MeshLib::PyramidRule13 Class Reference

Detailed Description

This class represents a 3d pyramid element with 13 nodes. The following sketch shows the node numbering.

             4
           //|\
          // | \
      12 //  |  \11
        //   |10 \
       //    |    \
      3/.... |.....2
     ./      |  7 /
    ./9      |   /
  8./        |  /6
  ./         | /
 ./          |/
0------------1
      5

Definition at line 43 of file PyramidRule13.h.

#include <PyramidRule13.h>

Inheritance diagram for MeshLib::PyramidRule13:

Collaboration diagram for MeshLib::PyramidRule13:

Public Types
using	EdgeReturn = MeshLib::QuadraticEdgeReturn
	Returns the i-th edge of the element.

Static Public Member Functions
static const Element *	getFace (const Element *e, unsigned i)
	Returns the i-th face of the element.
static unsigned	identifyFace (Node const *const *element_nodes, Node const *nodes[3])
	Returns the ID of a face given an array of nodes.
Static Public Member Functions inherited from MeshLib::PyramidRule
static bool	isPntInElement (Node const *const *nodes, MathLib::Point3d const &pnt, double eps)
static ElementErrorCode	validate (const Element *e)
static double	computeVolume (Node const *const *element_nodes)
Static Public Member Functions inherited from MeshLib::CellRule
static bool	testElementNodeOrder (Element const &e)

Static Public Attributes
static const unsigned	n_all_nodes = 13u
	Constant: The number of all nodes for this element.
static const CellType	cell_type = CellType::PYRAMID13
	Constant: The FEM type of the element.
static constexpr const unsigned	face_nodes [5][8]
	Constant: Local node index table for faces.
static constexpr const unsigned	edge_nodes [8][3]
	Constant: Local node index table for edge.
static const unsigned	n_face_nodes [5] = {6, 6, 6, 6, 8}
	Constant: Table for the number of nodes for each face.
Static Public Attributes inherited from MeshLib::PyramidRule
static const unsigned	n_base_nodes = 5u
	Constant: The number of base nodes for this element.
static const MeshElemType	mesh_elem_type = MeshElemType::PYRAMID
	Constant: The geometric type of the element.
static const unsigned	n_faces = 5
	Constant: The number of faces.
static const unsigned	n_edges = 8
	Constant: The number of edges.
static const unsigned	n_neighbors = 5
	Constant: The number of neighbors.
Static Public Attributes inherited from MeshLib::CellRule
static const unsigned	dimension = 3u
	Constant: Dimension of this mesh element.

Additional Inherited Members
Static Protected Member Functions inherited from MeshLib::CellRule
template<typename ElementRule >
static unsigned	identifyFace (Node const *const *element_nodes, Node const *nodes[ElementRule::dimension])
	Returns the ID of a face given an array of nodes.

Member Typedef Documentation

EdgeReturn

using MeshLib::PyramidRule13::EdgeReturn = MeshLib::QuadraticEdgeReturn

Returns the i-th edge of the element.

Definition at line 77 of file PyramidRule13.h.

Member Function Documentation

getFace()

const Element * MeshLib::PyramidRule13::getFace ( const Element * e, unsigned i )

static

Returns the i-th face of the element.

Definition at line 22 of file PyramidRule13.cpp.

{
    if (i < n_faces)
    {
        unsigned nFaceNodes(PyramidRule13::n_face_nodes[i]);
        auto** nodes = new Node*[nFaceNodes];
        for (unsigned j = 0; j < nFaceNodes; j++)
        {
            nodes[j] = const_cast<Node*>(e->getNode(face_nodes[i][j]));
        }
 
        if (i < 4)
        {
            return new Tri6(nodes, e->getID());
        }
 
        return new Quad8(nodes, e->getID());
    }
    ERR("Error in MeshLib::Element::getFace() - Index {:d} does not exist.", i);
    return nullptr;
}

References ERR(), face_nodes, MeshLib::Element::getID(), MeshLib::Element::getNode(), n_face_nodes, and MeshLib::PyramidRule::n_faces.

identifyFace()

static unsigned MeshLib::PyramidRule13::identifyFace ( Node const *const * element_nodes, Node const * nodes[3] )

inlinestatic

Returns the ID of a face given an array of nodes.

Definition at line 83 of file PyramidRule13.h.

    {
        return CellRule::identifyFace<PyramidRule13>(element_nodes, nodes);
    }

References MeshLib::CellRule::identifyFace().

Member Data Documentation

cell_type

const CellType MeshLib::PyramidRule13::cell_type = CellType::PYRAMID13

static

Constant: The FEM type of the element.

Definition at line 50 of file PyramidRule13.h.

edge_nodes

const unsigned MeshLib::PyramidRule13::edge_nodes[8][3]

staticconstexpr

Initial value:

= {
        {0, 1, 5},   
        {1, 2, 6},   
        {2, 3, 7},   
        {3, 0, 8},   
        {0, 4, 9},   
        {1, 4, 10},  
        {2, 4, 11},  
        {3, 4, 12}   
    }

Constant: Local node index table for edge.

Definition at line 62 of file PyramidRule13.h.

                                                       {
        {0, 1, 5},   // Edge 0
        {1, 2, 6},   // Edge 1
        {2, 3, 7},   // Edge 2
        {3, 0, 8},   // Edge 3
        {0, 4, 9},   // Edge 4
        {1, 4, 10},  // Edge 5
        {2, 4, 11},  // Edge 6
        {3, 4, 12}   // Edge 7
    };

face_nodes

const unsigned MeshLib::PyramidRule13::face_nodes[5][8]

staticconstexpr

Initial value:

= {
        {0, 1, 4, 5, 10, 9, 99, 99},   
        {1, 2, 4, 6, 11, 10, 99, 99},  
        {2, 3, 4, 7, 12, 11, 99, 99},  
        {3, 0, 4, 8, 9, 12, 99, 99},   
        {0, 3, 2, 1, 8, 7, 6, 5}       
    }

Constant: Local node index table for faces.

Definition at line 53 of file PyramidRule13.h.

                                                       {
        {0, 1, 4, 5, 10, 9, 99, 99},   // Face 0
        {1, 2, 4, 6, 11, 10, 99, 99},  // Face 1
        {2, 3, 4, 7, 12, 11, 99, 99},  // Face 2
        {3, 0, 4, 8, 9, 12, 99, 99},   // Face 3
        {0, 3, 2, 1, 8, 7, 6, 5}       // Face 4
    };

Referenced by getFace().

n_all_nodes

const unsigned MeshLib::PyramidRule13::n_all_nodes = 13u

static

Constant: The number of all nodes for this element.

Definition at line 47 of file PyramidRule13.h.

n_face_nodes

const unsigned MeshLib::PyramidRule13::n_face_nodes = {6, 6, 6, 6, 8}

static

Constant: Table for the number of nodes for each face.

Definition at line 74 of file PyramidRule13.h.

Referenced by getFace().

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The documentation for this class was generated from the following files:

• MeshLib/Elements/PyramidRule13.h
• MeshLib/Elements/PyramidRule13.cpp