evolution::dg::subcell::fd Namespace Reference

Code specific to a conservative finite difference subcell limiter. More...

Namespaces
namespace	Actions
	Actions specific to using a finite-difference subcell method.
namespace	Tags
	Tags for the DG-subcell finite difference solver

Classes
struct	CellCenteredFlux
	Mutator that wraps the system's FluxMutator to correctly set the cell-centered fluxes on the subcell grid. More...

Enumerations
enum class	ReconstructionMethod { DimByDim , AllDimsAtOnce }
	The reconstruction method to use. More...

Functions
const Matrix &	projection_matrix (const Mesh< 1 > &dg_mesh, size_t subcell_extents, const Spectral::Quadrature &subcell_quadrature)
	Computes the projection matrix in 1 dimension going from a DG mesh to a conservative finite difference subcell mesh.
template<size_t Dim>
const Matrix &	reconstruction_matrix (const Mesh< Dim > &dg_mesh, const Index< Dim > &subcell_extents)
	Computes the matrix needed for reconstructing the DG solution from the subcell solution. More...
const Matrix &	projection_matrix (const Mesh< 1 > &dg_mesh, size_t subcell_extents, size_t ghost_zone_size, Side side)
	Computes the projection matrix in 1 dimension going from a DG mesh to a conservative finite difference subcell mesh for only the ghost zones. More...
template<size_t Dim>
Mesh< Dim >	mesh (const Mesh< Dim > &dg_mesh)
	Computes the cell-centered finite-difference mesh from the DG mesh, using $2N-1$ grid points per dimension, where $N$ is the degree of the DG basis.
template<size_t Dim>
Mesh< Dim >	dg_mesh (const Mesh< Dim > &subcell_mesh, Spectral::Basis basis, Spectral::Quadrature quadrature)
	Computes the DG mesh from the cell-centered finite-difference mesh.
std::ostream &	operator<< (std::ostream &os, ReconstructionMethod recons_method)
template<size_t Dim>
void	ghost_zone_logical_coordinates (const gsl::not_null< tnsr::I< DataVector, Dim, Frame::ElementLogical > * > ghost_logical_coords, const Mesh< Dim > &subcell_mesh, const size_t ghost_zone_size, const Direction< Dim > &direction)
	Computes the logical coordinates of ghost grid points for a given direction and ghost zone size. More...
template<size_t Dim>
tnsr::I< DataVector, Dim, Frame::ElementLogical >	ghost_zone_logical_coordinates (const Mesh< Dim > &subcell_mesh, const size_t ghost_zone_size, const Direction< Dim > &direction)
	Computes the logical coordinates of ghost grid points for a given direction and ghost zone size. More...
template<size_t Dim>
DataVector	project (const DataVector &dg_u, const Mesh< Dim > &dg_mesh, const Index< Dim > &subcell_extents)
	Project the variable dg_u onto the subcell grid with extents subcell_extents. More...
template<size_t Dim>
void	project (gsl::not_null< DataVector * > subcell_u, const DataVector &dg_u, const Mesh< Dim > &dg_mesh, const Index< Dim > &subcell_extents)
	Project the variable dg_u onto the subcell grid with extents subcell_extents. More...
template<typename SubcellTagList , typename DgTagList , size_t Dim>
void	project (const gsl::not_null< Variables< SubcellTagList > * > subcell_u, const Variables< DgTagList > &dg_u, const Mesh< Dim > &dg_mesh, const Index< Dim > &subcell_extents)
	Project the variable dg_u onto the subcell grid with extents subcell_extents. More...
template<typename TagList , size_t Dim>
Variables< TagList >	project (const Variables< TagList > &dg_u, const Mesh< Dim > &dg_mesh, const Index< Dim > &subcell_extents)
	Project the variable dg_u onto the subcell grid with extents subcell_extents. More...
template<size_t Dim>
DataVector	project_to_faces (const DataVector &dg_u, const Mesh< Dim > &dg_mesh, const Index< Dim > &subcell_extents, const size_t &face_direction)
	Project the variable dg_u onto the subcell grid with extents subcell_extents. More...
template<size_t Dim>
void	project_to_faces (gsl::not_null< DataVector * > subcell_u, const DataVector &dg_u, const Mesh< Dim > &dg_mesh, const Index< Dim > &subcell_extents, const size_t &face_direction)
	Project the variable dg_u onto the subcell grid with extents subcell_extents. More...
template<typename SubcellTagList , typename DgTagList , size_t Dim>
void	project_to_faces (const gsl::not_null< Variables< SubcellTagList > * > subcell_u, const Variables< DgTagList > &dg_u, const Mesh< Dim > &dg_mesh, const Index< Dim > &subcell_extents, const size_t &face_direction)
	Project the variable dg_u onto the subcell grid with extents subcell_extents. More...
template<typename TagList , size_t Dim>
Variables< TagList >	project_to_faces (const Variables< TagList > &dg_u, const Mesh< Dim > &dg_mesh, const Index< Dim > &subcell_extents, const size_t &face_direction)
	Project the variable dg_u onto the subcell grid with extents subcell_extents. More...
template<size_t Dim>
DataVector	reconstruct (const DataVector &subcell_u_times_projected_det_jac, const Mesh< Dim > &dg_mesh, const Index< Dim > &subcell_extents, ReconstructionMethod reconstruction_method)
	reconstruct the variable subcell_u_times_projected_det_jac onto the DG grid dg_mesh. More...
template<size_t Dim>
void	reconstruct (gsl::not_null< DataVector * > dg_u, const DataVector &subcell_u_times_projected_det_jac, const Mesh< Dim > &dg_mesh, const Index< Dim > &subcell_extents, ReconstructionMethod reconstruction_method)
	reconstruct the variable subcell_u_times_projected_det_jac onto the DG grid dg_mesh. More...
template<typename SubcellTagList , typename DgTagList , size_t Dim>
void	reconstruct (const gsl::not_null< Variables< DgTagList > * > dg_u, const Variables< SubcellTagList > &subcell_u, const Mesh< Dim > &dg_mesh, const Index< Dim > &subcell_extents, const ReconstructionMethod reconstruction_method)
	reconstruct the variable subcell_u_times_projected_det_jac onto the DG grid dg_mesh. More...
template<typename TagList , size_t Dim>
Variables< TagList >	reconstruct (const Variables< TagList > &subcell_u, const Mesh< Dim > &dg_mesh, const Index< Dim > &subcell_extents, const ReconstructionMethod reconstruction_method)
	reconstruct the variable subcell_u_times_projected_det_jac onto the DG grid dg_mesh. More...

