Inheritance diagram for GIMLI::MeshEntity:

Collaboration diagram for GIMLI::MeshEntity:

Public Member Functions
	MeshEntity ()

virtual	~MeshEntity ()

virtual uint	dim () const

virtual uint	rtti () const

virtual uint	parentType () const

virtual void	setNodes (const std::vector< Node * > &nodes)

const std::vector< Node * > &	nodes () const

Node &	node (uint i)

Node &	node (uint i) const

uint	nodeCount () const

Shape &	shape ()

Shape &	shape () const

Shape *	pShape ()

RVector3	rst (uint i) const

RVector3	center () const

double	size () const

virtual double	attribute () const

IndexArray	ids () const

virtual std::vector< PolynomialFunction< double > >	createShapeFunctions () const

virtual RVector	N (const RVector3 &rst) const

virtual void	N (const RVector3 &rst, RVector &n) const

virtual RVector	dNdL (const RVector3 &rst, uint i) const

virtual RMatrix	dNdL (const RVector3 &rst) const

double	pot (const RVector3 &p, const RVector &u) const

RVector3	vec (const RVector3 &p, const R3Vector &v) const

RVector3	grad (const RVector3 &p, const RVector &u) const

void	setUxCache (const RMatrix &mat) const

const RMatrix &	uxCache () const

ElementMatrix< double > &	uCache ()

ElementMatrix< double > &	gradUCache ()

void	changed ()

void	addSecondaryNode (Node *n)

void	delSecondaryNode (Node *n)

const std::vector< Node * > &	secondaryNodes () const

const std::vector< Node * >	allNodes () const

Index	allNodeCount () const

virtual bool	enforcePositiveDirection ()

Public Member Functions inherited from GIMLI::BaseEntity
	BaseEntity (const BaseEntity &ent)

BaseEntity &	operator= (const BaseEntity &ent)

virtual bool	valid () const

virtual void	setValid (bool valid)

int	id () const

void	setId (int id)

void	setMarker (int marker)

int	marker () const

void	setTagged (bool tagged)

void	untag ()

void	tag ()

bool	tagged () const

Protected Member Functions
void	fillShape_ ()

virtual void	registerNodes_ ()

virtual void	deRegisterNodes_ ()

	MeshEntity (const MeshEntity &ent)

MeshEntity &	operator= (const MeshEntity &ent)

Protected Attributes
Shape *	shape_

std::vector< Node * >	nodeVector_

std::vector< Node * >	secondaryNodes_

ElementMatrix< double >	uCache_

ElementMatrix< double >	gradUCache_

RMatrix	uxCache_

Protected Attributes inherited from GIMLI::BaseEntity
int	id_

bool	valid_

int	marker_

bool	tagged_

Friends
std::ostream &	operator<< (std::ostream &str, const MeshEntity &c)

Constructor & Destructor Documentation

◆ MeshEntity() [1/2]

GIMLI::MeshEntity::MeshEntity ( )

Default constructor.

◆ ~MeshEntity()

GIMLI::MeshEntity::~MeshEntity ( )

virtual

Default destructor.

◆ MeshEntity() [2/2]

GIMLI::MeshEntity::MeshEntity ( const MeshEntity & ent )

inlineprotected

do not copy a mesh entity at all

Member Function Documentation

◆ allNodes()

const std::vector< Node * > GIMLI::MeshEntity::allNodes ( ) const

Return primary and secondary nodes

◆ center()

RVector3 GIMLI::MeshEntity::center ( ) const

Return the center coordinates of this MeshEntity.

Referenced by GIMLI::Boundary::rst(), and GIMLI::TriangleWrapper::transformMeshToTriangle_().

◆ changed()

void GIMLI::MeshEntity::changed ( )

Geometry has been changed. Deletes cache.

◆ dim()

virtual uint GIMLI::MeshEntity::dim ( ) const

inlinevirtual

Return the dimension for this MeshEntity.

Reimplemented in GIMLI::Pyramid, GIMLI::TriPrism, GIMLI::Hexahedron, GIMLI::Tetrahedron, GIMLI::Quadrangle, GIMLI::Triangle, GIMLI::EdgeCell, GIMLI::PolygonFace, GIMLI::QuadrangleFace, GIMLI::TriangleFace, GIMLI::Edge, and GIMLI::NodeBoundary.

◆ dNdL() [1/2]

RMatrix GIMLI::MeshEntity::dNdL ( const RVector3 & rst ) const

virtual

Return the complete (n,3) matrix for all $n=[0,\mathrm{nodeCount()}]$ shape functions of all nodes of the current MeshEntity $\frac{\partial N_n(L_1,L_2,L_3)}{\partial L_i}$ with $ i = 0,1,2 $

References GIMLI::Matrix< ValueType >::push_back().

