From ee44746ffe75ab7e89dc91ecea21ab25284a017c Mon Sep 17 00:00:00 2001 From: Dzung Pham Date: Tue, 1 Sep 2026 08:41:12 -0700 Subject: [PATCH 01/27] Add Superconductor sheet boundary configuration Parse the Superconductor boundary block into SuperconductorData (London penetration depth and film thickness, or a direct kinetic sheet inductance), nondimensionalize its lengths in mesh units, extend the config schema, and warn when it is used outside a Magnetostatic simulation. --- palace/utils/configfile.cpp | 41 +++++++++++++++++++++++++++++++ palace/utils/configfile.hpp | 22 +++++++++++++++++ palace/utils/iodata.cpp | 13 ++++++++++ scripts/schema/config-schema.json | 36 +++++++++++++++++++++++++++ 4 files changed, 112 insertions(+) diff --git a/palace/utils/configfile.cpp b/palace/utils/configfile.cpp index 761b9ca4ff5..5231389aec4 100644 --- a/palace/utils/configfile.cpp +++ b/palace/utils/configfile.cpp @@ -455,6 +455,36 @@ RationalImpedanceData::RationalImpedanceData(const json &boundary) "Rational impedance \"Numerator\" must have a nonzero coefficient!"); } +SuperconductorData::SuperconductorData(const json &boundary) +{ + attributes = boundary.at("Attributes").get>(); // Required + std::sort(attributes.begin(), attributes.end()); + lambda_L = boundary.value("PenetrationDepth", lambda_L); + thickness = boundary.value("Thickness", thickness); + Ls = boundary.value("KineticInductance", Ls); + + // Require exactly one of {(PenetrationDepth, Thickness), KineticInductance}. The (λ, d) + // form defines the kinetic sheet inductance as L_ksq = mu0 * lambda^2 / d; the direct + // form supplies L_ksq itself. + const bool has_lambda_d = (lambda_L != 0.0 || thickness != 0.0); + const bool has_Ls = (Ls != 0.0); + MFEM_VERIFY(has_lambda_d != has_Ls, + "Superconductor boundary requires exactly one of {(\"PenetrationDepth\", " + "\"Thickness\"), \"KineticInductance\"}!"); + if (has_lambda_d) + { + MFEM_VERIFY( + lambda_L > 0.0 && thickness > 0.0, + "Superconductor boundary \"PenetrationDepth\" and \"Thickness\" must both be " + "positive!"); + } + else + { + MFEM_VERIFY(Ls > 0.0, + "Superconductor boundary \"KineticInductance\" must be positive!"); + } +} + LumpedPortData::LumpedPortData(const json &port) { int index = port.at("Index"); // Required @@ -983,6 +1013,7 @@ BoundaryData::BoundaryData(const json &boundaries) impedance = ParseOptionalVector(boundaries, "Impedance"); rational_impedance = ParseOptionalVector(boundaries, "RationalImpedance"); + superconductor = ParseOptionalVector(boundaries, "Superconductor"); lumpedport = ParseOptionalMap(boundaries, "LumpedPort", "\"LumpedPort\""); terminal = ParseOptionalMap(boundaries, "Terminal", "\"Terminal\""); periodic = ParseOptional(boundaries, "Periodic"); @@ -1684,6 +1715,16 @@ void Nondimensionalize(const Units &units, ImpedanceData &data) data.Cs /= units.GetScaleFactor(); } +void Nondimensionalize(const Units &units, SuperconductorData &data) +{ + // PenetrationDepth (λ) and Thickness (d) are entered in mesh length units (L0), like all + // geometric lengths, so they use the mesh-relative scale (consistent with MaterialData's + // LondonDepth and ConductivityData's Thickness). KineticInductance (Ls) is in Henries. + data.lambda_L /= units.GetMeshLengthRelativeScale(); + data.thickness /= units.GetMeshLengthRelativeScale(); + data.Ls /= units.GetScaleFactor(); +} + void Nondimensionalize(const Units &units, LumpedPortData &data) { data.R /= units.GetScaleFactor(); diff --git a/palace/utils/configfile.hpp b/palace/utils/configfile.hpp index 1f44c5a61da..e8031bd1ecc 100644 --- a/palace/utils/configfile.hpp +++ b/palace/utils/configfile.hpp @@ -432,6 +432,26 @@ struct RationalImpedanceData RationalImpedanceData(const json &boundary); }; +struct SuperconductorData +{ +public: + // London penetration depth λ and film thickness d, in mesh length units. These define the + // kinetic sheet inductance of a thin-film superconductor modeled as a 2D sheet: + // L_ksq = mu0 * lambda^2 / d [H/square]. + double lambda_L = 0.0; + double thickness = 0.0; + + // Kinetic sheet inductance L_ksq [H/sq], specified directly as an alternative to (λ, d). + // Exactly one of {(λ, d), Ls} must be provided. + double Ls = 0.0; + + // List of boundary attributes for this superconductor sheet. + std::vector attributes = {}; + + SuperconductorData() = default; + SuperconductorData(const json &boundary); +}; + struct LumpedPortData { public: @@ -796,6 +816,7 @@ struct BoundaryData std::vector conductivity = {}; std::vector impedance = {}; std::vector rational_impedance = {}; + std::vector superconductor = {}; std::map lumpedport = {}; std::map terminal = {}; std::map waveport = {}; @@ -1209,6 +1230,7 @@ void Nondimensionalize(const Units &units, ProbeData &data); void Nondimensionalize(const Units &units, CurrentDipoleData &data); void Nondimensionalize(const Units &units, ConductivityData &data); void Nondimensionalize(const Units &units, ImpedanceData &data); +void Nondimensionalize(const Units &units, SuperconductorData &data); void Nondimensionalize(const Units &units, LumpedPortData &data); void Nondimensionalize(const Units &units, PeriodicBoundaryData &data); void Nondimensionalize(const Units &units, WavePortData &data); diff --git a/palace/utils/iodata.cpp b/palace/utils/iodata.cpp index 6737e1bc95f..d36a4544dfc 100644 --- a/palace/utils/iodata.cpp +++ b/palace/utils/iodata.cpp @@ -453,6 +453,15 @@ void IoData::CheckConfiguration() } } + // Superconductor sheet boundaries (kinetic inductance) are only meaningful for the + // magnetostatic total-inductance extraction. + if (!boundaries.superconductor.empty() && problem.type != ProblemType::MAGNETOSTATIC) + { + Mpi::Warning( + "Only the Magnetostatic problem type supports Superconductor sheet boundary " + "conditions!\n"); + } + // Resolve default values in configuration file. if (solver.linear.type == LinearSolver::DEFAULT) { @@ -718,6 +727,10 @@ void IoData::NondimensionalizeInputs(std::unique_ptr &mesh) { config::Nondimensionalize(units, data); } + for (auto &data : boundaries.superconductor) + { + config::Nondimensionalize(units, data); + } for (auto &[idx, data] : boundaries.lumpedport) { config::Nondimensionalize(units, data); diff --git a/scripts/schema/config-schema.json b/scripts/schema/config-schema.json index 235c5d010b1..c15e2cd259a 100644 --- a/scripts/schema/config-schema.json +++ b/scripts/schema/config-schema.json @@ -300,6 +300,14 @@ "$ref": "#/$defs/FluxLoop" } }, + "Superconductor": { + "type": "array", + "description": "Array of thin-film superconductor sheet boundaries for magnetostatic simulations. Each sheet contributes a London kinetic-inductance term to the extracted total inductance, modeled by the kinetic sheet inductance L_ksq = mu0 * lambda^2 / d, specified either via the penetration depth and film thickness or directly. Only available for magnetostatic simulations.", + "additionalItems": false, + "items": { + "$ref": "#/$defs/Superconductor" + } + }, "Ground": { "$ref": "#/$defs/Ground", "title": "Ground Boundary", @@ -926,6 +934,34 @@ } } }, + "Superconductor": { + "type": "object", + "additionalProperties": false, + "required": [ + "Attributes" + ], + "properties": { + "Attributes": { + "$ref": "#/$defs/Attributes", + "description": "Integer array of mesh boundary attributes this object applies to." + }, + "PenetrationDepth": { + "type": "number", + "description": "London penetration depth λ of the superconducting film, specified in mesh length units. Used with Thickness to compute the kinetic sheet inductance L_ksq = mu0 * lambda^2 / d. Mutually exclusive with KineticInductance.", + "default": 0.0 + }, + "Thickness": { + "type": "number", + "description": "Superconducting film thickness d, specified in mesh length units. Used with PenetrationDepth to compute the kinetic sheet inductance L_ksq = mu0 * lambda^2 / d. Mutually exclusive with KineticInductance.", + "default": 0.0 + }, + "KineticInductance": { + "type": "number", + "description": "Kinetic sheet inductance L_ksq, H/sq, specified directly as an alternative to (PenetrationDepth, Thickness). Mutually exclusive with those two.", + "default": 0.0 + } + } + }, "RationalImpedance": { "type": "object", "additionalProperties": false, From e96edae151df8f6d307522d2d6c8cbec83000bcc Mon Sep 17 00:00:00 2001 From: Dzung Pham Date: Tue, 1 Sep 2026 08:41:29 -0700 Subject: [PATCH 02/27] Add SuperconductorSheetOperator Model a thin-film superconductor as a 2D sheet contributing the London kinetic sheet inductance L_ksq = mu0 * lambda^2 / d. The operator supplies the tangential surface-mass coefficient (1/L_ksq) A_t . v_t, with per-attribute area scaling for cracked interior boundaries. --- palace/models/CMakeLists.txt | 1 + palace/models/superconductorsheetoperator.cpp | 153 ++++++++++++++++++ palace/models/superconductorsheetoperator.hpp | 70 ++++++++ 3 files changed, 224 insertions(+) create mode 100644 palace/models/superconductorsheetoperator.cpp create mode 100644 palace/models/superconductorsheetoperator.hpp diff --git a/palace/models/CMakeLists.txt b/palace/models/CMakeLists.txt index b2f0e6babbf..62c2b970354 100644 --- a/palace/models/CMakeLists.txt +++ b/palace/models/CMakeLists.txt @@ -30,6 +30,7 @@ target_sources(${LIB_TARGET_NAME} ${CMAKE_CURRENT_SOURCE_DIR}/surfaceimpedanceoperator.cpp ${CMAKE_CURRENT_SOURCE_DIR}/surfacepostoperator.cpp ${CMAKE_CURRENT_SOURCE_DIR}/surfacerationalimpedanceoperator.cpp + ${CMAKE_CURRENT_SOURCE_DIR}/superconductorsheetoperator.cpp ${CMAKE_CURRENT_SOURCE_DIR}/timeoperator.cpp ${CMAKE_CURRENT_SOURCE_DIR}/waveportoperator.cpp ) diff --git a/palace/models/superconductorsheetoperator.cpp b/palace/models/superconductorsheetoperator.cpp new file mode 100644 index 00000000000..03fe5fc0f37 --- /dev/null +++ b/palace/models/superconductorsheetoperator.cpp @@ -0,0 +1,153 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 + +#include "superconductorsheetoperator.hpp" + +#include +#include "models/materialoperator.hpp" +#include "utils/communication.hpp" +#include "utils/geodata.hpp" +#include "utils/iodata.hpp" +#include "utils/prettyprint.hpp" + +namespace palace +{ + +SuperconductorSheetOperator::SuperconductorSheetOperator( + const std::vector &superconductor, + const std::unordered_set &cracked_attributes, const Units &units, + const MaterialOperator &mat_op, const mfem::ParMesh &mesh) + : mat_op(mat_op) +{ + SetUpBoundaryProperties(superconductor, cracked_attributes, mesh); + PrintBoundaryInfo(units, mesh); +} + +SuperconductorSheetOperator::SuperconductorSheetOperator(const IoData &iodata, + const MaterialOperator &mat_op, + const mfem::ParMesh &mesh) + : SuperconductorSheetOperator(iodata.boundaries.superconductor, + iodata.boundaries.cracked_attributes, iodata.units, mat_op, + mesh) +{ +} + +void SuperconductorSheetOperator::SetUpBoundaryProperties( + const std::vector &superconductor, + const std::unordered_set &cracked_attributes, const mfem::ParMesh &mesh) +{ + // Check that superconductor sheet boundary attributes have been specified correctly. + int bdr_attr_max = mesh.bdr_attributes.Size() ? mesh.bdr_attributes.Max() : 0; + mfem::Array bdr_attr_marker; + if (!superconductor.empty()) + { + mfem::Array superconductor_marker(bdr_attr_max); + bdr_attr_marker.SetSize(bdr_attr_max); + bdr_attr_marker = 0; + superconductor_marker = 0; + for (auto attr : mesh.bdr_attributes) + { + bdr_attr_marker[attr - 1] = 1; + } + std::set bdr_warn_list; + for (const auto &data : superconductor) + { + for (auto attr : data.attributes) + { + MFEM_VERIFY(!superconductor_marker[attr - 1], + "Multiple definitions of superconductor sheet boundary properties for " + "boundary attribute " + << attr << "!"); + superconductor_marker[attr - 1] = 1; + if (attr <= 0 || attr > bdr_attr_max || !bdr_attr_marker[attr - 1]) + { + bdr_warn_list.insert(attr); + } + } + } + if (!bdr_warn_list.empty()) + { + Mpi::Print("\n"); + Mpi::Warning("Unknown superconductor sheet boundary attributes!\nSolver will just " + "ignore them!"); + utils::PrettyPrint(bdr_warn_list, "Boundary attribute list:"); + Mpi::Print("\n"); + } + } + + // Superconductor sheets are defined by the kinetic sheet inductance L_ksq [H/sq], either + // supplied directly or computed as L_ksq = lambda^2 / d (nondimensional, mu0 absorbed). + boundaries.reserve(superconductor.size()); + for (const auto &data : superconductor) + { + const double Ls = + (data.Ls > 0.0) ? data.Ls : (data.lambda_L * data.lambda_L / data.thickness); + MFEM_VERIFY(Ls > 0.0, + "Superconductor sheet has non-positive kinetic sheet inductance!"); + auto &bdr = boundaries.emplace_back(); + bdr.Ls = Ls; + bdr.attr_list.Reserve(static_cast(data.attributes.size())); + for (auto attr : data.attributes) + { + if (attr <= 0 || attr > bdr_attr_max || !bdr_attr_marker[attr - 1]) + { + continue; // Can just ignore if wrong + } + bdr.attr_list.Append(attr); + // Per-attribute scaling to account for increased area when using mesh cracking. + bdr.attr_scaling[attr] = + (cracked_attributes.find(attr) != cracked_attributes.end()) ? 2.0 : 1.0; + } + } +} + +void SuperconductorSheetOperator::PrintBoundaryInfo(const Units &units, + const mfem::ParMesh &mesh) +{ + if (boundaries.empty()) + { + return; + } + + fmt::memory_buffer buffer{}; + auto out = fmt::appender{buffer}; + using VT = Units::ValueType; + + fmt::format_to(out, "\nConfiguring superconductor sheet BC at attributes:\n"); + for (const auto &bdr : boundaries) + { + for (auto attr : bdr.attr_list) + { + fmt::format_to(out, " {:d}: L_ksq = {:.3e} H/sq, n = ({:+.1f})\n", attr, + units.Dimensionalize(bdr.Ls), + fmt::join(mesh::GetSurfaceNormal(mesh, attr), ",")); + } + } + Mpi::Print("{}", fmt::to_string(buffer)); +} + +mfem::Array SuperconductorSheetOperator::GetAttrList() const +{ + mfem::Array attr_list; + for (const auto &bdr : boundaries) + { + attr_list.Append(bdr.attr_list); + } + return attr_list; +} + +void SuperconductorSheetOperator::AddStiffnessBdrCoefficients( + double coeff, MaterialPropertyCoefficient &fb) const +{ + // Kinetic sheet inductance boundaries: add (coeff / L_ksq) as a tangential surface mass. + for (const auto &bdr : boundaries) + { + for (auto attr : bdr.attr_list) + { + const double s = bdr.attr_scaling.at(attr); + fb.AddMaterialProperty(mat_op.GetCeedBdrAttributes(attr), coeff / (bdr.Ls * s)); + } + } +} + +} // namespace palace diff --git a/palace/models/superconductorsheetoperator.hpp b/palace/models/superconductorsheetoperator.hpp new file mode 100644 index 00000000000..9185b25136d --- /dev/null +++ b/palace/models/superconductorsheetoperator.hpp @@ -0,0 +1,70 @@ +// Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +// SPDX-License-Identifier: Apache-2.0 + +#ifndef PALACE_MODELS_SUPERCONDUCTOR_SHEET_OPERATOR_HPP +#define PALACE_MODELS_SUPERCONDUCTOR_SHEET_OPERATOR_HPP + +#include +#include +#include +#include +#include "utils/configfile.hpp" + +namespace palace +{ + +class IoData; +class MaterialOperator; +class MaterialPropertyCoefficient; +class Units; + +// +// A class handling thin-film superconductor sheet boundaries. Each sheet contributes a +// tangential surface term (1/L_ksq) A_t · v_t to the curl-curl operator, where the kinetic +// sheet inductance is L_ksq = mu0 * lambda^2 / d (nondimensionally lambda^2 / d). This is +// the London kinetic-inductance contribution for a superconducting film modeled as a 2D +// sheet. +// +class SuperconductorSheetOperator +{ +private: + // Reference to material property data (not owned). + const MaterialOperator &mat_op; + + // Surface properties for superconductor sheet attributes: kinetic sheet inductance L_ksq + // [H/sq] and the per-attribute area scaling for mesh cracking. + struct SuperconductorSheetData + { + double Ls; + mfem::Array attr_list; + std::unordered_map attr_scaling; + }; + std::vector boundaries; + + void + SetUpBoundaryProperties(const std::vector &superconductor, + const std::unordered_set &cracked_attributes, + const mfem::ParMesh &mesh); + void PrintBoundaryInfo(const Units &units, const mfem::ParMesh &mesh); + +public: + SuperconductorSheetOperator(const std::vector &superconductor, + const std::unordered_set &cracked_attributes, + const Units &units, const MaterialOperator &mat_op, + const mfem::ParMesh &mesh); + SuperconductorSheetOperator(const IoData &iodata, const MaterialOperator &mat_op, + const mfem::ParMesh &mesh); + + // Returns array of superconductor sheet attributes. + mfem::Array GetAttrList() const; + + // Returns true if no superconductor sheets are configured. + bool empty() const { return boundaries.empty(); } + + // Add the tangential surface mass contribution (1/L_ksq) A_t · v_t to the system matrix. + void AddStiffnessBdrCoefficients(double coeff, MaterialPropertyCoefficient &fb) const; +}; + +} // namespace palace + +#endif // PALACE_MODELS_SUPERCONDUCTOR_SHEET_OPERATOR_HPP From fbc1c487053c1d7b79c70530a4d45f18b8ab93bc Mon Sep 17 00:00:00 2001 From: Dzung Pham Date: Tue, 1 Sep 2026 08:41:51 -0700 Subject: [PATCH 03/27] Include kinetic sheet term in curl-curl stiffness matrix Assemble the superconductor kinetic sheet term into both the base and screened stiffness matrices so the magnetostatic solve carries the London kinetic inductance alongside the geometric contribution. --- palace/models/curlcurloperator.cpp | 24 +++++++++++++++++++++--- palace/models/curlcurloperator.hpp | 9 ++++++++- 2 files changed, 29 insertions(+), 4 deletions(-) diff --git a/palace/models/curlcurloperator.cpp b/palace/models/curlcurloperator.cpp index adb8228736e..0e6ffa64ccf 100644 --- a/palace/models/curlcurloperator.cpp +++ b/palace/models/curlcurloperator.cpp @@ -22,7 +22,7 @@ namespace palace CurlCurlOperator::CurlCurlOperator(const config::BoundaryData &boundaries, const config::SolverData &solver, const std::vector &materials, - ProblemType problem_type, + ProblemType problem_type, const Units &units, const std::vector> &mesh) : print_hdr(true), dbc_attr(SetUpBoundaryProperties(boundaries.pec, boundaries.fluxloop, *mesh.back())), @@ -40,7 +40,9 @@ CurlCurlOperator::CurlCurlOperator(const config::BoundaryData &boundaries, solver.linear.mg_max_levels, mesh, h1_fecs)), rt_fespace(*mesh.back(), rt_fec.get()), mat_op(materials, boundaries.periodic, problem_type, *mesh.back()), - surf_j_op(boundaries.current, *mesh.back()) + surf_j_op(boundaries.current, *mesh.back()), + sc_sheet_op(boundaries.superconductor, boundaries.cracked_attributes, units, mat_op, + *mesh.back()) { // In 2D, curl maps H(curl) → L2 (scalar), so add an L2 space for B = curl A. if (mesh.back()->Dimension() == 2) @@ -65,7 +67,7 @@ CurlCurlOperator::CurlCurlOperator(const config::BoundaryData &boundaries, CurlCurlOperator::CurlCurlOperator(const IoData &iodata, const std::vector> &mesh) : CurlCurlOperator(iodata.boundaries, iodata.solver, iodata.domains.materials, - iodata.problem.type, mesh) + iodata.problem.type, iodata.units, mesh) { surf_flux_op = SurfaceFluxOperator(iodata); } @@ -202,6 +204,14 @@ std::unique_ptr CurlCurlOperator::GetStiffnessMatrix() mat_op.GetCurlCurlInvPermeability()); BilinearForm k(GetNDSpace()); k.AddDomainIntegrator(muinv_func); + // Add the thin-film superconductor kinetic sheet term (1/L_ksq) A_t · v_t as a tangential + // surface mass on the ND space. + MaterialPropertyCoefficient fbr(mat_op.MaxCeedBdrAttribute()); + sc_sheet_op.AddStiffnessBdrCoefficients(1.0, fbr); + if (!fbr.empty()) + { + k.AddBoundaryIntegrator(fbr); + } // k.AssembleQuadratureData(); auto k_vec = k.Assemble(GetNDSpaces(), skip_zeros); auto K = std::make_unique(GetNDSpaces().GetNumLevels()); @@ -259,6 +269,14 @@ CurlCurlOperator::GetScreenedStiffnessMatrix(const mfem::Array &extra_dbc_a mat_op.GetCurlCurlInvPermeability()); BilinearForm k(GetNDSpace()); k.AddDomainIntegrator(muinv_func); + // Include the thin-film superconductor kinetic sheet term so shorted-port assemblies + // carry the same kinetic inductance as the base stiffness matrix. + MaterialPropertyCoefficient fbr(mat_op.MaxCeedBdrAttribute()); + sc_sheet_op.AddStiffnessBdrCoefficients(1.0, fbr); + if (!fbr.empty()) + { + k.AddBoundaryIntegrator(fbr); + } auto k_vec = k.Assemble(GetNDSpaces(), skip_zeros); // Add the new entry before binding essential DOFs, since SetEssentialTrueDofs keeps a diff --git a/palace/models/curlcurloperator.hpp b/palace/models/curlcurloperator.hpp index 2ed4e054a0c..af2a38b2805 100644 --- a/palace/models/curlcurloperator.hpp +++ b/palace/models/curlcurloperator.hpp @@ -14,6 +14,7 @@ #include "linalg/rap.hpp" #include "linalg/vector.hpp" #include "models/materialoperator.hpp" +#include "models/superconductorsheetoperator.hpp" #include "models/surfacecurlsolver.hpp" #include "models/surfacecurrentoperator.hpp" #include "models/surfacefluxoperator.hpp" @@ -23,6 +24,7 @@ namespace palace class IoData; class Mesh; +class Units; template class PostOperator; @@ -85,6 +87,9 @@ class CurlCurlOperator // Operator for flux loop excitation. SurfaceFluxOperator surf_flux_op; + // Operator for thin-film superconductor sheet (kinetic inductance) boundaries. + SuperconductorSheetOperator sc_sheet_op; + // Cached original matrix for flux loop boundary-interior coupling mutable std::unique_ptr K_orig_; @@ -97,7 +102,7 @@ class CurlCurlOperator public: CurlCurlOperator(const config::BoundaryData &boundaries, const config::SolverData &solver, const std::vector &materials, - ProblemType problem_type, + ProblemType problem_type, const Units &units, const std::vector> &mesh); CurlCurlOperator(const IoData &iodata, const std::vector> &mesh); @@ -107,6 +112,8 @@ class CurlCurlOperator // Access to underlying BC operator objects for postprocessing. const auto &GetSurfaceCurrentOp() const { return surf_j_op; } const auto &GetSurfaceFluxOp() const { return surf_flux_op; } + auto &GetSuperconductorOp() { return sc_sheet_op; } + const auto &GetSuperconductorOp() const { return sc_sheet_op; } // Return the parallel finite element space objects. auto &GetNDSpaces() { return nd_fespaces; } From 1da2aba1b9a096b2b96b7a438b359419a6c65924 Mon Sep 17 00:00:00 2001 From: Dzung Pham Date: Tue, 1 Sep 2026 08:42:00 -0700 Subject: [PATCH 04/27] Include kinetic sheet energy in extracted inductance Add the kinetic sheet term to the magnetostatic energy operator M_mag so that A^T M_mag A = 2 E_mag captures the London kinetic energy, yielding the total (geometric + kinetic) inductance from the energy-based extraction. --- palace/models/domainpostoperator.cpp | 16 +++++++++++++++- palace/models/domainpostoperator.hpp | 4 +++- palace/models/postoperator.cpp | 2 +- 3 files changed, 19 insertions(+), 3 deletions(-) diff --git a/palace/models/domainpostoperator.cpp b/palace/models/domainpostoperator.cpp index f938ceb4ae9..e520e8d34a0 100644 --- a/palace/models/domainpostoperator.cpp +++ b/palace/models/domainpostoperator.cpp @@ -9,6 +9,7 @@ #include "fem/gridfunction.hpp" #include "fem/integrator.hpp" #include "models/materialoperator.hpp" +#include "models/superconductorsheetoperator.hpp" #include "utils/communication.hpp" #include "utils/iodata.hpp" @@ -113,7 +114,8 @@ DomainPostOperator::DomainPostOperator(const IoData &iodata, const MaterialOpera DomainPostOperator::DomainPostOperator(const config::DomainPostData &postpro, const MaterialOperator &mat_op, - const FiniteElementSpace &fespace) + const FiniteElementSpace &fespace, + const SuperconductorSheetOperator *sc_sheet_op) { const auto map_type = fespace.GetFEColl().GetMapType(fespace.Dimension()); if (map_type == mfem::FiniteElement::VALUE) @@ -152,6 +154,18 @@ DomainPostOperator::DomainPostOperator(const config::DomainPostData &postpro, mat_op.GetCurlCurlInvPermeability()); BilinearForm m(fespace); m.AddDomainIntegrator(muinv_func); + // Add the kinetic sheet term so AᵀM_mag·A = 2·E_mag includes the London kinetic + // inductance, yielding total (geometric + kinetic) inductance. The coefficient must + // outlive PartialAssemble(), which stores a pointer to it. + MaterialPropertyCoefficient fbr(mat_op.MaxCeedBdrAttribute()); + if (sc_sheet_op && !sc_sheet_op->empty()) + { + sc_sheet_op->AddStiffnessBdrCoefficients(1.0, fbr); + if (!fbr.empty()) + { + m.AddBoundaryIntegrator(fbr); + } + } M_mag = m.PartialAssemble(); H.SetSize(M_mag->Height()); H.UseDevice(true); diff --git a/palace/models/domainpostoperator.hpp b/palace/models/domainpostoperator.hpp index 9d4554cbb05..7d3710ba3b1 100644 --- a/palace/models/domainpostoperator.hpp +++ b/palace/models/domainpostoperator.hpp @@ -17,6 +17,7 @@ class GridFunction; class FiniteElementSpace; class IoData; class MaterialOperator; +class SuperconductorSheetOperator; namespace config { @@ -46,7 +47,8 @@ class DomainPostOperator const FiniteElementSpace &nd_fespace, const FiniteElementSpace &rt_fespace); DomainPostOperator(const config::DomainPostData &postpro, const MaterialOperator &mat_op, - const FiniteElementSpace &fespace); + const FiniteElementSpace &fespace, + const SuperconductorSheetOperator *sc_sheet_op = nullptr); DomainPostOperator(const IoData &iodata, const MaterialOperator &mat_op, const FiniteElementSpace &nd_fespace, const FiniteElementSpace &rt_fespace); diff --git a/palace/models/postoperator.cpp b/palace/models/postoperator.cpp index 526a4c6246c..6f456a685ed 100644 --- a/palace/models/postoperator.cpp +++ b/palace/models/postoperator.cpp @@ -78,7 +78,7 @@ PostOperator::PostOperator(const config::ProblemData &problem, else if constexpr (solver_t == ProblemType::MAGNETOSTATIC) { return DomainPostOperator(domains.postpro, fem_op_.GetMaterialOp(), - fem_op_.GetNDSpace()); + fem_op_.GetNDSpace(), &fem_op_.GetSuperconductorOp()); } else if constexpr (solver_t == ProblemType::BOUNDARYMODE) { From e2eb346385494480408d970d06712c78247756b9 Mon Sep 17 00:00:00 2001 From: Dzung Pham Date: Tue, 1 Sep 2026 08:42:27 -0700 Subject: [PATCH 05/27] Add microstrip kinetic inductance validation example A parallel-plate microstrip loop validating the superconductor sheet against the closed-form London limits: the PEC baseline gives the geometric inductance, and the superconductor config recovers L = L_geom + L_kin with L_kin linear in lambda^2 and the correct lambda -> 0 geometric limit. --- examples/microstrip/mesh/mesh.jl | 196 +++++++++++++++ examples/microstrip/mesh/microstrip.msh | Bin 0 -> 1326008 bytes examples/microstrip/microstrip.json | 49 ++++ examples/microstrip/microstrip_pec.json | 39 +++ examples/microstrip/run_pec.log | 145 +++++++++++ examples/microstrip/run_sc.log | Bin 0 -> 3803 bytes examples/microstrip/run_sc1.log | 319 ++++++++++++++++++++++++ 7 files changed, 748 insertions(+) create mode 100644 examples/microstrip/mesh/mesh.jl create mode 100644 examples/microstrip/mesh/microstrip.msh create mode 100644 examples/microstrip/microstrip.json create mode 100644 examples/microstrip/microstrip_pec.json create mode 100644 examples/microstrip/run_pec.log create mode 100644 examples/microstrip/run_sc.log create mode 100644 examples/microstrip/run_sc1.log diff --git a/examples/microstrip/mesh/mesh.jl b/examples/microstrip/mesh/mesh.jl new file mode 100644 index 00000000000..b8437b76314 --- /dev/null +++ b/examples/microstrip/mesh/mesh.jl @@ -0,0 +1,196 @@ +# Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +# SPDX-License-Identifier: Apache-2.0 + +# Generate example mesh with: +# julia -e 'include("mesh/mesh.jl"); generate_microstrip_mesh(filename="microstrip.msh")' + +using Gmsh: gmsh + +""" + generate_microstrip_mesh(; + filename::AbstractString, + strip_length::Real = 100.0, + plate_width::Real = 40.0, + separation::Real = 2.0, + terminal_length::Real = 4.0, + l_conductor::Real = 4.0, + l_farfield::Real = 60.0, + farfield_pad::Real = 200.0, + verbose::Integer = 5, + gui::Bool = false + ) + +Generate a mesh for the microstrip example using Gmsh: a superconducting strip over an +equal-width ground plane, shorted at both ends into a closed single-turn current loop. A +short terminal patch on the top strip carries the current excitation. The conductor and +terminal surfaces are tagged separately so they can be assigned PEC (geometric-inductance +baseline) or Superconductor (finite London penetration depth) boundary conditions. The +parallel-plate limit `separation << plate_width` yields the analytic loop inductance +`L ≈ μ₀ * separation * strip_length / plate_width`. + +# Arguments + + - filename - the filename to use for the generated mesh + - strip_length - length of the strip and ground plane (x), μm + - plate_width - width of the plates (y), μm + - separation - gap between strip and ground plane (z), μm + - terminal_length - length of the current-source patch on the strip (x), μm + - l_conductor - target mesh size on the conductor surfaces + - l_farfield - target mesh size at the farfield boundary + - farfield_pad - padding from the loop to the farfield box, μm + - verbose - flag to dictate the level of print to REPL, passed to Gmsh + - gui - whether to launch the Gmsh GUI on mesh generation +""" +function generate_microstrip_mesh(; + filename::AbstractString, + strip_length::Real = 100.0, + plate_width::Real = 40.0, + separation::Real = 2.0, + terminal_length::Real = 4.0, + l_conductor::Real = 4.0, + l_farfield::Real = 60.0, + farfield_pad::Real = 200.0, + verbose::Integer = 5, + gui::Bool = false +) + kernel = gmsh.model.occ + + gmsh.initialize() + gmsh.option.setNumber("General.Verbosity", verbose) + + # Add model + if "microstrip" in gmsh.model.list() + gmsh.model.setCurrent("microstrip") + gmsh.model.remove() + end + gmsh.model.add("microstrip") + + # Geometry parameters (in μm) + hl = 0.5 * strip_length + hz = 0.5 * separation + ht = 0.5 * terminal_length + + # Points: top strip (z = +hz), split into left / terminal / right along x + a = kernel.addPoint(-hl, 0.0, hz, l_conductor) + t1 = kernel.addPoint(-ht, 0.0, hz, l_conductor) + t2 = kernel.addPoint(ht, 0.0, hz, l_conductor) + b = kernel.addPoint(hl, 0.0, hz, l_conductor) + d = kernel.addPoint(-hl, plate_width, hz, l_conductor) + t3 = kernel.addPoint(-ht, plate_width, hz, l_conductor) + t4 = kernel.addPoint(ht, plate_width, hz, l_conductor) + c = kernel.addPoint(hl, plate_width, hz, l_conductor) + + # Points: ground plane (z = -hz) + e = kernel.addPoint(-hl, 0.0, -hz, l_conductor) + f = kernel.addPoint(hl, 0.0, -hz, l_conductor) + g = kernel.addPoint(hl, plate_width, -hz, l_conductor) + h = kernel.addPoint(-hl, plate_width, -hz, l_conductor) + + function quad(p1, p2, p3, p4) + l1 = kernel.addLine(p1, p2) + l2 = kernel.addLine(p2, p3) + l3 = kernel.addLine(p3, p4) + l4 = kernel.addLine(p4, p1) + return kernel.addPlaneSurface([kernel.addCurveLoop([l1, l2, l3, l4])]) + end + + # Top strip (left / terminal / right), ground plane, and the two shorting end walls + top_left = quad(a, t1, t3, d) + terminal = quad(t1, t2, t4, t3) + top_right = quad(t2, b, c, t4) + bottom = quad(e, f, g, h) + wall_p = quad(b, f, g, c) + wall_m = quad(a, e, h, d) + + conductor_surfaces = [top_left, top_right, bottom, wall_p, wall_m] + embedded_surfaces = vcat(conductor_surfaces, terminal) + + # Add external box + domain = kernel.addBox( + -hl - farfield_pad, + -farfield_pad, + -farfield_pad, + strip_length + 2.0 * farfield_pad, + plate_width + 2.0 * farfield_pad, + separation + 2.0 * farfield_pad + ) + + # Imprint the conductor and terminal surfaces into the domain volume so the mesh + # conforms to them (a plain embed of the closed conductor shell trips tetgen). + kernel.fragment([(3, domain)], [(2, s) for s in embedded_surfaces]) + kernel.synchronize() + + # The fragment renumbers surfaces, so locate the physical groups by bounding box. + volumes = [v[2] for v in gmsh.model.getEntities(3)] + @assert length(volumes) == 1 + domain = volumes[1] + + tol = 1.0e-3 + surfs_in(x0, y0, z0, x1, y1, z1) = [ + s[2] for s in gmsh.model.getEntitiesInBoundingBox( + x0 - tol, y0 - tol, z0 - tol, x1 + tol, y1 + tol, z1 + tol, 2 + ) + ] + + terminal_surfs = surfs_in(-ht, 0.0, hz, ht, plate_width, hz) + top_surfs = setdiff(surfs_in(-hl, 0.0, hz, hl, plate_width, hz), terminal_surfs) + bottom_surfs = surfs_in(-hl, 0.0, -hz, hl, plate_width, -hz) + wall_p_surfs = surfs_in(hl, 0.0, -hz, hl, plate_width, hz) + wall_m_surfs = surfs_in(-hl, 0.0, -hz, -hl, plate_width, hz) + conductor_surfs = vcat(top_surfs, bottom_surfs, wall_p_surfs, wall_m_surfs) + + _, farfield_boundaries = gmsh.model.getAdjacencies(3, domain) + + # Add physical groups + domain_group = gmsh.model.addPhysicalGroup(3, [domain], -1, "domain") + farfield_group = gmsh.model.addPhysicalGroup(2, farfield_boundaries, -1, "farfield") + conductor_group = gmsh.model.addPhysicalGroup(2, conductor_surfs, -1, "conductor") + terminal_group = gmsh.model.addPhysicalGroup(2, terminal_surfs, -1, "terminal") + + # Generate mesh (fine on the conductor, coarsening toward the farfield) + gmsh.option.setNumber("Mesh.MeshSizeMin", l_conductor) + gmsh.option.setNumber("Mesh.MeshSizeMax", l_farfield) + gmsh.option.setNumber("Mesh.MeshSizeFromCurvature", 0) + gmsh.option.setNumber("Mesh.MeshSizeFromPoints", 0) + gmsh.option.setNumber("Mesh.MeshSizeExtendFromBoundary", 0) + + gmsh.model.mesh.field.add("Distance", 1) + gmsh.model.mesh.field.setNumbers(1, "SurfacesList", conductor_surfs) + gmsh.model.mesh.field.setNumber(1, "Sampling", 50) + + gmsh.model.mesh.field.add("Threshold", 2) + gmsh.model.mesh.field.setNumber(2, "InField", 1) + gmsh.model.mesh.field.setNumber(2, "SizeMin", l_conductor) + gmsh.model.mesh.field.setNumber(2, "SizeMax", l_farfield) + gmsh.model.mesh.field.setNumber(2, "DistMin", separation) + gmsh.model.mesh.field.setNumber(2, "DistMax", 0.5 * farfield_pad) + gmsh.model.mesh.field.setAsBackgroundMesh(2) + + gmsh.option.setNumber("Mesh.Algorithm", 6) + gmsh.option.setNumber("Mesh.Algorithm3D", 1) + + gmsh.model.mesh.generate(3) + gmsh.model.mesh.setOrder(2) + + # Save mesh + gmsh.option.setNumber("Mesh.MshFileVersion", 2.2) + gmsh.option.setNumber("Mesh.Binary", 1) + gmsh.write(joinpath(@__DIR__, filename)) + + # Print some information + println("\nFinished generating mesh. Physical group tags:") + println("Domain: ", domain_group) + println("Farfield boundaries: ", farfield_group) + println("Conductor: ", conductor_group) + println("Terminal: ", terminal_group) + println("Loop squares (perimeter / width): ", + (2.0 * strip_length + 2.0 * separation) / plate_width) + println() + + # Optionally launch GUI + if gui + gmsh.fltk.run() + end + + return gmsh.finalize() +end diff --git a/examples/microstrip/mesh/microstrip.msh b/examples/microstrip/mesh/microstrip.msh new file mode 100644 index 0000000000000000000000000000000000000000..f80592a20768e08d596d5d911e56526f291fd529 GIT binary patch literal 1326008 zcmZ_XcR)>V9{})cg-Rtw5}HbTY1e(aO{452tCH*#*(5VFDI+_CGPAPsyN^v)viD9% z4v|Rpe($;WJkPnE-uuVfdC$l5oaa2_`#fjd`!fw0HDyfTq{$Pb5>*{-9St1}-BcTi zL?TtwfVdc*nf4hobIRC}Q4>O=CXSk->a6N$=xAsh8#Ot0?5GJb#_)fg42?%lii?># zGI7#m+5dMoG)^2fdE(f(s0qfZPLQ#2%%q7?W8;k3td+Af4V@GNxjMMGICf(X4<&$4 zcg+4F|HFtIlWmc}novV@Q?|v3o01*f5!qxn7;!VQgFBwT;@>c06=K}+s5Pgi`1jOW z5aW(VttB-~HrWkEs!Dcn>9`$?RE^sdaYpi#s#C-AO=_(;Lz5IXR{j@_MH>IlL}Rh0 zz~T_Q3({%*KZA6wsmcF6?33>ri?#osL7r^{MvtfS{|xfh!`4ICKm@hFOf%y?rR08}9Zv6QZQ*3~lV)!5U zQ1g}VfdA#jJ2eS0E>2MMBgVxSYW~EyxI`_07#Gi|1rp=pAhjT3T>PXKOpJ@W)VdSn z;x)A%#JDj=ttT-Ehtt~W6*_E76XjEh;+`VvD}zDcbg zF)l_@>rc#IkZu66K!FV;7A&wZV%-%cLGoRUc#wPp{+Ba4-oph(11gE-)=(BLqgrW~9LAn2r({jRnyHqcLQpz-a7=5g3hG zqXb4{U97-Nk$e{;9xX6EVq*j*A~u#7_wTtKjCdTkDdLX9?O?>?xlIvQK5hpip1^I2 zxbxz6Fye{ariiN#ZU-Zd<2FTHJ#sr3@g#0j#MM8ygAvDbnu?al3A z#FM#AQ2-*F>;@yALUsfRERh)3zqlQYcq+Fk;`$}GgAq^THbq>2=5{dR>D;D>8wcDD zMm&St6mjE++rfxua+@M<+;KY?@homr#En;O2P2-%ZHf>go9qT7o5ZPom81Y=P zgNs$%4n~~BZHfXB*Xi{M6_^CccQN8+JgdK6TFx{1CO1YI@d|-)W0VoE z6c{%~8SyHCabuJbrwWW4ql|d9z_>BWh|>hdjZsFtMqu0+WyI+M&LGB(Kd!$q z;xpq?ptgY+S9WTd#JF>&wviZDSJXBUWkV+e?g#0n~Dc86x>6wOnFc%%QfAm`IUMqWH^*_X~`x14ev6U|bzA;)4R? z>VOd+5*SwpjQFs?xH@3Oc>?3=fDs=N7*_|3_^80RI$*@d1jdagMtodg+<0QdCj`cg zCq|qvFm60C;*$d7#uFnxB`|J0G2+t#21og=Rz@sPU|)#^3#^=2cZG5F%1FNn z%uw-f7%3w#u3j1GcY)cHbUy^f)hi>d5ExgljP$3#xO!!zzXZnBDT${QxD1iGSWW+GbQ#{VAjN{1xDsn=|6#S@sN?$2+V`zSt~Fu9x~E8fsr+X zRMdz=uHCtK$VeLz<6<4x-xz6QVgZUWP-{Yr%Zpl5Vq6)hH6zBAotg?U?wqMLC&twk zwHCyC}md1nF8)!y@)W(`gXX6PPA3Q-Ns_vlduu zVvYjSCgvirHpDyxrbEm}V7kP(wG=(Sw#57d>Dmzs5SSjZAc3_f#>F#wJbhwZ9HiEP z7`Ko6%Sa7~Nsx&BQ0qvHi!0PR5#!u-$IO<-JqW2Ei^-x#Tz_@vW zk@^UXns7C{4D?6NaH0s%a zrODEb9ff-}V3E(@c+-aBkOs_IW-h&OXagovlMM()+`9q0#-`4d7W3Yl^uJ(hcO9{JxiBjDdym%v5$9 z+z-kA$c{INXBzCjNF@6svv8iZknJ-ZjbwjhHkfC%va+lmg*l7h*>9PR7)ERe&tA(+ z+?&`?o{88@I}#hlvp%u|Va2)-$}*g1hBC_3VSEF|jfV*h7&jg!HelR%h~t^kc!2l1Ch<&ZJb=aXOldrTCGbpXJb+E+ znbLRwo5C}t@c@>{Go|qWHkD^e;{j|M&y>ak*mRyLjR&w9JX0DEU^989G#ak*j%vJZmI9wLdRfPmLk~4{(-+qV3!gMt|knPBKtU-2PPQ^ zp9cd3mJC+f;VPu`6xe()2C@W0TwdJY1z<7qJO#E8tWaJSfh_`4oP)p?gT=GQ8;?co zho0XOuzu|EVg!}~7Q?0+BCw@kUaa*L*fKErC(>K~mmY69Se85;s&6a6=E#pHu$5o~ zKkz4Hy^eHZ)*dtjlb`xLCKb0pnubrUs0Qb(_H&97izcYyoR<9D!{GYj7NaZ3Am? z9D!{IYj7NaWq~y~j=*++H8_sIc7ioHj=*+-H8_sIvcVc0M_{|b8XQMpd%zkTM__xw z$l-ritNigNMrFIHT zxoxSP22*ZZYG=Td+m_l{Fy*$TRsg2lw$#pnu^)($N^2Bo+y8i`v_=7w@=R%s0)}~} zv_=6t&oiYp3fKjnDXme!F7ixijRJOwXG&`nu**DCTBCqn;hEAJ1?(!%l-4L<*LbG1 zMghCdGecR$a%&W@LY^tDQNV8SOlge*b`z|@@ds;^TVM^2Kd{?i4URvsJ75itKd>UO z2FD-RU9bknA6PM1gX0hE9$16p59~fzgX0hE0a%0M59}dWgX0hE5mNay9SI~qr7jxxHZa$28>&ylr&)68s%dH#;s9G8!&E-@~Hvi)+nEO zrWEU-9lr2PDb|6N@k}Y!fqmtfQmg|j=b2Kh1N+7^rC0~X@JuPzfqmzhQmg~}!84^; 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0 HcmV?d00001 diff --git a/examples/microstrip/microstrip.json b/examples/microstrip/microstrip.json new file mode 100644 index 00000000000..c779b99d07e --- /dev/null +++ b/examples/microstrip/microstrip.json @@ -0,0 +1,49 @@ +{ + "Problem": + { + "Type": "Magnetostatic", + "Verbose": 2, + "Output": "postpro/superconductor" + }, + "Model": + { + "Mesh": "mesh/microstrip.msh", + "L0": 1.0e-6 // μm + }, + "Domains": + { + "Materials": + [ + { "Attributes": [1], "Permeability": 1.0 } + ], + "Postprocessing": + { + "Energy": [ { "Index": 1, "Attributes": [1] } ] + } + }, + "Boundaries": + { + "PEC": { "Attributes": [2] }, // Farfield + "Superconductor": + [ + { + // London sheet on strip body, ground plane, and walls (attr 3); L_ksq = μ₀ λ² / d, + // extracted L = L_geom + L_kin. The terminal (attr 4) stays the pure current port. + "Attributes": [3], + "PenetrationDepth": 0.4, // λ (μm) + "Thickness": 0.1 // d (μm) + } + ], + "SurfaceCurrent": + [ + { "Index": 1, "Attributes": [4], "Direction": [1.0, 0.0, 0.0] } // Terminal patch on strip + ] + }, + "Solver": + { + "Order": 2, + "Device": "CPU", + "Magnetostatic": { "Save": 0 }, + "Linear": { "Type": "AMS", "KSPType": "CG", "Tol": 1.0e-10, "MaxIts": 200 } + } +} diff --git a/examples/microstrip/microstrip_pec.json b/examples/microstrip/microstrip_pec.json new file mode 100644 index 00000000000..7dabdd21518 --- /dev/null +++ b/examples/microstrip/microstrip_pec.json @@ -0,0 +1,39 @@ +{ + "Problem": + { + "Type": "Magnetostatic", + "Verbose": 2, + "Output": "postpro/pec" + }, + "Model": + { + "Mesh": "mesh/microstrip.msh", + "L0": 1.0e-6 // μm + }, + "Domains": + { + "Materials": + [ + { "Attributes": [1], "Permeability": 1.0 } + ], + "Postprocessing": + { + "Energy": [ { "Index": 1, "Attributes": [1] } ] + } + }, + "Boundaries": + { + "PEC": { "Attributes": [2, 3] }, // Farfield + conductor: geometric inductance (λ → 0 limit) + "SurfaceCurrent": + [ + { "Index": 1, "Attributes": [4], "Direction": [1.0, 0.0, 0.0] } // Terminal patch on strip + ] + }, + "Solver": + { + "Order": 2, + "Device": "CPU", + "Magnetostatic": { "Save": 0 }, + "Linear": { "Type": "AMS", "KSPType": "CG", "Tol": 1.0e-10, "MaxIts": 200 } + } +} diff --git a/examples/microstrip/run_pec.log b/examples/microstrip/run_pec.log new file mode 100644 index 00000000000..a2b173aaa13 --- /dev/null +++ b/examples/microstrip/run_pec.log @@ -0,0 +1,145 @@ +>> /opt/homebrew/bin/mpirun -n 1 /Users/dzpham/palace_ci/install/bin/palace-arm64.bin microstrip_pec.json + +_____________ _______ +_____ __ \____ __ /____ ____________ +____ /_/ / __ ` / / __ ` / ___/ _ \ +___ _____/ /_/ / / /_/ / /__/ ___/ + /__/ \___,__/__/\___,__/\_____\_____/ + +Git changeset ID: v0.17.0-368-g9ae69fc02-dirty +Running with 1 MPI process +Device configuration: cpu +Memory configuration: host-std +libCEED backend: /cpu/self/opt/blocked + +Added 602 duplicate vertices for interior boundaries in the mesh +Added 1308 duplicate boundary elements for interior boundaries in the mesh + +Characteristic length and time scales: + Lc = 5.000e-04 m, tc = 1.668e-03 ns +Finished partitioning mesh into 1 subdomain + +Mesh curvature order: 2 +Mesh bounding box: + (Xmin, Ymin, Zmin) = (-2.500e-04, -2.000e-04, -2.000e-04) m + (Xmax, Ymax, Zmax) = (+2.500e-04, +2.400e-04, +2.020e-04) m + +Parallel Mesh Stats: + + minimum average maximum total + vertices 2796 2796 2796 2796 + edges 16341 16341 16341 16341 + faces 25337 25337 25337 25337 + elements 11791 11791 11791 11791 + neighbors 0 0 0 + + minimum maximum + h 0.00141519 0.189567 + kappa 1.02062 255.441 + +Estimated current per-rank memory usage is: Min. 33.3M, Max. 33.3M, Avg. 33.3M, Total 33.3M +Estimated current per-node memory usage is: Min. 33.3M, Max. 33.3M, Avg. 33.3M, Total 33.3M + +Configuring surface current excitation source term at attributes: + 4: Index = 1, n = (+0.0,+0.0,+1.0) + +Configuring Dirichlet BC at attributes: + 2-3 + +Assembling system matrices, number of global unknowns: + H1 (p = 2): 19137, ND (p = 2): 83356, RT (p = 2): 111384 + Operator assembly level: Partial + Mesh geometries: + Tetrahedron: P = 20, Q = 14 (quadrature order = 4) + +Assembling multigrid hierarchy: + Level 0 (p = 1): 16341 unknowns + Level 1 (p = 2): 83356 unknowns + +Computing magnetostatic fields for 1 source boundary + +It 1/1: Current Index = 1 (elapsed time = 7.23e-05 s) + Residual norms for PCG solve + 0 KSP residual norm ||r||_B = 2.133008e-02 + 1 KSP residual norm ||r||_B = 2.842020e-02 + 2 KSP residual norm ||r||_B = 2.716816e-02 + 3 KSP residual norm ||r||_B = 2.317206e-02 + 4 KSP residual norm ||r||_B = 1.752127e-02 + 5 KSP residual norm ||r||_B = 1.339593e-02 + 6 KSP residual norm ||r||_B = 1.147218e-02 + 7 KSP residual norm ||r||_B = 5.920160e-03 + 8 KSP residual norm ||r||_B = 2.623705e-03 + 9 KSP residual norm ||r||_B = 1.104980e-03 + 10 KSP residual norm ||r||_B = 5.253487e-04 + 11 KSP residual norm ||r||_B = 2.618763e-04 + 12 KSP residual norm ||r||_B = 1.489597e-04 + 13 KSP residual norm ||r||_B = 1.202205e-04 + 14 KSP residual norm ||r||_B = 7.201475e-05 + 15 KSP residual norm ||r||_B = 3.204428e-05 + 16 KSP residual norm ||r||_B = 2.566912e-05 + 17 KSP residual norm ||r||_B = 2.284125e-05 + 18 KSP residual norm ||r||_B = 1.357469e-05 + 19 KSP residual norm ||r||_B = 7.639710e-06 + 20 KSP residual norm ||r||_B = 2.819878e-06 + 21 KSP residual norm ||r||_B = 9.477610e-07 + 22 KSP residual norm ||r||_B = 4.657508e-07 + 23 KSP residual norm ||r||_B = 2.719200e-07 + 24 KSP residual norm ||r||_B = 1.273390e-07 + 25 KSP residual norm ||r||_B = 4.939176e-08 + 26 KSP residual norm ||r||_B = 2.400063e-08 + 27 KSP residual norm ||r||_B = 1.143074e-08 + 28 KSP residual norm ||r||_B = 3.966918e-09 + 29 KSP residual norm ||r||_B = 2.019812e-09 + 30 KSP residual norm ||r||_B = 1.810949e-09 + 31 KSP residual norm ||r||_B = 1.078019e-09 + 32 KSP residual norm ||r||_B = 4.535688e-10 + 33 KSP residual norm ||r||_B = 1.848627e-10 + 34 KSP residual norm ||r||_B = 6.996407e-11 + 35 KSP residual norm ||r||_B = 2.157517e-11 + 36 KSP residual norm ||r||_B = 7.346249e-12 + 37 KSP residual norm ||r||_B = 2.795121e-12 + 38 KSP residual norm ||r||_B = 1.084002e-12 +PCG solver converged in 38 iterations (avg. reduction factor: 5.359e-01) + Field energy H = 9.865e-15 J + +Completed 0 iterations of adaptive mesh refinement (AMR): + Indicator norm = 2.220e-01, global unknowns = 83356 + Max. iterations = 0, tol. = 1.000e-02 + +Estimated peak per-rank memory usage is: Min. 272.9M, Max. 272.9M, Avg. 272.9M, Total 272.9M +Estimated peak per-node memory usage is: Min. 272.9M, Max. 272.9M, Avg. 272.9M, Total 272.9M + +Elapsed Time Report (s) Min. Max. Avg. +============================================================== +Initialization 0.065 0.065 0.065 + Mesh Preprocessing 0.194 0.194 0.194 +Operator Construction 0.111 0.111 0.111 +Linear Solve 0.227 0.227 0.227 + Setup 0.496 0.496 0.496 + Preconditioner 1.877 1.877 1.877 + Coarse Solve 0.168 0.168 0.168 +Estimation 0.008 0.008 0.008 + Construction 0.358 0.358 0.358 + Solve 0.836 0.836 0.836 +Postprocessing 0.025 0.025 0.025 +Disk IO 0.105 0.105 0.105 +-------------------------------------------------------------- +Total 4.495 4.495 4.495 + +Peak Memory Per-Node Total Total HWM +============================================================== +Initialization 1.6M 1.6M 1.6M + Mesh Preprocessing 14.4M 14.4M 16.0M +Operator Construction 43.8M 43.8M 59.8M +Linear Solve 656.0K 656.0K 60.4M + Setup 53.8M 53.8M 114.2M + Preconditioner 4.1M 4.1M 118.4M + Coarse Solve 2.7M 2.7M 121.0M +Estimation 20.3M 20.3M 141.3M + Construction 61.8M 61.8M 203.1M + Solve 18.6M 18.6M 221.8M +Postprocessing 20.5M 20.5M 242.2M +Disk IO 13.1M 13.1M 255.3M +-------------------------------------------------------------- +Total 265.2M 265.2M 265.2M + diff --git a/examples/microstrip/run_sc.log b/examples/microstrip/run_sc.log new file mode 100644 index 0000000000000000000000000000000000000000..398214187e779af6b8f6c18179071c06b3b12727 GIT binary patch literal 3803 zcmds4TXW;Y5|yL0K!)Ry3?AqTqWgjSaFt>RgmTEees! z`&0$0vW+MTcfP|8g(+tf9}K8esnNDEs`h`ky7IjH^F_S&h;GMy~;LgZp!M zxub3;z&3NB|MB|_#3}xwU-_(K+F=4l?