413 lines
16 KiB
C++
413 lines
16 KiB
C++
module;
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#include <cmath>
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#include <cstdint>
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#include <memory>
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#include <mfem.hpp>
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module mean_field;
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import :operators.prepared_hdiv_mass;
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namespace {
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using DomainSchema = mean_field::utils::domain::CoreEnvelopeVacuumDomainSchema;
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int get_operator_size(const mean_field::fem::FEM &f) {
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MFEM_VERIFY(f.gravityFluxFes != nullptr,
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"PreparedMappedHDivMassOperator requires the "
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"gravity-gradient finite-element space.");
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return mean_field::field::make_field_dof_map<mean_field::field::Gravity,
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DomainSchema>(*f.gravityFluxFes)
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.reduced_size();
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}
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void true_to_local(const mfem::ParFiniteElementSpace &finite_element_space,
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const mfem::Vector &true_vector,
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mfem::Vector &local_vector) {
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local_vector.SetSize(finite_element_space.GetVSize());
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const mfem::Operator *prolongation =
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finite_element_space.GetProlongationMatrix();
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if (prolongation != nullptr) {
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prolongation->Mult(true_vector, local_vector);
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} else {
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local_vector = true_vector;
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}
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}
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int find_representative_element(const mean_field::fem::FEM &f,
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const mfem::Array<int> &marker) {
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for (int element_id = 0; element_id < f.mesh->GetNE(); ++element_id) {
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const int attribute = f.mesh->GetAttribute(element_id);
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if (attribute > 0 && attribute <= marker.Size() &&
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marker[attribute - 1] != 0) {
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return element_id;
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}
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}
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return -1;
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}
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void validate_uniform_domain_discretization(
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const mean_field::fem::FEM &f, const mfem::Array<int> &marker,
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const int representative_element_id) {
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const mfem::FiniteElement &representative_element =
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*f.gravityFluxFes->GetFE(representative_element_id);
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const mfem::ElementTransformation &representative_transformation =
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*f.mesh->GetElementTransformation(representative_element_id);
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for (int element_id = 0; element_id < f.mesh->GetNE(); ++element_id) {
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const int attribute = f.mesh->GetAttribute(element_id);
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if (attribute <= 0 || attribute > marker.Size() ||
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marker[attribute - 1] == 0) {
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continue;
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}
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const mfem::FiniteElement &element = *f.gravityFluxFes->GetFE(element_id);
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const mfem::ElementTransformation &transformation =
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*f.mesh->GetElementTransformation(element_id);
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MFEM_VERIFY(element.GetGeomType() == representative_element.GetGeomType(),
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"Prepared H(div) mass domains currently require a uniform "
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"element "
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"geometry.");
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MFEM_VERIFY(element.GetOrder() == representative_element.GetOrder(),
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"Prepared H(div) mass domains currently require a uniform "
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"finite-element order.");
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MFEM_VERIFY(transformation.OrderW() ==
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representative_transformation.OrderW(),
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"Prepared H(div) mass domains currently require a uniform "
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"geometry-weight order.");
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}
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}
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class FrozenMappedHDivMassCoefficient final : public mfem::MatrixCoefficient {
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public:
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FrozenMappedHDivMassCoefficient(
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const mean_field::fem::FEM &f,
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const mean_field::mapping::DomainMapper &domain_mapper,
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const mfem::Vector &displacement_true, bool elevates_vacuum)
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: MatrixCoefficient(domain_mapper.GetDimension()), m_fem(f),
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m_domain_mapper(domain_mapper),
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m_workspace(domain_mapper.GetDimension()),
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m_elevates_vacuum(elevates_vacuum) {
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true_to_local(*m_fem.displacementFes, displacement_true,
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m_displacement_local);
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}
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void Eval(mfem::DenseMatrix &mass_tensor,
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mfem::ElementTransformation &transformation,
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const mfem::IntegrationPoint &integration_point) override {
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transformation.SetIntPoint(&integration_point);
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const int element_id = transformation.ElementNo;
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MFEM_VERIFY(
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element_id >= 0 && element_id < m_fem.mesh->GetNE(),
