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MeanField/libmeanfield/impl/operators/gravity_field.cpp

735 lines
33 KiB
C++

module;
#include "profile.h"
#include <cmath>
#include <cstdint>
#include <limits>
#include <mfem.hpp>
module mean_field;
import :operators.gravity_field;
import :solver.fields;
import :operators.kernels.gravity_field;
namespace {
using namespace mean_field;
using DomainSchema = utils::domain::CoreEnvelopeVacuumDomainSchema;
int get_state_width(const mfem::Array<int> &state_offsets) {
MFEM_VERIFY(state_offsets.Size() >= 2, "The coupled state requires at least one block.");
MFEM_VERIFY(state_offsets[0] == 0, "The coupled state offsets must begin at zero.");
for (int i = 0; i < state_offsets.Size() - 1; ++i) {
MFEM_VERIFY(state_offsets[i + 1] >= state_offsets[i], "The coupled state offsets must be nondecreasing.");
}
MFEM_VERIFY(state_offsets.Last() > 0, "The coupled state cannot be empty.");
return state_offsets.Last();
}
int get_gravity_residual_height(const fem::FEM &f) {
MFEM_VERIFY(
f.gravityFluxFes != nullptr, "GravityFieldOperator requires the gravity-gradient finite-element "
"space (RT: Raviart-Thomas)."
);
MFEM_VERIFY(
f.gravityPotentialFes != nullptr, "GravityFieldOperator requires the gravity-potential "
"finite-element "
"space (L2: Lebesgue "
"space of square-integrable functions)."
);
using DomainSchema = utils::domain::CoreEnvelopeVacuumDomainSchema;
return field::make_field_dof_map<field::Gravity, DomainSchema>(*f.gravityFluxFes).reduced_size() +
field::make_field_dof_map<field::Gravity, DomainSchema>(*f.gravityPotentialFes).reduced_size();
}
mfem::Array<int> make_gravity_residual_offsets(const fem::FEM &f) {
mfem::Array<int> offsets(utils::blocks::gravity_field_form::residual_block_count + 1);
offsets[0] = 0;
using DomainSchema = utils::domain::CoreEnvelopeVacuumDomainSchema;
offsets[1] = field::make_field_dof_map<field::Gravity, DomainSchema>(*f.gravityFluxFes).reduced_size();
offsets[2] =
offsets[1] + field::make_field_dof_map<field::Gravity, DomainSchema>(*f.gravityPotentialFes).reduced_size();
return offsets;
}
template <int index>
int get_state_block_size(
const mfem::Array<int> &state_offsets,
const utils::blocks::value_block<index>
) {
MFEM_VERIFY(index + 1 < state_offsets.Size(), "Value block is not present in the state offsets.");
return state_offsets[index + 1] - state_offsets[index];
}
void validate_state_offsets(
const fem::FEM &f,
const mfem::Array<int> &state_offsets
) {
MFEM_VERIFY(f.densityFes != nullptr, "GravityFieldOperator requires the density finite-element space.");
MFEM_VERIFY(
f.displacementFes != nullptr, "GravityFieldOperator requires the "
"displacement finite-element space."
);
using form = utils::blocks::gravity_field_form;
constexpr auto density_block = utils::blocks::get_value_block<form>(utils::blocks::density_field.mass_term);
constexpr auto displacement_block =
utils::blocks::get_value_block<form>(utils::blocks::displacement_field.geometry_term);
constexpr auto gravity_gradient_block =
utils::blocks::get_value_block<form>(utils::blocks::gravity_field.gradient_term);
constexpr auto gravity_potential_block =
utils::blocks::get_value_block<form>(utils::blocks::gravity_field.poisson_term);
MFEM_VERIFY(
state_offsets.Size() == form::value_block_count + 1,
"The gravity state offsets do not match gravity_field_form."
