Classes
struct	__TNBufferAtQuadrature

struct	Element

struct	ElementTraits

struct	ElementTraits< Hex27 >
	Element traits for 27-node triquadratic hexahedron (Hex27) More...

struct	ElementTraits< Hex8 >
	Element traits for 8-node trilinear hexahedron (Hex8) More...

struct	ElementTraits< Line2 >
	Element traits for 2-node linear line element (Line2) More...

struct	ElementTraits< Line3 >
	Element traits for 3-node quadratic line element (Line3) More...

struct	ElementTraits< Prism18 >
	Element traits for 18-node quadratic prism (Prism18) More...

struct	ElementTraits< Prism6 >
	Element traits for 6-node linear prism (Prism6) More...

struct	ElementTraits< Pyramid14 >
	Element traits for 14-node quadratic pyramid (Pyramid14) More...

struct	ElementTraits< Pyramid5 >
	Element traits for 5-node linear pyramid (Pyramid5) More...

struct	ElementTraits< Quad4 >
	Element traits for 4-node bilinear quadrilateral (Quad4) More...

struct	ElementTraits< Quad9 >
	Element traits for 9-node biquadratic quadrilateral (Quad9) More...

struct	ElementTraits< Tet10 >
	Element traits for 10-node quadratic tetrahedron (Tet10) More...

struct	ElementTraits< Tet4 >
	Element traits for 4-node linear tetrahedron (Tet4) More...

struct	ElementTraits< Tri3 >
	Element traits for 3-node linear triangle (Tri3) More...

struct	ElementTraits< Tri6 >
	Element traits for 6-node quadratic triangle (Tri6) More...

struct	Quadrature

struct	ShapeFuncImpl

struct	ShapeFuncImpl< Hex27 >

struct	ShapeFuncImpl< Hex8 >

struct	ShapeFuncImpl< Line2 >

struct	ShapeFuncImpl< Line3 >

struct	ShapeFuncImpl< Prism18 >

struct	ShapeFuncImpl< Prism6 >

struct	ShapeFuncImpl< Pyramid14 >

struct	ShapeFuncImpl< Pyramid5 >

struct	ShapeFuncImpl< Quad4 >

struct	ShapeFuncImpl< Quad9 >

struct	ShapeFuncImpl< Tet10 >

struct	ShapeFuncImpl< Tet4 >

struct	ShapeFuncImpl< Tri3 >

struct	ShapeFuncImpl< Tri6 >

class	SummationNoOp

Typedefs
using	tNj = Eigen::RowVector< t_real, Eigen::Dynamic >

using	tD1Nj = Eigen::Matrix< t_real, 3, Eigen::Dynamic >

using	tD01Nj = Eigen::Matrix< t_real, 4, Eigen::Dynamic >

using	tDiNj = Eigen::Matrix< t_real, Eigen::Dynamic, Eigen::Dynamic >

using	tPy_ElemType = py::enum_< ElemType >

using	tElevSpan = std::array< t_index, elevSpanMaxWidth >
	Elevation span type: array of parent node indices.

using	tBisectSub = std::array< t_index, bisectSubMaxNodes >
	Bisection sub-element node array type.

using	tVTKNodeOrder = std::array< int, vtkNodeOrderMax >
	VTK node ordering permutation array type.

Enumerations
enum	ElemType { UnknownElem = 0 , Line2 = 1 , Line3 = 8 , Tri3 = 2 , Tri6 = 9 , Quad4 = 3 , Quad9 = 10 , Tet4 = 4 , Tet10 = 11 , Hex8 = 5 , Hex27 = 12 , Prism6 = 6 , Prism18 = 13 , Pyramid5 = 7 , Pyramid14 = 14 , ElemType_NUM = 15 }

enum	ParamSpace { UnknownPSpace = 0 , LineSpace = 1 , TriSpace = 2 , QuadSpace = 3 , TetSpace = 4 , HexSpace = 5 , PrismSpace = 6 , PyramidSpace = 7 , ParamSpace_NUM = 8 }

Functions
Eigen::Matrix< t_real, 3, Eigen::Dynamic >	GetStandardCoord (ElemType t)

DNDS_DEVICE_CALLABLE constexpr ParamSpace	ElemType_to_ParamSpace (const ElemType t)

DNDS_DEVICE_CALLABLE constexpr ElemType	GetFaceType (ElemType t_v, t_index iFace)

DNDS_DEVICE_CALLABLE constexpr t_real	ParamSpaceVol (ParamSpace ps)

