PolyGeom Class Reference

#include <PolyGeom.H>

Public Member Functions
	PolyGeom ()
	~PolyGeom ()

Static Public Member Functions
static void	invertMatrix (Real a_AInverse[SpaceDim][SpaceDim], const Real a_A[SpaceDim][SpaceDim], bool a_test)
static void	getMinor (Real a_Aminor[SpaceDim-1][SpaceDim-1], const Real a_A[SpaceDim][SpaceDim], int a_row, int acol)
static void	getJacobianAndInverse (Real a_Jacobian[SpaceDim][SpaceDim], Real a_Jinverse[SpaceDim][SpaceDim], RealVect &a_normal, RealVect a_tangents[SpaceDim-1])
static void	getTangentVectors (RealVect a_tangen[CH_SPACEDIM-1], const RealVect &a_normal)
static Real	determinantSD (const Real a_A[SpaceDim][SpaceDim])
static Real	determinantSDM1 (const Real a_A[SpaceDim-1][SpaceDim-1])
static void	pointToLine (RealVect &a_closestPt, RealVect &a_normal, const RealVect &a_point, const RealVect &a_pointOnLine, const RealVect &a_direction)
static Real	distancePointToPlane (const RealVect &a_point, const RealVect &a_normal, const RealVect &a_pointOnLine)
	return distance from point to a plane More...
static void	setTolerance (const Real &a_tolerance)
static void	setVectDx (const RealVect &a_vectDx)
static void	setVolumeTolerance (const Real &a_tolerance)
static void	setAreaTolerance (const Real &a_tolerance)
static void	setLengthTolerance (const Real &a_tolerance)
static RealVect	cross (const RealVect &a_xvec1, const RealVect &a_xvec0)
static Real	dot (const RealVect &a_xvec1, const RealVect &a_xvec0)
static const Real &	getTolerance ()
static const RealVect &	getVectDx ()
static const Real &	getVolumeTolerance ()
static const Real &	getAreaTolerance ()
static const Real &	getLengthTolerance ()
static RealVect	normal (const VolIndex &a_vof, const EBISBox &a_ebisBox, const Real &a_bndryArea)
static Real	bndryArea (const VolIndex &a_vof, const EBISBox &a_ebisBox)
static Real	computeAlpha (const Real &a_volFrac, const RealVect &a_normal)
static Real	computeVolume (const Real &a_alpha, const RealVect &a_normal)
static void	computeNormalAndAlpha (Real &a_alpha, RealVect &a_normal, const int &a_upDir, const Tuple< RealVect, CH_SPACEDIM > &a_poly)
static Real	matrixSolveComp (const Vector< Vector< Real > > &a_A, const Vector< Real > &a_rhs, const int &a_icomp)
static Real	determinant (const Vector< Vector< Real > > &a_A)
static Real	sAndZVolume (const Real &a_alpha, const RealVect &a_normal)
static void	sortVector (RealVect &vect, IntVect &ivmap)
static void	posifyVector (RealVect &vect, IntVect &signs)
	make vector all pos and return the signs More...
static void	unifyVector (RealVect &normal, Real &sumSquare)
	make vector into a unit vector and return the sum of squares More...
static Tuple< int, CH_SPACEDIM-1 >	computeTanDirs (int upDir)

Static Protected Member Functions
static Real	twoDFunc (const Real &arg)
static Real	threeDFunc (const Real &arg)
static Real	computeAnyVolume (const Real &a_alpha, const Real &a_norm0, const Real &a_norm1, const Real &a_norm2)
static RealVect	tetCentroid (const RealVect &normal, const Real &alpha)
static Real	tetVolume (const RealVect &normal, const Real &alpha)

Static Protected Attributes
static RealVect	s_vectDx
static Real	s_tolerance
static Real	s_lengthtolerance
static Real	s_areatolerance

Detailed Description

PolyGeom encapsulates the functions to generate centroids, normals, etc given the geometric information. It is meant to be used simply as a static class. Its only data member (a static) is its tolerance.

Constructor & Destructor Documentation

PolyGeom()

PolyGeom::PolyGeom ( )

inline

~PolyGeom()

PolyGeom::~PolyGeom ( )

inline

References CH_SPACEDIM, computeAnyVolume(), computeTanDirs(), posifyVector(), sortVector(), threeDFunc(), twoDFunc(), and unifyVector().

