#include <circle.hh>

Inheritance diagram for concepts::Circle:

Collaboration diagram for concepts::Circle:

Classes
class	S
	scanner over the cells More...
Public Member Functions
void	addInnerBoundary (const Sequence< Edge2d * > &innerBoundary)
	Adds clones of the edges in `innerBoundary` as new inner boundary.
	Circle (const Real2d center, const Real r, const uint n, const Attribute attrib=0, const Real phi0=0, const Attribute edgAttr=0)
	V2 constructor for circle with uniform subdivision.
	Circle (const Array< Real > rings, const Real ratio=0.5, const Real innerRadius=0.0)
	V1 constructor for circle and rings around.
	Circle (const Array< Real > rings, const Array< uint > ringAttrib, const Array< uint > ringEdgeAttrib, const Real ratio=0.5, const Real innerRadius=0.0)
	V1 constructor for circle and rings around.
	Circle (const Real2d center, const Real innerRadius, const Real outerRadius, const uint n, const Attribute attrib=0, const Real phi0=0)
	V3 constructor for circular sheet with uniform subdivision.
	Circle (const Real innerRadius, const Array< Real > rings)
	V1 constructor for circle and rings with hole in the middle.
	Circle (const Real r=1.0, const Real ratio=0.5, const Real innerRadius=0.0)
	V1 constructor for circle with 5 cells.
	Circle (const Real innerRadius, const Array< Real > rings, const Array< uint > ringAttrib)
	V1 constructor for circle and rings with hole in the middle.
	Circle (const Array< Real > rings, const Array< uint > ringAttrib, const Real ratio=0.5, const Real innerRadius=0.0)
	V1 constructor for circle and rings around.
virtual std::ostream &	info (std::ostream &os) const
	Returns information in an output stream.
const Sequence< Sequence < Edge2d * > > &	innerBoundary () const
uint	ncell () const
	Returns the number of cells in the mesh.
const Sequence< Edge2d * > &	outerBoundary () const
Scan2 *	scan ()
	Returns a scanner over the cells of the mesh.
virtual	~Circle ()
Protected Attributes
Sequence< Sequence< Edge2d * > >	innerBoundary_
	Several internal boundaries given by edges in 2D.
Sequence< Edge2d * >	outerBoundary_
	Outer boundary given by edges in 2D.
Private Member Functions
void	construct_ (const Array< Real > rings, const Real ratio, const Real innerRadius, const std::map< uint, uint > const attrib=0, const std::map< uint, uint > const edgeAttrib=0, const bool hole=false)
	For variant V1: Constructs the rings.
Real2d	point_ (const uint n, const Real r) const
	For variant V1: Coordinates of a point in direction x, y, -x or y with distance r from 0.
Private Attributes
Array< Quad2d * >	cell_
	Cells.
Array< Edge * >	edg_
Array< CircleMappingEdge2d * >	edges_
	Edge parametrisation.
uint	ncell_
Array< Quad * >	quad_
Array< Vertex * >	vtx_

Detailed Description

Mesh for a circle.

Variant V1: Four sectors with possible shells, centered at (0,0). Variant V2: Even number of sectors, no shells, centered somewhere. Variant V3: Circular strip with hole, somehow subdivided, centered somewhere. Variant V4: Only circular edges, somehow subdivided.

Variant V1: In the middle is one quadrilateral with possible curved edges. Around are shells of four quads. In minimum there are 5 cells. In the shells the local x-direction is in radial direction, In the inner quadrilateral in 45°-direction (to top right).

The edges at the boundary have attribute 1 to 4.

Variant V2: In the middle there is a structured grid with number of surface nodes equal to the number of nodes on the circle.

Variant V3: Circular strip with hole in the middle with prescribed number of surface modes.

All edges are oriented counter-clockwise, i.e. the normal vector points to the outer domain.

Author:: Kersten Schmidt, 2005

Examples:: BGT_0.cc, and exactDtN.cc.

Definition at line 45 of file circle.hh.

Constructor & Destructor Documentation

concepts::Circle::Circle	(	const Real	r = `1.0`,
		const Real	ratio = `0.5`,
		const Real	innerRadius = `0.0`
	)

V1 constructor for circle with 5 cells.