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"Mapped H(div) mass coefficient received an invalid element ID.");
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const bool element_is_vacuum = DomainSchema::template attribute_belongs_to<
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mean_field::utils::domain::Vacuum>(transformation.Attribute);
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if (element_is_vacuum != m_elevates_vacuum) {
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mass_tensor.SetSize(m_domain_mapper.GetDimension());
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mass_tensor = 0.0;
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return;
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}
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LoadElement(element_id);
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const mean_field::mapping::ElementMappingData mapping_data{
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.displacement = *m_displacement_data,
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.compactification = *m_compactification_data};
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mean_field::mapping::VolumeMappingContext mapping_context;
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const mean_field::mapping::MappingStatus status =
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m_domain_mapper.EvaluateVolume(mapping_data, transformation,
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integration_point, m_workspace,
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mapping_context);
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MFEM_VERIFY(status == mean_field::mapping::MappingStatus::valid,
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"Stateless domain mapping failed while preparing the H(div) "
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"mass "
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"operator. Mapping status = "
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<< static_cast<int>(status)
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<< ", element ID = " << element_id
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<< ", element attribute = " << transformation.Attribute
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<< ", coefficient domain = "
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<< (m_elevates_vacuum ? "vacuum" : "stellar"));
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const mfem::DenseMatrix &mapping_jacobian =
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mapping_context.mapping.mapping_jacobian;
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const double mapping_determinant =
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mapping_context.mapping.mapping_determinant;
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MFEM_VERIFY(std::isfinite(mapping_determinant) && mapping_determinant > 0.0,
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"Prepared H(div) mass operator encountered a non-positive or "
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"non-finite mapping determinant.");
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mfem::MultAtB(mapping_jacobian, mapping_jacobian, mass_tensor);
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mass_tensor *= 1.0 / mapping_determinant;
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}
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private:
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void LoadElement(const int element_id) {
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if (element_id == m_cached_element_id) {
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return;
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}
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const mfem::FiniteElement &displacement_element =
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*m_fem.displacementFes->GetFE(element_id);
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const mfem::FiniteElement &compactification_element =
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*m_fem.compactificationFes->GetFE(element_id);
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mfem::DofTransformation *displacement_dof_transformation =
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m_fem.displacementFes->GetElementVDofs(element_id, m_displacement_dofs);
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mfem::DofTransformation *compactification_dof_transformation =
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m_fem.compactificationFes->GetElementDofs(element_id,
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m_compactification_dofs);
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m_displacement_local.GetSubVector(m_displacement_dofs,
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m_element_displacement);
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m_fem.compactificationCoordinate->GetSubVector(m_compactification_dofs,
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m_element_compactification);
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if (displacement_dof_transformation != nullptr) {
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displacement_dof_transformation->InvTransformPrimal(
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m_element_displacement);
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}
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if (compactification_dof_transformation != nullptr) {
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compactification_dof_transformation->InvTransformPrimal(
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m_element_compactification);
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}
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m_displacement_data =
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std::make_unique<mean_field::mapping::ElementDisplacementData>(
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mean_field::mapping::ElementDisplacementDataFromElementVDofs(
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displacement_element, m_element_displacement));
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m_compactification_data =
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std::make_unique<mean_field::mapping::ElementCompactificationData>(
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compactification_element, m_element_compactification);
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m_cached_element_id = element_id;
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}
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const mean_field::fem::FEM &m_fem;
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const mean_field::mapping::DomainMapper &m_domain_mapper;
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mfem::Vector m_displacement_local;
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mfem::Array<int> m_displacement_dofs;
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mfem::Array<int> m_compactification_dofs;
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mfem::Vector m_element_displacement;
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mfem::Vector m_element_compactification;
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std::unique_ptr<mean_field::mapping::ElementDisplacementData>
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m_displacement_data;
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std::unique_ptr<mean_field::mapping::ElementCompactificationData>
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m_compactification_data;
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mean_field::mapping::DomainMapper::Workspace m_workspace;
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int m_cached_element_id{-1};
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bool m_elevates_vacuum;
