Element traits for 18-node quadratic prism (Prism18) More...

#include <Prism18.hpp>

Collaboration diagram for DNDS::Geom::Elem::ElementTraits< Prism18 >:

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

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

Static Public Attributes
static constexpr ElemType	elemType = Prism18

static constexpr int	dim = 3

static constexpr int	order = 2

static constexpr int	numVertices = 6

static constexpr int	numNodes = 18

static constexpr int	numFaces = 5

static constexpr ParamSpace	paramSpace = PrismSpace

static constexpr t_real	paramSpaceVol = 1.0

static constexpr std::array< t_real, 3 *18 >	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 = 8
	O2 bisection: 8 sub-prisms created from one Prism18.

static constexpr int	numBisectVariants = 1
	Number of bisection variants (1 standard bisection pattern)

static constexpr std::array< tBisectSub, 8 >	bisectElements
	Sub-element connectivity after bisection.

static constexpr int	vtkCellType = 26
	VTK cell type identifier (26 = VTK_BIQUADRATIC_QUADRATIC_WEDGE)

static constexpr std::array< int, 15 >	vtkNodeOrder
	VTK node ordering map.

Detailed Description

Element traits for 18-node quadratic prism (Prism18)

Prism18 is a high-order 3D prismatic element with:

6 corner nodes (vertices)
9 edge mid-nodes
3 face center nodes (on quadrilateral faces)

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

Definition at line 412 of file Prism18.hpp.

Member Function Documentation

◆ GetBisectElemType()

static constexpr ElemType DNDS::Geom::Elem::ElementTraits< Prism18 >::GetBisectElemType ( t_index )

inlinestaticconstexpr

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

Returns: Prism6 (all sub-elements are linear prisms)

Definition at line 509 of file Prism18.hpp.

◆ GetFaceType()

static constexpr ElemType DNDS::Geom::Elem::ElementTraits< Prism18 >::GetFaceType ( t_index iFace )

inlinestaticconstexpr

Get the element type of a face.

Parameters

iFace Face index (0-2 are quads, 3-4 are triangles)

Returns: Quad9 for side faces, Tri6 for cap faces

Definition at line 462 of file Prism18.hpp.

Member Data Documentation

◆ bisectElements

constexpr std::array<tBisectSub, 8> DNDS::Geom::Elem::ElementTraits< Prism18 >::bisectElements

staticconstexpr

Initial value:

= {{
            {0, 6, 8, 9, 15, 17},      
            {6, 1, 7, 15, 10, 16},     
            {8, 6, 7, 17, 15, 16},     
            {8, 7, 2, 17, 16, 11},     
            {9, 15, 17, 3, 12, 14},    
            {15, 10, 16, 12, 4, 13},   
            {17, 15, 16, 14, 12, 13},  
            {17, 16, 11, 14, 13, 5}}}

Sub-element connectivity after bisection.

Each row defines one sub-prism using parent node indices. The 8 sub-prisms fill the volume of the original element.

Definition at line 517 of file Prism18.hpp.

◆ dim

constexpr int DNDS::Geom::Elem::ElementTraits< Prism18 >::dim = 3

staticconstexpr

Definition at line 419 of file Prism18.hpp.

◆ elemType

constexpr ElemType DNDS::Geom::Elem::ElementTraits< Prism18 >::elemType = Prism18

staticconstexpr

Definition at line 418 of file Prism18.hpp.

◆ elevatedType

constexpr ElemType DNDS::Geom::Elem::ElementTraits< Prism18 >::elevatedType = UnknownElem

staticconstexpr

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

Definition at line 485 of file Prism18.hpp.

◆ faceNodes

constexpr std::array<std::array<t_index, 10>, 5> DNDS::Geom::Elem::ElementTraits< Prism18 >::faceNodes

staticconstexpr

Initial value:

= {{
            {0, 1, 4, 3, 6, 10, 12, 9, 15},     
            {1, 2, 5, 4, 7, 11, 13, 10, 16},    
            {2, 0, 3, 5, 8, 9, 14, 11, 17},     
            {0, 2, 1, 8, 7, 6},                 
            {3, 4, 5, 9, 10, 11}}}

Node indices for each face.