Member Function Documentation

invertMatrix()

static void PolyGeom::invertMatrix ( Real  a_AInverse[SpaceDim][SpaceDim], const Real  a_A[SpaceDim][SpaceDim], bool  a_test  )

static

return the inverse of the input matrix. done using cramers rule

Referenced by getJacobianAndInverse().

getMinor()

static void PolyGeom::getMinor ( Real  a_Aminor[SpaceDim-1][SpaceDim-1], const Real  a_A[SpaceDim][SpaceDim], int  a_row, int  acol  )

static

calculate the cofactor of element (row,col) this is the matrix which excludes row and column row, col

getJacobianAndInverse()

static void PolyGeom::getJacobianAndInverse ( Real  a_Jacobian[SpaceDim][SpaceDim], Real  a_Jinverse[SpaceDim][SpaceDim], RealVect &  a_normal, RealVect  a_tangents[SpaceDim-1]  )

inlinestatic

References invertMatrix(), and SpaceDim.

getTangentVectors()

static void PolyGeom::getTangentVectors ( RealVect  a_tangen[CH_SPACEDIM-1], const RealVect &  a_normal  )

inlinestatic

References Abs(), bndryArea(), CH_assert, CH_SPACEDIM, computeAlpha(), computeNormalAndAlpha(), computeVolume(), cross(), determinant(), determinantSD(), determinantSDM1(), distancePointToPlane(), dot(), getAreaTolerance(), getLengthTolerance(), getTolerance(), getVectDx(), getVolumeTolerance(), matrixSolveComp(), normal(), pointToLine(), sAndZVolume(), setAreaTolerance(), setLengthTolerance(), setTolerance(), setVectDx(), setVolumeTolerance(), SpaceDim, unifyVector(), and RealVect::Unit.

determinantSD()

static Real PolyGeom::determinantSD ( const Real  a_A[SpaceDim][SpaceDim] )

static

Referenced by getTangentVectors().

determinantSDM1()

static Real PolyGeom::determinantSDM1 ( const Real  a_A[SpaceDim-1][SpaceDim-1] )

static

Referenced by getTangentVectors().

pointToLine()

static void PolyGeom::pointToLine ( RealVect &  a_closestPt, RealVect &  a_normal, const RealVect &  a_point, const RealVect &  a_pointOnLine, const RealVect &  a_direction  )

static

find equation of line between a line formed by a_pointOnLine = p0 and a_direction=v l(t) = p0 + v t and a point in space a_point. returns closest point on line and the normal between the closest point and the point in space

Referenced by getTangentVectors().

distancePointToPlane()

static Real PolyGeom::distancePointToPlane ( const RealVect &  a_point, const RealVect &  a_normal, const RealVect &  a_pointOnLine  )

static

return distance from point to a plane

Referenced by getTangentVectors().

setTolerance()

static void PolyGeom::setTolerance ( const Real &  a_tolerance )

static

Referenced by getTangentVectors().

setVectDx()

static void PolyGeom::setVectDx ( const RealVect &  a_vectDx )

static

Referenced by getTangentVectors().

setVolumeTolerance()

static void PolyGeom::setVolumeTolerance ( const Real &  a_tolerance )

static

Referenced by getTangentVectors().

setAreaTolerance()

static void PolyGeom::setAreaTolerance ( const Real &  a_tolerance )

static

Referenced by getTangentVectors().

setLengthTolerance()

static void PolyGeom::setLengthTolerance ( const Real &  a_tolerance )

static

Referenced by getTangentVectors().

cross()

static RealVect PolyGeom::cross ( const RealVect &  a_xvec1, const RealVect &  a_xvec0  )

static

compute the cross product between xvec0 and xvec1 (returns xvec1 x xvec0)

Referenced by getTangentVectors().

dot()

static Real PolyGeom::dot ( const RealVect &  a_xvec1, const RealVect &  a_xvec0  )

static

compute the dot product between xvec0 and xvec1 (returns xvec1 dot xvec0)

Referenced by getTangentVectors().

getTolerance()

static const Real& PolyGeom::getTolerance ( )

static

Referenced by getTangentVectors().

getVectDx()

static const RealVect& PolyGeom::getVectDx ( )

static

Referenced by getTangentVectors().

getVolumeTolerance()

static const Real& PolyGeom::getVolumeTolerance ( )

static

Referenced by getTangentVectors().

getAreaTolerance()

static const Real& PolyGeom::getAreaTolerance ( )

static

Referenced by getTangentVectors().

getLengthTolerance()

static const Real& PolyGeom::getLengthTolerance ( )

static

Referenced by getTangentVectors().

normal()

static RealVect PolyGeom::normal ( const VolIndex &  a_vof, const EBISBox &  a_ebisBox, const Real &  a_bndryArea  )

static

Return the normal to the boundary at the input VoF. If said normal is undefined, returns the zero vector.