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};
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} // namespace
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namespace mean_field::operators {
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PreparedMappedHDivMassOperator::PreparedMappedHDivMassOperator(
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const fem::FEM &f, const mapping::DomainMapper &domain_mapper)
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: Operator(get_operator_size(f)), m_fem(f), m_domain_mapper(domain_mapper),
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m_flux_map(field::make_field_dof_map<field::Gravity, DomainSchema>(
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*f.gravityFluxFes)),
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m_displacement_map(
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field::make_field_dof_map<field::Displacement, DomainSchema>(
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*f.displacementFes)) {
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MFEM_VERIFY(f.mesh != nullptr,
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"PreparedMappedHDivMassOperator requires a mesh.");
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MFEM_VERIFY(f.gravityFluxFes != nullptr,
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"PreparedMappedHDivMassOperator requires the "
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"gravity-gradient finite-element space.");
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MFEM_VERIFY(f.displacementFes != nullptr,
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"PreparedMappedHDivMassOperator requires the "
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"displacement finite-element space.");
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MFEM_VERIFY(f.compactificationFes != nullptr,
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"PreparedMappedHDivMassOperator requires the compactification "
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"finite-element space.");
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MFEM_VERIFY(f.compactificationCoordinate != nullptr,
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"PreparedMappedHDivMassOperator requires the compactification "
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"coordinate.");
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MFEM_VERIFY(f.quadratureFactory != nullptr,
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"PreparedMappedHDivMassOperator requires the quadrature-rule "
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"factory.");
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MFEM_VERIFY(domain_mapper.GetDimension() == f.mesh->Dimension(),
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"The stateless domain-mapper dimension does not match the mesh "
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"dimension.");
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m_stellar_marker =
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utils::domain::make_attribute_marker<utils::domain::Stellar,
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DomainSchema>(*f.mesh);
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m_vacuum_marker =
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utils::domain::make_attribute_marker<utils::domain::Vacuum, DomainSchema>(
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*f.mesh);
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const int stellar_element_id =
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find_representative_element(f, m_stellar_marker);
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const int vacuum_element_id = find_representative_element(f, m_vacuum_marker);
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MFEM_VERIFY(stellar_element_id >= 0,
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"PreparedMappedHDivMassOperator requires "
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"at least one stellar element.");
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MFEM_VERIFY(vacuum_element_id >= 0,
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"PreparedMappedHDivMassOperator requires at "
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"least one compactified vacuum element.");
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validate_uniform_domain_discretization(f, m_stellar_marker,
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stellar_element_id);
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validate_uniform_domain_discretization(f, m_vacuum_marker, vacuum_element_id);
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}
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void PreparedMappedHDivMassOperator::Prepare(const mfem::Vector &displacement) {
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MFEM_VERIFY(displacement.Size() == m_displacement_map.reduced_size(),
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"PreparedMappedHDivMassOperator received a displacement vector "
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"with "
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"the wrong size.");
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for (int i = 0; i < displacement.Size(); ++i) {
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MFEM_VERIFY(std::isfinite(displacement(i)),
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"PreparedMappedHDivMassOperator received a non-finite "
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"displacement "
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"value.");
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}
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m_displacement_true.SetSize(m_displacement_map.full_size());
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m_displacement_map.scatter(displacement, m_displacement_true);
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const int stellar_element_id =
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find_representative_element(m_fem, m_stellar_marker);
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const int vacuum_element_id =
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find_representative_element(m_fem, m_vacuum_marker);
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const mfem::FiniteElement &stellar_element =
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*m_fem.gravityFluxFes->GetFE(stellar_element_id);
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const mfem::FiniteElement &vacuum_element =
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*m_fem.gravityFluxFes->GetFE(vacuum_element_id);
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mfem::ElementTransformation &stellar_transformation =
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*m_fem.mesh->GetElementTransformation(stellar_element_id);
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mfem::ElementTransformation &vacuum_transformation =
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*m_fem.mesh->GetElementTransformation(vacuum_element_id);
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m_stellar_mass_form.reset();
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m_vacuum_mass_form.reset();
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m_stellar_mass_coefficient.reset();
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m_vacuum_mass_coefficient.reset();
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m_stellar_mass_coefficient =
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std::make_unique<FrozenMappedHDivMassCoefficient>(
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m_fem, m_domain_mapper, m_displacement_true, false);
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m_vacuum_mass_coefficient = std::make_unique<FrozenMappedHDivMassCoefficient>(