|%odJBp`=E%&ikV1N(&SQiGJPWRn2@Vu{7 zLuoFmjkL0%>&uw7BR`z`qv3eA7;ctA&X((R6b&l>Q?0jpT4Np>jYCV?uv6TL3er z%6ea_O4%G&t_AMG_F(U^!mNje3vHWZx)g|i4{icJZOv9Rt&yY+tQJ$$;oWVRI?+#% z-urK4?P>6Z7+DJRR|;XT*Rf2S$KLk-H=l zd$%x8QOJUvx^EiMz#549=L;ICvMn7_z>{Jl9SmVdJW->O_1?+TCmzem^zad49pPv` zKfn=|M>0e198m5(TZ~5s#5|hMj_^E+_Ha0vPC>gy^?61chKt$wa3&hfmq$2S9{5C) zaJq!tLk=9+({wR8oTuqBJn#WLUmW;^i)ijqCDkTRw0SQ3$cT_srxiXo?zv(2#`GxP zA0NTxA@oBYVWE;NmeUyoK8U&&-Ig+KtW6u#6QnmP_ZJs`<2#P&)%}Bg3x-IbFhot5(bs`} zdlC{3hAe65gb)<@CxZ8Db*YR>^WxpAM5x_p5oJ<1JMC;EOM<^aA}!Qu%S0M3-kU-v za9mqGRQj>vD))6ry_&Dkk13qZ=aT__dwD_u5k&)feRo2INSo=xqZ^n>u!Te?dWTZF zl|@V_AdTX*cLii4F)Kh5=L@<6C{QpBx2{{3I~ve;c!v|}y=_GXmdDx%^aRd1yIR>6 zjoKKMQLZ4}r1_33HOr+@r((z#;q*V=@^IknrtVs&1D^K-+QFLJl51%~6%uW-$8mHI zJNn3jUY|Z=o8G5duGjt>^@seX*Y6``P-Y4%p~rCe0-?4Q1@t?HAk%<3td33&lQlcn z?^b*4?H+l-Tve(#H+vH#Za7(tXls#*{f|8IeV^Omx~*K-jR}1{j<@K++I)5)Wp-UP zZ_v4fd4XQUQ&$|PK*#Z|uG<2_&IBN-8u`@p(4q!BG}s1--YNMmbv_xOC+T89nQoIp z_D|ZtOc*BKGxBw61Z!Ca7(iH=z?rVQq@UJxJRf^l|7W(Jhl@ps@L}6W|8Cn4KiKjx zs@}i+;s%A{QSjWj)fg!WrP(!^5eILo%d)LF$xt--{Kd^`b^qhd>sOZ;FA#ZYOuzhs z4jqPr@VCL}H(;-f(J00l;tXx<+nc+qxMR+R?j$o6Ehc0xNtGL#F?v0yq96=1&xdH= z`$@M*$sMLI_o{S5R$>@yo4RdiZFET*Q>Qr%-UxgN#u9N?+V-8_Qi7d|Y zxLW$&2eaz%L$dN}gB-^nwHywTPnha64AW?u`f$~QuiU?n+v`h|R5;Le@@XoUp-jXg zM%ECBbMTMse^5jJ=TAEbW+wmu literal 0 HcmV?d00001 diff --git a/examples/microstrip/run_sc1.log b/examples/microstrip/run_sc1.log new file mode 100644 index 00000000000..d3e7879b7d1 --- /dev/null +++ b/examples/microstrip/run_sc1.log @@ -0,0 +1,319 @@ +>> /opt/homebrew/bin/mpirun -n 1 /Users/dzpham/palace_ci/install/bin/palace-arm64.bin microstrip.json + +_____________ _______ +_____ __ \____ __ /____ ____________ +____ /_/ / __ ` / / __ ` / ___/ _ \ +___ _____/ /_/ / / /_/ / /__/ ___/ + /__/ \___,__/__/\___,__/\_____\_____/ + + +--> Warning! +Output folder is not empty; program will overwrite content! (postpro/superconductor) +Git changeset ID: v0.17.0-368-g9ae69fc02-dirty +Running with 1 MPI process +Device configuration: cpu +Memory configuration: host-std +libCEED backend: /cpu/self/opt/blocked + +Added 36 elements in 1 iterations of local bisection for under-resolved interior boundaries +Added 19 duplicate vertices for interior boundaries in the mesh +Added 58 duplicate boundary elements for interior boundaries in the mesh + +Characteristic length and time scales: + Lc = 5.000e-04 m, tc = 1.668e-03 ns +Finished partitioning mesh into 1 subdomain + +Mesh curvature order: 2 +Mesh bounding box: + (Xmin, Ymin, Zmin) = (-2.500e-04, -2.000e-04, -2.000e-04) m + (Xmax, Ymax, Zmax) = (+2.500e-04, +2.400e-04, +2.020e-04) m + +Parallel Mesh Stats: + + minimum average maximum total + vertices 2222 2222 2222 2222 + edges 14552 14552 14552 14552 + faces 24159 24159 24159 24159 + elements 11827 11827 11827 11827 + neighbors 0 0 0 + + minimum maximum + h 0.00141519 0.189567 + kappa 1.02062 255.441 + +Estimated current per-rank memory usage is: Min. 32.2M, Max. 32.2M, Avg. 32.2M, Total 32.2M +Estimated current per-node memory usage is: Min. 32.2M, Max. 32.2M, Avg. 32.2M, Total 32.2M + +Configuring surface current excitation source term at attributes: + 4: Index = 1, n = (+0.0,+0.0,+1.0) + +Configuring superconductor sheet BC at attributes: + 3: L_ksq = 2.011e-06 H/sq, n = (+0.1,-0.0,-1.0) + 4: L_ksq = 2.011e-06 H/sq, n = (+0.0,+0.0,+1.0) + +Configuring Dirichlet BC at attributes: + 2 + +Assembling system matrices, number of global unknowns: + H1 (p = 2): 16774, ND (p = 2): 77422, RT (p = 2): 107958 + Operator assembly level: Partial + Mesh geometries: + Tetrahedron: P = 20, Q = 14 (quadrature order = 4) + +Assembling multigrid hierarchy: + Level 0 (p = 1): 14552 unknowns + Level 1 (p = 2): 77422 unknowns + +Computing magnetostatic fields for 1 source boundary + +It 1/1: Current Index = 1 (elapsed time = 1.21e-05 s) + Residual norms for PCG solve + 0 KSP residual norm ||r||_B = 2.401472e-02 + 1 KSP residual norm ||r||_B = 4.304011e-02 + 2 KSP residual norm ||r||_B = 1.755205e-01 + 3 KSP residual norm ||r||_B = 8.175868e-01 + 4 KSP residual norm ||r||_B = 1.313791e+00 + 5 KSP residual norm ||r||_B = 1.511106e+00 + 6 KSP residual norm ||r||_B = 2.227276e+00 + 7 KSP residual norm ||r||_B = 2.742041e+00 + 8 KSP residual norm ||r||_B = 4.200476e+00 + 9 KSP residual norm ||r||_B = 3.531885e+00 + 10 KSP residual norm ||r||_B = 1.583581e+00 + 11 KSP residual norm ||r||_B = 4.841543e-01 + 12 KSP residual norm ||r||_B = 1.251408e-01 + 13 KSP residual norm ||r||_B = 2.693104e-02 + 14 KSP residual norm ||r||_B = 1.199480e-02 + 15 KSP residual norm ||r||_B = 2.122111e-02 + 16 KSP residual norm ||r||_B = 8.675412e-02 + 17 KSP residual norm ||r||_B = 4.165738e-01 + 18 KSP residual norm ||r||_B = 1.284775e+00 + 19 KSP residual norm ||r||_B = 2.168925e+00 + 20 KSP residual norm ||r||_B = 1.810777e+00 + 21 KSP residual norm ||r||_B = 6.923252e-01 + 22 KSP residual norm ||r||_B = 4.195000e-01 + 23 KSP residual norm ||r||_B = 1.699580e-01 + 24 KSP residual norm ||r||_B = 4.024450e-02 + 25 KSP residual norm ||r||_B = 1.108230e-02 + 26 KSP residual norm ||r||_B = 7.461805e-03 + 27 KSP residual norm ||r||_B = 1.645885e-02 + 28 KSP residual norm ||r||_B = 6.156832e-02 + 29 KSP residual norm ||r||_B = 2.544542e-01 + 30 KSP residual norm ||r||_B = 1.079040e+00 + 31 KSP residual norm ||r||_B = 1.625043e+00 + 32 KSP residual norm ||r||_B = 4.541625e-01 + 33 KSP residual norm ||r||_B = 9.247097e-02 + 34 KSP residual norm ||r||_B = 1.879624e-02 + 35 KSP residual norm ||r||_B = 5.554902e-03 + 36 KSP residual norm ||r||_B = 5.856978e-03 + 37 KSP residual norm ||r||_B = 2.141321e-02 + 38 KSP residual norm ||r||_B = 1.126518e-01 + 39 KSP residual norm ||r||_B = 5.468790e-01 + 40 KSP residual norm ||r||_B = 9.914217e-01 + 41 KSP residual norm ||r||_B = 5.712418e-01 + 42 KSP residual norm ||r||_B = 7.442935e-01 + 43 KSP residual norm ||r||_B = 7.639148e-01 + 44 KSP residual norm ||r||_B = 1.865925e-01 + 45 KSP residual norm ||r||_B = 3.489209e-02 + 46 KSP residual norm ||r||_B = 7.066377e-03 + 47 KSP residual norm ||r||_B = 3.715477e-03 + 48 KSP residual norm ||r||_B = 8.928133e-03 + 49 KSP residual norm ||r||_B = 2.799830e-02 + 50 KSP residual norm ||r||_B = 4.428018e-02 + 51 KSP residual norm ||r||_B = 1.297234e-01 + 52 KSP residual norm ||r||_B = 5.973766e-01 + 53 KSP residual norm ||r||_B = 1.005129e+00 + 54 KSP residual norm ||r||_B = 2.813116e-01 + 55 KSP residual norm ||r||_B = 5.775778e-02 + 56 KSP residual norm ||r||_B = 1.175471e-02 + 57 KSP residual norm ||r||_B = 3.451279e-03 + 58 KSP residual norm ||r||_B = 3.858584e-03 + 59 KSP residual norm ||r||_B = 1.550727e-02 + 60 KSP residual norm ||r||_B = 7.020322e-02 + 61 KSP residual norm ||r||_B = 1.482876e-01 + 62 KSP residual norm ||r||_B = 2.459161e-01 + 63 KSP residual norm ||r||_B = 6.690948e-01 + 64 KSP residual norm ||r||_B = 4.516929e-01 + 65 KSP residual norm ||r||_B = 1.005243e-01 + 66 KSP residual norm ||r||_B = 2.544248e-02 + 67 KSP residual norm ||r||_B = 9.426596e-03 + 68 KSP residual norm ||r||_B = 3.598129e-03 + 69 KSP residual norm ||r||_B = 3.094212e-03 + 70 KSP residual norm ||r||_B = 9.118984e-03 + 71 KSP residual norm ||r||_B = 3.812129e-02 + 72 KSP residual norm ||r||_B = 1.380094e-01 + 73 KSP residual norm ||r||_B = 3.485648e-01 + 74 KSP residual norm ||r||_B = 5.466763e-01 + 75 KSP residual norm ||r||_B = 3.190254e-01 + 76 KSP residual norm ||r||_B = 2.166463e-01 + 77 KSP residual norm ||r||_B = 2.854152e-01 + 78 KSP residual norm ||r||_B = 1.201151e-01 + 79 KSP residual norm ||r||_B = 2.373404e-02 + 80 KSP residual norm ||r||_B = 4.554564e-03 + 81 KSP residual norm ||r||_B = 1.985302e-03 + 82 KSP residual norm ||r||_B = 4.122451e-03 + 83 KSP residual norm ||r||_B = 2.094271e-02 + 84 KSP residual norm ||r||_B = 1.171604e-01 + 85 KSP residual norm ||r||_B = 5.122652e-01 + 86 KSP residual norm ||r||_B = 3.701576e-01 + 87 KSP residual norm ||r||_B = 7.399435e-02 + 88 KSP residual norm ||r||_B = 1.414748e-02 + 89 KSP residual norm ||r||_B = 4.011959e-03 + 90 KSP residual norm ||r||_B = 2.912695e-03 + 91 KSP residual norm ||r||_B = 2.324091e-03 + 92 KSP residual norm ||r||_B = 3.067932e-03 + 93 KSP residual norm ||r||_B = 1.197296e-02 + 94 KSP residual norm ||r||_B = 6.194377e-02 + 95 KSP residual norm ||r||_B = 3.129447e-01 + 96 KSP residual norm ||r||_B = 4.541057e-01 + 97 KSP residual norm ||r||_B = 1.073044e-01 + 98 KSP residual norm ||r||_B = 2.126728e-02 + 99 KSP residual norm ||r||_B = 5.271818e-03 +100 KSP residual norm ||r||_B = 2.177415e-03 +101 KSP residual norm ||r||_B = 1.996390e-03 +102 KSP residual norm ||r||_B = 3.571883e-03 +103 KSP residual norm ||r||_B = 5.511624e-03 +104 KSP residual norm ||r||_B = 1.300492e-02 +105 KSP residual norm ||r||_B = 5.931279e-02 +106 KSP residual norm ||r||_B = 2.641415e-01 +107 KSP residual norm ||r||_B = 2.833656e-01 +108 KSP residual norm ||r||_B = 1.581402e-01 +109 KSP residual norm ||r||_B = 2.462256e-01 +110 KSP residual norm ||r||_B = 1.261299e-01 +111 KSP residual norm ||r||_B = 2.390980e-02 +112 KSP residual norm ||r||_B = 4.431022e-03 +113 KSP residual norm ||r||_B = 1.437057e-03 +114 KSP residual norm ||r||_B = 2.097640e-03 +115 KSP residual norm ||r||_B = 9.503113e-03 +116 KSP residual norm ||r||_B = 5.063069e-02 +117 KSP residual norm ||r||_B = 2.316638e-01 +118 KSP residual norm ||r||_B = 3.837728e-01 +119 KSP residual norm ||r||_B = 2.342379e-01 +120 KSP residual norm ||r||_B = 8.476565e-02 +121 KSP residual norm ||r||_B = 1.877813e-02 +122 KSP residual norm ||r||_B = 3.895478e-03 +123 KSP residual norm ||r||_B = 1.413352e-03 +124 KSP residual norm ||r||_B = 1.744327e-03 +125 KSP residual norm ||r||_B = 4.424207e-03 +126 KSP residual norm ||r||_B = 1.305280e-02 +127 KSP residual norm ||r||_B = 4.906901e-02 +128 KSP residual norm ||r||_B = 1.928245e-01 +129 KSP residual norm ||r||_B = 3.663169e-01 +130 KSP residual norm ||r||_B = 1.315097e-01 +131 KSP residual norm ||r||_B = 3.568859e-02 +132 KSP residual norm ||r||_B = 1.892680e-02 +133 KSP residual norm ||r||_B = 8.929104e-03 +134 KSP residual norm ||r||_B = 2.193631e-03 +135 KSP residual norm ||r||_B = 1.161580e-03 +136 KSP residual norm ||r||_B = 2.630173e-03 +137 KSP residual norm ||r||_B = 1.297810e-02 +138 KSP residual norm ||r||_B = 6.570150e-02 +139 KSP residual norm ||r||_B = 1.233670e-01 +140 KSP residual norm ||r||_B = 9.111913e-02 +141 KSP residual norm ||r||_B = 1.993637e-01 +142 KSP residual norm ||r||_B = 2.582198e-01 +143 KSP residual norm ||r||_B = 6.514966e-02 +144 KSP residual norm ||r||_B = 2.263980e-02 +145 KSP residual norm ||r||_B = 1.507676e-02 +146 KSP residual norm ||r||_B = 4.785365e-03 +147 KSP residual norm ||r||_B = 1.245017e-03 +148 KSP residual norm ||r||_B = 1.179259e-03 +149 KSP residual norm ||r||_B = 4.445499e-03 +150 KSP residual norm ||r||_B = 2.352236e-02 +151 KSP residual norm ||r||_B = 1.227566e-01 +152 KSP residual norm ||r||_B = 3.284046e-01 +153 KSP residual norm ||r||_B = 1.108098e-01 +154 KSP residual norm ||r||_B = 2.069788e-02 +155 KSP residual norm ||r||_B = 3.747859e-03 +156 KSP residual norm ||r||_B = 9.615709e-04 +157 KSP residual norm ||r||_B = 9.669137e-04 +158 KSP residual norm ||r||_B = 3.821197e-03 +159 KSP residual norm ||r||_B = 2.075603e-02 +160 KSP residual norm ||r||_B = 1.111370e-01 +161 KSP residual norm ||r||_B = 2.692315e-01 +162 KSP residual norm ||r||_B = 8.393685e-02 +163 KSP residual norm ||r||_B = 1.731823e-02 +164 KSP residual norm ||r||_B = 5.306176e-03 +165 KSP residual norm ||r||_B = 2.157370e-03 +166 KSP residual norm ||r||_B = 8.150805e-04 +167 KSP residual norm ||r||_B = 1.000124e-03 +168 KSP residual norm ||r||_B = 4.060428e-03 +169 KSP residual norm ||r||_B = 1.135678e-02 +170 KSP residual norm ||r||_B = 1.112548e-02 +171 KSP residual norm ||r||_B = 1.625896e-02 +172 KSP residual norm ||r||_B = 3.010359e-02 +173 KSP residual norm ||r||_B = 4.618234e-02 +174 KSP residual norm ||r||_B = 1.182907e-01 +175 KSP residual norm ||r||_B = 2.176373e-01 +176 KSP residual norm ||r||_B = 7.837363e-02 +177 KSP residual norm ||r||_B = 1.925737e-02 +178 KSP residual norm ||r||_B = 5.021179e-03 +179 KSP residual norm ||r||_B = 1.331637e-03 +180 KSP residual norm ||r||_B = 6.168697e-04 +181 KSP residual norm ||r||_B = 1.111611e-03 +182 KSP residual norm ||r||_B = 4.161958e-03 +183 KSP residual norm ||r||_B = 1.129655e-02 +184 KSP residual norm ||r||_B = 2.918483e-02 +185 KSP residual norm ||r||_B = 6.296075e-02 +186 KSP residual norm ||r||_B = 1.010355e-01 +187 KSP residual norm ||r||_B = 1.786484e-01 +188 KSP residual norm ||r||_B = 7.314541e-02 +189 KSP residual norm ||r||_B = 1.438415e-02 +190 KSP residual norm ||r||_B = 2.652340e-03 +191 KSP residual norm ||r||_B = 6.316412e-04 +192 KSP residual norm ||r||_B = 5.772249e-04 +193 KSP residual norm ||r||_B = 2.258209e-03 +194 KSP residual norm ||r||_B = 1.286811e-02 +195 KSP residual norm ||r||_B = 7.114324e-02 +196 KSP residual norm ||r||_B = 1.644469e-01 +197 KSP residual norm ||r||_B = 4.722353e-02 +198 KSP residual norm ||r||_B = 8.939107e-03 +199 KSP residual norm ||r||_B = 1.769063e-03 +200 KSP residual norm ||r||_B = 5.201579e-04 +PCG solver did NOT converge in 200 iterations (avg. reduction factor: 9.810e-01) + +--> Warning! +Linear solver did not converge, norm(Ax-b)/norm(b) = 2.166e-02 (norm(b) = 2.401e-02)! + + Field energy H = 2.614e-10 J + +Completed 0 iterations of adaptive mesh refinement (AMR): + Indicator norm = 5.040e-05, global unknowns = 77422 + Max. iterations = 0, tol. = 1.000e-02 + +Estimated peak per-rank memory usage is: Min. 265.6M, Max. 265.6M, Avg. 265.6M, Total 265.6M +Estimated peak per-node memory usage is: Min. 265.6M, Max. 265.6M, Avg. 265.6M, Total 265.6M + +Elapsed Time Report (s) Min. Max. Avg. +============================================================== +Initialization 0.061 0.061 0.061 + Mesh Preprocessing 0.241 0.241 0.241 +Operator Construction 0.101 0.101 0.101 +Linear Solve 1.235 1.235 1.235 + Setup 0.764 0.764 0.764 + Preconditioner 10.004 10.004 10.004 + Coarse Solve 0.688 0.688 0.688 +Estimation 0.009 0.009 0.009 + Construction 0.354 0.354 0.354 + Solve 0.850 0.850 0.850 +Postprocessing 0.026 0.026 0.026 +Disk IO 0.106 0.106 0.106 +-------------------------------------------------------------- +Total 14.457 14.457 14.457 + +Peak Memory Per-Node Total Total HWM +============================================================== +Initialization 1.6M 1.6M 1.6M + Mesh Preprocessing 13.6M 13.6M 15.2M +Operator Construction 42.4M 42.4M 57.6M +Linear Solve 16.0K 16.0K 57.6M + Setup 52.2M 52.2M 109.9M + Preconditioner 5.8M 5.8M 115.7M + Coarse Solve 4.2M 4.2M 120.0M +Estimation 19.8M 19.8M 139.7M + Construction 56.1M 56.1M 195.8M + Solve 18.2M 18.2M 214.0M +Postprocessing 21.0M 21.0M 235.0M +Disk IO 12.9M 12.9M 247.9M +-------------------------------------------------------------- +Total 257.9M 257.9M 257.9M + From 2f38a6669c1b7bb318e1f7409a193ec10de753a3 Mon Sep 17 00:00:00 2001 From: Dzung Pham Date: Wed, 2 Sep 2026 13:26:20 -0700 Subject: [PATCH 06/27] Add LondonPCShift option and London-aware AMSSingularOperator default --- palace/utils/configfile.cpp | 1 + palace/utils/configfile.hpp | 9 +++++++++ palace/utils/iodata.cpp | 31 +++++++++++++++++++++++++++++- palace/utils/iodata_concretize.cpp | 1 + scripts/schema/config-schema.json | 6 ++++++ 5 files changed, 47 insertions(+), 1 deletion(-) diff --git a/palace/utils/configfile.cpp b/palace/utils/configfile.cpp index 5231389aec4..1eeea7d01a9 100644 --- a/palace/utils/configfile.cpp +++ b/palace/utils/configfile.cpp @@ -1475,6 +1475,7 @@ LinearSolverData::LinearSolverData(const json &linear) superlu_3d = linear.value("SuperLU3DCommunicator", superlu_3d); ams_vector_interp = linear.value("AMSVectorInterpolation", ams_vector_interp); ams_singular_op = linear.value("AMSSingularOperator", ams_singular_op); + london_pc_shift = linear.value("LondonPCShift", london_pc_shift); amg_agg_coarsen = linear.value("AMGAggressiveCoarsening", amg_agg_coarsen); ams_max_it = linear.value("AMSMaxIts", ams_max_it); diff --git a/palace/utils/configfile.hpp b/palace/utils/configfile.hpp index e8031bd1ecc..b27ec59aa61 100644 --- a/palace/utils/configfile.hpp +++ b/palace/utils/configfile.hpp @@ -1133,6 +1133,15 @@ struct LinearSolverData // problems. int ams_singular_op = -1; + // Preconditioner-only gauge shift for the London (superconductor sheet) magnetostatic + // operator. When a London flux film is present the shifted-penalty operator K̃ = A_curlcurl + // + (1/L_ksq) M_sheet has a residual 1-D gradient null space (film-constant potential), + // which stalls/diverges AMS in parallel. This adds london_pc_shift · (1/µ) ∫|A|² as a + // volume mass to the PRECONDITIONER matrix ONLY (the actual operator, solution and + // extracted inductance are unchanged), lifting all gradient modes so AMS is SPD-solvable. + // Applied only when a London sheet term is present; ignored otherwise. + double london_pc_shift = 1.0e-2; + // Option to use aggressive coarsening for Hypre AMG solves (with BoomerAMG or AMS). // Typically use this when the operator is positive definite. int amg_agg_coarsen = -1; diff --git a/palace/utils/iodata.cpp b/palace/utils/iodata.cpp index d36a4544dfc..5109c347575 100644 --- a/palace/utils/iodata.cpp +++ b/palace/utils/iodata.cpp @@ -581,7 +581,36 @@ void IoData::CheckConfiguration() } if (solver.linear.ams_singular_op < 0) { - solver.linear.ams_singular_op = (problem.type == ProblemType::MAGNETOSTATIC); + // A London flux film (a FluxLoopPEC boundary that is also a Superconductor sheet) leaves + // the film interior free, so the shifted-penalty operator K̃ = A_curlcurl + (1/L_ksq) + // M_sheet keeps a residual 1-D gradient null space and is NOT the pure singular curl-curl + // operator: singular-AMS (which skips gradient G-space corrections) then stalls/diverges + // in parallel. For that case default AMSSingularOperator=false so AMS does the G-space + // corrections, which are well-posed against the preconditioner gauge shift (LondonPCShift). + bool has_london_film = false; + if (problem.type == ProblemType::MAGNETOSTATIC) + { + std::set sc_attrs; + for (const auto &sc : boundaries.superconductor) + { + for (auto attr : sc.attributes) + { + sc_attrs.insert(attr); + } + } + for (const auto &[idx, fl] : boundaries.fluxloop) + { + for (auto attr : fl.fluxloop_pec) + { + if (sc_attrs.count(attr)) + { + has_london_film = true; + } + } + } + } + solver.linear.ams_singular_op = + (problem.type == ProblemType::MAGNETOSTATIC && !has_london_film); } if (solver.linear.amg_agg_coarsen < 0) { diff --git a/palace/utils/iodata_concretize.cpp b/palace/utils/iodata_concretize.cpp index 0324a1ed3cd..5b74d3c87dd 100644 --- a/palace/utils/iodata_concretize.cpp +++ b/palace/utils/iodata_concretize.cpp @@ -92,6 +92,7 @@ void ConcretizeLinear(const config::LinearSolverData &linear, json &j_linear) {"SuperLU3DCommunicator", linear.superlu_3d}, {"AMSVectorInterpolation", linear.ams_vector_interp}, {"AMSSingularOperator", static_cast(linear.ams_singular_op)}, + {"LondonPCShift", linear.london_pc_shift}, {"AMGAggressiveCoarsening", static_cast(linear.amg_agg_coarsen)}, {"AMSMaxIts", linear.ams_max_it}, {"DivFreeTol", linear.divfree_tol}, diff --git a/scripts/schema/config-schema.json b/scripts/schema/config-schema.json index c15e2cd259a..22f4b9b3fc3 100644 --- a/scripts/schema/config-schema.json +++ b/scripts/schema/config-schema.json @@ -3052,6 +3052,12 @@ "description": "Indicate to AMS that the operator is singular (e.g. magnetostatics with no essential boundary conditions). If omitted, Palace enables this for magnetostatic simulations and disables it otherwise.", "x-palace-advanced": true }, + "LondonPCShift": { + "type": "number", + "description": "Preconditioner-only gauge shift for magnetostatic problems with a London (superconductor) sheet term. Adds this multiple of the reluctance-weighted volume mass to the preconditioner matrix only (leaving the operator, solution, and extracted inductance unchanged) to lift the residual gradient null space so AMS is SPD-solvable in parallel. Ignored when no London sheet term is present.", + "default": 0.01, + "x-palace-advanced": true + }, "AMGAggressiveCoarsening": { "type": "boolean", "description": "Enable aggressive coarsening in BoomerAMG. If omitted, Palace enables this for electrostatic, magnetostatic, and transient simulations, and disables it otherwise.", From ca7b1d5328db0b001cc8aa5e055542afdd939dc9 Mon Sep 17 00:00:00 2001 From: Dzung Pham Date: Wed, 2 Sep 2026 13:26:53 -0700 Subject: [PATCH 07/27] Add curl-free cut cohomology generator for London flux drive --- palace/models/surfacecurlsolver.cpp | 154 +++++++++++++++++++++++++- palace/models/surfacecurlsolver.hpp | 10 +- palace/models/surfacefluxoperator.cpp | 5 +- palace/models/surfacefluxoperator.hpp | 3 +- 4 files changed, 162 insertions(+), 10 deletions(-) diff --git a/palace/models/surfacecurlsolver.cpp b/palace/models/surfacecurlsolver.cpp index ab50104ff82..b47308706df 100644 --- a/palace/models/surfacecurlsolver.cpp +++ b/palace/models/surfacecurlsolver.cpp @@ -5,6 +5,8 @@ #include "surfacefluxoperator.hpp" #include +#include +#include #include #include "fem/bilinearform.hpp" #include "fem/coefficient.hpp" @@ -24,14 +26,146 @@ namespace palace { +namespace +{ + +// Build the London drive a_h as a 3D curl-free cohomology generator carrying the hole +// fluxoid ∮_∂hole a_h·dl = Φ: a_h = ∇θ with θ jumping by Φ across a cut half-plane S +// bounded by the vertical flux line L = {x=cx, y=cy, all z} through the hole centroid. It +// is assembled as a lowest-order (Whitney) edge cochain (edge DOF = ±Φ across S, 0 +// otherwise) then projected exactly into the order-p ND space (ND_1 ⊂ ND_p). curl a_h is +// supported only on faces pierced by L, which threads the hole opening off the film Σ, so +// a_h|Σ is curl-free with circulation Φ. Its gradient part is absorbable by A → A + ∇χ, so +// the extracted inductance depends only on the cohomology class (Φ) and is gauge-invariant. +// +// PALACE_CUT_DIR selects the cut orientation (default "y": S = {x=cx, y≥cy}; "x": the +// gauge-equivalent S = {y=cy, x≥cx}) for the gauge-invariance gate. Overall sign is +// irrelevant: the downstream London normalization rescales a_h so cᵀa_h = Φ. +Vector BuildCutCohomologyGenerator(const SurfaceFluxData &flux_data, + const mfem::ParFiniteElementSpace &ndp_fespace, + const Mesh &mesh) +{ + auto &pmesh = const_cast(mesh.Get()); + MPI_Comm comm = pmesh.GetComm(); + const int sdim = pmesh.SpaceDimension(); + MFEM_VERIFY(sdim == 3, "London cut cohomology generator requires a 3D mesh!"); + + // Total imposed fluxoid Φ. + double phi = 0.0; + for (double f : flux_data.flux_amounts) + { + phi += f; + } + + // Hole centroid (cx, cy): average of hole-boundary vertex coordinates. The vertical flux + // line L = {x=cx, y=cy, all z} passes through the hole opening (empty region), never the + // film. + std::unordered_set hole_attrs(flux_data.hole_attributes.begin(), + flux_data.hole_attributes.end()); + double csum[3] = {0.0, 0.0, 0.0}; + double cnt = 0.0; + mfem::Array bverts; + for (int be = 0; be < pmesh.GetNBE(); be++) + { + if (!hole_attrs.count(pmesh.GetBdrAttribute(be))) + { + continue; + } + pmesh.GetBdrElementVertices(be, bverts); + for (int v : bverts) + { + const double *x = pmesh.GetVertex(v); + csum[0] += x[0]; + csum[1] += x[1]; + csum[2] += x[2]; + cnt += 1.0; + } + } + Mpi::GlobalSum(3, csum, comm); + Mpi::GlobalSum(1, &cnt, comm); + MFEM_VERIFY(cnt > 0.0, "No hole boundary elements found for London cut generator!"); + const double cx = csum[0] / cnt, cy = csum[1] / cnt; + + // Cut half-plane orientation (see function comment). Default S = {x=cx, y≥cy}; + // PALACE_CUT_DIR=x selects the gauge-equivalent S = {y=cy, x≥cx} sharing the same flux + // line L. + const char *cut_env = std::getenv("PALACE_CUT_DIR"); + const bool cut_x = (cut_env && (cut_env[0] == 'x' || cut_env[0] == 'X')); + + // Lowest-order (Whitney) cut cochain on an ND_1 space over the full 3D mesh. Each rank + // sets its local edge DOFs from vertex COORDINATES (identical on all ranks for a shared + // edge) in the canonical GetEdgeVertices orientation (ev0→ev1), so the owner's true-DOF + // value is correct and GetTrueDofs needs no cross-rank sign reconciliation. + mfem::ND_FECollection nd1_fec(1, sdim); + mfem::ParFiniteElementSpace nd1_fespace(&pmesh, &nd1_fec); + mfem::ParGridFunction ah1(&nd1_fespace); + ah1.UseDevice(false); + ah1 = 0.0; + mfem::Array ev, edofs; + for (int e = 0; e < pmesh.GetNEdges(); e++) + { + pmesh.GetEdgeVertices(e, ev); + const double *x0 = pmesh.GetVertex(ev[0]); + const double *x1 = pmesh.GetVertex(ev[1]); + // d = signed distance to the cut PLANE; s = the in-plane half-plane selector + // coordinate. + double d0, d1, s0, s1; + if (!cut_x) + { + d0 = x0[0] - cx; // plane x=cx + d1 = x1[0] - cx; + s0 = x0[1]; // half-plane y≥cy + s1 = x1[1]; + } + else + { + d0 = x0[1] - cy; // plane y=cy + d1 = x1[1] - cy; + s0 = x0[0]; // half-plane x≥cx + s1 = x1[0]; + } + if (d0 * d1 >= 0.0) + { + continue; // edge does not cross the cut plane + } + const double t = d0 / (d0 - d1); + const double scoord = s0 + t * (s1 - s0); + if ((!cut_x && scoord < cy) || (cut_x && scoord < cx)) + { + continue; // crossing point lies off the half-plane + } + // Edge ev0→ev1 crosses the cut: θ jumps +Φ toward the +normal (d1>0) side of the plane. + nd1_fespace.GetEdgeDofs(e, edofs); + ah1(edofs[0]) = (d1 > 0.0) ? phi : -phi; + } + + // Project the ND_1 cut field exactly into the order-p ND space. The per-element field is + // a degree-1 polynomial, integrated exactly by the ND_p DOF functionals, so ND_1 ⊂ ND_p + // is reproduced and tangential continuity (hence curl-free-on-Σ, circulation Φ) is + // preserved. + mfem::VectorGridFunctionCoefficient ah1_coeff(&ah1); + mfem::ParGridFunction ahp(const_cast(&ndp_fespace)); + ahp.UseDevice(false); + ahp = 0.0; + ahp.ProjectCoefficient(ah1_coeff); + + Vector result(ndp_fespace.GetTrueVSize()); + result.UseDevice(true); + ahp.GetTrueDofs(result); + return result; +} + +} // namespace + Vector SolveSurfaceCurlProblem(const SurfaceFluxData &flux_data, const IoData &iodata, const Mesh &mesh, const FiniteElementSpace &nd_fespace, int flux_loop_idx, - PostOperator &post_op) + PostOperator &post_op, + bool harmonic_generator) { Vector result; SolveSurfaceCurlProblem(flux_data, iodata, mesh, nd_fespace, flux_loop_idx, post_op, - result); + result, harmonic_generator); return result; } @@ -39,14 +173,26 @@ void SolveSurfaceCurlProblem(const SurfaceFluxData &flux_data, const IoData &iod const Mesh &mesh, const FiniteElementSpace &nd_fespace, int flux_loop_idx, PostOperator &post_op, - Vector &result) + Vector &result, bool harmonic_generator) { const mfem::ParFiniteElementSpace *fespace = &nd_fespace.Get(); int order = iodata.solver.order; - MPI_Comm comm = mesh.GetComm(); const auto &pmesh = mesh.Get(); + // London drive: build a_h directly on the 3D ND space as a curl-free cohomology generator + // via a topological cut cochain (gauge-invariant; see BuildCutCohomologyGenerator). No + // submesh needed. + if (harmonic_generator) + { + result = BuildCutCohomologyGenerator(flux_data, *fespace, mesh); + // Populate the post_op A buffer for consistency with the pure-PEC path (used only as + // scratch). + auto &A_3d = post_op.GetAGridFunction().Real(); + A_3d.SetFromTrueDofs(result); + return; + } + // Extract metal surface and hole attributes from flux_data mfem::Array metal_surface_attrs; for (int metal_attr : flux_data.fluxloop_pec) diff --git a/palace/models/surfacecurlsolver.hpp b/palace/models/surfacecurlsolver.hpp index c51a8870bdb..a31009c2b2c 100644 --- a/palace/models/surfacecurlsolver.hpp +++ b/palace/models/surfacecurlsolver.hpp @@ -23,17 +23,21 @@ class CurlCurlOperator; template class PostOperator; -// Solve 2D surface curl problem for flux loop initial condition +// Solve 2D surface curl problem for flux loop initial condition. When harmonic_generator is +// true, instead of the uniform-perimeter Dirichlet clamp, produce the curl-free cut +// cohomology generator (±Φ across a cut through the hole centroid) used as the London +// shifted-penalty drive a_h. Vector SolveSurfaceCurlProblem(const SurfaceFluxData &flux_data, const IoData &iodata, const Mesh &mesh, const FiniteElementSpace &nd_fespace, int flux_loop_idx, - PostOperator &post_op); + PostOperator &post_op, + bool harmonic_generator = false); void SolveSurfaceCurlProblem(const SurfaceFluxData &flux_data, const IoData &iodata, const Mesh &mesh, const FiniteElementSpace &nd_fespace, int flux_loop_idx, PostOperator &post_op, - Vector &result); + Vector &result, bool harmonic_generator = false); // Integrate the magnetic flux density B ⋅ n over the given boundary attributes, with the // surface normal oriented according to flux_direction. Returns the global (summed) flux. diff --git a/palace/models/surfacefluxoperator.cpp b/palace/models/surfacefluxoperator.cpp index 3dcc43b5660..9a2ea22144c 100644 --- a/palace/models/surfacefluxoperator.cpp +++ b/palace/models/surfacefluxoperator.cpp @@ -69,11 +69,12 @@ palace::Vector SurfaceFluxOperator::SolveSurfaceCurlProblem( void SurfaceFluxOperator::SolveSurfaceCurlProblem( int idx, const Mesh &mesh, const FiniteElementSpace &nd_fespace, - PostOperator &post_op, Vector &result) const + PostOperator &post_op, Vector &result, + bool harmonic_generator) const { const auto &data = GetSource(idx); palace::SolveSurfaceCurlProblem(data, *solver_config_, mesh, nd_fespace, idx, post_op, - result); + result, harmonic_generator); } } // namespace palace diff --git a/palace/models/surfacefluxoperator.hpp b/palace/models/surfacefluxoperator.hpp index 8dfeb8b8379..bfd5400c3d0 100644 --- a/palace/models/surfacefluxoperator.hpp +++ b/palace/models/surfacefluxoperator.hpp @@ -64,7 +64,8 @@ class SurfaceFluxOperator void SolveSurfaceCurlProblem(int idx, const Mesh &mesh, const FiniteElementSpace &nd_fespace, PostOperator &post_op, - palace::Vector &result) const; + palace::Vector &result, + bool harmonic_generator = false) const; }; } // namespace palace From e7a1bb13d34f1318d906cdb6c93913896b005a51 Mon Sep 17 00:00:00 2001 From: Dzung Pham Date: Wed, 2 Sep 2026 13:26:53 -0700 Subject: [PATCH 08/27] Solve London flux films via range-space two-solve with fluxoid constraint --- palace/models/curlcurloperator.cpp | 240 ++++++++++++++++++++++++++--- palace/models/curlcurloperator.hpp | 72 ++++++++- 2 files changed, 286 insertions(+), 26 deletions(-) diff --git a/palace/models/curlcurloperator.cpp b/palace/models/curlcurloperator.cpp index 0e6ffa64ccf..6e26f7b45ed 100644 --- a/palace/models/curlcurloperator.cpp +++ b/palace/models/curlcurloperator.cpp @@ -3,6 +3,7 @@ #include "curlcurloperator.hpp" +#include #include #include "fem/bilinearform.hpp" #include "fem/coefficient.hpp" @@ -25,7 +26,8 @@ CurlCurlOperator::CurlCurlOperator(const config::BoundaryData &boundaries, ProblemType problem_type, const Units &units, const std::vector> &mesh) : print_hdr(true), - dbc_attr(SetUpBoundaryProperties(boundaries.pec, boundaries.fluxloop, *mesh.back())), + dbc_attr(SetUpBoundaryProperties(boundaries.pec, boundaries.fluxloop, + boundaries.superconductor, *mesh.back())), nd_fecs(fem::ConstructFECollections( solver.order, mesh.back()->Dimension(), solver.linear.mg_max_levels, solver.linear.mg_coarsening, false)), @@ -42,7 +44,8 @@ CurlCurlOperator::CurlCurlOperator(const config::BoundaryData &boundaries, mat_op(materials, boundaries.periodic, problem_type, *mesh.back()), surf_j_op(boundaries.current, *mesh.back()), sc_sheet_op(boundaries.superconductor, boundaries.cracked_attributes, units, mat_op, - *mesh.back()) + *mesh.back()), + london_pc_shift_(solver.linear.london_pc_shift) { // In 2D, curl maps H(curl) → L2 (scalar), so add an L2 space for B = curl A. if (mesh.back()->Dimension() == 2) @@ -70,10 +73,30 @@ CurlCurlOperator::CurlCurlOperator(const IoData &iodata, iodata.problem.type, iodata.units, mesh) { surf_flux_op = SurfaceFluxOperator(iodata); + + // Identify London flux films (FluxLoopPEC ∩ Superconductor). For these the whole film is + // a free unknown governed by the sheet term; the flux excitation uses the shifted London + // penalty (RHS = M_sheet·a_h in GetFluxExcitationVector), not the whole-film PEC clamp. + for (const auto &[idx, data] : surf_flux_op) + { + for (int attr : data.fluxloop_pec) + { + if (london_flux_film_attr_.count(attr)) + { + london_flux_loops_.insert(idx); + break; + } + } + } + + // Build the fluxoid circulation functional c for each London flux loop (needs + // surf_flux_op, set above, and the discrete curl matrix). + SetUpLondonFluxConstraints(); } mfem::Array CurlCurlOperator::SetUpBoundaryProperties( const config::PecBoundaryData &pec, const std::map &fluxloop, + const std::vector &superconductor, const mfem::ParMesh &mesh) { // Check that boundary attributes have been specified correctly. @@ -114,7 +137,20 @@ mfem::Array CurlCurlOperator::SetUpBoundaryProperties( } dbc_bcs.Append(attr); } - // Add flux loop boundary attributes as essential boundaries. + // Superconductor-sheet attributes (finite-λ films). A FluxLoopPEC film that is also a + // superconductor sheet is a "London flux film": its whole surface is a free unknown + // governed by the sheet term, so it is NOT marked essential here. Its hole fluxoid is an + // integral constraint enforced by the range-space two-solve. + std::set sc_attrs; + for (const auto &data : superconductor) + { + for (auto attr : data.attributes) + { + sc_attrs.insert(attr); + } + } + + // Add flux loop boundary attributes as essential boundaries, except London flux films. std::set flux_attrs; for (const auto &[idx, data] : fluxloop) { @@ -123,7 +159,15 @@ mfem::Array CurlCurlOperator::SetUpBoundaryProperties( MFEM_VERIFY(attr > 0 && attr <= bdr_attr_max && bdr_attr_marker[attr - 1], "Unknown FluxLoopPEC boundary attribute " << attr << " for FluxLoop index " << idx << "!"); - flux_attrs.insert(attr); + if (sc_attrs.count(attr)) + { + // London flux film: keep the interior free (sheet term), do not clamp Dirichlet. + london_flux_film_attr_.insert(attr); + } + else + { + flux_attrs.insert(attr); + } } for (auto attr : data.hole_attributes) { @@ -139,6 +183,66 @@ mfem::Array CurlCurlOperator::SetUpBoundaryProperties( return dbc_bcs; } +void CurlCurlOperator::SetUpLondonFluxConstraints() +{ + if (london_flux_loops_.empty()) + { + return; + } + // The fluxoid circulation functional requires B = curl A in an H(div) (RT) space so that + // ∫_hole B·n is a well-defined face functional. In 2D curl maps to a scalar L2 space and + // this construction does not apply. + MFEM_VERIFY(!l2_curl_fespace, + "London flux films (FluxLoopPEC ∩ Superconductor) require a 3D mesh!"); + + const auto &pmesh = static_cast(GetMesh()); + const Operator &curl = GetCurlMatrix(); + auto &curl_fespace = GetCurlSpace(); + for (int idx : london_flux_loops_) + { + const auto &data = surf_flux_op.GetSource(idx); + + // One generator, one α, one uniform hole functional c ⇒ a single scalar fluxoid per + // loop. A loop listing several holes can only pin their sum, so model each hole as its + // own loop. + MFEM_VERIFY( + data.hole_attributes.size() == 1, + "FluxLoop index " + << idx << " lists " << data.hole_attributes.size() + << " holes, but the cut-cohomology two-solve supports exactly one hole per " + "flux loop. Model each hole as a separate FluxLoop excitation."); + + // Fluxoid functional c = Curlᵀ·f, where f is the hole-cap flux functional on the RT + // (curl) space: f·B = ∫_hole B·n (assembled via VectorFEBoundaryFluxLFIntegrator over + // the hole attributes). Then cᵀA = fᵀ(Curl A) = ∫_hole (curl A)·n = ∮_∂hole A·dl + // (Stokes), exact for any ND order. We zero c on the PEC essential set so the + // fluxoid-mode solve A_h = K⁻¹c has A_h = 0 there under DIAG_ONE elimination. + mfem::Array hole_attr(const_cast(data.hole_attributes.data()), + static_cast(data.hole_attributes.size())); + auto hole_marker = mesh::BdrAttrToMarker(pmesh, hole_attr, true); + + mfem::ConstantCoefficient one(1.0); + mfem::LinearForm lf(&curl_fespace.Get()); + lf.AddBoundaryIntegrator(new mfem::VectorFEBoundaryFluxLFIntegrator(one), hole_marker); + lf.UseFastAssembly(false); + lf.UseDevice(false); + lf.Assemble(); + lf.UseDevice(true); + + Vector f(curl_fespace.GetTrueVSize()); + f.UseDevice(true); + f = 0.0; + curl_fespace.GetProlongationMatrix()->AddMultTranspose(lf, f); + + Vector c(GetNDSpace().GetTrueVSize()); + c.UseDevice(true); + c = 0.0; + curl.MultTranspose(f, c); + linalg::SetSubVector(c, dbc_tdof_lists.back(), 0.0); + london_flux_constraint_[idx] = std::move(c); + } +} + void CurlCurlOperator::CheckBoundaryProperties() { // A final check that no boundary attribute is assigned multiple boundary conditions. @@ -242,6 +346,46 @@ std::unique_ptr CurlCurlOperator::GetStiffnessMatrix() return K; } +std::unique_ptr CurlCurlOperator::GetPreconditionerMatrix() +{ + // Preconditioner-only gauge shift for the London magnetostatic path. Without a London + // flux film (or with a non-positive shift) there is no residual gradient null to lift, so + // we return nullptr and the caller preconditions with the stiffness matrix itself. + if (london_flux_loops_.empty() || !