feat(FieldDofMap): Completed FieldDofMap migration
also removed legacy BarotropicPolytrope implementation
This commit is contained in:
@@ -2,171 +2,10 @@ module;
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#include "mfem.hpp"
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#include <array>
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#include <cmath>
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#include <format>
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#include <source_location>
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#include <string_view>
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#include <unordered_map>
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module mean_field;
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import :mapping.coefficients;
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import :analysis.integral;
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namespace {
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double centrifugal_potential(
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const mfem::Vector &phys_x,
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const double omega
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) {
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const double s2 = std::pow(phys_x(0), 2) + std::pow(phys_x(1), 2);
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return -0.5 * s2 * std::pow(omega, 2);
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}
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void grid_function_to_true_dofs(
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const mfem::ParFiniteElementSpace &finite_element_space,
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const mfem::GridFunction &grid_function,
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mfem::Vector &true_dofs
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) {
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MFEM_VERIFY(
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grid_function.Size() == finite_element_space.GetVSize(),
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"The grid function does not match the requested finite-element "
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"space."
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);
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true_dofs.SetSize(finite_element_space.GetTrueVSize());
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const mfem::Operator *restriction = finite_element_space.GetRestrictionMatrix();
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if (restriction != nullptr) {
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restriction->Mult(grid_function, true_dofs);
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} else {
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MFEM_VERIFY(
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grid_function.Size() == true_dofs.Size(), "A finite-element space without a restriction operator must "
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"have "
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"matching local and true sizes."
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);
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true_dofs = grid_function;
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}
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}
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} // namespace
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namespace mean_field::physics {
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GravitySolution grav_potential(
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fem::FEM &f,
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const utils::Args &args,
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const mfem::GridFunction &rho,
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const bool phi_warm
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) {
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MFEM_VERIFY(
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f.densityFes != nullptr && rho.FESpace() == f.densityFes.get(),
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"Gravity solve requires rho to use the registered density space."
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);
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MFEM_VERIFY(f.gravityPotentialFes != nullptr, "Gravity solve requires the registered gravity-potential space.");
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mfem::Array<int> outer_bdr_marker(f.mesh->bdr_attributes.Max());
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outer_bdr_marker = 0;
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outer_bdr_marker[1] = 1;
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mfem::ParLinearForm g_rhs(f.gravityFluxFes.get());
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// ReSharper disable once CppTooWideScope
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std::unique_ptr<mfem::Coefficient> boundary_potential_coeff;
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if (!f.has_mapping()) { // We only need to explicitly add a boundary
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// integrator if a mapping is not being used. In
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// the case where the outer domain has been
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// compactified the φ=0 boundary condition is
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// the natural condition and MFEM automatically
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// handles this
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auto boundary_potential = [&f](const mfem::Vector &x_physical) {
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return l2_multipole_potential(f, utils::MASS, x_physical);
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};
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boundary_potential_coeff = std::make_unique<mfem::FunctionCoefficient>(boundary_potential);
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auto boundary_integrator =
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std::make_unique<mfem::VectorFEBoundaryFluxLFIntegrator>(*boundary_potential_coeff);
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const mfem::FiniteElement &boundary_element = *f.gravityFluxFes->GetTypicalTraceElement();
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f.quadratureFactory->configure_gravity_boundary(
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*boundary_integrator, quadrature::QuadratureRole::discretization, boundary_element,
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utils::DOMAINS::VACUUM, quadrature::MappingKind::none
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);
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g_rhs.AddBoundaryIntegrator(boundary_integrator.release(), outer_bdr_marker);
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}
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g_rhs.Assemble();
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mfem::GridFunctionCoefficient rho_coeff(&rho);
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mfem::ConstantCoefficient G4pi(4.0 * M_PI * utils::G);
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mfem::ProductCoefficient source_coeff(G4pi, rho_coeff);
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mfem::ParLinearForm f_rhs(f.gravityPotentialFes.get());
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std::unique_ptr<mfem::Coefficient> mapped_source_coeff;
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mfem::Coefficient *active_source_coeff = &source_coeff;
