Utility class for quadratic tetrahedron cells with 10 nodes. More...
#include <MeshVizXLM/extractors/MxTetrahedron10CellExtract.h>
Static Public Member Functions | |
static MbVec3d | getIsoParametricCoord (const MiGeometryI &meshGeometry, const MiVolumeCell *tetrahedronCell, const MbVec3d &point) |
static MbVec3d | getIsoParametricCoord (size_t nodeIndex) |
static void | getWeight (const MiGeometryI &meshGeometry, const MiVolumeCell *tetrahedronCell, const MbVec3d &point, std::vector< double > &weights) |
static void | getWeight (const MbVec3d &ipcoord, std::vector< double > &weights) |
static void | getDerivs (const MbVec3d &ipcoord, std::vector< double > &derivs) |
static bool | isPointInsideCell (const MiGeometryI &meshGeometry, const MiVolumeCell *tetrahedronCell, const MbVec3d &point, std::vector< double > &weights) |
static size_t | getNodesIndexOfFacet (size_t facet, std::vector< size_t > &facetNodes) |
static size_t | getSubTriangleNodesIndex (size_t face, std::vector< size_t > &triangleNodeIds) |
static size_t | getSubTetrahedronNodesIndex (std::vector< size_t > &tetrahedronNodeIds) |
Friends | |
std::ostream & | operator<< (std::ostream &s, const MxTetrahedron10CellExtract &cell) |
Utility class that provides a static implementation of MiVolumeCell's methods for a quadratic tetrahedron of 10 nodes. This class is provided to make it easier to create a class that implements the MiVolumeCell interface for a quadratic tetrahedron of 10 nodes.
The following image shows the node numbering and the face numbering used by this class. The weight (see getWeight()), parametric coordinates (see getIsoParametricCoord()), and the decomposition in sub tetrahedrons (see getSubTetrahedronNodesIndex()) are defined according to this node numbering. The face decomposition (see getSubTriangleNodesIndex()) is defined according to this node and face numbering.
Nodes and faces numbering
static void MxTetrahedron10CellExtract::getDerivs | ( | const MbVec3d & | ipcoord, | |
std::vector< double > & | derivs | |||
) | [static] |
Gets the value of the derivatives of the shape functions (aka weights) at the point given by its iso parametric coordinates.
[in] | ipcoord | The iso parametric coordinates of the input point. The reference space for the iso parametric coordinates is assumed to be [0-1]. Thus any point inside the cell has iso parametric coordinates in the interval [0-1]. |
[out] | derivs | This method computes the 30 values derivs[0-29]. It assumes the derivs vector array has been already allocated. Its size must be set to 30 (at least) before calling this method, using for instance the derivs.resize(30) |
static MbVec3d MxTetrahedron10CellExtract::getIsoParametricCoord | ( | size_t | nodeIndex | ) | [static] |
Returns the iso parametric coordinates of one of the 10 nodes of a quadratic tetrahedron.
This static method helps to implement the method MiCell::getIsoParametricCoord().
[in] | nodeIndex | Must be defined in the range [0-9] |
static MbVec3d MxTetrahedron10CellExtract::getIsoParametricCoord | ( | const MiGeometryI & | meshGeometry, | |
const MiVolumeCell * | tetrahedronCell, | |||
const MbVec3d & | point | |||
) | [static] |
Computes the iso parametric coordinates of the given point in the given cell with the given geometry.
As computing the iso parametric coordinates of a point needs the coordinates of the cell's nodes, the given tetrahedronCell is assumed to contain 10 nodes.
meshGeometry.getCoord(tetrahedronCell->getNodeIndex(i))
[in] | meshGeometry | The geometry of the mesh. |
[in] | tetrahedronCell | The input cell. |
[in] | point | The input point given in the same space coordinate as meshGeometry. |
static size_t MxTetrahedron10CellExtract::getNodesIndexOfFacet | ( | size_t | facet, | |
std::vector< size_t > & | facetNodes | |||
) | [inline, static] |
Gets the array of "linear" node indices belonging to a given facet.