Referenced by getTangentVectors().

bndryArea()

static Real PolyGeom::bndryArea ( const VolIndex &  a_vof, const EBISBox &  a_ebisBox  )

static

Referenced by getTangentVectors().

computeAlpha()

static Real PolyGeom::computeAlpha ( const Real &  a_volFrac, const RealVect &  a_normal  )

static

Return the inhomogeneous component of the plane eqution ni xi = alpha. Volume fraction must be positive and <= 1.0 and the normals can be in any order.

Referenced by getTangentVectors().

computeVolume()

static Real PolyGeom::computeVolume ( const Real &  a_alpha, const RealVect &  a_normal  )

static

Compute the volume fraction in the cell given alpha and the normal.

Referenced by getTangentVectors().

computeNormalAndAlpha()

static void PolyGeom::computeNormalAndAlpha ( Real &  a_alpha, RealVect &  a_normal, const int &  a_upDir, const Tuple< RealVect, CH_SPACEDIM > &  a_poly  )

static

Get the normal and alpha given the points in a polygon. Solves the linear system \ ni xi - alpha = 0\ ni*ni = 1\ for ni and alpha. Always returns nromal[updir] >= 0

Referenced by getTangentVectors().

matrixSolveComp()

static Real PolyGeom::matrixSolveComp ( const Vector< Vector< Real > > &  a_A, const Vector< Real > &  a_rhs, const int &  a_icomp  )

static

Referenced by getTangentVectors().

determinant()

static Real PolyGeom::determinant ( const Vector< Vector< Real > > &  a_A )

static

Referenced by getTangentVectors().

sAndZVolume()

static Real PolyGeom::sAndZVolume ( const Real &  a_alpha, const RealVect &  a_normal  )

static

andzvolume computes the volume under the curve (covered volume). Does so using Scardovelli and Zaleski's direct formulae. The normal has to be all positive numbers. The normals also must be ordered from lowest to highest.

Referenced by getTangentVectors().

sortVector()

static void PolyGeom::sortVector ( RealVect &  vect, IntVect &  ivmap  )

static

Sort vector from low to high. All comps must be positive. Return reverse mapping

Referenced by ~PolyGeom().

posifyVector()

static void PolyGeom::posifyVector ( RealVect &  vect, IntVect &  signs  )

static

make vector all pos and return the signs

Referenced by ~PolyGeom().

unifyVector()

static void PolyGeom::unifyVector ( RealVect &  normal, Real &  sumSquare  )

static

make vector into a unit vector and return the sum of squares

Referenced by getTangentVectors(), and ~PolyGeom().

computeTanDirs()

static Tuple<int, CH_SPACEDIM-1> PolyGeom::computeTanDirs ( int  upDir )

static

Referenced by ~PolyGeom().

twoDFunc()

static Real PolyGeom::twoDFunc ( const Real &  arg )

staticprotected

Referenced by ~PolyGeom().

threeDFunc()

static Real PolyGeom::threeDFunc ( const Real &  arg )

staticprotected

Referenced by ~PolyGeom().

computeAnyVolume()

static Real PolyGeom::computeAnyVolume ( const Real &  a_alpha, const Real &  a_norm0, const Real &  a_norm1, const Real &  a_norm2  )

staticprotected

Referenced by ~PolyGeom().

tetCentroid()

static RealVect PolyGeom::tetCentroid ( const RealVect &  normal, const Real &  alpha  )

staticprotected

tetVolume()

static Real PolyGeom::tetVolume ( const RealVect &  normal, const Real &  alpha  )

staticprotected

Member Data Documentation

s_vectDx

RealVect PolyGeom::s_vectDx

staticprotected

s_tolerance

Real PolyGeom::s_tolerance

staticprotected

s_lengthtolerance

Real PolyGeom::s_lengthtolerance

staticprotected

s_areatolerance

Real PolyGeom::s_areatolerance

staticprotected

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

• PolyGeom.H