);
using DomainSchema = utils::domain::CoreEnvelopeVacuumDomainSchema;
const auto density_map = field::make_field_dof_map<field::Density, DomainSchema>(*f.densityFes);
const auto displacement_map = field::make_field_dof_map<field::Displacement, DomainSchema>(*f.displacementFes);
const auto flux_map = field::make_field_dof_map<field::Gravity, DomainSchema>(*f.gravityFluxFes);
const auto potential_map = field::make_field_dof_map<field::Gravity, DomainSchema>(*f.gravityPotentialFes);
MFEM_VERIFY(
get_state_block_size(state_offsets, density_block) == density_map.reduced_size(),
"The density block does not match the density finite-element space."
);
MFEM_VERIFY(
get_state_block_size(state_offsets, displacement_block) == displacement_map.reduced_size(),
"The displacement block does not match the displacement "
"finite-element "
"space."
);
MFEM_VERIFY(
get_state_block_size(state_offsets, gravity_gradient_block) == flux_map.reduced_size(),
"The gravity-gradient block does not match the RT finite-element "
"space."
);
MFEM_VERIFY(
get_state_block_size(state_offsets, gravity_potential_block) == potential_map.reduced_size(),
"The gravity-potential block does not match the potential "
"finite-element space."
);
}
void validate_gravity_context(const fem::FEM &f) {
MFEM_VERIFY(f.quadratureFactory != nullptr, "GravityFieldOperator requires the quadrature-rule factory.");
}
[[nodiscard]] std::unique_ptr<mfem::HypreParMatrix> make_gravity_schur_preconditioner(
const fem::FEM &f,
const mfem::Vector &mass_diagonal
) {
MFEM_VERIFY(
mass_diagonal.Size() == f.gravityFluxFes->GetTrueVSize(),
"The gravity Schur preconditioner requires a full "
"gravity-gradient mass diagonal."
);
mfem::Vector inverse_mass_diagonal(mass_diagonal);
for (int i = 0; i < inverse_mass_diagonal.Size(); ++i) {
MFEM_VERIFY(
std::isfinite(inverse_mass_diagonal(i)) && inverse_mass_diagonal(i) > 0.0,
"The gravity Schur preconditioner encountered a non-positive "
"or non-finite mass diagonal."
);
inverse_mass_diagonal(i) = 1.0 / inverse_mass_diagonal(i);
}
mfem::ParMixedBilinearForm divergence(f.gravityFluxFes.get(), f.gravityPotentialFes.get());
auto integrator = std::make_unique<mfem::VectorFEDivergenceIntegrator>();
const mfem::FiniteElement &trial_element = *f.gravityFluxFes->GetTypicalFE();
const mfem::FiniteElement &test_element = *f.gravityPotentialFes->GetTypicalFE();
const mfem::ElementTransformation &transformation = *f.mesh->GetElementTransformation(0);
f.quadratureFactory->configure_gravity_divergence(
*integrator, quadrature::QuadratureRole::preconditioner, trial_element, test_element, transformation,
utils::DOMAINS::ALL, quadrature::MappingKind::none
);
divergence.AddDomainIntegrator(integrator.release());
divergence.Assemble();
divergence.Finalize();
std::unique_ptr<mfem::HypreParMatrix> divergence_matrix(divergence.ParallelAssemble());
std::unique_ptr<mfem::HypreParMatrix> inverse_mass_divergence_transpose(divergence_matrix->Transpose());
inverse_mass_divergence_transpose->ScaleRows(inverse_mass_diagonal);
return std::unique_ptr<mfem::HypreParMatrix>(
mfem::ParMult(divergence_matrix.get(), inverse_mass_divergence_transpose.get())
);
}
template <int index>
mfem::Vector make_read_only_value_view(
const mfem::Vector &vector,
