elliptic::dg::Actions Namespace Reference

Actions related to elliptic discontinuous Galerkin schemes. More...

Classes
struct	DgOperator
	Apply the DG operator to the PrimalFieldsTag and write the result to the OperatorAppliedToFieldsTag More...
struct	ImposeInhomogeneousBoundaryConditionsOnSource
	For linear systems, impose inhomogeneous boundary conditions as contributions to the fixed sources (i.e. the RHS of the equations). More...
struct	InitializeDomain
	Initialize items related to the basic structure of the element. More...

Typedefs
template<typename System, typename BackgroundTag = void>
using	initialize_operator
	Initialize geometric and background quantities for the elliptic DG operator.
template<typename System, typename BackgroundTag = void>
using	amr_projectors
	AMR projectors for the tags added by initialize_operator

Detailed Description

Actions related to elliptic discontinuous Galerkin schemes.

Typedef Documentation

amr_projectors

template<typename System, typename BackgroundTag = void>

using elliptic::dg::Actions::amr_projectors

Initial value:

 tmpl::append<
    tmpl::list<elliptic::dg::InitializeFacesAndMortars<
        System::volume_dim, typename System::inv_metric_tag, BackgroundTag>>,
    tmpl::conditional_t<
        std::is_same_v<typename System::background_fields, tmpl::list<>>,
        tmpl::list<>,
        tmpl::list<elliptic::dg::InitializeBackground<
            System::volume_dim, typename System::background_fields,
            BackgroundTag>>>>

AMR projectors for the tags added by initialize_operator

initialize_operator

template<typename System, typename BackgroundTag = void>

using elliptic::dg::Actions::initialize_operator

Initial value:

 tmpl::list<
    detail::InitializeFacesMortarsAndBackground<System, BackgroundTag>>

Initialize geometric and background quantities for the elliptic DG operator.

The geometric and background quantities are initialized together because the geometry depends on the background metric through the normalization of face normals. Other examples for background fields are curvature quantities associated with the background metric, or matter sources such as a mass-density in the XCTS equations. All System::background_fields are retrieved from the BackgroundTag together, to enable re-using cached temporary quantities in the computations. The variables function is invoked on the BackgroundTag with the inertial coordinates, the element's Mesh and the element's inverse Jacobian. These arguments allow computing numeric derivatives, if necessary. The BackgroundTag can be set to void (default) if the System has no background fields.

DataBox:

• Uses:
  • domain::Tags::InitialExtents<Dim>
  • BackgroundTag
• Adds:
  • Tags::Mortars<domain::Tags::Mesh<Dim - 1>, Dim>
  • Tags::Mortars<::Tags::MortarSize<Dim - 1>, Dim>
  • Tags::Variables<background_fields>
• Adds on internal and external faces:
  • domain::Tags::Coordinates<Dim, Frame::Inertial>
  • Tags::Normalized<domain::Tags::UnnormalizedFaceNormal<Dim>>
  • Tags::Magnitude<domain::Tags::UnnormalizedFaceNormal<Dim>>
  • Tags::Variables<background_fields>

See also

elliptic::dg::Actions::apply_operator