Implements the geometry of a triangle element. Geometry. More...

#include <pzgeotriangle.h>

Inheritance diagram for pzgeom::TPZGeoTriangle:

Collaboration diagram for pzgeom::TPZGeoTriangle:

Public Types
enum	{ NNodes }
	Number of corner nodes. More...

typedef pztopology::TPZTriangle	Top

Public Types inherited from pztopology::TPZTriangle
enum	{ NSides, NCornerNodes, Dimension, NFaces, NPermutations }
	Enumerate for topological characteristics. More...

typedef TPZIntTriang	IntruleType
	Typedef to numerical integration rule. More...

typedef TPZGraphElT2dMapped	GraphElType
	Typedef to graphical element type. More...

Public Member Functions
	TPZGeoTriangle (TPZVec< int64_t > &nodeindexes)
	Constructor with list of nodes. More...

	TPZGeoTriangle ()
	Empty constructor. More...

	TPZGeoTriangle (const TPZGeoTriangle &cp, std::map< int64_t, int64_t > &gl2lcNdMap)
	Constructor with node map. More...

	TPZGeoTriangle (const TPZGeoTriangle &cp)
	Copy constructor. More...

	TPZGeoTriangle (const TPZGeoTriangle &cp, TPZGeoMesh &)
	Copy constructor. More...

void	Jacobian (const TPZFMatrix< REAL > &coord, TPZVec< REAL > &param, TPZFMatrix< REAL > &jacobian, TPZFMatrix< REAL > &axes, REAL &detjac, TPZFMatrix< REAL > &jacinv)

int	ClassId () const override
	Define the class id associated with the class. More...

void	Read (TPZStream &buf, void *context) override
	read objects from the stream More...

void	Write (TPZStream &buf, int withclassid) const override
	Writes this object to the TPZStream buffer. Include the classid if withclassid = true. More...

Public Member Functions inherited from pzgeom::TPZNodeRep< 3, pztopology::TPZTriangle >
virtual void	SetNeighbourInfo (int side, TPZGeoElSide &neigh, TPZTransform<> &trans)

bool	IsLinearMapping () const

bool	IsGeoBlendEl () const

bool	ResetBlendConnectivity (const int64_t &side, const int64_t &index)

	TPZNodeRep (TPZVec< int64_t > &nodeindexes)
	Constructor with list of nodes. More...

	TPZNodeRep ()
	Empty constructor. More...

	TPZNodeRep (const TPZNodeRep &cp, std::map< int64_t, int64_t > &gl2lcNdMap)
	Constructor with node map. More...

	TPZNodeRep (const TPZNodeRep< N, pztopology::TPZTriangle > &cp)
	Copy constructor. More...

void	Read (TPZStream &buf, void *context) override

void	Write (TPZStream &buf, int withclassid) const override

void	Initialize (TPZVec< int64_t > &nodeindexes)

void	Initialize (TPZGeoEl *)

void	Print (std::ostream &out) const

int	ClassId () const override

Public Member Functions inherited from pztopology::TPZTriangle
	TPZTriangle ()
	Default constructor. More...

virtual	~TPZTriangle ()
	Default destructor. More...

Public Member Functions inherited from TPZSavable
	TPZSavable ()

virtual	~TPZSavable ()

virtual std::list< std::map< std::string, uint64_t > >	VersionHistory () const

virtual std::pair< std::string, uint64_t >	Version () const

virtual bool	Compare (TPZSavable *copy, bool override=false)
	Compares the object for identity with the object pointed to, eventually copy the object. More...

virtual bool	Compare (TPZSavable *copy, bool override=false) const
	Compares the object for identity with the object pointed to, eventually copy the object. More...