◆ dNdL() [2/2]

RVector GIMLI::MeshEntity::dNdL	(	const RVector3 &	rst,
		uint	i
	)		const

virtual

Return a RVector of the derivation for the $n=[0,\mathrm{nodeCount()}]$ shape functions $ N_n(L_1,L_2,L_3)$ for the local coordinate $ (L_1,L_2,L_3)$ regarding to the local coordinates $ L_i $
$\frac{\partial N_n(L_1,L_2,L_3)}{\partial L_i}$ with may be $ i = 0,1,2 $

◆ enforcePositiveDirection()

bool GIMLI::MeshEntity::enforcePositiveDirection ( )

virtual

Reverse node sequence order to enforce positive Jacobian determinant. Please use with care! Return True if the order has been changed.

◆ grad()

RVector3 GIMLI::MeshEntity::grad	(	const RVector3 &	p,
		const RVector &	u
	)		const

Return gradient at position pos for field u regarding to the shape functions of the entity. The field vector u need to be of size mesh.nodeCount() for the corresponding mesh. The position pos, in Cartesian coordinates (x,y,z), need to be inside, or on the boundary, of the entity.

◆ ids()

IndexArray GIMLI::MeshEntity::ids ( ) const

Return IndexArray of all node ids.

Referenced by GIMLI::Mesh::addHoleMarker().

◆ N() [1/2]

RVector GIMLI::MeshEntity::N ( const RVector3 & rst ) const

virtual

Return a RVector(n) for $N(L) = {N_i} i = [0, \mathrm{nodeCount()}]$ shape functions $ N_n(L_1,L_2,L_3)$ in local coordinates $ L(L1, L2, L3) = L(r, s, t)$

Referenced by GIMLI::Mesh::addRegionMarker().

◆ N() [2/2]

void GIMLI::MeshEntity::N	(	const RVector3 &	rst,
		RVector &	n
	)		const

virtual

Inplace variant of N

◆ operator=()

MeshEntity& GIMLI::MeshEntity::operator= ( const MeshEntity & ent )

inlineprotected

do not assign a mesh entity at all

◆ parentType()

virtual uint GIMLI::MeshEntity::parentType ( ) const

inlinevirtual

To separate between major MeshEntity families e.g. Cell and Boundary.

Reimplemented in GIMLI::Boundary, and GIMLI::Cell.

◆ pot()

double GIMLI::MeshEntity::pot	(	const RVector3 &	p,
		const RVector &	u
	)		const

Interpolate a scalar field at position p for the scalar field u regarding to the shape functions of the entity.

Parameters

p	Cartesian coordinates (x,y,z) need to be inside, or on the boundary, of the entity.
u	The field vector u need to be of size mesh.nodeCount() for the corresponding mesh.

◆ rst()

RVector3 GIMLI::MeshEntity::rst ( uint i ) const

Return rst-coordinates for the i-th node. See Shape::rst.

◆ rtti()

virtual uint GIMLI::MeshEntity::rtti ( ) const

inlinevirtual

Return the runtime identification for this MeshEntity.

Reimplemented from GIMLI::BaseEntity.

Reimplemented in GIMLI::Pyramid13, GIMLI::Pyramid, GIMLI::TriPrism15, GIMLI::TriPrism, GIMLI::Hexahedron20, GIMLI::Hexahedron, GIMLI::Tetrahedron10, GIMLI::Tetrahedron, GIMLI::Quadrangle8, GIMLI::Quadrangle, GIMLI::Triangle6, GIMLI::Triangle, GIMLI::Edge3Cell, GIMLI::EdgeCell, GIMLI::PolygonFace, GIMLI::Quadrangle8Face, GIMLI::QuadrangleFace, GIMLI::Triangle6Face, GIMLI::TriangleFace, GIMLI::Edge3, GIMLI::Edge, GIMLI::NodeBoundary, GIMLI::Boundary, and GIMLI::Cell.

◆ size()

double GIMLI::MeshEntity::size ( ) const

Return the size (i.e., length, area, volume) of this MeshEntity.

Referenced by GIMLI::Mesh::boundarySizes().

◆ vec()

RVector3 GIMLI::MeshEntity::vec	(	const RVector3 &	p,
		const R3Vector &	v
	)		const

Interpolate a vector field at position p for the vector field v regarding to the shape functions of the entity.

Parameters

p	Cartesian coordinates (x,y,z) need to be inside, or on the boundary, of the entity.
v	The vector field vector v need to be of size mesh.nodeCount() for the corresponding mesh.

Member Data Documentation

◆ uCache_

ElementMatrix< double > GIMLI::MeshEntity::uCache_

mutableprotected

Cache for derivation matrixes

Public Member Functions

Protected Member Functions

Protected Attributes

Friends

Constructor & Destructor Documentation

◆ MeshEntity() [1/2]

◆ ~MeshEntity()

◆ MeshEntity() [2/2]

Member Function Documentation

◆ allNodes()

◆ center()

◆ changed()

◆ dim()

◆ dNdL() [1/2]

◆ dNdL() [2/2]

◆ enforcePositiveDirection()

◆ grad()

◆ ids()

◆ N() [1/2]

◆ N() [2/2]

◆ operator=()

◆ parentType()

◆ pot()

◆ rst()

◆ rtti()

◆ size()

◆ vec()

Member Data Documentation

◆ uCache_