DNDS::Geom::Elem::ElementTraits< Quad4 > Struct Reference

Element traits for 4-node bilinear quadrilateral (Quad4) More...

#include <Quad4.hpp>

Collaboration diagram for DNDS::Geom::Elem::ElementTraits< Quad4 >:

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 = Quad4
static constexpr int	dim = 2
static constexpr int	order = 1
static constexpr int	numVertices = 4
static constexpr int	numNodes = 4
static constexpr int	numFaces = 4
static constexpr ParamSpace	paramSpace = QuadSpace
static constexpr t_real	paramSpaceVol = 4.0
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 (edge)
static constexpr ElemType	elevatedType = Quad9
	Element type after order elevation (O1 -> O2) Quad4 elevates to Quad9 (9-node biquadratic quad)
static constexpr int	numElevNodes = 5
	Number of additional nodes created during elevation.
static constexpr std::array< tElevSpan, 5 >	elevSpans
	Elevation spans define new node connections.
static constexpr std::array< ElemType, 5 >	elevNodeSpanTypes
	Element type of each elevation span.
static constexpr int	vtkCellType = 9
	VTK cell type identifier (9 = VTK_QUAD)
static constexpr std::array< int, 4 >	vtkNodeOrder = {0, 1, 2, 3}
	VTK node ordering map.

Detailed Description

Element traits for 4-node bilinear quadrilateral (Quad4)

Quad4 is the simplest 2D quadrilateral element, commonly used for:

• Structured and unstructured quadrilateral meshes
• Boundary-fitted grids
• Isoparametric mapping

Geometry:

• Reference quad: xi in [-1, 1], eta in [-1, 1]
• Nodes at the 4 corners of the reference square
• Parametric space area = 4.0

Faces:

• 4 edges, each is a Line2 element

Definition at line 96 of file Quad4.hpp.

Member Function Documentation

GetFaceType()

static constexpr ElemType DNDS::Geom::Elem::ElementTraits< Quad4 >::GetFaceType ( t_index  )

inlinestaticconstexpr

Get the element type of a face (edge)

Returns

Line2 (all edges of quad are linear lines)

Definition at line 138 of file Quad4.hpp.

Member Data Documentation

dim

constexpr int DNDS::Geom::Elem::ElementTraits< Quad4 >::dim = 2

staticconstexpr

Definition at line 103 of file Quad4.hpp.

elemType

constexpr ElemType DNDS::Geom::Elem::ElementTraits< Quad4 >::elemType = Quad4

staticconstexpr

Definition at line 102 of file Quad4.hpp.

elevatedType

constexpr ElemType DNDS::Geom::Elem::ElementTraits< Quad4 >::elevatedType = Quad9

staticconstexpr

Element type after order elevation (O1 -> O2) Quad4 elevates to Quad9 (9-node biquadratic quad)

Definition at line 162 of file Quad4.hpp.

elevNodeSpanTypes

constexpr std::array<ElemType, 5> DNDS::Geom::Elem::ElementTraits< Quad4 >::elevNodeSpanTypes

staticconstexpr

Initial value:

= {
            Line2, Line2, Line2, Line2,   
            Quad4}

Element type of each elevation span.

Definition at line 182 of file Quad4.hpp.

elevSpans

constexpr std::array<tElevSpan, 5> DNDS::Geom::Elem::ElementTraits< Quad4 >::elevSpans

staticconstexpr

Initial value:

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

Elevation spans define new node connections.

Elevation creates 5 new nodes: Spans 0-3: edge midpoints (4 nodes on edges) Span 4: body center (1 node connecting all 4 vertices)

Definition at line 174 of file Quad4.hpp.

faceNodes

constexpr std::array<std::array<t_index, 10>, 4> DNDS::Geom::Elem::ElementTraits< Quad4 >::faceNodes

staticconstexpr

Initial value:

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

Node indices for each face (edge)

Edge 0: nodes 0-1 (bottom edge) Edge 1: nodes 1-2 (right edge) Edge 2: nodes 2-3 (top edge) Edge 3: nodes 3-0 (left edge)

Definition at line 148 of file Quad4.hpp.

numElevNodes

constexpr int DNDS::Geom::Elem::ElementTraits< Quad4 >::numElevNodes = 5

staticconstexpr

Number of additional nodes created during elevation.

Definition at line 165 of file Quad4.hpp.

numFaces

constexpr int DNDS::Geom::Elem::ElementTraits< Quad4 >::numFaces = 4

staticconstexpr

Definition at line 107 of file Quad4.hpp.

numNodes

constexpr int DNDS::Geom::Elem::ElementTraits< Quad4 >::numNodes = 4

staticconstexpr

Definition at line 106 of file Quad4.hpp.

numVertices

constexpr int DNDS::Geom::Elem::ElementTraits< Quad4 >::numVertices = 4

staticconstexpr

Definition at line 105 of file Quad4.hpp.

order

constexpr int DNDS::Geom::Elem::ElementTraits< Quad4 >::order = 1

staticconstexpr

Definition at line 104 of file Quad4.hpp.

paramSpace

constexpr ParamSpace DNDS::Geom::Elem::ElementTraits< Quad4 >::paramSpace = QuadSpace

staticconstexpr

Definition at line 108 of file Quad4.hpp.

paramSpaceVol

constexpr t_real DNDS::Geom::Elem::ElementTraits< Quad4 >::paramSpaceVol = 4.0

staticconstexpr

Definition at line 109 of file Quad4.hpp.

standardCoords

constexpr std::array<t_real, 3 * 4> DNDS::Geom::Elem::ElementTraits< Quad4 >::standardCoords

staticconstexpr

Initial value:

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

Standard coordinates of nodes in parametric space.

Reference square [-1,1] x [-1,1] with nodes at corners: Node 0: (-1, -1) - bottom-left Node 1: ( 1, -1) - bottom-right Node 2: ( 1, 1) - top-right Node 3: (-1, 1) - top-left

Definition at line 124 of file Quad4.hpp.

vtkCellType

constexpr int DNDS::Geom::Elem::ElementTraits< Quad4 >::vtkCellType = 9

staticconstexpr

VTK cell type identifier (9 = VTK_QUAD)

Definition at line 191 of file Quad4.hpp.

vtkNodeOrder

constexpr std::array<int, 4> DNDS::Geom::Elem::ElementTraits< Quad4 >::vtkNodeOrder = {0, 1, 2, 3}

staticconstexpr

VTK node ordering map.

VTK uses the same ordering as DNDS for Quad4: VTK node 0 = DNDS node 0, VTK node 1 = DNDS node 1, etc.

Definition at line 199 of file Quad4.hpp.

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

• /home/runner/work/DNDSR/DNDSR/src/Geom/Elements/Quad4.hpp