718 lines
24 KiB
C++
718 lines
24 KiB
C++
module;
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#include <array>
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#include <cmath>
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#include <cstdint>
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#include <limits>
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#include <mfem.hpp>
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module mean_field;
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import :operators.prepared_barotropic_closure;
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namespace {
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int get_density_size(const mean_field::fem::FEM &f) {
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MFEM_VERIFY(
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f.densityFes != nullptr,
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"PreparedBarotropicClosureOperator requires the "
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"density finite-element space."
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);
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return f.densityFes->GetTrueVSize();
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}
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int get_enthalpy_size(const mean_field::fem::FEM &f) {
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MFEM_VERIFY(
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f.enthalpyFes != nullptr,
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"PreparedBarotropicClosureOperator requires the "
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"enthalpy finite-element space."
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);
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return f.enthalpyFes->GetTrueVSize();
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}
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void validate_finite_vector(
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const mfem::Vector &vector,
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const char *message
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) {
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for (int i = 0; i < vector.Size(); ++i) {
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MFEM_VERIFY(std::isfinite(vector(i)), message);
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}
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}
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void true_to_local(
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const mfem::ParFiniteElementSpace &finiteElementSpace,
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const mfem::Vector &trueVector,
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mfem::Vector &localVector
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) {
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MFEM_VERIFY(
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trueVector.Size() == finiteElementSpace.GetTrueVSize(),
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"True vector has the wrong size."
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);
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localVector.SetSize(finiteElementSpace.GetVSize());
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const mfem::Operator *prolongation =
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finiteElementSpace.GetProlongationMatrix();
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if (prolongation != nullptr) {
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prolongation->Mult(trueVector, localVector);
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} else {
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localVector = trueVector;
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}
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}
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void local_to_true(
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const mfem::ParFiniteElementSpace &finiteElementSpace,
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const mfem::Vector &localVector,
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mfem::Vector &trueVector
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) {
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MFEM_VERIFY(
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localVector.Size() == finiteElementSpace.GetVSize(),
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"Local vector has the wrong size."
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);
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trueVector.SetSize(finiteElementSpace.GetTrueVSize());
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trueVector = 0.0;
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const mfem::Operator *prolongation =
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finiteElementSpace.GetProlongationMatrix();
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if (prolongation != nullptr) {
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prolongation->MultTranspose(localVector, trueVector);
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} else {
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trueVector = localVector;
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}
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}
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int get_eos_extra_order(
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const mean_field::physics::PolytropicBarotrope &barotrope
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) {
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const double extraOrder =
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(barotrope.polytropic_index() - 1.0) *
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static_cast<double>(
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mean_field::field::Enthalpy::Scalar::familyOrder
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);
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MFEM_VERIFY(
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std::isfinite(extraOrder) && extraOrder >= 0.0 &&
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extraOrder <=
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static_cast<double>(std::numeric_limits<int>::max()),
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"The EOS effective polynomial order is invalid."
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);
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return static_cast<int>(std::ceil(extraOrder));
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}
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const mfem::IntegrationRule &get_eos_rule(
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const mean_field::fem::FEM &f,
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const mean_field::physics::PolytropicBarotrope &barotrope,
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const mfem::FiniteElement &densityElement,
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const mfem::FiniteElement &enthalpyElement,
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const mfem::ElementTransformation &transformation
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) {
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using EnthalpyField =
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mean_field::field::Field<mean_field::field::Enthalpy>;
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MFEM_VERIFY(
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densityElement.GetOrder() ==
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mean_field::field::Density::Scalar::familyOrder,
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"The prepared EOS test element does not match "
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"the registered density field."
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);
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MFEM_VERIFY(
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enthalpyElement.GetOrder() ==
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mean_field::field::Enthalpy::Scalar::familyOrder,
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"The prepared EOS trial element does not match "
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"the registered enthalpy field."
