DiffusionDiscretization< X, Diag, OffDiag > Class Template Reference

#include <DiffusionDiscretization.h>

Inheritance diagram for DiffusionDiscretization< X, Diag, OffDiag >:

Collaboration diagram for DiffusionDiscretization< X, Diag, OffDiag >:

Public Types
typedef NumTypeTraits< X > ::T_Scalar	T_Scalar
typedef CRMatrix< Diag, OffDiag, X >	CCMatrix
typedef CCMatrix::DiagArray	DiagArray
typedef CCMatrix::PairWiseAssembler	CCAssembler
typedef Gradient< X >	XGrad
typedef Array< int >	IntArray
typedef Array< X >	XArray
typedef Array< T_Scalar >	TArray
typedef Vector< T_Scalar, 3 >	VectorT3
typedef Array< VectorT3 >	VectorT3Array
typedef Array< XGrad >	GradArray

Public Member Functions
	DiffusionDiscretization (const MeshList &meshes, const GeomFields &geomFields, Field &varField, const Field &diffusivityField, const Field &varGradientField, const T_Scalar thickness=0.0)
void	discretize (const Mesh &mesh, MultiFieldMatrix &mfmatrix, MultiField &xField, MultiField &rField)
Public Member Functions inherited from Discretization
	Discretization (const MeshList &meshes)
virtual	~Discretization ()
	DEFINE_TYPENAME ("Discretization")

Private Attributes
const GeomFields &	_geomFields
Field &	_varField
const Field &	_diffusivityField
const Field &	_varGradientField
const T_Scalar	_thickness

Additional Inherited Members
Protected Attributes inherited from Discretization
const MeshList &	_meshes

Detailed Description

template<class X, class Diag, class OffDiag>
class DiffusionDiscretization< X, Diag, OffDiag >

Definition at line 31 of file DiffusionDiscretization.h.

Member Typedef Documentation

template<class X , class Diag , class OffDiag >

typedef CCMatrix::PairWiseAssembler DiffusionDiscretization< X, Diag, OffDiag >::CCAssembler

Definition at line 39 of file DiffusionDiscretization.h.

template<class X , class Diag , class OffDiag >

typedef CRMatrix<Diag,OffDiag,X> DiffusionDiscretization< X, Diag, OffDiag >::CCMatrix

Definition at line 37 of file DiffusionDiscretization.h.

template<class X , class Diag , class OffDiag >

typedef CCMatrix::DiagArray DiffusionDiscretization< X, Diag, OffDiag >::DiagArray

Definition at line 38 of file DiffusionDiscretization.h.

template<class X , class Diag , class OffDiag >

typedef Array<XGrad> DiffusionDiscretization< X, Diag, OffDiag >::GradArray

Definition at line 49 of file DiffusionDiscretization.h.

template<class X , class Diag , class OffDiag >

typedef Array<int> DiffusionDiscretization< X, Diag, OffDiag >::IntArray

Definition at line 42 of file DiffusionDiscretization.h.

template<class X , class Diag , class OffDiag >

typedef NumTypeTraits<X>::T_Scalar DiffusionDiscretization< X, Diag, OffDiag >::T_Scalar

Definition at line 35 of file DiffusionDiscretization.h.

template<class X , class Diag , class OffDiag >

typedef Array<T_Scalar> DiffusionDiscretization< X, Diag, OffDiag >::TArray

Definition at line 45 of file DiffusionDiscretization.h.

template<class X , class Diag , class OffDiag >

typedef Vector<T_Scalar,3> DiffusionDiscretization< X, Diag, OffDiag >::VectorT3

Definition at line 46 of file DiffusionDiscretization.h.

template<class X , class Diag , class OffDiag >

typedef Array<VectorT3> DiffusionDiscretization< X, Diag, OffDiag >::VectorT3Array

Definition at line 47 of file DiffusionDiscretization.h.

template<class X , class Diag , class OffDiag >

typedef Array<X> DiffusionDiscretization< X, Diag, OffDiag >::XArray

Definition at line 44 of file DiffusionDiscretization.h.

template<class X , class Diag , class OffDiag >

typedef Gradient<X> DiffusionDiscretization< X, Diag, OffDiag >::XGrad

Definition at line 41 of file DiffusionDiscretization.h.

Constructor & Destructor Documentation

template<class X , class Diag , class OffDiag >

DiffusionDiscretization< X, Diag, OffDiag >::DiffusionDiscretization ( const MeshList &  meshes, const GeomFields &  geomFields, Field &  varField, const Field &  diffusivityField, const Field &  varGradientField, const T_Scalar  thickness = 0.0  )

inline

Definition at line 51 of file DiffusionDiscretization.h.

                                                        :
      Discretization(meshes),
      _geomFields(geomFields),
      _varField(varField),
      _diffusivityField(diffusivityField),
      _varGradientField(varGradientField),
      _thickness(thickness)
  {}

Member Function Documentation

template<class X , class Diag , class OffDiag >

void DiffusionDiscretization< X, Diag, OffDiag >::discretize ( const Mesh &  mesh, MultiFieldMatrix &  mfmatrix, MultiField &  xField, MultiField &  rField  )

inlinevirtual

Implements Discretization.