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quadrature::MappingKind source_mapping_kind = quadrature::MappingKind::none;
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if (f.has_mapping()) {
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mapped_source_coeff = std::make_unique<mapping::MappedScalarCoefficient>(*f.mapping, source_coeff);
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active_source_coeff = mapped_source_coeff.get();
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source_mapping_kind = quadrature::MappingKind::general;
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}
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auto source_integrator = std::make_unique<mfem::DomainLFIntegrator>(*active_source_coeff);
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const mfem::FiniteElement &source_test_element = *f.gravityPotentialFes->GetTypicalFE();
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const mfem::ElementTransformation &source_transformation = *f.mesh->GetElementTransformation(0);
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const int source_coefficient_order = f.densityFes->GetMaxElementOrder();
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f.quadratureFactory->configure_gravity_source(
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*source_integrator, quadrature::QuadratureRole::discretization, source_test_element, source_transformation,
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source_coefficient_order, utils::DOMAINS::STELLAR, source_mapping_kind
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);
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f_rhs.AddDomainIntegrator(source_integrator.release(), f.gravityContext.stellar_mask);
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f_rhs.Assemble();
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mfem::BlockVector RHS(f.gravityBlockTrueOffsets);
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RHS.GetBlock(0) = *g_rhs.ParallelAssemble();
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RHS.GetBlock(1) = *f_rhs.ParallelAssemble();
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mfem::BlockVector X(f.gravityBlockTrueOffsets);
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X = 0.0;
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f.gravityContext.minres->SetOperator(*f.gravityContext.block_A);
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f.gravityContext.minres->Mult(RHS, X);
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GravitySolution solution(f);
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solution.gradPhi.SetFromTrueDofs(X.GetBlock(0));
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solution.phi.SetFromTrueDofs(X.GetBlock(1));
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return solution;
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}
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mfem::GridFunction get_potential(
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fem::FEM &fem,
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const utils::Args &args,
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const mfem::GridFunction &rho,
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const bool warm
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) {
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auto phi = grav_potential(fem, args, rho, warm);
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if (args.r.enabled) {
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auto rot = [&fem, &args](const mfem::Vector &x) {
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mfem::Vector rel_x = x;
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rel_x -= fem.com;
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return centrifugal_potential(rel_x, args.r.omega);
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};
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std::unique_ptr<mfem::Coefficient> centrifugal_coeff;
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if (fem.has_mapping()) {
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centrifugal_coeff = std::make_unique<mapping::PhysicalPositionFunctionCoefficient>(*fem.mapping, rot);
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} else {
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centrifugal_coeff = std::make_unique<mfem::FunctionCoefficient>(rot);
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}
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mfem::GridFunction centrifugal_gf(fem.gravityPotentialFes.get());
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centrifugal_gf.ProjectCoefficient(*centrifugal_coeff);
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phi.phi += centrifugal_gf;
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}
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return phi.phi;
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}
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mfem::DenseMatrix compute_quadrupole_moment_tensor(
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const fem::FEM &fem,
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const mfem::GridFunction &rho,
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@@ -175,9 +14,15 @@ namespace mean_field::physics {
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const int dim = fem.mesh->Dimension();
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mfem::DenseMatrix local_Q(dim, dim);
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local_Q = 0.0;
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using DomainSchema = utils::domain::CoreEnvelopeVacuumDomainSchema;
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mapping::GridFunctionMappingEvaluator mapping_evaluator(
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*fem.domainMapperStateless, *fem.displacement,
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*fem.compactificationCoordinate
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);
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for (int i = 0; i < fem.mesh->GetNE(); ++i) {
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if (fem.mesh->GetAttribute(i) == 3)
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if (!DomainSchema::template attribute_belongs_to<utils::domain::Stellar>(
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fem.mesh->GetAttribute(i)))
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continue;
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mfem::ElementTransformation *trans = fem.mesh->GetElementTransformation(i);
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@@ -193,20 +38,17 @@ namespace mean_field::physics {
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const mfem::IntegrationPoint &ip = ir.IntPoint(j);
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trans->SetIntPoint(&ip);
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double weight = trans->Weight() * ip.weight;
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if (fem.has_mapping()) {
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weight *= fem.mapping->ComputeDetJ(*trans, ip);
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}
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mapping::VolumeMappingContext mapping_context;
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MFEM_VERIFY(
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mapping_evaluator.EvaluateVolume(*trans, ip, mapping_context) ==
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mapping::MappingStatus::valid,
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"Quadrupole integration encountered an invalid mapping."
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);
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const double weight = mapping_context.quadrature.weight;
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const double rho_val = rho.GetValue(i, ip);
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mfem::Vector phys_point(dim);
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if (fem.has_mapping()) {
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fem.mapping->GetPhysicalPoint(*trans, ip, phys_point);
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} else {
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trans->Transform(ip, phys_point);
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}
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const mfem::Vector &phys_point = mapping_context.mapping.physical_position;
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mfem::Vector x_prime(dim);
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double r_sq = 0.0;
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@@ -261,141 +103,7 @@ namespace mean_field::physics {
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return l0_contrib + l2_contrib;
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}
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void update_stiffness_matrix(fem::FEM &f) {
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mfem::Array<int> empty_tdofs;
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// ==========================================
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// 1. Partially Assemble the High-Order Mass Block
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// ==========================================
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f.gravityContext.m_form = std::make_unique<mfem::ParBilinearForm>(f.gravityFluxFes.get());
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f.gravityContext.m_form->SetAssemblyLevel(mfem::AssemblyLevel::PARTIAL);
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std::unique_ptr<mfem::VectorFEMassIntegrator> hdiv_mass_integrator;
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if (f.has_mapping()) {
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f.gravityContext.mapped_hdiv_mass_coeff =
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std::make_unique<mapping::MappedHDivMassCoefficient>(*f.mapping, f.mesh->Dimension());
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hdiv_mass_integrator =
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std::make_unique<mfem::VectorFEMassIntegrator>(*f.gravityContext.mapped_hdiv_mass_coeff);
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} else {
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f.gravityContext.mapped_hdiv_mass_coeff.reset();
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hdiv_mass_integrator = std::make_unique<mfem::VectorFEMassIntegrator>();
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}
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const mfem::FiniteElement &hdiv_element = *f.gravityFluxFes->GetTypicalFE();
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const mfem::ElementTransformation &hdiv_transformation = *f.mesh->GetElementTransformation(0);
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const quadrature::MappingKind mapping_kind =
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f.has_mapping() ? quadrature::MappingKind::general : quadrature::MappingKind::none;
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f.quadratureFactory->configure_gravity_hdiv_mass(
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*hdiv_mass_integrator, quadrature::QuadratureRole::discretization, hdiv_element, hdiv_transformation,
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utils::DOMAINS::ALL, mapping_kind
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);
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f.gravityContext.m_form->AddDomainIntegrator(hdiv_mass_integrator.release());
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f.gravityContext.m_form->Assemble();
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// ==========================================
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// 2. Partially Assemble the High-Order Divergence Block
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// ==========================================
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f.gravityContext.b_form =
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std::make_unique<mfem::ParMixedBilinearForm>(f.gravityFluxFes.get(), f.gravityPotentialFes.get());
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f.gravityContext.b_form->SetAssemblyLevel(mfem::AssemblyLevel::PARTIAL);
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auto divergence_discretization_integrator = std::make_unique<mfem::VectorFEDivergenceIntegrator>();
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const mfem::FiniteElement &divergence_discretization_test_element = *f.gravityPotentialFes->GetTypicalFE();
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f.quadratureFactory->configure_gravity_divergence(
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*divergence_discretization_integrator, quadrature::QuadratureRole::discretization, hdiv_element,
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divergence_discretization_test_element, hdiv_transformation, utils::DOMAINS::ALL,
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quadrature::MappingKind::none
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);
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f.gravityContext.b_form->AddDomainIntegrator(divergence_discretization_integrator.release());
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f.gravityContext.b_form->Assemble();
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MFEM_VERIFY(
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f.domainMapperStateless != nullptr, "Gravity source partial assembly requires the stateless domain "
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"mapper."
