MeshLib::HexRule20 Class Reference

Detailed Description

A 20-nodes Hexahedron Element.

 Hex:
               14
         7-----------6
        /:          /|
       / :         / |
    15/  :        /13|
     / 19:       /   | 18
    /    : 12   /    |
   4-----------5     |
   |     :     | 10  |
   |     3.....|.....2
   |    .      |    /
16 |   .       |17 /
   |11.        |  / 9
   | .         | /
   |.          |/
   0-----------1
         8

Definition at line 37 of file HexRule20.h.

#include <HexRule20.h>

Inheritance diagram for MeshLib::HexRule20:

Collaboration diagram for MeshLib::HexRule20:

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::HexRule
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 = 20u
	Constant: The number of all nodes for this element.
static const CellType	cell_type = CellType::HEX20
	Constant: The FEM type of the element.
static constexpr const unsigned	face_nodes [6][8]
	Constant: Local node index table for faces.
static constexpr const unsigned	edge_nodes [12][3]
	Constant: Local node index table for edge.
Static Public Attributes inherited from MeshLib::HexRule
static const unsigned	n_base_nodes = 8u
	Constant: The number of base nodes for this element.
static const MeshElemType	mesh_elem_type = MeshElemType::HEXAHEDRON
	Constant: The geometric type of the element.
static const unsigned	n_faces = 6
	Constant: The number of faces.
static const unsigned	n_edges = 12
	Constant: The number of edges.
static const unsigned	n_neighbors = 6
	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::HexRule20::EdgeReturn = MeshLib::QuadraticEdgeReturn

Returns the i-th edge of the element.

Definition at line 73 of file HexRule20.h.

Member Function Documentation

getFace()

const Element * MeshLib::HexRule20::getFace ( const Element * e, unsigned i )

static

Returns the i-th face of the element.

Definition at line 16 of file HexRule20.cpp.

{
    if (i < n_faces)
    {
        std::array<Node*, 8> nodes{};
        for (unsigned j = 0; j < 8; j++)
        {
            nodes[j] = const_cast<Node*>(e->getNode(face_nodes[i][j]));
        }
        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(), and MeshLib::HexRule::n_faces.

identifyFace()

unsigned MeshLib::HexRule20::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 79 of file HexRule20.h.

    {
        return CellRule::identifyFace<HexRule20>(element_nodes, nodes);
    }

References MeshLib::CellRule::identifyFace().

Member Data Documentation

cell_type

const CellType MeshLib::HexRule20::cell_type = CellType::HEX20

static

Constant: The FEM type of the element.

Definition at line 44 of file HexRule20.h.

edge_nodes

const unsigned MeshLib::HexRule20::edge_nodes[12][3]

staticconstexpr

Initial value:

= {
        {0, 1, 8},   
        {1, 2, 9},   
        {2, 3, 10},  
        {0, 3, 11},  
        {4, 5, 12},  
        {5, 6, 13},  
        {6, 7, 14},  
        {4, 7, 15},  
        {0, 4, 16},  
        {1, 5, 17},  
        {2, 6, 18},  
        {3, 7, 19}   
    }

Constant: Local node index table for edge.

Definition at line 57 of file HexRule20.h.

                                                        {
        {0, 1, 8},   // Edge 0
        {1, 2, 9},   // Edge 1
        {2, 3, 10},  // Edge 2
        {0, 3, 11},  // Edge 3
        {4, 5, 12},  // Edge 4
        {5, 6, 13},  // Edge 5
        {6, 7, 14},  // Edge 6
        {4, 7, 15},  // Edge 7
        {0, 4, 16},  // Edge 8
        {1, 5, 17},  // Edge 9
        {2, 6, 18},  // Edge 10
        {3, 7, 19}   // Edge 11
    };

face_nodes

const unsigned MeshLib::HexRule20::face_nodes[6][8]

staticconstexpr

Initial value:

= {
        {0, 3, 2, 1, 11, 10, 9, 8},    
        {0, 1, 5, 4, 8, 17, 12, 16},   
        {1, 2, 6, 5, 9, 18, 13, 17},   
        {2, 3, 7, 6, 10, 19, 14, 18},  
        {3, 0, 4, 7, 11, 16, 15, 19},  
        {4, 5, 6, 7, 12, 13, 14, 15}   
    }

Constant: Local node index table for faces.

Definition at line 47 of file HexRule20.h.

                                                       {
        {0, 3, 2, 1, 11, 10, 9, 8},    // Face 0
        {0, 1, 5, 4, 8, 17, 12, 16},   // Face 1
        {1, 2, 6, 5, 9, 18, 13, 17},   // Face 2
        {2, 3, 7, 6, 10, 19, 14, 18},  // Face 3
        {3, 0, 4, 7, 11, 16, 15, 19},  // Face 4
        {4, 5, 6, 7, 12, 13, 14, 15}   // Face 5
    };

Referenced by getFace().

n_all_nodes

const unsigned MeshLib::HexRule20::n_all_nodes = 20u

static

Constant: The number of all nodes for this element.

Definition at line 41 of file HexRule20.h.

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

• HexRule20.h
• HexRule20.cpp