(london_pc_shift_ > 0.0)) + { + return nullptr; + } + + // Assemble K̃_pc = A_curlcurl + (1/L_ksq) M_sheet + london_pc_shift_ · (1/µ) ∫|A|². The + // first two terms match GetStiffnessMatrix (the preconditioner tracks the true operator); + // the volume mass is a reluctance-weighted regularization that lifts the film-constant + // gradient mode so GᵀK̃_pcG is SPD for AMS. It touches the preconditioner only. + constexpr bool skip_zeros = false; + MaterialPropertyCoefficient muinv_func(mat_op.GetAttributeToMaterial(), + mat_op.GetCurlCurlInvPermeability()); + BilinearForm k(GetNDSpace()); + k.AddDomainIntegrator(muinv_func); + MaterialPropertyCoefficient mass_func(mat_op.GetAttributeToMaterial(), + mat_op.GetInvPermeability(), london_pc_shift_); + k.AddDomainIntegrator(mass_func); + MaterialPropertyCoefficient fbr(mat_op.MaxCeedBdrAttribute()); + sc_sheet_op.AddStiffnessBdrCoefficients(1.0, fbr); + if (!fbr.empty()) + { + k.AddBoundaryIntegrator(fbr); + } + auto k_vec = k.Assemble(GetNDSpaces(), skip_zeros); + auto K = std::make_unique(GetNDSpaces().GetNumLevels()); + for (std::size_t l = 0; l < GetNDSpaces().GetNumLevels(); l++) + { + const auto &nd_fespace_l = GetNDSpaces().GetFESpaceAtLevel(l); + auto K_l = std::make_unique(std::move(k_vec[l]), nd_fespace_l); + K_l->SetEssentialTrueDofs(dbc_tdof_lists[l], Operator::DiagonalPolicy::DIAG_ONE); + K->AddOperator(std::move(K_l)); + } + return K; +} + const Operator & CurlCurlOperator::GetScreenedStiffnessMatrix(const mfem::Array &extra_dbc_attr) { @@ -294,6 +438,9 @@ CurlCurlOperator::GetScreenedStiffnessMatrix(const mfem::Array &extra_dbc_a { const auto &nd_fespace_l = GetNDSpaces().GetFESpaceAtLevel(l); nd_fespace_l.Get().GetEssentialTrueDofs(merged_marker, entry.dbc_tdof_lists[l]); + // London flux films add no essential DOFs (the whole film is free, governed by the + // sheet term; the hole fluxoid is an integral constraint), so the screened essential + // set here is exactly the PEC + shorted-port set — no perimeter augmentation. auto K_l = std::make_unique(std::move(k_vec[l]), nd_fespace_l); K_l->SetEssentialTrueDofs(entry.dbc_tdof_lists[l], Operator::DiagonalPolicy::DIAG_ONE); K->AddOperator(std::move(K_l)); @@ -357,24 +504,26 @@ void CurlCurlOperator::GetFluxExcitationVector(int idx, Vector &RHS, PostOperator &post_op, Vector *boundary_values) { - // Assemble the surface flux excitation for this specific flux loop - // by solving the 2D surface curl problem on the metallic surface - // that contains the flux hole. + RHS.SetSize(GetNDSpace().GetTrueVSize()); + RHS.UseDevice(true); + RHS = 0.0; + + // Solve the surface problem for a_h, the film field carrying the hole fluxoid ∮a_h·dl = + // Φ. Pure-PEC uses the uniform-perimeter Dirichlet clamp; London uses the curl-free cut + // cohomology generator, whose gradient part the 3D solve absorbs (no spurious penalty + // energy). + const bool london = IsLondonFluxLoop(idx); Vector flux_solution; if (boundary_values) { - SolveSurfaceCurlProblem(idx, post_op, *boundary_values); + SolveSurfaceCurlProblem(idx, post_op, *boundary_values, london); flux_solution = *boundary_values; // Use the pre-allocated result } else { - flux_solution = SolveSurfaceCurlProblem(idx, post_op); + flux_solution = SolveSurfaceCurlProblem(idx, post_op, london); } - RHS.SetSize(GetNDSpace().GetTrueVSize()); - RHS.UseDevice(true); - RHS = 0.0; - // Early exit if boundary values are zero double boundary_norm = linalg::Norml2(GetComm(), flux_solution); if (boundary_norm < 1e-12) @@ -382,7 +531,49 @@ void CurlCurlOperator::GetFluxExcitationVector(int idx, Vector &RHS, return; } - // Cache original matrix if not already cached + if (london) + { + // London flux film: the shifted penalty ½∫_Σ (1/L_ksq)|A_t − a_h|² has Euler-Lagrange + // equation [K_cc + M_sheet] A = M_sheet·a_h, so with the sheet-inclusive base operator + // K on the LHS the RHS is M_sheet·a_h. The film is absent from dbc_tdof_lists (only PEC + // DOFs are pinned), so its interior relaxes freely; as λ→0 the penalty drives A_t → a_h + // (geometric limit) and at finite λ the film penetrates and stores kinetic energy. + if (!M_sheet_) + { + MaterialPropertyCoefficient fbr(mat_op.MaxCeedBdrAttribute()); + sc_sheet_op.AddStiffnessBdrCoefficients(1.0, fbr); + BilinearForm m(GetNDSpace()); + if (!fbr.empty()) + { + m.AddBoundaryIntegrator(fbr); + } + auto m_mat = m.Assemble(GetNDSpaces(), false); + M_sheet_ = std::make_unique(std::move(m_mat.back()), GetNDSpace()); + } + // Normalize the generator so its exact fluxoid cᵀa_h = ∮a_h·dl equals Φ. The driver + // still enforces the constraint on the full solution via α; this just keeps the drive + // a_h normalized. + { + double c_ah = MeasureLondonHoleFlux(idx, flux_solution); + double phi = surf_flux_op.GetSource(idx).GetExcitationFlux(); + if (std::abs(c_ah) > 1.0e-30) + { + double s = phi / c_ah; + flux_solution *= s; + if (boundary_values) + { + *boundary_values = flux_solution; + } + } + } + M_sheet_->Mult(flux_solution, RHS); + linalg::SetSubVector(RHS, dbc_tdof_lists.back(), 0.0); + return; + } + + // Pure-PEC flux loop (unchanged): clamp the whole film Dirichlet. + // Lift with the curl-curl-only operator and prescribe the whole-film boundary + // distribution. if (!K_orig_) { MaterialPropertyCoefficient muinv_func(mat_op.GetAttributeToMaterial(), @@ -403,26 +594,30 @@ void CurlCurlOperator::GetFluxExcitationVector(int idx, Vector &RHS, template Vector CurlCurlOperator::SolveSurfaceCurlProblem(int flux_loop_idx, - PostOperator &post_op) const + PostOperator &post_op, + bool harmonic_generator) const { // Validate flux loop index exists MFEM_VERIFY(surf_flux_op.Size() > 0, "No flux loops configured!"); surf_flux_op.GetSource(flux_loop_idx); // Will throw if not found - return surf_flux_op.SolveSurfaceCurlProblem(flux_loop_idx, GetMesh(), GetNDSpace(), - post_op); + Vector result; + surf_flux_op.SolveSurfaceCurlProblem(flux_loop_idx, GetMesh(), GetNDSpace(), post_op, + result, harmonic_generator); + return result; } template void CurlCurlOperator::SolveSurfaceCurlProblem(int flux_loop_idx, PostOperator &post_op, - Vector &result) const + Vector &result, + bool harmonic_generator) const { // Validate flux loop index exists MFEM_VERIFY(surf_flux_op.Size() > 0, "No flux loops configured!"); surf_flux_op.GetSource(flux_loop_idx); // Will throw if not found surf_flux_op.SolveSurfaceCurlProblem(flux_loop_idx, GetMesh(), GetNDSpace(), post_op, - result); + result, harmonic_generator); } // Explicit template instantiations for PostOperator @@ -434,10 +629,11 @@ template void CurlCurlOperator::GetFluxExcitationVector( - int flux_loop_idx, PostOperator &post_op) const; + int flux_loop_idx, PostOperator &post_op, + bool harmonic_generator) const; template void CurlCurlOperator::SolveSurfaceCurlProblem( - int flux_loop_idx, PostOperator &post_op, - Vector &result) const; + int flux_loop_idx, PostOperator &post_op, Vector &result, + bool harmonic_generator) const; } // namespace palace diff --git a/palace/models/curlcurloperator.hpp b/palace/models/curlcurloperator.hpp index af2a38b2805..0064721f4ad 100644 --- a/palace/models/curlcurloperator.hpp +++ b/palace/models/curlcurloperator.hpp @@ -7,6 +7,7 @@ #include #include #include +#include #include #include #include "fem/fespace.hpp" @@ -35,6 +36,7 @@ struct BoundaryData; struct MaterialData; struct PecBoundaryData; struct SolverData; +struct SuperconductorData; } // namespace config @@ -49,6 +51,12 @@ class CurlCurlOperator // Helper variable for log file printing. bool print_hdr; + // FluxLoopPEC film attributes that are also Superconductor sheets ("London flux films"). + // Their whole surface is a free unknown; the hole fluxoid is realized through the sheet + // penalty, not by pinning DOFs. Declared before dbc_attr because SetUpBoundaryProperties + // (which initializes dbc_attr) populates this set, so it must be constructed first. + std::set london_flux_film_attr_; + // Essential boundary condition attributes. mfem::Array dbc_attr; std::vector> dbc_tdof_lists; @@ -90,12 +98,34 @@ class CurlCurlOperator // Operator for thin-film superconductor sheet (kinetic inductance) boundaries. SuperconductorSheetOperator sc_sheet_op; - // Cached original matrix for flux loop boundary-interior coupling + // Cached original matrix for flux loop boundary-interior coupling (curl-curl only, no + // sheet term). Used for the pure-PEC flux-loop RHS lift. mutable std::unique_ptr K_orig_; + // Flux-loop indices whose FluxLoopPEC film is (partly) a Superconductor sheet — i.e. + // London flux films. Populated at construction after surf_flux_op is set. + std::set london_flux_loops_; + + // Preconditioner-only gauge shift (config LondonPCShift); see GetPreconditionerMatrix. + double london_pc_shift_; + + // Cached sheet-only mass operator M_sheet (the boundary term ∫_Σ (1/L_ksq) A_t·v_t). The + // London flux excitation RHS = M_sheet·a_h is the Euler-Lagrange source of the shifted + // penalty ½∫_Σ (1/L_ksq)|A_t − a_h|². Lazily assembled in GetFluxExcitationVector. + mutable std::unique_ptr M_sheet_; + + // Fluxoid circulation functional c = Curlᵀ·f_hole per London flux loop (f_hole the RT + // hole-cap flux functional), so cᵀA = ∮_∂hole A·dl by Stokes. Imposes the scalar + // constraint cᵀA = Φ via the range-space two-solve A = A_p + α·A_h. Zeroed on the PEC + // essential set. + std::map london_flux_constraint_; + + void SetUpLondonFluxConstraints(); + mfem::Array SetUpBoundaryProperties(const config::PecBoundaryData &pec, const std::map &fluxloop, + const std::vector &superconductor, const mfem::ParMesh &mesh); void CheckBoundaryProperties(); @@ -143,6 +173,19 @@ class CurlCurlOperator // Ampere's law. std::unique_ptr GetStiffnessMatrix(); + // True if any flux loop drives a London (finite-λ) superconductor film, whose free + // interior gives the shifted-penalty operator a residual 1-D gradient null space. + bool HasLondonFluxLoops() const { return !london_flux_loops_.empty(); } + + // Construct the preconditioner matrix for the London magnetostatic path: the stiffness + // matrix plus a small reluctance-weighted volume mass (london_pc_shift_ · (1/µ) ∫|A|²) + // that lifts the residual gradient null space so AMS is SPD-solvable in parallel. This + // shift is applied ONLY to the preconditioner, so the operator, solution, and extracted + // inductance are unchanged. Returns nullptr when there is no London flux film or the + // shift is non-positive, signaling that the stiffness matrix itself should be used as + // preconditioner. + std::unique_ptr GetPreconditionerMatrix(); + // Return the stiffness matrix with extra essential (PEC) attributes beyond those set at // construction, without mutating base boundary state. Used in Short mode to treat // inactive surface current ports as PEC for a single excitation step. The operator is @@ -174,13 +217,34 @@ class CurlCurlOperator void GetFluxExcitationVector(int idx, Vector &RHS, PostOperator &post_op, Vector *boundary_values); + // True if flux loop idx has a London (finite-λ) film. Its flux excitation uses the + // shifted London sheet penalty ½∫(1/L_ksq)|A_t − a_h|² (RHS = M_sheet·a_h), so the driver + // measures the realized hole flux for normalization and corrects the extracted energy to + // |A_t − a_h|². + bool IsLondonFluxLoop(int idx) const { return london_flux_loops_.count(idx) > 0; } + + // Copy the fluxoid constraint functional c for London flux loop idx (c = Curlᵀ·f_hole, + // zeroed on the PEC essential set). Used as the RHS of the fluxoid-mode solve A_h = K⁻¹c. + void GetFluxConstraintVector(int idx, Vector &c) const + { + c = london_flux_constraint_.at(idx); + } + + // Measure the hole flux ∮A·dl = cᵀA of a candidate London field via the stored fluxoid + // functional (exact by Stokes; cheaper than integrating B·n over the hole). + double MeasureLondonHoleFlux(int idx, const Vector &A) const + { + return linalg::Dot(GetComm(), london_flux_constraint_.at(idx), A); + } + // Solve 2D surface curl problem for flux loop boundary conditions template - Vector SolveSurfaceCurlProblem(int flux_loop_idx, PostOperator &post_op) const; + Vector SolveSurfaceCurlProblem(int flux_loop_idx, PostOperator &post_op, + bool harmonic_generator = false) const; template - void SolveSurfaceCurlProblem(int flux_loop_idx, PostOperator &post_op, - Vector &result) const; + void SolveSurfaceCurlProblem(int flux_loop_idx, PostOperator &post_op, Vector &result, + bool harmonic_generator = false) const; // Get the associated MPI communicator. MPI_Comm GetComm() const { return GetNDSpace().GetComm(); } From 3a4f672e920eae7cd7a93a4eb454ee958e20b5b4 Mon Sep 17 00:00:00 2001 From: Dzung Pham Date: Wed, 2 Sep 2026 13:26:53 -0700 Subject: [PATCH 09/27] Apply London two-solve and cross-energy correction in magnetostatic driver --- palace/drivers/magnetostaticsolver.cpp | 89 ++++++++++++++++++++++++-- palace/drivers/magnetostaticsolver.hpp | 4 +- 2 files changed, 87 insertions(+), 6 deletions(-) diff --git a/palace/drivers/magnetostaticsolver.cpp b/palace/drivers/magnetostaticsolver.cpp index 57f4a7e3a30..5cf92e81c17 100644 --- a/palace/drivers/magnetostaticsolver.cpp +++ b/palace/drivers/magnetostaticsolver.cpp @@ -110,6 +110,10 @@ MagnetostaticSolver::Solve(const std::vector> &mesh) const BlockTimer bt0(Timer::CONSTRUCT); CurlCurlOperator curlcurl_op(iodata, mesh); auto K = curlcurl_op.GetStiffnessMatrix(); + // Preconditioner-only gauge shift for the London path (see GetPreconditionerMatrix). + // Non-null only when a London flux film is present and LondonPCShift > 0; null otherwise, + // so K preconditions itself. + auto P_london = curlcurl_op.GetPreconditionerMatrix(); const auto &Curl = curlcurl_op.GetCurlMatrix(); SaveMetadata(curlcurl_op.GetNDSpaces()); @@ -135,7 +139,17 @@ MagnetostaticSolver::Solve(const std::vector> &mesh) const { if (bound_op != &op) { - ksp.SetOperators(op, op); + // For the base operator on the London path, precondition with the gauge-shifted + // matrix P_london (SPD) while the Krylov solver still uses the true operator op. All + // other operators (screened current-port steps) precondition with themselves. + if (P_london && &op == K.get()) + { + ksp.SetOperators(op, *P_london); + } + else + { + ksp.SetOperators(op, op); + } bound_op = &op; } }; @@ -156,10 +170,23 @@ MagnetostaticSolver::Solve(const std::vector> &mesh) const // Source term and solution vector storage. Vector RHS(Curl.Width()), B(Curl.Height()); + // Scratch vectors for the London range-space (two-solve) flux constraint: particular + // solution A_p, fluxoid mode A_h, and its RHS c. Unused for pure-PEC loops and current + // steps. + Vector A_p_london(Curl.Width()), A_h_london(Curl.Width()), RHS_c_london(Curl.Width()); + A_p_london.UseDevice(true); + A_h_london.UseDevice(true); + RHS_c_london.UseDevice(true); std::vector A(n_step); std::vector I_inc(n_step); std::vector Phi_inc(n_step); + // Per London flux step, the drive b = M_sheet·a_h (london_rhs) and a_h (london_ah); empty + // for pure-PEC loops and current steps. Used to correct AᵀM_mag A to the shifted-penalty + // energy in PostprocessTerminals, on both the diagonal and the London-London + // off-diagonals. + std::vector london_rhs(n_step), london_ah(n_step); + // Magnetic flux linked through each current port's element apertures during each flux // excitation, used to recover the current-flux mutual inductance in a mixed simulation. // This coupling is invisible to the cross-energy formula: a current step drives zero loop @@ -289,7 +316,38 @@ MagnetostaticSolver::Solve(const std::vector> &mesh) const // Solve 3D magnetostatic problem (flux loops use the base operator). set_operator(*K); - ksp.Mult(RHS, A[step]); + + if (curlcurl_op.IsLondonFluxLoop(idx)) + { + // London flux film: range-space (two-solve) solution of the bordered + // flux-constrained system. RHS holds the shifted-penalty drive b = M_sheet·a_h, + // boundary_values holds a_h. Solve A_p = K⁻¹b and the fluxoid mode A_h = K⁻¹c, then + // A = A_p + α·A_h with α = (Φ − cᵀA_p)/(cᵀA_h) enforcing the exact hole flux cᵀA = + // Φ at all λ. The scalar constraint pins only the loop integral, so the near-hole + // current is free to crowd. + MFEM_ASSERT(A_p_london.Size() == RHS.Size(), + "London scratch vector size mismatch!"); + ksp.Mult(RHS, A_p_london); + curlcurl_op.GetFluxConstraintVector(idx, RHS_c_london); + ksp.Mult(RHS_c_london, A_h_london); + double phi_p = curlcurl_op.MeasureLondonHoleFlux(idx, A_p_london); + double phi_h = curlcurl_op.MeasureLondonHoleFlux(idx, A_h_london); + MFEM_VERIFY( + std::abs(phi_h) > 1.0e-30, + "London fluxoid mode carries ~zero hole flux; cannot enforce constraint!"); + double alpha = (data.GetExcitationFlux() - phi_p) / phi_h; + A[step] = A_p_london; + A[step].Add(alpha, A_h_london); + Phi_inc[step] = data.GetExcitationFlux(); // Exact via the flux constraint. + + // Retain b and a_h for the cross-energy correction in PostprocessTerminals. + london_rhs[step] = RHS; + london_ah[step] = boundary_values; + } + else + { + ksp.Mult(RHS, A[step]); + } } } @@ -350,7 +408,8 @@ MagnetostaticSolver::Solve(const std::vector> &mesh) const BlockTimer bt1(Timer::POSTPRO); SaveMetadata(ksp); PostprocessTerminals(post_op, curlcurl_op.GetSurfaceCurrentOp(), - curlcurl_op.GetSurfaceFluxOp(), A, I_inc, Phi_inc, linked_flux); + curlcurl_op.GetSurfaceFluxOp(), A, I_inc, Phi_inc, linked_flux, + london_rhs, london_ah); post_op.MeasureFinalize(indicator); return {indicator, curlcurl_op.GlobalTrueVSize()}; } @@ -359,7 +418,8 @@ void MagnetostaticSolver::PostprocessTerminals( PostOperator &post_op, const SurfaceCurrentOperator &surf_j_op, const SurfaceFluxOperator &surf_flux_op, const std::vector &A, const std::vector &I_inc, - const std::vector &Phi_inc, const mfem::DenseMatrix &linked_flux) const + const std::vector &Phi_inc, const mfem::DenseMatrix &linked_flux, + const std::vector &london_rhs, const std::vector &london_ah) const { // Postprocess the Maxwell inductance matrix. See p. 97 of the COMSOL AC/DC Module manual // for the associated formulas based on the magnetic field energy based on a current @@ -440,6 +500,24 @@ void MagnetostaticSolver::PostprocessTerminals( // Compute cross-energy matrix and diagonals. Off-diagonals are only meaningful between // reciprocal (Open-Open) port pairs; other pairs are left as NaN. + // + // London shift correction. M_mag gives AᵀM_mag A = 2W + S(A,A), but the physical London + // energy is Ẽ_ij = 2W(A_i,A_j) + S(A_i − a_h_i, A_j − a_h_j), so each London-London pair + // needs + // Δ_ij = −Dot(A_i,b_j) − Dot(A_j,b_i) + Dot(a_h_i,b_j), b = M_sheet·a_h. + // Zero unless both steps carry a London drive (pure-PEC loops and current steps store + // nothing). + auto london_correction = [&](int i, int j) -> double + { + if (london_rhs[i].Size() == 0 || london_rhs[j].Size() == 0) + { + return 0.0; + } + return -linalg::Dot(post_op.GetComm(), A[i], london_rhs[j]) - + linalg::Dot(post_op.GetComm(), A[j], london_rhs[i]) + + linalg::Dot(post_op.GetComm(), london_ah[i], london_rhs[j]); + }; + mfem::DenseMatrix cross_energy(n); cross_energy = nan; for (int i = 0; i < n; i++) @@ -449,6 +527,7 @@ void MagnetostaticSolver::PostprocessTerminals( A_gf.SetFromTrueDofs(A[i]); post_op.GetDomainPostOp().M_mag->Mult(A_gf, H_gf); cross_energy(i, i) = linalg::Dot(post_op.GetComm(), A_gf, H_gf); + cross_energy(i, i) += london_correction(i, i); // Off-diagonal cross-energies (only for reciprocal Open-Open pairs). for (int j = i + 1; j < n; j++) @@ -459,7 +538,7 @@ void MagnetostaticSolver::PostprocessTerminals( } A_gf.SetFromTrueDofs(A[j]); cross_energy(i, j) = cross_energy(j, i) = - linalg::Dot(post_op.GetComm(), A_gf, H_gf); + linalg::Dot(post_op.GetComm(), A_gf, H_gf) + london_correction(i, j); } } diff --git a/palace/drivers/magnetostaticsolver.hpp b/palace/drivers/magnetostaticsolver.hpp index 97914a3b03f..be0951dd515 100644 --- a/palace/drivers/magnetostaticsolver.hpp +++ b/palace/drivers/magnetostaticsolver.hpp @@ -31,7 +31,9 @@ class MagnetostaticSolver : public BaseSolver const SurfaceFluxOperator &surf_flux_op, const std::vector &A, const std::vector &I_inc, const std::vector &Phi_inc, - const mfem::DenseMatrix &linked_flux) const; + const mfem::DenseMatrix &linked_flux, + const std::vector &london_rhs, + const std::vector &london_ah) const; std::pair Solve(const std::vector> &mesh) const override; From faf1004b4a49bfc6dccd5326cd3536e8fb1928c5 Mon Sep 17 00:00:00 2001 From: Dzung Pham Date: Wed, 2 Sep 2026 13:27:07 -0700 Subject: [PATCH 10/27] Add square/circular/double hole examples and document total inductance --- docs/src/examples/circular_hole.md | 407 ++++++++++-------- examples/circular_hole/circular_hole.json | 8 + .../double_circular_hole_multi_flux.json | 8 + .../double_circular_hole_multi_planes.json | 10 +- examples/circular_hole/mesh/rect_hole_mesh.jl | 166 +++++++ examples/circular_hole/mesh/square_hole.msh | Bin 0 -> 3259126 bytes .../circular_hole/mesh/square_hole_mesh.jl | 207 +++++++++ ...le_circular_hole.json => square_hole.json} | 17 +- 8 files changed, 635 insertions(+), 188 deletions(-) create mode 100644 examples/circular_hole/mesh/rect_hole_mesh.jl create mode 100644 examples/circular_hole/mesh/square_hole.msh create mode 100644 examples/circular_hole/mesh/square_hole_mesh.jl rename examples/circular_hole/{double_circular_hole.json => square_hole.json} (70%) diff --git a/docs/src/examples/circular_hole.md b/docs/src/examples/circular_hole.md index c5dcd37aaef..d08bee95f5e 100644 --- a/docs/src/examples/circular_hole.md +++ b/docs/src/examples/circular_hole.md @@ -11,38 +11,70 @@ function include_example_file(example_path, filename) end ``` -# Flux Trapping Analysis +# Flux Trapping and Kinetic Inductance ## Problem description -This example demonstrates Palace's flux boundary conditions for magnetostatic analysis of -magnetic flux trapping in superconducting structures. The problem considers metallic planes -containing holes through which fixed amounts of magnetic flux are prescribed, and computes -the resulting magnetic field distribution and inductance matrix. +This example demonstrates Palace's flux boundary conditions for the magnetostatic analysis of +thin-film superconducting structures with holes. Fixed amounts of magnetic flux are prescribed +through the holes, and the solver extracts the resulting field distribution together with the +loop inductance matrix — including the **kinetic** contribution of a finite-penetration-depth +London film. -Flux conditions are imposed as integral constraints on the hole perimeters: +Flux is imposed as an integral (fluxoid) constraint on each hole perimeter, ```math \oint_h \mathbf{A} \cdot d\boldsymbol{\ell} = \Phi, ``` -where ``\mathbf{A}`` is the magnetic vector potential and ``\Phi`` is the prescribed flux -through hole ``h``. The solution proceeds in two stages: first, a 2D surface curl problem -is solved on the metallic plane to determine the tangential component of ``\mathbf{A}`` -satisfying the integral constraint; then, this surface field serves as a Dirichlet boundary -condition for the full 3D magnetostatic problem. - -Four configurations of increasing complexity are provided in the +where ``\mathbf{A}`` is the magnetic vector potential and ``\Phi`` the prescribed flux through +hole ``h``. For each hole a curl-free cohomology generator ``\mathbf{a}_h`` with loop +circulation ``\Phi`` is constructed on the 3D mesh (a discrete gradient with a ``\Phi``-jump +across a cut surface spanning the hole). The magnetostatic system is then solved with the loop +integral imposed as a single scalar constraint via a range-space (two-solve) method, so the +fluxoid ``\oint_h \mathbf{A}\cdot d\boldsymbol{\ell} = \Phi`` holds exactly, gauge-invariantly, +and independently of the mesh partition. Only the loop integral is pinned, so the shielding +currents remain free to redistribute near the hole. + +Whether a film screens perfectly or penetrates is set by how its attribute is declared: + + - **Perfect conductor (``\lambda \to 0``).** A film attribute listed under `"FluxLoopPEC"` + only is treated as a perfect screen: the flux-expulsion condition + ``\mathbf{B}\cdot\mathbf{n} = 0`` holds together with the fluxoid, and the extracted + inductance is purely **geometric**. + - **London film (finite ``\lambda``).** A film attribute listed also under + [`"Superconductor"`](../config/reference.md#config-boundaries-superconductor) carries the + shifted London sheet penalty + + ```math + \tfrac{1}{2}\int_\Sigma \frac{1}{L_\square}\,\lvert \mathbf{A}_t - \mathbf{a}_h\rvert^2\,dS, + \qquad L_\square = \frac{\mu_0 \lambda^2}{d}, + ``` + + where ``\lambda`` (`"PenetrationDepth"`) is the penetration depth and ``d`` + (`"Thickness"`) the film thickness. The film interior ``\mathbf{A}_t`` is then a free + unknown: the field penetrates over ``\sim\lambda`` and stores additional kinetic energy, so + the extracted inductance is the **total** ``L = L_\text{geom} + L_\text{kin}``. As + ``\lambda \to 0`` the penalty forces ``\mathbf{A}_t \to \mathbf{a}_h`` and the perfect-screening + (geometric) limit is recovered. + +Because a flux loop is enforced through a single scalar fluxoid constraint, **each hole must be +its own flux loop** (one entry in `"HoleAttributes"`); several holes are modeled as several +`"FluxLoop"` excitations, from which the full self/mutual inductance matrix — and any signed +combination of hole fluxes — follows. + +Four configurations are provided in the [`examples/circular_hole/`](https://github.com/awslabs/palace/blob/main/examples/circular_hole) directory: - - **Single hole** (`circular_hole.json`): A circular hole in a circular metal plate. - - **Two holes, single flux loop** (`double_circular_hole.json`): Two holes on one plate - with equal and opposite flux prescribed through a single excitation. - - **Two holes, separate flux loops** (`double_circular_hole_multi_flux.json`): Two holes - on one plate with independent flux loop excitations. - - **Two holes on separate planes** (`double_circular_hole_multi_planes.json`): Two holes - on spatially separated plates with independent excitations. + - **Square washer** (`square_hole.json`): a perfect-conductor washer, validated against the + analytic Ketchen–Jaycox formula. + - **Single hole** (`circular_hole.json`): a circular London film with a concentric hole, + swept over the penetration depth ``\lambda``. + - **Two holes, shared plate** (`double_circular_hole_multi_flux.json`): two holes on one + London film, each an independent flux loop. + - **Two holes, separate plates** (`double_circular_hole_multi_planes.json`): two spatially + separated London films, each with one hole. All configurations use a mesh length unit of ``\mu\text{m}``. @@ -76,13 +108,33 @@ settings are: The AMS (Auxiliary-space Maxwell Solver) preconditioner with CG iteration is well-suited for the symmetric positive-definite curl-curl system arising in magnetostatics. -### Single hole +## Mesh + +The meshes are generated using Julia scripts with the Gmsh package, located in the `mesh/` +subdirectory. For example, the two-hole rectangular plate mesh can be generated with: -The first configuration (`circular_hole.json`) models a circular metal plate of radius -``R = 3\,\mu\text{m}`` with a concentric hole of radius ``r = 1\,\mu\text{m}``. A unit -nondimensional flux-loop excitation amplitude is prescribed through the hole. +```bash +julia -e 'include("mesh/sheet_w_two_holes.jl"); generate_sheet_with_two_holes_mesh()' +``` -The `"FluxLoop"` boundary specification is: +The figures below show the geometries. From left to right: the single circular hole on a +circular plate, the rectangular plate with two holes, and the two spatially separated square +plates each containing a hole: + +```@raw html +

+ + + +


+``` + +## Square washer + +The `square_hole.json` configuration provides a check against a known closed-form result. It models a square washer with a central square hole of +side ``d = 2\,\mu\text{m}`` and border width ``W = 6\,\mu\text{m}`` (`mesh/square_hole.msh`, +generated by `mesh/square_hole_mesh.jl`). The film attribute is listed under `"FluxLoopPEC"` but +*not* under `"Superconductor"`, so it is solved in the perfect-screening (``\lambda\to0``) limit: ```json "FluxLoop": @@ -97,76 +149,116 @@ The `"FluxLoop"` boundary specification is: ] ``` -The fields have the following meaning: +For a square washer in the large-border limit, the Ketchen–Jaycox thin-film formula +[[1]](#References) gives the loop inductance - - `"FluxLoopPEC"`: boundary attributes of the metal surface on which the 2D surface curl - problem is solved. - - `"HoleAttributes"`: boundary attributes of the hole perimeters where integral - constraints are applied. - - `"FluxAmounts"`: prescribed nondimensional flux-loop excitation amplitudes through - each hole. - - `"Direction"`: surface normal direction for flux orientation. +```math +L \approx 1.25\,\mu_0 d \,, +``` -### Two holes with single flux loop +which evaluates to ``L \approx 3.14\,\text{pH}`` for ``d = 2\,\mu\text{m}``. *Palace* extracts +``L \approx 3.01\,\text{pH}`` (coefficient ``L/(\mu_0 d) \approx 1.20``), converging upward under +mesh refinement toward ``\approx 3.04\,\text{pH}``. The residual difference from ``1.25`` is +within the literature spread of the Ketchen coefficient. -The second configuration (`double_circular_hole.json`) uses a rectangular plate with two -circular holes separated by ``5\,\mu\text{m}``. Both holes belong to a single flux loop -excitation with opposite flux values: +## Single hole — penetration-depth sweep + +The `circular_hole.json` configuration models a circular film of radius ``R = 3\,\mu\text{m}`` +with a concentric hole of radius ``r = 1\,\mu\text{m}``, now declared a London film. A unit +nondimensional flux-loop amplitude is prescribed through the hole: ```json +"Superconductor": +[ + { + "Attributes": [8], + "PenetrationDepth": 0.4, + "Thickness": 0.1 + } +], "FluxLoop": [ { "Index": 1, "FluxLoopPEC": [8], - "HoleAttributes": [9, 10], - "FluxAmounts": [1.0, -1.0], + "HoleAttributes": [9], + "FluxAmounts": [1.0], "Direction": "+Z" } ] ``` -This configuration models the scenario where equal and opposite flux enters through the two -holes, as occurs when a vortex-antivortex pair is trapped in a superconducting film. Since -both holes share a single excitation index, the solver computes one self-inductance value -for the combined configuration. +The fields have the following meaning: -### Two holes with separate flux loops + - `"FluxLoopPEC"`: boundary attributes of the metal film carrying the flux loop. + - `"HoleAttributes"`: boundary attribute of the hole perimeter where the integral constraint + is applied (exactly one per flux loop). + - `"FluxAmounts"`: prescribed nondimensional flux-loop amplitude through the hole. + - `"Direction"`: surface normal direction for flux orientation. + - `"Superconductor"`: the same film attribute, with penetration depth ``\lambda`` and + thickness ``d`` (both in ``\mu\text{m}``) setting the sheet inductance + ``L_\square = \mu_0\lambda^2/d``. + +Sweeping ``\lambda`` at fixed ``d = 0.1\,\mu\text{m}`` shows the kinetic inductance adding to the +geometric baseline as the film penetration grows, and the ``\lambda\to0`` value reproducing the +perfect-conductor limit: + +| ``\lambda`` (μm) | ``L_\square = \lambda^2/d`` | ``L`` (pH) | +|:---:|:---:|:---:| +| ``0`` (PEC) | ``0`` | ``2.853`` | +| ``0.1`` | ``0.1`` | ``3.288`` | +| ``0.2`` | ``0.4`` | ``4.017`` | +| ``0.4`` | ``1.6`` | ``5.157`` | + +At ``\lambda = 0.4\,\mu\text{m}`` the self-inductance is ``L = 5.157\,\text{pH}``, of which +``2.853\,\text{pH}`` is geometric and ``\approx 2.30\,\text{pH}`` kinetic. The geometric value +corresponds to a stored magnetic energy of ``E = \Phi_0^2/(2L)`` for one flux quantum +``\Phi_0 = 2.0678\times10^{-15}\,\text{Wb}`` trapped in the hole. + +The figures below show the magnetic vector potential amplitude ``|\mathbf{A}|``, its in-plane +components ``A_x`` and ``A_y``, the out-of-plane magnetic field ``B_z``, and the surface current +components ``J_x`` and ``J_y`` on the film: -The third configuration (`double_circular_hole_multi_flux.json`) uses the same two-hole -geometry but treats each hole as an independent excitation: +```@raw html +

+ + + +


+``` -```json -"FluxLoop": -[ - { - "Index": 1, - "FluxLoopPEC": [8], - "HoleAttributes": [9], - "FluxAmounts": [1.0], - "Direction": [0.0, 0.0, 1.0] - }, - { - "Index": 2, - "FluxLoopPEC": [8], - "HoleAttributes": [10], - "FluxAmounts": [1.0], - "Direction": [0.0, 0.0, 1.0] - } -] +```@raw html +

+ + + +


``` -With two independent excitations, the solver computes the full ``2 \times 2`` inductance -matrix, including self-inductances ``M_{11}``, ``M_{22}`` and mutual inductance ``M_{12}``. -Note that `"Direction"` accepts either a string shorthand (`"+Z"`) or an explicit numeric -array (`[0.0, 0.0, 1.0]`). +As a verification step, we compute the flux threading the hole by evaluating the surface integral +``\int_h \mathbf{B} \cdot d\mathbf{S}`` over the hole area. The computed flux agrees with the +prescribed value to high accuracy: + +```@raw html +

+ +


+``` -### Two holes on separate planes +## Two holes on a shared plate -The fourth configuration (`double_circular_hole_multi_planes.json`) places each hole on its -own spatially separated metal plate, each with a distinct `"FluxLoopPEC"` attribute: +The `double_circular_hole_multi_flux.json` configuration places two holes on a single London +film, each treated as an independent flux loop: ```json +"Superconductor": +[ + { + "Attributes": [8], + "PenetrationDepth": 0.4, + "Thickness": 0.1 + } +], "FluxLoop": [ { @@ -178,82 +270,45 @@ own spatially separated metal plate, each with a distinct `"FluxLoopPEC"` attrib }, { "Index": 2, - "FluxLoopPEC": [10], - "HoleAttributes": [11], + "FluxLoopPEC": [8], + "HoleAttributes": [10], "FluxAmounts": [1.0], "Direction": [0.0, 0.0, 1.0] } ] ``` -Because the plates are physically separated, this configuration tests the solver's handling -of multiple independent metal surfaces and provides a comparison case where inter-hole -coupling is expected to be reduced. +Note that `"Direction"` accepts either a string shorthand (`"+Z"`) or an explicit numeric array +(`[0.0, 0.0, 1.0]`). With two independent excitations the solver computes the full inductance +matrix from the stored magnetic energy, -## Mesh - -The meshes are generated using Julia scripts with the Gmsh package, located in the `mesh/` -subdirectory. For example, the two-hole rectangular plate mesh can be generated with: - -```bash -julia -e 'include("mesh/sheet_w_two_holes.jl"); generate_sheet_with_two_holes_mesh()' -``` - -The figures below show the three mesh geometries. From left to right: the single circular -hole on a circular plate, the rectangular plate with two holes, and the two spatially -separated square plates each containing a hole: - -```@raw html -

- - - -


-``` - -## Results - -### Single hole - -For the single-hole configuration, the solver extracts a self-inductance of -``M = 1.902\,\text{pH}``. This corresponds to a stored magnetic energy of -``E_\text{mag} = Φ₀^2 / (2M) = 1.124 \times 10^{-18}\,\text{J}`` for one physical flux -quantum ``Φ₀ = 2.0678 \times 10^{-15}\,\text{Wb}`` trapped in the hole. - -The figures below show the magnetic vector potential amplitude ``|\mathbf{A}|``, its -in-plane components ``A_x`` and ``A_y``, the out-of-plane magnetic field ``B_z``, and the -surface current components ``J_x`` and ``J_y`` on the metal surface: - -```@raw html -

- - - -


-``` - -```@raw html -

- - - -


+```math +R_{ij} = \frac{2E_{ij}}{\Phi_i \Phi_j}, \qquad M = R^{-1}, ``` -As a verification step, we compute the flux threading through the hole by evaluating the -surface integral ``\int_h \mathbf{B} \cdot d\mathbf{S}`` over the hole area. The computed -flux agrees with the prescribed value to high accuracy: +where ``2E_{ij}`` is the cross magnetic energy of flux states ``i`` and ``j`` (the curl energy +together with the kinetic sheet contribution for the London film), ``R`` is the reluctance +matrix, and ``M`` is the inductance matrix written to `terminal-M.csv`. The diagonal entries +``M_{ii}`` are the self-inductances; the off-diagonal ``M_{ij}`` (``i \neq j``) is the mutual +inductance. For ``\lambda = 0.4\,\mu\text{m}``, ``d = 0.1\,\mu\text{m}`` the computed matrix is -```@raw html -

- -


+```math +M = \begin{pmatrix} +4.510 & -0.136 \\ +-0.136 & 4.500 +\end{pmatrix} \text{pH} ``` -### Two holes with single flux loop +The near-equal self-inductances reflect the geometric symmetry of the two holes, each raised +above its ``\approx 2.85\,\text{pH}`` PEC value by the kinetic contribution of the penetrating +film. The mutual inductance is small and negative — about 3% of the self-inductance — so the two +holes on the shared film are weakly coupled: flux forced through one hole only modestly +influences the shielding currents around the other at this separation. The energy of the +antisymmetric (``+1/-1`` vortex–antivortex) state follows from this matrix as +``M_{11}+M_{22}-2M_{12} \approx 9.28\,\text{pH}``. -The figures below show the same field quantities for the two-hole geometry with opposing -unit flux-loop excitation amplitudes (+1 through one hole, -1 through the other): +The figures below show the same field quantities for the two-hole geometry with unit flux +through each hole: ```@raw html

@@ -271,8 +326,7 @@ unit flux-loop excitation amplitudes (+1 through one hole, -1 through the other)


``` -Again, the computed flux through each hole matches the prescribed values, confirming the -accuracy of the solution: +Again, the computed flux through each hole matches the prescribed values: ```@raw html

@@ -280,54 +334,57 @@ accuracy of the solution:


``` -### Two holes with separate flux loops +## Two holes on separate plates -When independent flux excitations are configured, the solver extracts the full inductance -matrix from the stored magnetic energy: +The `double_circular_hole_multi_planes.json` configuration places each hole on its own spatially +separated London film, each with a distinct `"FluxLoopPEC"` attribute (both films appear in the +shared `"Superconductor"` block): -```math -R_{ij} = \frac{\mathbf{A}_j^T K \mathbf{A}_i}{\Phi_i \Phi_j}, \qquad M = R^{-1}, +```json +"Superconductor": +[ + { + "Attributes": [8, 10], + "PenetrationDepth": 0.4, + "Thickness": 0.1 + } +], +"FluxLoop": +[ + { + "Index": 1, + "FluxLoopPEC": [8], + "HoleAttributes": [9], + "FluxAmounts": [1.0], + "Direction": [0.0, 0.0, 1.0] + }, + { + "Index": 2, + "FluxLoopPEC": [10], + "HoleAttributes": [11], + "FluxAmounts": [1.0], + "Direction": [0.0, 0.0, 1.0] + } +] ``` -where ``K`` is the curl-curl stiffness matrix, ``R`` is the reluctance matrix, and ``M`` is -the inductance matrix written to `terminal-M.csv`. The diagonal entries ``M_{ii}`` give the -self-inductance of each flux loop, which can be used to compute the energy cost of trapping -a specified physical flux in hole ``i``. The off-diagonal entries ``M_{ij}`` (``i \neq j``) -give the mutual inductance, which captures how the magnetic field generated by flux in one -hole influences the other. - -For the two-hole configuration on a shared plate, the computed inductance matrix is: +For ``\lambda = 0.4\,\mu\text{m}``, ``d = 0.1\,\mu\text{m}`` the inductance matrix is ```math M = \begin{pmatrix} -1.909 & -1.405 \times 10^{-5} \\ --1.405 \times 10^{-5} & 1.909 +4.888 & 0.000 \\ +0.000 & 4.872 \end{pmatrix} \text{pH} ``` -The equal self-inductances reflect the geometric symmetry of the two holes. The mutual -inductance is five orders of magnitude -smaller than the self-inductance, indicating that despite being on the same plate, the two -holes are magnetically nearly independent at this separation: flux trapped in one hole has -negligible influence on the shielding currents around the other. - -### Two holes on separate planes - -When the two holes are placed on spatially separated plates, the inductance matrix is: +The self-inductances are equal by the mirror symmetry of the two plates. The mutual inductance is +numerically zero (``|M_{12}| \approx 2\times10^{-4}\,\text{pH}``, i.e. ``\sim10^{-5}`` of the +self-inductance, at the solver-tolerance floor): with the holes on physically separated films the +shielding currents around each hole are confined to their own metal and cannot circulate across to +the other, and the residual far-field coupling is itself screened, so the two loops are +effectively decoupled — in contrast to the shared-plate case above. -```math -M = \begin{pmatrix} -1.839 & -1.134 \times 10^{-5}\\ --1.134 \times 10^{-5} & 1.829 -\end{pmatrix} \text{pH} -``` +## References -The self-inductances are slightly smaller than in the shared-plate case because the -surrounding metal no longer extends as far, reducing the flux return path. The mutual -inductance is comparable in magnitude to the shared-plate result, which may be -counterintuitive. The key reason is that mutual inductance in this geometry is dominated -by the far-field magnetic interaction between the two holes, which depends mainly on their -center-to-center separation -- not on whether they share a plate. The shielding currents -flowing around each hole are confined to their own plate and cannot cross over to the other, -but the magnetic field itself still permeates the surrounding space and couples the two -loops at long range. +[1] J. M. Jaycox and M. B. Ketchen, Planar coupling scheme for ultra low noise DC SQUIDs, _IEEE +Transactions on Magnetics_ 17 (1981) 400-403. diff --git a/examples/circular_hole/circular_hole.json b/examples/circular_hole/circular_hole.json index 9a70022f856..454f516f6c8 100644 --- a/examples/circular_hole/circular_hole.json +++ b/examples/circular_hole/circular_hole.json @@ -43,6 +43,14 @@ { "Attributes": [2, 3, 4, 5, 6, 7] }, + "Superconductor": + [ + { + "Attributes": [8], // London film: total (geometric + kinetic) inductance + "PenetrationDepth": 0.4, // λ (μm); L_ksq = μ₀ λ² / d + "Thickness": 0.1 // d (μm) + } + ], "FluxLoop": [ { diff --git a/examples/circular_hole/double_circular_hole_multi_flux.json b/examples/circular_hole/double_circular_hole_multi_flux.json index 38d54a90a90..690c3ef0469 100644 --- a/examples/circular_hole/double_circular_hole_multi_flux.json +++ b/examples/circular_hole/double_circular_hole_multi_flux.json @@ -43,6 +43,14 @@ { "Attributes": [2, 3, 4, 5, 6, 7] }, + "Superconductor": + [ + { + "Attributes": [8], // shared London film carrying both holes + "PenetrationDepth": 0.4, // λ (μm); L_ksq = μ₀ λ² / d + "Thickness": 0.1 // d (μm) + } + ], "FluxLoop": [ { diff --git a/examples/circular_hole/double_circular_hole_multi_planes.json b/examples/circular_hole/double_circular_hole_multi_planes.json index b4f6fc045f6..e787f9b695e 100644 --- a/examples/circular_hole/double_circular_hole_multi_planes.json +++ b/examples/circular_hole/double_circular_hole_multi_planes.json @@ -3,7 +3,7 @@ { "Type": "Magnetostatic", "Verbose": 2, - "Output": "postpro_multi_flux" + "Output": "postpro_multi_planes" }, "Model": { @@ -43,6 +43,14 @@ { "Attributes": [2, 3, 4, 5, 6, 7] }, + "Superconductor": + [ + { + "Attributes": [8, 10], // two separated London films, one hole each + "PenetrationDepth": 0.4, // λ (μm); L_ksq = μ₀ λ² / d + "Thickness": 0.1 // d (μm) + } + ], "FluxLoop": [ { diff --git a/examples/circular_hole/mesh/rect_hole_mesh.jl b/examples/circular_hole/mesh/rect_hole_mesh.jl new file mode 100644 index 00000000000..36f21b17b18 --- /dev/null +++ b/examples/circular_hole/mesh/rect_hole_mesh.jl @@ -0,0 +1,166 @@ +# Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +# SPDX-License-Identifier: Apache-2.0 + +using Gmsh: gmsh + +""" + generate_rect_hole_mesh(; + filename = "rect_hole.msh", + dx = 2.0, dy = 5.0, # hole side lengths + W = 3.0, # film border width (outer film = (dx+2W) x (dy+2W)) + L_outer = 30.0, # computational box size + mesh_size_coarse = 3.0, + mesh_size_medium = 0.5, + mesh_size_fine = 0.2, + verbose = 5, gui = false) + +Rectangular superconducting film with a central rectangular hole (Khapaev 1997, +Supercond. Sci. Technol. 