const mfem::Array<int> &offsets,
const utils::blocks::value_block<index>
) {
MFEM_VERIFY(index + 1 < offsets.Size(), "Value block is not present in the supplied offset array.");
const int begin = offsets[index];
const int size = offsets[index + 1] - begin;
MFEM_VERIFY(vector.Size() == offsets.Last(), "Vector size does not match the value-block offsets.");
return mfem::Vector(const_cast<mfem::real_t *>(vector.GetData()) + begin, size);
}
template <int index>
mfem::Vector make_read_only_residual_view(
const mfem::Vector &vector,
const mfem::Array<int> &offsets,
const utils::blocks::residual_block<index> block
) {
const int block_id = block;
const int begin = offsets[block_id];
const int size = offsets[block_id + 1] - begin;
MFEM_VERIFY(vector.Size() == offsets.Last(), "The vector does not match the residual-block layout.");
mfem::Vector view;
view.MakeRef(const_cast<mfem::Vector &>(vector), begin, size);
return view;
}
template <int index>
mfem::Vector make_residual_view(
mfem::Vector &vector,
const mfem::Array<int> &offsets,
const utils::blocks::residual_block<index>
) {
MFEM_VERIFY(index + 1 < offsets.Size(), "Residual block is not present in the supplied offset array.");
const int begin = offsets[index];
const int size = offsets[index + 1] - begin;
MFEM_VERIFY(vector.Size() == offsets.Last(), "Vector size does not match the residual-block offsets.");
return mfem::Vector(vector.GetData() + begin, size);
}
} // namespace
namespace mean_field::operators {
GravityFieldOperator::GravityFieldOperator(
fem::FEM &f,
const mapping::DomainMapper &domain_mapper,
context::gravity_field::GravityFieldLinearizationContext &linearization_context,
const mfem::Array<int> &state_offsets,
GravityFieldJacobianOperator &jacobian
)
: Operator(
get_gravity_residual_height(f),
get_state_width(state_offsets)
),
m_fem(f),
m_domain_mapper(domain_mapper),
m_linearization_context(linearization_context),
m_state_offsets(state_offsets),
m_residual_offsets(make_gravity_residual_offsets(f)),
m_jacobian(jacobian) {
MFEM_VERIFY(f.mesh != nullptr, "GravityFieldOperator requires a mesh.");
MFEM_VERIFY(
f.displacementFes != nullptr, "GravityFieldOperator requires the "
"displacement finite-element space."
);
MFEM_VERIFY(
f.smesh.exterior_coordinate != nullptr, "GravityFieldOperator requires the STROID exterior coordinate."
);
MFEM_VERIFY(
f.smesh.exterior_coordinate->space != nullptr, "GravityFieldOperator requires the exterior-coordinate "
"finite-element "
"space."
);
MFEM_VERIFY(
f.smesh.exterior_coordinate->values != nullptr,
"GravityFieldOperator requires the exterior-coordinate values."
);
MFEM_VERIFY(
domain_mapper.GetDimension() == f.mesh->Dimension(),
"GravityFieldOperator received a domain mapper with the wrong "
"dimension."
);
validate_state_offsets(f, m_state_offsets);
validate_gravity_context(f);
bool has_vacuum_domain = false;
for (int i = 0; i < f.mesh->attributes.Size(); ++i) {
if (DomainSchema::template attribute_belongs_to<utils::domain::Vacuum>(f.mesh->attributes[i])) {
has_vacuum_domain = true;
break;
}
}
MFEM_VERIFY(has_vacuum_domain, "GravityFieldOperator requires a compactified vacuum domain.");
MFEM_VERIFY(
m_residual_offsets.Last() == Height(), "The gravity residual offsets do not match the operator height."
