DivNormalRefinementImplem.H

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#ifdef CH_LANG_CC
/*
 *      _______              __
 *     / ___/ /  ___  __ _  / /  ___
 *    / /__/ _ \/ _ \/  V \/ _ \/ _ \
 *    \___/_//_/\___/_/_/_/_.__/\___/
 *    Please refer to Copyright.txt, in Chombo's root directory.
 */
#endif

#ifndef _DIVNORMALREFINEMENTIMPLEM_H_
#define _DIVNORMALREFINEMENTIMPLEM_H_

#include "MayDay.H"

#include "NamespaceHeader.H"

template <int dim> DivNormalRefinement<dim>::DivNormalRefinement()
{
}

template <int dim> DivNormalRefinement<dim>::DivNormalRefinement(const Real & a_maxChangeThreshold,
                                                                 const int& a_maxNumberOfRefinements)
{
  setMaxChangeThreshold(a_maxChangeThreshold);
  setMaxNumberOfRefinements(a_maxNumberOfRefinements);
}

template <int dim> DivNormalRefinement<dim>::~DivNormalRefinement()
{
}

template <int dim> bool DivNormalRefinement<dim>::doRefine(IndexTM<int,dim>          & a_refineInDir,
                                                           const CutCellMoments<dim> & a_ccm,
                                                           const int                 & a_numberOfRefinements)
{
  bool retval = false;
  a_refineInDir = IndexTM<int,dim>::Zero;

  if (a_numberOfRefinements < m_maxNumberOfRefinements)
    {
      Real changeInNormal = approximateDivNormal(a_ccm);

      //check whether normal equals the zero vector or whether constraints were active
      if (changeInNormal > m_maxChangeThreshold)
        {
          retval        = true;
          a_refineInDir = IndexTM<int,dim>::Unit;
        }
    }

  return retval;
}

template <int dim> Real DivNormalRefinement<dim>::approximateDivNormal(const CutCellMoments<dim> & a_ccm)
{
  typedef IndexTM<int,dim>  IvDim;
  typedef IndexTM<Real,dim> RvDim;
  typedef IndexTM<int,dim>                      EdgeIndex;
  typedef map<EdgeIndex,Real,LexLT<EdgeIndex> > EdgeIntersections;

  Real changeInNormal = 0.0;
  const IFData<dim>& edgeData = a_ccm.m_IFData;

  //normal at the center of the Taylor Expansion, which always exists.
  const RvDim& normal = edgeData.m_normalDerivatives.find(IndexTM<int,dim>::Zero)->second;

  //iterate through intersection points
  for (typename EdgeIntersections::const_iterator it = edgeData.m_intersections.begin();it != edgeData.m_intersections.end(); ++it)
    {
      const EdgeIndex& edgeIndex = it->first;
      const Real&      intercept = it->second;

      int varyDir = edgeIndex[0];

      RvDim intersectPt = RvDim::Zero;
      intersectPt[varyDir] = intercept;

      for (int i = 1; i < dim; i++)
        {
          int curDir;
          int loHi;

          if (i <= varyDir)
            {
              curDir = i-1;
            }
          else
            {
              curDir = i;
            }

          loHi = edgeIndex[i];
          intersectPt[curDir]  = loHi - 0.5;
          intersectPt[curDir] *= edgeData.m_globalCoord.m_dx[curDir];
        }

      //normal at intersection point is the zeroth derivative of the normal
      NormalDerivative<dim> normalDerivative;
      RvDim intersectPtNormal;
      for (int idir = 0; idir < dim; idir++)
        {
          intersectPtNormal[idir] = normalDerivative.evaluate(IndexTM<int,dim>::Zero,
                                                              idir,
                                                              edgeData.m_globalCoord.convert(intersectPt,edgeData.m_cellCenterCoord),
                                                              edgeData.m_function);
        }

      // find the angle between the normal at intersection point the normal at the average of interesection points
      Real dotProduct = 0.0;
      for (int idir = 0; idir < dim; idir++)
        {
          dotProduct += intersectPtNormal[idir]*normal[idir];
        }

      if (Abs(dotProduct - 1.0) > changeInNormal)
        {
          changeInNormal = Abs(dotProduct -1.0);
        }
    }
  return changeInNormal;
}

template <int dim> void DivNormalRefinement<dim>::setMaxChangeThreshold(const Real & a_maxChangeThreshold)
{
  if (a_maxChangeThreshold < 0)
  {
    MayDay::Abort("DivNormalRefinement<dim>::setMaxChangeThreshold - maxChangeThreshold must be >= 0");
  }

  m_maxChangeThreshold = a_maxChangeThreshold;
}

template <int dim> Real DivNormalRefinement<dim>::getMaxChangeThreshold()
{
  return m_maxChangeThreshold;
}

template <int dim> void DivNormalRefinement<dim>::setMaxNumberOfRefinements(const int & a_maxNumberOfRefinements)
{
  if (a_maxNumberOfRefinements < 0)
  {
    MayDay::Abort("DivNormalRefinement<dim>::setMaxNumberOfRefinements - maxNumberOfRefinents must be >= 0");
  }

  m_maxNumberOfRefinements = a_maxNumberOfRefinements;
}

template <int dim> int DivNormalRefinement<dim>::getMaxNumberOfRefinements()
{
  return m_maxNumberOfRefinements;
}

#include "NamespaceFooter.H"

#endif

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