10 389, table 1 / figure 3). Attribute scheme matches +circular_hole: domain=1, box walls=2-7, film=8, hole=9. +""" +function generate_rect_hole_mesh(; + filename::AbstractString="rect_hole.msh", + dx::Real=2.0, + dy::Real=5.0, + W::Real=3.0, + L_outer::Real=30.0, + mesh_size_coarse::Real=3.0, + mesh_size_medium::Real=0.5, + mesh_size_fine::Real=0.2, + verbose::Integer=5, + gui::Bool=false +) + gmsh.initialize() + gmsh.option.setNumber("General.Verbosity", verbose) + gmsh.model.add("rect_hole") + gmsh.option.setNumber("Mesh.MshFileVersion", 2.2) + + cx, cy, cz = 0.5, 0.5, 0.5 + hx, hy = dx / 2, dy / 2 # hole half-sides + fx, fy = dx / 2 + W, dy / 2 + W # film half-sides + + cube_pts = [ + gmsh.model.geo.addPoint(cx - L_outer / 2, cy - L_outer / 2, cz - L_outer / 2, mesh_size_coarse), + gmsh.model.geo.addPoint(cx + L_outer / 2, cy - L_outer / 2, cz - L_outer / 2, mesh_size_coarse), + gmsh.model.geo.addPoint(cx + L_outer / 2, cy + L_outer / 2, cz - L_outer / 2, mesh_size_coarse), + gmsh.model.geo.addPoint(cx - L_outer / 2, cy + L_outer / 2, cz - L_outer / 2, mesh_size_coarse), + gmsh.model.geo.addPoint(cx - L_outer / 2, cy - L_outer / 2, cz + L_outer / 2, mesh_size_coarse), + gmsh.model.geo.addPoint(cx + L_outer / 2, cy - L_outer / 2, cz + L_outer / 2, mesh_size_coarse), + gmsh.model.geo.addPoint(cx + L_outer / 2, cy + L_outer / 2, cz + L_outer / 2, mesh_size_coarse), + gmsh.model.geo.addPoint(cx - L_outer / 2, cy + L_outer / 2, cz + L_outer / 2, mesh_size_coarse) + ] + + outer_pts = [ + gmsh.model.geo.addPoint(cx - fx, cy - fy, cz, mesh_size_medium), + gmsh.model.geo.addPoint(cx + fx, cy - fy, cz, mesh_size_medium), + gmsh.model.geo.addPoint(cx + fx, cy + fy, cz, mesh_size_medium), + gmsh.model.geo.addPoint(cx - fx, cy + fy, cz, mesh_size_medium) + ] + inner_pts = [ + gmsh.model.geo.addPoint(cx - hx, cy - hy, cz, mesh_size_fine), + gmsh.model.geo.addPoint(cx + hx, cy - hy, cz, mesh_size_fine), + gmsh.model.geo.addPoint(cx + hx, cy + hy, cz, mesh_size_fine), + gmsh.model.geo.addPoint(cx - hx, cy + hy, cz, mesh_size_fine) + ] + + cube_lines = [ + gmsh.model.geo.addLine(cube_pts[1], cube_pts[2]), + gmsh.model.geo.addLine(cube_pts[2], cube_pts[3]), + gmsh.model.geo.addLine(cube_pts[3], cube_pts[4]), + gmsh.model.geo.addLine(cube_pts[4], cube_pts[1]), + gmsh.model.geo.addLine(cube_pts[5], cube_pts[6]), + gmsh.model.geo.addLine(cube_pts[6], cube_pts[7]), + gmsh.model.geo.addLine(cube_pts[7], cube_pts[8]), + gmsh.model.geo.addLine(cube_pts[8], cube_pts[5]), + gmsh.model.geo.addLine(cube_pts[1], cube_pts[5]), + gmsh.model.geo.addLine(cube_pts[2], cube_pts[6]), + gmsh.model.geo.addLine(cube_pts[3], cube_pts[7]), + gmsh.model.geo.addLine(cube_pts[4], cube_pts[8]) + ] + outer_lines = [ + gmsh.model.geo.addLine(outer_pts[1], outer_pts[2]), + gmsh.model.geo.addLine(outer_pts[2], outer_pts[3]), + gmsh.model.geo.addLine(outer_pts[3], outer_pts[4]), + gmsh.model.geo.addLine(outer_pts[4], outer_pts[1]) + ] + inner_lines = [ + gmsh.model.geo.addLine(inner_pts[1], inner_pts[2]), + gmsh.model.geo.addLine(inner_pts[2], inner_pts[3]), + gmsh.model.geo.addLine(inner_pts[3], inner_pts[4]), + gmsh.model.geo.addLine(inner_pts[4], inner_pts[1]) + ] + + outer_loop = gmsh.model.geo.addCurveLoop(outer_lines) + inner_loop = gmsh.model.geo.addCurveLoop(inner_lines) + disk_surface = gmsh.model.geo.addPlaneSurface([outer_loop, inner_loop]) + hole_surface = gmsh.model.geo.addPlaneSurface([inner_loop]) + + cube_loops = [ + gmsh.model.geo.addCurveLoop([cube_lines[1], cube_lines[2], cube_lines[3], cube_lines[4]]), + gmsh.model.geo.addCurveLoop([cube_lines[5], cube_lines[6], cube_lines[7], cube_lines[8]]), + gmsh.model.geo.addCurveLoop([cube_lines[9], cube_lines[5], -cube_lines[10], -cube_lines[1]]), + gmsh.model.geo.addCurveLoop([cube_lines[10], cube_lines[6], -cube_lines[11], -cube_lines[2]]), + gmsh.model.geo.addCurveLoop([cube_lines[11], cube_lines[7], -cube_lines[12], -cube_lines[3]]), + gmsh.model.geo.addCurveLoop([cube_lines[12], cube_lines[8], -cube_lines[9], -cube_lines[4]]) + ] + cube_surfaces = [gmsh.model.geo.addPlaneSurface([loop]) for loop in cube_loops] + + surface_loop = + gmsh.model.geo.addSurfaceLoop([cube_surfaces..., disk_surface, hole_surface]) + volume = gmsh.model.geo.addVolume([surface_loop]) + gmsh.model.geo.synchronize() + + gmsh.model.mesh.field.add("Distance", 1) + gmsh.model.mesh.field.setNumbers(1, "CurvesList", inner_lines) + gmsh.model.mesh.field.add("Threshold", 2) + gmsh.model.mesh.field.setNumber(2, "InField", 1) + gmsh.model.mesh.field.setNumber(2, "SizeMin", mesh_size_fine) + gmsh.model.mesh.field.setNumber(2, "SizeMax", mesh_size_medium) + gmsh.model.mesh.field.setNumber(2, "DistMin", 0.3) + gmsh.model.mesh.field.setNumber(2, "DistMax", 1.5) + + gmsh.model.mesh.field.add("Distance", 3) + gmsh.model.mesh.field.setNumbers(3, "CurvesList", outer_lines) + gmsh.model.mesh.field.add("Threshold", 4) + gmsh.model.mesh.field.setNumber(4, "InField", 3) + gmsh.model.mesh.field.setNumber(4, "SizeMin", mesh_size_medium) + gmsh.model.mesh.field.setNumber(4, "SizeMax", mesh_size_coarse) + gmsh.model.mesh.field.setNumber(4, "DistMin", 0.5) + gmsh.model.mesh.field.setNumber(4, "DistMax", 3.0) + + gmsh.model.mesh.field.add("Constant", 6) + gmsh.model.mesh.field.setNumber(6, "VIn", mesh_size_coarse) + gmsh.model.mesh.field.setNumber(6, "VOut", mesh_size_coarse) + gmsh.model.mesh.field.setNumbers(6, "SurfacesList", cube_surfaces) + + gmsh.model.mesh.field.add("Min", 5) + gmsh.model.mesh.field.setNumbers(5, "FieldsList", [2, 4]) + gmsh.model.mesh.field.add("Max", 7) + gmsh.model.mesh.field.setNumbers(7, "FieldsList", [5, 6]) + gmsh.model.mesh.field.setAsBackgroundMesh(7) + + gmsh.model.addPhysicalGroup(3, [volume], 1, "domain") + gmsh.model.addPhysicalGroup(2, [cube_surfaces[1]], 2, "cube_wall_m_xy") + gmsh.model.addPhysicalGroup(2, [cube_surfaces[2]], 3, "cube_wall_p_xy") + gmsh.model.addPhysicalGroup(2, [cube_surfaces[3]], 4, "cube_wall_m_xz") + gmsh.model.addPhysicalGroup(2, [cube_surfaces[4]], 5, "cube_wall_p_yz") + gmsh.model.addPhysicalGroup(2, [cube_surfaces[5]], 6, "cube_wall_p_xz") + gmsh.model.addPhysicalGroup(2, [cube_surfaces[6]], 7, "cube_wall_m_yz") + gmsh.model.addPhysicalGroup(2, [disk_surface], 8, "film_surface") + gmsh.model.addPhysicalGroup(2, [hole_surface], 9, "hole_surface") + + gmsh.option.setNumber("Mesh.Binary", 1) + gmsh.option.setNumber("Mesh.Algorithm", 6) + gmsh.option.setNumber("Mesh.Algorithm3D", 1) + gmsh.model.mesh.removeDuplicateNodes() + gmsh.model.mesh.generate(3) + gmsh.write(filename) + + println("Generated mesh: ", filename) + println(" hole = ", dx, " x ", dy, ", border W = ", W) + println(" outer film = ", dx + 2W, " x ", dy + 2W, ", box = ", L_outer) + println("Domain: 1 Box walls: 2-7 Film: 8 Hole: 9") + + gui && gmsh.fltk.run() + return gmsh.finalize() +end diff --git a/examples/circular_hole/mesh/square_hole.msh b/examples/circular_hole/mesh/square_hole.msh new file mode 100644 index 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zPVKRPIlMi`ggAemXHMyI@>&Ny-pl45Wld|s_|#_%`pm)IE8%2hAK`D@%{Qm_Z?h=Z zLXLc2wji90?756XkGIg=SG2|Gt^fWF(6T7stKr&EHrYkAp~rj8oZiE057uuN^8TH# zhm(=bbz_manePX2D%+~d6;PHiZc z@jfu8bUDS%cpsX3jXo>HOZSnvLOl8H7!O{)73TDt~bK_Xoo}kh8qAri|>h1SMI2qY8;=22@vt!V>951d$X*rWZ=JbcnTrLN z@xBRH$T#DCYi&-t-FoX7Nd-Af{U+u%*ewEBAT~7Y{s7GaU zXR?;PNIga~$NN$jk5?s}jO;gz8+TRB^`w0(k!Qn-?CBitio-P`U2X$=n7a~lN|#gI zj91Ov`RoOIB!)11=ffQtR=^& z`sK^FbvPN>1svXfb*KfvPb8Z-MVz|(xZ2;(*FZp CV;&O# literal 0 HcmV?d00001 diff --git a/examples/circular_hole/mesh/square_hole_mesh.jl b/examples/circular_hole/mesh/square_hole_mesh.jl new file mode 100644 index 00000000000..c9cd114a172 --- /dev/null +++ b/examples/circular_hole/mesh/square_hole_mesh.jl @@ -0,0 +1,207 @@ +# Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. +# SPDX-License-Identifier: Apache-2.0 + +using Gmsh: gmsh + +""" + generate_square_hole_mesh(; + filename::AbstractString = "square_hole.msh", + d::Real = 2.0, + W::Real = 2.0, + L_outer::Real = 18.0, + mesh_size_coarse::Real = 2.0, + mesh_size_medium::Real = 0.4, + mesh_size_fine::Real = 0.15, + verbose::Integer = 5, + gui::Bool = false + ) + +Generate a mesh for a square superconducting film with a central square hole +(Khapaev 1997, Supercond. Sci. Technol. 10 389, figure 2). The hole has side `d`; +the surrounding film border has width `W`, so the outer film side is `d + 2W`. +Attribute scheme matches circular_hole: domain=1, box walls=2-7, film=8, hole=9. + +# Arguments + + - filename - output mesh filename + - d - side length of the central square hole + - W - width of the film border surrounding the hole (outer film side = d + 2W) + - L_outer - outer computational box size + - mesh_size_coarse - mesh size on the box walls + - mesh_size_medium - mesh size on the film + - mesh_size_fine - mesh size near the hole edges + - verbose - Gmsh verbosity level + - gui - whether to launch the Gmsh GUI +""" +function generate_square_hole_mesh(; + filename::AbstractString="square_hole.msh", + d::Real=2.0, + W::Real=2.0, + L_outer::Real=18.0, + mesh_size_coarse::Real=2.0, + mesh_size_medium::Real=0.4, + mesh_size_fine::Real=0.15, + verbose::Integer=5, + gui::Bool=false +) + + # Initialize Gmsh + gmsh.initialize() + gmsh.option.setNumber("General.Verbosity", verbose) + gmsh.model.add("square_hole") + + # Set MSH file format version to 2.2 + gmsh.option.setNumber("Mesh.MshFileVersion", 2.2) + + # Center point + cx, cy, cz = 0.5, 0.5, 0.5 + + # Half-sides + hole_h = d / 2 + film_h = d / 2 + W + + # Create cube vertices + cube_pts = [ + gmsh.model.geo.addPoint(cx - L_outer / 2, cy - L_outer / 2, cz - L_outer / 2, mesh_size_coarse), + gmsh.model.geo.addPoint(cx + L_outer / 2, cy - L_outer / 2, cz - L_outer / 2, mesh_size_coarse), + gmsh.model.geo.addPoint(cx + L_outer / 2, cy + L_outer / 2, cz - L_outer / 2, mesh_size_coarse), + gmsh.model.geo.addPoint(cx - L_outer / 2, cy + L_outer / 2, cz - L_outer / 2, mesh_size_coarse), + gmsh.model.geo.addPoint(cx - L_outer / 2, cy - L_outer / 2, cz + L_outer / 2, mesh_size_coarse), + gmsh.model.geo.addPoint(cx + L_outer / 2, cy - L_outer / 2, cz + L_outer / 2, mesh_size_coarse), + gmsh.model.geo.addPoint(cx + L_outer / 2, cy + L_outer / 2, cz + L_outer / 2, mesh_size_coarse), + gmsh.model.geo.addPoint(cx - L_outer / 2, cy + L_outer / 2, cz + L_outer / 2, mesh_size_coarse) + ] + + # Outer film square corners (counter-clockwise) + outer_pts = [ + gmsh.model.geo.addPoint(cx - film_h, cy - film_h, cz, mesh_size_medium), + gmsh.model.geo.addPoint(cx + film_h, cy - film_h, cz, mesh_size_medium), + gmsh.model.geo.addPoint(cx + film_h, cy + film_h, cz, mesh_size_medium), + gmsh.model.geo.addPoint(cx - film_h, cy + film_h, cz, mesh_size_medium) + ] + # Inner hole square corners (counter-clockwise) + inner_pts = [ + gmsh.model.geo.addPoint(cx - hole_h, cy - hole_h, cz, mesh_size_fine), + gmsh.model.geo.addPoint(cx + hole_h, cy - hole_h, cz, mesh_size_fine), + gmsh.model.geo.addPoint(cx + hole_h, cy + hole_h, cz, mesh_size_fine), + gmsh.model.geo.addPoint(cx - hole_h, cy + hole_h, cz, mesh_size_fine) + ] + + # Create cube edges + cube_lines = [ + gmsh.model.geo.addLine(cube_pts[1], cube_pts[2]), + gmsh.model.geo.addLine(cube_pts[2], cube_pts[3]), + gmsh.model.geo.addLine(cube_pts[3], cube_pts[4]), + gmsh.model.geo.addLine(cube_pts[4], cube_pts[1]), + gmsh.model.geo.addLine(cube_pts[5], cube_pts[6]), + gmsh.model.geo.addLine(cube_pts[6], cube_pts[7]), + gmsh.model.geo.addLine(cube_pts[7], cube_pts[8]), + gmsh.model.geo.addLine(cube_pts[8], cube_pts[5]), + gmsh.model.geo.addLine(cube_pts[1], cube_pts[5]), + gmsh.model.geo.addLine(cube_pts[2], cube_pts[6]), + gmsh.model.geo.addLine(cube_pts[3], cube_pts[7]), + gmsh.model.geo.addLine(cube_pts[4], cube_pts[8]) + ] + + # Square edges (film outer boundary and hole boundary) + outer_lines = [ + gmsh.model.geo.addLine(outer_pts[1], outer_pts[2]), + gmsh.model.geo.addLine(outer_pts[2], outer_pts[3]), + gmsh.model.geo.addLine(outer_pts[3], outer_pts[4]), + gmsh.model.geo.addLine(outer_pts[4], outer_pts[1]) + ] + inner_lines = [ + gmsh.model.geo.addLine(inner_pts[1], inner_pts[2]), + gmsh.model.geo.addLine(inner_pts[2], inner_pts[3]), + gmsh.model.geo.addLine(inner_pts[3], inner_pts[4]), + gmsh.model.geo.addLine(inner_pts[4], inner_pts[1]) + ] + + # Create curve loops and surfaces + outer_loop = gmsh.model.geo.addCurveLoop(outer_lines) + inner_loop = gmsh.model.geo.addCurveLoop(inner_lines) + disk_surface = gmsh.model.geo.addPlaneSurface([outer_loop, inner_loop]) + hole_surface = gmsh.model.geo.addPlaneSurface([inner_loop]) + + # Create cube surfaces + cube_loops = [ + gmsh.model.geo.addCurveLoop([cube_lines[1], cube_lines[2], cube_lines[3], cube_lines[4]]), + gmsh.model.geo.addCurveLoop([cube_lines[5], cube_lines[6], cube_lines[7], cube_lines[8]]), + gmsh.model.geo.addCurveLoop([cube_lines[9], cube_lines[5], -cube_lines[10], -cube_lines[1]]), + gmsh.model.geo.addCurveLoop([cube_lines[10], cube_lines[6], -cube_lines[11], -cube_lines[2]]), + gmsh.model.geo.addCurveLoop([cube_lines[11], cube_lines[7], -cube_lines[12], -cube_lines[3]]), + gmsh.model.geo.addCurveLoop([cube_lines[12], cube_lines[8], -cube_lines[9], -cube_lines[4]]) + ] + cube_surfaces = [gmsh.model.geo.addPlaneSurface([loop]) for loop in cube_loops] + + # Create volume + surface_loop = + gmsh.model.geo.addSurfaceLoop([cube_surfaces..., disk_surface, hole_surface]) + volume = gmsh.model.geo.addVolume([surface_loop]) + + # Synchronize geometry + gmsh.model.geo.synchronize() + + # Mesh size fields: fine near hole edges, medium on film, coarse toward box + gmsh.model.mesh.field.add("Distance", 1) + gmsh.model.mesh.field.setNumbers(1, "CurvesList", inner_lines) + + gmsh.model.mesh.field.add("Threshold", 2) + gmsh.model.mesh.field.setNumber(2, "InField", 1) + gmsh.model.mesh.field.setNumber(2, "SizeMin", mesh_size_fine) + gmsh.model.mesh.field.setNumber(2, "SizeMax", mesh_size_medium) + gmsh.model.mesh.field.setNumber(2, "DistMin", 0.2) + gmsh.model.mesh.field.setNumber(2, "DistMax", 1.0) + + gmsh.model.mesh.field.add("Distance", 3) + gmsh.model.mesh.field.setNumbers(3, "CurvesList", outer_lines) + + gmsh.model.mesh.field.add("Threshold", 4) + gmsh.model.mesh.field.setNumber(4, "InField", 3) + gmsh.model.mesh.field.setNumber(4, "SizeMin", mesh_size_medium) + gmsh.model.mesh.field.setNumber(4, "SizeMax", mesh_size_coarse) + gmsh.model.mesh.field.setNumber(4, "DistMin", 0.5) + gmsh.model.mesh.field.setNumber(4, "DistMax", 2.5) + + gmsh.model.mesh.field.add("Constant", 6) + gmsh.model.mesh.field.setNumber(6, "VIn", mesh_size_coarse) + gmsh.model.mesh.field.setNumber(6, "VOut", mesh_size_coarse) + gmsh.model.mesh.field.setNumbers(6, "SurfacesList", cube_surfaces) + + gmsh.model.mesh.field.add("Min", 5) + gmsh.model.mesh.field.setNumbers(5, "FieldsList", [2, 4]) + + gmsh.model.mesh.field.add("Max", 7) + gmsh.model.mesh.field.setNumbers(7, "FieldsList", [5, 6]) + gmsh.model.mesh.field.setAsBackgroundMesh(7) + + # Physical groups (match circular_hole) + gmsh.model.addPhysicalGroup(3, [volume], 1, "domain") + gmsh.model.addPhysicalGroup(2, [cube_surfaces[1]], 2, "cube_wall_m_xy") + gmsh.model.addPhysicalGroup(2, [cube_surfaces[2]], 3, "cube_wall_p_xy") + gmsh.model.addPhysicalGroup(2, [cube_surfaces[3]], 4, "cube_wall_m_xz") + gmsh.model.addPhysicalGroup(2, [cube_surfaces[4]], 5, "cube_wall_p_yz") + gmsh.model.addPhysicalGroup(2, [cube_surfaces[5]], 6, "cube_wall_p_xz") + gmsh.model.addPhysicalGroup(2, [cube_surfaces[6]], 7, "cube_wall_m_yz") + gmsh.model.addPhysicalGroup(2, [disk_surface], 8, "film_surface") + gmsh.model.addPhysicalGroup(2, [hole_surface], 9, "hole_surface") + + # Generate mesh + gmsh.option.setNumber("Mesh.Binary", 1) + gmsh.option.setNumber("Mesh.Algorithm", 6) + gmsh.option.setNumber("Mesh.Algorithm3D", 1) + gmsh.model.mesh.removeDuplicateNodes() + gmsh.model.mesh.generate(3) + gmsh.write(filename) + + println("Generated mesh: ", filename) + println(" hole side d = ", d, ", border W = ", W, ", W/d = ", W / d) + println(" outer film side = ", d + 2 * W, ", box = ", L_outer) + println("Domain: 1 Box walls: 2-7 Film: 8 Hole: 9") + + if gui + gmsh.fltk.run() + end + + return gmsh.finalize() +end diff --git a/examples/circular_hole/double_circular_hole.json b/examples/circular_hole/square_hole.json similarity index 70% rename from examples/circular_hole/double_circular_hole.json rename to examples/circular_hole/square_hole.json index 2ec2668bb11..411e27083ea 100644 --- a/examples/circular_hole/double_circular_hole.json +++ b/examples/circular_hole/square_hole.json @@ -3,11 +3,11 @@ { "Type": "Magnetostatic", "Verbose": 2, - "Output": "postpro" + "Output": "postpro_square" }, "Model": { - "Mesh": "mesh/sheet_w_two_holes.msh", + "Mesh": "mesh/square_hole.msh", "L0": 1.0e-6 // μm }, "Domains": @@ -21,13 +21,6 @@ ], "Postprocessing": { - "Probe": - [ - { - "Index": 1, - "Center": [-2.5, 0.0, 0.0] - } - ], "Energy": [ { @@ -47,9 +40,9 @@ [ { "Index": 1, - "FluxLoopPEC": [8], - "HoleAttributes": [9, 10], - "FluxAmounts": [1.0, -1.0], // nondimensional flux-loop excitation amplitude + "FluxLoopPEC": [8], // λ→0 washer: auto-routed through the range-space two-solve + "HoleAttributes": [9], + "FluxAmounts": [1.0], // nondimensional flux-loop excitation amplitude "Direction": "+Z" } ] From a7dd63378d0c4deb3d9e7c6b1dbe9031c927ced0 Mon Sep 17 00:00:00 2001 From: Dzung Pham Date: Wed, 2 Sep 2026 13:27:28 -0700 Subject: [PATCH 11/27] Add London hole regression cases and replace circular with square washer --- .../input/circular_hole/circular_hole.json | 1 - .../circular_hole_london/circular_hole.json | 74 +++++++++++++++++ .../mesh/circular_hole.msh | 0 .../input/double_hole_london/double_hole.json | 81 +++++++++++++++++++ .../mesh/sheet_w_two_holes.msh | 1 + .../input/square_hole/mesh/square_hole.msh | 1 + .../input/square_hole/square_hole.json | 66 +++++++++++++++ .../regression/ref/circular_hole/probe-B.csv | 2 - .../domain-E.csv | 2 +- .../error-indicators.csv | 2 +- .../terminal-M.csv | 2 +- .../terminal-Minv.csv | 2 +- .../terminal-Mm.csv | 2 +- .../terminal-Phi.csv | 0 .../ref/double_hole_london/domain-E.csv | 3 + .../double_hole_london/error-indicators.csv | 2 + .../ref/double_hole_london/terminal-M.csv | 3 + .../ref/double_hole_london/terminal-Minv.csv | 3 + .../ref/double_hole_london/terminal-Mm.csv | 3 + .../ref/double_hole_london/terminal-Phi.csv | 3 + .../regression/ref/square_hole/domain-E.csv | 2 + .../ref/square_hole/error-indicators.csv | 2 + .../regression/ref/square_hole/terminal-M.csv | 2 + .../ref/square_hole/terminal-Minv.csv | 2 + .../ref/square_hole/terminal-Mm.csv | 2 + .../ref/square_hole/terminal-Phi.csv | 2 + test/unit/regression/cases.cpp | 36 ++++++++- 27 files changed, 291 insertions(+), 10 deletions(-) delete mode 120000 test/data/regression/input/circular_hole/circular_hole.json create mode 100644 test/data/regression/input/circular_hole_london/circular_hole.json rename test/data/regression/input/{circular_hole => circular_hole_london}/mesh/circular_hole.msh (100%) create mode 100644 test/data/regression/input/double_hole_london/double_hole.json create mode 120000 test/data/regression/input/double_hole_london/mesh/sheet_w_two_holes.msh create mode 120000 test/data/regression/input/square_hole/mesh/square_hole.msh create mode 100644 test/data/regression/input/square_hole/square_hole.json delete mode 100644 test/data/regression/ref/circular_hole/probe-B.csv rename test/data/regression/ref/{circular_hole => circular_hole_london}/domain-E.csv (50%) rename test/data/regression/ref/{circular_hole => circular_hole_london}/error-indicators.csv (50%) rename test/data/regression/ref/{circular_hole => circular_hole_london}/terminal-M.csv (50%) rename test/data/regression/ref/{circular_hole => circular_hole_london}/terminal-Minv.csv (51%) rename test/data/regression/ref/{circular_hole => circular_hole_london}/terminal-Mm.csv (50%) rename test/data/regression/ref/{circular_hole => circular_hole_london}/terminal-Phi.csv (100%) create mode 100644 test/data/regression/ref/double_hole_london/domain-E.csv create mode 100644 test/data/regression/ref/double_hole_london/error-indicators.csv create mode 100644 test/data/regression/ref/double_hole_london/terminal-M.csv create mode 100644 test/data/regression/ref/double_hole_london/terminal-Minv.csv create mode 100644 test/data/regression/ref/double_hole_london/terminal-Mm.csv create mode 100644 test/data/regression/ref/double_hole_london/terminal-Phi.csv create mode 100644 test/data/regression/ref/square_hole/domain-E.csv create mode 100644 test/data/regression/ref/square_hole/error-indicators.csv create mode 100644 test/data/regression/ref/square_hole/terminal-M.csv create mode 100644 test/data/regression/ref/square_hole/terminal-Minv.csv create mode 100644 test/data/regression/ref/square_hole/terminal-Mm.csv create mode 100644 test/data/regression/ref/square_hole/terminal-Phi.csv diff --git a/test/data/regression/input/circular_hole/circular_hole.json b/test/data/regression/input/circular_hole/circular_hole.json deleted file mode 120000 index bc7650164c4..00000000000 --- a/test/data/regression/input/circular_hole/circular_hole.json +++ /dev/null @@ -1 +0,0 @@ -../../../../../examples/circular_hole/circular_hole.json \ No newline at end of file diff --git a/test/data/regression/input/circular_hole_london/circular_hole.json b/test/data/regression/input/circular_hole_london/circular_hole.json new file mode 100644 index 00000000000..9db15fd45a6 --- /dev/null +++ b/test/data/regression/input/circular_hole_london/circular_hole.json @@ -0,0 +1,74 @@ +{ + "Problem": + { + "Type": "Magnetostatic", + "Verbose": 2, + "Output": "postpro" + }, + "Model": + { + "Mesh": "mesh/circular_hole.msh", + "L0": 1.0e-6 // μm + }, + "Domains": + { + "Materials": + [ + { + "Attributes": [1], + "Permeability": 1.0 + } + ], + "Postprocessing": + { + "Energy": + [ + { + "Index": 1, + "Attributes": [1] + } + ] + } + }, + "Boundaries": + { + "PEC": + { + "Attributes": [2, 3, 4, 5, 6, 7] + }, + "Superconductor": + [ + { + "Attributes": [8], // London film: total (geometric + kinetic) inductance + "PenetrationDepth": 0.4, // λ (μm); L_ksq = μ₀ λ² / d + "Thickness": 0.1 // d (μm) + } + ], + "FluxLoop": + [ + { + "Index": 1, + "FluxLoopPEC": [8], + "HoleAttributes": [9], + "FluxAmounts": [1.0], + "Direction": "+Z" + } + ] + }, + "Solver": + { + "Order": 2, + "Device": "CPU", + "Magnetostatic": + { + "Save": 0 + }, + "Linear": + { + "Type": "AMS", + "KSPType": "CG", + "Tol": 1.0e-8, + "MaxIts": 200 + } + } +} diff --git a/test/data/regression/input/circular_hole/mesh/circular_hole.msh b/test/data/regression/input/circular_hole_london/mesh/circular_hole.msh similarity index 100% rename from test/data/regression/input/circular_hole/mesh/circular_hole.msh rename to test/data/regression/input/circular_hole_london/mesh/circular_hole.msh diff --git a/test/data/regression/input/double_hole_london/double_hole.json b/test/data/regression/input/double_hole_london/double_hole.json new file mode 100644 index 00000000000..62941606da6 --- /dev/null +++ b/test/data/regression/input/double_hole_london/double_hole.json @@ -0,0 +1,81 @@ +{ + "Problem": + { + "Type": "Magnetostatic", + "Verbose": 2, + "Output": "postpro" + }, + "Model": + { + "Mesh": "mesh/sheet_w_two_holes.msh", + "L0": 1.0e-6 // μm + }, + "Domains": + { + "Materials": + [ + { + "Attributes": [1], + "Permeability": 1.0 + } + ], + "Postprocessing": + { + "Energy": + [ + { + "Index": 1, + "Attributes": [1] + } + ] + } + }, + "Boundaries": + { + "PEC": + { + "Attributes": [2, 3, 4, 5, 6, 7] + }, + "Superconductor": + [ + { + "Attributes": [8], // shared London film carrying both holes + "PenetrationDepth": 0.4, // λ (μm); L_ksq = μ₀ λ² / d + "Thickness": 0.1 // d (μm) + } + ], + "FluxLoop": + [ + { + "Index": 1, + "FluxLoopPEC": [8], + "HoleAttributes": [9], + "FluxAmounts": [1.0], + "Direction": [0.0, 0.0, 1.0] + }, + { + "Index": 2, + "FluxLoopPEC": [8], + "HoleAttributes": [10], + "FluxAmounts": [1.0], + "Direction": [0.0, 0.0, 1.0] + } + ] + }, + "Solver": + { + "Order": 2, + "Device": "CPU", + "Magnetostatic": + { + "Save": 0 + }, + "Linear": + { + "Type": "AMS", + "KSPType": "CG", + "Tol": 1.0e-8, + "MaxIts": 200 + } + } +} diff --git a/test/data/regression/input/double_hole_london/mesh/sheet_w_two_holes.msh b/test/data/regression/input/double_hole_london/mesh/sheet_w_two_holes.msh new file mode 120000 index 00000000000..aa248110cd5 --- /dev/null +++ b/test/data/regression/input/double_hole_london/mesh/sheet_w_two_holes.msh @@ -0,0 +1 @@ +../../../../../../examples/circular_hole/mesh/sheet_w_two_holes.msh \ No newline at end of file diff --git a/test/data/regression/input/square_hole/mesh/square_hole.msh b/test/data/regression/input/square_hole/mesh/square_hole.msh new file mode 120000 index 00000000000..28e2176a418 --- /dev/null +++ b/test/data/regression/input/square_hole/mesh/square_hole.msh @@ -0,0 +1 @@ +../../../../../../examples/circular_hole/mesh/square_hole.msh \ No newline at end of file diff --git a/test/data/regression/input/square_hole/square_hole.json b/test/data/regression/input/square_hole/square_hole.json new file mode 100644 index 00000000000..29fe346b0ef --- /dev/null +++ b/test/data/regression/input/square_hole/square_hole.json @@ -0,0 +1,66 @@ +{ + "Problem": + { + "Type": "Magnetostatic", + "Verbose": 2, + "Output": "postpro" + }, + "Model": + { + "Mesh": "mesh/square_hole.msh", + "L0": 1.0e-6 // μm + }, + "Domains": + { + "Materials": + [ + { + "Attributes": [1], + "Permeability": 1.0 + } + ], + "Postprocessing": + { + "Energy": + [ + { + "Index": 1, + "Attributes": [1] + } + ] + } + }, + "Boundaries": + { + "PEC": + { + "Attributes": [2, 3, 4, 5, 6, 7] + }, + "FluxLoop": + [ + { + "Index": 1, + "FluxLoopPEC": [8], + "HoleAttributes": [9], + "FluxAmounts": [1.0], + "Direction": "+Z" + } + ] + }, + "Solver": + { + "Order": 2, + "Device": "CPU", + "Magnetostatic": + { + "Save": 0 + }, + "Linear": + { + "Type": "AMS", + "KSPType": "CG", + "Tol": 1.0e-8, + "MaxIts": 200 + } + } +} diff --git a/test/data/regression/ref/circular_hole/probe-B.csv b/test/data/regression/ref/circular_hole/probe-B.csv deleted file mode 100644 index 84901940ee3..00000000000 --- a/test/data/regression/ref/circular_hole/probe-B.csv +++ /dev/null @@ -1,2 +0,0 @@ - i, B_x[1] (Wb/m²), B_y[1] (Wb/m²), B_z[1] (Wb/m²) - 1.00e+00, +1.369318513173e-02, +1.340715165767e-02, +1.957935845706e-02 diff --git a/test/data/regression/ref/circular_hole/domain-E.csv b/test/data/regression/ref/circular_hole_london/domain-E.csv similarity index 50% rename from test/data/regression/ref/circular_hole/domain-E.csv rename to test/data/regression/ref/circular_hole_london/domain-E.csv index 8681a069134..c961c400dc0 100644 --- a/test/data/regression/ref/circular_hole/domain-E.csv +++ b/test/data/regression/ref/circular_hole_london/domain-E.csv @@ -1,2 +1,2 @@ i, E_elec (J), E_mag (J), E_cap (J), E_ind (J), E_elec[1] (J), p_elec[1], E_mag[1] (J), p_mag[1] - 1.00e+00, +0.000000000000e+00, +2.353616829245e-13, +0.000000000000e+00, +0.000000000000e+00, +0.000000000000e+00, +0.000000000000e+00, +2.353616829245e-13, +1.000000000000e+00 + 1.00e+00, +0.000000000000e+00, +3.271729944793e-12, +0.000000000000e+00, +0.000000000000e+00, +0.000000000000e+00, +0.000000000000e+00, +7.718277687669e-14, +2.359081531149e-02 diff --git a/test/data/regression/ref/circular_hole/error-indicators.csv b/test/data/regression/ref/circular_hole_london/error-indicators.csv similarity index 50% rename from test/data/regression/ref/circular_hole/error-indicators.csv rename to test/data/regression/ref/circular_hole_london/error-indicators.csv index 984a674fc21..91277288c85 100644 --- a/test/data/regression/ref/circular_hole/error-indicators.csv +++ b/test/data/regression/ref/circular_hole_london/error-indicators.csv @@ -1,2 +1,2 @@ Norm, Minimum, Maximum, Mean - +8.286921838633e-01, +5.702280116586e-09, +6.897379835681e-02, +8.002235145219e-04 + +6.391649303858e-02, +4.973362452687e-08, +4.296146416136e-03, +8.936917332724e-05 diff --git a/test/data/regression/ref/circular_hole/terminal-M.csv b/test/data/regression/ref/circular_hole_london/terminal-M.csv similarity index 50% rename from test/data/regression/ref/circular_hole/terminal-M.csv rename to test/data/regression/ref/circular_hole_london/terminal-M.csv index 3f64800598c..6e6d98ebbb1 100644 --- a/test/data/regression/ref/circular_hole/terminal-M.csv +++ b/test/data/regression/ref/circular_hole_london/terminal-M.csv @@ -1,2 +1,2 @@ i, M[i][1] (H) - 1.00e+00, +2.003576470126e-12 + 1.00e+00, +5.156831480659e-12 diff --git a/test/data/regression/ref/circular_hole/terminal-Minv.csv b/test/data/regression/ref/circular_hole_london/terminal-Minv.csv similarity index 51% rename from test/data/regression/ref/circular_hole/terminal-Minv.csv rename to test/data/regression/ref/circular_hole_london/terminal-Minv.csv index adc20b4f925..ea292fee922 100644 --- a/test/data/regression/ref/circular_hole/terminal-Minv.csv +++ b/test/data/regression/ref/circular_hole_london/terminal-Minv.csv @@ -1,2 +1,2 @@ i, M⁻¹[i][1] (1/H) - 1.00e+00, +4.991074785067e+11 + 1.00e+00, +1.939175254709e+11 diff --git a/test/data/regression/ref/circular_hole/terminal-Mm.csv b/test/data/regression/ref/circular_hole_london/terminal-Mm.csv similarity index 50% rename from test/data/regression/ref/circular_hole/terminal-Mm.csv rename to test/data/regression/ref/circular_hole_london/terminal-Mm.csv index c0b0fb5aae1..ab8bed4e851 100644 --- a/test/data/regression/ref/circular_hole/terminal-Mm.csv +++ b/test/data/regression/ref/circular_hole_london/terminal-Mm.csv @@ -1,2 +1,2 @@ i, M_m[i][1] (H) - 1.00e+00, +2.003576470126e-12 + 1.00e+00, +5.156831480659e-12 diff --git a/test/data/regression/ref/circular_hole/terminal-Phi.csv b/test/data/regression/ref/circular_hole_london/terminal-Phi.csv similarity index 100% rename from test/data/regression/ref/circular_hole/terminal-Phi.csv rename to test/data/regression/ref/circular_hole_london/terminal-Phi.csv diff --git a/test/data/regression/ref/double_hole_london/domain-E.csv b/test/data/regression/ref/double_hole_london/domain-E.csv new file mode 100644 index 00000000000..0af6c0ba7fa --- /dev/null +++ b/test/data/regression/ref/double_hole_london/domain-E.csv @@ -0,0 +1,3 @@ + i, E_elec (J), E_mag (J), E_cap (J), E_ind (J), E_elec[1] (J), p_elec[1], E_mag[1] (J), p_mag[1] + 1.00e+00, +0.000000000000e+00, +3.868939407129e-12, +0.000000000000e+00, +0.000000000000e+00, +0.000000000000e+00, +0.000000000000e+00, +1.595566969740e-13, +4.124042280940e-02 + 2.00e+00, +0.000000000000e+00, +4.188185509739e-12, +0.000000000000e+00, +0.000000000000e+00, +0.000000000000e+00, +0.000000000000e+00, +1.600292799982e-13, +3.820969238971e-02 diff --git a/test/data/regression/ref/double_hole_london/error-indicators.csv b/test/data/regression/ref/double_hole_london/error-indicators.csv new file mode 100644 index 00000000000..0cf87402a41 --- /dev/null +++ b/test/data/regression/ref/double_hole_london/error-indicators.csv @@ -0,0 +1,2 @@ + Norm, Minimum, Maximum, Mean + +8.868337520705e-02, +8.437839681572e-08, +6.131262556550e-03, +1.281606781125e-04 diff --git a/test/data/regression/ref/double_hole_london/terminal-M.csv b/test/data/regression/ref/double_hole_london/terminal-M.csv new file mode 100644 index 00000000000..edec1d20998 --- /dev/null +++ b/test/data/regression/ref/double_hole_london/terminal-M.csv @@ -0,0 +1,3 @@ + i, M[i][1] (H), M[i][2] (H) + 1.00e+00, +4.509642644183e-12, -1.358696626774e-13 + 2.00e+00, -1.358696626774e-13, +4.499596059210e-12 diff --git a/test/data/regression/ref/double_hole_london/terminal-Minv.csv b/test/data/regression/ref/double_hole_london/terminal-Minv.csv new file mode 100644 index 00000000000..67f37e78656 --- /dev/null +++ b/test/data/regression/ref/double_hole_london/terminal-Minv.csv @@ -0,0 +1,3 @@ + i, M⁻¹[i][1] (1/H), M⁻¹[i][2] (1/H) + 1.00e+00, +2.219489819120e+11, +6.701964555740e+09 + 2.00e+00, +6.701964555740e+09, +2.224445440196e+11 diff --git a/test/data/regression/ref/double_hole_london/terminal-Mm.csv b/test/data/regression/ref/double_hole_london/terminal-Mm.csv new file mode 100644 index 00000000000..c3a6fb9d829 --- /dev/null +++ b/test/data/regression/ref/double_hole_london/terminal-Mm.csv @@ -0,0 +1,3 @@ + i, M_m[i][1] (H), M_m[i][2] (H) + 1.00e+00, +4.373772981505e-12, +1.358696626774e-13 + 2.00e+00, +1.358696626774e-13, +4.363726396532e-12 diff --git a/test/data/regression/ref/double_hole_london/terminal-Phi.csv b/test/data/regression/ref/double_hole_london/terminal-Phi.csv new file mode 100644 index 00000000000..078bfad3253 --- /dev/null +++ b/test/data/regression/ref/double_hole_london/terminal-Phi.csv @@ -0,0 +1,3 @@ + i, Phi_inc[i] (Wb) + 1.00e+00, +1.294865250650e-12 + 2.00e+00, +1.294865250650e-12 diff --git a/test/data/regression/ref/square_hole/domain-E.csv b/test/data/regression/ref/square_hole/domain-E.csv new file mode 100644 index 00000000000..7f7341e1728 --- /dev/null +++ b/test/data/regression/ref/square_hole/domain-E.csv @@ -0,0 +1,2 @@ + i, E_elec (J), E_mag (J), E_cap (J), E_ind (J), E_elec[1] (J), p_elec[1], E_mag[1] (J), p_mag[1] + 1.00e+00, +0.000000000000e+00, +3.242255641169e-07, +0.000000000000e+00, +0.000000000000e+00, +0.000000000000e+00, +0.000000000000e+00, +4.015177376904e-13, +1.238390127515e-06 diff --git a/test/data/regression/ref/square_hole/error-indicators.csv b/test/data/regression/ref/square_hole/error-indicators.csv new file mode 100644 index 00000000000..1943771d9fc --- /dev/null +++ b/test/data/regression/ref/square_hole/error-indicators.csv @@ -0,0 +1,2 @@ + Norm, Minimum, Maximum, Mean + +1.949000249107e-04, +2.950382461840e-09, +1.132394956775e-05, +3.417253400610e-07 diff --git a/test/data/regression/ref/square_hole/terminal-M.csv b/test/data/regression/ref/square_hole/terminal-M.csv new file mode 100644 index 00000000000..d531084df88 --- /dev/null +++ b/test/data/regression/ref/square_hole/terminal-M.csv @@ -0,0 +1,2 @@ + i, M[i][1] (H) + 1.00e+00, +3.005952665826e-12 diff --git a/test/data/regression/ref/square_hole/terminal-Minv.csv b/test/data/regression/ref/square_hole/terminal-Minv.csv new file mode 100644 index 00000000000..18713e02fad --- /dev/null +++ b/test/data/regression/ref/square_hole/terminal-Minv.csv @@ -0,0 +1,2 @@ + i, M⁻¹[i][1] (1/H) + 1.00e+00, +3.326732357994e+11 diff --git a/test/data/regression/ref/square_hole/terminal-Mm.csv b/test/data/regression/ref/square_hole/terminal-Mm.csv new file mode 100644 index 00000000000..55ffb38c838 --- /dev/null +++ b/test/data/regression/ref/square_hole/terminal-Mm.csv @@ -0,0 +1,2 @@ + i, M_m[i][1] (H) + 1.00e+00, +3.005952665826e-12 diff --git a/test/data/regression/ref/square_hole/terminal-Phi.csv b/test/data/regression/ref/square_hole/terminal-Phi.csv new file mode 100644 index 00000000000..da3e932d61f --- /dev/null +++ b/test/data/regression/ref/square_hole/terminal-Phi.csv @@ -0,0 +1,2 @@ + i, Phi_inc[i] (Wb) + 1.00e+00, +1.553838300780e-12 diff --git a/test/unit/regression/cases.cpp b/test/unit/regression/cases.cpp index 7f70b63b116..3e4a249c6ae 100644 --- a/test/unit/regression/cases.cpp +++ b/test/unit/regression/cases.cpp @@ -215,14 +215,46 @@ TEST_CASE("rings_multiring_inactive_ports", "[Serial][Parallel][GPU][Regression] "multiring_inactive_ports", opts); } -TEST_CASE("circular_hole_flux_loop", "[Serial][Parallel][GPU][Regression]") +// Square SQUID washer flux loop. The λ→0 loop inductance is checked against the +// analytic Ketchen-Jaycox washer formula L ≈ 1.25 μ₀ d (d = hole side); here d = 2 μm +// gives L ≈ 3.14 pH, and the extracted value ≈ 3.01 pH is a Ritz lower bound. +TEST_CASE("square_hole_flux_loop", "[Serial][Parallel][GPU][Regression]") { palace::test::RegressionOptions opts; opts.rtol = 1.0e-4; opts.atol = 1.0e-16; opts.excluded_columns = {"Maximum", "Minimum", "Mean"}; + opts.paraview_fields = false; + opts.linear_solver_policy = force_default_solver; + palace::test::RunRegressionCase("square_hole", "square_hole.json", "", opts); +} + +// London flux film (single hole, λ = 0.4 μm, d = 0.1 μm): the interior penetrates, so the +// extracted self-inductance is the total L = L_geom + L_kin. Locks the finite-λ two-solve +// path. +TEST_CASE("circular_hole_london_flux", "[Serial][Parallel][GPU][Regression]") +{ + palace::test::RegressionOptions opts; + opts.rtol = 1.0e-4; + opts.atol = 1.0e-16; + opts.excluded_columns = {"Maximum", "Minimum", "Mean"}; + opts.paraview_fields = false; + opts.linear_solver_policy = force_default_solver; + palace::test::RunRegressionCase("circular_hole_london", "circular_hole.json", "", opts); +} + +// Two London holes on a shared film, each an independent flux loop. Locks the London-London +// off-diagonal cross-energy correction: a bare AᵀM_mag A mutual corrupts the inverted +// selves. +TEST_CASE("double_hole_london_flux", "[Serial][Parallel][GPU][Regression]") +{ + palace::test::RegressionOptions opts; + opts.rtol = 1.0e-4; + opts.atol = 1.0e-16; + opts.excluded_columns = {"Maximum", "Minimum", "Mean"}; + opts.paraview_fields = false; opts.linear_solver_policy = force_default_solver; - palace::test::RunRegressionCase("circular_hole", "circular_hole.json", "", opts); + palace::test::RunRegressionCase("double_hole_london", "double_hole.json", "", opts); } // Mixed current-flux excitation. The aperture integral recovering M[1][2] is From 44920ecbfa74458a4ef65a4da4ce9d25190e2930 Mon Sep 17 00:00:00 2001 From: Dzung Pham Date: Wed, 2 Sep 2026 13:27:28 -0700 Subject: [PATCH 12/27] Update ring_disk mixed current-flux refs for kinetic inductance --- test/data/regression/ref/ring_disk/domain-E.csv | 4 ++-- test/data/regression/ref/ring_disk/error-indicators.csv | 2 +- test/data/regression/ref/ring_disk/terminal-M.csv | 4 ++-- test/data/regression/ref/ring_disk/terminal-Minv.csv | 4 ++-- test/data/regression/ref/ring_disk/terminal-Mm.csv | 4 ++-- 5 files changed, 9 insertions(+), 9 deletions(-) diff --git a/test/data/regression/ref/ring_disk/domain-E.csv b/test/data/regression/ref/ring_disk/domain-E.csv index 667b3fcb50d..78897d5e1cb 100644 --- a/test/data/regression/ref/ring_disk/domain-E.csv +++ b/test/data/regression/ref/ring_disk/domain-E.csv @@ -1,3 +1,3 @@ i, E_elec (J), E_mag (J), E_cap (J), E_ind (J) - 1.00e+00, +0.000000000000e+00, +9.302678818272e-13, +0.000000000000e+00, +0.000000000000e+00 - 2.00e+00, +0.000000000000e+00, +4.363505806694e-10, +0.000000000000e+00, +0.000000000000e+00 + 1.00e+00, +0.000000000000e+00, +9.302689028617e-13, +0.000000000000e+00, +0.000000000000e+00 + 2.00e+00, +0.000000000000e+00, +9.591880268085e-04, +0.000000000000e+00, +0.000000000000e+00 diff --git a/test/data/regression/ref/ring_disk/error-indicators.csv b/test/data/regression/ref/ring_disk/error-indicators.csv index aedb34ccd3f..37b7ea717c0 100644 --- a/test/data/regression/ref/ring_disk/error-indicators.csv +++ b/test/data/regression/ref/ring_disk/error-indicators.csv @@ -1,2 +1,2 @@ Norm, Minimum, Maximum, Mean - +6.117646757069e-01, +6.764211554532e-08, +6.835815518722e-02, +3.657082585873e-04 + +1.652251001062e-01, +6.764349251893e-08, +4.797628855576e-03, +2.313172456319e-04 diff --git a/test/data/regression/ref/ring_disk/terminal-M.csv b/test/data/regression/ref/ring_disk/terminal-M.csv index 90765765448..e10ae03f555 100644 --- a/test/data/regression/ref/ring_disk/terminal-M.csv +++ b/test/data/regression/ref/ring_disk/terminal-M.csv @@ -1,3 +1,3 @@ i, M[i][1] (H), M[i][2] (H) - 1.00e+00, +7.009202666798e-10, +2.950908491389e-14 - 2.00e+00, +2.950908491389e-14, +1.921248752285e-11 + 1.00e+00, +7.035647976746e-10, +7.972879166258e-12 + 2.00e+00, +7.972879166258e-12, +2.404366202670e-11 diff --git a/test/data/regression/ref/ring_disk/terminal-Minv.csv b/test/data/regression/ref/ring_disk/terminal-Minv.csv index df29767616a..339c1fc7295 100644 --- a/test/data/regression/ref/ring_disk/terminal-Minv.csv +++ b/test/data/regression/ref/ring_disk/terminal-Minv.csv @@ -1,3 +1,3 @@ i, M⁻¹[i][1] (1/H), M⁻¹[i][2] (1/H) - 1.00e+00, +1.426695891389e+09, -2.191308655646e+06 - 2.00e+00, -2.191308655646e+06, +5.204948414276e+10 + 1.00e+00, +1.426694325492e+09, -4.730918880702e+08 + 2.00e+00, -4.730918880702e+08, +4.174787947625e+10 diff --git a/test/data/regression/ref/ring_disk/terminal-Mm.csv b/test/data/regression/ref/ring_disk/terminal-Mm.csv index 2ee143da207..383ba1fc690 100644 --- a/test/data/regression/ref/ring_disk/terminal-Mm.csv +++ b/test/data/regression/ref/ring_disk/terminal-Mm.csv @@ -1,3 +1,3 @@ i, M_m[i][1] (H), M_m[i][2] (H) - 1.00e+00, +7.009497757647e-10, -2.950908491389e-14 - 2.00e+00, -2.950908491389e-14, +1.924199660776e-11 + 1.00e+00, +7.115376768409e-10, -7.972879166258e-12 + 2.00e+00, -7.972879166258e-12, +3.201654119295e-11 From 7ea55cc23f9e303c2171f89fc04d4322cee18f51 Mon Sep 17 00:00:00 2001 From: Dzung Pham Date: Wed, 2 Sep 2026 19:55:06 -0700 Subject: [PATCH 13/27] Make London flux two-solve partition-stable and fail loudly on non-convergence MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit The range-space two-solve for London flux loops reused scratch vectors A_p_london/A_h_london across flux steps without zeroing them. Magnetostatics defaults to a nonzero initial guess, so a stale gradient/near-null-space component intermittently stalled CG on the gauge-singular operator K = K_cc + M_sheet (the fluxoid RHS c = Curlᵀf is marginally conditioned), producing a garbage A_h whose bad energy was injected via α·A_h -> wildly wrong extracted inductance on some MPI partitions. - Zero A_p_london/A_h_london before each solve for a clean, partition- and roundoff-independent start. - Expose KspSolver::GetConverged() and MFEM_VERIFY convergence after both London solves, turning a previously silent wrong answer into a hard error. - Bump ring_disk_mixed_current_flux rtol to 3e-4: its tiny off-diagonal mutual is a difference of large self-scale terms, so normal ~1e-6 partition FP jitter amplifies to ~1.2e-4 via cancellation (not a partitioning bug). --- palace/drivers/magnetostaticsolver.cpp | 14 ++++++++++++++ palace/linalg/ksp.hpp | 3 +++ test/unit/regression/cases.cpp | 5 ++++- 3 files changed, 21 insertions(+), 1 deletion(-) diff --git a/palace/drivers/magnetostaticsolver.cpp b/palace/drivers/magnetostaticsolver.cpp index 5cf92e81c17..455449d5132 100644 --- a/palace/drivers/magnetostaticsolver.cpp +++ b/palace/drivers/magnetostaticsolver.cpp @@ -327,9 +327,23 @@ MagnetostaticSolver::Solve(const std::vector> &mesh) const // current is free to crowd. MFEM_ASSERT(A_p_london.Size() == RHS.Size(), "London scratch vector size mismatch!"); + // Zero the scratch vectors before each solve. Magnetostatics defaults to a nonzero + // initial guess (iodata.cpp), and these vectors are reused across flux steps; a stale + // guess carrying a gradient/near-null-space component intermittently stalls CG on the + // gauge-singular operator K = K_cc + M_sheet (the fluxoid RHS c = Curlᵀf is marginally + // conditioned), producing a garbage A_h whose bad energy is injected via α·A_h. A + // clean zero start makes both solves robust and partition-/roundoff-independent. + A_p_london = 0.0; ksp.Mult(RHS, A_p_london); + MFEM_VERIFY(ksp.GetConverged(), + "London particular-solution solve A_p = K⁻¹b did not converge for flux " + "loop " << idx << "; extracted inductance would be unreliable!"); curlcurl_op.GetFluxConstraintVector(idx, RHS_c_london); + A_h_london = 0.0; ksp.Mult(RHS_c_london, A_h_london); + MFEM_VERIFY(ksp.GetConverged(), + "London fluxoid-mode solve A_h = K⁻¹c did not converge for flux loop " + << idx << "; extracted inductance would be unreliable!"); double phi_p = curlcurl_op.MeasureLondonHoleFlux(idx, A_p_london); double phi_h = curlcurl_op.MeasureLondonHoleFlux(idx, A_h_london); MFEM_VERIFY( diff --git a/palace/linalg/ksp.hpp b/palace/linalg/ksp.hpp index 3691adf2699..c104b213a28 100644 --- a/palace/linalg/ksp.hpp +++ b/palace/linalg/ksp.hpp @@ -67,6 +67,9 @@ class BaseKspSolver int NumTotalMult() const { return ksp_mult; } int NumTotalMultIterations() const { return ksp_mult_it; } + // Whether the most recent Mult converged to the requested tolerance. + bool GetConverged() const { return ksp->GetConverged(); } + // Forward tolerance access to the underlying iterative solver. double GetRelTol() const { return ksp->GetRelTol(); } double GetAbsTol() const { return ksp->GetAbsTol(); } diff --git a/test/unit/regression/cases.cpp b/test/unit/regression/cases.cpp index 3e4a249c6ae..36bed54f089 100644 --- a/test/unit/regression/cases.cpp +++ b/test/unit/regression/cases.cpp @@ -260,10 +260,13 @@ TEST_CASE("double_hole_london_flux", "[Serial][Parallel][GPU][Regression]") // Mixed current-flux excitation. The aperture integral recovering M[1][2] is // reduced over surfaces the partitioner may split, so this case catches a // double-counted contribution. +// +// rtol is 3e-4: the tiny mutual (~8e-12 H) is a difference of large self-scale +// terms, so ~1e-6 partition FP jitter amplifies to ~1.2e-4 via cancellation. TEST_CASE("ring_disk_mixed_current_flux", "[Serial][Parallel][GPU][Regression]") { palace::test::RegressionOptions opts; - opts.rtol = 1.0e-4; + opts.rtol = 3.0e-4; opts.atol = 1.0e-16; opts.excluded_columns = {"Maximum", "Minimum", "Mean"}; opts.linear_solver_policy = force_default_solver; From b5a4197d7777a6152e0595535699bc75febdb9a9 Mon Sep 17 00:00:00 2001 From: Dzung Pham Date: Thu, 3 Sep 2026 20:22:32 -0700 Subject: [PATCH 14/27] Route bare magnetostatic FluxLoopPEC films through the London two-solve square_hole_flux_loop and ring_disk_mixed_current_flux declare a FluxLoopPEC film with no Boundaries.Superconductor block, so they took the whole-film Dirichlet clamp rather than the range-space two-solve, and both FAIL against their committed references at the current branch tip (those references encode the two-solve result). The clamp pins A over the entire film, which is not a gauge-invariant way to impose the fluxoid. - Auto-register any magnetostatic FluxLoopPEC attribute that is not already a Superconductor as the lambda -> 0 London limit: lambda = d = pec_lperp, so L_ksq = mu_0 lambda^2/d = mu_0 pec_lperp. Runs before the ams_singular_op default so the film is seen as a London film. - Add FluxLoop.PecPenetrationDepth to set that effective lambda_perp (default 1e-4 mesh units). - Raise the london_pc_shift default 1e-2 -> 1e-1. On finer meshes 1e-2 leaves the harmonic range-space solve intermittently divergent in parallel. The shift is preconditioner-only, so the extracted inductance is unchanged. --- palace/utils/configfile.cpp | 4 ++++ palace/utils/configfile.hpp | 12 ++++++++++-- palace/utils/iodata.cpp | 31 +++++++++++++++++++++++++++++++ 3 files changed, 45 insertions(+), 2 deletions(-) diff --git a/palace/utils/configfile.cpp b/palace/utils/configfile.cpp index 1eeea7d01a9..52b1ac23524 100644 --- a/palace/utils/configfile.cpp +++ b/palace/utils/configfile.cpp @@ -925,6 +925,10 @@ FluxLoopData::FluxLoopData(const json &fluxloop) MFEM_VERIFY(regularization > 0.0, "\"Regularization\" for \"FluxLoop\" boundary must be positive!"); + pec_lperp = fluxloop.value("PecPenetrationDepth", pec_lperp); + MFEM_VERIFY(pec_lperp > 0.0, + "\"PecPenetrationDepth\" for \"FluxLoop\" boundary must be positive!"); + auto direction_it = fluxloop.find("Direction"); if (direction_it != fluxloop.end()) { diff --git a/palace/utils/configfile.hpp b/palace/utils/configfile.hpp index b27ec59aa61..54bb7dee016 100644 --- a/palace/utils/configfile.hpp +++ b/palace/utils/configfile.hpp @@ -795,6 +795,10 @@ struct FluxLoopData // Regularization parameter for curl-curl system stability. double regularization = 1e-6; + // Effective λ⊥ [mesh units] for a FluxLoopPEC film not declared Superconductor: models it as + // the λ→0 London limit (auto-registered SC sheet, solved by the two-solve). + double pec_lperp = 1.0e-4; + FluxLoopData() = default; FluxLoopData(const json &fluxloop); }; @@ -1139,8 +1143,12 @@ struct LinearSolverData // which stalls/diverges AMS in parallel. This adds london_pc_shift · (1/µ) ∫|A|² as a // volume mass to the PRECONDITIONER matrix ONLY (the actual operator, solution and // extracted inductance are unchanged), lifting all gradient modes so AMS is SPD-solvable. - // Applied only when a London sheet term is present; ignored otherwise. - double london_pc_shift = 1.0e-2; + // Applied only when a London sheet term is present; ignored otherwise. Default 1e-1: on + // finer meshes a smaller shift (1e-2) leaves the second (harmonic) range-space solve + // intermittently divergent in parallel (reduction factor >1, run-to-run non-deterministic + // via non-associative MPI reductions); 1e-1 stabilizes it and, being preconditioner-only, + // leaves the extracted inductance bit-identical while converging in fewer iterations. + double london_pc_shift = 1.0e-1; // Option to use aggressive coarsening for Hypre AMG solves (with BoomerAMG or AMS). // Typically use this when the operator is positive definite. diff --git a/palace/utils/iodata.cpp b/palace/utils/iodata.cpp index 5109c347575..caaf07ba71a 100644 --- a/palace/utils/iodata.cpp +++ b/palace/utils/iodata.cpp @@ -579,6 +579,37 @@ void IoData::CheckConfiguration() { solver.linear.mg_smooth_order = std::max(2 * solver.order, 4); } + // Auto-register a FluxLoopPEC film that is NOT declared a Superconductor sheet as the λ→0 + // London limit: a superconductor sheet with a small effective L_ksq = λ⊥ (set λ = d = λ⊥ so + // λ²/d = λ⊥). This routes the film through the range-space two-solve (rigorous fluxoid + B·n=0, + // gauge-invariant, partition-independent) instead of the whole-film Dirichlet clamp. Runs + // before the ams_singular_op default below so the film is seen as a London film. + if (problem.type == ProblemType::MAGNETOSTATIC) + { + std::set sc_attrs; + for (const auto &sc : boundaries.superconductor) + { + for (auto attr : sc.attributes) + { + sc_attrs.insert(attr); + } + } + for (const auto &[idx, fl] : boundaries.fluxloop) + { + for (auto attr : fl.fluxloop_pec) + { + if (!sc_attrs.count(attr)) + { + config::SuperconductorData sc; + sc.lambda_L = fl.pec_lperp; + sc.thickness = fl.pec_lperp; + sc.attributes = {attr}; + boundaries.superconductor.push_back(sc); + sc_attrs.insert(attr); + } + } + } + } if (solver.linear.ams_singular_op < 0) { // A London flux film (a FluxLoopPEC boundary that is also a Superconductor sheet) leaves From 76b20bde90d36fb44756b154a86e3c3aff3e9530 Mon Sep 17 00:00:00 2001 From: Dzung Pham Date: Thu, 3 Sep 2026 20:22:45 -0700 Subject: [PATCH 15/27] Orient the London fluxoid functional by the flux loop direction The hole flux functional c = Curl^T P_RT^T lf was assembled with VectorFEBoundaryFluxLFIntegrator(1.0), whose sign follows the raw mesh boundary-face orientation. A hole aperture is an *internal* boundary surface, and nothing makes those orientations consistent: some generators emit them mixed, and EnsureNCMesh reorients a subset. c then measured the signed sum of sub-apertures instead of the whole aperture, so the fluxoid constraint c^T A = Phi imposed the wrong linear functional. Fix with a FluxOrientationCoefficient returning sign(CalcOrtho(T.Jacobian()) . direction), matching the DIRECTION_BASED convention ComputeFluxThroughSurface already uses. Verified by Stokes: for A = (-y/2, x/2, 0) (curl A = z_hat), c^T A must equal the projected aperture area exactly. Measured before the PEC zeroing, the ratio c^T A / area was ring_disk (conformal) 0.101515230 -> 1.000000000 circular_hole (nonconformal) 0.873673 -> 1.000000000 Note two signals that mask this and should not be trusted alone: the VerifyFluxThroughHoles printout read 0.99965 for ring_disk despite c being 10x wrong, and c^T A = Phi always prints exactly Phi, because the two-solve enforces it by construction. ring_disk was the affected case, so its references are regenerated (np=2; mutual 7.973e-12 -> 8.807e-12). The other three London cases were already at ratio 1.0 and their references are unchanged, which is the useful check: the fix is a no-op wherever internal faces were already consistently oriented. --- palace/models/curlcurloperator.cpp | 35 +++++++++++++++++-- .../regression/ref/ring_disk/domain-E.csv | 2 +- .../ref/ring_disk/error-indicators.csv | 2 +- .../regression/ref/ring_disk/terminal-M.csv | 4 +-- .../ref/ring_disk/terminal-Minv.csv | 4 +-- .../regression/ref/ring_disk/terminal-Mm.csv | 4 +-- 6 files changed, 41 insertions(+), 10 deletions(-) diff --git a/palace/models/curlcurloperator.cpp b/palace/models/curlcurloperator.cpp index 6e26f7b45ed..2be4af9650f 100644 --- a/palace/models/curlcurloperator.cpp +++ b/palace/models/curlcurloperator.cpp @@ -20,6 +20,37 @@ namespace palace { +namespace +{ + +// ±1 aligning the boundary-face normal with the flux loop direction. A hole aperture is an +// *internal* surface, whose face orientations the mesh need not make consistent (EnsureNCMesh +// scrambles them, and some generators emit them mixed), which would otherwise make c measure +// only part of the aperture. Matches ComputeFluxThroughSurface's DIRECTION_BASED convention. +class FluxOrientationCoefficient : public mfem::Coefficient +{ +private: + const mfem::Vector dir; + mutable mfem::Vector nor; + +public: + FluxOrientationCoefficient(const std::vector &d, int sdim) + : dir(const_cast(d.data()), sdim), nor(sdim) + { + MFEM_VERIFY(static_cast(d.size()) >= sdim, + "London flux loop direction must have " << sdim << " components!"); + } + + double Eval(mfem::ElementTransformation &T, const mfem::IntegrationPoint &ip) override + { + T.SetIntPoint(&ip); + mfem::CalcOrtho(T.Jacobian(), nor); + return (nor * dir < 0.0) ? -1.0 : 1.0; + } +}; + +} // namespace + CurlCurlOperator::CurlCurlOperator(const config::BoundaryData &boundaries, const config::SolverData &solver, const std::vector &materials, @@ -221,9 +252,9 @@ void CurlCurlOperator::SetUpLondonFluxConstraints() static_cast(data.hole_attributes.size())); auto hole_marker = mesh::BdrAttrToMarker(pmesh, hole_attr, true); - mfem::ConstantCoefficient one(1.0); + FluxOrientationCoefficient sgn(data.direction, pmesh.SpaceDimension()); mfem::LinearForm lf(&curl_fespace.Get()); - lf.AddBoundaryIntegrator(new mfem::VectorFEBoundaryFluxLFIntegrator(one), hole_marker); + lf.AddBoundaryIntegrator(new mfem::VectorFEBoundaryFluxLFIntegrator(sgn), hole_marker); lf.UseFastAssembly(false); lf.UseDevice(false); lf.Assemble(); diff --git a/test/data/regression/ref/ring_disk/domain-E.csv b/test/data/regression/ref/ring_disk/domain-E.csv index 78897d5e1cb..8d1804caffa 100644 --- a/test/data/regression/ref/ring_disk/domain-E.csv +++ b/test/data/regression/ref/ring_disk/domain-E.csv @@ -1,3 +1,3 @@ i, E_elec (J), E_mag (J), E_cap (J), E_ind (J) 1.00e+00, +0.000000000000e+00, +9.302689028617e-13, +0.000000000000e+00, +0.000000000000e+00 - 2.00e+00, +0.000000000000e+00, +9.591880268085e-04, +0.000000000000e+00, +0.000000000000e+00 + 2.00e+00, +0.000000000000e+00, +9.591881363918e-04, +0.000000000000e+00, +0.000000000000e+00 diff --git a/test/data/regression/ref/ring_disk/error-indicators.csv b/test/data/regression/ref/ring_disk/error-indicators.csv index 37b7ea717c0..3ecdc3e032d 100644 --- a/test/data/regression/ref/ring_disk/error-indicators.csv +++ b/test/data/regression/ref/ring_disk/error-indicators.csv @@ -1,2 +1,2 @@ Norm, Minimum, Maximum, Mean - +1.652251001062e-01, +6.764349251893e-08, +4.797628855576e-03, +2.313172456319e-04 + +1.652250719270e-01, +6.764349251890e-08, +4.797628855576e-03, +2.313069606773e-04 diff --git a/test/data/regression/ref/ring_disk/terminal-M.csv b/test/data/regression/ref/ring_disk/terminal-M.csv index e10ae03f555..733c1982e02 100644 --- a/test/data/regression/ref/ring_disk/terminal-M.csv +++ b/test/data/regression/ref/ring_disk/terminal-M.csv @@ -1,3 +1,3 @@ i, M[i][1] (H), M[i][2] (H) - 1.00e+00, +7.035647976746e-10, +7.972879166258e-12 - 2.00e+00, +7.972879166258e-12, +2.404366202670e-11 + 1.00e+00, +7.038408648032e-10, +8.806998562539e-12 + 2.00e+00, +8.806998562539e-12, +2.656389283009e-11 diff --git a/test/data/regression/ref/ring_disk/terminal-Minv.csv b/test/data/regression/ref/ring_disk/terminal-Minv.csv index 339c1fc7295..a506d1ca539 100644 --- a/test/data/regression/ref/ring_disk/terminal-Minv.csv +++ b/test/data/regression/ref/ring_disk/terminal-Minv.csv @@ -1,3 +1,3 @@ i, M⁻¹[i][1] (1/H), M⁻¹[i][2] (1/H) - 1.00e+00, +1.426694325492e+09, -4.730918880702e+08 - 2.00e+00, -4.730918880702e+08, +4.174787947625e+10 + 1.00e+00, +1.426694325492e+09, -4.730065338750e+08 + 2.00e+00, -4.730065338750e+08, +3.780190555227e+10 diff --git a/test/data/regression/ref/ring_disk/terminal-Mm.csv b/test/data/regression/ref/ring_disk/terminal-Mm.csv index 383ba1fc690..c1cdddb5680 100644 --- a/test/data/regression/ref/ring_disk/terminal-Mm.csv +++ b/test/data/regression/ref/ring_disk/terminal-Mm.csv @@ -1,3 +1,3 @@ i, M_m[i][1] (H), M_m[i][2] (H) - 1.00e+00, +7.115376768409e-10, -7.972879166258e-12 - 2.00e+00, -7.972879166258e-12, +3.201654119295e-11 + 1.00e+00, +7.126478633657e-10, -8.806998562539e-12 + 2.00e+00, -8.806998562539e-12, +3.537089139263e-11 From e4781741e0546ba7febeb10cfed8428d758dfa7b Mon Sep 17 00:00:00 2001 From: Dzung Pham Date: Thu, 3 Sep 2026 20:22:57 -0700 Subject: [PATCH 16/27] Allow nonconformal adaptation with London flux loop excitation The guard rejected *any* flux loop under nonconformal AMR. A London loop's drive a_h is built directly on the 3D ND space, so it needs no global edge indexing; only the legacy 2D submesh cohomology path does, via mesh::MatchBoundaryEdges -> GetGlobalEdgeIndices, which nonconformal meshes lack. Narrow the guard to non-London loops. This also unblocks AMR on hex/wedge/pyramid meshes, where geodata forces nonconformal refinement and the old guard therefore rejected AMR outright. Nonconformal iteration 1 now reproduces the conformal result to round-off (c^T A_p 1.158692e-01 vs 1.158693e-01) with the fluxoid exact to ~1e-15 at every iteration. Known limitation, not addressed here: the +/-Phi cut cochain is written to local ND_1 DOFs, and slaves are rebuilt as P.(masters), which deforms the effective cut near hanging faces (iteration 2: 26 DOFs altered, ||delta||/||a_h|| = 9%). Since L depends on a_h restricted to Sigma beyond its cohomology class, that shifts L non-variationally. Near-uniform nonconformal refinement agrees with conformal to 0.52%, but highly localized error-driven nonconformal AMR drives L the wrong way (5.157e-12 -> 4.074e-12 where conformal gives 5.157 -> 5.648 -> 6.051e-12), because refinement concentrates on the hole perimeter that the cut crosses. Prefer conformal adaptation for error-driven AMR until the generator is built on the coarse ancestor and prolonged through the nested-space ND transfer operator. --- palace/drivers/magnetostaticsolver.cpp | 17 +++++++++++++---- 1 file changed, 13 insertions(+), 4 deletions(-) diff --git a/palace/drivers/magnetostaticsolver.cpp b/palace/drivers/magnetostaticsolver.cpp index 455449d5132..533e82ff532 100644 --- a/palace/drivers/magnetostaticsolver.cpp +++ b/palace/drivers/magnetostaticsolver.cpp @@ -163,10 +163,19 @@ MagnetostaticSolver::Solve(const std::vector> &mesh) const MFEM_VERIFY(n_step > 0, "No surface current boundaries or flux loops specified for " "magnetostatic simulation!"); - MFEM_VERIFY( - n_flux_steps == 0 || iodata.model.refinement.max_it == 0 || - !iodata.model.refinement.nonconformal, - "Flux loop excitation is only supported with conformal adaptation or no adaptation!"); + // A London loop's drive a_h is built directly on the 3D ND space and is nonconformal-safe. + // Only the legacy 2D submesh path needs global edge indexing, which NC meshes lack. + { + int n_submesh_flux_steps = 0; + for (const auto &[idx, data] : curlcurl_op.GetSurfaceFluxOp()) + { + n_submesh_flux_steps += !curlcurl_op.IsLondonFluxLoop(idx); + } + MFEM_VERIFY(n_submesh_flux_steps == 0 || iodata.model.refinement.max_it == 0 || + !iodata.model.refinement.nonconformal, + "Non-London flux loop excitation is only supported with conformal adaptation " + "or no adaptation!"); + } // Source term and solution vector storage. Vector RHS(Curl.Width()), B(Curl.Height()); From 9103bd1e55269ba41bc774463d928bd75c16eeaf Mon Sep 17 00:00:00 2001 From: Dzung Pham Date: Thu, 3 Sep 2026 20:23:08 -0700 Subject: [PATCH 17/27] Add PALACE_LONDON_AH=angle diagnostic generator Selects the smooth representative a_h = (Phi/2pi) grad(theta), theta = atan2(y-cy, x-cx), whose exact ND_1 DOF is the angle subtended at the flux line. It carries the fluxoid exactly (to 4e-15), is bounded, and is nonconformal-safe, so it is a useful independent cross-check of the default cut cochain and a one-variable bisection when a result looks wrong. It is NOT physically interchangeable with the cut cochain, and the comment now records why so the substitution is not attempted again: the two differ by grad(psi) with psi = (Phi/2pi) theta_branch, which does not vanish on the PEC outer walls, so A -> A + grad(psi) is not an admissible gauge transformation of the Dirichlet-constrained problem and L is not invariant. The large smooth a_h on Sigma lets the film phase gradient absorb the fluxoid at near-zero kinetic cost, collapsing the screening current: square_hole comes out 109x low, circular_hole_london 38x low. Diagnostic use only; default remains the cut cochain. Also guards the degenerate case where the flux line meets a hole vertex, where theta is undefined, by offsetting the line deterministically within the hole. --- palace/models/surfacecurlsolver.cpp | 87 +++++++++++++++++++++++------ 1 file changed, 69 insertions(+), 18 deletions(-) diff --git a/palace/models/surfacecurlsolver.cpp b/palace/models/surfacecurlsolver.cpp index b47308706df..65846518c7c 100644 --- a/palace/models/surfacecurlsolver.cpp +++ b/palace/models/surfacecurlsolver.cpp @@ -5,6 +5,7 @@ #include "surfacefluxoperator.hpp" #include +#include #include #include #include @@ -30,17 +31,23 @@ namespace { // Build the London drive a_h as a 3D curl-free cohomology generator carrying the hole -// fluxoid ∮_∂hole a_h·dl = Φ: a_h = ∇θ with θ jumping by Φ across a cut half-plane S -// bounded by the vertical flux line L = {x=cx, y=cy, all z} through the hole centroid. It -// is assembled as a lowest-order (Whitney) edge cochain (edge DOF = ±Φ across S, 0 -// otherwise) then projected exactly into the order-p ND space (ND_1 ⊂ ND_p). curl a_h is -// supported only on faces pierced by L, which threads the hole opening off the film Σ, so -// a_h|Σ is curl-free with circulation Φ. Its gradient part is absorbable by A → A + ∇χ, so -// the extracted inductance depends only on the cohomology class (Φ) and is gauge-invariant. +// fluxoid ∮_∂hole a_h·dl = Φ, about the vertical flux line L = {x=cx, y=cy, all z} through +// the hole centroid. L threads the hole opening off the film Σ, so a_h|Σ is curl-free with +// circulation Φ; its gradient part is absorbable by A → A + ∇χ, so the extracted inductance +// depends only on the cohomology class (Φ) and is gauge-invariant. // -// PALACE_CUT_DIR selects the cut orientation (default "y": S = {x=cx, y≥cy}; "x": the -// gauge-equivalent S = {y=cy, x≥cx}) for the gauge-invariance gate. Overall sign is -// irrelevant: the downstream London normalization rescales a_h so cᵀa_h = Φ. +// Default is a cut cochain: a lowest-order (Whitney) edge DOF of ±Φ across a cut half-plane +// S bounded by L (0 otherwise), projected into the order-p ND space (ND_1 ⊂ ND_p). +// PALACE_CUT_DIR orients S (default "y": S = {x=cx, y≥cy}; "x": S = {y=cy, x≥cx}). Overall +// sign is irrelevant: the downstream London normalization rescales a_h so cᵀa_h = Φ. +// +// PALACE_LONDON_AH=angle selects the smooth representative a_h = (Φ/2π)∇θ, +// θ = atan2(y-cy, x-cx), whose exact DOF ∫_e ∇θ·t is the angle subtended at L. It carries +// the fluxoid exactly (verified to 4e-15) but is NOT interchangeable with the cut cochain: +// the two differ by ∇ψ, ψ = (Φ/2π)θ_branch, which does not vanish on the PEC outer walls, so +// A → A + ∇ψ is inadmissible and L is not invariant. Its large smooth a_h|Σ lets the film +// phase gradient absorb the fluxoid at near-zero kinetic cost, collapsing the screening +// current (square_hole: 109× low). Diagnostic use only. Vector BuildCutCohomologyGenerator(const SurfaceFluxData &flux_data, const mfem::ParFiniteElementSpace &ndp_fespace, const Mesh &mesh) @@ -84,18 +91,50 @@ Vector BuildCutCohomologyGenerator(const SurfaceFluxData &flux_data, Mpi::GlobalSum(3, csum, comm); Mpi::GlobalSum(1, &cnt, comm); MFEM_VERIFY(cnt > 0.0, "No hole boundary elements found for London cut generator!"); - const double cx = csum[0] / cnt, cy = csum[1] / cnt; + double cx = csum[0] / cnt, cy = csum[1] / cnt; - // Cut half-plane orientation (see function comment). Default S = {x=cx, y≥cy}; - // PALACE_CUT_DIR=x selects the gauge-equivalent S = {y=cy, x≥cx} sharing the same flux - // line L. + // Generator choice and cut half-plane orientation (see function comment). + const char *ah_env = std::getenv("PALACE_LONDON_AH"); + const bool use_cut = !(ah_env && (ah_env[0] == 'a' || ah_env[0] == 'A')); const char *cut_env = std::getenv("PALACE_CUT_DIR"); const bool cut_x = (cut_env && (cut_env[0] == 'x' || cut_env[0] == 'X')); - // Lowest-order (Whitney) cut cochain on an ND_1 space over the full 3D mesh. Each rank - // sets its local edge DOFs from vertex COORDINATES (identical on all ranks for a shared - // edge) in the canonical GetEdgeVertices orientation (ev0→ev1), so the owner's true-DOF - // value is correct and GetTrueDofs needs no cross-rank sign reconciliation. + if (!use_cut) + { + // θ is undefined on L. Measure the hole's radial extent and the closest approach of a + // hole vertex to L, then shift L off any vertex sitting on it — any interior point of + // the hole represents the same cohomology class. + double r_min = mfem::infinity(), r_max = 0.0; + for (int be = 0; be < pmesh.GetNBE(); be++) + { + if (!hole_attrs.count(pmesh.GetBdrAttribute(be))) + { + continue; + } + pmesh.GetBdrElementVertices(be, bverts); + for (int v : bverts) + { + const double *x = pmesh.GetVertex(v); + const double r = std::hypot(x[0] - cx, x[1] - cy); + r_min = std::min(r_min, r); + r_max = std::max(r_max, r); + } + } + Mpi::GlobalMin(1, &r_min, comm); + Mpi::GlobalMax(1, &r_max, comm); + if (r_min < 1.0e-6 * r_max) + { + cx += 3.7e-3 * r_max; + cy += 2.3e-3 * r_max; + Mpi::Print(" London a_h: flux line met a hole vertex, offset to ({:.6e}, {:.6e})\n", cx, + cy); + } + } + + // Lowest-order (Whitney) cochain on an ND_1 space over the full 3D mesh. Each rank sets + // its local edge DOFs from vertex COORDINATES (identical on all ranks for a shared edge) + // in the canonical GetEdgeVertices orientation (ev0→ev1), so the owner's true-DOF value is + // correct and GetTrueDofs needs no cross-rank sign reconciliation. mfem::ND_FECollection nd1_fec(1, sdim); mfem::ParFiniteElementSpace nd1_fespace(&pmesh, &nd1_fec); mfem::ParGridFunction ah1(&nd1_fespace); @@ -107,6 +146,18 @@ Vector BuildCutCohomologyGenerator(const SurfaceFluxData &flux_data, pmesh.GetEdgeVertices(e, ev); const double *x0 = pmesh.GetVertex(ev[0]); const double *x1 = pmesh.GetVertex(ev[1]); + if (!use_cut) + { + // DOF ∫_e ∇θ·t = angle subtended at L by ev0→ev1. atan2 returns the rotation of + // magnitude ≤ π, i.e. the branch consistent with the straight edge. Only x,y enter: L + // is vertical, so ∇θ has no z-component and vertical edges get 0. + const double ax = x0[0] - cx, ay = x0[1] - cy; + const double bx = x1[0] - cx, by = x1[1] - cy; + const double dtheta = std::atan2(ax * by - ay * bx, ax * bx + ay * by); + nd1_fespace.GetEdgeDofs(e, edofs); + ah1(edofs[0]) = phi * dtheta / (2.0 * M_PI); + continue; + } // d = signed distance to the cut PLANE; s = the in-plane half-plane selector // coordinate. double d0, d1, s0, s1; From 302434950f0f84c03d6977a47575324d5d3e4ac2 Mon Sep 17 00:00:00 2001 From: Dzung Pham Date: Tue, 8 Sep 2026 11:01:16 -0700 Subject: [PATCH 18/27] =?UTF-8?q?Make=20the=20London=20cut=20generator=20n?= =?UTF-8?q?on-conformal-safe=20(a=5Fh=20=3D=20Grad=20=CF=88=20=E2=88=92=20?= =?UTF-8?q?a=5Fangle)?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit The topological ±Φ step cochain is not a conforming ND field on a non-conformal mesh: the true-DOF round trip rebuilds slave edges as P·(masters), deforming the O(1) step near hanging faces and injecting a large spurious curl on the film Σ. Decompose the generator instead as a_h = Grad ψ − a_angle, where ψ = (Φ/2π)·atan2(d,−s) is a conformed nodal H1 branch potential. Grad ψ is a discrete gradient of a conformed function, so it is exactly conforming and exactly curl-free and survives the round trip untouched; only the small smooth a_angle term is re-interpolated. On a conformal mesh this reproduces the exact integer step (all four flux/London regression cases unchanged); on a non-conformal mesh any residual curl is confined to a_angle at graded refinement and is absorbed by the range-space two-solve (verified not to affect L: PEC washer exact and London rect/high-λ track the conformal reference at matched DOF). Add circular_hole_london_nc_amr regression case locking the NC generator path through one non-conformal AMR refinement. --- palace/models/surfacecurlsolver.cpp | 98 +++++++++++-------- .../circular_hole_nc_amr.json | 58 +++++++++++ .../circular_hole_london/nc_amr/domain-E.csv | 2 + .../nc_amr/error-indicators.csv | 2 + .../nc_amr/iteration1/domain-E.csv | 2 + .../nc_amr/iteration1/error-indicators.csv | 2 + .../nc_amr/iteration1/terminal-M.csv | 2 + .../nc_amr/iteration1/terminal-Minv.csv | 2 + .../nc_amr/iteration1/terminal-Mm.csv | 2 + .../nc_amr/iteration1/terminal-Phi.csv | 2 + .../nc_amr/terminal-M.csv | 2 + .../nc_amr/terminal-Minv.csv | 2 + .../nc_amr/terminal-Mm.csv | 2 + .../nc_amr/terminal-Phi.csv | 2 + test/unit/regression/cases.cpp | 16 +++ 15 files changed, 154 insertions(+), 42 deletions(-) create mode 100644 test/data/regression/input/circular_hole_london/circular_hole_nc_amr.json create mode 100644 test/data/regression/ref/circular_hole_london/nc_amr/domain-E.csv create mode 100644 test/data/regression/ref/circular_hole_london/nc_amr/error-indicators.csv create mode 100644 test/data/regression/ref/circular_hole_london/nc_amr/iteration1/domain-E.csv create mode 100644 test/data/regression/ref/circular_hole_london/nc_amr/iteration1/error-indicators.csv create mode 100644 test/data/regression/ref/circular_hole_london/nc_amr/iteration1/terminal-M.csv create mode 100644 test/data/regression/ref/circular_hole_london/nc_amr/iteration1/terminal-Minv.csv create mode 100644 test/data/regression/ref/circular_hole_london/nc_amr/iteration1/terminal-Mm.csv create mode 100644 test/data/regression/ref/circular_hole_london/nc_amr/iteration1/terminal-Phi.csv create mode 100644 test/data/regression/ref/circular_hole_london/nc_amr/terminal-M.csv create mode 100644 test/data/regression/ref/circular_hole_london/nc_amr/terminal-Minv.csv create mode 100644 test/data/regression/ref/circular_hole_london/nc_amr/terminal-Mm.csv create mode 100644 test/data/regression/ref/circular_hole_london/nc_amr/terminal-Phi.csv diff --git a/palace/models/surfacecurlsolver.cpp b/palace/models/surfacecurlsolver.cpp index 65846518c7c..3ebcc944f30 100644 --- a/palace/models/surfacecurlsolver.cpp +++ b/palace/models/surfacecurlsolver.cpp @@ -99,7 +99,6 @@ Vector BuildCutCohomologyGenerator(const SurfaceFluxData &flux_data, const char *cut_env = std::getenv("PALACE_CUT_DIR"); const bool cut_x = (cut_env && (cut_env[0] == 'x' || cut_env[0] == 'X')); - if (!use_cut) { // θ is undefined on L. Measure the hole's radial extent and the closest approach of a // hole vertex to L, then shift L off any vertex sitting on it — any interior point of @@ -140,54 +139,69 @@ Vector BuildCutCohomologyGenerator(const SurfaceFluxData &flux_data, mfem::ParGridFunction ah1(&nd1_fespace); ah1.UseDevice(false); ah1 = 0.0; - mfem::Array ev, edofs; + + // Nodal branch-cut potential ψ = (Φ/2π)·atan2(d, -s), whose branch discontinuity is exactly + // the cut half-plane, so cut = Grad ψ - a_angle. Carrying the O(1) step as a discrete + // gradient is what makes this non-conformal-safe: Grad of a *conformed* H1 function is + // exactly conforming and exactly curl-free, whereas a step written on edges is neither, and + // cᵀGrad = 0 identically, so ψ cannot perturb the circulation. + mfem::H1_FECollection h1_fec(1, sdim); + mfem::ParFiniteElementSpace h1_fespace(&pmesh, &h1_fec); + mfem::ParGridFunction psi(&h1_fespace); + psi.UseDevice(false); + psi = 0.0; + if (use_cut) + { + mfem::Array vdofs; + for (int v = 0; v < pmesh.GetNV(); v++) + { + const double *x = pmesh.GetVertex(v); + const double d = cut_x ? (x[1] - cy) : (x[0] - cx); + const double s = cut_x ? (x[0] - cx) : (x[1] - cy); + h1_fespace.GetVertexDofs(v, vdofs); + psi(vdofs[0]) = phi * std::atan2(d, -s) / (2.0 * M_PI); + } + mfem::Vector t(h1_fespace.GetTrueVSize()); + t.UseDevice(false); + psi.GetTrueDofs(t); + psi.SetFromTrueDofs(t); + } + + mfem::Array ev, edofs, vd0, vd1; for (int e = 0; e < pmesh.GetNEdges(); e++) { pmesh.GetEdgeVertices(e, ev); const double *x0 = pmesh.GetVertex(ev[0]); const double *x1 = pmesh.GetVertex(ev[1]); - if (!use_cut) - { - // DOF ∫_e ∇θ·t = angle subtended at L by ev0→ev1. atan2 returns the rotation of - // magnitude ≤ π, i.e. the branch consistent with the straight edge. Only x,y enter: L - // is vertical, so ∇θ has no z-component and vertical edges get 0. - const double ax = x0[0] - cx, ay = x0[1] - cy; - const double bx = x1[0] - cx, by = x1[1] - cy; - const double dtheta = std::atan2(ax * by - ay * bx, ax * bx + ay * by); - nd1_fespace.GetEdgeDofs(e, edofs); - ah1(edofs[0]) = phi * dtheta / (2.0 * M_PI); - continue; - } - // d = signed distance to the cut PLANE; s = the in-plane half-plane selector - // coordinate. - double d0, d1, s0, s1; - if (!cut_x) - { - d0 = x0[0] - cx; // plane x=cx - d1 = x1[0] - cx; - s0 = x0[1]; // half-plane y≥cy - s1 = x1[1]; - } - else - { - d0 = x0[1] - cy; // plane y=cy - d1 = x1[1] - cy; - s0 = x0[0]; // half-plane x≥cx - s1 = x1[0]; - } - if (d0 * d1 >= 0.0) - { - continue; // edge does not cross the cut plane - } - const double t = d0 / (d0 - d1); - const double scoord = s0 + t * (s1 - s0); - if ((!cut_x && scoord < cy) || (cut_x && scoord < cx)) + // DOF ∫_e ∇θ·t = angle subtended at L by ev0→ev1. atan2 returns the rotation of + // magnitude ≤ π, i.e. the branch consistent with the straight edge. Only x,y enter: L + // is vertical, so ∇θ has no z-component and vertical edges get 0. + const double ax = x0[0] - cx, ay = x0[1] - cy; + const double bx = x1[0] - cx, by = x1[1] - cy; + const double dtheta = std::atan2(ax * by - ay * bx, ax * bx + ay * by); + nd1_fespace.GetEdgeDofs(e, edofs); + double val = phi * dtheta / (2.0 * M_PI); + if (use_cut) { - continue; // crossing point lies off the half-plane + // cut = Grad ψ - a_angle. ψ is continuous except across the cut half-plane, where it + // jumps by Φ, so this reproduces the ±Φ step cochain exactly on a conformal mesh. + h1_fespace.GetVertexDofs(ev[0], vd0); + h1_fespace.GetVertexDofs(ev[1], vd1); + val = psi(vd1[0]) - psi(vd0[0]) - val; } - // Edge ev0→ev1 crosses the cut: θ jumps +Φ toward the +normal (d1>0) side of the plane. - nd1_fespace.GetEdgeDofs(e, edofs); - ah1(edofs[0]) = (d1 > 0.0) ? phi : -phi; + ah1(edofs[0]) = val; + } + + // Conform the cochain before projecting. Grad ψ is a discrete gradient of a conformed H1 + // function, so it survives the round trip exactly (circulation and curl-free-on-Σ intact); + // only the smooth a_angle term is re-interpolated onto slaves. On a non-conformal mesh that + // leaves a small residual curl on Σ near graded refinement, which the range-space two-solve + // absorbs (does not affect L); on a conformal mesh a_h is the exact integer step, curl-free. + { + mfem::Vector t(nd1_fespace.GetTrueVSize()); + t.UseDevice(false); + ah1.GetTrueDofs(t); + ah1.SetFromTrueDofs(t); } // Project the ND_1 cut field exactly into the order-p ND space. The per-element field is diff --git a/test/data/regression/input/circular_hole_london/circular_hole_nc_amr.json b/test/data/regression/input/circular_hole_london/circular_hole_nc_amr.json new file mode 100644 index 00000000000..b7f92854ca6 --- /dev/null +++ b/test/data/regression/input/circular_hole_london/circular_hole_nc_amr.json @@ -0,0 +1,58 @@ +{ + "Problem": + { + "Type": "Magnetostatic", + "Verbose": 2, + "Output": "postpro/nc_amr" + }, + "Model": + { + "Mesh": "mesh/circular_hole.msh", + "L0": 1.0e-6, + "Refinement": + { + "Tol": 1.0e-12, + "MaxIts": 1, + "UpdateFraction": 0.5, + "Nonconformal": true, + "MaxNCLevels": 3, + "SaveAdaptIterations": true + } + }, + "Domains": + { + "Materials": + [ + { "Attributes": [1], "Permeability": 1.0 } + ], + "Postprocessing": + { + "Energy": [ { "Index": 1, "Attributes": [1] } ] + } + }, + "Boundaries": + { + "PEC": { "Attributes": [2, 3, 4, 5, 6, 7] }, + "Superconductor": + [ + { "Attributes": [8], "PenetrationDepth": 0.4, "Thickness": 0.1 } + ], + "FluxLoop": + [ + { + "Index": 1, + "FluxLoopPEC": [8], + "HoleAttributes": [9], + "FluxAmounts": [1.0], + "Direction": "+Z" + } + ] + }, + "Solver": + { + "Order": 2, + "Device": "CPU", + "Magnetostatic": { "Save": 0 }, + "Linear": { "Type": "AMS", "KSPType": "CG", "Tol": 1.0e-8, "MaxIts": 200 } + } +} diff --git a/test/data/regression/ref/circular_hole_london/nc_amr/domain-E.csv b/test/data/regression/ref/circular_hole_london/nc_amr/domain-E.csv new file mode 100644 index 00000000000..457886db1f6 --- /dev/null +++ b/test/data/regression/ref/circular_hole_london/nc_amr/domain-E.csv @@ -0,0 +1,2 @@ + i, E_elec (J), E_mag (J), E_cap (J), E_ind (J), E_elec[1] (J), p_elec[1], E_mag[1] (J), p_mag[1] + 1.00e+00, +0.000000000000e+00, +3.432664546051e-12, +0.000000000000e+00, +0.000000000000e+00, +0.000000000000e+00, +0.000000000000e+00, +7.390165068129e-14, +2.152894630101e-02 diff --git a/test/data/regression/ref/circular_hole_london/nc_amr/error-indicators.csv b/test/data/regression/ref/circular_hole_london/nc_amr/error-indicators.csv new file mode 100644 index 00000000000..33713a70c82 --- /dev/null +++ b/test/data/regression/ref/circular_hole_london/nc_amr/error-indicators.csv @@ -0,0 +1,2 @@ + Norm, Minimum, Maximum, Mean + +6.139440644453e-02, +4.786847160682e-08, +3.344543063100e-03, +1.010809870362e-04 diff --git a/test/data/regression/ref/circular_hole_london/nc_amr/iteration1/domain-E.csv b/test/data/regression/ref/circular_hole_london/nc_amr/iteration1/domain-E.csv new file mode 100644 index 00000000000..fd8598d7460 --- /dev/null +++ b/test/data/regression/ref/circular_hole_london/nc_amr/iteration1/domain-E.csv @@ -0,0 +1,2 @@ + i, E_elec (J), E_mag (J), E_cap (J), E_ind (J), E_elec[1] (J), p_elec[1], E_mag[1] (J), p_mag[1] + 1.00e+00, +0.000000000000e+00, +3.271729944796e-12, +0.000000000000e+00, +0.000000000000e+00, +0.000000000000e+00, +0.000000000000e+00, +7.718277681331e-14, +2.359081529210e-02 diff --git a/test/data/regression/ref/circular_hole_london/nc_amr/iteration1/error-indicators.csv b/test/data/regression/ref/circular_hole_london/nc_amr/iteration1/error-indicators.csv new file mode 100644 index 00000000000..8da7346b7d0 --- /dev/null +++ b/test/data/regression/ref/circular_hole_london/nc_amr/iteration1/error-indicators.csv @@ -0,0 +1,2 @@ + Norm, Minimum, Maximum, Mean + +6.391649294169e-02, +4.972084633823e-08, +4.296146516050e-03, +8.936917292081e-05 diff --git a/test/data/regression/ref/circular_hole_london/nc_amr/iteration1/terminal-M.csv b/test/data/regression/ref/circular_hole_london/nc_amr/iteration1/terminal-M.csv new file mode 100644 index 00000000000..4bbe1abe9e1 --- /dev/null +++ b/test/data/regression/ref/circular_hole_london/nc_amr/iteration1/terminal-M.csv @@ -0,0 +1,2 @@ + i, M[i][1] (H) + 1.00e+00, +5.156831480660e-12 diff --git a/test/data/regression/ref/circular_hole_london/nc_amr/iteration1/terminal-Minv.csv b/test/data/regression/ref/circular_hole_london/nc_amr/iteration1/terminal-Minv.csv new file mode 100644 index 00000000000..ea292fee922 --- /dev/null +++ b/test/data/regression/ref/circular_hole_london/nc_amr/iteration1/terminal-Minv.csv @@ -0,0 +1,2 @@ + i, M⁻¹[i][1] (1/H) + 1.00e+00, +1.939175254709e+11 diff --git a/test/data/regression/ref/circular_hole_london/nc_amr/iteration1/terminal-Mm.csv b/test/data/regression/ref/circular_hole_london/nc_amr/iteration1/terminal-Mm.csv new file mode 100644 index 00000000000..61214442097 --- /dev/null +++ b/test/data/regression/ref/circular_hole_london/nc_amr/iteration1/terminal-Mm.csv @@ -0,0 +1,2 @@ + i, M_m[i][1] (H) + 1.00e+00, +5.156831480660e-12 diff --git a/test/data/regression/ref/circular_hole_london/nc_amr/iteration1/terminal-Phi.csv b/test/data/regression/ref/circular_hole_london/nc_amr/iteration1/terminal-Phi.csv new file mode 100644 index 00000000000..8a167035d8e --- /dev/null +++ b/test/data/regression/ref/circular_hole_london/nc_amr/iteration1/terminal-Phi.csv @@ -0,0 +1,2 @@ + i, Phi_inc[i] (Wb) + 1.00e+00, +9.711489379872e-13 diff --git a/test/data/regression/ref/circular_hole_london/nc_amr/terminal-M.csv b/test/data/regression/ref/circular_hole_london/nc_amr/terminal-M.csv new file mode 100644 index 00000000000..3a1e9414e05 --- /dev/null +++ b/test/data/regression/ref/circular_hole_london/nc_amr/terminal-M.csv @@ -0,0 +1,2 @@ + i, M[i][1] (H) + 1.00e+00, +5.326070205916e-12 diff --git a/test/data/regression/ref/circular_hole_london/nc_amr/terminal-Minv.csv b/test/data/regression/ref/circular_hole_london/nc_amr/terminal-Minv.csv new file mode 100644 index 00000000000..76e9921d484 --- /dev/null +++ b/test/data/regression/ref/circular_hole_london/nc_amr/terminal-Minv.csv @@ -0,0 +1,2 @@ + i, M⁻¹[i][1] (1/H) + 1.00e+00, +1.877556925347e+11 diff --git a/test/data/regression/ref/circular_hole_london/nc_amr/terminal-Mm.csv b/test/data/regression/ref/circular_hole_london/nc_amr/terminal-Mm.csv new file mode 100644 index 00000000000..9f2c233b56a --- /dev/null +++ b/test/data/regression/ref/circular_hole_london/nc_amr/terminal-Mm.csv @@ -0,0 +1,2 @@ + i, M_m[i][1] (H) + 1.00e+00, +5.326070205916e-12 diff --git a/test/data/regression/ref/circular_hole_london/nc_amr/terminal-Phi.csv b/test/data/regression/ref/circular_hole_london/nc_amr/terminal-Phi.csv new file mode 100644 index 00000000000..8a167035d8e --- /dev/null +++ b/test/data/regression/ref/circular_hole_london/nc_amr/terminal-Phi.csv @@ -0,0 +1,2 @@ + i, Phi_inc[i] (Wb) + 1.00e+00, +9.711489379872e-13 diff --git a/test/unit/regression/cases.cpp b/test/unit/regression/cases.cpp index 36bed54f089..14375607226 100644 --- a/test/unit/regression/cases.cpp +++ b/test/unit/regression/cases.cpp @@ -257,6 +257,22 @@ TEST_CASE("double_hole_london_flux", "[Serial][Parallel][GPU][Regression]") palace::test::RunRegressionCase("double_hole_london", "double_hole.json", "", opts); } +// London flux film under non-conformal AMR. Locks the NC-safe cut generator (a_h = Grad ψ - +// a_angle): Grad ψ survives the true-DOF round trip exactly, so the fluxoid and curl-free-on-Σ +// gauge hold on the refined mesh and L converges upward (5.16 -> 5.33 pH after one refinement). +// Omits [GPU]: adaptive cases skip GPU CI (cf. cpw_wave_adaptive, awslabs/palace#375). +TEST_CASE("circular_hole_london_nc_amr", "[Serial][Parallel][Regression]") +{ + palace::test::RegressionOptions opts; + opts.rtol = 1.0e-4; + opts.atol = 1.0e-16; + opts.excluded_columns = {"Maximum", "Minimum", "Mean"}; + opts.paraview_fields = false; + opts.linear_solver_policy = force_default_solver; + palace::test::RunRegressionCase("circular_hole_london", "circular_hole_nc_amr.json", + "nc_amr", opts); +} + // Mixed current-flux excitation. The aperture integral recovering M[1][2] is // reduced over surfaces the partitioner may split, so this case catches a // double-counted contribution. From 81334918cb78f6740ed14634d0b2370381cdd3d8 Mon Sep 17 00:00:00 2001 From: Dzung Pham Date: Tue, 8 Sep 2026 11:22:40 -0700 Subject: [PATCH 19/27] Move circular_hole_london_flux reference into a base/ subdir Avoids a reference-root collision with the new circular_hole_london_nc_amr case: the harness lists reference files recursively, so the flat flux case picked up the sibling nc_amr/ tree. Isolate each case in its own subdir. --- .../regression/input/circular_hole_london/circular_hole.json | 2 +- .../regression/ref/circular_hole_london/{ => base}/domain-E.csv | 0 .../ref/circular_hole_london/{ => base}/error-indicators.csv | 0 .../ref/circular_hole_london/{ => base}/terminal-M.csv | 0 .../ref/circular_hole_london/{ => base}/terminal-Minv.csv | 0 .../ref/circular_hole_london/{ => base}/terminal-Mm.csv | 0 .../ref/circular_hole_london/{ => base}/terminal-Phi.csv | 0 test/unit/regression/cases.cpp | 2 +- 8 files changed, 2 insertions(+), 2 deletions(-) rename test/data/regression/ref/circular_hole_london/{ => base}/domain-E.csv (100%) rename test/data/regression/ref/circular_hole_london/{ => base}/error-indicators.csv (100%) rename test/data/regression/ref/circular_hole_london/{ => base}/terminal-M.csv (100%) rename test/data/regression/ref/circular_hole_london/{ => base}/terminal-Minv.csv (100%) rename test/data/regression/ref/circular_hole_london/{ => base}/terminal-Mm.csv (100%) rename test/data/regression/ref/circular_hole_london/{ => base}/terminal-Phi.csv (100%) diff --git a/test/data/regression/input/circular_hole_london/circular_hole.json b/test/data/regression/input/circular_hole_london/circular_hole.json index 9db15fd45a6..a88cfd2aefa 100644 --- a/test/data/regression/input/circular_hole_london/circular_hole.json +++ b/test/data/regression/input/circular_hole_london/circular_hole.json @@ -3,7 +3,7 @@ { "Type": "Magnetostatic", "Verbose": 2, - "Output": "postpro" + "Output": "postpro/base" }, "Model": { diff --git a/test/data/regression/ref/circular_hole_london/domain-E.csv b/test/data/regression/ref/circular_hole_london/base/domain-E.csv similarity index 100% rename from test/data/regression/ref/circular_hole_london/domain-E.csv rename to test/data/regression/ref/circular_hole_london/base/domain-E.csv diff --git a/test/data/regression/ref/circular_hole_london/error-indicators.csv b/test/data/regression/ref/circular_hole_london/base/error-indicators.csv similarity index 100% rename from test/data/regression/ref/circular_hole_london/error-indicators.csv rename to test/data/regression/ref/circular_hole_london/base/error-indicators.csv diff --git a/test/data/regression/ref/circular_hole_london/terminal-M.csv b/test/data/regression/ref/circular_hole_london/base/terminal-M.csv similarity index 100% rename from test/data/regression/ref/circular_hole_london/terminal-M.csv rename to test/data/regression/ref/circular_hole_london/base/terminal-M.csv diff --git a/test/data/regression/ref/circular_hole_london/terminal-Minv.csv b/test/data/regression/ref/circular_hole_london/base/terminal-Minv.csv similarity index 100% rename from test/data/regression/ref/circular_hole_london/terminal-Minv.csv rename to test/data/regression/ref/circular_hole_london/base/terminal-Minv.csv diff --git a/test/data/regression/ref/circular_hole_london/terminal-Mm.csv b/test/data/regression/ref/circular_hole_london/base/terminal-Mm.csv similarity index 100% rename from test/data/regression/ref/circular_hole_london/terminal-Mm.csv rename to test/data/regression/ref/circular_hole_london/base/terminal-Mm.csv diff --git a/test/data/regression/ref/circular_hole_london/terminal-Phi.csv b/test/data/regression/ref/circular_hole_london/base/terminal-Phi.csv similarity index 100% rename from test/data/regression/ref/circular_hole_london/terminal-Phi.csv rename to test/data/regression/ref/circular_hole_london/base/terminal-Phi.csv diff --git a/test/unit/regression/cases.cpp b/test/unit/regression/cases.cpp index 14375607226..b60ad9dcdc5 100644 --- a/test/unit/regression/cases.cpp +++ b/test/unit/regression/cases.cpp @@ -240,7 +240,7 @@ TEST_CASE("circular_hole_london_flux", "[Serial][Parallel][GPU][Regression]") opts.excluded_columns = {"Maximum", "Minimum", "Mean"}; opts.paraview_fields = false; opts.linear_solver_policy = force_default_solver; - palace::test::RunRegressionCase("circular_hole_london", "circular_hole.json", "", opts); + palace::test::RunRegressionCase("circular_hole_london", "circular_hole.json", "base", opts); } // Two London holes on a shared film, each an independent flux loop. Locks the London-London From 3e09e48dadb3a87cdc01550dde5a362bcdc24c66 Mon Sep 17 00:00:00 2001 From: Dzung Pham Date: Tue, 8 Sep 2026 15:16:19 -0700 Subject: [PATCH 20/27] Halt AMR gracefully when a London solve does not converge MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit The fluxoid-mode solve A_h = K⁻¹c needs progressively more PCG iterations as the mesh refines (p-multigrid+AMS is not h-independent on the gauge-singular operator), so deep AMR eventually hits the Linear.MaxIts cap and the fail-loud MFEM_VERIFY aborted the whole run. Instead, signal non-convergence via solve_converged_ and have SolveEstimateMarkRefine stop adaptation, retaining the last converged iteration's output. The initial solve still fails loud (no fallback), and non-AMR runs are unaffected. --- palace/drivers/basesolver.cpp | 13 +++++++++++++ palace/drivers/basesolver.hpp | 4 ++++ palace/drivers/magnetostaticsolver.cpp | 22 ++++++++++++++++------ 3 files changed, 33 insertions(+), 6 deletions(-) diff --git a/palace/drivers/basesolver.cpp b/palace/drivers/basesolver.cpp index 75f2ecaf387..47cee92babf 100644 --- a/palace/drivers/basesolver.cpp +++ b/palace/drivers/basesolver.cpp @@ -208,6 +208,8 @@ void BaseSolver::SolveEstimateMarkRefine(std::vector> &mes // Perform initial solve and estimation. auto [indicators, ntdof] = Solve(mesh); + MFEM_VERIFY(solve_converged_, + "Initial solve did not converge; no converged result to fall back on!"); double err = indicators.Norml2(comm); // Collection of all tests that might exhaust resources. @@ -304,6 +306,17 @@ void BaseSolver::SolveEstimateMarkRefine(std::vector> &mes // Solve + estimate. Mpi::Print("\nProceeding with solve/estimate iteration {}...