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);
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const mean_field::quadrature::Query query = EnthalpyField::make_query<
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mean_field::field::Enthalpy::Form::EosClosureSource>(
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mean_field::quadrature::QuadratureRole::discretization,
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transformation.OrderW(),
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std::array<int, 1>{get_eos_extra_order(barotrope)},
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mean_field::utils::DOMAINS::STELLAR,
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mean_field::quadrature::MappingKind::general
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);
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const auto resolution =
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f.quadratureFactory->get(query, transformation.GetGeometryType());
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MFEM_VERIFY(
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resolution.integration_rule != nullptr,
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"The quadrature policy did not return a prepared "
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"EOS-closure integration rule."
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);
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return *resolution.integration_rule;
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}
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} // namespace
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namespace mean_field::operators {
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PreparedBarotropicClosureOperator::PreparedBarotropicClosureOperator(
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const fem::FEM &f,
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const mapping::DomainMapperStateless &domainMapper,
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const physics::PolytropicBarotrope &barotrope
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)
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: mfem::Operator(
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f.densityFes->GetTrueVSize(),
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f.densityFes->GetTrueVSize() + f.enthalpyFes->GetTrueVSize() +
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f.displacementFes->GetTrueVSize()
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),
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m_fem(f),
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m_domainMapper(domainMapper),
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m_barotrope(barotrope),
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m_densitySize(f.densityFes->GetTrueVSize()),
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m_enthalpySize(f.enthalpyFes->GetTrueVSize()) {
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MFEM_VERIFY(
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m_fem.densityFes != nullptr,
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"PreparedBarotropicClosureOperator requires "
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"a density finite-element space."
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);
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MFEM_VERIFY(
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m_fem.enthalpyFes != nullptr,
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"PreparedBarotropicClosureOperator requires "
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"an enthalpy finite-element space."
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);
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MFEM_VERIFY(
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m_fem.displacementFes != nullptr,
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"PreparedBarotropicClosureOperator requires "
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"a displacement finite-element space."
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);
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}
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void PreparedBarotropicClosureOperator::Prepare(
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const mfem::Vector &baseDensityTrue,
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const mfem::Vector &baseEnthalpyTrue,
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const mfem::Vector &displacementTrue
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) {
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MFEM_VERIFY(
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baseDensityTrue.Size() == m_densitySize,
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"PreparedBarotropicClosureOperator received a "
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"base-density vector with the wrong size."
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);
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MFEM_VERIFY(
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baseEnthalpyTrue.Size() == m_enthalpySize,
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"PreparedBarotropicClosureOperator received a "
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"base-enthalpy vector with the wrong size."
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);
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MFEM_VERIFY(
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displacementTrue.Size() == m_fem.displacementFes->GetTrueVSize(),
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"PreparedBarotropicClosureOperator received a "
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"displacement vector with the wrong size."
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);
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MFEM_VERIFY(
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baseDensityTrue.Size() == m_fem.densityFes->GetTrueVSize(),
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"The base density true vector has the wrong size."
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);
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MFEM_VERIFY(
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baseEnthalpyTrue.Size() == m_fem.enthalpyFes->GetTrueVSize(),
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"The base enthalpy true vector has the wrong size."
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);
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MFEM_VERIFY(
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displacementTrue.Size() == m_fem.displacementFes->GetTrueVSize(),
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"The base displacement true vector has the wrong size."
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);
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validate_finite_vector(
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baseDensityTrue, "PreparedBarotropicClosureOperator received a "
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"non-finite base-density value."
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);
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validate_finite_vector(
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baseEnthalpyTrue, "PreparedBarotropicClosureOperator received a "
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"non-finite base-enthalpy value."
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);
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validate_finite_vector(
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displacementTrue, "PreparedBarotropicClosureOperator received a "
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"non-finite displacement value."
