Element traits for 14-node quadratic pyramid (Pyramid14) More...

#include <Pyramid14.hpp>

Collaboration diagram for DNDS::Geom::Elem::ElementTraits< Pyramid14 >:

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

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

Static Public Attributes
static constexpr ElemType	elemType = Pyramid14

static constexpr int	dim = 3

static constexpr int	order = 2

static constexpr int	numVertices = 5

static constexpr int	numNodes = 14

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 *14 >	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 = 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 = 12
	Number of sub-elements created when bisecting (12 sub-elements)

static constexpr int	numBisectVariants = 2
	Number of bisection variants (2 different diagonal choices)

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

static constexpr int	vtkCellType = 27
	VTK cell type identifier (27 = VTK_TRIQUADRATIC_PYRAMID)

static constexpr std::array< int, 13 >	vtkNodeOrder
	VTK node ordering map.

Detailed Description

Element traits for 14-node quadratic pyramid (Pyramid14)

Pyramid14 is a high-order 3D pyramidal element with:

5 corner nodes (4 base + 1 apex)
8 edge mid-nodes
1 base face center node

Used for high-order finite element methods with pyramidal elements.

Definition at line 671 of file Pyramid14.hpp.

Member Function Documentation

◆ GetBisectElemType()

static constexpr ElemType DNDS::Geom::Elem::ElementTraits< Pyramid14 >::GetBisectElemType ( t_index i )

inlinestaticconstexpr

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

Parameters

i	Sub-element index (first 4 are Pyramid5, remaining 8 are Tet4)

Returns: Pyramid5 for corner elements, Tet4 for internal elements

Definition at line 765 of file Pyramid14.hpp.

◆ GetFaceType()

static constexpr ElemType DNDS::Geom::Elem::ElementTraits< Pyramid14 >::GetFaceType ( t_index iFace )

inlinestaticconstexpr

Get the element type of a face.

Parameters

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

Returns: Quad9 for base, Tri6 for sides

Definition at line 717 of file Pyramid14.hpp.

Member Data Documentation

◆ bisectElements

constexpr std::array<tBisectSub, 24> DNDS::Geom::Elem::ElementTraits< Pyramid14 >::bisectElements

staticconstexpr

Initial value:

= {{
            
            {0, 5, 13, 8, 9},
            {5, 1, 6, 13, 10},
            {8, 13, 7, 3, 12},
            {13, 6, 2, 7, 11},
            {12, 9, 8, 13},
            {9, 10, 5, 13},
            {10, 11, 6, 13},
            {11, 12, 7, 13},
            {9, 11, 12, 4},
            {9, 10, 11, 4},
            {9, 11, 10, 13},
            {9, 12, 11, 13},
            
            {0, 5, 13, 8, 9},
            {5, 1, 6, 13, 10},
            {8, 13, 7, 3, 12},
            {13, 6, 2, 7, 11},
            {12, 9, 8, 13},
            {9, 10, 5, 13},
            {10, 11, 6, 13},
            {11, 12, 7, 13},
            {10, 12, 9, 4},
            {10, 11, 12, 4},
            {10, 12, 11, 13},
            {10, 9, 12, 13}}}

Node indices for each sub-element created by bisection.

2 variants x 12 sub-elements = 24 entries total. Each variant produces 4 corner pyramids and 8 internal tetrahedra.

Definition at line 776 of file Pyramid14.hpp.

◆ dim

constexpr int DNDS::Geom::Elem::ElementTraits< Pyramid14 >::dim = 3

staticconstexpr

Definition at line 678 of file Pyramid14.hpp.

◆ elemType

constexpr ElemType DNDS::Geom::Elem::ElementTraits< Pyramid14 >::elemType = Pyramid14

staticconstexpr

Definition at line 677 of file Pyramid14.hpp.

◆ elevatedType

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

staticconstexpr

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

Definition at line 740 of file Pyramid14.hpp.