Public Member Functions inherited from TPZRegisterClassId
template<typename T >
	TPZRegisterClassId (int(T::*)() const)

	TPZRegisterClassId ()=default

Static Public Member Functions
static bool	IsLinearMapping (int side)

static std::string	TypeName ()
	Returns the type name of the element. More...

template<class T >
static void	X (const TPZFMatrix< REAL > &nodes, TPZVec< T > &loc, TPZVec< T > &x)

template<class T >
static void	GradX (const TPZFMatrix< REAL > &nodes, TPZVec< T > &loc, TPZFMatrix< T > &gradx)
	Compute gradient of x mapping from element nodes and local parametric coordinates. More...

static void	ComputeNormal (TPZVec< REAL > &p1, TPZVec< REAL > &p2, TPZVec< REAL > &p3, TPZVec< REAL > &result)
	Compute the jacoabina associated to the x mapping from local parametric coordinates. More...

static void	VectorialProduct (TPZVec< REAL > &v1, TPZVec< REAL > &v2, TPZVec< REAL > &result)

static void	InsertExampleElement (TPZGeoMesh &gmesh, int matid, TPZVec< REAL > &lowercorner, TPZVec< REAL > &size)
	create an example element based on the topology More...

Static Public Member Functions inherited from pztopology::TPZTriangle
static void	GetSideHDivPermutation (int transformationid, TPZVec< int > &permgather)
	Identifies the permutation of the nodes needed to make neighbouring elements compatible in terms of order of shape functions. More...

static constexpr REAL	RefElVolume ()
	Volume of the master element (measure) More...

static void	GetSideHDivDirections (TPZVec< int > &sides, TPZVec< int > &dir, TPZVec< int > &bilinearounao)

static void	GetSideHDivDirections (TPZVec< int > &sides, TPZVec< int > &dir, TPZVec< int > &bilinearounao, TPZVec< int > &sidevectors)

template<class TVar >
static void	ComputeHDivDirections (TPZFMatrix< TVar > &gradx, TPZFMatrix< TVar > &directions)
	Compute the directions of the HDiv vectors. More...

template<class TVar >
static void	ComputeHCurlDirections (TPZFMatrix< TVar > &gradx, TPZFMatrix< TVar > &directions, const TPZVec< int > &transformationIds)

template<class TVar >
static void	ComputeHCurlFaceDirections (TPZVec< TVar > &v1, TPZVec< TVar > &v2, int transformationId)

static int	NBilinearSides ()

static int	SideDimension (int side)
	Returns the dimension of the side. More...

static void	LowerDimensionSides (int side, TPZStack< int > &smallsides)
	Get all sides with lower dimension on side. More...

static void	LowerDimensionSides (int side, TPZStack< int > &smallsides, int DimTarget)
	Get all sides with lower dimension but equal to DimTarget on side. More...

static void	HigherDimensionSides (int side, TPZStack< int > &high)
	Returns all sides whose closure contains side. More...

static int	NSideNodes (int side)
	Returns the number of nodes (not connectivities) associated with a side. More...

static int	SideNodeLocId (int side, int node)
	Returns the local node number of the node "node" along side "side". More...

static int	NumSides ()
	Returns the number of connects of the element (7) More...

static int	NumSides (int dimension)
	Returns the number of connects for a set dimension. More...

static int	NContainedSides (int side)
	Returns the number of nodes (not connectivities) associated with a side. More...

static int	ContainedSideLocId (int side)
	Returns the local connect along side "side" especial for hdivspace. More...

static int	ContainedSideLocId (int side, int c)
	Returns the local connect number of the connect "c" along side "side". More...

static void	Shape (TPZVec< REAL > &loc, TPZFMatrix< REAL > &phi, TPZFMatrix< REAL > &dphi)
	Compute the shape being used to construct the x mapping from local parametric coordinates. More...

template<class T >
static void	TShape (const TPZVec< T > &loc, TPZFMatrix< T > &phi, TPZFMatrix< T > &dphi)
	Compute the shape being used to construct the x mapping from local parametric coordinates. More...

template<class T >
static void	BlendFactorForSide (const int &side, const TPZVec< T > &xi, T &blendFactor, TPZVec< T > &corrFactorDxi)

static void	CenterPoint (int side, TPZVec< REAL > &center)
	Returns the barycentric coordinates in the master element space of the original element. More...