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);
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m_isPrepared = false;
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m_elements.clear();
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m_elements.reserve(m_fem.mesh->GetNE());
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mfem::Vector baseDensityLocal;
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mfem::Vector baseEnthalpyLocal;
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mfem::Vector displacementLocal;
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true_to_local(*m_fem.densityFes, baseDensityTrue, baseDensityLocal);
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true_to_local(*m_fem.enthalpyFes, baseEnthalpyTrue, baseEnthalpyLocal);
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true_to_local(
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*m_fem.displacementFes, displacementTrue, displacementLocal
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);
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mapping::DomainMapperStateless::Workspace workspace(
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m_fem.mesh->Dimension()
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);
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mfem::Array<int> displacementDofs;
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mfem::Array<int> compactificationDofs;
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mfem::Vector elementBaseDensity;
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mfem::Vector elementBaseEnthalpy;
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mfem::Vector elementDisplacement;
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mfem::Vector elementCompactification;
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mfem::Vector densityShape;
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mfem::Vector enthalpyShape;
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const int vacuumAttribute = m_domainMapper.GetVacuumElementAttribute();
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for (int elementId = 0; elementId < m_fem.mesh->GetNE(); ++elementId) {
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mfem::ElementTransformation *transformation =
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m_fem.mesh->GetElementTransformation(elementId);
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MFEM_VERIFY(
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transformation != nullptr,
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"PreparedBarotropicClosureOperator received "
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"a null element transformation."
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);
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if (transformation->Attribute == vacuumAttribute) {
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continue;
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}
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m_elements.emplace_back();
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ElementPAData &data = m_elements.back();
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data.densityDofTransformation =
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m_fem.densityFes->GetElementDofs(elementId, data.densityDofs);
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data.enthalpyDofTransformation =
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m_fem.enthalpyFes->GetElementDofs(elementId, data.enthalpyDofs);
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mfem::DofTransformation *displacementDofTransformation =
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m_fem.displacementFes->GetElementVDofs(
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elementId, displacementDofs
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);
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mfem::DofTransformation *compactificationDofTransformation =
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m_fem.compactificationFes->GetElementDofs(
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elementId, compactificationDofs
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);
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baseDensityLocal.GetSubVector(data.densityDofs, elementBaseDensity);
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baseEnthalpyLocal.GetSubVector(
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data.enthalpyDofs, elementBaseEnthalpy
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);
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displacementLocal.GetSubVector(
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displacementDofs, elementDisplacement
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);
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m_fem.compactificationCoordinate->GetSubVector(
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compactificationDofs, elementCompactification
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);
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if (data.densityDofTransformation != nullptr) {
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data.densityDofTransformation->InvTransformPrimal(
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elementBaseDensity
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);
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}
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if (data.enthalpyDofTransformation != nullptr) {
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data.enthalpyDofTransformation->InvTransformPrimal(
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elementBaseEnthalpy
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);
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}
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if (displacementDofTransformation != nullptr) {
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displacementDofTransformation->InvTransformPrimal(
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elementDisplacement
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);
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}
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if (compactificationDofTransformation != nullptr) {
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compactificationDofTransformation->InvTransformPrimal(
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elementCompactification
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);
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}
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const mfem::FiniteElement &densityElement =
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*m_fem.densityFes->GetFE(elementId);
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const mfem::FiniteElement &enthalpyElement =
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*m_fem.enthalpyFes->GetFE(elementId);
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const mfem::FiniteElement &displacementElement =
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*m_fem.displacementFes->GetFE(elementId);
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const mfem::FiniteElement &compactificationElement =
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*m_fem.compactificationFes->GetFE(elementId);
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const mapping::ElementDisplacementData displacementData =
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mapping::ElementDisplacementDataFromElementVDofs(
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displacementElement, elementDisplacement
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);
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const mapping::ElementCompactificationData compactificationData(
