Utility class for quadratic hexahedron cells with 27 nodes.
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#include <MeshVizXLM/extractors/MxHexahedron27CellExtract.h>

static MbVec3d  getIsoParametricCoord (const MiGeometryI &meshGeometry, const MiVolumeCell *hexahedronCell, const MbVec3d &point) 
 Computes the iso parametric coordinates of the given point in the given cell with the given geometry.


static MbVec3d  getIsoParametricCoord (size_t nodeIndex) 
 Returns the iso parametric coordinates of one of the 27 nodes of a quadratic hexahedron.


static void  getWeight (const MiGeometryI &meshGeometry, const MiVolumeCell *hexahedronCell, const MbVec3d &point, std::vector< double > &weights) 
 Gets the weights in the given cell of the given point.


static void  getWeight (const MbVec3d &ipcoord, std::vector< double > &weights) 
 Gets the weights of a point defined by its iso parametric coordinates.


static void  getDerivs (const MbVec3d &ipcoord, std::vector< double > &derivs) 
 Gets the value of the derivatives of the shape functions (aka weights) at the point given by its iso parametric coordinates.


static bool  isPointInsideCell (const MiGeometryI &meshGeometry, const MiVolumeCell *hexahedronCell, const MbVec3d &point, std::vector< double > &weights) 
 Checks if a point is inside or outside a quadratic hexahedron cell of 27 nodes.


static size_t  getNodesIndexOfFacet (size_t facet, std::vector< size_t > &facetNodes) 
 Gets the array of "linear" node indices belonging to a given facet.


static size_t  getSubTriangleNodesIndex (size_t face, std::vector< size_t > &triangleNodeIds) 
 Gets a triangulation of the given facet of a quadratic hexahedron of 27 nodes.


static size_t  getSubTetrahedronNodesIndex (std::vector< size_t > &tetrahedronNodeIds) 
 Gets a decomposition in subtetrahedra of a quadratic hexahedron of 27 nodes.


Utility class for quadratic hexahedron cells with 27 nodes.
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
Definition at line 62 of file MxHexahedron27CellExtract.h.
◆ getDerivs()
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.
 Parameters

[in]  ipcoord  The iso parametric coordinates of the input point. The reference space for the iso parametric coordinates is assumed to be [01]. Thus any point inside the cell has iso parametric coordinates in the interval [01]. 
[out]  derivs  This method computes the 81 values derivs[080].
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) 
◆ getIsoParametricCoord() [1/2]
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.
 Note
 Each node coordinate of the given cell is retrieved in the following way:
meshGeometry.getCoord(hexahedronCell>getNodeIndex(i))
for each i in the range [026].
 Parameters

[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. 
◆ getIsoParametricCoord() [2/2]
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().
 Parameters

[in]  nodeIndex  Must be defined in the range [026] 
◆ getNodesIndexOfFacet()
static size_t MxHexahedron27CellExtract::getNodesIndexOfFacet 
( 
size_t 
facet, 


std::vector< size_t > & 
facetNodes 

) 
 

inlinestatic 
Gets the array of "linear" node indices belonging to a given facet.
 Parameters

[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 ). 
 Returns
 The number of nodes added.
Definition at line 171 of file MxHexahedron27CellExtract.h.
◆ getSubTetrahedronNodesIndex()
static size_t MxHexahedron27CellExtract::getSubTetrahedronNodesIndex 
( 
std::vector< size_t > & 
tetrahedronNodeIds  ) 


inlinestatic 
Gets a decomposition in subtetrahedra of a quadratic hexahedron of 27 nodes.
This static method helps to implement the method MiVolumeCell::getSubTetrahedronNodesIndex() for a quadratic hexahedron of 27 nodes.
 Parameters

[out]  tetrahedronNodeIds  Sub tetrahedra node ids (where: 0 <= tetrahedronNodeIds[i] < 27 for each i). this method assign the 192 node ids tetrahedronNodeIds[0191] 
 Returns
 48 (number of subtetrahedra in a quadratic hexahedron of 27 nodes)
Definition at line 199 of file MxHexahedron27CellExtract.h.
◆ getSubTriangleNodesIndex()
static size_t MxHexahedron27CellExtract::getSubTriangleNodesIndex 
( 
size_t 
face, 


std::vector< size_t > & 
triangleNodeIds 

) 
 

inlinestatic 
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.
 Parameters

[in]  face  Number of the face. (where: 0 <= face < 6 ). 
[out]  triangleNodeIds  Sub triangle node ids (where: 0 <= triangleNodeIds[i] < 27 for each i). 
 Returns
 The number of sub triangles in the facet of the cell.
Definition at line 185 of file MxHexahedron27CellExtract.h.
◆ getWeight() [1/2]
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.
 Parameters

[in]  ipcoord  The iso parametric coordinates of the input point. The reference space for the iso parametric coordinates is assumed to be [01]. Thus any point inside the cell has iso parametric coordinates in the interval [01]. 
[out]  weights  This method computes the 27 values weights[026].
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) 
◆ getWeight() [2/2]
static void MxHexahedron27CellExtract::getWeight 
( 
const MiGeometryI & 
meshGeometry, 


const MiVolumeCell * 
hexahedronCell, 


const MbVec3d & 
point, 


std::vector< double > & 
weights 

) 
 

inlinestatic 
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.
 Note
 Each node coordinate of the given cell is retrieved in the following way:
meshGeometry.getCoord(hexahedronCell>getNodeIndex(i))
for each i in the range [026].
 Parameters

[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[026]. 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) 
Definition at line 107 of file MxHexahedron27CellExtract.h.
◆ isPointInsideCell()
static bool MxHexahedron27CellExtract::isPointInsideCell 
( 
const MiGeometryI & 
meshGeometry, 


const MiVolumeCell * 
hexahedronCell, 


const MbVec3d & 
point, 


std::vector< double > & 
weights 

) 
 

inlinestatic 
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.
 Parameters

[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[026] 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) 
 Returns
 true if the point is inside the cell.
Definition at line 153 of file MxHexahedron27CellExtract.h.
◆ operator<<
The documentation for this class was generated from the following file: