concepts::Triangle3d Class Reference

A 3D cell: triangle. More...

#include <cell2D.hh>

Inheritance diagram for concepts::Triangle3d:

Collaboration diagram for concepts::Triangle3d:

List of all members.

Classes
struct	Index
	Subclass of Quad2d representing its index. More...
Public Member Functions
Real3d	center () const
	Returns the center of the cell.
Real3d	chi (Real xi, Real eta) const
	The element map.
virtual const Triangle3d *	child (uint i) const
	Returns a child.
virtual Triangle3d *	child (uint i)
	Returns a child.
Triangle3d *	clone (Triangle &cntr, MapTriangle3d *map) const
	Returns a copy of itself.
Triangle &	connector () const
	Returns the triangle connector (topology)
virtual Real3d	elemMap (const Real coord_local) const
	Element map from point local coordinates in 1D.
virtual Real3d	elemMap (const Real3d &coord_local) const
	Element map from point local coordinates in 3D.
Real3d	elemMap (const Real2d &coord_local) const
	Element map from point local coordinates in 2D.
bool	hasChildren () const
	Returns true if there is a least one child.
const MapTriangle3d *	map () const
	Returns the element map.
	Triangle3d (Triangle &cntr, const MapTriangle3d &map)
	Constructor.
Real3d	vertex (uint i) const
	Returns the coordinates of the ith vertex.
virtual	~Triangle3d ()
Protected Member Functions
virtual std::ostream &	info (std::ostream &os) const
	Returns information in an output stream.
Private Member Functions
	Triangle3d (Triangle &cntr, MapTriangle3d *map, const Index &key)
	Private constructor.
Private Attributes
Triangle3d *	chld_
	Pointer to the first child.
Triangle &	cntr_
	Reference to the triangle connector (topology)
Index	idx_
	Index of this element.
Triangle3d *	lnk_
	Pointer to a sibling.
MapTriangle3d *	map_
	Pointer to the element map.
Friends
std::ostream &	operator<< (std::ostream &os, const Triangle3d::Index &i)

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Detailed Description

A 3D cell: triangle.

If a triangle is subdivided, four new children are created.

See also:

Cell for more information on cells in a mesh.

Definition at line 642 of file cell2D.hh.

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Constructor & Destructor Documentation

concepts::Triangle3d::Triangle3d	(	Triangle &	cntr,
		const MapTriangle3d &	map
	)

Constructor.

Takes the connector cntr and the element map map and creates a cell.

Parameters:

cntr	Topological information of the triangle
map	Element map of this triangle

virtual concepts::Triangle3d::~Triangle3d

(

)

[virtual]

concepts::Triangle3d::Triangle3d	(	Triangle &	cntr,
		MapTriangle3d *	map,
		const Index &	key
	)		[private]

Private constructor.

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Member Function Documentation

Real3d concepts::Triangle3d::center

(

)

const [inline, virtual]

Returns the center of the cell.

Implements concepts::Cell2.

Definition at line 707 of file cell2D.hh.

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Real3d concepts::Triangle3d::chi	(	Real	xi,
		Real	eta
	)		const

The element map.

Maps a corner from the unit square [0,1]² onto the element. The three vertices are (0, 0), (1, 0) and (1, 1).

Returns:

Point in 3D in physical coordinates.

Parameters:

xi
eta

virtual Triangle3d* concepts::Triangle3d::child

(

uint

i

)

[virtual]

Returns a child.

If no children exist, four new children are created. The triangle is cut into four new triangles by joining the midpoints of its edges.

Parameters:

i	Index of the child to be returned.

Implements concepts::Cell2.

virtual const Triangle3d* concepts::Triangle3d::child

(

uint

i

)

const [virtual]

Returns a child.

If no children exist, none are created and 0 is returned.

Parameters:

i	Index of the child to be returned.

Implements concepts::Cell2.

Triangle3d* concepts::Triangle3d::clone	(	Triangle &	cntr,
		MapTriangle3d *	map
	)		const [inline]

Returns a copy of itself.

Definition at line 713 of file cell2D.hh.

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Triangle& concepts::Triangle3d::connector

(

)

const [inline, virtual]

Returns the triangle connector (topology)

Implements concepts::Cell2.

Definition at line 690 of file cell2D.hh.

virtual Real3d concepts::Cell2::elemMap

(

const Real3d &

coord_local

)

const [inline, virtual, inherited]

Element map from point local coordinates in 3D.

Reference element is 2D, third component is omitted.

Reimplemented from concepts::Cell.

Definition at line 100 of file cell.hh.

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Real3d concepts::Triangle3d::elemMap

(

const Real2d &

coord_local

)

const [inline, virtual]

Element map from point local coordinates in 2D.

Implements concepts::Cell2.

Definition at line 701 of file cell2D.hh.

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virtual Real3d concepts::Cell::elemMap

(

const Real

coord_local

)

const [virtual, inherited]

Element map from point local coordinates in 1D.

Reimplemented in concepts::Edge1d, and concepts::Edge2d.

bool concepts::Cell::hasChildren

(

)

const [inline, inherited]

Returns true if there is a least one child.

Reimplemented in concepts::Quad2d, and concepts::InfiniteRect2d.

Definition at line 48 of file cell.hh.

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virtual std::ostream& concepts::Triangle3d::info

(

std::ostream &

os

)

const [protected, virtual]

Returns information in an output stream.

Implements concepts::Cell.

const MapTriangle3d* concepts::Triangle3d::map

(

)

const [inline]

Returns the element map.

Definition at line 710 of file cell2D.hh.

Real3d concepts::Triangle3d::vertex

(

uint

i

)

const [virtual]

Returns the coordinates of the ith vertex.

Implements concepts::Cell2.

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Friends And Related Function Documentation

std::ostream& operator<<	(	std::ostream &	os,
		const Triangle3d::Index &	i
	)		[friend]

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Member Data Documentation

Triangle3d* concepts::Triangle3d::chld_ [private]

Pointer to the first child.

The children are stored in a linked list.

Definition at line 730 of file cell2D.hh.

Triangle& concepts::Triangle3d::cntr_ [private]

Reference to the triangle connector (topology)

Definition at line 722 of file cell2D.hh.

Index concepts::Triangle3d::idx_ [private]

Index of this element.

Definition at line 719 of file cell2D.hh.

Triangle3d* concepts::Triangle3d::lnk_ [private]

Pointer to a sibling.

Definition at line 725 of file cell2D.hh.

MapTriangle3d* concepts::Triangle3d::map_ [private]

Pointer to the element map.

Definition at line 733 of file cell2D.hh.

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

• geometry/cell2D.hh