DNDS_DEVICE_CALLABLE constexpr int	GetElemElevation_O1O2_NumNode (ElemType t)

DNDS_DEVICE_CALLABLE constexpr ElemType	GetElemElevation_O1O2_ElevatedType (ElemType t)

DNDS_DEVICE_CALLABLE constexpr ElemType	GetElemElevation_O1O2_NodeSpanType (ElemType t, t_index ine)

DNDS_DEVICE_CALLABLE constexpr ElemType	GetElemO1 (ParamSpace ps)

DNDS_DEVICE_CALLABLE constexpr t_index	GetO2ElemBisectNum (ElemType t)

DNDS_DEVICE_CALLABLE constexpr ElemType	GetO2ElemBisectElem (ElemType t, t_index i)

template<int diffOrder, class TPoint , class TArray >
DNDS_DEVICE_CALLABLE void	ShapeFunc_DiNj (ElemType t, const TPoint &p, TArray &&v)
	Dispatch to per-element shape function code via ShapeFuncImpl<T>.

bool	cellsAreFaceConnected (const std::vector< DNDS::index > &nodes_A, const std::vector< DNDS::index > &nodes_B, Element eA, Element eB)

bool	cellsAreFaceConnected (const std::vector< DNDS::index > &verts_A, const std::vector< DNDS::index > &nodes_B)

template<class tCoordsIn >
tJacobi	ShapeJacobianCoordD01Nj (const tCoordsIn &cs, Eigen::Ref< const tD01Nj > DiNj)

template<class tCoordsIn >
tPoint	PPhysicsCoordD01Nj (const tCoordsIn &cs, Eigen::Ref< const tD01Nj > DiNj)

template<int dim>
real	JacobiDetFace (Eigen::Ref< const tJacobi > J)

tPoint	GetElemNodeMajorSpan (const tSmallCoords &coords)

t_index	GetO2ElemBisectVariant (Element e, const tSmallCoords &coords)

template<class TIn >
std::pair< int, std::vector< index > >	ToVTKVertsAndData (Element e, const TIn &vin)

void	pybind11_ElemType_define (py::module_ &m)

DNDS_DEVICE_CALLABLE constexpr t_real	ParamSpaceVolume (ParamSpace ps)
	Get the volume of a parametric space.

DNDS_DEVICE_CALLABLE constexpr ElemType	ParamSpaceO1Elem (ParamSpace ps)
	Get the order-1 (linear) element type for a parametric space.

template<typename Func >
DNDS_DEVICE_CALLABLE constexpr decltype(auto)	DispatchElementType (ElemType t, Func &&func)
	Static dispatch over element types at compile time.

auto	GetQuadPatches (Quadrature &q)

template<int dim>
real	CellJacobianDet (const Geom::tSmallCoords &coordsCell, const Geom::Elem::tD01Nj &DiNj)

real	CellJacobianDet (int dim, const Geom::tSmallCoords &coordsCell, const Geom::Elem::tD01Nj &DiNj)

template<int dim>
real	FaceJacobianDet (const Geom::tSmallCoords &coords, const Geom::Elem::tD01Nj &DiNj)

real	FaceJacobianDet (int dim, const Geom::tSmallCoords &coords, const Geom::Elem::tD01Nj &DiNj)

constexpr t_index	GetQuadratureScheme (ParamSpace ps, int int_order)

template<class TPoint >
void	GetQuadraturePoint (ParamSpace ps, t_index scheme, int iG, TPoint &pParam, t_real &w)

Typedef Documentation

◆ tBisectSub

using DNDS::Geom::Elem::tBisectSub = typedef std::array<t_index, bisectSubMaxNodes>

Bisection sub-element node array type.

Maps local node indices of a sub-element to parent element nodes. Used in adaptive mesh refinement to define child element connectivity.

Definition at line 85 of file ElementTraitsBase.hpp.

◆ tD01Nj

using DNDS::Geom::Elem::tD01Nj = typedef Eigen::Matrix<t_real, 4, Eigen::Dynamic>

Definition at line 183 of file Elements.hpp.

◆ tD1Nj

using DNDS::Geom::Elem::tD1Nj = typedef Eigen::Matrix<t_real, 3, Eigen::Dynamic>

Definition at line 182 of file Elements.hpp.

◆ tDiNj

using DNDS::Geom::Elem::tDiNj = typedef Eigen::Matrix<t_real, Eigen::Dynamic, Eigen::Dynamic>

Definition at line 184 of file Elements.hpp.

