DNDS::Geom::Elem::ElementTraits< Pyramid5 > Struct Reference

Element traits for 5-node linear pyramid (Pyramid5) More...

#include <Pyramid5.hpp>

Collaboration diagram for DNDS::Geom::Elem::ElementTraits< Pyramid5 >:

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

Static Public Attributes
static constexpr ElemType	elemType = Pyramid5
static constexpr int	dim = 3
static constexpr int	order = 1
static constexpr int	numVertices = 5
static constexpr int	numNodes = 5
static constexpr int	numFaces = 5
static constexpr ParamSpace	paramSpace = PyramidSpace
static constexpr t_real	paramSpaceVol = 4.0 / 3.0
static constexpr std::array< t_real, 3 *5 >	standardCoords
	Standard coordinates of nodes in parametric space.
static constexpr std::array< std::array< t_index, 10 >, 5 >	faceNodes
	Node indices for each face.
static constexpr ElemType	elevatedType = Pyramid14
	Element type after order elevation (O1 -> O2) Pyramid5 elevates to Pyramid14 (14-node quadratic pyramid)
static constexpr int	numElevNodes = 9
	Number of additional nodes created during elevation.
static constexpr std::array< tElevSpan, 9 >	elevSpans
	Elevation spans define new node connections.
static constexpr std::array< ElemType, 9 >	elevNodeSpanTypes
	Element type of each elevation span.
static constexpr int	vtkCellType = 14
	VTK cell type identifier (14 = VTK_PYRAMID)
static constexpr std::array< int, 5 >	vtkNodeOrder = {0, 1, 2, 3, 4}
	VTK node ordering map.

Detailed Description

Element traits for 5-node linear pyramid (Pyramid5)

Pyramid5 is a 3D pyramidal element with a quadrilateral base and triangular sides, commonly used for:

• Transition between hexahedral and tetrahedral meshes
• Octree-based mesh refinement
• Adaptive meshing with hanging nodes

Geometry:

• Reference pyramid: square base at z=0, apex at z=1
• 5 nodes: 4 at base corners, 1 at apex
• Parametric space volume = 4/3

Faces:

• 1 quadrilateral base face
• 4 triangular side faces

Definition at line 186 of file Pyramid5.hpp.

Member Function Documentation

GetFaceType()

static constexpr ElemType DNDS::Geom::Elem::ElementTraits< Pyramid5 >::GetFaceType ( t_index  iFace )

inlinestaticconstexpr

Get the element type of a face.

Parameters

iFace

Face index (0 is base, 1-4 are sides)

Returns

Quad4 for base, Tri3 for sides

Definition at line 228 of file Pyramid5.hpp.

Member Data Documentation

dim

constexpr int DNDS::Geom::Elem::ElementTraits< Pyramid5 >::dim = 3

staticconstexpr

Definition at line 193 of file Pyramid5.hpp.

elemType

constexpr ElemType DNDS::Geom::Elem::ElementTraits< Pyramid5 >::elemType = Pyramid5

staticconstexpr

Definition at line 192 of file Pyramid5.hpp.

elevatedType

constexpr ElemType DNDS::Geom::Elem::ElementTraits< Pyramid5 >::elevatedType = Pyramid14

staticconstexpr

Element type after order elevation (O1 -> O2) Pyramid5 elevates to Pyramid14 (14-node quadratic pyramid)

Definition at line 254 of file Pyramid5.hpp.

elevNodeSpanTypes

constexpr std::array<ElemType, 9> DNDS::Geom::Elem::ElementTraits< Pyramid5 >::elevNodeSpanTypes

staticconstexpr

Initial value:

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

Element type of each elevation span.

Definition at line 273 of file Pyramid5.hpp.

elevSpans

constexpr std::array<tElevSpan, 9> DNDS::Geom::Elem::ElementTraits< Pyramid5 >::elevSpans

staticconstexpr

Initial value:

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

Elevation spans define new node connections.

Elevation creates 9 new nodes: Spans 0-3: base edge midpoints (4 edges) Spans 4-7: lateral edge midpoints (4 edges) Span 8: base face center

Definition at line 267 of file Pyramid5.hpp.

faceNodes

constexpr std::array<std::array<t_index, 10>, 5> DNDS::Geom::Elem::ElementTraits< Pyramid5 >::faceNodes

staticconstexpr

Initial value:

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

Node indices for each face.

Face 0: nodes 0-3-2-1 (base, quadrilateral) Faces 1-4: triangular side faces

Definition at line 239 of file Pyramid5.hpp.

numElevNodes

constexpr int DNDS::Geom::Elem::ElementTraits< Pyramid5 >::numElevNodes = 9

staticconstexpr

Number of additional nodes created during elevation.

Definition at line 257 of file Pyramid5.hpp.

numFaces

constexpr int DNDS::Geom::Elem::ElementTraits< Pyramid5 >::numFaces = 5

staticconstexpr

Definition at line 197 of file Pyramid5.hpp.

numNodes

constexpr int DNDS::Geom::Elem::ElementTraits< Pyramid5 >::numNodes = 5

staticconstexpr

Definition at line 196 of file Pyramid5.hpp.

numVertices

constexpr int DNDS::Geom::Elem::ElementTraits< Pyramid5 >::numVertices = 5

staticconstexpr

Definition at line 195 of file Pyramid5.hpp.

order

constexpr int DNDS::Geom::Elem::ElementTraits< Pyramid5 >::order = 1

staticconstexpr

Definition at line 194 of file Pyramid5.hpp.

paramSpace

constexpr ParamSpace DNDS::Geom::Elem::ElementTraits< Pyramid5 >::paramSpace = PyramidSpace

staticconstexpr

Definition at line 198 of file Pyramid5.hpp.

paramSpaceVol

constexpr t_real DNDS::Geom::Elem::ElementTraits< Pyramid5 >::paramSpaceVol = 4.0 / 3.0

staticconstexpr

Definition at line 199 of file Pyramid5.hpp.

standardCoords

constexpr std::array<t_real, 3 * 5> DNDS::Geom::Elem::ElementTraits< Pyramid5 >::standardCoords

staticconstexpr

Initial value:

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

Standard coordinates of nodes in parametric space.

Reference pyramid: square base [-1,1]x[-1,1] at z=0, apex at (0,0,1) Nodes 0-3: base corners (counter-clockwise) Node 4: apex

Definition at line 212 of file Pyramid5.hpp.

vtkCellType

constexpr int DNDS::Geom::Elem::ElementTraits< Pyramid5 >::vtkCellType = 14

staticconstexpr

VTK cell type identifier (14 = VTK_PYRAMID)

Definition at line 283 of file Pyramid5.hpp.

vtkNodeOrder

constexpr std::array<int, 5> DNDS::Geom::Elem::ElementTraits< Pyramid5 >::vtkNodeOrder = {0, 1, 2, 3, 4}

staticconstexpr

VTK node ordering map.

VTK uses the same ordering as DNDS for Pyramid5: VTK nodes 0-3 = base corners 0-3 VTK node 4 = apex

Definition at line 292 of file Pyramid5.hpp.

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

• /home/runner/work/DNDSR/DNDSR/src/Geom/Elements/Pyramid5.hpp