);
MFEM_VERIFY(m_state_offsets.Last() == Width(), "The coupled state offsets do not match the operator width.");
}
context::gravity_field::GravityFieldPreparationReport GravityFieldOperator::Prepare(
const mfem::Vector &state,
const context::gravity_field::GravityFieldRevisions &revisions
) {
using form = utils::blocks::gravity_field_form;
constexpr auto density_block = utils::blocks::get_value_block<form>(utils::blocks::density_field.mass_term);
constexpr auto displacement_block =
utils::blocks::get_value_block<form>(utils::blocks::displacement_field.geometry_term);
constexpr auto gravity_gradient_block =
utils::blocks::get_value_block<form>(utils::blocks::gravity_field.gradient_term);
constexpr auto gravity_potential_block =
utils::blocks::get_value_block<form>(utils::blocks::gravity_field.poisson_term);
MFEM_VERIFY(
state.Size() == Width(), "GravityFieldOperator received a "
"preparation state with the wrong size."
);
const mfem::Vector density = make_read_only_value_view(state, m_state_offsets, density_block);
const mfem::Vector displacement = make_read_only_value_view(state, m_state_offsets, displacement_block);
const mfem::Vector gravity_gradient = make_read_only_value_view(state, m_state_offsets, gravity_gradient_block);
const mfem::Vector gravity_potential =
make_read_only_value_view(state, m_state_offsets, gravity_potential_block);
return m_linearization_context.Prepare(
{.density = density,
.displacement = displacement,
.gravity_gradient = gravity_gradient,
.gravity_potential = gravity_potential},
revisions
);
}
const mfem::Array<int> &GravityFieldOperator::GetStateOffsets() const noexcept {
return m_state_offsets;
}
const mfem::Array<int> &GravityFieldOperator::GetResidualOffsets() const noexcept {
return m_residual_offsets;
}
void GravityFieldOperator::ApplyGravityUnknowns(
const mfem::Vector &gravity_gradient,
const mfem::Vector &gravity_potential,
const context::gravity_field::GravityFieldGeometryContext &geometry_context,
mfem::Vector &action
) const {
using form = utils::blocks::gravity_field_form;
constexpr auto gravity_gradient_residual_block =
utils::blocks::get_residual_block<form>(utils::blocks::gravity_field.gradient_term);
constexpr auto gravity_poisson_residual_block =
utils::blocks::get_residual_block<form>(utils::blocks::gravity_field.poisson_term);
MFEM_VERIFY(geometry_context.IsPrepared(), "GravityFieldOperator received an unprepared geometry context.");
MFEM_VERIFY(
gravity_gradient.Size() == geometry_context.GetMassOperator().GetFluxMap().reduced_size(),
"GravityFieldOperator received a gravity-gradient vector with the "
"wrong size."
);
MFEM_VERIFY(
gravity_potential.Size() == geometry_context.GetSourceOperator().GetPotentialMap().reduced_size(),
"GravityFieldOperator received a gravity-potential vector with the "
"wrong size."
);
action.SetSize(Height());
action = 0.0;
mfem::Vector gravity_gradient_action =
make_residual_view(action, m_residual_offsets, gravity_gradient_residual_block);
mfem::Vector gravity_poisson_action =
make_residual_view(action, m_residual_offsets, gravity_poisson_residual_block);
const field::FieldDofMap &flux_map = geometry_context.GetMassOperator().GetFluxMap();
const field::FieldDofMap &potential_map = geometry_context.GetSourceOperator().GetPotentialMap();
mfem::Vector potential_true(potential_map.full_size());
mfem::Vector transpose_divergence_action_true(flux_map.full_size());
mfem::Vector transpose_divergence_action(flux_map.reduced_size());
mfem::Vector gradient_true(flux_map.full_size());
mfem::Vector divergence_action_true(potential_map.full_size());
geometry_context.GetMassOperator().Mult(gravity_gradient, gravity_gradient_action);
potential_map.scatter(gravity_potential, potential_true);
geometry_context.GetTransposeDivergenceOperator().Mult(potential_true, transpose_divergence_action_true);
flux_map.gather(transpose_divergence_action_true, transpose_divergence_action);
gravity_gradient_action += transpose_divergence_action;
flux_map.scatter(gravity_gradient, gradient_true);
geometry_context.GetDivergenceOperator().Mult(gradient_true, divergence_action_true);
potential_map.gather(divergence_action_true, gravity_poisson_action);
}
void GravityFieldOperator::ApplyDensitySource(
const mfem::Vector &density,
const context::gravity_field::GravityFieldGeometryContext &geometry_context,
mfem::Vector &action
) const {
using form = utils::blocks::gravity_field_form;
constexpr auto gravity_poisson_residual_block =
utils::blocks::get_residual_block<form>(utils::blocks::gravity_field.poisson_term);
MFEM_VERIFY(geometry_context.IsPrepared(), "GravityFieldOperator received an unprepared geometry context.");
MFEM_VERIFY(
density.Size() == geometry_context.GetSourceOperator().GetDensityMap().reduced_size(),
"GravityFieldOperator received a density vector with the wrong "
"size."
