Utility class for quadratic hexahedron cells with 27 nodes. More...
#include <MeshVizXLM/extractors/MxHexahedron27CellExtract.h>
Static Public Member Functions | |
static MbVec3d | getIsoParametricCoord (const MiGeometryI &meshGeometry, const MiVolumeCell *hexahedronCell, const MbVec3d &point) |
static MbVec3d | getIsoParametricCoord (size_t nodeIndex) |
static void | getWeight (const MiGeometryI &meshGeometry, const MiVolumeCell *hexahedronCell, 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 *hexahedronCell, 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 MxHexahedron27CellExtract &cell) |
Utility class that provides a static implementation of MiVolumeCell's methods for a quadratic hexahedron of 27 nodes. This class is provided to make it easier to create a class that implements the MiVolumeCell interface for a quadratic hexahedron of 27 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 MxHexahedron27CellExtract::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 81 values derivs[0-80]. It assumes the derivs vector array has been already allocated. Its size must be set to 81 (at least) before calling this method, using for instance the derivs.resize(81) |
static MbVec3d MxHexahedron27CellExtract::getIsoParametricCoord | ( | size_t | nodeIndex | ) | [static] |
Returns the iso parametric coordinates of one of the 27 nodes of a quadratic hexahedron.
This static method helps to implement the method MiCell::getIsoParametricCoord().
[in] | nodeIndex | Must be defined in the range [0-26] |
static MbVec3d MxHexahedron27CellExtract::getIsoParametricCoord | ( | const MiGeometryI & | meshGeometry, | |
const MiVolumeCell * | hexahedronCell, | |||
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 hexahedronCell is assumed to contain 27 nodes.
meshGeometry.getCoord(hexahedronCell->getNodeIndex(i))
[in] | meshGeometry | The geometry of the mesh. |
[in] | hexahedronCell | The input cell. |
[in] | point | The input point given in the same space coordinate as meshGeometry. |
static size_t MxHexahedron27CellExtract::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 < 6). |
[out] | facetNodes | The array of "linear" local node indices of the facet. ( 0 <= facetNodes[i] < 27 for each i ). |
static size_t MxHexahedron27CellExtract::getSubTetrahedronNodesIndex | ( | std::vector< size_t > & | tetrahedronNodeIds | ) | [inline, static] |
Gets a decomposition in sub-tetrahedra of a quadratic hexahedron of 27 nodes.
This static method helps to implement the method MiVolumeCell::getSubTetrahedronNodesIndex() for a quadratic hexahedron of 27 nodes.
[out] | tetrahedronNodeIds | Sub tetrahedra node ids (where: 0 <= tetrahedronNodeIds[i] < 27 for each i). this method assign the 192 node ids tetrahedronNodeIds[0-191] |
static size_t MxHexahedron27CellExtract::getSubTriangleNodesIndex | ( | size_t | face, | |
std::vector< size_t > & | triangleNodeIds | |||
) | [inline, static] |
Gets a triangulation of the given facet of a quadratic hexahedron of 27 nodes.
This static method helps to implement the method MiVolumeCell::getSubTriangleNodesIndex() for a quadratic hexahedron of 27 nodes.
[in] | face | Number of the face. (where: 0 <= face < 6 ). |
[out] | triangleNodeIds | Sub triangle node ids (where: 0 <= triangleNodeIds[i] < 27 for each i). |
static void MxHexahedron27CellExtract::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 hexahedron of 27 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 27 values weights[0-26]. It assumes the weights vector array has been already allocated. Its size must be set to 27 (at least) before calling this method, using for instance the weights.resize(27) |
static void MxHexahedron27CellExtract::getWeight | ( | const MiGeometryI & | meshGeometry, | |
const MiVolumeCell * | hexahedronCell, | |||
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 hexahedron of 27 nodes. As computing the weights of a point needs the coordinates of the cell's nodes, the given hexahedronCell is assumed to contain 27 nodes.
meshGeometry.getCoord(hexahedronCell->getNodeIndex(i))
[in] | meshGeometry | The geometry of the mesh. |
[in] | hexahedronCell | The input cell. |
[in] | point | The input point given in the same space coordinate as meshGeometry. |
[out] | weights | This method computes the 27 values weights[0-26]. It assumes the weights vector array has been already allocated. Its size must be set to 27 (at least) before calling this method, using for instance the weights.resize(27) |
static bool MxHexahedron27CellExtract::isPointInsideCell | ( | const MiGeometryI & | meshGeometry, | |
const MiVolumeCell * | hexahedronCell, | |||
const MbVec3d & | point, | |||
std::vector< double > & | weights | |||
) | [inline, static] |
Checks if a point is inside or outside a quadratic hexahedron cell of 27 nodes.
This static method helps to implement the method MiCell::isPointInsideCell(meshGeometry,point,weights) for a quadratic hexahedron of 27 nodes.
[in] | meshGeometry | The geometry of the mesh. |
[in] | hexahedronCell | The input cell. |
[in] | point | The input point given in the same space coordinate as meshGeometry. |
[out] | weights | This method computes the 27 values weights[0-26] if the point is inside the cell. It assumes the weights vector array has been already allocated. Its size must be set to 27 (at least) before calling this method, using for instance the weights.resize(27) |
std::ostream& operator<< | ( | std::ostream & | s, | |
const MxHexahedron27CellExtract & | cell | |||
) | [friend] |