concepts::Circle Class Reference

#include <circle.hh>

Inheritance diagram for concepts::Circle:

Public Member Functions
	Circle (const Real r=1.0, const Real ratio=0.5, const Real innerRadius=0.0)
	Circle (const Array< Real > rings, const Real ratio=0.5, const Real innerRadius=0.0)
	Circle (const Array< Real > rings, const Array< uint > ringAttrib, const Real ratio=0.5, const Real innerRadius=0.0)
	Circle (const Array< Real > rings, const Array< uint > ringAttrib, const Array< uint > ringEdgeAttrib, const Real ratio=0.5, const Real innerRadius=0.0)
	Circle (const Real innerRadius, const Array< Real > rings)
	Circle (const Real innerRadius, const Array< Real > rings, const Array< uint > ringAttrib)
	Circle (const Real2d center, const Real r, const uint n, const Attribute attrib=0, const Real phi0=0, const Attribute edgAttr=0)
	Circle (const Real2d center, const Real innerRadius, const Real outerRadius, const uint n, const Attribute attrib=0, const Real phi0=0)
uint	ncell () const
	Returns the number of cells in the mesh.
Scan2 *	scan ()
virtual std::ostream &	info (std::ostream &os) const
	Returns information in an output stream.
const Sequence< Edge2d * > &	outerBoundary () const
const Sequence< Sequence< Edge2d * > > &	innerBoundary () const
void	addInnerBoundary (const Sequence< Edge2d * > &innerBoundary)
	Adds clones of the edges in innerBoundary as new inner boundary.

Protected Attributes
Sequence< Edge2d * >	outerBoundary_
	Outer boundary given by edges in 2D.
Sequence< Sequence< Edge2d * > >	innerBoundary_
	Several internal boundaries given by edges in 2D.

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 47 of file circle.hh.

Constructor & Destructor Documentation

Circle() [1/8]

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.

Circle() [2/8]

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

Circle() [3/8]

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

Circle() [4/8]

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

Circle() [5/8]

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

Circle() [6/8]

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.

Circle() [7/8]

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

Circle() [8/8]

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

Member Function Documentation

info()

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

virtual

Returns information in an output stream.

Reimplemented from concepts::Mesh.

innerBoundary()

const Sequence< Sequence< Edge2d * > > & concepts::InnerOuterBoundary2d::innerBoundary ( ) const

inlineinherited

Definition at line 131 of file mesh.hh.

ncell()

uint concepts::Circle::ncell ( ) const

inlinevirtual

Returns the number of cells in the mesh.

Implements concepts::Mesh.

Definition at line 154 of file circle.hh.

outerBoundary()

const Sequence< Edge2d * > & concepts::InnerOuterBoundary2d::outerBoundary ( ) const

inlineinherited

Definition at line 128 of file mesh.hh.

scan()

Scan2 * concepts::Circle::scan ( )

inlinevirtual

Returns a scanner over the cells of the mesh.

Postcondition

The scanner must be deleted after usage. This has to be done by the user.

Implements concepts::Mesh2.

Definition at line 155 of file circle.hh.

Member Data Documentation

innerBoundary_

Sequence<Sequence<Edge2d*> > concepts::InnerOuterBoundary2d::innerBoundary_

protectedinherited

Several internal boundaries given by edges in 2D.

Definition at line 141 of file mesh.hh.

outerBoundary_

Sequence<Edge2d*> concepts::InnerOuterBoundary2d::outerBoundary_

protectedinherited

Outer boundary given by edges in 2D.

Definition at line 139 of file mesh.hh.

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

• geometry/circle.hh