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

#include <pzgeoquad.h>

Inheritance diagram for pzgeom::TPZGeoQuad:

Collaboration diagram for pzgeom::TPZGeoQuad:

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

typedef pztopology::TPZQuadrilateral	Top

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

enum	EHdivType { HdivConform, HdivFull }

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

typedef TPZGraphElQ2dd	GraphElType
	Typedef to graphical element type. More...

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

	TPZGeoQuad ()
	Empty constructor. More...

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

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

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

int	ClassId () const override
	Creates a geometric element according to the type of the father element. 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< 4, pztopology::TPZQuadrilateral >
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::TPZQuadrilateral > &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::TPZQuadrilateral
	TPZQuadrilateral ()
	Default constructor. More...

virtual	~TPZQuadrilateral ()
	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)
	Compute x mapping from element nodes and local parametric coordinates. More...

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	VectorialProduct (TPZVec< REAL > &v1, TPZVec< REAL > &v2, TPZVec< REAL > &result)
	Method which creates a geometric boundary condition element based on the current geometric element, a side and a boundary condition number. More...

static void	ComputeNormal (TPZVec< REAL > &p1, TPZVec< REAL > &p2, TPZVec< REAL > &p3, TPZVec< REAL > &result)
	Computes normal vector to plane determinated by three points. More...

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::TPZQuadrilateral
static void	GetSideHDivPermutation (int transformid, 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	ComputeDirections (int is, TPZFMatrix< REAL > &gradx, TPZFMatrix< REAL > &directions, TPZVec< int > &sidevectors)

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 void	SetHdivType (EHdivType val)

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)
	return the number of vertices (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 number of sides of the element (9) More...

static int	NumSides (int dimension)
	return the number of sides of a given dimension More...

static int	NContainedSides (int side)
	return the number of sides contained in the closure of a side More...

static int	ContainedSideLocId (int side, int c)
	returns the local side number of the side "c" contained in the closure of 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 side 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 to 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	GetGatherPermute (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< 4, pztopology::TPZQuadrilateral >
int64_t	fNodeIndexes [N]
	Node indexes of the element. More...

Static Public Attributes inherited from pzgeom::TPZNodeRep< 4, pztopology::TPZQuadrilateral >
static const int	NNodes

Static Protected Attributes inherited from pztopology::TPZQuadrilateral
static int	fPermutations [8][9]
	Valid permutations between nodes. More...

static REAL	fTangentVectors [16][2]

static int	FaceNodes [1][4]

static int	SideNodes [4][2]

Detailed Description

Implements the geometry of a quadrilateral element. Geometry.

Definition at line 26 of file pzgeoquad.h.

Member Typedef Documentation

◆ Top

typedef pztopology::TPZQuadrilateral pzgeom::TPZGeoQuad::Top

Definition at line 29 of file pzgeoquad.h.

Member Enumeration Documentation

◆ anonymous enum

anonymous enum

Number of corner nodes.

Enumerator
NNodes

Definition at line 31 of file pzgeoquad.h.

Constructor & Destructor Documentation

◆ TPZGeoQuad() [1/5]

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

inline

Constructor with list of nodes.

Definition at line 34 of file pzgeoquad.h.

◆ TPZGeoQuad() [2/5]

pzgeom::TPZGeoQuad::TPZGeoQuad ( )

inline

Empty constructor.

Definition at line 40 of file pzgeoquad.h.

◆ TPZGeoQuad() [3/5]

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

inline

Constructor with node map.

Definition at line 46 of file pzgeoquad.h.

◆ TPZGeoQuad() [4/5]

pzgeom::TPZGeoQuad::TPZGeoQuad ( const TPZGeoQuad & cp )

inline

Copy constructor.

Definition at line 53 of file pzgeoquad.h.

◆ TPZGeoQuad() [5/5]

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

inline

Copy constructor.

Definition at line 59 of file pzgeoquad.h.

Member Function Documentation

◆ ClassId()

int pzgeom::TPZGeoQuad::ClassId ( ) const

overridevirtual

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

Implements TPZSavable.

Reimplemented in pzgeom::TPZQuadTorus.