◆ tElevSpan

using DNDS::Geom::Elem::tElevSpan = typedef std::array<t_index, elevSpanMaxWidth>

Elevation span type: array of parent node indices.

Used to define which existing nodes define the position of a new node created during element order elevation.

Definition at line 69 of file ElementTraitsBase.hpp.

◆ tNj

using DNDS::Geom::Elem::tNj = typedef Eigen::RowVector<t_real, Eigen::Dynamic>

Definition at line 181 of file Elements.hpp.

◆ tPy_ElemType

using DNDS::Geom::Elem::tPy_ElemType = typedef py::enum_<ElemType>

Definition at line 10 of file Elements_bind.hpp.

◆ tVTKNodeOrder

using DNDS::Geom::Elem::tVTKNodeOrder = typedef std::array<int, vtkNodeOrderMax>

VTK node ordering permutation array type.

Maps DNDS node indices to VTK node indices: vtkNodeOrder[i] = VTK index of DNDS node i

Only first numNodes entries are valid; rest are padding.

Definition at line 103 of file ElementTraitsBase.hpp.

Enumeration Type Documentation

◆ ElemType

enum DNDS::Geom::Elem::ElemType

Enumerator
UnknownElem
Line2
Line3
Tri3
Tri6
Quad4
Quad9
Tet4
Tet10
Hex8
Hex27
Prism6
Prism18
Pyramid5
Pyramid14
ElemType_NUM

Definition at line 18 of file ElemEnum.hpp.

◆ ParamSpace

enum DNDS::Geom::Elem::ParamSpace

Enumerator
UnknownPSpace
LineSpace
TriSpace
QuadSpace
TetSpace
HexSpace
PrismSpace
PyramidSpace
ParamSpace_NUM

Definition at line 41 of file ElemEnum.hpp.

Function Documentation

◆ CellJacobianDet() [1/2]

template<int dim>

real DNDS::Geom::Elem::CellJacobianDet	(	const Geom::tSmallCoords &	coordsCell,
		const Geom::Elem::tD01Nj &	DiNj
	)

Definition at line 479 of file Quadrature.hpp.

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◆ CellJacobianDet() [2/2]

real DNDS::Geom::Elem::CellJacobianDet	(	int	dim,
		const Geom::tSmallCoords &	coordsCell,
		const Geom::Elem::tD01Nj &	DiNj
	)

inline

Definition at line 491 of file Quadrature.hpp.

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◆ cellsAreFaceConnected() [1/2]

bool DNDS::Geom::Elem::cellsAreFaceConnected	(	const std::vector< DNDS::index > &	nodes_A,
		const std::vector< DNDS::index > &	nodes_B,
		Element	eA,
		Element	eB
	)

inline

Definition at line 458 of file Elements.hpp.

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◆ cellsAreFaceConnected() [2/2]

bool DNDS::Geom::Elem::cellsAreFaceConnected	(	const std::vector< DNDS::index > &	verts_A,
		const std::vector< DNDS::index > &	nodes_B
	)

inline

Definition at line 482 of file Elements.hpp.

◆ DispatchElementType()

template<typename Func >

DNDS_DEVICE_CALLABLE constexpr decltype(auto) DNDS::Geom::Elem::DispatchElementType	(	ElemType	t,
		Func &&	func
	)

constexpr

Static dispatch over element types at compile time.

Template Parameters

Func	Callable type

Parameters

t	Element type enum
func	Callable to invoke with ElementTraits<t>

Returns: Return value of func(ElementTraits<t>{})

Usage: auto numNodes = DispatchElementType(elemType, [](auto traits) { return traits.numNodes; });

Definition at line 121 of file ElementTraits.hpp.

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◆ ElemType_to_ParamSpace()

DNDS_DEVICE_CALLABLE constexpr ParamSpace DNDS::Geom::Elem::ElemType_to_ParamSpace ( const ElemType t )

inlineconstexpr

Definition at line 65 of file Elements.hpp.

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◆ FaceJacobianDet() [1/2]

template<int dim>

real DNDS::Geom::Elem::FaceJacobianDet	(	const Geom::tSmallCoords &	coords,
		const Geom::Elem::tD01Nj &	DiNj
	)

Definition at line 500 of file Quadrature.hpp.

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◆ FaceJacobianDet() [2/2]

real DNDS::Geom::Elem::FaceJacobianDet	(	int	dim,
		const Geom::tSmallCoords &	coords,
		const Geom::Elem::tD01Nj &	DiNj
	)

inline

Definition at line 512 of file Quadrature.hpp.

