SchwarzChristoffelRampCS Class Reference

#include <SchwarzChristoffelRampCS.H>

Inheritance diagram for SchwarzChristoffelRampCS:

[legend]

List of all members.

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Detailed Description

Conformal Schwarz-Christoffel mapping of a ramp.

 *  Physical-space (z)                Computational Space
 *
 *      ^                               ^
 *    i |      ,-+                    i |
 *         ,--'  |
 *     ,--'       \                     +-----------+
 *  +-'          ,+                     |           |
 *   \        ,-'                       |           |
 *    |    ,-'  alpha                   |           |
 *    +--*'- - - - - - >                +--*--------+ - - - >
 *       0                                 \hat(xi)_0
 *                                                                  

where = angle of ramp = location of corner where len is the length of the bottom boundary (both the horizontal and following the ramp) in physical space

Note:

• In computational space, the domain extends from 0 to 1 in the x direction and the corner is anchored at m_xiCorner. The cells are square and the domain extends from 0 in the y direction (height is not specified)
• In the physical space, the corner is anchored at (0, 0) and the length of the bottom boundary is specified.
• If a third dimension is hanging around, it is scaled by k
• Tolerances tested up to 1024 cells in X-Dir.

Public Member Functions
	SchwarzChristoffelRampCS (const RealVect &a_dx, const int a_nCellBaseDir0, const Real a_alpha=Pi/6., const Real a_XLeadLength=0.5, const Real a_XRampLength=4.5)
	Constructor.
virtual	~SchwarzChristoffelRampCS ()
	Destructor.
virtual RealVect	realCoord (const RealVect &a_hatXi) const
	Given coordinate in mapped space, return its location in real space.
virtual RealVect	mappedCoord (const RealVect &a_x) const
	Given coordinate in real space, return its location in the mapped space.
virtual Real	dXdXi (const RealVect &a_Xi, int a_dirX, int a_dirXi) const
	Calculate the derivative of each coordinate vector.
Real	rampAngle () const
	Return the angle of the ramp in radians.
const RealVect &	mappedCorner () const
	Return the location of the corner point in mapped space.
Real	physicalDomainX0Min () const
	Return the x-location of lower left domain corner in physical space.
Protected Member Functions
RealVect	getPolar (const RealVect &a_Xi) const
	Get a complex in polar coordinates.
Protected Attributes
const Real	m_alpha
	Ramp angle (0 <= m_alpha < Pi).
const Real	m_c
	Exponent coefficient.
Real	m_k
RealVect	m_XiCorner
	Corner in mapped space.

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Constructor & Destructor Documentation

SchwarzChristoffelRampCS::SchwarzChristoffelRampCS	(	const RealVect &	a_dx,
		const int	a_nCellBaseDir0,
		const Real	a_alpha = Pi/6.,
		const Real	a_XLeadLength = 0.5,
		const Real	a_XRampLength = 4.5
	)

Constructor.

virtual SchwarzChristoffelRampCS::~SchwarzChristoffelRampCS

(

)

[virtual]

Destructor.

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Member Function Documentation

virtual RealVect SchwarzChristoffelRampCS::realCoord

(

const RealVect &

a_hatXi

)

const [virtual]

Given coordinate in mapped space, return its location in real space.

Implements NewFourthOrderCoordSys.

virtual RealVect SchwarzChristoffelRampCS::mappedCoord

(

const RealVect &

a_x

)

const [virtual]

Given coordinate in real space, return its location in the mapped space.

Implements NewFourthOrderCoordSys.

virtual Real SchwarzChristoffelRampCS::dXdXi	(	const RealVect &	a_Xi,
		int	a_dirX,
		int	a_dirXi
	)			const [virtual]

Calculate the derivative of each coordinate vector.

Implements NewFourthOrderCoordSys.

Real SchwarzChristoffelRampCS::rampAngle

(

)

const [inline]

Return the angle of the ramp in radians.

References m_alpha.

const RealVect & SchwarzChristoffelRampCS::mappedCorner

(

)

const [inline]

Return the location of the corner point in mapped space.

References m_XiCorner.

Real SchwarzChristoffelRampCS::physicalDomainX0Min

(

)

const [inline]

Return the x-location of lower left domain corner in physical space.

References m_c, m_k, and m_XiCorner.

RealVect SchwarzChristoffelRampCS::getPolar

(

const RealVect &

a_Xi

)

const [protected]

Get a complex in polar coordinates.

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Member Data Documentation

const Real SchwarzChristoffelRampCS::m_alpha [protected]

Ramp angle (0 <= m_alpha < Pi).

Referenced by rampAngle().

const Real SchwarzChristoffelRampCS::m_c [protected]

Exponent coefficient.

Referenced by physicalDomainX0Min().

Real SchwarzChristoffelRampCS::m_k [protected]

Scaling between mapped and physical space

Referenced by physicalDomainX0Min().

RealVect SchwarzChristoffelRampCS::m_XiCorner [protected]

Corner in mapped space.

Referenced by mappedCorner(), and physicalDomainX0Min().

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

• SchwarzChristoffelRampCS.H