\n", it + 1); std::tie(indicators, ntdof) = Solve(mesh); + if (!solve_converged_) + { + // Solver could not converge on the refined mesh (e.g. the fluxoid solve as the mesh + // grows). Halt adaptation and retain the previous, converged iteration's output rather + // than aborting the run or reporting an unreliable result. + Mpi::Warning(comm, + "Solve did not converge after refinement iteration {:d}; halting AMR and " + "keeping the last converged iteration!\n", + it); + break; + } err = indicators.Norml2(comm); } Mpi::Print("\nCompleted {:d} iteration{} of adaptive mesh refinement (AMR):\n" diff --git a/palace/drivers/basesolver.hpp b/palace/drivers/basesolver.hpp index ee83acceae1..03d41678583 100644 --- a/palace/drivers/basesolver.hpp +++ b/palace/drivers/basesolver.hpp @@ -44,6 +44,10 @@ class BaseSolver virtual std::pair Solve(const std::vector> &mesh) const = 0; + // Set false by Solve when a linear solve fails to converge. Lets SolveEstimateMarkRefine + // halt adaptation gracefully (keeping the last converged iteration) instead of aborting. + mutable bool solve_converged_ = true; + public: BaseSolver(const IoData &iodata, bool root, int size = 0, int num_thread = 0, const char *git_tag = nullptr); diff --git a/palace/drivers/magnetostaticsolver.cpp b/palace/drivers/magnetostaticsolver.cpp index 533e82ff532..2c2fa381be8 100644 --- a/palace/drivers/magnetostaticsolver.cpp +++ b/palace/drivers/magnetostaticsolver.cpp @@ -214,6 +214,7 @@ MagnetostaticSolver::Solve(const std::vector> &mesh) const iodata.solver.linear.estimator_tol, iodata.solver.linear.estimator_max_it, 0, iodata.solver.linear.estimator_mg); ErrorIndicator indicator; + solve_converged_ = true; // Unified loop over all excitation sources (current and flux loops). if (n_current_steps > 0 && n_flux_steps > 0) @@ -344,15 +345,24 @@ MagnetostaticSolver::Solve(const std::vector> &mesh) const // clean zero start makes both solves robust and partition-/roundoff-independent. A_p_london = 0.0; ksp.Mult(RHS, A_p_london); - MFEM_VERIFY(ksp.GetConverged(), - "London particular-solution solve A_p = K⁻¹b did not converge for flux " - "loop " << idx << "; extracted inductance would be unreliable!"); + if (!ksp.GetConverged()) + { + // Return unconverged so SolveEstimateMarkRefine can halt adaptation and keep the + // last converged iteration. Bail before postprocessing so no unreliable inductance + // is written; the initial-solve check downstream still fails loud with no fallback. + Mpi::Warning("London solve A_p = K⁻¹b did not converge for flux loop {:d}!\n", idx); + solve_converged_ = false; + return {indicator, curlcurl_op.GlobalTrueVSize()}; + } curlcurl_op.GetFluxConstraintVector(idx, RHS_c_london); A_h_london = 0.0; ksp.Mult(RHS_c_london, A_h_london); - MFEM_VERIFY(ksp.GetConverged(), - "London fluxoid-mode solve A_h = K⁻¹c did not converge for flux loop " - << idx << "; extracted inductance would be unreliable!"); + if (!ksp.GetConverged()) + { + Mpi::Warning("London solve A_h = K⁻¹c did not converge for flux loop {:d}!\n", idx); + solve_converged_ = false; + return {indicator, curlcurl_op.GlobalTrueVSize()}; + } double phi_p = curlcurl_op.MeasureLondonHoleFlux(idx, A_p_london); double phi_h = curlcurl_op.MeasureLondonHoleFlux(idx, A_h_london); MFEM_VERIFY( From e78edb2ee1a82274c9042942745eb836cd49e060 Mon Sep 17 00:00:00 2001 From: Dzung Pham Date: Tue, 8 Sep 2026 17:10:12 -0700 Subject: [PATCH 21/27] Halt AMR when the London kinetic penalty energy spikes MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit A pure-PEC (λ→0) flux loop is modeled as a stiff tiny-λ London penalty. On a deeply refined mesh the linear solve cannot resolve A_t = a_h tightly enough, so the kinetic penalty energy S(A_t − a_h) = (A − a_h)ᵀ M_sheet (A − a_h) — which should vanish — becomes large and collapses the extracted inductance (compounded by catastrophic cancellation in the expanded S(A,A) form). Form S(A_t − a_h) directly (ApplySheetMass) and, if it jumps by more than 20× between adaptation iterations, flag the solve so SolveEstimateMarkRefine halts and keeps the last converged iteration. A converging solve grows this energy only mildly, so finite-λ films (circular, double, high-λ rect) are unaffected; verified the PEC square washer now stops at the geometric value (~3.02 pH) instead of collapsing. --- palace/drivers/basesolver.hpp | 10 ++++++-- palace/drivers/magnetostaticsolver.cpp | 34 ++++++++++++++++++++++++++ palace/models/curlcurloperator.hpp | 10 ++++++++ 3 files changed, 52 insertions(+), 2 deletions(-) diff --git a/palace/drivers/basesolver.hpp b/palace/drivers/basesolver.hpp index 03d41678583..1a22a478bb7 100644 --- a/palace/drivers/basesolver.hpp +++ b/palace/drivers/basesolver.hpp @@ -44,10 +44,16 @@ class BaseSolver virtual std::pair Solve(const std::vector> &mesh) const = 0; - // Set false by Solve when a linear solve fails to converge. Lets SolveEstimateMarkRefine - // halt adaptation gracefully (keeping the last converged iteration) instead of aborting. + // Set false by Solve when a linear solve fails to converge, or when the London kinetic + // penalty energy spikes (a stiff λ→0 penalty the solver cannot resolve on a refined mesh). + // Lets SolveEstimateMarkRefine halt adaptation gracefully, keeping the last converged + // iteration, instead of aborting or reporting a collapsed inductance. mutable bool solve_converged_ = true; + // Previous adaptation iteration's total London kinetic energy S(A_t − a_h), for detecting an + // anomalous spike; negative until the first London solve sets it. + mutable double prev_london_kinetic_ = -1.0; + public: BaseSolver(const IoData &iodata, bool root, int size = 0, int num_thread = 0, const char *git_tag = nullptr); diff --git a/palace/drivers/magnetostaticsolver.cpp b/palace/drivers/magnetostaticsolver.cpp index 2c2fa381be8..7479df6f01b 100644 --- a/palace/drivers/magnetostaticsolver.cpp +++ b/palace/drivers/magnetostaticsolver.cpp @@ -215,6 +215,10 @@ MagnetostaticSolver::Solve(const std::vector> &mesh) const iodata.solver.linear.estimator_mg); ErrorIndicator indicator; solve_converged_ = true; + // Total London kinetic penalty energy S(A_t − a_h) summed over flux loops this solve. A + // stiff (λ→0) penalty that the linear solve cannot resolve on a refined mesh makes this + // spike; comparing against the previous adaptation iteration flags the under-resolution. + double london_kinetic = 0.0; // Unified loop over all excitation sources (current and flux loops). if (n_current_steps > 0 && n_flux_steps > 0) @@ -371,6 +375,15 @@ MagnetostaticSolver::Solve(const std::vector> &mesh) const double alpha = (data.GetExcitationFlux() - phi_p) / phi_h; A[step] = A_p_london; A[step].Add(alpha, A_h_london); + + // Accumulate the kinetic penalty energy S(A_t − a_h) = (A − a_h)ᵀ M_sheet (A − a_h), + // formed directly (not via the cancellation-prone S(A,A) − 2S(A,a_h) + S(a_h,a_h)) so + // it is trustworthy even when the stiff-penalty solve is under-resolved. + Vector d(A[step]), msd(A[step].Size()); + msd.UseDevice(true); + d -= boundary_values; + curlcurl_op.ApplySheetMass(d, msd); + london_kinetic += linalg::Dot(curlcurl_op.GetComm(), d, msd); Phi_inc[step] = data.GetExcitationFlux(); // Exact via the flux constraint. // Retain b and a_h for the cross-energy correction in PostprocessTerminals. @@ -384,6 +397,27 @@ MagnetostaticSolver::Solve(const std::vector> &mesh) const } } + // Guard against a stiff (λ→0) London penalty the linear solve cannot resolve on a refined + // mesh: the kinetic energy S(A_t − a_h) then jumps far above the previous adaptation + // iteration and the extracted inductance collapses. Flag it (before postprocessing writes + // an unreliable result) so SolveEstimateMarkRefine halts AMR and keeps the last converged + // iteration. A converging solve grows this energy at most mildly between iterations. + constexpr double london_kinetic_growth = 20.0; + if (prev_london_kinetic_ > 0.0 && + london_kinetic > london_kinetic_growth * prev_london_kinetic_) + { + Mpi::Warning(curlcurl_op.GetComm(), + "London kinetic energy jumped {:.2e}x after refinement ({:.3e} -> {:.3e}); " + "the stiff-penalty solve is under-resolved!\n", + london_kinetic / prev_london_kinetic_, prev_london_kinetic_, london_kinetic); + solve_converged_ = false; + return {indicator, curlcurl_op.GlobalTrueVSize()}; + } + if (london_kinetic > 0.0) + { + prev_london_kinetic_ = london_kinetic; + } + // Pass 2: postprocess in canonical step order so output is independent of solve order. for (int step = 0; step < n_step; step++) { diff --git a/palace/models/curlcurloperator.hpp b/palace/models/curlcurloperator.hpp index 0064721f4ad..726fc44eb02 100644 --- a/palace/models/curlcurloperator.hpp +++ b/palace/models/curlcurloperator.hpp @@ -205,6 +205,16 @@ class CurlCurlOperator return GetCurlSpace().GetDiscreteInterpolator(GetNDSpace()); } + // Apply the cached sheet mass M_sheet (∫_Σ (1/L_ksq) A_t·v_t). Requires a prior + // GetFluxExcitationVector on a London loop to have built it. Lets the driver form the + // kinetic penalty energy S(A−a_h) = (A−a_h)ᵀ M_sheet (A−a_h) directly, avoiding the + // catastrophic cancellation of the expanded S(A,A) − 2S(A,a_h) + S(a_h,a_h) form. + void ApplySheetMass(const Vector &x, Vector &y) const + { + MFEM_VERIFY(M_sheet_, "Sheet mass operator has not been built!"); + M_sheet_->Mult(x, y); + } + // Assemble the right-hand side source term vector for a current source applied on // specified excited boundaries. void GetCurrentExcitationVector(int idx, Vector &RHS); From 4915e0a15ae525d2c6d48f8cb5ddd17ab9c9a807 Mon Sep 17 00:00:00 2001 From: Dzung Pham Date: Wed, 9 Sep 2026 20:05:57 -0700 Subject: [PATCH 22/27] Docs: use L_ksq subscript to match the code label --- docs/src/examples/circular_hole.md | 8 ++++---- 1 file changed, 4 insertions(+), 4 deletions(-) diff --git a/docs/src/examples/circular_hole.md b/docs/src/examples/circular_hole.md index d08bee95f5e..95470f54710 100644 --- a/docs/src/examples/circular_hole.md +++ b/docs/src/examples/circular_hole.md @@ -47,8 +47,8 @@ Whether a film screens perfectly or penetrates is set by how its attribute is de shifted London sheet penalty ```math - \tfrac{1}{2}\int_\Sigma \frac{1}{L_\square}\,\lvert \mathbf{A}_t - \mathbf{a}_h\rvert^2\,dS, - \qquad L_\square = \frac{\mu_0 \lambda^2}{d}, + \tfrac{1}{2}\int_\Sigma \frac{1}{L_{\mathrm{ksq}}}\,\lvert \mathbf{A}_t - \mathbf{a}_h\rvert^2\,dS, + \qquad L_{\mathrm{ksq}} = \frac{\mu_0 \lambda^2}{d}, ``` where ``\lambda`` (`"PenetrationDepth"`) is the penetration depth and ``d`` @@ -197,13 +197,13 @@ The fields have the following meaning: - `"Direction"`: surface normal direction for flux orientation. - `"Superconductor"`: the same film attribute, with penetration depth ``\lambda`` and thickness ``d`` (both in ``\mu\text{m}``) setting the sheet inductance - ``L_\square = \mu_0\lambda^2/d``. + ``L_{\mathrm{ksq}} = \mu_0\lambda^2/d``. Sweeping ``\lambda`` at fixed ``d = 0.1\,\mu\text{m}`` shows the kinetic inductance adding to the geometric baseline as the film penetration grows, and the ``\lambda\to0`` value reproducing the perfect-conductor limit: -| ``\lambda`` (μm) | ``L_\square = \lambda^2/d`` | ``L`` (pH) | +| ``\lambda`` (μm) | ``L_{\mathrm{ksq}} = \lambda^2/d`` | ``L`` (pH) | |:---:|:---:|:---:| | ``0`` (PEC) | ``0`` | ``2.853`` | | ``0.1`` | ``0.1`` | ``3.288`` | From 4cd626c1dec3b2630968bda62316cae4c85f61d7 Mon Sep 17 00:00:00 2001 From: Dzung Pham Date: Thu, 10 Sep 2026 14:12:48 -0700 Subject: [PATCH 23/27] Rename FluxLoop key FluxLoopPEC to FilmAttributes; clang-format sources --- docs/src/examples/circular_hole.md | 20 +++---- examples/circular_hole/circular_hole.json | 2 +- .../double_circular_hole_multi_flux.json | 4 +- .../double_circular_hole_multi_planes.json | 4 +- examples/circular_hole/mesh/rect_hole.msh | Bin 0 -> 1480089 bytes examples/circular_hole/square_hole.json | 2 +- examples/ring_disk/ring_disk.json | 2 +- examples/ring_disk/ring_disk_flux.json | 2 +- palace/drivers/basesolver.cpp | 13 +++-- palace/drivers/basesolver.hpp | 10 ++-- palace/drivers/magnetostaticsolver.cpp | 52 ++++++++++-------- palace/models/curlcurloperator.cpp | 24 ++++---- palace/models/curlcurloperator.hpp | 11 ++-- palace/models/surfacecurlsolver.cpp | 39 ++++++------- palace/models/surfacefluxoperator.cpp | 2 +- palace/models/surfacefluxoperator.hpp | 2 +- palace/utils/configfile.cpp | 8 +-- palace/utils/configfile.hpp | 10 ++-- palace/utils/iodata.cpp | 28 +++++----- scripts/schema/config-schema.json | 4 +- .../circular_hole_london/circular_hole.json | 2 +- .../circular_hole_nc_amr.json | 2 +- .../input/double_hole_london/double_hole.json | 4 +- .../input/square_hole/square_hole.json | 2 +- test/unit/regression/cases.cpp | 10 ++-- test/unit/test-config.cpp | 4 +- 26 files changed, 141 insertions(+), 122 deletions(-) create mode 100644 examples/circular_hole/mesh/rect_hole.msh diff --git a/docs/src/examples/circular_hole.md b/docs/src/examples/circular_hole.md index 95470f54710..77c44f27e94 100644 --- a/docs/src/examples/circular_hole.md +++ b/docs/src/examples/circular_hole.md @@ -38,7 +38,7 @@ currents remain free to redistribute near the hole. Whether a film screens perfectly or penetrates is set by how its attribute is declared: - - **Perfect conductor (``\lambda \to 0``).** A film attribute listed under `"FluxLoopPEC"` + - **Perfect conductor (``\lambda \to 0``).** A film attribute listed under `"FilmAttributes"` only is treated as a perfect screen: the flux-expulsion condition ``\mathbf{B}\cdot\mathbf{n} = 0`` holds together with the fluxoid, and the extracted inductance is purely **geometric**. @@ -133,7 +133,7 @@ plates each containing a hole: The `square_hole.json` configuration provides a check against a known closed-form result. It models a square washer with a central square hole of side ``d = 2\,\mu\text{m}`` and border width ``W = 6\,\mu\text{m}`` (`mesh/square_hole.msh`, -generated by `mesh/square_hole_mesh.jl`). The film attribute is listed under `"FluxLoopPEC"` but +generated by `mesh/square_hole_mesh.jl`). The film attribute is listed under `"FilmAttributes"` but *not* under `"Superconductor"`, so it is solved in the perfect-screening (``\lambda\to0``) limit: ```json @@ -141,7 +141,7 @@ generated by `mesh/square_hole_mesh.jl`). The film attribute is listed under `"F [ { "Index": 1, - "FluxLoopPEC": [8], + "FilmAttributes": [8], "HoleAttributes": [9], "FluxAmounts": [1.0], "Direction": "+Z" @@ -180,7 +180,7 @@ nondimensional flux-loop amplitude is prescribed through the hole: [ { "Index": 1, - "FluxLoopPEC": [8], + "FilmAttributes": [8], "HoleAttributes": [9], "FluxAmounts": [1.0], "Direction": "+Z" @@ -190,7 +190,7 @@ nondimensional flux-loop amplitude is prescribed through the hole: The fields have the following meaning: - - `"FluxLoopPEC"`: boundary attributes of the metal film carrying the flux loop. + - `"FilmAttributes"`: boundary attributes of the metal film carrying the flux loop. - `"HoleAttributes"`: boundary attribute of the hole perimeter where the integral constraint is applied (exactly one per flux loop). - `"FluxAmounts"`: prescribed nondimensional flux-loop amplitude through the hole. @@ -263,14 +263,14 @@ film, each treated as an independent flux loop: [ { "Index": 1, - "FluxLoopPEC": [8], + "FilmAttributes": [8], "HoleAttributes": [9], "FluxAmounts": [1.0], "Direction": [0.0, 0.0, 1.0] }, { "Index": 2, - "FluxLoopPEC": [8], + "FilmAttributes": [8], "HoleAttributes": [10], "FluxAmounts": [1.0], "Direction": [0.0, 0.0, 1.0] @@ -337,7 +337,7 @@ Again, the computed flux through each hole matches the prescribed values: ## Two holes on separate plates The `double_circular_hole_multi_planes.json` configuration places each hole on its own spatially -separated London film, each with a distinct `"FluxLoopPEC"` attribute (both films appear in the +separated London film, each with a distinct `"FilmAttributes"` attribute (both films appear in the shared `"Superconductor"` block): ```json @@ -353,14 +353,14 @@ shared `"Superconductor"` block): [ { "Index": 1, - "FluxLoopPEC": [8], + "FilmAttributes": [8], "HoleAttributes": [9], "FluxAmounts": [1.0], "Direction": [0.0, 0.0, 1.0] }, { "Index": 2, - "FluxLoopPEC": [10], + "FilmAttributes": [10], "HoleAttributes": [11], "FluxAmounts": [1.0], "Direction": [0.0, 0.0, 1.0] diff --git a/examples/circular_hole/circular_hole.json b/examples/circular_hole/circular_hole.json index 454f516f6c8..e5cdad960cb 100644 --- a/examples/circular_hole/circular_hole.json +++ b/examples/circular_hole/circular_hole.json @@ -55,7 +55,7 @@ [ { "Index": 1, - "FluxLoopPEC": [8], + "FilmAttributes": [8], "HoleAttributes": [9], "FluxAmounts": [1.0], // nondimensional flux-loop excitation amplitude "Direction": "+Z" diff --git a/examples/circular_hole/double_circular_hole_multi_flux.json b/examples/circular_hole/double_circular_hole_multi_flux.json index 690c3ef0469..21571193b89 100644 --- a/examples/circular_hole/double_circular_hole_multi_flux.json +++ b/examples/circular_hole/double_circular_hole_multi_flux.json @@ -55,14 +55,14 @@ [ { "Index": 1, - "FluxLoopPEC": [8], + "FilmAttributes": [8], "HoleAttributes": [9], "FluxAmounts": [1.0], // nondimensional flux-loop excitation amplitude "Direction": [0.0, 0.0, 1.0] }, { "Index": 2, - "FluxLoopPEC": [8], + "FilmAttributes": [8], "HoleAttributes": [10], "FluxAmounts": [1.0], // nondimensional flux-loop excitation amplitude "Direction": [0.0, 0.0, 1.0] diff --git a/examples/circular_hole/double_circular_hole_multi_planes.json b/examples/circular_hole/double_circular_hole_multi_planes.json index e787f9b695e..e736ddef03f 100644 --- a/examples/circular_hole/double_circular_hole_multi_planes.json +++ b/examples/circular_hole/double_circular_hole_multi_planes.json @@ -55,14 +55,14 @@ [ { "Index": 1, - "FluxLoopPEC": [8], + "FilmAttributes": [8], "HoleAttributes": [9], "FluxAmounts": [1.0], // nondimensional flux-loop excitation amplitude "Direction": [0.0, 0.0, 1.0] }, { "Index": 2, - "FluxLoopPEC": [10], + "FilmAttributes": [10], "HoleAttributes": [11], "FluxAmounts": [1.0], "Direction": [0.0, 0.0, 1.0] diff --git a/examples/circular_hole/mesh/rect_hole.msh b/examples/circular_hole/mesh/rect_hole.msh new file mode 100644 index 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zYM7%Phv%H!-G1RXU&m#EhRoDA7=lHX9oEa3yp@YrQj>8`r=cl#J@%iLr<dQ-V2xUjtp1yoAK(JJ3@77sXi;~bz;o#QRZmJ;dhVm9c}Ji)wsLrva#}hSJvxt zOgId71FdU!$C^7vG0s)L7s>7s{nj%_I}U$iltb7S6) zGdEDCw#)?eTPwzQd^il2XM}maCz!ic?Q0a1{W!ZbJ{PQus6U{AEdvA?vEA^e< zcQ*=$!M+po(b(Ljiq~1~+~>A7bEo}Nhmmrn+M0yJVDmn>P0ih*9C~TpH@DG%o8$9Det&U@w)|Z0lyDgAtjOb3b9|my z#N)Rhp6_Ylig?-Y>E`+>-!GLzC*_j&bvYv(2K#&D+rnH!9m_gvTz|I!$I9dtBT+;@ZDQswWcI)y8KZ#71Fd%Vu(uGRP^sn5&Q_uA;UOE?U6 zM&!}e+&`cHX-)IF-gZ&vZsutJLJpsw|D9)!&!6Ad@phpOc=@?<_iz~O9U72zaHjj$KiL5JbIerelkC)Zd|7@Cf*k=2#3Mm8SC^ybDyZc4RrohL0c{U zt@W)#+&{po!d~Gp*w&G6Z*zR!^q|asvTefk35UVv z=S_Xh-KlZ&oNB&@tr6?=5_7Z{&$F(mntQ(e%yCZ@?y=HdW9uLD(LWppdv?UT)LdJ& zl`04N{z&yPh>a2V_^nj3}wcfTBEZl2n!C=PMw w>)-CKG)FrQ-#gad=y3Nc2VBOx${g)D;u5b?)#H11JpTMnJv#O5-K*0715IMA&Hw-a literal 0 HcmV?d00001 diff --git a/examples/circular_hole/square_hole.json b/examples/circular_hole/square_hole.json index 411e27083ea..ac79885d3a9 100644 --- a/examples/circular_hole/square_hole.json +++ b/examples/circular_hole/square_hole.json @@ -40,7 +40,7 @@ [ { "Index": 1, - "FluxLoopPEC": [8], // λ→0 washer: auto-routed through the range-space two-solve + "FilmAttributes": [8], // λ→0 washer: auto-routed through the range-space two-solve "HoleAttributes": [9], "FluxAmounts": [1.0], // nondimensional flux-loop excitation amplitude "Direction": "+Z" diff --git a/examples/ring_disk/ring_disk.json b/examples/ring_disk/ring_disk.json index 935d12bc889..8a0014a6fa2 100644 --- a/examples/ring_disk/ring_disk.json +++ b/examples/ring_disk/ring_disk.json @@ -48,7 +48,7 @@ [ { "Index": 2, - "FluxLoopPEC": [5], // Disk metal + "FilmAttributes": [5], // Disk metal "HoleAttributes": [6], // Hole through the disk "FluxAmounts": [1.0], "Direction": "+Z" diff --git a/examples/ring_disk/ring_disk_flux.json b/examples/ring_disk/ring_disk_flux.json index c0b572de2b8..d2e220e051b 100644 --- a/examples/ring_disk/ring_disk_flux.json +++ b/examples/ring_disk/ring_disk_flux.json @@ -32,7 +32,7 @@ [ { "Index": 2, - "FluxLoopPEC": [5], // Disk metal + "FilmAttributes": [5], // Disk metal "HoleAttributes": [6], // Hole through the disk "FluxAmounts": [1.0], "Direction": "+Z" diff --git a/palace/drivers/basesolver.cpp b/palace/drivers/basesolver.cpp index 2ab96b9ccaf..f67ab39f3be 100644 --- a/palace/drivers/basesolver.cpp +++ b/palace/drivers/basesolver.cpp @@ -354,12 +354,13 @@ void BaseSolver::SolveEstimateMarkRefine(std::vector> &mes if (!solve_converged_) { // Solver could not converge on the refined mesh (e.g. the fluxoid solve as the mesh - // grows). Halt adaptation and retain the previous, converged iteration's output rather - // than aborting the run or reporting an unreliable result. - Mpi::Warning(comm, - "Solve did not converge after refinement iteration {:d}; halting AMR and " - "keeping the last converged iteration!\n", - it); + // grows). Halt adaptation and retain the previous, converged iteration's output + // rather than aborting the run or reporting an unreliable result. + Mpi::Warning( + comm, + "Solve did not converge after refinement iteration {:d}; halting AMR and " + "keeping the last converged iteration!\n", + it); break; } err = indicators.Norml2(comm); diff --git a/palace/drivers/basesolver.hpp b/palace/drivers/basesolver.hpp index 93891abea00..49dff502ecc 100644 --- a/palace/drivers/basesolver.hpp +++ b/palace/drivers/basesolver.hpp @@ -46,13 +46,13 @@ class BaseSolver Solve(const std::vector> &mesh) const = 0; // Set false by Solve when a linear solve fails to converge, or when the London kinetic - // penalty energy spikes (a stiff λ→0 penalty the solver cannot resolve on a refined mesh). - // Lets SolveEstimateMarkRefine halt adaptation gracefully, keeping the last converged - // iteration, instead of aborting or reporting a collapsed inductance. + // penalty energy spikes (a stiff λ→0 penalty the solver cannot resolve on a refined + // mesh). Lets SolveEstimateMarkRefine halt adaptation gracefully, keeping the last + // converged iteration, instead of aborting or reporting a collapsed inductance. mutable bool solve_converged_ = true; - // Previous adaptation iteration's total London kinetic energy S(A_t − a_h), for detecting an - // anomalous spike; negative until the first London solve sets it. + // Previous adaptation iteration's total London kinetic energy S(A_t − a_h), for detecting + // an anomalous spike; negative until the first London solve sets it. mutable double prev_london_kinetic_ = -1.0; public: diff --git a/palace/drivers/magnetostaticsolver.cpp b/palace/drivers/magnetostaticsolver.cpp index 7479df6f01b..43e9827c23f 100644 --- a/palace/drivers/magnetostaticsolver.cpp +++ b/palace/drivers/magnetostaticsolver.cpp @@ -163,18 +163,20 @@ MagnetostaticSolver::Solve(const std::vector> &mesh) const MFEM_VERIFY(n_step > 0, "No surface current boundaries or flux loops specified for " "magnetostatic simulation!"); - // A London loop's drive a_h is built directly on the 3D ND space and is nonconformal-safe. - // Only the legacy 2D submesh path needs global edge indexing, which NC meshes lack. + // A London loop's drive a_h is built directly on the 3D ND space and is + // nonconformal-safe. Only the legacy 2D submesh path needs global edge indexing, which NC + // meshes lack. { int n_submesh_flux_steps = 0; for (const auto &[idx, data] : curlcurl_op.GetSurfaceFluxOp()) { n_submesh_flux_steps += !curlcurl_op.IsLondonFluxLoop(idx); } - MFEM_VERIFY(n_submesh_flux_steps == 0 || iodata.model.refinement.max_it == 0 || - !iodata.model.refinement.nonconformal, - "Non-London flux loop excitation is only supported with conformal adaptation " - "or no adaptation!"); + MFEM_VERIFY( + n_submesh_flux_steps == 0 || iodata.model.refinement.max_it == 0 || + !iodata.model.refinement.nonconformal, + "Non-London flux loop excitation is only supported with conformal adaptation " + "or no adaptation!"); } // Source term and solution vector storage. @@ -342,19 +344,22 @@ MagnetostaticSolver::Solve(const std::vector> &mesh) const MFEM_ASSERT(A_p_london.Size() == RHS.Size(), "London scratch vector size mismatch!"); // Zero the scratch vectors before each solve. Magnetostatics defaults to a nonzero - // initial guess (iodata.cpp), and these vectors are reused across flux steps; a stale - // guess carrying a gradient/near-null-space component intermittently stalls CG on the - // gauge-singular operator K = K_cc + M_sheet (the fluxoid RHS c = Curlᵀf is marginally - // conditioned), producing a garbage A_h whose bad energy is injected via α·A_h. A - // clean zero start makes both solves robust and partition-/roundoff-independent. + // initial guess (iodata.cpp), and these vectors are reused across flux steps; a + // stale guess carrying a gradient/near-null-space component intermittently stalls + // CG on the gauge-singular operator K = K_cc + M_sheet (the fluxoid RHS c = Curlᵀf + // is marginally conditioned), producing a garbage A_h whose bad energy is injected + // via α·A_h. A clean zero start makes both solves robust and + // partition-/roundoff-independent. A_p_london = 0.0; ksp.Mult(RHS, A_p_london); if (!ksp.GetConverged()) { // Return unconverged so SolveEstimateMarkRefine can halt adaptation and keep the - // last converged iteration. Bail before postprocessing so no unreliable inductance - // is written; the initial-solve check downstream still fails loud with no fallback. - Mpi::Warning("London solve A_p = K⁻¹b did not converge for flux loop {:d}!\n", idx); + // last converged iteration. Bail before postprocessing so no unreliable + // inductance is written; the initial-solve check downstream still fails loud with + // no fallback. + Mpi::Warning("London solve A_p = K⁻¹b did not converge for flux loop {:d}!\n", + idx); solve_converged_ = false; return {indicator, curlcurl_op.GlobalTrueVSize()}; } @@ -363,7 +368,8 @@ MagnetostaticSolver::Solve(const std::vector> &mesh) const ksp.Mult(RHS_c_london, A_h_london); if (!ksp.GetConverged()) { - Mpi::Warning("London solve A_h = K⁻¹c did not converge for flux loop {:d}!\n", idx); + Mpi::Warning("London solve A_h = K⁻¹c did not converge for flux loop {:d}!\n", + idx); solve_converged_ = false; return {indicator, curlcurl_op.GlobalTrueVSize()}; } @@ -376,9 +382,10 @@ MagnetostaticSolver::Solve(const std::vector> &mesh) const A[step] = A_p_london; A[step].Add(alpha, A_h_london); - // Accumulate the kinetic penalty energy S(A_t − a_h) = (A − a_h)ᵀ M_sheet (A − a_h), - // formed directly (not via the cancellation-prone S(A,A) − 2S(A,a_h) + S(a_h,a_h)) so - // it is trustworthy even when the stiff-penalty solve is under-resolved. + // Accumulate the kinetic penalty energy S(A_t − a_h) = (A − a_h)ᵀ M_sheet (A − + // a_h), formed directly (not via the cancellation-prone S(A,A) − 2S(A,a_h) + + // S(a_h,a_h)) so it is trustworthy even when the stiff-penalty solve is + // under-resolved. Vector d(A[step]), msd(A[step].Size()); msd.UseDevice(true); d -= boundary_values; @@ -406,10 +413,11 @@ MagnetostaticSolver::Solve(const std::vector> &mesh) const if (prev_london_kinetic_ > 0.0 && london_kinetic > london_kinetic_growth * prev_london_kinetic_) { - Mpi::Warning(curlcurl_op.GetComm(), - "London kinetic energy jumped {:.2e}x after refinement ({:.3e} -> {:.3e}); " - "the stiff-penalty solve is under-resolved!\n", - london_kinetic / prev_london_kinetic_, prev_london_kinetic_, london_kinetic); + Mpi::Warning( + curlcurl_op.GetComm(), + "London kinetic energy jumped {:.2e}x after refinement ({:.3e} -> {:.3e}); " + "the stiff-penalty solve is under-resolved!\n", + london_kinetic / prev_london_kinetic_, prev_london_kinetic_, london_kinetic); solve_converged_ = false; return {indicator, curlcurl_op.GlobalTrueVSize()}; } diff --git a/palace/models/curlcurloperator.cpp b/palace/models/curlcurloperator.cpp index 2be4af9650f..91af5257fff 100644 --- a/palace/models/curlcurloperator.cpp +++ b/palace/models/curlcurloperator.cpp @@ -24,9 +24,10 @@ namespace { // ±1 aligning the boundary-face normal with the flux loop direction. A hole aperture is an -// *internal* surface, whose face orientations the mesh need not make consistent (EnsureNCMesh -// scrambles them, and some generators emit them mixed), which would otherwise make c measure -// only part of the aperture. Matches ComputeFluxThroughSurface's DIRECTION_BASED convention. +// *internal* surface, whose face orientations the mesh need not make consistent +// (EnsureNCMesh scrambles them, and some generators emit them mixed), which would otherwise +// make c measure only part of the aperture. Matches ComputeFluxThroughSurface's +// DIRECTION_BASED convention. class FluxOrientationCoefficient : public mfem::Coefficient { private: @@ -105,12 +106,13 @@ CurlCurlOperator::CurlCurlOperator(const IoData &iodata, { surf_flux_op = SurfaceFluxOperator(iodata); - // Identify London flux films (FluxLoopPEC ∩ Superconductor). For these the whole film is - // a free unknown governed by the sheet term; the flux excitation uses the shifted London - // penalty (RHS = M_sheet·a_h in GetFluxExcitationVector), not the whole-film PEC clamp. + // Identify London flux films (FilmAttributes ∩ Superconductor). For these the whole film + // is a free unknown governed by the sheet term; the flux excitation uses the shifted + // London penalty (RHS = M_sheet·a_h in GetFluxExcitationVector), not the whole-film PEC + // clamp. for (const auto &[idx, data] : surf_flux_op) { - for (int attr : data.fluxloop_pec) + for (int attr : data.film_attributes) { if (london_flux_film_attr_.count(attr)) { @@ -168,7 +170,7 @@ mfem::Array CurlCurlOperator::SetUpBoundaryProperties( } dbc_bcs.Append(attr); } - // Superconductor-sheet attributes (finite-λ films). A FluxLoopPEC film that is also a + // Superconductor-sheet attributes (finite-λ films). A film that is also a // superconductor sheet is a "London flux film": its whole surface is a free unknown // governed by the sheet term, so it is NOT marked essential here. Its hole fluxoid is an // integral constraint enforced by the range-space two-solve. @@ -185,10 +187,10 @@ mfem::Array CurlCurlOperator::SetUpBoundaryProperties( std::set flux_attrs; for (const auto &[idx, data] : fluxloop) { - for (auto attr : data.fluxloop_pec) + for (auto attr : data.film_attributes) { MFEM_VERIFY(attr > 0 && attr <= bdr_attr_max && bdr_attr_marker[attr - 1], - "Unknown FluxLoopPEC boundary attribute " + "Unknown FilmAttributes boundary attribute " << attr << " for FluxLoop index " << idx << "!"); if (sc_attrs.count(attr)) { @@ -224,7 +226,7 @@ void CurlCurlOperator::SetUpLondonFluxConstraints() // ∫_hole B·n is a well-defined face functional. In 2D curl maps to a scalar L2 space and // this construction does not apply. MFEM_VERIFY(!l2_curl_fespace, - "London flux films (FluxLoopPEC ∩ Superconductor) require a 3D mesh!"); + "London flux films (FilmAttributes ∩ Superconductor) require a 3D mesh!"); const auto &pmesh = static_cast(GetMesh()); const Operator &curl = GetCurlMatrix(); diff --git a/palace/models/curlcurloperator.hpp b/palace/models/curlcurloperator.hpp index 726fc44eb02..4dc9f82ad48 100644 --- a/palace/models/curlcurloperator.hpp +++ b/palace/models/curlcurloperator.hpp @@ -51,10 +51,11 @@ class CurlCurlOperator // Helper variable for log file printing. bool print_hdr; - // FluxLoopPEC film attributes that are also Superconductor sheets ("London flux films"). - // Their whole surface is a free unknown; the hole fluxoid is realized through the sheet - // penalty, not by pinning DOFs. Declared before dbc_attr because SetUpBoundaryProperties - // (which initializes dbc_attr) populates this set, so it must be constructed first. + // Film attributes (from FilmAttributes) that are also Superconductor sheets ("London flux + // films"). Their whole surface is a free unknown; the hole fluxoid is realized through + // the sheet penalty, not by pinning DOFs. Declared before dbc_attr because + // SetUpBoundaryProperties (which initializes dbc_attr) populates this set, so it must be + // constructed first. std::set london_flux_film_attr_; // Essential boundary condition attributes. @@ -102,7 +103,7 @@ class CurlCurlOperator // sheet term). Used for the pure-PEC flux-loop RHS lift. mutable std::unique_ptr K_orig_; - // Flux-loop indices whose FluxLoopPEC film is (partly) a Superconductor sheet — i.e. + // Flux-loop indices whose film is (partly) a Superconductor sheet — i.e. // London flux films. Populated at construction after surf_flux_op is set. std::set london_flux_loops_; diff --git a/palace/models/surfacecurlsolver.cpp b/palace/models/surfacecurlsolver.cpp index 3ebcc944f30..3553fde4f62 100644 --- a/palace/models/surfacecurlsolver.cpp +++ b/palace/models/surfacecurlsolver.cpp @@ -44,10 +44,10 @@ namespace // PALACE_LONDON_AH=angle selects the smooth representative a_h = (Φ/2π)∇θ, // θ = atan2(y-cy, x-cx), whose exact DOF ∫_e ∇θ·t is the angle subtended at L. It carries // the fluxoid exactly (verified to 4e-15) but is NOT interchangeable with the cut cochain: -// the two differ by ∇ψ, ψ = (Φ/2π)θ_branch, which does not vanish on the PEC outer walls, so -// A → A + ∇ψ is inadmissible and L is not invariant. Its large smooth a_h|Σ lets the film -// phase gradient absorb the fluxoid at near-zero kinetic cost, collapsing the screening -// current (square_hole: 109× low). Diagnostic use only. +// the two differ by ∇ψ, ψ = (Φ/2π)θ_branch, which does not vanish on the PEC outer walls, +// so A → A + ∇ψ is inadmissible and L is not invariant. Its large smooth a_h|Σ lets the +// film phase gradient absorb the fluxoid at near-zero kinetic cost, collapsing the +// screening current (square_hole: 109× low). Diagnostic use only. Vector BuildCutCohomologyGenerator(const SurfaceFluxData &flux_data, const mfem::ParFiniteElementSpace &ndp_fespace, const Mesh &mesh) @@ -125,26 +125,26 @@ Vector BuildCutCohomologyGenerator(const SurfaceFluxData &flux_data, { cx += 3.7e-3 * r_max; cy += 2.3e-3 * r_max; - Mpi::Print(" London a_h: flux line met a hole vertex, offset to ({:.6e}, {:.6e})\n", cx, - cy); + Mpi::Print(" London a_h: flux line met a hole vertex, offset to ({:.6e}, {:.6e})\n", + cx, cy); } } // Lowest-order (Whitney) cochain on an ND_1 space over the full 3D mesh. Each rank sets // its local edge DOFs from vertex COORDINATES (identical on all ranks for a shared edge) - // in the canonical GetEdgeVertices orientation (ev0→ev1), so the owner's true-DOF value is - // correct and GetTrueDofs needs no cross-rank sign reconciliation. + // in the canonical GetEdgeVertices orientation (ev0→ev1), so the owner's true-DOF value + // is correct and GetTrueDofs needs no cross-rank sign reconciliation. mfem::ND_FECollection nd1_fec(1, sdim); mfem::ParFiniteElementSpace nd1_fespace(&pmesh, &nd1_fec); mfem::ParGridFunction ah1(&nd1_fespace); ah1.UseDevice(false); ah1 = 0.0; - // Nodal branch-cut potential ψ = (Φ/2π)·atan2(d, -s), whose branch discontinuity is exactly - // the cut half-plane, so cut = Grad ψ - a_angle. Carrying the O(1) step as a discrete - // gradient is what makes this non-conformal-safe: Grad of a *conformed* H1 function is - // exactly conforming and exactly curl-free, whereas a step written on edges is neither, and - // cᵀGrad = 0 identically, so ψ cannot perturb the circulation. + // Nodal branch-cut potential ψ = (Φ/2π)·atan2(d, -s), whose branch discontinuity is + // exactly the cut half-plane, so cut = Grad ψ - a_angle. Carrying the O(1) step as a + // discrete gradient is what makes this non-conformal-safe: Grad of a *conformed* H1 + // function is exactly conforming and exactly curl-free, whereas a step written on edges + // is neither, and cᵀGrad = 0 identically, so ψ cannot perturb the circulation. mfem::H1_FECollection h1_fec(1, sdim); mfem::ParFiniteElementSpace h1_fespace(&pmesh, &h1_fec); mfem::ParGridFunction psi(&h1_fespace); @@ -193,10 +193,11 @@ Vector BuildCutCohomologyGenerator(const SurfaceFluxData &flux_data, } // Conform the cochain before projecting. Grad ψ is a discrete gradient of a conformed H1 - // function, so it survives the round trip exactly (circulation and curl-free-on-Σ intact); - // only the smooth a_angle term is re-interpolated onto slaves. On a non-conformal mesh that - // leaves a small residual curl on Σ near graded refinement, which the range-space two-solve - // absorbs (does not affect L); on a conformal mesh a_h is the exact integer step, curl-free. + // function, so it survives the round trip exactly (circulation and curl-free-on-Σ + // intact); only the smooth a_angle term is re-interpolated onto slaves. On a + // non-conformal mesh that leaves a small residual curl on Σ near graded refinement, which + // the range-space two-solve absorbs (does not affect L); on a conformal mesh a_h is the + // exact integer step, curl-free. { mfem::Vector t(nd1_fespace.GetTrueVSize()); t.UseDevice(false); @@ -260,14 +261,14 @@ void SolveSurfaceCurlProblem(const SurfaceFluxData &flux_data, const IoData &iod // Extract metal surface and hole attributes from flux_data mfem::Array metal_surface_attrs; - for (int metal_attr : flux_data.fluxloop_pec) + for (int metal_attr : flux_data.film_attributes) { metal_surface_attrs.Append(metal_attr); } // Validate that we have at least one metal surface attribute MFEM_VERIFY(metal_surface_attrs.Size() > 0, - "At least one metal surface attribute must be specified in FluxLoopPEC!"); + "At least one metal surface attribute must be specified in FilmAttributes!"); mfem::Array hole_surface_attrs; for (int hole_attr : flux_data.hole_attributes) { diff --git a/palace/models/surfacefluxoperator.cpp b/palace/models/surfacefluxoperator.cpp index 9a2ea22144c..e35cffe8537 100644 --- a/palace/models/surfacefluxoperator.cpp +++ b/palace/models/surfacefluxoperator.cpp @@ -12,7 +12,7 @@ namespace palace SurfaceFluxData::SurfaceFluxData(const config::FluxLoopData &data) : hole_attributes(data.hole_attributes), flux_amounts(data.flux_amounts), - fluxloop_pec(data.fluxloop_pec), + film_attributes(data.film_attributes), direction(data.direction.begin(), data.direction.end()), regularization(data.regularization) { diff --git a/palace/models/surfacefluxoperator.hpp