);
action.SetSize(Height());
action = 0.0;
mfem::Vector gravity_poisson_action =
make_residual_view(action, m_residual_offsets, gravity_poisson_residual_block);
geometry_context.GetSourceOperator().Mult(density, gravity_poisson_action);
}
void GravityFieldOperator::Mult(
const mfem::Vector &state,
mfem::Vector &residual
) const {
MEAN_FIELD_PROFILE_SCOPE("GravityFieldOperator::Mult");
using form = utils::blocks::gravity_field_form;
constexpr auto density_block = utils::blocks::get_value_block<form>(utils::blocks::density_field.mass_term);
constexpr auto gravity_gradient_block =
utils::blocks::get_value_block<form>(utils::blocks::gravity_field.gradient_term);
constexpr auto gravity_potential_block =
utils::blocks::get_value_block<form>(utils::blocks::gravity_field.poisson_term);
MFEM_VERIFY(state.Size() == Width(), "GravityFieldOperator received a state with the wrong size.");
MFEM_VERIFY(
m_linearization_context.IsPrepared(), "GravityFieldOperator must be prepared before Mult is called."
);
const mfem::Vector density = make_read_only_value_view(state, m_state_offsets, density_block);
const mfem::Vector gravity_gradient = make_read_only_value_view(state, m_state_offsets, gravity_gradient_block);
const mfem::Vector gravity_potential =
make_read_only_value_view(state, m_state_offsets, gravity_potential_block);
const context::gravity_field::GravityFieldGeometryContext &geometry_context =
m_linearization_context.GetGeometryContext();
mfem::Vector source;
ApplyGravityUnknowns(gravity_gradient, gravity_potential, geometry_context, residual);
ApplyDensitySource(density, geometry_context, source);
residual -= source;
}
context::gravity_field::GravityFieldLinearizationContext &GravityFieldOperator::GetLinearizationContext() noexcept {
return m_linearization_context;
}
const context::gravity_field::GravityFieldLinearizationContext &
GravityFieldOperator::GetLinearizationContext() const noexcept {
return m_linearization_context;
}
mfem::Operator &GravityFieldOperator::GetGradient(const mfem::Vector &state) const {
MFEM_VERIFY(
state.Size() == Width(), "GravityFieldOperator received a "
"linearization state with the wrong size."
);
MFEM_VERIFY(
m_linearization_context.IsPrepared(), "GravityFieldOperator must be prepared before GetGradient is "
"called."
