PolyGeom Class Reference

#include <PolyGeom.H>

List of all members.


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.

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
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 RealgetTolerance ()
static const RealVectgetVectDx ()
static const RealgetVolumeTolerance ()
static const RealgetAreaTolerance ()
static const RealgetLengthTolerance ()
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
static void unifyVector (RealVect &normal, Real &sumSquare)
 make vector into a unit vector and return the sum of squares
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

Constructor & Destructor Documentation

PolyGeom::PolyGeom (  )  [inline]

PolyGeom::~PolyGeom (  )  [inline]


Member Function Documentation

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().

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

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

References invertMatrix().

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

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

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

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

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

return distance from point to a plane

static void PolyGeom::setTolerance ( const Real a_tolerance  )  [static]

static void PolyGeom::setVectDx ( const RealVect a_vectDx  )  [static]

static void PolyGeom::setVolumeTolerance ( const Real a_tolerance  )  [static]

static void PolyGeom::setAreaTolerance ( const Real a_tolerance  )  [static]

static void PolyGeom::setLengthTolerance ( const Real a_tolerance  )  [static]

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().

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().

static const Real& PolyGeom::getTolerance (  )  [static]

static const RealVect& PolyGeom::getVectDx (  )  [static]

static const Real& PolyGeom::getVolumeTolerance (  )  [static]

static const Real& PolyGeom::getAreaTolerance (  )  [static]

static const Real& PolyGeom::getLengthTolerance (  )  [static]

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.

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

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.

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.

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

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

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

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.

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

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

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

make vector all pos and return the signs

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

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

Referenced by getTangentVectors().

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

static Real PolyGeom::twoDFunc ( const Real arg  )  [static, protected]

static Real PolyGeom::threeDFunc ( const Real arg  )  [static, protected]

static Real PolyGeom::computeAnyVolume ( const Real a_alpha,
const Real a_norm0,
const Real a_norm1,
const Real a_norm2 
) [static, protected]

static RealVect PolyGeom::tetCentroid ( const RealVect normal,
const Real alpha 
) [static, protected]

static Real PolyGeom::tetVolume ( const RealVect normal,
const Real alpha 
) [static, protected]


Member Data Documentation

RealVect PolyGeom::s_vectDx [static, protected]

Real PolyGeom::s_tolerance [static, protected]

Real PolyGeom::s_lengthtolerance [static, protected]

Real PolyGeom::s_areatolerance [static, protected]


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

Generated on Wed May 24 03:27:23 2017 for Chombo + EB + MF by  doxygen 1.5.5