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);
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mfem::Vector displacement_true(f.displacementFes->GetTrueVSize());
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displacement_true = 0.0;
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const mfem::GridFunction *active_displacement = f.mapping->GetDisplacement();
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if (active_displacement != nullptr) {
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grid_function_to_true_dofs(*f.displacementFes, *active_displacement, displacement_true);
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}
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auto source_form =
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std::make_unique<operators::PreparedMappedGravitySourceOperator>(f, *f.domainMapperStateless);
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using DomainSchema = utils::domain::CoreEnvelopeVacuumDomainSchema;
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const field::FieldDofMap displacement_map =
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field::make_field_dof_map<field::Displacement, DomainSchema>(*f.displacementFes);
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source_form->Prepare(displacement_map.gather(displacement_true));
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f.gravityContext.source_form = std::move(source_form);
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// ==========================================
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// 3. Assemble Global Block Operator
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// ==========================================
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f.gravityContext.BT = std::make_unique<mfem::TransposeOperator>(f.gravityContext.b_form.get());
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f.gravityContext.block_A = std::make_unique<mfem::BlockOperator>(f.gravityBlockTrueOffsets);
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f.gravityContext.block_A->SetBlock(0, 0, f.gravityContext.m_form.get());
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f.gravityContext.block_A->SetBlock(0, 1, f.gravityContext.BT.get());
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f.gravityContext.block_A->SetBlock(1, 0, f.gravityContext.b_form.get());
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// ==========================================
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// 4. Construct a mapped Schur preconditioner
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// ==========================================
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mfem::Vector mass_diagonal(f.gravityFluxFes->GetTrueVSize());
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f.gravityContext.m_form->AssembleDiagonal(mass_diagonal);
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mfem::Vector inverse_mass_diagonal(mass_diagonal);
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for (int i = 0; i < inverse_mass_diagonal.Size(); ++i) {
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MFEM_VERIFY(
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std::isfinite(inverse_mass_diagonal(i)) && inverse_mass_diagonal(i) > 0.0,
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"Mapped RT mass matrix has a non-positive or non-finite "
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"diagonal "
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"entry."
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);
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inverse_mass_diagonal(i) = 1.0 / inverse_mass_diagonal(i);
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}
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mfem::ParMixedBilinearForm b_preconditioner(f.gravityFluxFes.get(), f.gravityPotentialFes.get());
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auto divergence_preconditioner_integrator = std::make_unique<mfem::VectorFEDivergenceIntegrator>();
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const mfem::FiniteElement &divergence_trial_element = *f.gravityFluxFes->GetTypicalFE();
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const mfem::FiniteElement &divergence_test_element = *f.gravityPotentialFes->GetTypicalFE();
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const mfem::ElementTransformation &divergence_transformation = *f.mesh->GetElementTransformation(0);
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f.quadratureFactory->configure_gravity_divergence(
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*divergence_preconditioner_integrator, quadrature::QuadratureRole::preconditioner, divergence_trial_element,
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divergence_test_element, divergence_transformation, utils::DOMAINS::ALL, quadrature::MappingKind::none
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);
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b_preconditioner.AddDomainIntegrator(divergence_preconditioner_integrator.release());
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b_preconditioner.Assemble();
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b_preconditioner.Finalize();
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std::unique_ptr<mfem::HypreParMatrix> b_matrix(b_preconditioner.ParallelAssemble());
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std::unique_ptr<mfem::HypreParMatrix> inverse_mass_b_transpose(b_matrix->Transpose());
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inverse_mass_b_transpose->ScaleRows(inverse_mass_diagonal);
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f.gravityContext.Schur.reset(mfem::ParMult(b_matrix.get(), inverse_mass_b_transpose.get()));
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// ==========================================
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// 5. Wire Up the preconditioners
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// ==========================================
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f.gravityContext.prec_M = std::make_unique<mfem::OperatorJacobiSmoother>(mass_diagonal, empty_tdofs);
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f.gravityContext.prec_Phi->SetOperator(*f.gravityContext.Schur);
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f.gravityContext.block_prec->SetDiagonalBlock(0, f.gravityContext.prec_M.get());
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f.gravityContext.block_prec->SetDiagonalBlock(1, f.gravityContext.prec_Phi.get());
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}
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GravitySolution grav_potential_new(
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GravitySolution solve_gravity_field(
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fem::FEM &f,
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const utils::Args &args,
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const mfem::GridFunction &rho,
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@@ -417,13 +125,6 @@ namespace mean_field::physics {
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"displacement finite-element space."
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);
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MFEM_VERIFY(f.domainMapperStateless != nullptr, "Gravity initialization requires the stateless domain mapper.");
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MFEM_VERIFY(f.gravityContext.b_form != nullptr, "Gravity initialization requires the divergence operator.");
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MFEM_VERIFY(
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f.gravityContext.BT != nullptr, "Gravity initialization requires the transpose divergence operator."