static bool	IsInParametricDomain (const TPZVec< REAL > &pt, REAL tol=pztopology::gTolerance)
	Verifies if the parametric point pt is in the element parametric domain. More...

static void	RandomPoint (TPZVec< REAL > &pt)
	Generates a random point in the master domain. More...

template<class T >
static bool	CheckProjectionForSingularity (const int &side, const TPZVec< T > &xiInterior)

template<class T >
static void	MapToSide (int side, TPZVec< T > &InternalPar, TPZVec< T > &SidePar, TPZFMatrix< T > &JacToSide)

static void	ParametricDomainNodeCoord (int node, TPZVec< REAL > &nodeCoord)

static MElementType	Type ()
	Returns the type of the element as specified in file pzeltype.h. More...

static MElementType	Type (int side)
	Returns the type of the element as specified in file pzeltype.h. More...

static TPZTransform	SideToSideTransform (int sidefrom, int sideto)
	Returns the transformation which takes a point from the side sidefrom of the side sideto. More...

static TPZTransform	TransformSideToElement (int side)
	Returns the transformation which transform a point from the side to the interior of the element. More...

static TPZTransform	TransformElementToSide (int side)
	Returns the transformation which transform a point from the interior of the element to the side. More...

static int	GetTransformId (TPZVec< int64_t > &id)
	Method which identifies the transformation based on the IDs of the corner nodes. More...

static int	GetTransformId (int side, TPZVec< int64_t > &id)
	Method which identifies the transformation of a side based on the IDs of the corner nodes. More...

static void	GetHDivGatherPermute (int transformid, TPZVec< int > &permute)
	return the vector which permutes the connects according to the transformation id More...

static TPZIntPoints *	CreateSideIntegrationRule (int side, int order)
	Create an integration rule over side. More...

Static Public Member Functions inherited from TPZSavable
static std::set< TPZRestoreClassBase * > &	RestoreClassSet ()
	This static function guarantees that the gMap object is available when needed. More...

static std::map< int, TPZRestore_t > &	ClassIdMap ()
	This static function guarantees that the gMap object is available when needed. More...

static std::pair< std::string, uint64_t >	NeoPZVersion ()

static void	Register (TPZRestoreClassBase *restore)

static void	RegisterClassId (int classid, TPZRestore_t fun)

static TPZSavable *	CreateInstance (const int &classId)

Additional Inherited Members
Public Attributes inherited from pzgeom::TPZNodeRep< 3, pztopology::TPZTriangle >
int64_t	fNodeIndexes [N]
	Node indexes of the element. More...

Static Public Attributes inherited from pzgeom::TPZNodeRep< 3, pztopology::TPZTriangle >
static const int	NNodes

Static Public Attributes inherited from pztopology::TPZTriangle
static int	SideNodes [3][2]

static int	FaceNodes [1][3]

static REAL	gTrans2dT [6][2][2]

Static Protected Attributes inherited from pztopology::TPZTriangle
static int	fPermutations [6][7]
	Valid permutations between nodes. More...

static REAL	fTangentVectors [12][2]

Detailed Description

Implements the geometry of a triangle element. Geometry.

Definition at line 28 of file pzgeotriangle.h.

Member Typedef Documentation

◆ Top

typedef pztopology::TPZTriangle pzgeom::TPZGeoTriangle::Top

Definition at line 31 of file pzgeotriangle.h.

Member Enumeration Documentation

◆ anonymous enum

anonymous enum

Number of corner nodes.

Enumerator
NNodes

Definition at line 33 of file pzgeotriangle.h.

Constructor & Destructor Documentation

◆ TPZGeoTriangle() [1/5]

pzgeom::TPZGeoTriangle::TPZGeoTriangle ( TPZVec< int64_t > & nodeindexes )

inline

Constructor with list of nodes.

Definition at line 36 of file pzgeotriangle.h.

◆ TPZGeoTriangle() [2/5]

pzgeom::TPZGeoTriangle::TPZGeoTriangle ( )

inline

Empty constructor.