Definition at line 118 of file pzgeoquad.cpp.

References Hash().

Referenced by pzgeom::TPZQuadTorus::ClassId(), and TypeName().

◆ ComputeNormal()

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

static

Computes normal vector to plane determinated by three points.

Definition at line 36 of file pzgeoquad.cpp.

Referenced by TypeName().

◆ GradX()

template<class T >

void pzgeom::TPZGeoQuad::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 144 of file pzgeoquad.h.

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

Referenced by pzgeom::TPZQuadTorus::GradX(), and TypeName().

◆ InsertExampleElement()

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

static

create an example element based on the topology

Definition at line 90 of file pzgeoquad.cpp.

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

Referenced by TypeName().

◆ IsLinearMapping()

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

inlinestatic

Definition at line 64 of file pzgeoquad.h.

◆ Read()

void pzgeom::TPZGeoQuad::Read	(	TPZStream &	buf,
		void *	context
	)

overridevirtual

read objects from the stream

Reimplemented from TPZSavable.

Reimplemented in pzgeom::TPZQuadTorus.

Definition at line 122 of file pzgeoquad.cpp.

Referenced by pzgeom::TPZQuadTorus::Read(), and TypeName().

◆ TypeName()

static std::string pzgeom::TPZGeoQuad::TypeName ( )

inlinestatic

Returns the type name of the element.

Definition at line 70 of file pzgeoquad.h.

References ClassId(), ComputeNormal(), GradX(), InsertExampleElement(), Read(), VectorialProduct(), Write(), and X().

◆ VectorialProduct()

void pzgeom::TPZGeoQuad::VectorialProduct	(	TPZVec< REAL > &	v1,
		TPZVec< REAL > &	v2,
		TPZVec< REAL > &	result
	)

static

Method which creates a geometric boundary condition element based on the current geometric element,
a side and a boundary condition number.

Implementation of normal vector to Hdiv space construct the normal vector for element HdivComputes the vecorial product of the two vectors

Definition at line 23 of file pzgeoquad.cpp.

References TPZVec< T >::NElements(), and TPZVec< T >::Resize().

Referenced by TypeName().

◆ Write()

void pzgeom::TPZGeoQuad::Write	(	TPZStream &	buf,
		int	withclassid
	)		const

overridevirtual

Writes this object to the TPZStream buffer. Include the classid if withclassid = true.

Writes this object to the TPZStream buffer. Include the classid if withclassid = true

Reimplemented from TPZSavable.

Reimplemented in pzgeom::TPZQuadTorus.

Definition at line 126 of file pzgeoquad.cpp.

Referenced by TypeName(), and pzgeom::TPZQuadTorus::Write().

◆ X()

template<class T >

void pzgeom::TPZGeoQuad::X	(	const TPZFMatrix< REAL > &	nodes,
		TPZVec< T > &	loc,
		TPZVec< T > &	x
	)

inlinestatic

Compute x mapping from element nodes and local parametric coordinates.

Definition at line 127 of file pzgeoquad.h.

References TPZFMatrix< TVar >::GetVal(), NNodes, TPZMatrix< TVar >::Rows(), and pztopology::TPZQuadrilateral::TShape().

Referenced by pzgeom::TPZQuadTorus::GradX(), TypeName(), and pzgeom::TPZQuadTorus::X().

The documentation for this class was generated from the following files:

Geom/pzgeoquad.h
Geom/pzgeoquad.cpp

Public Types

Public Member Functions

Static Public Member Functions

Additional Inherited Members

Detailed Description

Member Typedef Documentation

◆ Top

Member Enumeration Documentation

◆ anonymous enum

Constructor & Destructor Documentation

◆ TPZGeoQuad() [1/5]

◆ TPZGeoQuad() [2/5]

◆ TPZGeoQuad() [3/5]

◆ TPZGeoQuad() [4/5]

◆ TPZGeoQuad() [5/5]

Member Function Documentation

◆ ClassId()

◆ ComputeNormal()

◆ GradX()

◆ InsertExampleElement()

◆ IsLinearMapping()

◆ Read()

◆ TypeName()

◆ VectorialProduct()

◆ Write()

◆ X()