Element traits for 6-node quadratic triangle (Tri6) More...

#include <Tri6.hpp>

Collaboration diagram for DNDS::Geom::Elem::ElementTraits< Tri6 >:

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

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

Static Public Attributes
static constexpr ElemType	elemType = Tri6

static constexpr int	dim = 2

static constexpr int	order = 2

static constexpr int	numVertices = 3

static constexpr int	numNodes = 6

static constexpr int	numFaces = 3

static constexpr ParamSpace	paramSpace = TriSpace

static constexpr t_real	paramSpaceVol = 0.5

static constexpr std::array< t_real, 3 *6 >	standardCoords
	Standard coordinates of nodes in parametric space.

static constexpr std::array< std::array< t_index, 10 >, 3 >	faceNodes
	Node indices for each face (edge)

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 = 4
	Number of sub-elements created when bisecting (4 Tri3 elements)

static constexpr int	numBisectVariants = 1
	Number of bisection variants (only 1 way to uniformly bisect)

static constexpr std::array< tBisectSub, 4 >	bisectElements
	Node indices for each sub-element created by bisection.

static constexpr int	vtkCellType = 22
	VTK cell type identifier (22 = VTK_QUADRATIC_TRIANGLE)

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

Detailed Description

Element traits for 6-node quadratic triangle (Tri6)

Tri6 is a high-order 2D triangular element with:

3 corner nodes (vertices)
3 edge mid-nodes

Used for high-order finite element methods and curved boundary representation.

Definition at line 97 of file Tri6.hpp.

Member Function Documentation

◆ GetBisectElemType()

static constexpr ElemType DNDS::Geom::Elem::ElementTraits< Tri6 >::GetBisectElemType ( t_index )

inlinestaticconstexpr

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

Returns: Tri3 (all sub-elements are linear triangles)

Definition at line 178 of file Tri6.hpp.

◆ GetFaceType()

static constexpr ElemType DNDS::Geom::Elem::ElementTraits< Tri6 >::GetFaceType ( t_index )

inlinestaticconstexpr

Get the element type of a face (edge)

Returns: Line3 (all edges are quadratic lines with 3 nodes)

Definition at line 139 of file Tri6.hpp.

Member Data Documentation

◆ bisectElements

constexpr std::array<tBisectSub, 4> DNDS::Geom::Elem::ElementTraits< Tri6 >::bisectElements

staticconstexpr

Initial value:

= {{
            {0, 3, 5},     
            {3, 1, 4},     
            {5, 3, 4},     
            {5, 4, 2}}}

Node indices for each sub-element created by bisection.

Bisecting creates 4 sub-triangles by connecting edge midpoints: Sub-element 0: corner at node 0 Sub-element 1: corner at node 1 Sub-element 2: corner at node 2 Sub-element 3: center triangle

Definition at line 189 of file Tri6.hpp.

◆ dim

constexpr int DNDS::Geom::Elem::ElementTraits< Tri6 >::dim = 2

staticconstexpr

Definition at line 104 of file Tri6.hpp.

◆ elemType

constexpr ElemType DNDS::Geom::Elem::ElementTraits< Tri6 >::elemType = Tri6

staticconstexpr

Definition at line 103 of file Tri6.hpp.

◆ elevatedType

constexpr ElemType DNDS::Geom::Elem::ElementTraits< Tri6 >::elevatedType = UnknownElem

staticconstexpr

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

Definition at line 159 of file Tri6.hpp.

◆ faceNodes

constexpr std::array<std::array<t_index, 10>, 3> DNDS::Geom::Elem::ElementTraits< Tri6 >::faceNodes

staticconstexpr

Initial value:

= {{
            {0, 1, 3},     
            {1, 2, 4},     
            {2, 0, 5}}}

Node indices for each face (edge)

Each edge has 3 nodes: 2 vertices + 1 midpoint Edge 0: nodes 0-1-3 Edge 1: nodes 1-2-4 Edge 2: nodes 2-0-5

Definition at line 149 of file Tri6.hpp.

◆ numBisect

constexpr int DNDS::Geom::Elem::ElementTraits< Tri6 >::numBisect = 4

staticconstexpr

Number of sub-elements created when bisecting (4 Tri3 elements)

Definition at line 169 of file Tri6.hpp.

◆ numBisectVariants

constexpr int DNDS::Geom::Elem::ElementTraits< Tri6 >::numBisectVariants = 1

staticconstexpr

Number of bisection variants (only 1 way to uniformly bisect)

Definition at line 172 of file Tri6.hpp.

◆ numElevNodes

constexpr int DNDS::Geom::Elem::ElementTraits< Tri6 >::numElevNodes = 0

staticconstexpr

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

Definition at line 162 of file Tri6.hpp.

◆ numFaces

constexpr int DNDS::Geom::Elem::ElementTraits< Tri6 >::numFaces = 3

staticconstexpr

Definition at line 108 of file Tri6.hpp.

◆ numNodes

constexpr int DNDS::Geom::Elem::ElementTraits< Tri6 >::numNodes = 6

staticconstexpr

Definition at line 107 of file Tri6.hpp.

◆ numVertices

constexpr int DNDS::Geom::Elem::ElementTraits< Tri6 >::numVertices = 3

staticconstexpr

Definition at line 106 of file Tri6.hpp.

◆ order

constexpr int DNDS::Geom::Elem::ElementTraits< Tri6 >::order = 2

staticconstexpr

Definition at line 105 of file Tri6.hpp.

◆ paramSpace

constexpr ParamSpace DNDS::Geom::Elem::ElementTraits< Tri6 >::paramSpace = TriSpace

staticconstexpr

Definition at line 109 of file Tri6.hpp.

◆ paramSpaceVol

constexpr t_real DNDS::Geom::Elem::ElementTraits< Tri6 >::paramSpaceVol = 0.5

staticconstexpr

Definition at line 110 of file Tri6.hpp.

◆ standardCoords

constexpr std::array<t_real, 3 * 6> DNDS::Geom::Elem::ElementTraits< Tri6 >::standardCoords

staticconstexpr

Initial value:

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

Standard coordinates of nodes in parametric space.

Reference triangle with nodes: Nodes 0-2: vertices (same as Tri3) Nodes 3-5: edge midpoints

Definition at line 123 of file Tri6.hpp.

◆ vtkCellType

constexpr int DNDS::Geom::Elem::ElementTraits< Tri6 >::vtkCellType = 22

staticconstexpr

VTK cell type identifier (22 = VTK_QUADRATIC_TRIANGLE)

Definition at line 200 of file Tri6.hpp.

◆ vtkNodeOrder

constexpr std::array<int, 6> DNDS::Geom::Elem::ElementTraits< Tri6 >::vtkNodeOrder = {0, 1, 2, 3, 4, 5}

staticconstexpr

VTK node ordering map.

VTK uses the same ordering as DNDS for Tri6: VTK nodes 0-2 = corner nodes 0-2 VTK nodes 3-5 = edge mid-nodes 3-5

Definition at line 209 of file Tri6.hpp.

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

/home/runner/work/DNDSR/DNDSR/src/Geom/Elements/Tri6.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