);
return m_jacobian;
}
ReducedGravityFieldOperator::ReducedGravityFieldOperator(
GravityFieldOperator &gravity_field_operator,
context::gravity_field::GravityFieldGeometryContext &gravity_field_geometry_context,
const mfem::Vector &displacement
)
: Operator(
gravity_field_operator.Height(),
gravity_field_operator.Height()
),
m_gravity_field_operator(gravity_field_operator),
m_gravity_offsets(gravity_field_operator.GetResidualOffsets()),
m_gravity_field_geometry_context(gravity_field_geometry_context) {
using form = utils::blocks::gravity_field_form;
constexpr auto gravity_gradient_block =
utils::blocks::get_value_block<form>(utils::blocks::gravity_field.gradient_term);
constexpr auto gravity_potential_block =
utils::blocks::get_value_block<form>(utils::blocks::gravity_field.poisson_term);
constexpr auto gravity_gradient_residual_block =
utils::blocks::get_residual_block<form>(utils::blocks::gravity_field.gradient_term);
constexpr auto gravity_poisson_residual_block =
utils::blocks::get_residual_block<form>(utils::blocks::gravity_field.poisson_term);
const mfem::Array<int> &state_offsets = m_gravity_field_operator.GetStateOffsets();
MFEM_VERIFY(
state_offsets.Size() == form::value_block_count + 1,
"ReducedGravityFieldOperator received an invalid coupled-state layout."
);
MFEM_VERIFY(
m_gravity_offsets.Size() == form::residual_block_count + 1,
"ReducedGravityFieldOperator received an invalid gravity-residual "
"layout."
);
MFEM_VERIFY(state_offsets[0] == 0, "The coupled-state offsets must begin at zero.");
MFEM_VERIFY(m_gravity_offsets[0] == 0, "The reduced gravity offsets must begin at zero.");
MFEM_VERIFY(
state_offsets.Last() == m_gravity_field_operator.Width(),
"The coupled-state offsets do not match the gravity-field operator "
"width."
);
MFEM_VERIFY(
m_gravity_offsets.Last() == m_gravity_field_operator.Height(),
"The reduced gravity offsets do not match the gravity-field "
"operator "
"height."
);
MFEM_VERIFY(Width() == Height(), "ReducedGravityFieldOperator must be square.");
const int state_gradient_size =
state_offsets[static_cast<int>(gravity_gradient_block) + 1] - state_offsets[gravity_gradient_block];
const int state_potential_size =
state_offsets[static_cast<int>(gravity_potential_block) + 1] - state_offsets[gravity_potential_block];
const int gravity_gradient_size = m_gravity_offsets[static_cast<int>(gravity_gradient_residual_block) + 1] -
m_gravity_offsets[gravity_gradient_residual_block];
const int gravity_potential_size = m_gravity_offsets[static_cast<int>(gravity_poisson_residual_block) + 1] -
m_gravity_offsets[gravity_poisson_residual_block];
MFEM_VERIFY(
state_gradient_size == gravity_gradient_size, "The gravity-gradient block does not match the coupled-state "
"gravity-gradient block."
);
MFEM_VERIFY(
state_potential_size == gravity_potential_size, "The gravity-potential block does not match the Poisson "
"residual block."
);
SetDisplacement(displacement);
}
void ReducedGravityFieldOperator::SetDisplacement(const mfem::Vector &displacement) {
ValidateDisplacement(displacement);
context::gravity_field::DiscretizationRevision discretization_revision;
context::gravity_field::DisplacementRevision displacement_revision;
if (m_gravity_field_geometry_context.IsPrepared()) {
discretization_revision = m_gravity_field_geometry_context.GetDiscretizationRevision();
displacement_revision = m_gravity_field_geometry_context.GetDisplacementRevision();
MFEM_VERIFY(
displacement_revision.value < std::numeric_limits<std::uint64_t>::max(),
"The reduced gravity displacement revision has overflowed."
);
++displacement_revision.value;
}
m_gravity_field_geometry_context.Prepare(displacement, discretization_revision, displacement_revision);
m_displacement = displacement;
}
const mfem::Vector &ReducedGravityFieldOperator::GetDisplacement() const {
return m_displacement;
}
void ReducedGravityFieldOperator::BuildRightHandSide(
const mfem::Vector &density,
mfem::Vector &right_hand_side
) const {
ValidateDensity(density);
m_gravity_field_operator.ApplyDensitySource(density, m_gravity_field_geometry_context, right_hand_side);
MFEM_VERIFY(
right_hand_side.Size() == Height(), "ReducedGravityFieldOperator produced a right-hand side with the "
"wrong "
"size."