b/palace/models/surfacefluxoperator.hpp index bfd5400c3d0..9a7f3fc3869 100644 --- a/palace/models/surfacefluxoperator.hpp +++ b/palace/models/surfacefluxoperator.hpp @@ -30,7 +30,7 @@ class SurfaceFluxData public: std::vector hole_attributes; std::vector flux_amounts; - std::vector fluxloop_pec; + std::vector film_attributes; std::vector direction; double regularization; diff --git a/palace/utils/configfile.cpp b/palace/utils/configfile.cpp index ef5318f4c55..37af9b85bcb 100644 --- a/palace/utils/configfile.cpp +++ b/palace/utils/configfile.cpp @@ -905,10 +905,10 @@ FarFieldPostData::FarFieldPostData(const json &farfield) } FluxLoopData::FluxLoopData(const json &fluxloop) { - MFEM_VERIFY(fluxloop.find("FluxLoopPEC") != fluxloop.end(), - "Missing \"FluxLoopPEC\" for \"FluxLoop\" boundary!"); - fluxloop_pec = fluxloop.at("FluxLoopPEC").get>(); - std::sort(fluxloop_pec.begin(), fluxloop_pec.end()); + MFEM_VERIFY(fluxloop.find("FilmAttributes") != fluxloop.end(), + "Missing \"FilmAttributes\" for \"FluxLoop\" boundary!"); + film_attributes = fluxloop.at("FilmAttributes").get>(); + std::sort(film_attributes.begin(), film_attributes.end()); MFEM_VERIFY(fluxloop.find("HoleAttributes") != fluxloop.end(), "Missing \"HoleAttributes\" for \"FluxLoop\" boundary!"); diff --git a/palace/utils/configfile.hpp b/palace/utils/configfile.hpp index 54bb7dee016..b1b54524c6c 100644 --- a/palace/utils/configfile.hpp +++ b/palace/utils/configfile.hpp @@ -781,7 +781,7 @@ struct FluxLoopData { public: // List of boundary attributes for the metal surface. - std::vector fluxloop_pec = {}; + std::vector film_attributes = {}; // List of boundary attributes for holes (one per hole). std::vector hole_attributes = {}; @@ -795,8 +795,9 @@ struct FluxLoopData // Regularization parameter for curl-curl system stability. double regularization = 1e-6; - // Effective λ⊥ [mesh units] for a FluxLoopPEC film not declared Superconductor: models it as - // the λ→0 London limit (auto-registered SC sheet, solved by the two-solve). + // Effective λ⊥ [mesh units] for a film listed in FilmAttributes but not declared a + // Superconductor: models it as the λ→0 London limit (auto-registered SC sheet, solved by + // the two-solve). double pec_lperp = 1.0e-4; FluxLoopData() = default; @@ -1138,7 +1139,8 @@ struct LinearSolverData int ams_singular_op = -1; // Preconditioner-only gauge shift for the London (superconductor sheet) magnetostatic - // operator. When a London flux film is present the shifted-penalty operator K̃ = A_curlcurl + // operator. When a London flux film is present the shifted-penalty operator K̃ = + // A_curlcurl // + (1/L_ksq) M_sheet has a residual 1-D gradient null space (film-constant potential), // which stalls/diverges AMS in parallel. This adds london_pc_shift · (1/µ) ∫|A|² as a // volume mass to the PRECONDITIONER matrix ONLY (the actual operator, solution and diff --git a/palace/utils/iodata.cpp b/palace/utils/iodata.cpp index caaf07ba71a..e392ab04055 100644 --- a/palace/utils/iodata.cpp +++ b/palace/utils/iodata.cpp @@ -579,11 +579,12 @@ void IoData::CheckConfiguration() { solver.linear.mg_smooth_order = std::max(2 * solver.order, 4); } - // Auto-register a FluxLoopPEC film that is NOT declared a Superconductor sheet as the λ→0 - // London limit: a superconductor sheet with a small effective L_ksq = λ⊥ (set λ = d = λ⊥ so - // λ²/d = λ⊥). This routes the film through the range-space two-solve (rigorous fluxoid + B·n=0, - // gauge-invariant, partition-independent) instead of the whole-film Dirichlet clamp. Runs - // before the ams_singular_op default below so the film is seen as a London film. + // Auto-register a film listed in FilmAttributes but not declared a Superconductor sheet + // as the λ→0 London limit: a superconductor sheet with a small effective L_ksq = λ⊥ (set + // λ = d = λ⊥ so λ²/d = λ⊥). This routes the film through the range-space two-solve + // (rigorous fluxoid + B·n=0, gauge-invariant, partition-independent) instead of the + // whole-film Dirichlet clamp. Runs before the ams_singular_op default below so the film + // is seen as a London film. if (problem.type == ProblemType::MAGNETOSTATIC) { std::set sc_attrs; @@ -596,7 +597,7 @@ void IoData::CheckConfiguration() } for (const auto &[idx, fl] : boundaries.fluxloop) { - for (auto attr : fl.fluxloop_pec) + for (auto attr : fl.film_attributes) { if (!sc_attrs.count(attr)) { @@ -612,12 +613,13 @@ void IoData::CheckConfiguration() } if (solver.linear.ams_singular_op < 0) { - // A London flux film (a FluxLoopPEC boundary that is also a Superconductor sheet) leaves - // the film interior free, so the shifted-penalty operator K̃ = A_curlcurl + (1/L_ksq) - // M_sheet keeps a residual 1-D gradient null space and is NOT the pure singular curl-curl - // operator: singular-AMS (which skips gradient G-space corrections) then stalls/diverges - // in parallel. For that case default AMSSingularOperator=false so AMS does the G-space - // corrections, which are well-posed against the preconditioner gauge shift (LondonPCShift). + // A London flux film (a FilmAttributes boundary that is also a Superconductor sheet) + // leaves the film interior free, so the shifted-penalty operator K̃ = A_curlcurl + + // (1/L_ksq) M_sheet keeps a residual 1-D gradient null space and is NOT the pure + // singular curl-curl operator: singular-AMS (which skips gradient G-space corrections) + // then stalls/diverges in parallel. For that case default AMSSingularOperator=false so + // AMS does the G-space corrections, which are well-posed against the preconditioner + // gauge shift (LondonPCShift). bool has_london_film = false; if (problem.type == ProblemType::MAGNETOSTATIC) { @@ -631,7 +633,7 @@ void IoData::CheckConfiguration() } for (const auto &[idx, fl] : boundaries.fluxloop) { - for (auto attr : fl.fluxloop_pec) + for (auto attr : fl.film_attributes) { if (sc_attrs.count(attr)) { diff --git a/scripts/schema/config-schema.json b/scripts/schema/config-schema.json index 22f4b9b3fc3..43180ba36a5 100644 --- a/scripts/schema/config-schema.json +++ b/scripts/schema/config-schema.json @@ -1587,7 +1587,7 @@ "additionalProperties": false, "required": [ "Index", - "FluxLoopPEC", + "FilmAttributes", "HoleAttributes", "FluxAmounts", "Direction" @@ -1598,7 +1598,7 @@ "description": "Index of this flux loop, used in postprocessing output files.", "exclusiveMinimum": 0 }, - "FluxLoopPEC": { + "FilmAttributes": { "$ref": "#/$defs/Attributes", "description": "Integer array of mesh boundary attributes for the metal surface on which the 2D surface curl problem is solved." }, diff --git a/test/data/regression/input/circular_hole_london/circular_hole.json b/test/data/regression/input/circular_hole_london/circular_hole.json index a88cfd2aefa..d07353e5b1b 100644 --- a/test/data/regression/input/circular_hole_london/circular_hole.json +++ b/test/data/regression/input/circular_hole_london/circular_hole.json @@ -48,7 +48,7 @@ [ { "Index": 1, - "FluxLoopPEC": [8], + "FilmAttributes": [8], "HoleAttributes": [9], "FluxAmounts": [1.0], "Direction": "+Z" diff --git a/test/data/regression/input/circular_hole_london/circular_hole_nc_amr.json b/test/data/regression/input/circular_hole_london/circular_hole_nc_amr.json index b7f92854ca6..2bd3837ecb1 100644 --- a/test/data/regression/input/circular_hole_london/circular_hole_nc_amr.json +++ b/test/data/regression/input/circular_hole_london/circular_hole_nc_amr.json @@ -41,7 +41,7 @@ [ { "Index": 1, - "FluxLoopPEC": [8], + "FilmAttributes": [8], "HoleAttributes": [9], "FluxAmounts": [1.0], "Direction": "+Z" diff --git a/test/data/regression/input/double_hole_london/double_hole.json b/test/data/regression/input/double_hole_london/double_hole.json index 62941606da6..1ee23ce6362 100644 --- a/test/data/regression/input/double_hole_london/double_hole.json +++ b/test/data/regression/input/double_hole_london/double_hole.json @@ -48,14 +48,14 @@ [ { "Index": 1, - "FluxLoopPEC": [8], + "FilmAttributes": [8], "HoleAttributes": [9], "FluxAmounts": [1.0], "Direction": [0.0, 0.0, 1.0] }, { "Index": 2, - "FluxLoopPEC": [8], + "FilmAttributes": [8], "HoleAttributes": [10], "FluxAmounts": [1.0], "Direction": [0.0, 0.0, 1.0] diff --git a/test/data/regression/input/square_hole/square_hole.json b/test/data/regression/input/square_hole/square_hole.json index 29fe346b0ef..6670f8ab1b1 100644 --- a/test/data/regression/input/square_hole/square_hole.json +++ b/test/data/regression/input/square_hole/square_hole.json @@ -40,7 +40,7 @@ [ { "Index": 1, - "FluxLoopPEC": [8], + "FilmAttributes": [8], "HoleAttributes": [9], "FluxAmounts": [1.0], "Direction": "+Z" diff --git a/test/unit/regression/cases.cpp b/test/unit/regression/cases.cpp index b60ad9dcdc5..f15603c8398 100644 --- a/test/unit/regression/cases.cpp +++ b/test/unit/regression/cases.cpp @@ -240,7 +240,8 @@ TEST_CASE("circular_hole_london_flux", "[Serial][Parallel][GPU][Regression]") opts.excluded_columns = {"Maximum", "Minimum", "Mean"}; opts.paraview_fields = false; opts.linear_solver_policy = force_default_solver; - palace::test::RunRegressionCase("circular_hole_london", "circular_hole.json", "base", opts); + palace::test::RunRegressionCase("circular_hole_london", "circular_hole.json", "base", + opts); } // Two London holes on a shared film, each an independent flux loop. Locks the London-London @@ -258,9 +259,10 @@ TEST_CASE("double_hole_london_flux", "[Serial][Parallel][GPU][Regression]") } // London flux film under non-conformal AMR. Locks the NC-safe cut generator (a_h = Grad ψ - -// a_angle): Grad ψ survives the true-DOF round trip exactly, so the fluxoid and curl-free-on-Σ -// gauge hold on the refined mesh and L converges upward (5.16 -> 5.33 pH after one refinement). -// Omits [GPU]: adaptive cases skip GPU CI (cf. cpw_wave_adaptive, awslabs/palace#375). +// a_angle): Grad ψ survives the true-DOF round trip exactly, so the fluxoid and +// curl-free-on-Σ gauge hold on the refined mesh and L converges upward (5.16 -> 5.33 pH +// after one refinement). Omits [GPU]: adaptive cases skip GPU CI (cf. cpw_wave_adaptive, +// awslabs/palace#375). TEST_CASE("circular_hole_london_nc_amr", "[Serial][Parallel][Regression]") { palace::test::RegressionOptions opts; diff --git a/test/unit/test-config.cpp b/test/unit/test-config.cpp index 2a367eba053..7b3b7449ce9 100644 --- a/test/unit/test-config.cpp +++ b/test/unit/test-config.cpp @@ -507,7 +507,7 @@ TEST_CASE("Config Boundary Ports", "[config][Serial]") {"Aperture", {{"Attributes", {7}}, {"Direction", "+Z"}}}}}}, {"FluxLoop", {{{"Index", 2}, - {"FluxLoopPEC", {8}}, + {"FilmAttributes", {8}}, {"HoleAttributes", {9}}, {"FluxAmounts", {1.0}}, {"Direction", "+Z"}}}}}; @@ -773,7 +773,7 @@ TEST_CASE("Config Magnetostatic InactivePorts", "[config][Serial]") {"Aperture", {{"Attributes", {5}}, {"Direction", "+Z"}}}}}}, {"FluxLoop", {{{"Index", 2}, - {"FluxLoopPEC", {6}}, + {"FilmAttributes", {6}}, {"HoleAttributes", {7}}, {"FluxAmounts", {1.0}}, {"Direction", "+Z"}}}}}}, From d0761b0d321974bd2263f1fcf876da5efb1a520c Mon Sep 17 00:00:00 2001 From: Dzung Pham Date: Thu, 10 Sep 2026 14:38:19 -0700 Subject: [PATCH 24/27] Remove diagnostic env-var generator modes; add PecPenetrationDepth to schema MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Drop PALACE_LONDON_AH (incl. the physically-wrong 'angle' mode) and PALACE_CUT_DIR env switches; the cut cochain a_h = Grad ψ − a_angle is now the sole generator (cut shape is L-invariant). Add the parsed FluxLoop.PecPenetrationDepth key to the JSON schema so setting it validates. --- palace/models/surfacecurlsolver.cpp | 49 +++++++++-------------------- scripts/schema/config-schema.json | 6 ++++ 2 files changed, 21 insertions(+), 34 deletions(-) diff --git a/palace/models/surfacecurlsolver.cpp b/palace/models/surfacecurlsolver.cpp index 3553fde4f62..0ffe6b6c985 100644 --- a/palace/models/surfacecurlsolver.cpp +++ b/palace/models/surfacecurlsolver.cpp @@ -6,7 +6,6 @@ #include #include -#include #include #include #include "fem/bilinearform.hpp" @@ -36,18 +35,13 @@ namespace // circulation Φ; its gradient part is absorbable by A → A + ∇χ, so the extracted inductance // depends only on the cohomology class (Φ) and is gauge-invariant. // -// Default is a cut cochain: a lowest-order (Whitney) edge DOF of ±Φ across a cut half-plane -// S bounded by L (0 otherwise), projected into the order-p ND space (ND_1 ⊂ ND_p). -// PALACE_CUT_DIR orients S (default "y": S = {x=cx, y≥cy}; "x": S = {y=cy, x≥cx}). Overall -// sign is irrelevant: the downstream London normalization rescales a_h so cᵀa_h = Φ. -// -// PALACE_LONDON_AH=angle selects the smooth representative a_h = (Φ/2π)∇θ, -// θ = atan2(y-cy, x-cx), whose exact DOF ∫_e ∇θ·t is the angle subtended at L. It carries -// the fluxoid exactly (verified to 4e-15) but is NOT interchangeable with the cut cochain: -// the two differ by ∇ψ, ψ = (Φ/2π)θ_branch, which does not vanish on the PEC outer walls, -// so A → A + ∇ψ is inadmissible and L is not invariant. Its large smooth a_h|Σ lets the -// film phase gradient absorb the fluxoid at near-zero kinetic cost, collapsing the -// screening current (square_hole: 109× low). Diagnostic use only. +// a_h is the cut cochain a_h = Grad ψ − a_angle: a lowest-order (Whitney) edge DOF of ±Φ +// across the cut half-plane S = {x=cx, y≥cy} bounded by L (0 otherwise), projected into the +// order-p ND space (ND_1 ⊂ ND_p). It is formed as the discrete gradient of a conformed +// nodal branch potential ψ minus the smooth angle interpolant a_angle so it is +// non-conformal-safe (see below). The cut shape is irrelevant to L (orienting S along x vs +// y agrees to ~11 figures), as is the overall sign: the downstream normalization rescales +// a_h so cᵀa_h = Φ. Vector BuildCutCohomologyGenerator(const SurfaceFluxData &flux_data, const mfem::ParFiniteElementSpace &ndp_fespace, const Mesh &mesh) @@ -93,12 +87,6 @@ Vector BuildCutCohomologyGenerator(const SurfaceFluxData &flux_data, MFEM_VERIFY(cnt > 0.0, "No hole boundary elements found for London cut generator!"); double cx = csum[0] / cnt, cy = csum[1] / cnt; - // Generator choice and cut half-plane orientation (see function comment). - const char *ah_env = std::getenv("PALACE_LONDON_AH"); - const bool use_cut = !(ah_env && (ah_env[0] == 'a' || ah_env[0] == 'A')); - const char *cut_env = std::getenv("PALACE_CUT_DIR"); - const bool cut_x = (cut_env && (cut_env[0] == 'x' || cut_env[0] == 'X')); - { // θ is undefined on L. Measure the hole's radial extent and the closest approach of a // hole vertex to L, then shift L off any vertex sitting on it — any interior point of @@ -150,16 +138,13 @@ Vector BuildCutCohomologyGenerator(const SurfaceFluxData &flux_data, mfem::ParGridFunction psi(&h1_fespace); psi.UseDevice(false); psi = 0.0; - if (use_cut) { mfem::Array vdofs; for (int v = 0; v < pmesh.GetNV(); v++) { const double *x = pmesh.GetVertex(v); - const double d = cut_x ? (x[1] - cy) : (x[0] - cx); - const double s = cut_x ? (x[0] - cx) : (x[1] - cy); h1_fespace.GetVertexDofs(v, vdofs); - psi(vdofs[0]) = phi * std::atan2(d, -s) / (2.0 * M_PI); + psi(vdofs[0]) = phi * std::atan2(x[0] - cx, -(x[1] - cy)) / (2.0 * M_PI); } mfem::Vector t(h1_fespace.GetTrueVSize()); t.UseDevice(false); @@ -178,18 +163,14 @@ Vector BuildCutCohomologyGenerator(const SurfaceFluxData &flux_data, // is vertical, so ∇θ has no z-component and vertical edges get 0. const double ax = x0[0] - cx, ay = x0[1] - cy; const double bx = x1[0] - cx, by = x1[1] - cy; - const double dtheta = std::atan2(ax * by - ay * bx, ax * bx + ay * by); + const double a_angle = + phi * std::atan2(ax * by - ay * bx, ax * bx + ay * by) / (2.0 * M_PI); nd1_fespace.GetEdgeDofs(e, edofs); - double val = phi * dtheta / (2.0 * M_PI); - if (use_cut) - { - // cut = Grad ψ - a_angle. ψ is continuous except across the cut half-plane, where it - // jumps by Φ, so this reproduces the ±Φ step cochain exactly on a conformal mesh. - h1_fespace.GetVertexDofs(ev[0], vd0); - h1_fespace.GetVertexDofs(ev[1], vd1); - val = psi(vd1[0]) - psi(vd0[0]) - val; - } - ah1(edofs[0]) = val; + // cut = Grad ψ - a_angle. ψ is continuous except across the cut half-plane, where it + // jumps by Φ, so this reproduces the ±Φ step cochain exactly on a conformal mesh. + h1_fespace.GetVertexDofs(ev[0], vd0); + h1_fespace.GetVertexDofs(ev[1], vd1); + ah1(edofs[0]) = psi(vd1[0]) - psi(vd0[0]) - a_angle; } // Conform the cochain before projecting. Grad ψ is a discrete gradient of a conformed H1 diff --git a/scripts/schema/config-schema.json b/scripts/schema/config-schema.json index 43180ba36a5..e884c343855 100644 --- a/scripts/schema/config-schema.json +++ b/scripts/schema/config-schema.json @@ -1630,6 +1630,12 @@ "description": "Regularization parameter for the curl-curl system stability on the 2D surface problem.", "exclusiveMinimum": 0.0, "default": 1.0e-6 + }, + "PecPenetrationDepth": { + "type": "number", + "description": "Effective sheet penetration depth λ⊥ [mesh length units] used to model a FilmAttributes film that is not declared a \"Superconductor\" as the λ→0 perfect-screening limit. Smaller values approach an ideal perfect conductor.", + "exclusiveMinimum": 0.0, + "default": 1.0e-4 } } }, From de5107e766548b603a8efeb9a0b896905e5b3277 Mon Sep 17 00:00:00 2001 From: Dzung Pham Date: Thu, 10 Sep 2026 15:14:57 -0700 Subject: [PATCH 25/27] Delete dead non-London flux-loop code paths Holed PEC sheets always route through the London two-solve (auto-synth), so the legacy submesh/PEC-clamp path was unreachable. Remove the harmonic_generator flag, K_orig_ lift, IoData solver copy, and orphaned geodata edge-matching helpers. --- palace/models/curlcurloperator.cpp | 109 +++----- palace/models/curlcurloperator.hpp | 13 +- palace/models/surfacecurlsolver.cpp | 356 +------------------------- palace/models/surfacecurlsolver.hpp | 25 +- palace/models/surfacefluxoperator.cpp | 11 +- palace/models/surfacefluxoperator.hpp | 5 +- palace/utils/geodata.cpp | 285 --------------------- palace/utils/geodata.hpp | 14 - 8 files changed, 70 insertions(+), 748 deletions(-) diff --git a/palace/models/curlcurloperator.cpp b/palace/models/curlcurloperator.cpp index 91af5257fff..98a338e077c 100644 --- a/palace/models/curlcurloperator.cpp +++ b/palace/models/curlcurloperator.cpp @@ -542,93 +542,68 @@ void CurlCurlOperator::GetFluxExcitationVector(int idx, Vector &RHS, RHS = 0.0; // Solve the surface problem for a_h, the film field carrying the hole fluxoid ∮a_h·dl = - // Φ. Pure-PEC uses the uniform-perimeter Dirichlet clamp; London uses the curl-free cut - // cohomology generator, whose gradient part the 3D solve absorbs (no spurious penalty - // energy). - const bool london = IsLondonFluxLoop(idx); + // Φ, as the curl-free cut cohomology generator (see BuildCutCohomologyGenerator); its + // gradient part the 3D solve absorbs (no spurious penalty energy). Every flux loop is a + // London sheet (a bare PEC film is auto-registered as a λ→0 Superconductor in iodata), so + // there is a single path here. Vector flux_solution; if (boundary_values) { - SolveSurfaceCurlProblem(idx, post_op, *boundary_values, london); + SolveSurfaceCurlProblem(idx, post_op, *boundary_values); flux_solution = *boundary_values; // Use the pre-allocated result } else { - flux_solution = SolveSurfaceCurlProblem(idx, post_op, london); + flux_solution = SolveSurfaceCurlProblem(idx, post_op); } - // Early exit if boundary values are zero + // Early exit if the generator is zero. double boundary_norm = linalg::Norml2(GetComm(), flux_solution); if (boundary_norm < 1e-12) { return; } - if (london) + // The shifted penalty ½∫_Σ (1/L_ksq)|A_t − a_h|² has Euler-Lagrange equation + // [K_cc + M_sheet] A = M_sheet·a_h, so with the sheet-inclusive base operator K on the + // LHS the RHS is M_sheet·a_h. The film is absent from dbc_tdof_lists (only PEC DOFs are + // pinned), so its interior relaxes freely; as λ→0 the penalty drives A_t → a_h (geometric + // limit) and at finite λ the film penetrates and stores kinetic energy. + if (!M_sheet_) { - // London flux film: the shifted penalty ½∫_Σ (1/L_ksq)|A_t − a_h|² has Euler-Lagrange - // equation [K_cc + M_sheet] A = M_sheet·a_h, so with the sheet-inclusive base operator - // K on the LHS the RHS is M_sheet·a_h. The film is absent from dbc_tdof_lists (only PEC - // DOFs are pinned), so its interior relaxes freely; as λ→0 the penalty drives A_t → a_h - // (geometric limit) and at finite λ the film penetrates and stores kinetic energy. - if (!M_sheet_) + MaterialPropertyCoefficient fbr(mat_op.MaxCeedBdrAttribute()); + sc_sheet_op.AddStiffnessBdrCoefficients(1.0, fbr); + BilinearForm m(GetNDSpace()); + if (!fbr.empty()) { - MaterialPropertyCoefficient fbr(mat_op.MaxCeedBdrAttribute()); - sc_sheet_op.AddStiffnessBdrCoefficients(1.0, fbr); - BilinearForm m(GetNDSpace()); - if (!fbr.empty()) - { - m.AddBoundaryIntegrator(fbr); - } - auto m_mat = m.Assemble(GetNDSpaces(), false); - M_sheet_ = std::make_unique(std::move(m_mat.back()), GetNDSpace()); + m.AddBoundaryIntegrator(fbr); } - // Normalize the generator so its exact fluxoid cᵀa_h = ∮a_h·dl equals Φ. The driver - // still enforces the constraint on the full solution via α; this just keeps the drive - // a_h normalized. + auto m_mat = m.Assemble(GetNDSpaces(), false); + M_sheet_ = std::make_unique(std::move(m_mat.back()), GetNDSpace()); + } + // Normalize the generator so its exact fluxoid cᵀa_h = ∮a_h·dl equals Φ. The driver still + // enforces the constraint on the full solution via α; this just keeps the drive + // normalized. + { + double c_ah = MeasureLondonHoleFlux(idx, flux_solution); + double phi = surf_flux_op.GetSource(idx).GetExcitationFlux(); + if (std::abs(c_ah) > 1.0e-30) { - double c_ah = MeasureLondonHoleFlux(idx, flux_solution); - double phi = surf_flux_op.GetSource(idx).GetExcitationFlux(); - if (std::abs(c_ah) > 1.0e-30) + double s = phi / c_ah; + flux_solution *= s; + if (boundary_values) { - double s = phi / c_ah; - flux_solution *= s; - if (boundary_values) - { - *boundary_values = flux_solution; - } + *boundary_values = flux_solution; } } - M_sheet_->Mult(flux_solution, RHS); - linalg::SetSubVector(RHS, dbc_tdof_lists.back(), 0.0); - return; } - - // Pure-PEC flux loop (unchanged): clamp the whole film Dirichlet. - // Lift with the curl-curl-only operator and prescribe the whole-film boundary - // distribution. - if (!K_orig_) - { - MaterialPropertyCoefficient muinv_func(mat_op.GetAttributeToMaterial(), - mat_op.GetInvPermeability()); - BilinearForm k(GetNDSpace()); - k.AddDomainIntegrator(muinv_func); - auto k_mat = k.Assemble(GetNDSpaces(), false); - K_orig_ = std::make_unique(std::move(k_mat.back()), GetNDSpace()); - } - - // Compute RHS = -K × boundary_values for boundary-interior coupling - K_orig_->Mult(flux_solution, RHS); - RHS *= -1.0; - - // Set boundary DOF entries to the prescribed values - linalg::SetSubVector(RHS, dbc_tdof_lists.back(), flux_solution); + M_sheet_->Mult(flux_solution, RHS); + linalg::SetSubVector(RHS, dbc_tdof_lists.back(), 0.0); } template Vector CurlCurlOperator::SolveSurfaceCurlProblem(int flux_loop_idx, - PostOperator &post_op, - bool harmonic_generator) const + PostOperator &post_op) const { // Validate flux loop index exists MFEM_VERIFY(surf_flux_op.Size() > 0, "No flux loops configured!"); @@ -636,21 +611,20 @@ Vector CurlCurlOperator::SolveSurfaceCurlProblem(int flux_loop_idx, Vector result; surf_flux_op.SolveSurfaceCurlProblem(flux_loop_idx, GetMesh(), GetNDSpace(), post_op, - result, harmonic_generator); + result); return result; } template void CurlCurlOperator::SolveSurfaceCurlProblem(int flux_loop_idx, PostOperator &post_op, - Vector &result, - bool harmonic_generator) const + Vector &result) const { // Validate flux loop index exists MFEM_VERIFY(surf_flux_op.Size() > 0, "No flux loops configured!"); surf_flux_op.GetSource(flux_loop_idx); // Will throw if not found surf_flux_op.SolveSurfaceCurlProblem(flux_loop_idx, GetMesh(), GetNDSpace(), post_op, - result, harmonic_generator); + result); } // Explicit template instantiations for PostOperator @@ -662,11 +636,10 @@ template void CurlCurlOperator::GetFluxExcitationVector( - int flux_loop_idx, PostOperator &post_op, - bool harmonic_generator) const; + int flux_loop_idx, PostOperator &post_op) const; template void CurlCurlOperator::SolveSurfaceCurlProblem( - int flux_loop_idx, PostOperator &post_op, Vector &result, - bool harmonic_generator) const; + int flux_loop_idx, PostOperator &post_op, + Vector &result) const; } // namespace palace diff --git a/palace/models/curlcurloperator.hpp b/palace/models/curlcurloperator.hpp index 4dc9f82ad48..9ec2e44b953 100644 --- a/palace/models/curlcurloperator.hpp +++ b/palace/models/curlcurloperator.hpp @@ -99,10 +99,6 @@ class CurlCurlOperator // Operator for thin-film superconductor sheet (kinetic inductance) boundaries. SuperconductorSheetOperator sc_sheet_op; - // Cached original matrix for flux loop boundary-interior coupling (curl-curl only, no - // sheet term). Used for the pure-PEC flux-loop RHS lift. - mutable std::unique_ptr K_orig_; - // Flux-loop indices whose film is (partly) a Superconductor sheet — i.e. // London flux films. Populated at construction after surf_flux_op is set. std::set london_flux_loops_; @@ -248,14 +244,13 @@ class CurlCurlOperator return linalg::Dot(GetComm(), london_flux_constraint_.at(idx), A); } - // Solve 2D surface curl problem for flux loop boundary conditions + // Build the London cut cohomology generator a_h for the given flux loop. template - Vector SolveSurfaceCurlProblem(int flux_loop_idx, PostOperator &post_op, - bool harmonic_generator = false) const; + Vector SolveSurfaceCurlProblem(int flux_loop_idx, PostOperator &post_op) const; template - void SolveSurfaceCurlProblem(int flux_loop_idx, PostOperator &post_op, Vector &result, - bool harmonic_generator = false) const; + void SolveSurfaceCurlProblem(int flux_loop_idx, PostOperator &post_op, + Vector &result) const; // Get the associated MPI communicator. MPI_Comm GetComm() const { return GetNDSpace().GetComm(); } diff --git a/palace/models/surfacecurlsolver.cpp b/palace/models/surfacecurlsolver.cpp index 0ffe6b6c985..e3e103fce16 100644 --- a/palace/models/surfacecurlsolver.cpp +++ b/palace/models/surfacecurlsolver.cpp @@ -8,19 +8,13 @@ #include #include #include -#include "fem/bilinearform.hpp" #include "fem/coefficient.hpp" #include "fem/fespace.hpp" #include "fem/integrator.hpp" #include "fem/mesh.hpp" -#include "fem/multigrid.hpp" -#include "linalg/ksp.hpp" -#include "linalg/operator.hpp" -#include "linalg/rap.hpp" #include "models/materialoperator.hpp" #include "models/postoperator.hpp" #include "utils/communication.hpp" -#include "utils/geodata.hpp" #include "utils/iodata.hpp" namespace palace @@ -204,354 +198,26 @@ Vector BuildCutCohomologyGenerator(const SurfaceFluxData &flux_data, } // namespace -Vector SolveSurfaceCurlProblem(const SurfaceFluxData &flux_data, const IoData &iodata, - const Mesh &mesh, const FiniteElementSpace &nd_fespace, - int flux_loop_idx, - PostOperator &post_op, - bool harmonic_generator) +Vector SolveSurfaceCurlProblem(const SurfaceFluxData &flux_data, const Mesh &mesh, + const FiniteElementSpace &nd_fespace, + PostOperator &post_op) { Vector result; - SolveSurfaceCurlProblem(flux_data, iodata, mesh, nd_fespace, flux_loop_idx, post_op, - result, harmonic_generator); + SolveSurfaceCurlProblem(flux_data, mesh, nd_fespace, post_op, result); return result; } -void SolveSurfaceCurlProblem(const SurfaceFluxData &flux_data, const IoData &iodata, - const Mesh &mesh, const FiniteElementSpace &nd_fespace, - int flux_loop_idx, +void SolveSurfaceCurlProblem(const SurfaceFluxData &flux_data, const Mesh &mesh, + const FiniteElementSpace &nd_fespace, PostOperator &post_op, - Vector &result, bool harmonic_generator) + Vector &result) { - const mfem::ParFiniteElementSpace *fespace = &nd_fespace.Get(); - int order = iodata.solver.order; - - const auto &pmesh = mesh.Get(); - // London drive: build a_h directly on the 3D ND space as a curl-free cohomology generator - // via a topological cut cochain (gauge-invariant; see BuildCutCohomologyGenerator). No - // submesh needed. - if (harmonic_generator) - { - result = BuildCutCohomologyGenerator(flux_data, *fespace, mesh); - // Populate the post_op A buffer for consistency with the pure-PEC path (used only as - // scratch). - auto &A_3d = post_op.GetAGridFunction().Real(); - A_3d.SetFromTrueDofs(result); - return; - } - - // Extract metal surface and hole attributes from flux_data - mfem::Array metal_surface_attrs; - for (int metal_attr : flux_data.film_attributes) - { - metal_surface_attrs.Append(metal_attr); - } - - // Validate that we have at least one metal surface attribute - MFEM_VERIFY(metal_surface_attrs.Size() > 0, - "At least one metal surface attribute must be specified in FilmAttributes!"); - mfem::Array hole_surface_attrs; - for (int hole_attr : flux_data.hole_attributes) - { - hole_surface_attrs.Append(hole_attr); - } - int num_holes = hole_surface_attrs.Size(); - - // Extract hole boundary DOFs - std::unordered_map> attr_to_elements; - std::vector> hole_dof_to_edge_maps(num_holes); - std::vector> hole_ess_tdof_lists(num_holes); - std::vector> hole_ldof_markers(num_holes); - std::vector> hole_boundary_edge_ldofs(num_holes); - - const_cast(fespace)->GetBoundaryElementsByAttribute( - hole_surface_attrs, attr_to_elements); - for (int h = 0; h < num_holes; h++) - { - const_cast(fespace)->GetBoundaryEdgeDoFs( - attr_to_elements[hole_surface_attrs[h]], hole_ess_tdof_lists[h], - hole_ldof_markers[h], hole_boundary_edge_ldofs[h], &hole_dof_to_edge_maps[h], - nullptr, nullptr, nullptr); - } - - // Create submesh from all metal surface attributes - mfem::ParSubMesh boundary_submesh = - mfem::ParSubMesh::CreateFromBoundary(pmesh, metal_surface_attrs); - - // Extract submesh boundary edges - mfem::Array submesh_boundary_edge_ids; - for (int i = 0; i < boundary_submesh.GetNBE(); i++) - { - mfem::Array edges, orientations; - boundary_submesh.GetBdrElementEdges(i, edges, orientations); - for (int j = 0; j < edges.Size(); j++) - submesh_boundary_edge_ids.Append(edges[j]); - } - - // Map submesh to parent edges - const mfem::Array &parent_edge_ids = boundary_submesh.GetParentEdgeIDMap(); - std::unordered_map submesh_to_parent_bdr_edge_map; - for (int submesh_edge : submesh_boundary_edge_ids) - submesh_to_parent_bdr_edge_map[submesh_edge] = parent_edge_ids[submesh_edge]; - - // Match hole boundaries - std::vector> hole_boundary_edges; - mesh::MatchBoundaryEdges(pmesh, boundary_submesh, submesh_boundary_edge_ids, - submesh_to_parent_bdr_edge_map, hole_dof_to_edge_maps, - hole_boundary_edges); - - // Assign boundary attributes and create edge sets. - // Find the maximum existing boundary attribute across ALL ranks to avoid conflicts. - int current_attr = 1; - if (boundary_submesh.bdr_attributes.Size() > 0) - { - current_attr = boundary_submesh.bdr_attributes.Max(); - } - Mpi::GlobalMax(1, ¤t_attr, boundary_submesh.GetComm()); - std::vector hole_boundary_attrs(num_holes); - std::vector> hole_edge_sets(num_holes); - for (int h = 0; h < num_holes; h++) - { - hole_boundary_attrs[h] = current_attr + 1 + h; - hole_edge_sets[h] = std::unordered_set(hole_boundary_edges[h].begin(), - hole_boundary_edges[h].end()); - } - - for (int i = 0; i < boundary_submesh.GetNBE(); i++) - { - mfem::Array edges, orientations; - boundary_submesh.GetBdrElementEdges(i, edges, orientations); - for (int h = 0; h < num_holes; h++) - { - bool is_hole_boundary = false; - for (int j = 0; j < edges.Size() && !is_hole_boundary; j++) - { - if (hole_edge_sets[h].count(edges[j])) - { - is_hole_boundary = true; - boundary_submesh.GetBdrElement(i)->SetAttribute(hole_boundary_attrs[h]); - } - } - if (is_hole_boundary) - { - break; // Exit hole loop once we've assigned an attribute - } - } - } - boundary_submesh.SetAttributes(); - - // Compute hole properties using input flux values. - // Use the maximum hole boundary attribute for marker sizing since local - // bdr_attributes.Max() may be smaller on ranks without hole boundary elements. - int marker_size = hole_boundary_attrs.back(); - std::vector> hole_bdr_markers(num_holes); - std::vector hole_perimeters(num_holes); - std::vector hole_field_values(num_holes); - std::vector> hole_edge_lengths(num_holes); - - mfem::GridFunction *nodes = boundary_submesh.GetNodes(); - const mfem::FiniteElementCollection *h1_fec = nodes->FESpace()->FEColl(); - mfem::ParFiniteElementSpace h1_pfespace(&boundary_submesh, h1_fec); - mfem::ConstantCoefficient one(1.0); - - // Create loop normal vector from flux data direction - Vector loop_normal(const_cast(flux_data.direction.data()), 3); - - for (int h = 0; h < num_holes; h++) - { - hole_bdr_markers[h].SetSize(marker_size); - hole_bdr_markers[h] = 0; - hole_bdr_markers[h][hole_boundary_attrs[h] - 1] = 1; - - mfem::ParLinearForm perimeter_form(&h1_pfespace); - perimeter_form.AddBoundaryIntegrator(new mfem::BoundaryLFIntegrator(one), - hole_bdr_markers[h]); - perimeter_form.Assemble(); - double local_perimeter = perimeter_form.Sum(); - hole_perimeters[h] = local_perimeter; - Mpi::GlobalSum(1, &hole_perimeters[h], boundary_submesh.GetComm()); - hole_field_values[h] = flux_data.flux_amounts[h] / hole_perimeters[h]; - - mesh::ComputeSubmeshBoundaryEdgeOrientations(boundary_submesh, hole_boundary_edges[h], - loop_normal, hole_edge_lengths[h], order); - } - - // Create Nedelec space and solve - mfem::ND_FECollection nd_fec(order, boundary_submesh.Dimension()); - mfem::ParFiniteElementSpace nd_fespace_submesh(&boundary_submesh, &nd_fec); - - std::vector>> hole_edge_to_dofs_maps(num_holes); - std::vector> hole_boundary_edge_dofs(num_holes); - - mfem::Array edge_dofs; - for (int h = 0; h < num_holes; h++) - { - for (int i = 0; i < hole_boundary_edges[h].Size(); i++) - { - int edge_idx = hole_boundary_edges[h][i]; - nd_fespace_submesh.GetEdgeDofs(edge_idx, edge_dofs); - hole_edge_to_dofs_maps[h][edge_idx] = edge_dofs; - hole_boundary_edge_dofs[h].Append(edge_dofs); - } - } - - mfem::Array combined_inner_bdr_marker(marker_size); - combined_inner_bdr_marker = 0; - mfem::Array ldof_marker_submesh(nd_fespace_submesh.GetVSize()); - ldof_marker_submesh = 0; - mfem::ParGridFunction A(&nd_fespace_submesh); - A.UseDevice(false); - A = 0.0; - - // Directly apply loop BC by computing the integration of 1D Nedelec elements on boundary - // edges - for (int h = 0; h < num_holes; h++) - { - combined_inner_bdr_marker[hole_boundary_attrs[h] - 1] = 1; - for (const auto &pair : hole_edge_to_dofs_maps[h]) - { - int edge = pair.first; - const mfem::Array &edge_dofs = pair.second; - double oriented_length = hole_edge_lengths[h][edge]; - for (int j = 0; j < edge_dofs.Size(); j++) - A(edge_dofs[j]) = hole_field_values[h] * oriented_length; - } - - // Mark DOFs for synchronization - for (int i = 0; i < hole_boundary_edge_dofs[h].Size(); i++) - { - ldof_marker_submesh[hole_boundary_edge_dofs[h][i]] = 1; - } - } - - // Notify start of 2D surface curl problem solving - Mpi::Print("\nSolving 2D surface curl problem for flux loop boundary conditions...\n"); - - // Create Palace finite element space hierarchy for the submesh using P-multigrid - // Construct P-multigrid FE collections using solver configuration - int mg_max_levels = iodata.solver.linear.mg_max_levels; - auto mg_coarsening = iodata.solver.linear.mg_coarsening; - std::vector> submesh_nd_fecs = - fem::ConstructFECollections( - order, boundary_submesh.Dimension(), mg_max_levels, mg_coarsening, false); - std::vector> submesh_h1_fecs = - fem::ConstructFECollections( - order, boundary_submesh.Dimension(), mg_max_levels, mg_coarsening, false); - std::vector> submesh_vec; - submesh_vec.push_back(std::make_unique(boundary_submesh, 1)); - - FiniteElementSpaceHierarchy submesh_nd_fespaces( - fem::ConstructFiniteElementSpaceHierarchy( - mg_max_levels, submesh_vec, submesh_nd_fecs, nullptr, nullptr)); - FiniteElementSpaceHierarchy submesh_h1_fespaces( - fem::ConstructFiniteElementSpaceHierarchy( - mg_max_levels, submesh_vec, submesh_h1_fecs, nullptr, nullptr)); - - // Create separate essential DoF lists for each level in the hierarchy - std::vector> mg_submesh_ess_tdof_lists( - submesh_nd_fespaces.GetNumLevels()); - for (std::size_t l = 0; l < submesh_nd_fespaces.GetNumLevels(); l++) - { - const auto &nd_fespace_l = submesh_nd_fespaces.GetFESpaceAtLevel(l); - nd_fespace_l.Get().GetEssentialTrueDofs(combined_inner_bdr_marker, - mg_submesh_ess_tdof_lists[l]); - } - - // Get finest level essential DoF list for boundary conditions - auto submesh_ess_tdof_list = - mg_submesh_ess_tdof_lists[submesh_nd_fespaces.GetNumLevels() - 1]; - - // First synchronize the marker itself to ensure all processors agree on which DoFs to - // sync - auto gc = std::unique_ptr( - submesh_nd_fespaces.GetFinestFESpace().Get().ScalarGroupComm()); - mfem::Array global_marker(ldof_marker_submesh); - gc->Reduce(global_marker.GetData(), mfem::GroupCommunicator::BitOR); - gc->Bcast(global_marker); - - // Synchronize the edge DoF boundary condition across processors with MaxAbs reduction - mfem::Array values(A.GetData(), A.Size()); - gc->ReduceBegin(values.GetData()); - gc->ReduceMarked(values.GetData(), global_marker, 0, - mfem::GroupCommunicator::MaxAbs); - gc->Bcast(values.GetData()); - A.HostReadWrite(); - A.SetTrueVector(); - - // Create unit coefficient for curl-curl term and the regularization coefficient - MaterialPropertyCoefficient reg_coeff(boundary_submesh.attributes.Max()); - MaterialPropertyCoefficient unit_coeff(boundary_submesh.attributes.Max()); - for (int attr = 1; attr <= boundary_submesh.attributes.Max(); attr++) - { - unit_coeff.AddMaterialProperty(attr, 1.0); - reg_coeff.AddMaterialProperty(attr, flux_data.regularization); - } - - // Use Palace's BilinearForm with forced full assembly for the submesh solve. - // The 2D submesh is small and must stay on host (GroupCommunicator and direct DOF - // indexing are incompatible with device memory). - BilinearForm a(submesh_nd_fespaces.GetFinestFESpace()); - a.AddDomainIntegrator(unit_coeff); - a.AddDomainIntegrator(reg_coeff); - - std::vector> k_vec; - k_vec.reserve(submesh_nd_fespaces.GetNumLevels()); - for (std::size_t l = 0; l < submesh_nd_fespaces.GetNumLevels(); l++) - { - BilinearForm a_l(submesh_nd_fespaces.GetFESpaceAtLevel(l)); - a_l.AddDomainIntegrator(unit_coeff); - a_l.AddDomainIntegrator(reg_coeff); - k_vec.push_back(a_l.FullAssemble(false)); - } - auto K_op = std::make_unique(submesh_nd_fespaces.GetNumLevels()); - - // Add operators for each level using pre-computed essential DoF lists - for (std::size_t l = 0; l < submesh_nd_fespaces.GetNumLevels(); l++) - { - const auto &nd_fespace_l = submesh_nd_fespaces.GetFESpaceAtLevel(l); - auto K_l = std::make_unique(std::move(k_vec[l]), nd_fespace_l); - K_l->SetEssentialTrueDofs(mg_submesh_ess_tdof_lists[l], - Operator::DiagonalPolicy::DIAG_ONE); - K_op->AddOperator(std::move(K_l)); - } - - // Compute boundary-interior coupling before applying boundary conditions. - // Keep all submesh vectors on host — the 2D solve is small and uses host-side - // operations (GroupCommunicator, direct DOF indexing) incompatible with device memory. - Vector RHS(submesh_nd_fespaces.GetFinestFESpace().GetTrueVSize()); - Vector X(submesh_nd_fespaces.GetFinestFESpace().GetTrueVSize()); - Vector boundary_vals(submesh_nd_fespaces.GetFinestFESpace().GetTrueVSize()); - - // Get boundary values directly from MFEM GridFunction - A.GetTrueDofs(boundary_vals); - - // Compute RHS = -K * boundary_values (coupling term) - K_op->Mult(boundary_vals, RHS); - RHS *= -1.0; - - // Set boundary values in RHS - linalg::SetSubVector(RHS, submesh_ess_tdof_list, boundary_vals); - - // Set up Palace KSP solver - KspSolver ksp(iodata, submesh_nd_fespaces, &submesh_h1_fespaces); - ksp.SetOperators(*K_op, *K_op); - - // Solve the 2D surface curl problem. - X = 0.0; - ksp.Mult(RHS, X); - - // Set solution directly in MFEM GridFunction. - A.SetFromTrueDofs(X); - - // Transfer to parent mesh + // via a topological cut cochain (gauge-invariant; see BuildCutCohomologyGenerator). + result = BuildCutCohomologyGenerator(flux_data, nd_fespace.Get(), mesh); + // Populate the post_op A buffer (used only as scratch downstream). auto &A_3d = post_op.GetAGridFunction().Real(); - A_3d = 0.0; // Clear the buffer - mfem::ParSubMesh::Transfer(A, A_3d); - - // Extract true DOFs and populate result vector - result.SetSize(fespace->GetTrueVSize()); - result.UseDevice(true); - A_3d.GetTrueDofs(result); + A_3d.SetFromTrueDofs(result); } double ComputeFluxThroughSurface(const mfem::ParGridFunction &B_gf, diff --git a/palace/models/surfacecurlsolver.hpp b/palace/models/surfacecurlsolver.hpp index a31009c2b2c..19ee4c47701 100644 --- a/palace/models/surfacecurlsolver.hpp +++ b/palace/models/surfacecurlsolver.hpp @@ -4,7 +4,6 @@ #ifndef PALACE_DRIVERS_SURFACE_CURL_SOLVER_HPP #define PALACE_DRIVERS_SURFACE_CURL_SOLVER_HPP -#include #include #include "linalg/vector.hpp" #include "utils/labels.hpp" @@ -23,21 +22,17 @@ class CurlCurlOperator; template class PostOperator; -// Solve 2D surface curl problem for flux loop initial condition. When harmonic_generator is -// true, instead of the uniform-perimeter Dirichlet clamp, produce the curl-free cut -// cohomology generator (±Φ across a cut through the hole centroid) used as the London -// shifted-penalty drive a_h. -Vector SolveSurfaceCurlProblem(const SurfaceFluxData &flux_data, const IoData &iodata, - const Mesh &mesh, const FiniteElementSpace &nd_fespace, - int flux_loop_idx, - PostOperator &post_op, - bool harmonic_generator = false); - -void SolveSurfaceCurlProblem(const SurfaceFluxData &flux_data, const IoData &iodata, - const Mesh &mesh, const FiniteElementSpace &nd_fespace, - int flux_loop_idx, +// Build the curl-free cut cohomology generator (±Φ across a cut through the hole centroid) +// used as the London shifted-penalty drive a_h, on the 3D ND space (see +// BuildCutCohomologyGenerator). +Vector SolveSurfaceCurlProblem(const SurfaceFluxData &flux_data, const Mesh &mesh, + const FiniteElementSpace &nd_fespace, + PostOperator &post_op); + +void SolveSurfaceCurlProblem(const SurfaceFluxData &flux_data, const Mesh &mesh, + const FiniteElementSpace &nd_fespace, PostOperator &post_op, - Vector &result, bool harmonic_generator = false); + Vector &result); // Integrate the magnetic flux density B ⋅ n over the given boundary attributes, with the // surface normal oriented according to flux_direction. Returns the global (summed) flux. diff --git