Geometry and shape functions for 1st order Vertex-Centered Finite Volume. More...
#include <fv1_geom.h>
Inheritance diagram for ug::FV1CondensedGeometry< TElem, TWorldDim >:Additional Inherited Members | |
| Public Types inherited from ug::FV1Geometry_gen< TElem, TWorldDim, true > | |
| typedef TElem | elem_type |
| type of element | |
| typedef LagrangeP1< ref_elem_type > | local_shape_fct_set_type |
| type of Shape function used | |
| typedef reference_element_traits< TElem >::reference_element_type | ref_elem_type |
| type of reference element | |
| typedef traits::scv_type | scv_type |
| type of SubControlVolume | |
| typedef fv1_traits< ref_elem_type, TWorldDim > | traits |
| used traits | |
| Public Member Functions inherited from ug::FV1Geometry_gen< TElem, TWorldDim, true > | |
| void | add_boundary_subset (int subsetIndex) |
| add subset that is interpreted as boundary subset. | |
| const std::vector< BF > & | bf (int si) const |
| returns reference to vector of boundary faces for subsetIndex | |
| const BF & | bf (int si, size_t i) const |
| returns the boundary face i for subsetIndex | |
| void | clear_boundary_subsets () |
| reset all boundary subsets | |
| const MathVector< worldDim > * | coe_global () const |
| returns the global coordinates of the center of mass of the element | |
| const MathVector< dim > * | coe_local () const |
| returns the local coordinates of the center of mass of the element | |
| const MathVector< worldDim > * | corners () const |
| get vector of the global coordinates of corners for current element | |
| TElem * | elem () const |
| get the element | |
| FV1Geometry_gen () | |
| construct object and initialize local values and sizes | |
| const MathVector< worldDim > & | global_node_position (size_t nodeID) const |
| return global coords for node ID | |
| const MathVector< dim > & | local_node_position (size_t nodeID) const |
| return local coords for node ID | |
| size_t | num_bf () const |
| number of all boundary faces | |
| size_t | num_bf (int si) const |
| number of boundary faces on subset 'subsetIndex' | |
| size_t | num_boundary_subsets () |
| number of registered boundary subsets | |
| size_t | num_scv () const |
| number of SubControlVolumes | |
| size_t | num_scv_ips () const |
| returns number of all scv ips | |
| size_t | num_scvf () const |
| number of SubControlVolumeFaces | |
| size_t | num_scvf_ips () const |
| returns number of all scvf ips | |
| size_t | num_sh () const |
| number of shape functions | |
| void | remove_boundary_subset (int subsetIndex) |
| removes subset that is interpreted as boundary subset. | |
| void | reset_curr_elem () |
| ReferenceObjectID | roid () const |
| returns reference object id | |
| const SCV & | scv (size_t i) const |
| const access to SubControlVolume number i | |
| const MathVector< worldDim > * | scv_global_ips () const |
| returns all ips of scv as they appear in scv loop | |
| const MathVector< dim > * | scv_local_ips () const |
| returns all ips of scv as they appear in scv loop | |
| const SCVF & | scvf (size_t i) const |
| const access to SubControlVolumeFace number i | |
| const MathVector< worldDim > * | scvf_global_ips () const |
| returns all ips of scvf as they appear in scv loop | |
| const MathVector< dim > * | scvf_local_ips () const |
| returns all ips of scvf as they appear in scv loop | |
| void | update (GridObject *elem, const MathVector< worldDim > *vCornerCoords, const ISubsetHandler *ish=NULL) |
| update data for given element | |
| void | update_boundary_faces (GridObject *elem, const MathVector< worldDim > *vCornerCoords, const ISubsetHandler *ish=NULL) |
| update boundary data for given element | |
| void | update_local_data () |
| update local data | |
| Static Public Attributes inherited from ug::FV1Geometry_gen< TElem, TWorldDim, true > | |
| static const bool | condensed_scvf_ips |
| whether the scheme shifts the scvf ip's to midpoints of the edges | |
| static const int | dim |
| dimension of reference element | |
| static const size_t | nip |
| number of integration points | |
| static const size_t | nsh |
| number of shape functions | |
| static const size_t | numSCV |
| number of SubControlVolumes | |
| static const size_t | numSCVF |
| number of SubControlVolumeFaces | |
| static const int | order |
| order | |
| static const bool | staticLocalData |
| flag indicating if local data may change | |
| static const bool | usesHangingNodes |
| Hanging node flag: this Geometry does not support hanging nodes. | |
| static const int | worldDim |
| dimension of world | |
| Protected Attributes inherited from ug::FV1Geometry_gen< TElem, TWorldDim, true > | |
| std::map< int, std::vector< BF > > | m_mapVectorBF |
| std::vector< BF > | m_vEmptyVectorBF |
| MathVector< worldDim > | m_vGlobSCV_IP [numSCV] |
| MathVector< worldDim > | m_vGlobSCVF_IP [numSCVF] |
| MathVector< dim > | m_vLocSCV_IP [numSCV] |
| MathVector< dim > | m_vLocSCVF_IP [numSCVF] |
Geometry and shape functions for 1st order Vertex-Centered Finite Volume.
The class provides the geometry and shape functions for 1st order Vertex-Centered Finite Element Finite Volume method based on the Donald Diagrams.
This class shifts the subcontrol volume face integration points to the edges. This allows to reduce the matrix pattern and to avoid positive off-diagonal entries in some cases. (For ex., the discretization of the Laplacian on a grid of rectangles retains results in the 5-point stencil.) However note that, in many cases, this leads to the discretization order reduction.
Cf. class FV1Geometry_gen for the implementation.
| TElem | Element type |
| TWorldDim | (physical) world dimension |
1.9.8 