Files
MeanField/libmeanfield/interface/mapping/domain_mapper.cppm

365 lines
12 KiB
C++

module;
#include "mean_field.h"
export module mean_field:mapping.domain_mapper;
export import :mapping.types;
import :mapping.compactification;
import :utils.user;
export namespace mean_field::mapping {
enum class FaceElementSide : uint8_t { element_1, element_2 };
class ElementDisplacementData {
public:
ElementDisplacementData(
const mfem::FiniteElement &element,
const mfem::Vector &displacement_dofs,
mfem::Ordering::Type ordering = mfem::Ordering::byNODES
);
[[nodiscard]] const mfem::FiniteElement &GetElement() const noexcept;
[[nodiscard]] const mfem::DenseMatrix &GetDofMatrix() const noexcept;
[[nodiscard]] int GetDimension() const noexcept;
[[nodiscard]] int GetDofCount() const noexcept;
[[nodiscard]] mfem::Ordering::Type GetOrdering() const noexcept;
private:
const mfem::FiniteElement *m_element;
mfem::DenseMatrix m_dof_matrix;
int m_dimension;
mfem::Ordering::Type m_ordering;
};
struct CompactificationPointData {
double coordinate{0.0};
mfem::Vector coordinate_gradient;
};
[[nodiscard]] ElementDisplacementData
ElementDisplacementDataFromElementVDofs(
const mfem::FiniteElement &element,
const mfem::Vector &displacement_dofs
);
class ElementCompactificationData {
public:
ElementCompactificationData(
const mfem::FiniteElement &element,
const mfem::Vector &dofs
);
[[nodiscard]] const mfem::FiniteElement &GetElement() const noexcept;
[[nodiscard]] const mfem::Vector &GetDofs() const noexcept;
[[nodiscard]] int GetDofCount() const noexcept;
private:
const mfem::FiniteElement *m_element;
mfem::Vector m_dofs;
};
struct ElementMappingData {
const ElementDisplacementData &displacement;
const ElementCompactificationData &compactification;
};
class DomainMapperStateless {
public:
class Workspace {
public:
explicit Workspace(int dimension = 3);
void SetDimension(int dimension);
[[nodiscard]] int GetDimension() const noexcept;
private:
friend class DomainMapperStateless;
int m_dimension;
mfem::Vector m_shape;
mfem::DenseMatrix m_mesh_dshape;
mfem::Vector m_field_value;
mfem::DenseMatrix m_field_jacobian;
mfem::Vector m_compactification_shape;
mfem::DenseMatrix m_compactification_dshape;
CompactificationPointData m_compactification_point;
mfem::Vector m_reference_normal;
mfem::Vector m_mapped_normal;
mfem::DenseMatrix m_full_element_jacobian;
mfem::Vector m_vector_temp;
mfem::DenseMatrix m_matrix_temp_1;
mfem::DenseMatrix m_matrix_temp_2;
compactification::ExteriorMapResult m_exterior_result;
compactification::ExteriorMapVariation m_exterior_variation;
};
public:
DomainMapperStateless(
utils::DomainMapperStatelessOptions options,
std::unique_ptr<const compactification::ExteriorDomainMap>
exterior_map
);
DomainMapperStateless(const DomainMapperStateless &) = delete;
DomainMapperStateless &
operator=(const DomainMapperStateless &) = delete;
DomainMapperStateless(DomainMapperStateless &&) = default;
DomainMapperStateless &operator=(DomainMapperStateless &&) = default;
[[nodiscard]] MappingStatus EvaluatePoint(
const ElementMappingData &element_data,
mfem::ElementTransformation &transformation,
const mfem::IntegrationPoint &integration_point,
Workspace &workspace,
MappingPointContext &context
) const;
[[nodiscard]] MappingStatus EvaluateVolume(
const ElementMappingData &element_data,
mfem::ElementTransformation &transformation,
const mfem::IntegrationPoint &integration_point,
Workspace &workspace,
VolumeMappingContext &context
) const;
[[nodiscard]] MappingStatus EvaluateFace(
const ElementMappingData &element_data,
mfem::FaceElementTransformations &transformation,
FaceElementSide side,
const mfem::IntegrationPoint &integration_point,
Workspace &workspace,
FaceMappingContext &context
) const;
[[nodiscard]] MappingStatus EvaluatePointVariation(
const ElementMappingData &element_data,
const ElementDisplacementData &direction,
mfem::ElementTransformation &transformation,
const mfem::IntegrationPoint &integration_point,
const MappingPointContext &base_context,
Workspace &workspace,
MappingPointVariation &variation
) const;
[[nodiscard]] MappingStatus EvaluateVolumeVariation(
const ElementMappingData &element_data,
const ElementDisplacementData &direction,
mfem::ElementTransformation &transformation,
const mfem::IntegrationPoint &integration_point,
const VolumeMappingContext &base_context,
Workspace &workspace,
VolumeMappingVariation &variation
) const;
[[nodiscard]] MappingStatus EvaluateFaceVariation(
const ElementMappingData &element_data,
const ElementDisplacementData &direction,
mfem::FaceElementTransformations &transformation,
FaceElementSide side,
const mfem::IntegrationPoint &integration_point,
const FaceMappingContext &base_context,
Workspace &workspace,
FaceMappingVariation &variation
) const;
[[nodiscard]] bool IsCompactifiedElement(
