A class to create sub control volume and sub control volume face geometries per element for the order-3 hybrid CVFE scheme.
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template<class GridView, class ScvType, class ScvfType>
class Dumux::HybridPQ3GeometryHelper< GridView, ScvType, ScvfType >
Control volumes are defined only for vertex DOFs (same box dual mesh as PQ2). Edge, face, and element interior DOFs are non-CV DOFs. The key differences from PQ2:
- dofIndex adds localKey.index() to handle multiple DOFs per edge/face/element entity
- localDofPosition returns correct equidistant Lagrange node positions for order 3
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| | HybridPQ3GeometryHelper (const typename Element::Geometry &geometry) |
| ScvCornerStorage | getScvCorners (unsigned int localScvIdx) const |
| | Create a vector with the scv corners.
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| Dune::GeometryType | getScvGeometryType (unsigned int localScvIdx) const |
| ScvfCornerStorage | getScvfCorners (unsigned int localScvfIdx) const |
| | Create a vector with the corners of sub control volume faces.
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| Dune::GeometryType | getInteriorScvfGeometryType (unsigned int localScvfIdx) const |
| ScvfCornerStorage | getBoundaryScvfCorners (unsigned int localFacetIndex, unsigned int indexInFacet) const |
| | Create the sub control volume face geometries on the boundary.
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| Dune::GeometryType | getBoundaryScvfGeometryType (unsigned int localScvfIdx) const |
| template<int d = dimWorld, std::enable_if_t<(d==3), int > = 0> |
| GlobalPosition | normal (const ScvfCornerStorage &p, const std::array< LocalIndexType, 2 > &scvPair) |
| template<int d = dimWorld, std::enable_if_t<(d==2), int > = 0> |
| GlobalPosition | normal (const ScvfCornerStorage &p, const std::array< LocalIndexType, 2 > &scvPair) |
| const Element::Geometry & | elementGeometry () const |
| | the wrapped element geometry
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| std::size_t | numScv () const |
| | number of sub control volumes (one per vertex)
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| Scalar | scvVolume (unsigned int localScvIdx, const ScvCornerStorage &p) const |
| | get scv volume
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| template<class LocalKey> |
| GlobalPosition | dofPosition (const LocalKey &localKey) const |
| std::array< LocalIndexType, 2 > | getScvPairForScvf (unsigned int localScvfIndex) const |
| std::array< LocalIndexType, 2 > | getScvPairForBoundaryScvf (unsigned int localFacetIndex, unsigned int localIsScvfIndex) const |
| bool | isOverlappingScvf (unsigned int localScvfIndex) const |
| bool | isOverlappingBoundaryScvf (unsigned int localFacetIndex) const |
| bool | isOverlappingScv (unsigned int localScvIndex) const |
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| template<class Transformation> |
| static ScvCornerStorage | getScvCorners (Dune::GeometryType type, Transformation &&trans, unsigned int localScvIdx) |
| | Create a vector with the scv corners.
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| template<class Transformation> |
| static ScvfCornerStorage | getScvfCorners (Dune::GeometryType type, Transformation &&trans, unsigned int localScvfIdx) |
| | Create a vector with the corners of sub control volume faces.
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| static auto | numInteriorScvf (Dune::GeometryType type) |
| | number of interior sub control volume faces
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| static auto | numBoundaryScvf (Dune::GeometryType type, unsigned int localFacetIndex) |
| | number of boundary sub control volume faces for face localFacetIndex
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| template<class LocalKey> |
| static auto | localDofOnIntersection (Dune::GeometryType type, unsigned int iIdx, const LocalKey &localKey) |
| | Local dof index related to a localDof, with index localDofIdx, on an intersection with index iIdx.
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| template<class DofMapper, class LocalKey, class GlobalIdSet> |
| static auto | dofIndex (const DofMapper &dofMapper, const Element &element, const LocalKey &localKey, const GlobalIdSet &gidSet) |
| | Orientation-consistent global DOF index — delegates to PQ3LagrangeDofHelper.
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| template<class Geometry, class LocalKey> |
| static GlobalPosition | dofPosition (const Geometry &geo, const LocalKey &localKey) |
| template<class LocalKey> |
| static Element::Geometry::LocalCoordinate | localDofPosition (Dune::GeometryType type, const LocalKey &localKey) |
| | Local coordinate of a DOF for order-3 Lagrange basis.
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1.16.1