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m_fem, m_domain_mapper, m_displacement_true, true);
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m_stellar_mass_form =
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std::make_unique<mfem::ParBilinearForm>(m_fem.gravityFluxFes.get());
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m_vacuum_mass_form =
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std::make_unique<mfem::ParBilinearForm>(m_fem.gravityFluxFes.get());
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m_stellar_mass_form->SetAssemblyLevel(mfem::AssemblyLevel::PARTIAL);
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m_vacuum_mass_form->SetAssemblyLevel(mfem::AssemblyLevel::PARTIAL);
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auto stellar_integrator = std::make_unique<mfem::VectorFEMassIntegrator>(
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*m_stellar_mass_coefficient);
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auto vacuum_integrator = std::make_unique<mfem::VectorFEMassIntegrator>(
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*m_vacuum_mass_coefficient);
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m_fem.quadratureFactory->configure_gravity_hdiv_mass(
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*stellar_integrator, quadrature::QuadratureRole::discretization,
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stellar_element, stellar_transformation, utils::DOMAINS::STELLAR,
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quadrature::MappingKind::general);
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m_fem.quadratureFactory->configure_gravity_hdiv_mass(
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*vacuum_integrator, quadrature::QuadratureRole::discretization,
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vacuum_element, vacuum_transformation, utils::DOMAINS::VACUUM,
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quadrature::MappingKind::kelvin);
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m_stellar_mass_form->AddDomainIntegrator(stellar_integrator.release(),
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m_stellar_marker);
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m_vacuum_mass_form->AddDomainIntegrator(vacuum_integrator.release(),
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m_vacuum_marker);
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m_stellar_mass_form->Assemble();
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m_vacuum_mass_form->Assemble();
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m_is_prepared = true;
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++m_preparation_count;
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}
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void PreparedMappedHDivMassOperator::Mult(const mfem::Vector &gravity_gradient,
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mfem::Vector &action) const {
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MFEM_VERIFY(m_is_prepared, "PreparedMappedHDivMassOperator must be prepared "
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"before Mult is called.");
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MFEM_VERIFY(
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m_stellar_mass_form != nullptr && m_vacuum_mass_form != nullptr,
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"PreparedMappedHDivMassOperator has incomplete domain mass forms.");
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MFEM_VERIFY(
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gravity_gradient.Size() == Width(),
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"PreparedMappedHDivMassOperator received a gravity-gradient vector "
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"with the wrong size.");
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m_flux_true.SetSize(m_flux_map.full_size());
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m_action_true.SetSize(m_flux_map.full_size());
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m_domain_action_true.SetSize(m_flux_map.full_size());
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m_flux_map.scatter(gravity_gradient, m_flux_true);
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m_stellar_mass_form->Mult(m_flux_true, m_action_true);
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m_vacuum_mass_form->Mult(m_flux_true, m_domain_action_true);
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m_action_true += m_domain_action_true;
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action.SetSize(Height());
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m_flux_map.gather(m_action_true, action);
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}
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void PreparedMappedHDivMassOperator::AssembleDiagonal(
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mfem::Vector &diagonal) const {
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mfem::Vector true_diagonal;
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AssembleTrueDiagonal(true_diagonal);
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diagonal.SetSize(Height());
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m_flux_map.gather(true_diagonal, diagonal);
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}
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void PreparedMappedHDivMassOperator::AssembleTrueDiagonal(
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mfem::Vector &diagonal) const {
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MFEM_VERIFY(m_is_prepared, "PreparedMappedHDivMassOperator must be prepared "
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"before assembling its diagonal.");
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MFEM_VERIFY(
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m_stellar_mass_form != nullptr && m_vacuum_mass_form != nullptr,
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"PreparedMappedHDivMassOperator has incomplete domain mass forms.");
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diagonal.SetSize(m_flux_map.full_size());
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mfem::Vector domain_diagonal(m_flux_map.full_size());
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m_stellar_mass_form->AssembleDiagonal(diagonal);
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m_vacuum_mass_form->AssembleDiagonal(domain_diagonal);
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diagonal += domain_diagonal;
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}
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bool PreparedMappedHDivMassOperator::IsPrepared() const noexcept {
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return m_is_prepared;
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}
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std::uint64_t
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PreparedMappedHDivMassOperator::GetPreparationCount() const noexcept {
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return m_preparation_count;
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}
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const field::FieldDofMap &
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PreparedMappedHDivMassOperator::GetFluxMap() const noexcept {
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return m_flux_map;
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}
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const field::FieldDofMap &
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PreparedMappedHDivMassOperator::GetDisplacementMap() const noexcept {
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return m_displacement_map;
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}
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} // namespace mean_field::operators
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