Ccz4::fd Namespace Reference

The namespace for evolving the second-order Ccz4 system. Spatial derivatives are computed using 4-th order finite differencing. Currently this system only works in 3D. More...

Namespaces
namespace	OptionTags
	Option tags for evolving SoCcz4 with finite difference.
namespace	Tags
	Tags for evolving SoCcz4 with finite difference.

Classes
struct	ApplyFilter
	Apply the Kreiss-Oliger filter to the evolved variables. More...
struct	BoundaryConditionGhostData
	Computes finite difference ghost data for external boundary conditions. More...
class	DummyReconstructor
	Dummy reconstructor just to return the ghost zone size. More...
class	Reconstructor
	The base class from which all reconstruction schemes must inherit. More...
struct	SoTimeDerivative
	Compute the RHS of the second-order CCZ4 formulation of Einstein's equations [67] with finite differencing. More...
struct	System

Functions
void	spacetime_derivatives (gsl::not_null< Variables< db::wrap_tags_in<::Tags::deriv, typename System::gradients_tags, tmpl::size_t< 3 >, Frame::Inertial > > * > result, const Variables< typename System::variables_tag::tags_list > &volume_evolved_variables, const DirectionalIdMap< 3, evolution::dg::subcell::GhostData > &all_ghost_data, const size_t &deriv_order, const Mesh< 3 > &volume_mesh, const InverseJacobian< DataVector, 3, Frame::ElementLogical, Frame::Inertial > &cell_centered_logical_to_inertial_inv_jacobian)
	Compute first partial derivatives of all the evolved variables in the second order Ccz4 system. More...
void	second_spacetime_derivatives (gsl::not_null< Variables< db::wrap_tags_in<::Tags::second_deriv, System::gradients_tags, tmpl::size_t< 3 >, Frame::Inertial > > * > result, const Variables< typename System::variables_tag::tags_list > &volume_evolved_variables, const DirectionalIdMap< 3, evolution::dg::subcell::GhostData > &all_ghost_data, const size_t &deriv_order, const Mesh< 3 > &volume_mesh, const InverseJacobian< DataVector, 3, Frame::ElementLogical, Frame::Inertial > &cell_centered_logical_to_inertial_inv_jacobian)
	Compute second partial derivatives of all the evolved variables in the second order Ccz4 system. More...
void	ccz4_kreiss_oliger_filter (gsl::not_null< Variables< System::variables_tag_list > * > result, const Variables< System::variables_tag_list > &volume_evolved_variables, const DirectionalIdMap< 3, evolution::dg::subcell::GhostData > &all_ghost_data, bool evolve_lapse_and_shift, const Mesh< 3 > &volume_mesh, size_t order, double epsilon)
	Apply a Kreiss-Oliger filter to System::variables_tag_list.

Variables
const size_t	Dim = 3

Detailed Description

The namespace for evolving the second-order Ccz4 system. Spatial derivatives are computed using 4-th order finite differencing. Currently this system only works in 3D.

Function Documentation

second_spacetime_derivatives()

void Ccz4::fd::second_spacetime_derivatives	(	gsl::not_null< Variables< db::wrap_tags_in<::Tags::second_deriv, System::gradients_tags, tmpl::size_t< 3 >, Frame::Inertial > > * >	result,
		const Variables< typename System::variables_tag::tags_list > &	volume_evolved_variables,
		const DirectionalIdMap< 3, evolution::dg::subcell::GhostData > &	all_ghost_data,
		const size_t &	deriv_order,
		const Mesh< 3 > &	volume_mesh,
		const InverseJacobian< DataVector, 3, Frame::ElementLogical, Frame::Inertial > &	cell_centered_logical_to_inertial_inv_jacobian
	)

Compute second partial derivatives of all the evolved variables in the second order Ccz4 system.

Details

The derivatives are computed using FD of order deriv_order.

Note

Only 3D 4-th order second derivatives are implemented in this stencil

spacetime_derivatives()

void Ccz4::fd::spacetime_derivatives	(	gsl::not_null< Variables< db::wrap_tags_in<::Tags::deriv, typename System::gradients_tags, tmpl::size_t< 3 >, Frame::Inertial > > * >	result,
		const Variables< typename System::variables_tag::tags_list > &	volume_evolved_variables,
		const DirectionalIdMap< 3, evolution::dg::subcell::GhostData > &	all_ghost_data,
		const size_t &	deriv_order,
		const Mesh< 3 > &	volume_mesh,
		const InverseJacobian< DataVector, 3, Frame::ElementLogical, Frame::Inertial > &	cell_centered_logical_to_inertial_inv_jacobian
	)

Compute first partial derivatives of all the evolved variables in the second order Ccz4 system.

The derivatives are computed using FD of order deriv_order using stencil the same as fd::partial_derivatives().