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);
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MFEM_VERIFY(
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f.gravityContext.block_prec != nullptr, "Gravity initialization requires the gravity block preconditioner."
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);
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MFEM_VERIFY(
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rho.FESpace() == f.densityFes.get(), "Gravity initialization requires density to use the FEM density "
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"space."
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@@ -434,6 +135,7 @@ namespace mean_field::physics {
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"Vec_H1 "
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"space."
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);
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MFEM_VERIFY(args.p.max_iters > 0, "Gravity solve requires a positive MINRES iteration limit.");
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using form = utils::blocks::gravity_field_form;
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@@ -444,13 +146,19 @@ namespace mean_field::physics {
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utils::blocks::get_residual_block<form>(utils::blocks::gravity_field.poisson_term);
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using DomainSchema = utils::domain::CoreEnvelopeVacuumDomainSchema;
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const field::FieldDofMap density_map = field::make_field_dof_map<field::Density, DomainSchema>(*f.densityFes);
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const field::FieldDofMap displacement_map =
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field::make_field_dof_map<field::Displacement, DomainSchema>(*f.displacementFes);
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const field::FieldDofMap gravity_flux_map =
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field::make_field_dof_map<field::Gravity, DomainSchema>(*f.gravityFluxFes);
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const field::FieldDofMap gravity_potential_map =
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field::make_field_dof_map<field::Gravity, DomainSchema>(*f.gravityPotentialFes);
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const field::FieldDofGridFunctionAdapter density_adapter =
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field::make_field_dof_grid_function_adapter<field::Density, DomainSchema>(*f.densityFes);
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const field::FieldDofGridFunctionAdapter displacement_adapter =
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field::make_field_dof_grid_function_adapter<field::Displacement, DomainSchema>(*f.displacementFes);
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const field::FieldDofGridFunctionAdapter gravity_flux_adapter =
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field::make_field_dof_grid_function_adapter<field::Gravity, DomainSchema>(*f.gravityFluxFes);
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const field::FieldDofGridFunctionAdapter gravity_potential_adapter =
|
||||
field::make_field_dof_grid_function_adapter<field::Gravity, DomainSchema>(*f.gravityPotentialFes);
|
||||
|
||||
const field::FieldDofMap &density_map = density_adapter.dof_map();
|
||||
const field::FieldDofMap &displacement_map = displacement_adapter.dof_map();
|
||||
const field::FieldDofMap &gravity_flux_map = gravity_flux_adapter.dof_map();
|
||||
const field::FieldDofMap &gravity_potential_map = gravity_potential_adapter.dof_map();
|
||||
|
||||
const std::array<int, form::value_block_count> value_sizes{
|
||||
density_map.reduced_size(), displacement_map.reduced_size(), gravity_flux_map.reduced_size(),
|
||||
@@ -463,14 +171,8 @@ namespace mean_field::physics {
|
||||
|
||||
const utils::blocks::form_layout<form> layout(value_sizes, residual_sizes);
|
||||
|
||||
mfem::Vector density_true;
|
||||
mfem::Vector displacement_true;