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◆ GetElemElevation_O1O2_ElevatedType()

DNDS_DEVICE_CALLABLE constexpr ElemType DNDS::Geom::Elem::GetElemElevation_O1O2_ElevatedType ( ElemType t )

inlineconstexpr

Definition at line 88 of file Elements.hpp.

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◆ GetElemElevation_O1O2_NodeSpanType()

DNDS_DEVICE_CALLABLE constexpr ElemType DNDS::Geom::Elem::GetElemElevation_O1O2_NodeSpanType	(	ElemType	t,
		t_index	ine
	)

inlineconstexpr

Definition at line 94 of file Elements.hpp.

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◆ GetElemElevation_O1O2_NumNode()

DNDS_DEVICE_CALLABLE constexpr int DNDS::Geom::Elem::GetElemElevation_O1O2_NumNode ( ElemType t )

inlineconstexpr

Definition at line 82 of file Elements.hpp.

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◆ GetElemNodeMajorSpan()

tPoint DNDS::Geom::Elem::GetElemNodeMajorSpan ( const tSmallCoords & coords )

inline

Definition at line 513 of file Elements.hpp.

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◆ GetElemO1()

DNDS_DEVICE_CALLABLE constexpr ElemType DNDS::Geom::Elem::GetElemO1 ( ParamSpace ps )

inlineconstexpr

Definition at line 106 of file Elements.hpp.

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◆ GetFaceType()

DNDS_DEVICE_CALLABLE constexpr ElemType DNDS::Geom::Elem::GetFaceType	(	ElemType	t_v,
		t_index	iFace
	)

inlineconstexpr

Definition at line 71 of file Elements.hpp.

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◆ GetO2ElemBisectElem()

DNDS_DEVICE_CALLABLE constexpr ElemType DNDS::Geom::Elem::GetO2ElemBisectElem	(	ElemType	t,
		t_index	i
	)

inlineconstexpr

Definition at line 123 of file Elements.hpp.

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◆ GetO2ElemBisectNum()

DNDS_DEVICE_CALLABLE constexpr t_index DNDS::Geom::Elem::GetO2ElemBisectNum ( ElemType t )

inlineconstexpr

Definition at line 111 of file Elements.hpp.

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◆ GetO2ElemBisectVariant()

t_index DNDS::Geom::Elem::GetO2ElemBisectVariant	(	Element	e,
		const tSmallCoords &	coords
	)

inline

if serendipity ?

Definition at line 529 of file Elements.hpp.

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◆ GetQuadPatches()

auto DNDS::Geom::Elem::GetQuadPatches ( Quadrature & q )

inline

Definition at line 185 of file Quadrature.hpp.

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◆ GetQuadraturePoint()

template<class TPoint >

void DNDS::Geom::Elem::GetQuadraturePoint	(	ParamSpace	ps,
		t_index	scheme,
		int	iG,
		TPoint &	pParam,
		t_real &	w
	)

inline

Definition at line 186 of file QuadratureHub.hpp.

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◆ GetQuadratureScheme()

constexpr t_index DNDS::Geom::Elem::GetQuadratureScheme	(	ParamSpace	ps,
		int	int_order
	)

inlineconstexpr

Definition at line 37 of file QuadratureHub.hpp.

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◆ GetStandardCoord()

Eigen::Matrix< t_real, 3, Eigen::Dynamic > DNDS::Geom::Elem::GetStandardCoord ( ElemType t )

Definition at line 6 of file Elements.cpp.

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◆ JacobiDetFace()

template<int dim>

real DNDS::Geom::Elem::JacobiDetFace ( Eigen::Ref< const tJacobi > J )

Definition at line 503 of file Elements.hpp.

◆ ParamSpaceO1Elem()

DNDS_DEVICE_CALLABLE constexpr ElemType DNDS::Geom::Elem::ParamSpaceO1Elem ( ParamSpace ps )

constexpr

Get the order-1 (linear) element type for a parametric space.

Parameters

ps	Parametric space type

Returns: Element type enum (Line2, Tri3, Quad4, etc.)

Maps each parametric space to its corresponding linear element:

LineSpace -> Line2
TriSpace -> Tri3
QuadSpace -> Quad4
TetSpace -> Tet4
HexSpace -> Hex8
PrismSpace -> Prism6
PyramidSpace -> Pyramid5

Definition at line 89 of file ElementTraits.hpp.

