concepts::Edge2d Class Reference

#include <cell1D.hh>

Inheritance diagram for concepts::Edge2d:

Public Types
typedef uint	index_type

Public Member Functions
	Edge2d (Edge &cntr, const MappingEdge2d &map, const Z2 dir=0)
virtual Edge2d *	child (uint i)
virtual const Edge2d *	child (uint i) const
virtual uint	dim () const
	Returns the dimension of the space, i.e. N.
Real2d	chi (Real xi) const
virtual concepts::Real3d	elemMap (const Real xi) const
	Element map from point local coordinates in 1D.
virtual concepts::Real3d	elemMap (const Real2d &xi) const
	Element map from point local coordinates in 2D.
virtual concepts::Real3d	elemMap (const Real3d &xi) const
	Element map from point local coordinates in 3D.
Real	jacobianDeterminant (const Real x) const
Real2d	jacobian (Real x) const
Real	tangentialSecondDerivative (const Real x) const
Real2d	hessian (Real x) const
Array< Real >	hessianInverse (Real x) const
const MappingEdge2d *	map () const
virtual Edge2d *	clone () const
	Returns a copy of itself.
virtual Edge2d *	clone (Edge &cntr, MappingEdge2d *map) const
uchar	level () const
	Returns the level of the cell.
Z2	dir () const
	Returns if the normal vector is right or left pointing.
Z2 &	dir ()
	Access to the direction of the normal vector.
void	swapdir ()
	Swaps the normal direction.
Real2d	n0 (Real x) const
	Returns the normal vector on a point of the edge.
Edge &	connector () const
	Returns the connector (topology)
virtual Real3d	vertex (const uint i) const
	Returns the coordinates of the ith vertex.
virtual Real3d	center () const
	Returns the center of the cell.
bool	hasChildren () const
	Returns true if there is a least one child.

Static Public Attributes
static uint	MAX_LEVEL

Protected Member Functions
virtual std::ostream &	info (std::ostream &os) const
	Returns information in an output stream.
	Edge2d (Edge &cntr, MappingEdge2d *map, const Z2 dir, const uint l, const uint i)

Protected Attributes
MappingEdge2d *	map_
	Pointer to the element map.
uint	l_
	Level of the element.
index_type	i_
	Index of the element (ie. left or right child)
Z2	dir_
	Direction of the normal vector.
Edge &	cntr_
	Reference to the edge (topology)

Detailed Description

A 1D cell: edge in 2D

Author

Kersten Schmidt, 2006

Definition at line 189 of file cell1D.hh.

Member Typedef Documentation

index_type

typedef uint concepts::EdgeNd::index_type

inherited

Definition at line 40 of file cell1D.hh.

Constructor & Destructor Documentation

Edge2d() [1/2]

concepts::Edge2d::Edge2d	(	Edge &	cntr,
		const MappingEdge2d &	map,
		const Z2	dir = 0
	)

Constructor.

Parameters

cntr	The edge which should be represented
map	Element map of the edge
dir	direction of the normal vector when looking along direction of the edge (from first vertex to second) dir = 0 : Right normal dir = 1 : Left normal

Edge2d() [2/2]

concepts::Edge2d::Edge2d ( Edge &  cntr, MappingEdge2d *  map, const Z2  dir, const uint  l, const uint  i  )

protected

Protected copy constructor.

Parameters

cntr	The edge which should be represented
map	Element map of the edge
dir	direction of the normal vector
l	Level
i	Index (0 or 1), ie. the left or right child

Member Function Documentation

center()

virtual Real3d concepts::EdgeNd::center ( ) const

virtualinherited

Returns the center of the cell.

Implements concepts::Cell1.

chi()

Real2d concepts::Edge2d::chi

(

Real

xi

)

const

The element map. Maps a point from the unit intervall [0,1] onto the element.

Returns

Point in 2D in physical coordinates.

Parameters

xi

child() [1/2]

virtual Edge2d * concepts::Edge2d::child ( uint  i )

virtual

Returns a child. If no children exist, two new children are created. The edge is cut in the middle.

Parameters

i	Index of the child to be returned.

Implements concepts::EdgeNd.

child() [2/2]

virtual const Edge2d * concepts::Edge2d::child ( uint  i ) const

virtual

Returns a pointer to the ith child. Children are not created if they do not already exist, instead 0 is returned.

