#include <circle.hh>

Inheritance 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. More...

	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. More...

	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. More...

	Circle (const Array< Real > rings, const Real ratio=0.5, const Real innerRadius=0.0)
	V1 constructor for circle and rings around. More...

	Circle (const Real innerRadius, const Array< Real > rings)
	V1 constructor for circle and rings with hole in the middle. More...

	Circle (const Real innerRadius, const Array< Real > rings, const Array< uint > ringAttrib)
	V1 constructor for circle and rings with hole in the middle. More...

	Circle (const Real r=1.0, const Real ratio=0.5, const Real innerRadius=0.0)
	V1 constructor for circle with 5 cells. More...

	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. More...

	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. More...

virtual std::ostream &	info (std::ostream &os) const
	Returns information in an output stream. More...

const Sequence< Sequence< Edge2d * > > &	innerBoundary () const

uint	ncell () const
	Returns the number of cells in the mesh. More...

const Sequence< Edge2d * > &	outerBoundary () const

Scan2 *	scan ()
	Returns a scanner over the cells of the mesh. More...

virtual	~Circle ()

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

Sequence< Edge2d * >	outerBoundary_
	Outer boundary given by edges in 2D. More...

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. More...

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. More...

Private Attributes
Array< Quad2d * >	cell_
	Cells. More...

Array< Edge * >	edg_

Array< CircleMappingEdge2d * >	edges_
	Edge parametrisation. More...

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 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

◆ ~Circle()

virtual concepts::Circle::~Circle ( )

virtual

Member Function Documentation

◆ addInnerBoundary()

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

inherited

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

◆ construct_()

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

For variant V1: Constructs the rings.

Parameters

attrib	attributes of some cells
edgeAttrib	attributes of some edges
hole	if there is a hole in the geometry, innermost 5 quads are not constructed

◆ 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.

◆ point_()

Real2d concepts::Circle::point_	(	const uint	n,
		const Real	r
	)		const

private

For variant V1: Coordinates of a point in direction x, y, -x or y with distance r from 0.

◆ 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

◆ cell_

Array<Quad2d*> concepts::Circle::cell_

private

Cells.

Definition at line 184 of file circle.hh.

◆ edg_

Array<Edge*> concepts::Circle::edg_

private

Definition at line 177 of file circle.hh.

◆ edges_

Array<CircleMappingEdge2d*> concepts::Circle::edges_

private

Edge parametrisation.

Definition at line 181 of file circle.hh.

◆ innerBoundary_

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

protectedinherited

Several internal boundaries given by edges in 2D.

Definition at line 141 of file mesh.hh.

◆ ncell_

uint concepts::Circle::ncell_

private

Definition at line 174 of file circle.hh.

◆ outerBoundary_

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

protectedinherited

Outer boundary given by edges in 2D.

Definition at line 139 of file mesh.hh.

◆ quad_

Array<Quad*> concepts::Circle::quad_

private

Definition at line 178 of file circle.hh.

◆ vtx_

Array<Vertex*> concepts::Circle::vtx_

private

Definition at line 176 of file circle.hh.

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

geometry/circle.hh

concepts::Circle Class Reference

Classes

Public Member Functions

Protected Attributes

Private Member Functions

Private Attributes

Detailed Description

Constructor & Destructor Documentation

◆ Circle() [1/8]

◆ Circle() [2/8]

◆ Circle() [3/8]

◆ Circle() [4/8]

◆ Circle() [5/8]

◆ Circle() [6/8]

◆ Circle() [7/8]

◆ Circle() [8/8]

◆ ~Circle()

Member Function Documentation

◆ addInnerBoundary()

◆ construct_()

◆ info()

◆ innerBoundary()

◆ ncell()

◆ outerBoundary()

◆ point_()

◆ scan()

Member Data Documentation

◆ cell_

◆ edg_

◆ edges_

◆ innerBoundary_

◆ ncell_

◆ outerBoundary_

◆ quad_

◆ vtx_