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compactificationElement, elementCompactification
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);
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const mapping::ElementMappingData mappingData{
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.displacement = displacementData,
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.compactification = compactificationData
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};
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const mfem::IntegrationRule &integrationRule = get_eos_rule(
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m_fem, m_barotrope, densityElement, enthalpyElement,
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*transformation
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);
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const int quadraturePointCount = integrationRule.GetNPoints();
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const int densityDofCount = densityElement.GetDof();
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const int enthalpyDofCount = enthalpyElement.GetDof();
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data.densityBasis.SetSize(quadraturePointCount, densityDofCount);
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data.enthalpyBasis.SetSize(quadraturePointCount, enthalpyDofCount);
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data.weightedResidual.SetSize(quadraturePointCount);
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data.quadratureWeights.SetSize(quadraturePointCount);
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data.weightedEnthalpyDerivative.SetSize(quadraturePointCount);
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densityShape.SetSize(densityDofCount);
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enthalpyShape.SetSize(enthalpyDofCount);
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for (int quadraturePoint = 0;
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quadraturePoint < quadraturePointCount; ++quadraturePoint) {
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const mfem::IntegrationPoint &integrationPoint =
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integrationRule.IntPoint(quadraturePoint);
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transformation->SetIntPoint(&integrationPoint);
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mapping::VolumeMappingContext mappingContext;
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const mapping::MappingStatus mappingStatus =
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m_domainMapper.EvaluateVolume(
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mappingData, *transformation, integrationPoint,
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workspace, mappingContext
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);
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MFEM_VERIFY(
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mappingStatus == mapping::MappingStatus::valid,
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"Stateless mapping failed while preparing "
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"the barotropic closure operator. Element: "
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<< elementId
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<< ", attribute: " << transformation->Attribute
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<< ", quadrature point: " << quadraturePoint
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<< ", status: " << static_cast<int>(mappingStatus)
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);
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densityElement.CalcShape(integrationPoint, densityShape);
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enthalpyElement.CalcShape(integrationPoint, enthalpyShape);
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for (int densityDof = 0; densityDof < densityDofCount;
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++densityDof) {
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data.densityBasis(quadraturePoint, densityDof) =
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densityShape(densityDof);
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}
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for (int enthalpyDof = 0; enthalpyDof < enthalpyDofCount;
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++enthalpyDof) {
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data.enthalpyBasis(quadraturePoint, enthalpyDof) =
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enthalpyShape(enthalpyDof);
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}
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const double density = elementBaseDensity * densityShape;
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const double enthalpy = elementBaseEnthalpy * enthalpyShape;
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const double quadratureWeight =
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mappingContext.quadrature.weight;
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const double eosDensity =
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m_barotrope.density_from_enthalpy(enthalpy);
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const double enthalpyDerivative =
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m_barotrope.density_derivative_from_enthalpy(enthalpy);
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MFEM_VERIFY(
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std::isfinite(quadratureWeight) && quadratureWeight > 0.0 &&
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std::isfinite(eosDensity) &&
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std::isfinite(enthalpyDerivative),
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"PreparedBarotropicClosureOperator "
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"encountered invalid quadrature data."
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);
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data.quadratureWeights(quadraturePoint) = quadratureWeight;
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data.weightedResidual(quadraturePoint) =
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quadratureWeight * (density - eosDensity);
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data.weightedEnthalpyDerivative(quadraturePoint) =
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quadratureWeight * enthalpyDerivative;
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}
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}
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MFEM_VERIFY(
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!m_elements.empty(), "PreparedBarotropicClosureOperator found no "
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"stellar elements."
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);
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m_baseDensityTrue = baseDensityTrue;
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m_baseEnthalpyTrue = baseEnthalpyTrue;
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m_baseDisplacementTrue = displacementTrue;
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m_isPrepared = true;
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++m_preparationCount;
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}
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void PreparedBarotropicClosureOperator::BuildResidual(
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mfem::Vector &residual
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) const {
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MFEM_VERIFY(
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m_isPrepared, "PreparedBarotropicClosureOperator must be "
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"prepared before BuildResidual is called."