|
||||
|
||||
grid_function_to_true_dofs(*f.densityFes, rho, density_true);
|
||||
grid_function_to_true_dofs(*f.displacementFes, displacement, displacement_true);
|
||||
|
||||
const mfem::Vector density = density_map.gather(density_true);
|
||||
const mfem::Vector reduced_displacement = displacement_map.gather(displacement_true);
|
||||
const mfem::Vector density = density_adapter.gather(rho);
|
||||
const mfem::Vector reduced_displacement = displacement_adapter.gather(displacement);
|
||||
|
||||
operators::context::gravity_field::GravityFieldLinearizationContext linearization_context(
|
||||
f, *f.domainMapperStateless
|
||||
@@ -491,6 +193,7 @@ namespace mean_field::physics {
|
||||
operators::ReducedGravityFieldOperator reduced_operator(
|
||||
gravity_operator, reduced_geometry_context, reduced_displacement
|
||||
);
|
||||
operators::ReducedGravityFieldPreconditioner reduced_preconditioner(f, reduced_geometry_context);
|
||||
|
||||
mfem::Vector right_hand_side;
|
||||
reduced_operator.BuildRightHandSide(density, right_hand_side);
|
||||
@@ -505,25 +208,24 @@ namespace mean_field::physics {
|
||||
|
||||
mfem::MINRESSolver minres(f.mesh->GetComm());
|
||||
minres.SetOperator(reduced_operator);
|
||||
minres.SetPreconditioner(*f.gravityContext.block_prec);
|
||||
minres.SetPreconditioner(reduced_preconditioner);
|
||||
minres.SetRelTol(args.p.rtol);
|
||||
minres.SetAbsTol(args.p.atol);
|
||||
minres.SetMaxIter(args.p.max_iters);
|
||||
minres.SetPrintLevel(1);
|
||||
// minres.SetPrintLevel(args.verbose ? 1 : 0);
|
||||
minres.SetPrintLevel(0);
|
||||
minres.Mult(right_hand_side, gravity_state);
|
||||
|
||||
MFEM_VERIFY(minres.GetConverged(), "The reduced gravity solve failed to converge.");
|
||||
|
||||
GravitySolution solution(f);
|
||||
|
||||
const mfem::Vector gravity_flux_true =
|
||||
gravity_flux_map.scatter(gravity_state.GetBlock(gravity_gradient_residual_block));
|
||||
const mfem::Vector gravity_potential_true =
|
||||
gravity_potential_map.scatter(gravity_state.GetBlock(gravity_poisson_residual_block));
|
||||
|
||||
solution.gradPhi.SetFromTrueDofs(gravity_flux_true);
|
||||
|
||||
solution.phi.SetFromTrueDofs(gravity_potential_true);
|
||||
gravity_flux_adapter.scatter(
|
||||
gravity_state.GetBlock(gravity_gradient_residual_block), solution.gradPhi
|
||||
);
|
||||
gravity_potential_adapter.scatter(
|
||||
gravity_state.GetBlock(gravity_poisson_residual_block), solution.phi
|
||||
);
|
||||
|
||||
return solution;
|
||||
}
|
||||
|
||||
@@ -10,9 +10,15 @@ namespace mean_field::physics {
|
||||
const mfem::GridFunction &rho_ref
|
||||
) {
|
||||
double local_I = 0.0;
|
||||
using DomainSchema = utils::domain::CoreEnvelopeVacuumDomainSchema;
|
||||
mapping::GridFunctionMappingEvaluator mapping_evaluator(
|
||||
*fem.domainMapperStateless, *fem.displacement,
|
||||
*fem.compactificationCoordinate
|
||||
);
|
||||
|
||||
for (int i = 0; i < fem.mesh->GetNE(); i++) {
|
||||
if (fem.mesh->GetAttribute(i) == 3)
|
||||
if (!DomainSchema::template attribute_belongs_to<utils::domain::Stellar>(
|
||||
fem.mesh->GetAttribute(i)))
|
||||
continue;
|
||||
|
||||
mfem::ElementTransformation *T = fem.mesh->GetElementTransformation(i);
|
||||
@@ -29,12 +35,16 @@ namespace mean_field::physics {
|
||||
|
||||
const double rho_hat = rho_ref.GetValue(i, ip);
|
||||
|
||||
mfem::Vector x_phys;
|
||||
fem.mapping->GetPhysicalPoint(*T, ip, x_phys);
|
||||
mapping::VolumeMappingContext mapping_context;
|
||||
MFEM_VERIFY(
|
||||
mapping_evaluator.EvaluateVolume(*T, ip, mapping_context) ==
|
||||
mapping::MappingStatus::valid,
|
||||
"Moment-of-inertia integration encountered an invalid mapping."
|
||||
);
|
||||
const mfem::Vector &x_phys = mapping_context.mapping.physical_position;
|
||||
|
||||
const double r_cyl_sq = x_phys(0) * x_phys(0) + x_phys(1) * x_phys(1);
|
||||
const double detJ = std::fabs(fem.mapping->ComputeDetJ(*T, ip));
|
||||
const double weight = T->Weight() * ip.weight * detJ;
|
||||
const double weight = mapping_context.quadrature.weight;
|
||||
|
||||
local_I += rho_hat * r_cyl_sq * weight;
|
||||
}
|
||||
|
||||
Reference in New Issue
Block a user