MeshLib::TriRule3 Class Reference

Detailed Description

This class represents a 2d triangle element. The following sketch shows the node and edge numbering.

      2
      o
     / \
    /   \
  2/     \1
  /       \
 /         \
0-----------1
      0

Definition at line 38 of file TriRule3.h.

#include <TriRule3.h>

Inheritance diagram for MeshLib::TriRule3:

Collaboration diagram for MeshLib::TriRule3:

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

Static Public Member Functions
static bool	isPntInElement (Node const *const *nodes, MathLib::Point3d const &pnt, double eps)
static ElementErrorCode	validate (const Element *e)
static unsigned	identifyFace (Node const *const *, Node const *nodes[3])
	Returns the ID of a face given an array of nodes. More...
static double	computeVolume (Node const *const *_nodes)
	Calculates the volume of a convex hexahedron by partitioning it into six tetrahedra. More...
Static Public Member Functions inherited from MeshLib::FaceRule
static const Element *	getFace (const Element *e, unsigned i)
	Returns the face i of the element. More...
static bool	testElementNodeOrder (Element const &e)
static Eigen::Vector3d	getFirstSurfaceVector (Element const &e)
static Eigen::Vector3d	getSecondSurfaceVector (Element const &e)
static Eigen::Vector3d	getSurfaceNormal (Element const &e)
	Returns the surface normal of a 2D element. More...

Static Public Attributes
static const unsigned	n_base_nodes = 3u
	Constant: The number of base nodes for this element. More...
static const unsigned	n_all_nodes = 3u
	Constant: The number of all nodes for this element. More...
static const MeshElemType	mesh_elem_type = MeshElemType::TRIANGLE
	Constant: The geometric type of the element. More...
static const CellType	cell_type = CellType::TRI3
	Constant: The FEM type of the element. More...
static const unsigned	n_edges = 3
	Constant: The number of edges. More...
static const unsigned	n_neighbors = 3
	Constant: The number of neighbors. More...
static const unsigned	edge_nodes [3][2]
	Constant: Local node index table for edge. More...
Static Public Attributes inherited from MeshLib::FaceRule
static const unsigned	dimension = 2u
	Constant: Dimension of this mesh element. More...
static const unsigned	n_faces = 0
	Constant: The number of faces. More...

Member Typedef Documentation

EdgeReturn

using MeshLib::TriRule3::EdgeReturn = MeshLib::LinearEdgeReturn

Returns the i-th edge of the element.

Definition at line 63 of file TriRule3.h.

Member Function Documentation

computeVolume()

double MeshLib::TriRule3::computeVolume ( Node const *const *  _nodes )

static

Calculates the volume of a convex hexahedron by partitioning it into six tetrahedra.

Definition at line 24 of file TriRule3.cpp.

{
    return MathLib::calcTriangleArea(*_nodes[0], *_nodes[1], *_nodes[2]);
}

References MathLib::calcTriangleArea().

identifyFace()

unsigned MeshLib::TriRule3::identifyFace ( Node const *const *  _nodes, Node const *  nodes[3]  )

static

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

Definition at line 36 of file TriRule3.cpp.

{
    for (unsigned i = 0; i < 3; i++)
    {
        unsigned flag(0);
        for (unsigned j = 0; j < 2; j++)
        {
            for (unsigned k = 0; k < 2; k++)
            {
                if (_nodes[edge_nodes[i][j]] == nodes[k])
                {
                    flag++;
                }
            }
        }
        if (flag == 2)
        {
            return i;
        }
    }
    return std::numeric_limits<unsigned>::max();
}

References edge_nodes.

isPntInElement()

bool MeshLib::TriRule3::isPntInElement ( Node const *const *  nodes, MathLib::Point3d const &  pnt, double  eps  )

static

Checks if a point is inside the element.

Parameters

pnt	a 3D MathLib::Point3d object
eps	tolerance for numerical algorithm used or computing the property

Returns

true if the point is not outside the element, false otherwise

Parameters

nodes

the nodes of the element.

Definition at line 29 of file TriRule3.cpp.

{
    return MathLib::isPointInTriangle(pnt, *nodes[0], *nodes[1], *nodes[2],
                                      eps);
}

References MathLib::isPointInTriangle().

validate()

ElementErrorCode MeshLib::TriRule3::validate ( const Element *  e )

static

Tests if the element is geometrically valid.

Definition at line 59 of file TriRule3.cpp.

{
    ElementErrorCode error_code;
    error_code[ElementErrorFlag::ZeroVolume] = hasZeroVolume(*e);
    error_code[ElementErrorFlag::NodeOrder] = !e->testElementNodeOrder();
    return error_code;
}

References MeshLib::hasZeroVolume(), NodeOrder, MeshLib::Element::testElementNodeOrder(), and ZeroVolume.

Member Data Documentation

cell_type

const CellType MeshLib::TriRule3::cell_type = CellType::TRI3

static

Constant: The FEM type of the element.

Definition at line 51 of file TriRule3.h.

edge_nodes

const unsigned MeshLib::TriRule3::edge_nodes

static

Initial value:

= {
    {0, 1},  
    {1, 2},  
    {2, 0},  
}

Constant: Local node index table for edge.

Definition at line 60 of file TriRule3.h.

Referenced by identifyFace().

mesh_elem_type

const MeshElemType MeshLib::TriRule3::mesh_elem_type = MeshElemType::TRIANGLE

static

Constant: The geometric type of the element.

Definition at line 48 of file TriRule3.h.

n_all_nodes

const unsigned MeshLib::TriRule3::n_all_nodes = 3u

static

Constant: The number of all nodes for this element.

Definition at line 45 of file TriRule3.h.

n_base_nodes

const unsigned MeshLib::TriRule3::n_base_nodes = 3u

static

Constant: The number of base nodes for this element.

Definition at line 42 of file TriRule3.h.

n_edges

const unsigned MeshLib::TriRule3::n_edges = 3

static

Constant: The number of edges.

Definition at line 54 of file TriRule3.h.

n_neighbors

const unsigned MeshLib::TriRule3::n_neighbors = 3

static

Constant: The number of neighbors.

Definition at line 57 of file TriRule3.h.

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

• MeshLib/Elements/TriRule3.h
• MeshLib/Elements/TriRule3.cpp