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);
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mfem::Vector localResidual(m_fem.densityFes->GetVSize());
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localResidual = 0.0;
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mfem::Vector elementResidual;
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for (const ElementPAData &data : m_elements) {
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elementResidual.SetSize(data.densityDofs.Size());
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data.densityBasis.MultTranspose(
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data.weightedResidual, elementResidual
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);
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if (data.densityDofTransformation != nullptr) {
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data.densityDofTransformation->TransformDual(elementResidual);
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}
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localResidual.AddElementVector(data.densityDofs, elementResidual);
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}
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local_to_true(*m_fem.densityFes, localResidual, residual);
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}
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void PreparedBarotropicClosureOperator::Mult(
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const mfem::Vector &densityVariationTrue,
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const mfem::Vector &enthalpyVariationTrue,
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const mfem::Vector &displacementVariationTrue,
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mfem::Vector &action
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) const {
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VerifyPrepared();
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MFEM_VERIFY(
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densityVariationTrue.Size() == m_densitySize,
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"The density-variation true vector has "
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"the wrong size."
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);
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MFEM_VERIFY(
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enthalpyVariationTrue.Size() == m_enthalpySize,
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"The enthalpy-variation true vector has "
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"the wrong size."
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);
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MFEM_VERIFY(
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displacementVariationTrue.Size() ==
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m_fem.displacementFes->GetTrueVSize(),
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"The displacement-variation true vector has "
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"the wrong size."
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);
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Mult(densityVariationTrue, enthalpyVariationTrue, action);
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mfem::Vector displacementAction;
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kernels::apply_barotropic_closure_displacement_action(
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m_fem, m_domainMapper, m_barotrope, m_baseDensityTrue,
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m_baseEnthalpyTrue, m_baseDisplacementTrue,
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displacementVariationTrue, displacementAction
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);
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MFEM_VERIFY(
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displacementAction.Size() == m_densitySize,
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"The barotropic-closure displacement action "
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|
"returned a vector with the wrong size."
|
|
);
|
|
|
|
action += displacementAction;
|
|
}
|
|
|
|
void PreparedBarotropicClosureOperator::Mult(
|
|
const mfem::Vector &combinedVariation,
|
|
mfem::Vector &action
|
|
) const {
|
|
VerifyPrepared();
|
|
|
|
const int displacementSize = m_fem.displacementFes->GetTrueVSize();
|
|
|
|
const int combinedSize =
|
|
m_densitySize + m_enthalpySize + displacementSize;
|
|
|
|
MFEM_VERIFY(
|
|
combinedVariation.Size() == combinedSize,
|
|
"The combined barotropic-closure variation "
|
|
"vector has the wrong size. Expected "
|
|
<< combinedSize << " entries but received "
|
|
<< combinedVariation.Size() << "."
|
|
);
|
|
|
|
mfem::real_t *combinedData =
|
|
const_cast<mfem::real_t *>(combinedVariation.HostRead());
|
|
|
|
const mfem::Vector densityVariationTrue(combinedData, m_densitySize);
|
|
|
|
const mfem::Vector enthalpyVariationTrue(
|
|
combinedData + m_densitySize, m_enthalpySize
|
|
);
|
|
|
|
const mfem::Vector displacementVariationTrue(
|
|
combinedData + m_densitySize + m_enthalpySize, displacementSize
|
|
);
|
|
|
|
Mult(
|
|
densityVariationTrue, enthalpyVariationTrue,
|
|
displacementVariationTrue, action
|
|
);
|
|
}
|
|
|
|
void PreparedBarotropicClosureOperator::Mult(
|
|
const mfem::Vector &densityVariationTrue,
|
|
const mfem::Vector &enthalpyVariationTrue,
|
|
mfem::Vector &action
|
|
) const {
|
|
MFEM_VERIFY(
|
|
m_isPrepared, "PreparedBarotropicClosureOperator must be "
|
|
"prepared before Mult is called."
|
|
);
|
|
|
|
MFEM_VERIFY(
|
|
densityVariationTrue.Size() == m_densitySize,
|
|
"PreparedBarotropicClosureOperator received a "
|
|
"density variation with the wrong size."
|
|
);
|
|
|
|
MFEM_VERIFY(
|
|
enthalpyVariationTrue.Size() == m_enthalpySize,
|
|
"PreparedBarotropicClosureOperator received an "
|
|
"enthalpy variation with the wrong size."
