Element traits for 10-node quadratic tetrahedron (Tet10) More...

#include <Tet10.hpp>

Collaboration diagram for DNDS::Geom::Elem::ElementTraits< Tet10 >:

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

static constexpr ElemType	GetBisectElemType (t_index)
	Get the element type of a sub-element after bisection.

Static Public Attributes
static constexpr ElemType	elemType = Tet10

static constexpr int	dim = 3

static constexpr int	order = 2

static constexpr int	numVertices = 4

static constexpr int	numNodes = 10

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 *10 >	standardCoords
	Standard coordinates of nodes in parametric space.

static constexpr std::array< std::array< t_index, 10 >, 4 >	faceNodes
	Node indices for each face (quadratic triangle)

static constexpr ElemType	elevatedType = UnknownElem
	Element type after order elevation (O2 has no higher elevation defined)

static constexpr int	numElevNodes = 0
	Number of additional nodes created during elevation (none for O2)

static constexpr int	numBisect = 8
	Number of sub-elements created when bisecting (8 Tet4 elements)

static constexpr int	numBisectVariants = 3
	Number of bisection variants (3 different diagonal choices)

static constexpr std::array< tBisectSub, 24 >	bisectElements
	Node indices for each sub-element created by bisection.

static constexpr int	vtkCellType = 24
	VTK cell type identifier (24 = VTK_QUADRATIC_TETRA)

static constexpr std::array< int, 10 >	vtkNodeOrder = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
	VTK node ordering map.

Detailed Description

Element traits for 10-node quadratic tetrahedron (Tet10)

Tet10 is a high-order 3D element with:

4 corner nodes (vertices)
6 edge mid-nodes

Used for high-order finite element methods requiring curved geometry representation.

Definition at line 135 of file Tet10.hpp.

Member Function Documentation

◆ GetBisectElemType()

static constexpr ElemType DNDS::Geom::Elem::ElementTraits< Tet10 >::GetBisectElemType ( t_index )

inlinestaticconstexpr

Get the element type of a sub-element after bisection.

Returns: Tet4 (all sub-elements are linear tets)

Definition at line 222 of file Tet10.hpp.

◆ GetFaceType()

static constexpr ElemType DNDS::Geom::Elem::ElementTraits< Tet10 >::GetFaceType ( t_index )

inlinestaticconstexpr

Get the element type of a face.

Returns: Tri6 (all faces are 6-node quadratic triangles)

Definition at line 180 of file Tet10.hpp.

Member Data Documentation

◆ bisectElements

constexpr std::array<tBisectSub, 24> DNDS::Geom::Elem::ElementTraits< Tet10 >::bisectElements

staticconstexpr

Initial value:

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

Node indices for each sub-element created by bisection.

3 variants x 8 sub-tets = 24 entries total. Each variant uses a different internal diagonal for subdivision.

Definition at line 230 of file Tet10.hpp.

◆ dim

constexpr int DNDS::Geom::Elem::ElementTraits< Tet10 >::dim = 3

staticconstexpr

Definition at line 142 of file Tet10.hpp.

◆ elemType

constexpr ElemType DNDS::Geom::Elem::ElementTraits< Tet10 >::elemType = Tet10

staticconstexpr

Definition at line 141 of file Tet10.hpp.

◆ elevatedType

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

staticconstexpr

Element type after order elevation (O2 has no higher elevation defined)

Definition at line 198 of file Tet10.hpp.

◆ faceNodes

constexpr std::array<std::array<t_index, 10>, 4> DNDS::Geom::Elem::ElementTraits< Tet10 >::faceNodes

staticconstexpr

Initial value:

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

Node indices for each face (quadratic triangle)

Each face has 6 nodes: 3 vertices + 3 edge midpoints

Definition at line 187 of file Tet10.hpp.

◆ numBisect

constexpr int DNDS::Geom::Elem::ElementTraits< Tet10 >::numBisect = 8

staticconstexpr

Number of sub-elements created when bisecting (8 Tet4 elements)

Definition at line 208 of file Tet10.hpp.