[in] | facet | The index of the facet (where 0 <= facet < 4). |
[out] | facetNodes | The array of "linear" local node indices of the facet. ( 0 <= facetNodes[i] < 10 for each i ). |
static size_t MxTetrahedron10CellExtract::getSubTetrahedronNodesIndex | ( | std::vector< size_t > & | tetrahedronNodeIds | ) | [inline, static] |
Gets a decomposition in sub-tetrahedra of a quadratic tetrahedron of 10 nodes.
This static method helps to implement the method MiVolumeCell::getSubTetrahedronNodesIndex() for a quadratic tetrahedron of 10 nodes.
[out] | tetrahedronNodeIds | Sub tetrahedra node ids (where: 0 <= tetrahedronNodeIds[i] < 10 for each i). this method assign the 32 node ids tetrahedronNodeIds[0-31] |
static size_t MxTetrahedron10CellExtract::getSubTriangleNodesIndex | ( | size_t | face, | |
std::vector< size_t > & | triangleNodeIds | |||
) | [inline, static] |
Gets a triangulation of the given facet of a quadratic tetrahedron of 10 nodes.
This static method helps to implement the method MiVolumeCell::getSubTriangleNodesIndex() for a quadratic tetrahedron of 10 nodes.
[in] | face | Number of the face. (where: 0 <= face < 4 ). |
[out] | triangleNodeIds | Sub triangle node ids (where: 0 <= triangleNodeIds[i] < 10 for each i). |
static void MxTetrahedron10CellExtract::getWeight | ( | const MbVec3d & | ipcoord, | |
std::vector< double > & | weights | |||
) | [static] |
Gets the weights of a point defined by its iso parametric coordinates.
This static method helps to implement the method MiCell::getWeight(ipcoord,weights) for a quadratic tetrahedron of 10 nodes.
[in] | ipcoord | The iso parametric coordinates of the input point. The reference space for the iso parametric coordinates is assumed to be [0-1]. Thus any point inside the cell has iso parametric coordinates in the interval [0-1]. |
[out] | weights | This method computes the 10 values weights[0-9]. It assumes the weights vector array has been already allocated. Its size must be set to 10 (at least) before calling this method, using for instance the weights.resize(10) |
static void MxTetrahedron10CellExtract::getWeight | ( | const MiGeometryI & | meshGeometry, | |
const MiVolumeCell * | tetrahedronCell, | |||
const MbVec3d & | point, | |||
std::vector< double > & | weights | |||
) | [inline, static] |
Gets the weights in the given cell of the given point.
This static method helps to implement the method MiCell::getWeight(meshGeometry,point,weights) for a quadratic tetrahedron of 10 nodes. As computing the weights of a point needs the coordinates of the cell's nodes, the given tetrahedronCell is assumed to contain 10 nodes.
meshGeometry.getCoord(tetrahedronCell->getNodeIndex(i))
[in] | meshGeometry | The geometry of the mesh. |
[in] | tetrahedronCell | The input cell. |
[in] | point | The input point given in the same space coordinate as meshGeometry. |
[out] | weights | This method computes the 10 values weights[0-9]. It assumes the weights vector array has been already allocated. Its size must be set to 10 (at least) before calling this method, using for instance the weights.resize(10) |
static bool MxTetrahedron10CellExtract::isPointInsideCell | ( | const MiGeometryI & | meshGeometry, | |
const MiVolumeCell * | tetrahedronCell, | |||
const MbVec3d & | point, | |||
std::vector< double > & | weights | |||
) | [inline, static] |
Checks if a point is inside or outside a quadratic tetrahedron cell of 10 nodes.
This static method helps to implement the method MiCell::isPointInsideCell(meshGeometry,point,weights) for a quadratic tetrahedron of 10 nodes.
[in] | meshGeometry | The geometry of the mesh. |
[in] | tetrahedronCell | The input cell. |
[in] | point | The input point given in the same space coordinate as meshGeometry. |
[out] | weights | This method computes the 10 values weights[0-9] if the point is inside the cell. It assumes the weights vector array has been already allocated. Its size must be set to 10 (at least) before calling this method, using for instance the weights.resize(10) |
std::ostream& operator<< | ( | std::ostream & | s, | |
const MxTetrahedron10CellExtract & | cell | |||
) | [friend] |