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◆ ParamSpaceVol()

DNDS_DEVICE_CALLABLE constexpr t_real DNDS::Geom::Elem::ParamSpaceVol ( ParamSpace ps )

inlineconstexpr

Definition at line 77 of file Elements.hpp.

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◆ ParamSpaceVolume()

DNDS_DEVICE_CALLABLE constexpr t_real DNDS::Geom::Elem::ParamSpaceVolume ( ParamSpace ps )

constexpr

Get the volume of a parametric space.

Parameters

ps	Parametric space type

Returns: Volume (length for 1D, area for 2D, volume for 3D)

Returns the "size" of the reference element in parametric coordinates:

LineSpace: 2.0 (length from -1 to +1)
TriSpace: 0.5 (area of reference triangle)
QuadSpace: 4.0 (area of [-1,1] x [-1,1])
TetSpace: 1/6 (volume of reference tet)
HexSpace: 8.0 (volume of [-1,1]^3)
PrismSpace: 1.0 (volume of reference prism)
PyramidSpace: 4/3 (volume of reference pyramid)

Definition at line 60 of file ElementTraits.hpp.

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◆ PPhysicsCoordD01Nj()

template<class tCoordsIn >

tPoint DNDS::Geom::Elem::PPhysicsCoordD01Nj	(	const tCoordsIn &	cs,
		Eigen::Ref< const tD01Nj >	DiNj
	)

Definition at line 497 of file Elements.hpp.

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◆ pybind11_ElemType_define()

void DNDS::Geom::Elem::pybind11_ElemType_define ( py::module_ & m )

inline

Definition at line 12 of file Elements_bind.hpp.

◆ ShapeFunc_DiNj()

template<int diffOrder, class TPoint , class TArray >

DNDS_DEVICE_CALLABLE void DNDS::Geom::Elem::ShapeFunc_DiNj	(	ElemType	t,
		const TPoint &	p,
		TArray &&	v
	)

Dispatch to per-element shape function code via ShapeFuncImpl<T>.

Each ShapeFuncImpl specialization provides static Diff0..Diff3 methods. DispatchElementType (from ElementTraits.hpp) resolves the runtime ElemType to the correct compile-time specialization.

Definition at line 163 of file Elements.hpp.

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◆ ShapeJacobianCoordD01Nj()

template<class tCoordsIn >

tJacobi DNDS::Geom::Elem::ShapeJacobianCoordD01Nj	(	const tCoordsIn &	cs,
		Eigen::Ref< const tD01Nj >	DiNj
	)

Definition at line 491 of file Elements.hpp.

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◆ ToVTKVertsAndData()

template<class TIn >

std::pair< int, std::vector< index > > DNDS::Geom::Elem::ToVTKVertsAndData	(	Element	e,
		const TIn &	vin
	)

Definition at line 566 of file Elements.hpp.

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Classes

Typedefs

Enumerations

Functions

Typedef Documentation

◆ tBisectSub

◆ tD01Nj

◆ tD1Nj

◆ tDiNj

◆ tElevSpan

◆ tNj

◆ tPy_ElemType

◆ tVTKNodeOrder

Enumeration Type Documentation

◆ ElemType

◆ ParamSpace

Function Documentation

◆ CellJacobianDet() [1/2]

◆ CellJacobianDet() [2/2]

◆ cellsAreFaceConnected() [1/2]

◆ cellsAreFaceConnected() [2/2]

◆ DispatchElementType()

◆ ElemType_to_ParamSpace()

◆ FaceJacobianDet() [1/2]

◆ FaceJacobianDet() [2/2]

◆ GetElemElevation_O1O2_ElevatedType()

◆ GetElemElevation_O1O2_NodeSpanType()

◆ GetElemElevation_O1O2_NumNode()

◆ GetElemNodeMajorSpan()

◆ GetElemO1()

◆ GetFaceType()

◆ GetO2ElemBisectElem()

◆ GetO2ElemBisectNum()

◆ GetO2ElemBisectVariant()

◆ GetQuadPatches()

◆ GetQuadraturePoint()

◆ GetQuadratureScheme()

◆ GetStandardCoord()

◆ JacobiDetFace()

◆ ParamSpaceO1Elem()

◆ ParamSpaceVol()

◆ ParamSpaceVolume()

◆ PPhysicsCoordD01Nj()

◆ pybind11_ElemType_define()

◆ ShapeFunc_DiNj()

◆ ShapeJacobianCoordD01Nj()

◆ ToVTKVertsAndData()