◆ numBisectVariants

constexpr int DNDS::Geom::Elem::ElementTraits< Tet10 >::numBisectVariants = 3

staticconstexpr

Number of bisection variants (3 different diagonal choices)

A tetrahedron can be bisected in multiple ways depending on which internal diagonal is chosen for subdivision.

Definition at line 216 of file Tet10.hpp.

◆ numElevNodes

constexpr int DNDS::Geom::Elem::ElementTraits< Tet10 >::numElevNodes = 0

staticconstexpr

Number of additional nodes created during elevation (none for O2)

Definition at line 201 of file Tet10.hpp.

◆ numFaces

constexpr int DNDS::Geom::Elem::ElementTraits< Tet10 >::numFaces = 4

staticconstexpr

Definition at line 146 of file Tet10.hpp.

◆ numNodes

constexpr int DNDS::Geom::Elem::ElementTraits< Tet10 >::numNodes = 10

staticconstexpr

Definition at line 145 of file Tet10.hpp.

◆ numVertices

constexpr int DNDS::Geom::Elem::ElementTraits< Tet10 >::numVertices = 4

staticconstexpr

Definition at line 144 of file Tet10.hpp.

◆ order

constexpr int DNDS::Geom::Elem::ElementTraits< Tet10 >::order = 2

staticconstexpr

Definition at line 143 of file Tet10.hpp.

◆ paramSpace

constexpr ParamSpace DNDS::Geom::Elem::ElementTraits< Tet10 >::paramSpace = TetSpace

staticconstexpr

Definition at line 147 of file Tet10.hpp.

◆ paramSpaceVol

constexpr t_real DNDS::Geom::Elem::ElementTraits< Tet10 >::paramSpaceVol = 1.0 / 6.0

staticconstexpr

Definition at line 148 of file Tet10.hpp.

◆ standardCoords

constexpr std::array<t_real, 3 * 10> DNDS::Geom::Elem::ElementTraits< Tet10 >::standardCoords

staticconstexpr

Initial value:

= {
            0,   0,   0,     
            1,   0,   0,     
            0,   1,   0,     
            0,   0,   1,     
            0.5, 0,   0,     
            0.5, 0.5, 0,     
            0,   0.5, 0,     
            0,   0,   0.5,   
            0.5, 0,   0.5,   
            0,   0.5, 0.5}

Standard coordinates of nodes in parametric space.

Nodes 0-3: vertices (same as Tet4) Nodes 4-9: edge midpoints

Definition at line 160 of file Tet10.hpp.

◆ vtkCellType

constexpr int DNDS::Geom::Elem::ElementTraits< Tet10 >::vtkCellType = 24

staticconstexpr

VTK cell type identifier (24 = VTK_QUADRATIC_TETRA)

Definition at line 264 of file Tet10.hpp.

◆ vtkNodeOrder

constexpr std::array<int, 10> DNDS::Geom::Elem::ElementTraits< Tet10 >::vtkNodeOrder = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

staticconstexpr

VTK node ordering map.

VTK uses the same ordering as DNDS for Tet10: VTK nodes 0-3 = corner nodes 0-3 VTK nodes 4-9 = edge mid-nodes 4-9

Definition at line 273 of file Tet10.hpp.

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

/home/runner/work/DNDSR/DNDSR/src/Geom/Elements/Tet10.hpp

Static Public Member Functions

Static Public Attributes

Detailed Description

Member Function Documentation

◆ GetBisectElemType()

◆ GetFaceType()

Member Data Documentation

◆ bisectElements

◆ dim

◆ elemType

◆ elevatedType

◆ faceNodes

◆ numBisect

◆ numBisectVariants

◆ numElevNodes

◆ numFaces

◆ numNodes

◆ numVertices

◆ order

◆ paramSpace

◆ paramSpaceVol

◆ standardCoords

◆ vtkCellType

◆ vtkNodeOrder