Detailed Description

Code specific to a conservative finite difference subcell limiter.

Enumeration Type Documentation

ReconstructionMethod

enum class evolution::dg::subcell::fd::ReconstructionMethod

strong

The reconstruction method to use.

Enumerator
DimByDim	Dimension-by-dimension reconstruction assuming a tensor-product basis.
AllDimsAtOnce	Reconstruct all dimensions at once.

Function Documentation

ghost_zone_logical_coordinates() [1/2]

template<size_t Dim>

void evolution::dg::subcell::fd::ghost_zone_logical_coordinates	(	const gsl::not_null< tnsr::I< DataVector, Dim, Frame::ElementLogical > * >	ghost_logical_coords,
		const Mesh< Dim > &	subcell_mesh,
		const size_t	ghost_zone_size,
		const Direction< Dim > &	direction
	)

Computes the logical coordinates of ghost grid points for a given direction and ghost zone size.

Let d be the axis dimension of the direction. The returned coordinate has extents that is same as the volume mesh extents but [d]-th value replaced by the ghost zone size.

For instance if the (volume) subcell mesh has extents $(6,6,6)$, ghost zone size is 2, and the direction is along Xi axis, the resulting coordinates computed by this function has extents $(2,6,6)$.

ghost_zone_logical_coordinates() [2/2]

template<size_t Dim>

tnsr::I< DataVector, Dim, Frame::ElementLogical > evolution::dg::subcell::fd::ghost_zone_logical_coordinates	(	const Mesh< Dim > &	subcell_mesh,
		const size_t	ghost_zone_size,
		const Direction< Dim > &	direction
	)

Computes the logical coordinates of ghost grid points for a given direction and ghost zone size.

Let d be the axis dimension of the direction. The returned coordinate has extents that is same as the volume mesh extents but [d]-th value replaced by the ghost zone size.

For instance if the (volume) subcell mesh has extents $(6,6,6)$, ghost zone size is 2, and the direction is along Xi axis, the resulting coordinates computed by this function has extents $(2,6,6)$.