DNDS::Geom::Elem::ElementTraits< Tet4 > Struct Reference

Element traits for 4-node linear tetrahedron (Tet4) More...

#include <Tet4.hpp>

Collaboration diagram for DNDS::Geom::Elem::ElementTraits< Tet4 >:

Static Public Member Functions
static constexpr ElemType	GetFaceType (t_index)
	Get the element type of a face.

Static Public Attributes
static constexpr ElemType	elemType = Tet4
static constexpr int	dim = 3
static constexpr int	order = 1
static constexpr int	numVertices = 4
static constexpr int	numNodes = 4
static constexpr int	numFaces = 4
static constexpr ParamSpace	paramSpace = TetSpace
static constexpr t_real	paramSpaceVol = 1.0 / 6.0
static constexpr std::array< t_real, 3 *4 >	standardCoords
	Standard coordinates of nodes in parametric space.
static constexpr std::array< std::array< t_index, 10 >, 4 >	faceNodes
	Node indices for each face (triangular face)
static constexpr ElemType	elevatedType = Tet10
	Element type after order elevation (O1 -> O2) Tet4 elevates to Tet10 (10-node quadratic tetrahedron)
static constexpr int	numElevNodes = 6
	Number of additional nodes created during elevation (6 edge midpoints)
static constexpr std::array< tElevSpan, 6 >	elevSpans
	Elevation spans define edge midpoints.
static constexpr std::array< ElemType, 6 >	elevNodeSpanTypes
	Element type of each elevation span (all are Line2 edges)
static constexpr int	vtkCellType = 10
	VTK cell type identifier (10 = VTK_TETRA)
static constexpr std::array< int, 4 >	vtkNodeOrder = {0, 1, 2, 3}
	VTK node ordering map.

Detailed Description

Element traits for 4-node linear tetrahedron (Tet4)

Tet4 is the simplest 3D element, commonly used for:

• Unstructured tetrahedral meshes
• Automatic mesh generation
• Complex geometry representation

Geometry:

• Reference tetrahedron with vertices at (0,0,0), (1,0,0), (0,1,0), (0,0,1)
• Parametric space volume = 1/6

Faces:

• 4 triangular faces, each is a Tri3 element

Definition at line 84 of file Tet4.hpp.

Member Function Documentation

GetFaceType()

static constexpr ElemType DNDS::Geom::Elem::ElementTraits< Tet4 >::GetFaceType ( t_index  )

inlinestaticconstexpr

Get the element type of a face.

Returns

Tri3 (all faces of tet are triangles)

Definition at line 126 of file Tet4.hpp.

Member Data Documentation

dim

constexpr int DNDS::Geom::Elem::ElementTraits< Tet4 >::dim = 3

staticconstexpr

Definition at line 91 of file Tet4.hpp.

elemType

constexpr ElemType DNDS::Geom::Elem::ElementTraits< Tet4 >::elemType = Tet4

staticconstexpr

Definition at line 90 of file Tet4.hpp.

elevatedType

constexpr ElemType DNDS::Geom::Elem::ElementTraits< Tet4 >::elevatedType = Tet10

staticconstexpr

Element type after order elevation (O1 -> O2) Tet4 elevates to Tet10 (10-node quadratic tetrahedron)

Definition at line 152 of file Tet4.hpp.

elevNodeSpanTypes

constexpr std::array<ElemType, 6> DNDS::Geom::Elem::ElementTraits< Tet4 >::elevNodeSpanTypes

staticconstexpr

Initial value:

= {
            Line2, Line2, Line2, Line2, Line2, Line2}

Element type of each elevation span (all are Line2 edges)

Definition at line 173 of file Tet4.hpp.

elevSpans

constexpr std::array<tElevSpan, 6> DNDS::Geom::Elem::ElementTraits< Tet4 >::elevSpans

staticconstexpr

Initial value:

= {{
            {0, 1},     
            {1, 2},     
            {2, 0},     
            {0, 3},     
            {1, 3},     
            {2, 3}}}

Elevation spans define edge midpoints.

Each new node is at the midpoint of an edge: Span 0-2: edges of base triangle Span 3-5: edges connecting apex to base vertices

Definition at line 164 of file Tet4.hpp.

faceNodes

constexpr std::array<std::array<t_index, 10>, 4> DNDS::Geom::Elem::ElementTraits< Tet4 >::faceNodes

staticconstexpr

Initial value:

= {{
            {0, 2, 1},     
            {0, 1, 3},     
            {1, 2, 3},     
            {2, 0, 3}}}

Node indices for each face (triangular face)

Face 0: nodes 0-2-1 (bottom face, z=0) Face 1: nodes 0-1-3 (side face, y=0) Face 2: nodes 1-2-3 (side face, x=0 is opposite) Face 3: nodes 2-0-3 (side face, x=0)

Note: Node ordering follows right-hand rule for outward normals.

Definition at line 138 of file Tet4.hpp.

numElevNodes

constexpr int DNDS::Geom::Elem::ElementTraits< Tet4 >::numElevNodes = 6

staticconstexpr

Number of additional nodes created during elevation (6 edge midpoints)

Definition at line 155 of file Tet4.hpp.

numFaces

constexpr int DNDS::Geom::Elem::ElementTraits< Tet4 >::numFaces = 4

staticconstexpr

Definition at line 95 of file Tet4.hpp.

numNodes

constexpr int DNDS::Geom::Elem::ElementTraits< Tet4 >::numNodes = 4

staticconstexpr

Definition at line 94 of file Tet4.hpp.

numVertices

constexpr int DNDS::Geom::Elem::ElementTraits< Tet4 >::numVertices = 4

staticconstexpr

Definition at line 93 of file Tet4.hpp.

order

constexpr int DNDS::Geom::Elem::ElementTraits< Tet4 >::order = 1

staticconstexpr

Definition at line 92 of file Tet4.hpp.

paramSpace

constexpr ParamSpace DNDS::Geom::Elem::ElementTraits< Tet4 >::paramSpace = TetSpace

staticconstexpr

Definition at line 96 of file Tet4.hpp.

paramSpaceVol

constexpr t_real DNDS::Geom::Elem::ElementTraits< Tet4 >::paramSpaceVol = 1.0 / 6.0

staticconstexpr

Definition at line 97 of file Tet4.hpp.

standardCoords

constexpr std::array<t_real, 3 * 4> DNDS::Geom::Elem::ElementTraits< Tet4 >::standardCoords

staticconstexpr

Initial value:

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

Standard coordinates of nodes in parametric space.

Reference tetrahedron with nodes at: Node 0: (0, 0, 0) - origin Node 1: (1, 0, 0) - on x-axis Node 2: (0, 1, 0) - on y-axis Node 3: (0, 0, 1) - on z-axis

Definition at line 112 of file Tet4.hpp.

vtkCellType

constexpr int DNDS::Geom::Elem::ElementTraits< Tet4 >::vtkCellType = 10

staticconstexpr

VTK cell type identifier (10 = VTK_TETRA)

Definition at line 181 of file Tet4.hpp.

vtkNodeOrder

constexpr std::array<int, 4> DNDS::Geom::Elem::ElementTraits< Tet4 >::vtkNodeOrder = {0, 1, 2, 3}

staticconstexpr

VTK node ordering map.

VTK uses the same ordering as DNDS for Tet4: VTK node 0 = DNDS node 0, VTK node 1 = DNDS node 1, etc.

Definition at line 189 of file Tet4.hpp.

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The documentation for this struct was generated from the following file:

• /home/runner/work/DNDSR/DNDSR/src/Geom/Elements/Tet4.hpp