Implements concepts::EdgeNd.

clone()

virtual Edge2d * concepts::Edge2d::clone ( Edge &  cntr, MappingEdge2d *  map  ) const

inlinevirtual

Definition at line 261 of file cell1D.hh.

connector()

Edge & concepts::EdgeNd::connector ( ) const

inlinevirtualinherited

Returns the connector (topology)

Implements concepts::Cell1.

Definition at line 59 of file cell1D.hh.

dim()

virtual uint concepts::Edge2d::dim ( ) const

inlinevirtual

Returns the dimension of the space, i.e. N.

Implements concepts::EdgeNd.

Definition at line 210 of file cell1D.hh.

dir() [1/2]

Z2 & concepts::Edge2d::dir ( )

inline

Access to the direction of the normal vector.

Definition at line 275 of file cell1D.hh.

dir() [2/2]

Z2 concepts::Edge2d::dir ( ) const

inline

Returns if the normal vector is right or left pointing.

Definition at line 271 of file cell1D.hh.

elemMap() [1/3]

virtual concepts::Real3d concepts::Edge2d::elemMap ( const Real  coord_local ) const

virtual

Element map from point local coordinates in 1D.

Reimplemented from concepts::Cell.

elemMap() [2/3]

virtual concepts::Real3d concepts::Edge2d::elemMap ( const Real2d &  coord_local ) const

virtual

Element map from point local coordinates in 2D.

Reimplemented from concepts::Cell.

elemMap() [3/3]

virtual concepts::Real3d concepts::Edge2d::elemMap ( const Real3d &  coord_local ) const

virtual

Element map from point local coordinates in 3D.

Reimplemented from concepts::Cell.

hasChildren()

bool concepts::Cell::hasChildren ( ) const

inlineinherited

Returns true if there is a least one child.

Definition at line 50 of file cell.hh.

hessian()

Real2d concepts::Edge2d::hessian

(

Real

x

)

const

Returns a vector withthe second derivatives.

Parameters

x

hessianInverse()

Array< Real > concepts::Edge2d::hessianInverse

(

Real

x

)

const

Returns the hessian matrix of the inverse function of the parametrisation in x.

Parameters

x

info()

virtual std::ostream & concepts::Edge2d::info ( std::ostream &  os ) const

protectedvirtual

Returns information in an output stream.

Reimplemented from concepts::EdgeNd.

jacobian()

Real2d concepts::Edge2d::jacobian

(

Real

x

)

const

Returns the Jacobian.

Parameters

x

jacobianDeterminant()

Real concepts::Edge2d::jacobianDeterminant ( const Real  x ) const

inlinevirtual

Returns the determinant of the Jacobian.

See also

jacobian

Implements concepts::EdgeNd.

Definition at line 229 of file cell1D.hh.

level()

uchar concepts::Edge2d::level ( ) const

inline

Returns the level of the cell.

Definition at line 266 of file cell1D.hh.

map()

const MappingEdge2d * concepts::Edge2d::map ( ) const

inline

Definition at line 254 of file cell1D.hh.

swapdir()

void concepts::Edge2d::swapdir ( )

inline

Swaps the normal direction.

Definition at line 279 of file cell1D.hh.

tangentialSecondDerivative()

Real concepts::Edge2d::tangentialSecondDerivative

(

const Real

x

)

const

Returns the second tangential derivative.

See also

jacobian

vertex()

virtual Real3d concepts::EdgeNd::vertex ( const uint  i ) const

virtualinherited

Returns the coordinates of the ith vertex.

Implements concepts::Cell1.

Member Data Documentation

cntr_

Edge& concepts::EdgeNd::cntr_

protectedinherited

Reference to the edge (topology)

Definition at line 74 of file cell1D.hh.

dir_

Z2 concepts::Edge2d::dir_

protected

Direction of the normal vector.

Definition at line 296 of file cell1D.hh.

i_

index_type concepts::Edge2d::i_

protected

Index of the element (ie. left or right child)

Definition at line 293 of file cell1D.hh.

l_

uint concepts::Edge2d::l_

protected

Level of the element.

Definition at line 290 of file cell1D.hh.

map_

MappingEdge2d* concepts::Edge2d::map_

protected

Pointer to the element map.

Definition at line 288 of file cell1D.hh.

MAX_LEVEL

uint concepts::EdgeNd::MAX_LEVEL

staticinherited

Definition at line 44 of file cell1D.hh.

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

• geometry/cell1D.hh