const mfem::ElementTransformation &transformation
) const noexcept;
[[nodiscard]] int GetDimension() const noexcept;
[[nodiscard]] int GetVacuumElementAttribute() const noexcept;
[[nodiscard]] const compactification::ExteriorDomainMap &
GetExteriorMap() const noexcept;
private:
void ValidateElementData(const ElementMappingData &element_data) const;
void EvaluateField(
const ElementDisplacementData &field,
mfem::ElementTransformation &transformation,
const mfem::IntegrationPoint &integration_point,
Workspace &workspace,
mfem::Vector &value,
mfem::DenseMatrix &jacobian
) const;
[[nodiscard]] MappingStatus EvaluateCompactificationCoordinate(
const ElementCompactificationData &compactification,
mfem::ElementTransformation &transformation,
const mfem::IntegrationPoint &integration_point,
Workspace &workspace,
CompactificationPointData &point_data
) const;
[[nodiscard]] static mfem::ElementTransformation &
SelectFaceElementTransformation(
mfem::FaceElementTransformations &transformation,
FaceElementSide side
);
[[nodiscard]] static const mfem::IntegrationPoint &
SelectFaceElementIntegrationPoint(
mfem::FaceElementTransformations &transformation,
FaceElementSide side
);
utils::DomainMapperStatelessOptions m_options;
std::unique_ptr<const compactification::ExteriorDomainMap>
m_exterior_map;
};
class DomainMapper {
public:
explicit DomainMapper(
const double r_star_ref,
const double r_inf_ref
);
explicit DomainMapper(
const mfem::GridFunction &d,
const double r_star_ref,
const double r_inf_ref
);
[[nodiscard]] bool
is_vacuum(const mfem::ElementTransformation &T) const;
void SetDisplacement(const mfem::GridFunction &d);
[[nodiscard]] bool HasCompactification() const noexcept;
[[nodiscard]] bool HasDisplacementField() const noexcept;
[[nodiscard]] bool CalcIsIdentity() const;
void ResetDisplacement();
void ComputeJacobian(
mfem::ElementTransformation &T,
mfem::DenseMatrix &J
) const;
double ComputeDetJ(
mfem::ElementTransformation &T,
const mfem::IntegrationPoint &ip
) const;
void ComputeMappedDiffusionTensor(
mfem::ElementTransformation &T,
mfem::DenseMatrix &D
) const;
void ComputeInverseJacobian(
mfem::ElementTransformation &T,
mfem::DenseMatrix &JInv
) const;
VolumeQuadratureContext GetQuadratureContext(
mfem::ElementTransformation &T,
const mfem::IntegrationPoint &ip
) const;
FaceQuadratureContext GetFaceQuadratureContext(
mfem::FaceElementTransformations &T,
const mfem::IntegrationPoint &ip
) const;
void GetPhysicalPoint(
mfem::ElementTransformation &T,
const mfem::IntegrationPoint &ip,
mfem::Vector &x_phys
) const;
void GetVectorValue(
const int i,
const mfem::IntegrationPoint &ip,
mfem::Vector &val
) const;
void MapHDivFluxToPhysical(
mfem::ElementTransformation &transformation,
const mfem::IntegrationPoint &integration_point,
const mfem::Vector &reference_flux,
mfem::Vector &physical_flux
) const;
void MapPhysicalFluxToHDivReference(
mfem::ElementTransformation &transformation,
const mfem::IntegrationPoint &integration_point,
const mfem::Vector &physical_flux,
mfem::Vector &reference_flux
) const;
void MapReferenceGradientToPhysical(
mfem::ElementTransformation &transformation,
const mfem::IntegrationPoint &integration_point,
const mfem::Vector &reference_gradient,
mfem::Vector &physical_gradient
) const;
[[nodiscard]] const mfem::GridFunction *GetDisplacement() const;
[[nodiscard]] double GetPhysInfRadius() const;
[[nodiscard]] size_t GetCacheHits() const;
[[nodiscard]] size_t GetCacheMisses() const;
[[nodiscard]] double GetCacheHitRate() const;
void ResetCacheStats() const;
private:
void InitAllScratchSpaces() const;
void ApplyKelvinMapping(
const mfem::Vector &x_ref,
mfem::Vector &x_phys
) const;
void ComputeKelvinJacobian(
const mfem::Vector &x_ref,
const mfem::Vector &x_disp,
const mfem::DenseMatrix &J_D,
mfem::DenseMatrix &J
) const;
void InvalidateCache() const;
void UpdateElementCache(const mfem::ElementTransformation &T) const;
private:
const mfem::GridFunction *m_d;
std::unique_ptr<mfem::GridFunction> m_internal_d;
const int m_dim{3};
const int m_vacuum_attr{3};
const double m_r_star_ref{1.0};
const double m_r_inf_ref{2.0};
const double m_xi_clamp{0.9999};
mutable int m_cached_elem_id{-1};
mutable int m_cached_elem_type{mfem::ElementTransformation::ELEMENT};
mutable const mfem::FiniteElement *m_fe{nullptr};
mutable mfem::Vector m_elem_dofs;
mutable mfem::DenseMatrix m_dof_mat;
mutable mfem::DenseMatrix m_dshape;
mutable mfem::Vector m_shape;
mutable size_t m_cache_hits{0};
mutable size_t m_cache_misses{0};
mutable mfem::DenseMatrix m_J_D;
mutable mfem::DenseMatrix m_J_temp;
mutable mfem::DenseMatrix m_JInv_temp;
mutable mfem::Vector m_x_ref;
mutable mfem::Vector m_x_disp;
mutable mfem::Vector m_d_val;
bool m_displacement_is_identity{true};
};
} // namespace mean_field::mapping