Definition at line 65 of file DiffusionDiscretization.h.

References DiffusionDiscretization< X, Diag, OffDiag >::_diffusivityField, DiffusionDiscretization< X, Diag, OffDiag >::_geomFields, DiffusionDiscretization< X, Diag, OffDiag >::_thickness, DiffusionDiscretization< X, Diag, OffDiag >::_varField, DiffusionDiscretization< X, Diag, OffDiag >::_varGradientField, GeomFields::area, GeomFields::areaMag, GeomFields::coordinate, dot(), Mesh::getAllFaceGroups(), Mesh::getCells(), CRMatrix< T_Diag, T_OffDiag, X >::PairWiseAssembler::getCoeff01(), CRMatrix< T_Diag, T_OffDiag, X >::PairWiseAssembler::getCoeff10(), StorageSite::getCount(), CRMatrix< T_Diag, T_OffDiag, X >::getDiag(), Mesh::getFaceCells(), MultiFieldMatrix::getMatrix(), CRMatrix< T_Diag, T_OffDiag, X >::getPairWiseAssembler(), FaceGroup::groupType, harmonicAverage(), GeomFields::ibType, Mesh::IBTYPE_BOUNDARY, Mesh::IBTYPE_FLUID, mag(), FaceGroup::site, and GeomFields::volume.

  {
    const StorageSite& cells = mesh.getCells();
    
    const MultiField::ArrayIndex cVarIndex(&_varField,&cells);
    CCMatrix& matrix = dynamic_cast<CCMatrix&>(mfmatrix.getMatrix(cVarIndex,
                                                             cVarIndex));    

    const VectorT3Array& cellCentroid =
      dynamic_cast<const VectorT3Array&>(_geomFields.coordinate[cells]);
   
    const TArray& cellVolume =
      dynamic_cast<const TArray&>(_geomFields.volume[cells]);
  
    DiagArray& diag = matrix.getDiag();

    const XArray& xCell = dynamic_cast<const XArray&>(xField[cVarIndex]);
    XArray& rCell = dynamic_cast<XArray&>(rField[cVarIndex]);

    const GradArray& xGradCell =
      dynamic_cast<const GradArray&>(_varGradientField[cells]);

    const TArray& diffCell =
      dynamic_cast<const TArray&>(_diffusivityField[cells]);

    const IntArray& ibType = dynamic_cast<const IntArray&>(_geomFields.ibType[cells]);

   
    foreach(const FaceGroupPtr fgPtr, mesh.getAllFaceGroups())
      {
        const FaceGroup& fg = *fgPtr;
        if (fg.groupType == "dielectric interface")
          {
            const StorageSite& faces = fg.site;
            const int nFaces = faces.getCount();
            const CRConnectivity& faceCells = mesh.getFaceCells(faces);
            const VectorT3Array& faceArea =
              dynamic_cast<const VectorT3Array&>(_geomFields.area[faces]);    
            const TArray& faceAreaMag =
              dynamic_cast<const TArray&>(_geomFields.areaMag[faces]);
            //const VectorT3Array& faceCentroid =
            //  dynamic_cast<const VectorT3Array&>(_geomFields.coordinate[faces]);
            CCAssembler& assembler = matrix.getPairWiseAssembler(faceCells);
            
            //cout << "doing dielectric interface " << endl;

            for(int f=0; f<nFaces; f++)
              {
                const int c0 = faceCells(f,0);
                const int c1 = faceCells(f,1);

                //T_Scalar vol0 = cellVolume[c0];
                //T_Scalar vol1 = cellVolume[c1];
        
                VectorT3 ds=cellCentroid[c1]-cellCentroid[c0];
                T_Scalar dsMag = mag(ds);
        
                T_Scalar faceDiffusivity = harmonicAverage(diffCell[c0],diffCell[c1]);
        
                T_Scalar sign(NumTypeTraits<T_Scalar>::getUnity());
                if (dot(faceArea[f],ds) < 0.0)
                  sign *= -1.0;
        
                const T_Scalar diffMetric = sign * faceAreaMag[f] / (dsMag + 0.5* _thickness);
                const T_Scalar diffCoeff = faceDiffusivity*diffMetric;
                