);
}
void ReducedGravityFieldOperator::Mult(
const mfem::Vector &gravity_state,
mfem::Vector &action
) const {
MEAN_FIELD_PROFILE_SCOPE("ReducedGravityFieldOperator::Mult");
using form = utils::blocks::gravity_field_form;
constexpr auto gravity_gradient_residual_block =
utils::blocks::get_residual_block<form>(utils::blocks::gravity_field.gradient_term);
constexpr auto gravity_poisson_residual_block =
utils::blocks::get_residual_block<form>(utils::blocks::gravity_field.poisson_term);
ValidateGravityState(gravity_state);
const mfem::Vector gravity_gradient =
make_read_only_residual_view(gravity_state, m_gravity_offsets, gravity_gradient_residual_block);
const mfem::Vector gravity_potential =
make_read_only_residual_view(gravity_state, m_gravity_offsets, gravity_poisson_residual_block);
m_gravity_field_operator.ApplyGravityUnknowns(
gravity_gradient, gravity_potential, m_gravity_field_geometry_context, action
);
MFEM_VERIFY(
action.Size() == Height(), "ReducedGravityFieldOperator produced "
"an action with the wrong size."
);
}
GravityFieldOperator &ReducedGravityFieldOperator::GetGravityFieldOperator() noexcept {
return m_gravity_field_operator;
}
const GravityFieldOperator &ReducedGravityFieldOperator::GetGravityFieldOperator() const noexcept {
return m_gravity_field_operator;
}
context::gravity_field::GravityFieldGeometryContext &ReducedGravityFieldOperator::GetGeometryContext() noexcept {
return m_gravity_field_geometry_context;
}
const context::gravity_field::GravityFieldGeometryContext &
ReducedGravityFieldOperator::GetGeometryContext() const noexcept {
return m_gravity_field_geometry_context;
}
const mfem::Array<int> &ReducedGravityFieldOperator::GetGravityOffsets() const noexcept {
return m_gravity_offsets;
}
void ReducedGravityFieldOperator::ValidateDisplacement(const mfem::Vector &displacement) const {
using form = utils::blocks::gravity_field_form;
constexpr auto displacement_block =
utils::blocks::get_value_block<form>(utils::blocks::displacement_field.geometry_term);
const mfem::Array<int> &state_offsets = m_gravity_field_operator.GetStateOffsets();
const int expected_size =
state_offsets[static_cast<int>(displacement_block) + 1] - state_offsets[displacement_block];
MFEM_VERIFY(
displacement.Size() == expected_size, "ReducedGravityFieldOperator received a displacement with the "
"wrong "
"size."
);
for (int i = 0; i < displacement.Size(); ++i) {
MFEM_VERIFY(
std::isfinite(displacement(i)), "ReducedGravityFieldOperator received a non-finite "
"displacement "
"value."
);
}
}
void ReducedGravityFieldOperator::ValidateDensity(const mfem::Vector &density) const {
using form = utils::blocks::gravity_field_form;
constexpr auto density_block = utils::blocks::get_value_block<form>(utils::blocks::density_field.mass_term);
const mfem::Array<int> &state_offsets = m_gravity_field_operator.GetStateOffsets();
const int expected_size = state_offsets[static_cast<int>(density_block) + 1] - state_offsets[density_block];
MFEM_VERIFY(
density.Size() == expected_size, "ReducedGravityFieldOperator received a density with the wrong "
"size."
);
}
void ReducedGravityFieldOperator::ValidateGravityState(const mfem::Vector &gravity_state) const {
MFEM_VERIFY(
gravity_state.Size() == Width(), "ReducedGravityFieldOperator received "
"a gravity state with the wrong size."