◆ faceNodes

constexpr std::array<std::array<t_index, 10>, 5> DNDS::Geom::Elem::ElementTraits< Pyramid14 >::faceNodes

staticconstexpr

Initial value:

= {{
            {0, 3, 2, 1, 8, 7, 6, 5, 13},     
            {0, 1, 4, 5, 10, 9},              
            {1, 2, 4, 6, 11, 10},             
            {2, 3, 4, 7, 12, 11},             
            {3, 0, 4, 8, 9, 12}}}

Node indices for each face.

Base face has 9 nodes (4 vertices + 4 edge mids + 1 center) Side faces have 6 nodes (3 vertices + 3 edge mids)

Definition at line 728 of file Pyramid14.hpp.

◆ numBisect

constexpr int DNDS::Geom::Elem::ElementTraits< Pyramid14 >::numBisect = 12

staticconstexpr

Number of sub-elements created when bisecting (12 sub-elements)

Definition at line 750 of file Pyramid14.hpp.

◆ numBisectVariants

constexpr int DNDS::Geom::Elem::ElementTraits< Pyramid14 >::numBisectVariants = 2

staticconstexpr

Number of bisection variants (2 different diagonal choices)

The base can be bisected using different internal diagonal patterns, resulting in different sub-element configurations.

Definition at line 758 of file Pyramid14.hpp.

◆ numElevNodes

constexpr int DNDS::Geom::Elem::ElementTraits< Pyramid14 >::numElevNodes = 0

staticconstexpr

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

Definition at line 743 of file Pyramid14.hpp.

◆ numFaces

constexpr int DNDS::Geom::Elem::ElementTraits< Pyramid14 >::numFaces = 5

staticconstexpr

Definition at line 682 of file Pyramid14.hpp.

◆ numNodes

constexpr int DNDS::Geom::Elem::ElementTraits< Pyramid14 >::numNodes = 14

staticconstexpr

Definition at line 681 of file Pyramid14.hpp.

◆ numVertices

constexpr int DNDS::Geom::Elem::ElementTraits< Pyramid14 >::numVertices = 5

staticconstexpr

Definition at line 680 of file Pyramid14.hpp.

◆ order

constexpr int DNDS::Geom::Elem::ElementTraits< Pyramid14 >::order = 2

staticconstexpr

Definition at line 679 of file Pyramid14.hpp.

◆ paramSpace

constexpr ParamSpace DNDS::Geom::Elem::ElementTraits< Pyramid14 >::paramSpace = PyramidSpace

staticconstexpr

Definition at line 683 of file Pyramid14.hpp.

◆ paramSpaceVol

constexpr t_real DNDS::Geom::Elem::ElementTraits< Pyramid14 >::paramSpaceVol = 4.0 / 3.0

staticconstexpr

Definition at line 684 of file Pyramid14.hpp.

◆ standardCoords

constexpr std::array<t_real, 3 * 14> DNDS::Geom::Elem::ElementTraits< Pyramid14 >::standardCoords

staticconstexpr

Initial value:

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

Standard coordinates of nodes in parametric space.

Nodes 0-4: vertices (same as Pyramid5) Nodes 5-8: base edge midpoints Nodes 9-12: lateral edge midpoints Node 13: base face center

Definition at line 698 of file Pyramid14.hpp.

◆ vtkCellType

constexpr int DNDS::Geom::Elem::ElementTraits< Pyramid14 >::vtkCellType = 27

staticconstexpr

VTK cell type identifier (27 = VTK_TRIQUADRATIC_PYRAMID)

Definition at line 809 of file Pyramid14.hpp.

◆ vtkNodeOrder

constexpr std::array<int, 13> DNDS::Geom::Elem::ElementTraits< Pyramid14 >::vtkNodeOrder

staticconstexpr

Initial value:

= {
            0, 1, 2, 3, 4,       
            5, 6, 7, 8,          
            9, 10, 11, 12}

VTK node ordering map.

VTK uses 13 nodes for quadratic pyramid: VTK nodes 0-4 = vertices 0-4 VTK nodes 5-8 = base edge mids 5-8 VTK nodes 9-12 = lateral edge mids 9-12 Note: Base face center node 13 is not included in VTK ordering

Definition at line 820 of file Pyramid14.hpp.

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

/home/runner/work/DNDSR/DNDSR/src/Geom/Elements/Pyramid14.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