                //const T_Scalar volume = faceAreaMag[f] * _thickness;
                //const T_Scalar src = 1.0;
                const X dFlux = diffCoeff*(xCell[c1]-xCell[c0]);
                
                rCell[c0] += dFlux;
                rCell[c1] -= dFlux;
        
                assembler.getCoeff01(f) +=diffCoeff;
                assembler.getCoeff10(f) +=diffCoeff;

                diag[c0] -= diffCoeff;
                diag[c1] -= diffCoeff;
                /*
                cout << " c0 and c1 " << c0 << " " << c1 << endl;
                cout << " diffcell " << diffCell[c0] << " " << diffCell[c1] << " " << faceDiffusivity << endl;
                cout << " diffmetric  " << diffMetric << endl;
                cout << "diffCoeff  " << diffCoeff << endl;
                */
              }
          }

        else
          {
            const StorageSite& faces = fg.site;
            const int nFaces = faces.getCount();
            const CRConnectivity& faceCells = mesh.getFaceCells(faces);
            const VectorT3Array& faceArea =
              dynamic_cast<const VectorT3Array&>(_geomFields.area[faces]);    
            const TArray& faceAreaMag =
              dynamic_cast<const TArray&>(_geomFields.areaMag[faces]);
            const VectorT3Array& faceCentroid =
              dynamic_cast<const VectorT3Array&>(_geomFields.coordinate[faces]);
            CCAssembler& assembler = matrix.getPairWiseAssembler(faceCells);
            for(int f=0; f<nFaces; f++)
              {
                const int c0 = faceCells(f,0);
                const int c1 = faceCells(f,1);

                T_Scalar vol0 = cellVolume[c0];
                T_Scalar vol1 = cellVolume[c1];
        
                VectorT3 ds=cellCentroid[c1]-cellCentroid[c0];

                // for ib faces ignore the solid cell and use the face centroid for diff metric
                if (((ibType[c0] == Mesh::IBTYPE_FLUID)
                     && (ibType[c1] == Mesh::IBTYPE_BOUNDARY)) ||
                    ((ibType[c1] == Mesh::IBTYPE_FLUID)
                     && (ibType[c0] == Mesh::IBTYPE_BOUNDARY)))
                  {
                    if (ibType[c0] == Mesh::IBTYPE_FLUID)
                      {
                        vol1 = 0.;
                        ds = faceCentroid[f]-cellCentroid[c0];
                      }
                    else
                      {
                        vol0 = 0.;
                        ds = cellCentroid[c1]-faceCentroid[f];
                      }
                  }
        
                T_Scalar faceDiffusivity(1.0);
                if (vol0 == 0.)
                  faceDiffusivity = diffCell[c1];
                else if (vol1 == 0.)
                  faceDiffusivity = diffCell[c0];
                else
                  faceDiffusivity = harmonicAverage(diffCell[c0],diffCell[c1]);
        
                const T_Scalar diffMetric = faceAreaMag[f]*faceAreaMag[f]/dot(faceArea[f],ds);
                const T_Scalar diffCoeff = faceDiffusivity*diffMetric;
                const VectorT3 secondaryCoeff = faceDiffusivity*(faceArea[f]-ds*diffMetric);
        
                const XGrad gradF = (xGradCell[c0]*vol0+xGradCell[c1]*vol1)/(vol0+vol1);

                const X dFluxSecondary = gradF*secondaryCoeff;
        
                const X dFlux = diffCoeff*(xCell[c1]-xCell[c0]) + dFluxSecondary;

                rCell[c0] += dFlux;
                rCell[c1] -= dFlux;
        
                assembler.getCoeff01(f) +=diffCoeff;
                assembler.getCoeff10(f) +=diffCoeff;

                diag[c0] -= diffCoeff;
                diag[c1] -= diffCoeff;

                //cout <<"dflux" << dFlux << endl;
/*
                cout << " c0 and c1 " << c0 << " " << c1 << endl;
                cout << " diffcell " << diffCell[c0] << " " << diffCell[c1] << " " << faceDiffusivity << endl;
                cout << " diffmetric  " << diffMetric << endl;
                cout << "diffCoeff  " << diffCoeff << endl;
*/
        
              }

          }
      }
  }

Member Data Documentation

template<class X , class Diag , class OffDiag >

const Field& DiffusionDiscretization< X, Diag, OffDiag >::_diffusivityField

private

Definition at line 236 of file DiffusionDiscretization.h.

Referenced by DiffusionDiscretization< X, Diag, OffDiag >::discretize().

template<class X , class Diag , class OffDiag >

const GeomFields& DiffusionDiscretization< X, Diag, OffDiag >::_geomFields

private

Definition at line 234 of file DiffusionDiscretization.h.

Referenced by DiffusionDiscretization< X, Diag, OffDiag >::discretize().

template<class X , class Diag , class OffDiag >

const T_Scalar DiffusionDiscretization< X, Diag, OffDiag >::_thickness

private

Definition at line 238 of file DiffusionDiscretization.h.

Referenced by DiffusionDiscretization< X, Diag, OffDiag >::discretize().

template<class X , class Diag , class OffDiag >

Field& DiffusionDiscretization< X, Diag, OffDiag >::_varField

private

Definition at line 235 of file DiffusionDiscretization.h.

Referenced by DiffusionDiscretization< X, Diag, OffDiag >::discretize().

template<class X , class Diag , class OffDiag >

const Field& DiffusionDiscretization< X, Diag, OffDiag >::_varGradientField

private

Definition at line 237 of file DiffusionDiscretization.h.

Referenced by DiffusionDiscretization< X, Diag, OffDiag >::discretize().

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

• DiffusionDiscretization.h