);
}
ReducedGravityFieldPreconditioner::ReducedGravityFieldPreconditioner(
const fem::FEM &f,
const context::gravity_field::GravityFieldGeometryContext &geometry_context
)
: Solver(
geometry_context.GetMassOperator().GetFluxMap().reduced_size() +
geometry_context.GetSourceOperator().GetPotentialMap().reduced_size()
),
m_flux_map(geometry_context.GetMassOperator().GetFluxMap()),
m_potential_map(geometry_context.GetSourceOperator().GetPotentialMap()),
m_offsets(3) {
MFEM_VERIFY(geometry_context.IsPrepared(), "The reduced gravity preconditioner requires prepared geometry.");
MFEM_VERIFY(f.mesh != nullptr, "The reduced gravity preconditioner requires a parallel mesh.");
MFEM_VERIFY(
f.gravityFluxFes != nullptr && f.gravityPotentialFes != nullptr,
"The reduced gravity preconditioner requires both gravity "
"finite-element spaces."
);
MFEM_VERIFY(
f.quadratureFactory != nullptr, "The reduced gravity preconditioner requires the quadrature-rule "
"factory."
);
m_offsets[0] = 0;
m_offsets[1] = m_flux_map.reduced_size();
m_offsets[2] = m_offsets[1] + m_potential_map.reduced_size();
MFEM_VERIFY(m_offsets.Last() == Height(), "The reduced gravity preconditioner has inconsistent offsets.");
mfem::Vector reduced_mass_diagonal;
geometry_context.GetMassOperator().AssembleDiagonal(reduced_mass_diagonal);
m_mass_preconditioner = std::make_unique<mfem::OperatorJacobiSmoother>(reduced_mass_diagonal, m_empty_tdofs);
mfem::Vector true_mass_diagonal;
geometry_context.GetMassOperator().AssembleTrueDiagonal(true_mass_diagonal);
m_schur = make_gravity_schur_preconditioner(f, true_mass_diagonal);
m_potential_preconditioner = std::make_unique<mfem::HypreBoomerAMG>();
m_potential_preconditioner->SetPrintLevel(0);
m_potential_preconditioner->SetOperator(*m_schur);
}
void ReducedGravityFieldPreconditioner::SetOperator(const mfem::Operator &gravity_operator) {
MFEM_VERIFY(
gravity_operator.Width() == Width() && gravity_operator.Height() == Height(),
"The reduced gravity preconditioner received an operator with "
"incompatible dimensions."
);
}
void ReducedGravityFieldPreconditioner::Mult(
const mfem::Vector &right_hand_side,
mfem::Vector &action
) const {
MFEM_VERIFY(
right_hand_side.Size() == Width(), "The reduced gravity preconditioner received a right-hand side "
"with the wrong size."
);
mfem::Vector gradient_rhs;
gradient_rhs.MakeRef(const_cast<mfem::Vector &>(right_hand_side), m_offsets[0], m_offsets[1] - m_offsets[0]);
mfem::Vector potential_rhs;
potential_rhs.MakeRef(const_cast<mfem::Vector &>(right_hand_side), m_offsets[1], m_offsets[2] - m_offsets[1]);
action.SetSize(Height());
mfem::Vector gradient_action;
gradient_action.MakeRef(action, m_offsets[0], m_offsets[1] - m_offsets[0]);
mfem::Vector potential_action;
potential_action.MakeRef(action, m_offsets[1], m_offsets[2] - m_offsets[1]);
m_mass_preconditioner->Mult(gradient_rhs, gradient_action);
m_potential_rhs_true.SetSize(m_potential_map.full_size());
m_potential_action_true.SetSize(m_potential_map.full_size());
m_potential_map.scatter(potential_rhs, m_potential_rhs_true);
m_potential_preconditioner->Mult(m_potential_rhs_true, m_potential_action_true);
m_potential_map.gather(m_potential_action_true, potential_action);
}
const mfem::Array<int> &ReducedGravityFieldPreconditioner::GetOffsets() const noexcept {
return m_offsets;
}
} // namespace mean_field::operators