Definition at line 42 of file pzgeotriangle.h.

◆ TPZGeoTriangle() [3/5]

pzgeom::TPZGeoTriangle::TPZGeoTriangle	(	const TPZGeoTriangle &	cp,
		std::map< int64_t, int64_t > &	gl2lcNdMap
	)

inline

Constructor with node map.

Definition at line 48 of file pzgeotriangle.h.

◆ TPZGeoTriangle() [4/5]

pzgeom::TPZGeoTriangle::TPZGeoTriangle ( const TPZGeoTriangle & cp )

inline

Copy constructor.

Definition at line 55 of file pzgeotriangle.h.

◆ TPZGeoTriangle() [5/5]

pzgeom::TPZGeoTriangle::TPZGeoTriangle	(	const TPZGeoTriangle &	cp,
		TPZGeoMesh &
	)

inline

Copy constructor.

Definition at line 61 of file pzgeotriangle.h.

References Jacobian().

Member Function Documentation

◆ ClassId()

int pzgeom::TPZGeoTriangle::ClassId ( ) const

overridevirtual

Define the class id associated with the class.

This id has to be unique for all classes A non unique id is flagged at the startup of the program

Implements TPZSavable.

Reimplemented in pzgeom::TPZTriangleTorus.

Definition at line 173 of file pzgeotriangle.cpp.

References Hash().

Referenced by pzgeom::TPZTriangleTorus::ClassId(), and X().

◆ ComputeNormal()

void pzgeom::TPZGeoTriangle::ComputeNormal	(	TPZVec< REAL > &	p1,
		TPZVec< REAL > &	p2,
		TPZVec< REAL > &	p3,
		TPZVec< REAL > &	result
	)

static

Compute the jacoabina associated to the x mapping from local parametric coordinates.

Method which creates a geometric boundary condition element based on the current geometric element,
a side and a boundary condition numberImplementation of Hdiv space

Definition at line 84 of file pzgeotriangle.cpp.

Referenced by X().

◆ GradX()

template<class T >

void pzgeom::TPZGeoTriangle::GradX	(	const TPZFMatrix< REAL > &	nodes,
		TPZVec< T > &	loc,
		TPZFMatrix< T > &	gradx
	)

inlinestatic

Compute gradient of x mapping from element nodes and local parametric coordinates.

Definition at line 150 of file pzgeotriangle.h.

References TPZMatrix< TVar >::Cols(), DebugStop, TPZFMatrix< TVar >::GetVal(), NNodes, TPZFMatrix< TVar >::Resize(), TPZMatrix< TVar >::Rows(), pztopology::TPZTriangle::TShape(), and TPZFMatrix< TVar >::Zero().

Referenced by pzgeom::TPZTriangleTorus::GradX(), and X().

◆ InsertExampleElement()

void pzgeom::TPZGeoTriangle::InsertExampleElement	(	TPZGeoMesh &	gmesh,
		int	matid,
		TPZVec< REAL > &	lowercorner,
		TPZVec< REAL > &	size
	)

static

create an example element based on the topology

Creates a geometric element according to the type of the father element

Definition at line 152 of file pzgeotriangle.cpp.

References TPZAdmChunkVector< T, EXP >::AllocateNewElement(), co, TPZGeoMesh::CreateGeoElement(), ETriangle, and TPZGeoMesh::NodeVec().

Referenced by X().

◆ IsLinearMapping()

static bool pzgeom::TPZGeoTriangle::IsLinearMapping ( int side )

inlinestatic

Definition at line 69 of file pzgeotriangle.h.

◆ Jacobian()

void pzgeom::TPZGeoTriangle::Jacobian	(	const TPZFMatrix< REAL > &	coord,
		TPZVec< REAL > &	param,
		TPZFMatrix< REAL > &	jacobian,
		TPZFMatrix< REAL > &	axes,
		REAL &	detjac,
		TPZFMatrix< REAL > &	jacinv
	)