Quadrilateral faces have 9 nodes (4 vertices + 4 edge mids + 1 center) Triangular faces have 6 nodes (3 vertices + 3 edge mids)

Definition at line 473 of file Prism18.hpp.

◆ numBisect

constexpr int DNDS::Geom::Elem::ElementTraits< Prism18 >::numBisect = 8

staticconstexpr

O2 bisection: 8 sub-prisms created from one Prism18.

Bisection splits the prism by connecting mid-edge nodes, creating 8 smaller linear prisms (Prism6 elements).

Definition at line 500 of file Prism18.hpp.

◆ numBisectVariants

constexpr int DNDS::Geom::Elem::ElementTraits< Prism18 >::numBisectVariants = 1

staticconstexpr

Number of bisection variants (1 standard bisection pattern)

Definition at line 503 of file Prism18.hpp.

◆ numElevNodes

constexpr int DNDS::Geom::Elem::ElementTraits< Prism18 >::numElevNodes = 0

staticconstexpr

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

Definition at line 488 of file Prism18.hpp.

◆ numFaces

constexpr int DNDS::Geom::Elem::ElementTraits< Prism18 >::numFaces = 5

staticconstexpr

Definition at line 423 of file Prism18.hpp.

◆ numNodes

constexpr int DNDS::Geom::Elem::ElementTraits< Prism18 >::numNodes = 18

staticconstexpr

Definition at line 422 of file Prism18.hpp.

◆ numVertices

constexpr int DNDS::Geom::Elem::ElementTraits< Prism18 >::numVertices = 6

staticconstexpr

Definition at line 421 of file Prism18.hpp.

◆ order

constexpr int DNDS::Geom::Elem::ElementTraits< Prism18 >::order = 2

staticconstexpr

Definition at line 420 of file Prism18.hpp.

◆ paramSpace

constexpr ParamSpace DNDS::Geom::Elem::ElementTraits< Prism18 >::paramSpace = PrismSpace

staticconstexpr

Definition at line 424 of file Prism18.hpp.

◆ paramSpaceVol

constexpr t_real DNDS::Geom::Elem::ElementTraits< Prism18 >::paramSpaceVol = 1.0

staticconstexpr

Definition at line 425 of file Prism18.hpp.

◆ standardCoords

constexpr std::array<t_real, 3 * 18> DNDS::Geom::Elem::ElementTraits< Prism18 >::standardCoords

staticconstexpr

Initial value:

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

Standard coordinates of nodes in parametric space.

Nodes 0-5: vertices (same as Prism6) Nodes 6-8: bottom triangle edge midpoints Nodes 9-11: vertical edge midpoints Nodes 12-14: top triangle edge midpoints Nodes 15-17: side quadrilateral face centers

Definition at line 440 of file Prism18.hpp.

◆ vtkCellType

constexpr int DNDS::Geom::Elem::ElementTraits< Prism18 >::vtkCellType = 26

staticconstexpr

VTK cell type identifier (26 = VTK_BIQUADRATIC_QUADRATIC_WEDGE)

Definition at line 532 of file Prism18.hpp.

◆ vtkNodeOrder

constexpr std::array<int, 15> DNDS::Geom::Elem::ElementTraits< Prism18 >::vtkNodeOrder

staticconstexpr

Initial value:

= {
            0, 1, 2, 3, 4, 5,       
            6, 7, 8,                
            12, 13, 14,             
            9, 10, 11}

VTK node ordering map.

VTK has non-trivial node reordering for Prism18: VTK nodes 0-5 = vertices 0-5 VTK nodes 6-8 = bottom triangle edge mids 6-8 VTK nodes 9-11 = top triangle edge mids 12-14 (note: reordered!) VTK nodes 12-14 = vertical edge mids 9-11 (note: reordered!) Note: Face center nodes 15-17 are not included in VTK ordering

Definition at line 544 of file Prism18.hpp.

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

/home/runner/work/DNDSR/DNDSR/src/Geom/Elements/Prism18.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