Parameters:

r	radius of the circle
ratio	distance of innermost quad from (0,0), relative to first radius
innerRadius	radius of the edges of the innermost quad, the quad hasn't to be a circle itself, 0.0 means straigt line

The edges on the outer boundaries have attribute 1, the cells have no attributes.

concepts::Circle::Circle	(	const Array< Real >	rings,
		const Real	ratio = `0.5`,
		const Real	innerRadius = `0.0`
	)

V1 constructor for circle and rings around.

Parameters:

rings	radia of the circles
ratio	distance of innermost quad from (0,0), relative to first radius
innerRadius	radius of the edges of the innermost quad, the quad hasn't to be a circle itself, 0.0 means straigt line

concepts::Circle::Circle	(	const Array< Real >	rings,
		const Array< uint >	ringAttrib,
		const Real	ratio = `0.5`,
		const Real	innerRadius = `0.0`
	)

V1 constructor for circle and rings around.

Parameters:

rings	radia of the circles
ringAttrib	definition of attributes for the cells of one ring beginning from 0 for the first circle
ratio	distance of innermost quad from (0,0), relative to first radius
innerRadius	radius of the edges of the innermost quad, the quad hasn't to be a circle itself, 0.0 means straigt line

concepts::Circle::Circle	(	const Array< Real >	rings,
		const Array< uint >	ringAttrib,
		const Array< uint >	ringEdgeAttrib,
		const Real	ratio = `0.5`,
		const Real	innerRadius = `0.0`
	)

V1 constructor for circle and rings around.

Parameters:

rings	radia of the circles
ratio	distance of innermost quad from (0,0), relative to first radius
ringAttrib	definition of attributes for the cells of one ring beginning from 0 for the first circle
ringEdgeAttrib	definition of attributes for the edges around one ring beginning from 0 for the first circle
innerRadius	radius of the edges of the innermost quad, the quad hasn't to be a circle itself, 0.0 means straigt line

concepts::Circle::Circle	(	const Real	innerRadius,
		const Array< Real >	rings
	)

V1 constructor for circle and rings with hole in the middle.

Parameters:

innerRadius	radius of the inner most circle
rings	radia of the circles

concepts::Circle::Circle	(	const Real	innerRadius,
		const Array< Real >	rings,
		const Array< uint >	ringAttrib
	)

V1 constructor for circle and rings with hole in the middle.

Parameters:

innerRadius	radius of the inner most circle
rings	radia of the circles
ringAttrib	definition of attributes for the cells of one ring beginning from 0 for the first circle

The edges of the outer boundary get attribute 1, those of the inner boundary attribute 2.

concepts::Circle::Circle	(	const Real2d	center,
		const Real	r,
		const uint	n,
		const Attribute	attrib = `0`,
		const Real	phi0 = `0`,
		const Attribute	edgAttr = `0`
	)

V2 constructor for circle with uniform subdivision.

Parameters:

center	center of the circle
r	radius
n	number of nodes on the circle (even number)
attrib	attribute of the quadrilaterals
phi0	angle of first node
edgAttr	attribute of the boundary edges

concepts::Circle::Circle	(	const Real2d	center,
		const Real	innerRadius,
		const Real	outerRadius,
		const uint	n,
		const Attribute	attrib = `0`,
		const Real	phi0 = `0`
	)

V3 constructor for circular sheet with uniform subdivision.

If inner and outer radious are equal only the edges are constructed and can be accessed via innerBoundary() or outerBoundary().

Parameters:

center	center of the circle
innerRadius	inner Radius
outerRadius	outer Radius
n	number of nodes on the circle
attrib	attribute of the quadrilaterals
phi0	angle of first node

virtual concepts::Circle::~Circle ( ) [virtual]

Member Function Documentation

void concepts::InnerOuterBoundary2d::addInnerBoundary ( const Sequence< Edge2d * > & innerBoundary ) [inherited]

Adds clones of the edges in innerBoundary as new inner boundary.

void concepts::Circle::construct_	(	const Array< Real >	rings,
		const Real	ratio,
		const Real	innerRadius,
		const std::map< uint, uint > *const	attrib = `0`,
		const std::map< uint, uint > *const	edgeAttrib = `0`,
		const bool	hole = `false`
	)		`[private]`