Element traits for 3-node quadratic line element (Line3) More...

#include <Line3.hpp>

Collaboration diagram for DNDS::Geom::Elem::ElementTraits< Line3 >:

Static Public Member Functions
static constexpr ElemType	GetFaceType (t_index)
	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 = Line3
	Element type enum value for static dispatch.

static constexpr int	dim = 1
	Spatial dimension (1 = line element)

static constexpr int	order = 2
	Polynomial order of shape functions (2 = quadratic)

static constexpr int	numVertices = 2
	Number of vertices (2 endpoints, same as linear)

static constexpr int	numNodes = 3
	Total number of nodes (3 nodes: 2 vertices + 1 midpoint)

static constexpr int	numFaces = 0
	Number of faces (0 for 1D element)

static constexpr ParamSpace	paramSpace = LineSpace
	Parametric space type (line space: xi in [-1, 1])

static constexpr t_real	paramSpaceVol = 2.0
	Volume of parametric space (length = 2.0)

static constexpr std::array< t_real, 3 *3 >	standardCoords
	Standard coordinates of nodes in parametric space.

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 = 2
	Number of sub-elements created when bisecting (2 Line2 elements)

static constexpr int	numBisectVariants = 1
	Number of bisection variants (only 1 way to bisect a line)

static constexpr std::array< tBisectSub, 2 >	bisectElements
	Node indices for each sub-element created by bisection.

static constexpr int	vtkCellType = 4
	VTK cell type identifier (4 = VTK_QUADRATIC_EDGE)

static constexpr std::array< int, 3 >	vtkNodeOrder = {0, 2, 1}
	VTK node ordering map.

Detailed Description

Element traits for 3-node quadratic line element (Line3)

Line3 is a 1D quadratic element with nodes at the endpoints and midpoint. Used as edge/face elements for 2D/3D high-order meshes.

Geometry:

Reference line: xi in [-1, 1]
Node 0 at xi = -1, Node 1 at xi = +1, Node 2 at xi = 0

Definition at line 70 of file Line3.hpp.

Member Function Documentation

◆ GetBisectElemType()

static constexpr ElemType DNDS::Geom::Elem::ElementTraits< Line3 >::GetBisectElemType ( t_index )

inlinestaticconstexpr

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

Parameters

i	Sub-element index (0 or 1)

Returns: Line2 (both sub-elements are linear lines)

Definition at line 153 of file Line3.hpp.

◆ GetFaceType()

static constexpr ElemType DNDS::Geom::Elem::ElementTraits< Line3 >::GetFaceType ( t_index )

inlinestaticconstexpr

Get the element type of a face.

Parameters

iFace Face index (unused for Line3 as it has no faces)

Returns: UnknownElem (1D elements don't have faces)

Definition at line 126 of file Line3.hpp.

Member Data Documentation

◆ bisectElements

constexpr std::array<tBisectSub, 2> DNDS::Geom::Elem::ElementTraits< Line3 >::bisectElements

staticconstexpr

Initial value:

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

Node indices for each sub-element created by bisection.

Bisecting a quadratic line at the midpoint creates 2 linear lines: Sub-element 0: nodes {0, 2} - left half Sub-element 1: nodes {2, 1} - right half

Definition at line 162 of file Line3.hpp.

◆ dim

constexpr int DNDS::Geom::Elem::ElementTraits< Line3 >::dim = 1

staticconstexpr

Spatial dimension (1 = line element)

Definition at line 80 of file Line3.hpp.

◆ elemType

constexpr ElemType DNDS::Geom::Elem::ElementTraits< Line3 >::elemType = Line3

staticconstexpr

Element type enum value for static dispatch.

Definition at line 77 of file Line3.hpp.

◆ elevatedType

constexpr ElemType DNDS::Geom::Elem::ElementTraits< Line3 >::elevatedType = UnknownElem

staticconstexpr

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

Definition at line 133 of file Line3.hpp.

