DNDS::Geom::Elem::ElementTraits< Tri3 > Struct Reference

Element traits for 3-node linear triangle (Tri3) More...

#include <Tri3.hpp>

Collaboration diagram for DNDS::Geom::Elem::ElementTraits< Tri3 >:

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

Static Public Attributes
static constexpr ElemType	elemType = Tri3
static constexpr int	dim = 2
static constexpr int	order = 1
static constexpr int	numVertices = 3
static constexpr int	numNodes = 3
static constexpr int	numFaces = 3
static constexpr ParamSpace	paramSpace = TriSpace
static constexpr t_real	paramSpaceVol = 0.5
static constexpr std::array< t_real, 3 *3 >	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 = Tri6
	Element type after order elevation (O1 -> O2) Tri3 elevates to Tri6 (6-node quadratic triangle)
static constexpr int	numElevNodes = 3
	Number of additional nodes created during elevation (3 edge midpoints)
static constexpr std::array< tElevSpan, 3 >	elevSpans
	Elevation spans define edge midpoints.
static constexpr std::array< ElemType, 3 >	elevNodeSpanTypes = {Line2, Line2, Line2}
	Element type of each elevation span (all are Line2 edges)
static constexpr int	vtkCellType = 5
	VTK cell type identifier (5 = VTK_TRIANGLE)
static constexpr std::array< int, 3 >	vtkNodeOrder = {0, 1, 2}
	VTK node ordering map.

Detailed Description

Element traits for 3-node linear triangle (Tri3)

Tri3 is the simplest 2D element, commonly used for:

• Unstructured triangular meshes
• Simplex mesh generation
• Boundary layer regions requiring high aspect ratio cells

Geometry:

• Reference triangle with vertices at (0,0), (1,0), (0,1)
• Parametric space is a right triangle with area = 0.5

Faces:

• 3 edges, each is a Line2 element

Definition at line 77 of file Tri3.hpp.

Member Function Documentation

GetFaceType()

static constexpr ElemType DNDS::Geom::Elem::ElementTraits< Tri3 >::GetFaceType ( t_index  )

inlinestaticconstexpr

Get the element type of a face (edge)

Returns

Line2 (all edges of triangle are linear lines)

Definition at line 118 of file Tri3.hpp.

Member Data Documentation

dim

constexpr int DNDS::Geom::Elem::ElementTraits< Tri3 >::dim = 2

staticconstexpr

Definition at line 84 of file Tri3.hpp.

elemType

constexpr ElemType DNDS::Geom::Elem::ElementTraits< Tri3 >::elemType = Tri3

staticconstexpr

Definition at line 83 of file Tri3.hpp.

elevatedType

constexpr ElemType DNDS::Geom::Elem::ElementTraits< Tri3 >::elevatedType = Tri6

staticconstexpr

Element type after order elevation (O1 -> O2) Tri3 elevates to Tri6 (6-node quadratic triangle)

Definition at line 142 of file Tri3.hpp.

elevNodeSpanTypes

constexpr std::array<ElemType, 3> DNDS::Geom::Elem::ElementTraits< Tri3 >::elevNodeSpanTypes = {Line2, Line2, Line2}

staticconstexpr

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

Definition at line 161 of file Tri3.hpp.

elevSpans

constexpr std::array<tElevSpan, 3> DNDS::Geom::Elem::ElementTraits< Tri3 >::elevSpans

staticconstexpr

Initial value:

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

Elevation spans define edge midpoints.

Each new node is at the midpoint of an edge: Span 0: nodes {0, 1} -> edge 0 midpoint Span 1: nodes {1, 2} -> edge 1 midpoint Span 2: nodes {2, 0} -> edge 2 midpoint

Definition at line 155 of file Tri3.hpp.

faceNodes

constexpr std::array<std::array<t_index, 10>, 3> DNDS::Geom::Elem::ElementTraits< Tri3 >::faceNodes

staticconstexpr

Initial value:

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

Node indices for each face (edge)

Edge 0: nodes 0-1 (bottom edge along xi axis) Edge 1: nodes 1-2 (hypotenuse from (1,0) to (0,1)) Edge 2: nodes 2-0 (left edge along eta axis)

Note: Face normal direction follows right-hand rule.

Definition at line 129 of file Tri3.hpp.

numElevNodes

constexpr int DNDS::Geom::Elem::ElementTraits< Tri3 >::numElevNodes = 3

staticconstexpr

Number of additional nodes created during elevation (3 edge midpoints)

Definition at line 145 of file Tri3.hpp.

numFaces

constexpr int DNDS::Geom::Elem::ElementTraits< Tri3 >::numFaces = 3

staticconstexpr

Definition at line 88 of file Tri3.hpp.

numNodes

constexpr int DNDS::Geom::Elem::ElementTraits< Tri3 >::numNodes = 3

staticconstexpr

Definition at line 87 of file Tri3.hpp.

numVertices

constexpr int DNDS::Geom::Elem::ElementTraits< Tri3 >::numVertices = 3

staticconstexpr

Definition at line 86 of file Tri3.hpp.

order

constexpr int DNDS::Geom::Elem::ElementTraits< Tri3 >::order = 1

staticconstexpr

Definition at line 85 of file Tri3.hpp.

paramSpace

constexpr ParamSpace DNDS::Geom::Elem::ElementTraits< Tri3 >::paramSpace = TriSpace

staticconstexpr

Definition at line 89 of file Tri3.hpp.

paramSpaceVol

constexpr t_real DNDS::Geom::Elem::ElementTraits< Tri3 >::paramSpaceVol = 0.5

staticconstexpr

Definition at line 90 of file Tri3.hpp.

standardCoords

constexpr std::array<t_real, 3 * 3> DNDS::Geom::Elem::ElementTraits< Tri3 >::standardCoords

staticconstexpr

Initial value:

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

Standard coordinates of nodes in parametric space.

Node 0: (0, 0) - origin Node 1: (1, 0) - on xi axis Node 2: (0, 1) - on eta axis

Forms a right triangle covering half of the unit square.

Definition at line 105 of file Tri3.hpp.

vtkCellType

constexpr int DNDS::Geom::Elem::ElementTraits< Tri3 >::vtkCellType = 5

staticconstexpr

VTK cell type identifier (5 = VTK_TRIANGLE)

Definition at line 168 of file Tri3.hpp.

vtkNodeOrder

constexpr std::array<int, 3> DNDS::Geom::Elem::ElementTraits< Tri3 >::vtkNodeOrder = {0, 1, 2}

staticconstexpr

VTK node ordering map.

VTK uses the same ordering as DNDS for Tri3: VTK node 0 = DNDS node 0 VTK node 1 = DNDS node 1 VTK node 2 = DNDS node 2

Definition at line 178 of file Tri3.hpp.

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

• /home/runner/work/DNDSR/DNDSR/src/Geom/Elements/Tri3.hpp