|
|
);
|
|
|
|
mfem::Vector densityVariationLocal;
|
|
mfem::Vector enthalpyVariationLocal;
|
|
|
|
true_to_local(
|
|
*m_fem.densityFes, densityVariationTrue, densityVariationLocal
|
|
);
|
|
|
|
true_to_local(
|
|
*m_fem.enthalpyFes, enthalpyVariationTrue, enthalpyVariationLocal
|
|
);
|
|
|
|
mfem::Vector localAction(m_fem.densityFes->GetVSize());
|
|
localAction = 0.0;
|
|
|
|
mfem::Vector elementDensityVariation;
|
|
mfem::Vector elementEnthalpyVariation;
|
|
mfem::Vector quadratureDensityVariation;
|
|
mfem::Vector quadratureEnthalpyVariation;
|
|
mfem::Vector quadratureAction;
|
|
mfem::Vector elementAction;
|
|
|
|
for (const ElementPAData &data : m_elements) {
|
|
densityVariationLocal.GetSubVector(
|
|
data.densityDofs, elementDensityVariation
|
|
);
|
|
|
|
enthalpyVariationLocal.GetSubVector(
|
|
data.enthalpyDofs, elementEnthalpyVariation
|
|
);
|
|
|
|
if (data.densityDofTransformation != nullptr) {
|
|
data.densityDofTransformation->InvTransformPrimal(
|
|
elementDensityVariation
|
|
);
|
|
}
|
|
|
|
if (data.enthalpyDofTransformation != nullptr) {
|
|
data.enthalpyDofTransformation->InvTransformPrimal(
|
|
elementEnthalpyVariation
|
|
);
|
|
}
|
|
|
|
quadratureDensityVariation.SetSize(data.quadratureWeights.Size());
|
|
|
|
quadratureEnthalpyVariation.SetSize(data.quadratureWeights.Size());
|
|
|
|
quadratureAction.SetSize(data.quadratureWeights.Size());
|
|
|
|
data.densityBasis.Mult(
|
|
elementDensityVariation, quadratureDensityVariation
|
|
);
|
|
|
|
data.enthalpyBasis.Mult(
|
|
elementEnthalpyVariation, quadratureEnthalpyVariation
|
|
);
|
|
|
|
for (int quadraturePoint = 0;
|
|
quadraturePoint < quadratureAction.Size(); ++quadraturePoint) {
|
|
quadratureAction(quadraturePoint) =
|
|
data.quadratureWeights(quadraturePoint) *
|
|
quadratureDensityVariation(quadraturePoint) -
|
|
data.weightedEnthalpyDerivative(quadraturePoint) *
|
|
quadratureEnthalpyVariation(quadraturePoint);
|
|
}
|
|
|
|
elementAction.SetSize(data.densityDofs.Size());
|
|
|
|
data.densityBasis.MultTranspose(quadratureAction, elementAction);
|
|
|
|
if (data.densityDofTransformation != nullptr) {
|
|
data.densityDofTransformation->TransformDual(elementAction);
|
|
}
|
|
|
|
localAction.AddElementVector(data.densityDofs, elementAction);
|
|
}
|
|
|
|
local_to_true(*m_fem.densityFes, localAction, action);
|
|
}
|
|
|
|
bool PreparedBarotropicClosureOperator::IsPrepared() const noexcept {
|
|
return m_isPrepared;
|
|
}
|
|
|
|
std::uint64_t
|
|
PreparedBarotropicClosureOperator::GetPreparationCount() const noexcept {
|
|
return m_preparationCount;
|
|
}
|
|
|
|
int PreparedBarotropicClosureOperator::GetDensitySize() const noexcept {
|
|
return m_densitySize;
|
|
}
|
|
|
|
int PreparedBarotropicClosureOperator::GetEnthalpySize() const noexcept {
|
|
return m_enthalpySize;
|
|
}
|
|
|
|
void PreparedBarotropicClosureOperator::VerifyPrepared() const {
|
|
MFEM_VERIFY(
|
|
m_isPrepared, "PreparedBarotropicClosureOperator must be "
|
|
"prepared before this operation is called."
|
|
);
|
|
}
|
|
} // namespace mean_field::operators
|