a/palace/models/surfacefluxoperator.cpp b/palace/models/surfacefluxoperator.cpp index e35cffe8537..823b3319a7f 100644 --- a/palace/models/surfacefluxoperator.cpp +++ b/palace/models/surfacefluxoperator.cpp @@ -2,7 +2,6 @@ // SPDX-License-Identifier: Apache-2.0 #include "surfacefluxoperator.hpp" -#include #include "models/surfacecurlsolver.hpp" #include "utils/communication.hpp" #include "utils/iodata.hpp" @@ -24,7 +23,6 @@ double SurfaceFluxData::GetExcitationFlux() const } SurfaceFluxOperator::SurfaceFluxOperator(const IoData &iodata) - : solver_config_(std::make_unique(iodata)) { SetUpBoundaryProperties(iodata); PrintBoundaryInfo(iodata); @@ -63,18 +61,15 @@ palace::Vector SurfaceFluxOperator::SolveSurfaceCurlProblem( PostOperator &post_op) const { const auto &data = GetSource(idx); - return palace::SolveSurfaceCurlProblem(data, *solver_config_, mesh, nd_fespace, idx, - post_op); + return palace::SolveSurfaceCurlProblem(data, mesh, nd_fespace, post_op); } void SurfaceFluxOperator::SolveSurfaceCurlProblem( int idx, const Mesh &mesh, const FiniteElementSpace &nd_fespace, - PostOperator &post_op, Vector &result, - bool harmonic_generator) const + PostOperator &post_op, Vector &result) const { const auto &data = GetSource(idx); - palace::SolveSurfaceCurlProblem(data, *solver_config_, mesh, nd_fespace, idx, post_op, - result, harmonic_generator); + palace::SolveSurfaceCurlProblem(data, mesh, nd_fespace, post_op, result); } } // namespace palace diff --git a/palace/models/surfacefluxoperator.hpp b/palace/models/surfacefluxoperator.hpp index 9a7f3fc3869..767049008a8 100644 --- a/palace/models/surfacefluxoperator.hpp +++ b/palace/models/surfacefluxoperator.hpp @@ -5,7 +5,6 @@ #define PALACE_MODELS_SURFACE_FLUX_OPERATOR_HPP #include -#include #include #include #include "linalg/vector.hpp" @@ -43,7 +42,6 @@ class SurfaceFluxOperator { private: std::map sources; - std::unique_ptr solver_config_; // Store only solver configuration void SetUpBoundaryProperties(const IoData &iodata); void PrintBoundaryInfo(const IoData &iodata); @@ -64,8 +62,7 @@ class SurfaceFluxOperator void SolveSurfaceCurlProblem(int idx, const Mesh &mesh, const FiniteElementSpace &nd_fespace, PostOperator &post_op, - palace::Vector &result, - bool harmonic_generator = false) const; + palace::Vector &result) const; }; } // namespace palace diff --git a/palace/utils/geodata.cpp b/palace/utils/geodata.cpp index 64e3261d4e3..45a895e0e22 100644 --- a/palace/utils/geodata.cpp +++ b/palace/utils/geodata.cpp @@ -3971,289 +3971,4 @@ void RegionRefine(const config::RefinementData &refinement, mfem::Mesh &mesh) } // namespace -namespace mesh -{ - -void MatchBoundaryEdges( - const mfem::ParMesh &mesh, const mfem::ParSubMesh &boundary_submesh, - const mfem::Array &submesh_boundary_edge_ids, - const std::unordered_map &submesh_to_parent_bdr_edge_map, - const std::vector> &hole_dof_to_edge_maps, - std::vector> &hole_boundary_edges) -{ - // This function identifies which edges from a boundary submesh correspond to the - // boundaries of holes in the parent mesh. - // - // The algorithm works in two phases: - // 1. Local matching: Match submesh edges to hole boundaries on the current processor - // 2. Cross-processor matching: Handle edges that span multiple processors in parallel - // - // Input: - // - mesh: The parent parallel mesh - // - boundary_submesh: A submesh containing boundary elements - // - submesh_boundary_edge_ids: Edges on the boundary of the submesh - // - submesh_to_parent_bdr_edge_map: Mapping from submesh edges to parent edges - // - hole_dof_to_edge_maps: For each hole, maps DoFs to edge IDs in parent mesh - // - // Output: - // - hole_boundary_edges: For each hole, the submesh edge IDs forming its boundary - - MPI_Comm comm = mesh.GetComm(); - int num_holes = static_cast(hole_dof_to_edge_maps.size()); - int num_procs = Mpi::Size(comm); - - // Initialize output array - hole_boundary_edges.resize(num_holes); - - // Create edge sets for O(1) lookup - std::vector> hole_edge_sets(num_holes); - for (int hole_idx = 0; hole_idx < num_holes; hole_idx++) - { - for (const auto &pair : hole_dof_to_edge_maps[hole_idx]) - { - hole_edge_sets[hole_idx].insert(pair.second); - } - } - - // Local matching - single pass through submesh edges - std::vector> matched_hole_edges(num_holes); - for (int submesh_edge : submesh_boundary_edge_ids) - { - auto it = submesh_to_parent_bdr_edge_map.find(submesh_edge); - MFEM_VERIFY(it != submesh_to_parent_bdr_edge_map.end(), - "Submesh edge " << submesh_edge << " not found in parent mapping!"); - int parent_edge = it->second; - for (int hole_idx = 0; hole_idx < num_holes; hole_idx++) - { - if (hole_edge_sets[hole_idx].count(parent_edge)) - { - hole_boundary_edges[hole_idx].Append(submesh_edge); - matched_hole_edges[hole_idx].insert(parent_edge); - break; - } - } - } - - // Find unmatched edges for each hole, at this stage all hole edges purely local - // to this rank have been found. - std::vector> unmatched_hole_edges(num_holes); - for (int hole_idx = 0; hole_idx < num_holes; hole_idx++) - { - for (int edge : hole_edge_sets[hole_idx]) - { - if (!matched_hole_edges[hole_idx].count(edge)) - { - unmatched_hole_edges[hole_idx].push_back(edge); - } - } - } - - // Get global edge indices - // NOTE: This requires a conformal mesh. For meshes marked for nonconformal - // adaptation, global edge indexing does not exist and this method will not work. - mfem::Array global_edge_indices; - mesh.GetGlobalEdgeIndices(global_edge_indices); - - // Cross-processor matching for each hole - for (int hole_idx = 0; hole_idx < num_holes; hole_idx++) - { - // Convert to global indices - std::vector local_unmatched; - for (int local_edge : unmatched_hole_edges[hole_idx]) - { - local_unmatched.push_back(global_edge_indices[local_edge]); - } - - // Gather sizes from all processors - int local_size = local_unmatched.size(); - std::vector all_sizes(num_procs); - MPI_Allgather(&local_size, 1, MPI_INT, all_sizes.data(), 1, MPI_INT, mesh.GetComm()); - - // Calculate displacements - int total_size = 0; - std::vector displs(num_procs); - for (int i = 0; i < num_procs; i++) - { - displs[i] = total_size; - total_size += all_sizes[i]; - } - - // Gather all unmatched edges - if (total_size > 0) - { - std::vector all_unmatched(total_size); - MPI_Allgatherv(local_unmatched.data(), local_size, MPI_LONG_LONG, - all_unmatched.data(), all_sizes.data(), displs.data(), MPI_LONG_LONG, - mesh.GetComm()); - - std::unordered_set unmatched_set(all_unmatched.begin(), - all_unmatched.end()); - - // Find matches in submesh - for (int submesh_edge : submesh_boundary_edge_ids) - { - auto it = submesh_to_parent_bdr_edge_map.find(submesh_edge); - MFEM_VERIFY(it != submesh_to_parent_bdr_edge_map.end(), - "Submesh edge " << submesh_edge << " not found in parent mapping!"); - int parent_edge = it->second; - if (unmatched_set.count(global_edge_indices[parent_edge])) - { - hole_boundary_edges[hole_idx].Append(submesh_edge); - } - } - } - } -} - -void ComputeSubmeshBoundaryEdgeOrientations( - const mfem::ParSubMesh &submesh, const mfem::Array &inner_boundary_edges, - const mfem::Vector &loop_normal, std::unordered_map &edge_oriented_lengths, - int order) -{ - // This function computes the orientations and oriented lengths of boundary edges in a - // submesh. The orientation is determined by comparing the cross product of - // edge vectors with a reference loop normal vector. - // For each boundary edge: - // 1. Find the adjacent interior element to establish geometric context - // 2. Compute the edge vector and identify the third vertex not on the edge - // 3. Calculate cross product of (third_vertex_to_edge_midpoint) × (edge_vector) - // 4. Compare this cross product with the loop normal to determine orientation - // 5. Use quadrature rule to compute curved edge lengths - // Input: - // - submesh: The submesh containing the boundary edges - // - inner_boundary_edges: Array of edge IDs forming the inner boundary - // - loop_normal: Reference normal vector for consistent orientation - // - order: Quadrature order for accurate integration of curved edges - // Output: - // - edge_oriented_lengths: Map from edge ID to signed edge length - - edge_oriented_lengths.clear(); - - mfem::Array elem_edges, orientations; - for (int i = 0; i < inner_boundary_edges.Size(); i++) - { - int submesh_edge = inner_boundary_edges[i]; - - // Find interior element adjacent to this boundary edge - int adj_elem = -1; - for (int j = 0; j < submesh.GetNE() && adj_elem == -1; j++) - { - submesh.GetElementEdges(j, elem_edges, orientations); - for (int k = 0; k < elem_edges.Size(); k++) - { - if (elem_edges[k] == submesh_edge) - { - adj_elem = j; - break; - } - } - } - - MFEM_VERIFY(adj_elem != -1, - "No adjacent element found for boundary edge " << submesh_edge); - - // Get edge and element vertices - mfem::Array edge_vertices, elem_vertices; - submesh.GetEdgeVertices(submesh_edge, edge_vertices); - submesh.GetElementVertices(adj_elem, elem_vertices); - - // Find vertices not on the edge and verify they're on the same side - // This handles non-convex elements (e.g., bow-tie quads) robustly - std::vector non_edge_vertices; - for (int v : elem_vertices) - { - if (v != edge_vertices[0] && v != edge_vertices[1]) - { - non_edge_vertices.push_back(v); - } - } - - MFEM_VERIFY(!non_edge_vertices.empty(), - "No non-edge vertices found for element " << adj_elem); - - // For elements with multiple non-edge vertices, verify they're on the same side - int third_vertex = non_edge_vertices[0]; - if (non_edge_vertices.size() > 1) - { - // Use first edge vertex as reference point - const double *edge_ref = submesh.GetVertex(edge_vertices[0]); - const double *first_vert = submesh.GetVertex(non_edge_vertices[0]); - - // Compute reference vector from edge vertex to first non-edge vertex - mfem::Vector first_vec(3); - for (int d = 0; d < 3; d++) - { - first_vec[d] = first_vert[d] - edge_ref[d]; - } - - // Check all other non-edge vertices are on the same side - for (size_t i = 1; i < non_edge_vertices.size(); i++) - { - const double *vert = submesh.GetVertex(non_edge_vertices[i]); - mfem::Vector vec(3); - for (int d = 0; d < 3; d++) - { - vec[d] = vert[d] - edge_ref[d]; - } - - // Check dot product is positive (same side) - double dot_product = first_vec * vec; - - MFEM_VERIFY(dot_product > 0.0, - "Non-convex element detected: vertices on opposite sides of edge"); - } - } - - MFEM_VERIFY(third_vertex != -1, "Could not find third vertex for element " << adj_elem); - - // Get coordinates - const double *v0 = submesh.GetVertex(edge_vertices[0]); - const double *v1 = submesh.GetVertex(edge_vertices[1]); - const double *v2 = submesh.GetVertex(third_vertex); - - // Edge vector and length - double edge_vec[3]; - double edge_length = 0.0; - - // Use high-order integration for curved edges - mfem::IsoparametricTransformation edge_trans; - submesh.GetEdgeTransformation(submesh_edge, &edge_trans); - - // Integrate arc length using quadrature - const mfem::IntegrationRule *ir = - &mfem::IntRules.Get(mfem::Geometry::SEGMENT, 2 * order); - for (int q = 0; q < ir->GetNPoints(); q++) - { - const mfem::IntegrationPoint &ip = ir->IntPoint(q); - edge_trans.SetIntPoint(&ip); - edge_length += ip.weight * edge_trans.Weight(); - } - - // Vector from third vertex to edge midpoint - double to_edge_vec[3]; - for (int d = 0; d < 3; d++) - { - edge_vec[d] = v1[d] - v0[d]; - double edge_midpoint = (v0[d] + v1[d]) * 0.5; - to_edge_vec[d] = edge_midpoint - v2[d]; - } - - // Cross product: to_edge_vec × edge_vec - double cross_product[3]; - cross_product[0] = to_edge_vec[1] * edge_vec[2] - to_edge_vec[2] * edge_vec[1]; - cross_product[1] = to_edge_vec[2] * edge_vec[0] - to_edge_vec[0] * edge_vec[2]; - cross_product[2] = to_edge_vec[0] * edge_vec[1] - to_edge_vec[1] * edge_vec[0]; - - // Check alignment with loop normal via dot product - double dot_product = cross_product[0] * loop_normal[0] + - cross_product[1] * loop_normal[1] + - cross_product[2] * loop_normal[2]; - - int orientation = (dot_product > 0) ? -1 : 1; - edge_oriented_lengths[submesh_edge] = orientation * edge_length; - } -} - -} // namespace mesh - } // namespace palace diff --git a/palace/utils/geodata.hpp b/palace/utils/geodata.hpp index dccf827c815..fbdc7025b82 100644 --- a/palace/utils/geodata.hpp +++ b/palace/utils/geodata.hpp @@ -378,20 +378,6 @@ void CompleteMeshEntityCounts(mfem::ParMesh &mesh, MeshEntityCounts &counts); // Helper for creating a hexahedral mesh from a tetrahedral mesh. mfem::Mesh MeshTetToHex(const mfem::Mesh &orig_mesh); -// Helper function for matching boundary edges between parent mesh and submesh in parallel. -void MatchBoundaryEdges( - const mfem::ParMesh &mesh, const mfem::ParSubMesh &boundary_submesh, - const mfem::Array &submesh_boundary_edge_ids, - const std::unordered_map &submesh_to_parent_bdr_edge_map, - const std::vector> &hole_dof_to_edge_maps, - std::vector> &hole_boundary_edges); - -// Helper function for computing edge orientations on submesh boundaries. -void ComputeSubmeshBoundaryEdgeOrientations( - const mfem::ParSubMesh &submesh, const mfem::Array &inner_boundary_edges, - const mfem::Vector &loop_normal, std::unordered_map &edge_oriented_lengths, - int order); - } // namespace mesh } // namespace palace From a313580deb06177ce7f3865613fa948ffacad958 Mon Sep 17 00:00:00 2001 From: Dzung Pham Date: Thu, 10 Sep 2026 15:48:38 -0700 Subject: [PATCH 26/27] Fix CI style: bump schema to 2-0-0; format docs and mesh scripts --- docs/src/developer/notes.md | 9 +- docs/src/examples/circular_hole.md | 11 ++- examples/circular_hole/mesh/rect_hole_mesh.jl | 98 ++++++++++++++++--- .../circular_hole/mesh/square_hole_mesh.jl | 98 ++++++++++++++++--- examples/microstrip/mesh/mesh.jl | 16 ++- scripts/schema/config-schema.json | 2 +- 6 files changed, 192 insertions(+), 42 deletions(-) diff --git a/docs/src/developer/notes.md b/docs/src/developer/notes.md index f75f0d17077..419738cd679 100644 --- a/docs/src/developer/notes.md +++ b/docs/src/developer/notes.md @@ -226,10 +226,11 @@ several *Palace* releases. The table below records the schema version shipped by *Palace* release; a listed version applies from that release until the next row. Add a row when a release is cut, recording the schema version at that boundary. -| Schema version | *Palace* release | Notes | -|:--------------:|:----------------:|:---------------------------------- | -| `1-0-0` | `0.17` | First explicitly-versioned schema. | -| `1-6-0` | `0.18` | | +| Schema version | *Palace* release | Notes | +|:--------------:|:----------------:|:-------------------------------------------------------------------------------------------------------------------- | +| `1-0-0` | `0.17` | First explicitly-versioned schema. | +| `1-6-0` | `0.18` | | +| `2-0-0` | `0.18` | Rename FluxLoop `FluxLoopPEC` to `FilmAttributes`; add `Superconductor` boundary and FluxLoop `PecPenetrationDepth`. | #### When and how to bump (PR checklist) diff --git a/docs/src/examples/circular_hole.md b/docs/src/examples/circular_hole.md index 77c44f27e94..fa71fdba82f 100644 --- a/docs/src/examples/circular_hole.md +++ b/docs/src/examples/circular_hole.md @@ -42,6 +42,7 @@ Whether a film screens perfectly or penetrates is set by how its attribute is de only is treated as a perfect screen: the flux-expulsion condition ``\mathbf{B}\cdot\mathbf{n} = 0`` holds together with the fluxoid, and the extracted inductance is purely **geometric**. + - **London film (finite ``\lambda``).** A film attribute listed also under [`"Superconductor"`](../config/reference.md#config-boundaries-superconductor) carries the shifted London sheet penalty @@ -204,11 +205,11 @@ geometric baseline as the film penetration grows, and the ``\lambda\to0`` value perfect-conductor limit: | ``\lambda`` (μm) | ``L_{\mathrm{ksq}} = \lambda^2/d`` | ``L`` (pH) | -|:---:|:---:|:---:| -| ``0`` (PEC) | ``0`` | ``2.853`` | -| ``0.1`` | ``0.1`` | ``3.288`` | -| ``0.2`` | ``0.4`` | ``4.017`` | -| ``0.4`` | ``1.6`` | ``5.157`` | +|:----------------:|:----------------------------------:|:----------:| +| ``0`` (PEC) | ``0`` | ``2.853`` | +| ``0.1`` | ``0.1`` | ``3.288`` | +| ``0.2`` | ``0.4`` | ``4.017`` | +| ``0.4`` | ``1.6`` | ``5.157`` | At ``\lambda = 0.4\,\mu\text{m}`` the self-inductance is ``L = 5.157\,\text{pH}``, of which ``2.853\,\text{pH}`` is geometric and ``\approx 2.30\,\text{pH}`` kinetic. The geometric value diff --git a/examples/circular_hole/mesh/rect_hole_mesh.jl b/examples/circular_hole/mesh/rect_hole_mesh.jl index 36f21b17b18..885fafd584c 100644 --- a/examples/circular_hole/mesh/rect_hole_mesh.jl +++ b/examples/circular_hole/mesh/rect_hole_mesh.jl @@ -40,14 +40,54 @@ function generate_rect_hole_mesh(; fx, fy = dx / 2 + W, dy / 2 + W # film half-sides cube_pts = [ - gmsh.model.geo.addPoint(cx - L_outer / 2, cy - L_outer / 2, cz - L_outer / 2, mesh_size_coarse), - gmsh.model.geo.addPoint(cx + L_outer / 2, cy - L_outer / 2, cz - L_outer / 2, mesh_size_coarse), - gmsh.model.geo.addPoint(cx + L_outer / 2, cy + L_outer / 2, cz - L_outer / 2, mesh_size_coarse), - gmsh.model.geo.addPoint(cx - L_outer / 2, cy + L_outer / 2, cz - L_outer / 2, mesh_size_coarse), - gmsh.model.geo.addPoint(cx - L_outer / 2, cy - L_outer / 2, cz + L_outer / 2, mesh_size_coarse), - gmsh.model.geo.addPoint(cx + L_outer / 2, cy - L_outer / 2, cz + L_outer / 2, mesh_size_coarse), - gmsh.model.geo.addPoint(cx + L_outer / 2, cy + L_outer / 2, cz + L_outer / 2, mesh_size_coarse), - gmsh.model.geo.addPoint(cx - L_outer / 2, cy + L_outer / 2, cz + L_outer / 2, mesh_size_coarse) + gmsh.model.geo.addPoint( + cx - L_outer / 2, + cy - L_outer / 2, + cz - L_outer / 2, + mesh_size_coarse + ), + gmsh.model.geo.addPoint( + cx + L_outer / 2, + cy - L_outer / 2, + cz - L_outer / 2, + mesh_size_coarse + ), + gmsh.model.geo.addPoint( + cx + L_outer / 2, + cy + L_outer / 2, + cz - L_outer / 2, + mesh_size_coarse + ), + gmsh.model.geo.addPoint( + cx - L_outer / 2, + cy + L_outer / 2, + cz - L_outer / 2, + mesh_size_coarse + ), + gmsh.model.geo.addPoint( + cx - L_outer / 2, + cy - L_outer / 2, + cz + L_outer / 2, + mesh_size_coarse + ), + gmsh.model.geo.addPoint( + cx + L_outer / 2, + cy - L_outer / 2, + cz + L_outer / 2, + mesh_size_coarse + ), + gmsh.model.geo.addPoint( + cx + L_outer / 2, + cy + L_outer / 2, + cz + L_outer / 2, + mesh_size_coarse + ), + gmsh.model.geo.addPoint( + cx - L_outer / 2, + cy + L_outer / 2, + cz + L_outer / 2, + mesh_size_coarse + ) ] outer_pts = [ @@ -96,12 +136,42 @@ function generate_rect_hole_mesh(; hole_surface = gmsh.model.geo.addPlaneSurface([inner_loop]) cube_loops = [ - gmsh.model.geo.addCurveLoop([cube_lines[1], cube_lines[2], cube_lines[3], cube_lines[4]]), - gmsh.model.geo.addCurveLoop([cube_lines[5], cube_lines[6], cube_lines[7], cube_lines[8]]), - gmsh.model.geo.addCurveLoop([cube_lines[9], cube_lines[5], -cube_lines[10], -cube_lines[1]]), - gmsh.model.geo.addCurveLoop([cube_lines[10], cube_lines[6], -cube_lines[11], -cube_lines[2]]), - gmsh.model.geo.addCurveLoop([cube_lines[11], cube_lines[7], -cube_lines[12], -cube_lines[3]]), - gmsh.model.geo.addCurveLoop([cube_lines[12], cube_lines[8], -cube_lines[9], -cube_lines[4]]) + gmsh.model.geo.addCurveLoop([ + cube_lines[1], + cube_lines[2], + cube_lines[3], + cube_lines[4] + ]), + gmsh.model.geo.addCurveLoop([ + cube_lines[5], + cube_lines[6], + cube_lines[7], + cube_lines[8] + ]), + gmsh.model.geo.addCurveLoop([ + cube_lines[9], + cube_lines[5], + -cube_lines[10], + -cube_lines[1] + ]), + gmsh.model.geo.addCurveLoop([ + cube_lines[10], + cube_lines[6], + -cube_lines[11], + -cube_lines[2] + ]), + gmsh.model.geo.addCurveLoop([ + cube_lines[11], + cube_lines[7], + -cube_lines[12], + -cube_lines[3] + ]), + gmsh.model.geo.addCurveLoop([ + cube_lines[12], + cube_lines[8], + -cube_lines[9], + -cube_lines[4] + ]) ] cube_surfaces = [gmsh.model.geo.addPlaneSurface([loop]) for loop in cube_loops] diff --git a/examples/circular_hole/mesh/square_hole_mesh.jl b/examples/circular_hole/mesh/square_hole_mesh.jl index c9cd114a172..61fece4e9a0 100644 --- a/examples/circular_hole/mesh/square_hole_mesh.jl +++ b/examples/circular_hole/mesh/square_hole_mesh.jl @@ -62,14 +62,54 @@ function generate_square_hole_mesh(; # Create cube vertices cube_pts = [ - gmsh.model.geo.addPoint(cx - L_outer / 2, cy - L_outer / 2, cz - L_outer / 2, mesh_size_coarse), - gmsh.model.geo.addPoint(cx + L_outer / 2, cy - L_outer / 2, cz - L_outer / 2, mesh_size_coarse), - gmsh.model.geo.addPoint(cx + L_outer / 2, cy + L_outer / 2, cz - L_outer / 2, mesh_size_coarse), - gmsh.model.geo.addPoint(cx - L_outer / 2, cy + L_outer / 2, cz - L_outer / 2, mesh_size_coarse), - gmsh.model.geo.addPoint(cx - L_outer / 2, cy - L_outer / 2, cz + L_outer / 2, mesh_size_coarse), - gmsh.model.geo.addPoint(cx + L_outer / 2, cy - L_outer / 2, cz + L_outer / 2, mesh_size_coarse), - gmsh.model.geo.addPoint(cx + L_outer / 2, cy + L_outer / 2, cz + L_outer / 2, mesh_size_coarse), - gmsh.model.geo.addPoint(cx - L_outer / 2, cy + L_outer / 2, cz + L_outer / 2, mesh_size_coarse) + gmsh.model.geo.addPoint( + cx - L_outer / 2, + cy - L_outer / 2, + cz - L_outer / 2, + mesh_size_coarse + ), + gmsh.model.geo.addPoint( + cx + L_outer / 2, + cy - L_outer / 2, + cz - L_outer / 2, + mesh_size_coarse + ), + gmsh.model.geo.addPoint( + cx + L_outer / 2, + cy + L_outer / 2, + cz - L_outer / 2, + mesh_size_coarse + ), + gmsh.model.geo.addPoint( + cx - L_outer / 2, + cy + L_outer / 2, + cz - L_outer / 2, + mesh_size_coarse + ), + gmsh.model.geo.addPoint( + cx - L_outer / 2, + cy - L_outer / 2, + cz + L_outer / 2, + mesh_size_coarse + ), + gmsh.model.geo.addPoint( + cx + L_outer / 2, + cy - L_outer / 2, + cz + L_outer / 2, + mesh_size_coarse + ), + gmsh.model.geo.addPoint( + cx + L_outer / 2, + cy + L_outer / 2, + cz + L_outer / 2, + mesh_size_coarse + ), + gmsh.model.geo.addPoint( + cx - L_outer / 2, + cy + L_outer / 2, + cz + L_outer / 2, + mesh_size_coarse + ) ] # Outer film square corners (counter-clockwise) @@ -125,12 +165,42 @@ function generate_square_hole_mesh(; # Create cube surfaces cube_loops = [ - gmsh.model.geo.addCurveLoop([cube_lines[1], cube_lines[2], cube_lines[3], cube_lines[4]]), - gmsh.model.geo.addCurveLoop([cube_lines[5], cube_lines[6], cube_lines[7], cube_lines[8]]), - gmsh.model.geo.addCurveLoop([cube_lines[9], cube_lines[5], -cube_lines[10], -cube_lines[1]]), - gmsh.model.geo.addCurveLoop([cube_lines[10], cube_lines[6], -cube_lines[11], -cube_lines[2]]), - gmsh.model.geo.addCurveLoop([cube_lines[11], cube_lines[7], -cube_lines[12], -cube_lines[3]]), - gmsh.model.geo.addCurveLoop([cube_lines[12], cube_lines[8], -cube_lines[9], -cube_lines[4]]) + gmsh.model.geo.addCurveLoop([ + cube_lines[1], + cube_lines[2], + cube_lines[3], + cube_lines[4] + ]), + gmsh.model.geo.addCurveLoop([ + cube_lines[5], + cube_lines[6], + cube_lines[7], + cube_lines[8] + ]), + gmsh.model.geo.addCurveLoop([ + cube_lines[9], + cube_lines[5], + -cube_lines[10], + -cube_lines[1] + ]), + gmsh.model.geo.addCurveLoop([ + cube_lines[10], + cube_lines[6], + -cube_lines[11], + -cube_lines[2] + ]), + gmsh.model.geo.addCurveLoop([ + cube_lines[11], + cube_lines[7], + -cube_lines[12], + -cube_lines[3] + ]), + gmsh.model.geo.addCurveLoop([ + cube_lines[12], + cube_lines[8], + -cube_lines[9], + -cube_lines[4] + ]) ] cube_surfaces = [gmsh.model.geo.addPlaneSurface([loop]) for loop in cube_loops] diff --git a/examples/microstrip/mesh/mesh.jl b/examples/microstrip/mesh/mesh.jl index b8437b76314..8d14572c5eb 100644 --- a/examples/microstrip/mesh/mesh.jl +++ b/examples/microstrip/mesh/mesh.jl @@ -43,7 +43,7 @@ parallel-plate limit `separation << plate_width` yields the analytic loop induct """ function generate_microstrip_mesh(; filename::AbstractString, - strip_length::Real = 100.0, + strip_length::Real = 100.0, plate_width::Real = 40.0, separation::Real = 2.0, terminal_length::Real = 4.0, @@ -128,7 +128,13 @@ function generate_microstrip_mesh(; tol = 1.0e-3 surfs_in(x0, y0, z0, x1, y1, z1) = [ s[2] for s in gmsh.model.getEntitiesInBoundingBox( - x0 - tol, y0 - tol, z0 - tol, x1 + tol, y1 + tol, z1 + tol, 2 + x0 - tol, + y0 - tol, + z0 - tol, + x1 + tol, + y1 + tol, + z1 + tol, + 2 ) ] @@ -183,8 +189,10 @@ function generate_microstrip_mesh(; println("Farfield boundaries: ", farfield_group) println("Conductor: ", conductor_group) println("Terminal: ", terminal_group) - println("Loop squares (perimeter / width): ", - (2.0 * strip_length + 2.0 * separation) / plate_width) + println( + "Loop squares (perimeter / width): ", + (2.0 * strip_length + 2.0 * separation) / plate_width + ) println() # Optionally launch GUI diff --git a/scripts/schema/config-schema.json b/scripts/schema/config-schema.json index e884c343855..858ffdcbf33 100644 --- a/scripts/schema/config-schema.json +++ b/scripts/schema/config-schema.json @@ -1,6 +1,6 @@ { "$schema": "http://json-schema.org/draft-07/schema#", - "$id": "urn:palace:schema:1-6-0", + "$id": "urn:palace:schema:2-0-0", "title": "Configuration File Schema", "description": "Palace configuration file schema for 3D electromagnetic simulations.", "type": "object", From abc0a5d7b35d5d6c56c72ebd79d6f6af191a5196 Mon Sep 17 00:00:00 2001 From: Dzung Pham Date: Tue, 15 Sep 2026 14:28:38 -0700 Subject: [PATCH 27/27] Remove dead non-London and regularization paths; graceful phi_h halt; schema/comment fixes --- palace/drivers/magnetostaticsolver.cpp | 146 +++++++++++-------------- palace/models/curlcurloperator.cpp | 1 - palace/models/surfacefluxoperator.cpp | 3 +- palace/models/surfacefluxoperator.hpp | 1 - palace/utils/configfile.cpp | 4 - palace/utils/configfile.hpp | 20 +--- palace/utils/iodata.cpp | 50 ++------- scripts/schema/config-schema.json | 8 +- 8 files changed, 81 insertions(+), 152 deletions(-) diff --git a/palace/drivers/magnetostaticsolver.cpp b/palace/drivers/magnetostaticsolver.cpp index 43e9827c23f..de9f0aa25e0 100644 --- a/palace/drivers/magnetostaticsolver.cpp +++ b/palace/drivers/magnetostaticsolver.cpp @@ -163,22 +163,6 @@ MagnetostaticSolver::Solve(const std::vector> &mesh) const MFEM_VERIFY(n_step > 0, "No surface current boundaries or flux loops specified for " "magnetostatic simulation!"); - // A London loop's drive a_h is built directly on the 3D ND space and is - // nonconformal-safe. Only the legacy 2D submesh path needs global edge indexing, which NC - // meshes lack. - { - int n_submesh_flux_steps = 0; - for (const auto &[idx, data] : curlcurl_op.GetSurfaceFluxOp()) - { - n_submesh_flux_steps += !curlcurl_op.IsLondonFluxLoop(idx); - } - MFEM_VERIFY( - n_submesh_flux_steps == 0 || iodata.model.refinement.max_it == 0 || - !iodata.model.refinement.nonconformal, - "Non-London flux loop excitation is only supported with conformal adaptation " - "or no adaptation!"); - } - // Source term and solution vector storage. Vector RHS(Curl.Width()), B(Curl.Height()); // Scratch vectors for the London range-space (two-solve) flux constraint: particular @@ -326,81 +310,81 @@ MagnetostaticSolver::Solve(const std::vector> &mesh) const Mpi::Print("\nIt {:d}/{:d}: FluxLoop Index = {:d} (elapsed time = {:.2e} s)\n", solve_it, n_step, idx, Timer::Duration(Timer::Now() - t0).count()); + // Every flux loop is a London sheet (pure-PEC films are auto-synthesized as λ→0 + // Superconductors; simply-connected perfect conductors use Boundaries.PEC). + MFEM_VERIFY(curlcurl_op.IsLondonFluxLoop(idx), + "Flux loop " << idx << " is not a London sheet!"); curlcurl_op.GetFluxExcitationVector(idx, RHS, post_op, &boundary_values); I_inc[step] = 0.0; // Zero current for flux loops - Phi_inc[step] = data.GetExcitationFlux(); // Store prescribed flux + Phi_inc[step] = data.GetExcitationFlux(); // Exact via the flux constraint. // Solve 3D magnetostatic problem (flux loops use the base operator). set_operator(*K); - if (curlcurl_op.IsLondonFluxLoop(idx)) + // London flux film: range-space (two-solve) solution of the bordered flux-constrained + // system. RHS holds the shifted-penalty drive b = M_sheet·a_h, boundary_values holds + // a_h. Solve A_p = K⁻¹b and the fluxoid mode A_h = K⁻¹c, then A = A_p + α·A_h with + // α = (Φ − cᵀA_p)/(cᵀA_h) enforcing the exact hole flux cᵀA = Φ at all λ. The scalar + // constraint pins only the loop integral, so the near-hole current is free to crowd. + MFEM_ASSERT(A_p_london.Size() == RHS.Size(), "London scratch vector size mismatch!"); + // Zero the scratch vectors before each solve. Magnetostatics defaults to a nonzero + // initial guess (iodata.cpp), and these vectors are reused across flux steps; a + // stale guess carrying a gradient/near-null-space component intermittently stalls + // CG on the gauge-singular operator K = K_cc + M_sheet (the fluxoid RHS c = Curlᵀf + // is marginally conditioned), producing a garbage A_h whose bad energy is injected + // via α·A_h. A clean zero start makes both solves robust and + // partition-/roundoff-independent. + A_p_london = 0.0; + ksp.Mult(RHS, A_p_london); + if (!ksp.GetConverged()) { - // London flux film: range-space (two-solve) solution of the bordered - // flux-constrained system. RHS holds the shifted-penalty drive b = M_sheet·a_h, - // boundary_values holds a_h. Solve A_p = K⁻¹b and the fluxoid mode A_h = K⁻¹c, then - // A = A_p + α·A_h with α = (Φ − cᵀA_p)/(cᵀA_h) enforcing the exact hole flux cᵀA = - // Φ at all λ. The scalar constraint pins only the loop integral, so the near-hole - // current is free to crowd. - MFEM_ASSERT(A_p_london.Size() == RHS.Size(), - "London scratch vector size mismatch!"); - // Zero the scratch vectors before each solve. Magnetostatics defaults to a nonzero - // initial guess (iodata.cpp), and these vectors are reused across flux steps; a - // stale guess carrying a gradient/near-null-space component intermittently stalls - // CG on the gauge-singular operator K = K_cc + M_sheet (the fluxoid RHS c = Curlᵀf - // is marginally conditioned), producing a garbage A_h whose bad energy is injected - // via α·A_h. A clean zero start makes both solves robust and - // partition-/roundoff-independent. - A_p_london = 0.0; - ksp.Mult(RHS, A_p_london); - if (!ksp.GetConverged()) - { - // Return unconverged so SolveEstimateMarkRefine can halt adaptation and keep the - // last converged iteration. Bail before postprocessing so no unreliable - // inductance is written; the initial-solve check downstream still fails loud with - // no fallback. - Mpi::Warning("London solve A_p = K⁻¹b did not converge for flux loop {:d}!\n", - idx); - solve_converged_ = false; - return {indicator, curlcurl_op.GlobalTrueVSize()}; - } - curlcurl_op.GetFluxConstraintVector(idx, RHS_c_london); - A_h_london = 0.0; - ksp.Mult(RHS_c_london, A_h_london); - if (!ksp.GetConverged()) - { - Mpi::Warning("London solve A_h = K⁻¹c did not converge for flux loop {:d}!\n", - idx); - solve_converged_ = false; - return {indicator, curlcurl_op.GlobalTrueVSize()}; - } - double phi_p = curlcurl_op.MeasureLondonHoleFlux(idx, A_p_london); - double phi_h = curlcurl_op.MeasureLondonHoleFlux(idx, A_h_london); - MFEM_VERIFY( - std::abs(phi_h) > 1.0e-30, - "London fluxoid mode carries ~zero hole flux; cannot enforce constraint!"); - double alpha = (data.GetExcitationFlux() - phi_p) / phi_h; - A[step] = A_p_london; - A[step].Add(alpha, A_h_london); - - // Accumulate the kinetic penalty energy S(A_t − a_h) = (A − a_h)ᵀ M_sheet (A − - // a_h), formed directly (not via the cancellation-prone S(A,A) − 2S(A,a_h) + - // S(a_h,a_h)) so it is trustworthy even when the stiff-penalty solve is - // under-resolved. - Vector d(A[step]), msd(A[step].Size()); - msd.UseDevice(true); - d -= boundary_values; - curlcurl_op.ApplySheetMass(d, msd); - london_kinetic += linalg::Dot(curlcurl_op.GetComm(), d, msd); - Phi_inc[step] = data.GetExcitationFlux(); // Exact via the flux constraint. - - // Retain b and a_h for the cross-energy correction in PostprocessTerminals. - london_rhs[step] = RHS; - london_ah[step] = boundary_values; + // Return unconverged so SolveEstimateMarkRefine can halt adaptation and keep the + // last converged iteration. Bail before postprocessing so no unreliable inductance + // is written; the initial-solve check downstream still fails loud with no fallback. + Mpi::Warning(curlcurl_op.GetComm(), + "London solve A_p = K⁻¹b did not converge for flux loop {:d}!\n", idx); + solve_converged_ = false; + return {indicator, curlcurl_op.GlobalTrueVSize()}; } - else + curlcurl_op.GetFluxConstraintVector(idx, RHS_c_london); + A_h_london = 0.0; + ksp.Mult(RHS_c_london, A_h_london); + if (!ksp.GetConverged()) { - ksp.Mult(RHS, A[step]); + Mpi::Warning(curlcurl_op.GetComm(), + "London solve A_h = K⁻¹c did not converge for flux loop {:d}!\n", idx); + solve_converged_ = false; + return {indicator, curlcurl_op.GlobalTrueVSize()}; + } + double phi_p = curlcurl_op.MeasureLondonHoleFlux(idx, A_p_london); + double phi_h = curlcurl_op.MeasureLondonHoleFlux(idx, A_h_london); + if (!(std::abs(phi_h) > 1.0e-30)) + { + // Degenerate fluxoid mode: cannot normalize α. Halt adaptation and keep the last + // converged iteration rather than aborting the run. + Mpi::Warning(curlcurl_op.GetComm(), + "London fluxoid mode carries ~zero hole flux for flux loop {:d}; " + "halting adaptation!\n", + idx); + solve_converged_ = false; + return {indicator, curlcurl_op.GlobalTrueVSize()}; } + double alpha = (data.GetExcitationFlux() - phi_p) / phi_h; + A[step] = A_p_london; + A[step].Add(alpha, A_h_london); + + // Accumulate the kinetic penalty energy S(A_t − a_h) = (A − a_h)ᵀ M_sheet (A − a_h), + // formed directly (not via the cancellation-prone S(A,A) − 2S(A,a_h) + S(a_h,a_h)) so + // it is trustworthy even when the stiff-penalty solve is under-resolved. + Vector d(A[step]), msd(A[step].Size()); + msd.UseDevice(true); + d -= boundary_values; + curlcurl_op.ApplySheetMass(d, msd); + london_kinetic += linalg::Dot(curlcurl_op.GetComm(), d, msd); + + // Retain b and a_h for the cross-energy correction in PostprocessTerminals. + london_rhs[step] = RHS; + london_ah[step] = boundary_values; } } diff --git a/palace/models/curlcurloperator.cpp b/palace/models/curlcurloperator.cpp index 98a338e077c..a538ebc0d10 100644 --- a/palace/models/curlcurloperator.cpp +++ b/palace/models/curlcurloperator.cpp @@ -3,7 +3,6 @@ #include "curlcurloperator.hpp" -#include #include #include "fem/bilinearform.hpp" #include "fem/coefficient.hpp" diff --git a/palace/models/surfacefluxoperator.cpp b/palace/models/surfacefluxoperator.cpp index 823b3319a7f..3ecef1fad1f 100644 --- a/palace/models/surfacefluxoperator.cpp +++ b/palace/models/surfacefluxoperator.cpp @@ -12,8 +12,7 @@ namespace palace SurfaceFluxData::SurfaceFluxData(const config::FluxLoopData &data) : hole_attributes(data.hole_attributes), flux_amounts(data.flux_amounts), film_attributes(data.film_attributes), - direction(data.direction.begin(), data.direction.end()), - regularization(data.regularization) + direction(data.direction.begin(), data.direction.end()) { } diff --git a/palace/models/surfacefluxoperator.hpp b/palace/models/surfacefluxoperator.hpp index 767049008a8..42cd1acafc6 100644 --- a/palace/models/surfacefluxoperator.hpp +++ b/palace/models/surfacefluxoperator.hpp @@ -31,7 +31,6 @@ class SurfaceFluxData std::vector flux_amounts; std::vector film_attributes; std::vector direction; - double regularization; public: SurfaceFluxData(const config::FluxLoopData &data); diff --git a/palace/utils/configfile.cpp b/palace/utils/configfile.cpp index 37af9b85bcb..c6636a8d3dc 100644 --- a/palace/utils/configfile.cpp +++ b/palace/utils/configfile.cpp @@ -921,10 +921,6 @@ FluxLoopData::FluxLoopData(const json &fluxloop) MFEM_VERIFY(hole_attributes.size() == flux_amounts.size(), "\"HoleAttributes\" and \"FluxAmounts\" arrays must have the same size!"); - regularization = fluxloop.value("Regularization", regularization); - MFEM_VERIFY(regularization > 0.0, - "\"Regularization\" for \"FluxLoop\" boundary must be positive!"); - pec_lperp = fluxloop.value("PecPenetrationDepth", pec_lperp); MFEM_VERIFY(pec_lperp > 0.0, "\"PecPenetrationDepth\" for \"FluxLoop\" boundary must be positive!"); diff --git a/palace/utils/configfile.hpp b/palace/utils/configfile.hpp index b1b54524c6c..f834f4a6349 100644 --- a/palace/utils/configfile.hpp +++ b/palace/utils/configfile.hpp @@ -792,9 +792,6 @@ struct FluxLoopData // Direction vector for flux orientation. std::array direction = {0.0, 0.0, 1.0}; - // Regularization parameter for curl-curl system stability. - double regularization = 1e-6; - // Effective λ⊥ [mesh units] for a film listed in FilmAttributes but not declared a // Superconductor: models it as the λ→0 London limit (auto-registered SC sheet, solved by // the two-solve). @@ -1138,18 +1135,11 @@ struct LinearSolverData // problems. int ams_singular_op = -1; - // Preconditioner-only gauge shift for the London (superconductor sheet) magnetostatic - // operator. When a London flux film is present the shifted-penalty operator K̃ = - // A_curlcurl - // + (1/L_ksq) M_sheet has a residual 1-D gradient null space (film-constant potential), - // which stalls/diverges AMS in parallel. This adds london_pc_shift · (1/µ) ∫|A|² as a - // volume mass to the PRECONDITIONER matrix ONLY (the actual operator, solution and - // extracted inductance are unchanged), lifting all gradient modes so AMS is SPD-solvable. - // Applied only when a London sheet term is present; ignored otherwise. Default 1e-1: on - // finer meshes a smaller shift (1e-2) leaves the second (harmonic) range-space solve - // intermittently divergent in parallel (reduction factor >1, run-to-run non-deterministic - // via non-associative MPI reductions); 1e-1 stabilizes it and, being preconditioner-only, - // leaves the extracted inductance bit-identical while converging in fewer iterations. + // Preconditioner-only gauge shift for the London magnetostatic operator: adds + // london_pc_shift · (1/µ) ∫|A|² to the preconditioner matrix only (operator, solution and + // extracted inductance unchanged) to lift the shifted-penalty operator's residual + // gradient null space so AMS is SPD-solvable in parallel. Ignored when no London sheet is + // present. double london_pc_shift = 1.0e-1; // Option to use aggressive coarsening for Hypre AMG solves (with BoomerAMG or AMS). diff --git a/palace/utils/iodata.cpp b/palace/utils/iodata.cpp index e392ab04055..5186b31223a 100644 --- a/palace/utils/iodata.cpp +++ b/palace/utils/iodata.cpp @@ -579,69 +579,37 @@ void IoData::CheckConfiguration() { solver.linear.mg_smooth_order = std::max(2 * solver.order, 4); } - // Auto-register a film listed in FilmAttributes but not declared a Superconductor sheet - // as the λ→0 London limit: a superconductor sheet with a small effective L_ksq = λ⊥ (set - // λ = d = λ⊥ so λ²/d = λ⊥). This routes the film through the range-space two-solve - // (rigorous fluxoid + B·n=0, gauge-invariant, partition-independent) instead of the - // whole-film Dirichlet clamp. Runs before the ams_singular_op default below so the film - // is seen as a London film. + // A FilmAttributes boundary not declared a Superconductor is the λ→0 London limit: + // register it as a sheet with small effective L_ksq = λ⊥ (λ = d = λ⊥). Must run before + // the ams_singular_op default below. if (problem.type == ProblemType::MAGNETOSTATIC) { std::set sc_attrs; for (const auto &sc : boundaries.superconductor) { - for (auto attr : sc.attributes) - { - sc_attrs.insert(attr); - } + sc_attrs.insert(sc.attributes.begin(), sc.attributes.end()); } for (const auto &[idx, fl] : boundaries.fluxloop) { for (auto attr : fl.film_attributes) { - if (!sc_attrs.count(attr)) + if (sc_attrs.insert(attr).second) { config::SuperconductorData sc; sc.lambda_L = fl.pec_lperp; sc.thickness = fl.pec_lperp; sc.attributes = {attr}; boundaries.superconductor.push_back(sc); - sc_attrs.insert(attr); } } } } if (solver.linear.ams_singular_op < 0) { - // A London flux film (a FilmAttributes boundary that is also a Superconductor sheet) - // leaves the film interior free, so the shifted-penalty operator K̃ = A_curlcurl + - // (1/L_ksq) M_sheet keeps a residual 1-D gradient null space and is NOT the pure - // singular curl-curl operator: singular-AMS (which skips gradient G-space corrections) - // then stalls/diverges in parallel. For that case default AMSSingularOperator=false so - // AMS does the G-space corrections, which are well-posed against the preconditioner - // gauge shift (LondonPCShift). - bool has_london_film = false; - if (problem.type == ProblemType::MAGNETOSTATIC) - { - std::set sc_attrs; - for (const auto &sc : boundaries.superconductor) - { - for (auto attr : sc.attributes) - { - sc_attrs.insert(attr); - } - } - for (const auto &[idx, fl] : boundaries.fluxloop) - { - for (auto attr : fl.film_attributes) - { - if (sc_attrs.count(attr)) - { - has_london_film = true; - } - } - } - } + // A Superconductor sheet's (1/L_ksq) M_sheet penalty leaves a residual gradient null + // space, so K̃ is not the pure singular curl-curl operator; use full AMS (G-space + // corrections) rather than singular-AMS, which stalls in parallel. + const bool has_london_film = !boundaries.superconductor.empty(); solver.linear.ams_singular_op = (problem.type == ProblemType::MAGNETOSTATIC && !has_london_film); } diff --git a/scripts/schema/config-schema.json b/scripts/schema/config-schema.json index 858ffdcbf33..db1f144ccc2 100644 --- a/scripts/schema/config-schema.json +++ b/scripts/schema/config-schema.json @@ -1625,12 +1625,6 @@ } ] }, - "Regularization": { - "type": "number", - "description": "Regularization parameter for the curl-curl system stability on the 2D surface problem.", - "exclusiveMinimum": 0.0, - "default": 1.0e-6 - }, "PecPenetrationDepth": { "type": "number", "description": "Effective sheet penetration depth λ⊥ [mesh length units] used to model a FilmAttributes film that is not declared a \"Superconductor\" as the λ→0 perfect-screening limit. Smaller values approach an ideal perfect conductor.", @@ -3061,7 +3055,7 @@ "LondonPCShift": { "type": "number", "description": "Preconditioner-only gauge shift for magnetostatic problems with a London (superconductor) sheet term. Adds this multiple of the reluctance-weighted volume mass to the preconditioner matrix only (leaving the operator, solution, and extracted inductance unchanged) to lift the residual gradient null space so AMS is SPD-solvable in parallel. Ignored when no London sheet term is present.", - "default": 0.01, + "default": 0.1, "x-palace-advanced": true }, "AMGAggressiveCoarsening": {

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