◆ numBisect

constexpr int DNDS::Geom::Elem::ElementTraits< Line3 >::numBisect = 2

staticconstexpr

Number of sub-elements created when bisecting (2 Line2 elements)

Definition at line 143 of file Line3.hpp.

◆ numBisectVariants

constexpr int DNDS::Geom::Elem::ElementTraits< Line3 >::numBisectVariants = 1

staticconstexpr

Number of bisection variants (only 1 way to bisect a line)

Definition at line 146 of file Line3.hpp.

◆ numElevNodes

constexpr int DNDS::Geom::Elem::ElementTraits< Line3 >::numElevNodes = 0

staticconstexpr

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

Definition at line 136 of file Line3.hpp.

◆ numFaces

constexpr int DNDS::Geom::Elem::ElementTraits< Line3 >::numFaces = 0

staticconstexpr

Number of faces (0 for 1D element)

Definition at line 92 of file Line3.hpp.

◆ numNodes

constexpr int DNDS::Geom::Elem::ElementTraits< Line3 >::numNodes = 3

staticconstexpr

Total number of nodes (3 nodes: 2 vertices + 1 midpoint)

Definition at line 89 of file Line3.hpp.

◆ numVertices

constexpr int DNDS::Geom::Elem::ElementTraits< Line3 >::numVertices = 2

staticconstexpr

Number of vertices (2 endpoints, same as linear)

Definition at line 86 of file Line3.hpp.

◆ order

constexpr int DNDS::Geom::Elem::ElementTraits< Line3 >::order = 2

staticconstexpr

Polynomial order of shape functions (2 = quadratic)

Definition at line 83 of file Line3.hpp.

◆ paramSpace

constexpr ParamSpace DNDS::Geom::Elem::ElementTraits< Line3 >::paramSpace = LineSpace

staticconstexpr

Parametric space type (line space: xi in [-1, 1])

Definition at line 95 of file Line3.hpp.

◆ paramSpaceVol

constexpr t_real DNDS::Geom::Elem::ElementTraits< Line3 >::paramSpaceVol = 2.0

staticconstexpr

Volume of parametric space (length = 2.0)

Definition at line 98 of file Line3.hpp.

◆ standardCoords

constexpr std::array<t_real, 3 * 3> DNDS::Geom::Elem::ElementTraits< Line3 >::standardCoords

staticconstexpr

Initial value:

Standard coordinates of nodes in parametric space.

Format: {x, y, z} for each node. 3D coordinates for consistency. Node 0: xi = -1 -> (-1, 0, 0) - left endpoint Node 1: xi = +1 -> ( 1, 0, 0) - right endpoint Node 2: xi = 0 -> ( 0, 0, 0) - midpoint

Definition at line 112 of file Line3.hpp.

◆ vtkCellType

constexpr int DNDS::Geom::Elem::ElementTraits< Line3 >::vtkCellType = 4

staticconstexpr

VTK cell type identifier (4 = VTK_QUADRATIC_EDGE)

Definition at line 171 of file Line3.hpp.

◆ vtkNodeOrder

constexpr std::array<int, 3> DNDS::Geom::Elem::ElementTraits< Line3 >::vtkNodeOrder = {0, 2, 1}

staticconstexpr

VTK node ordering map.

VTK uses different ordering for quadratic edge: VTK node 0 = DNDS node 0 (endpoint) VTK node 1 = DNDS node 2 (midpoint) - note the swap! VTK node 2 = DNDS node 1 (endpoint)

Definition at line 181 of file Line3.hpp.

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

/home/runner/work/DNDSR/DNDSR/src/Geom/Elements/Line3.hpp

Static Public Member Functions

Static Public Attributes

Detailed Description

Member Function Documentation

◆ GetBisectElemType()

◆ GetFaceType()

Member Data Documentation

◆ bisectElements

◆ dim

◆ elemType

◆ elevatedType

◆ numBisect

◆ numBisectVariants

◆ numElevNodes

◆ numFaces

◆ numNodes

◆ numVertices

◆ order

◆ paramSpace

◆ paramSpaceVol

◆ standardCoords

◆ vtkCellType

◆ vtkNodeOrder