ConvectionDiscretization< X, Diag, OffDiag > Class Template Reference

#include <ConvectionDiscretization.h>

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

Collaboration diagram for ConvectionDiscretization< 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
	ConvectionDiscretization (const MeshList &meshes, const GeomFields &geomFields, Field &varField, const Field &convectingFluxField, const Field &continuityResidualField, const Field &varGradientField, const bool useCentralDifference=false)
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
const Field &	_varField
const Field &	_convectingFluxField
const Field &	_continuityResidualField
const Field &	_varGradientField
const bool	_useCentralDifference

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

Detailed Description

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

Definition at line 18 of file ConvectionDiscretization.h.

Member Typedef Documentation

template<class X , class Diag , class OffDiag >

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

Definition at line 25 of file ConvectionDiscretization.h.

template<class X , class Diag , class OffDiag >

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

Definition at line 23 of file ConvectionDiscretization.h.

template<class X , class Diag , class OffDiag >

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

Definition at line 24 of file ConvectionDiscretization.h.

template<class X , class Diag , class OffDiag >

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

Definition at line 35 of file ConvectionDiscretization.h.

template<class X , class Diag , class OffDiag >

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

Definition at line 29 of file ConvectionDiscretization.h.

template<class X , class Diag , class OffDiag >

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

Definition at line 21 of file ConvectionDiscretization.h.

template<class X , class Diag , class OffDiag >

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

Definition at line 31 of file ConvectionDiscretization.h.

template<class X , class Diag , class OffDiag >

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

Definition at line 32 of file ConvectionDiscretization.h.

template<class X , class Diag , class OffDiag >

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

Definition at line 33 of file ConvectionDiscretization.h.

template<class X , class Diag , class OffDiag >

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

Definition at line 30 of file ConvectionDiscretization.h.

template<class X , class Diag , class OffDiag >

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

Definition at line 27 of file ConvectionDiscretization.h.

Constructor & Destructor Documentation

template<class X , class Diag , class OffDiag >

ConvectionDiscretization< X, Diag, OffDiag >::ConvectionDiscretization ( const MeshList &  meshes, const GeomFields &  geomFields, Field &  varField, const Field &  convectingFluxField, const Field &  continuityResidualField, const Field &  varGradientField, const bool  useCentralDifference = false  )

inline

Definition at line 37 of file ConvectionDiscretization.h.

                                                                  :
    Discretization(meshes),
    _geomFields(geomFields),
    _varField(varField),
    _convectingFluxField(convectingFluxField),
    _continuityResidualField(continuityResidualField),
    _varGradientField(varGradientField),
    _useCentralDifference(useCentralDifference)
  {}

Member Function Documentation

template<class X , class Diag , class OffDiag >

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

inlinevirtual

Implements Discretization.

Definition at line 53 of file ConvectionDiscretization.h.

References ConvectionDiscretization< X, Diag, OffDiag >::_continuityResidualField, ConvectionDiscretization< X, Diag, OffDiag >::_convectingFluxField, ConvectionDiscretization< X, Diag, OffDiag >::_geomFields, ConvectionDiscretization< X, Diag, OffDiag >::_useCentralDifference, ConvectionDiscretization< X, Diag, OffDiag >::_varField, Mesh::getAllFaceCells(), 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::getFaces(), MultiFieldMatrix::getMatrix(), CRMatrix< T_Diag, T_OffDiag, X >::getPairWiseAssembler(), StorageSite::getSelfCount(), GeomFields::gridFlux, Field::hasArray(), GeomFields::ibType, Mesh::IBTYPE_BOUNDARY, and Mesh::IBTYPE_FLUID.

  {

    const StorageSite& cells = mesh.getCells();
    const StorageSite& faces = mesh.getFaces();


    // should there be some other checks ?
    if (!_convectingFluxField.hasArray(faces))
      return;

    const TArray& convectingFlux =
      dynamic_cast<const TArray&>(_convectingFluxField[faces]);
    const TArray& continuityResidual =
      dynamic_cast<const TArray&>(_continuityResidualField[cells]);

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

    const CRConnectivity& faceCells = mesh.getAllFaceCells();

    CCAssembler& assembler = matrix.getPairWiseAssembler(faceCells);
    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<GradArray>(_varGradientField[cells]);

    const IntArray& ibType = dynamic_cast<const IntArray&>(_geomFields.ibType[cells]);
    
    const int nFaces = faces.getCount();
    if (_geomFields.gridFlux.hasArray(faces))
    {
        shared_ptr<TArray> gridFluxPtr(new TArray(nFaces));
        TArray& gridFlux = *gridFluxPtr;
        gridFlux = dynamic_cast<const TArray&>(_geomFields.gridFlux[faces]);

        for(int f=0; f<nFaces; f++)
        {
            const int c0 = faceCells(f,0);
            const int c1 = faceCells(f,1);
            const T_Scalar faceCFlux = convectingFlux[f] - gridFlux[f];

            X varFlux;
            if (faceCFlux > T_Scalar(0))
            {
                varFlux = faceCFlux*xCell[c0];
                diag[c0] -= faceCFlux;
                assembler.getCoeff10(f) += faceCFlux;
            }
            else
            {
                varFlux = faceCFlux*xCell[c1];
                diag[c1] += faceCFlux;
                assembler.getCoeff01(f)-= faceCFlux;
            }
        
            rCell[c0] -= varFlux;
            rCell[c1] += varFlux;
        }
    }
    else
    {
      if (_useCentralDifference){
        for(int f=0; f<nFaces; f++)
          {
              const int c0 = faceCells(f,0);
              const int c1 = faceCells(f,1);
              const T_Scalar faceCFlux = convectingFlux[f];
              bool isIBFace = (((ibType[c0] == Mesh::IBTYPE_FLUID)
                                && (ibType[c1] == Mesh::IBTYPE_BOUNDARY)) ||
                               ((ibType[c1] == Mesh::IBTYPE_FLUID)
                                && (ibType[c0] == Mesh::IBTYPE_BOUNDARY)));
            

              X varFlux =0.5*faceCFlux*(xCell[c0] + xCell[c0]);

              rCell[c0] -= varFlux;
              rCell[c1] += varFlux;

              if (isIBFace)
              {
                  // linearize the actual flux as calculated
                  // above. this will ensure that the Ib
                  // discretization will be able to fix the value
                  // correctly using the ib face value
                  
                  diag[c0] -= 0.5*faceCFlux;
                  assembler.getCoeff10(f) -= 0.5*faceCFlux;
                  diag[c1] += 0.5*faceCFlux;
                  assembler.getCoeff01(f) += 0.5*faceCFlux;
              }
              else
              {
                  // linearize as upwind flux so that linear system
                  // remains diagonally dominant
                  if (faceCFlux > T_Scalar(0))
                  {
                      diag[c0] -= faceCFlux;
                      assembler.getCoeff10(f) += faceCFlux;
                  }
                  else
                  {
                      diag[c1] += faceCFlux;
                      assembler.getCoeff01(f)-= faceCFlux;
                  }
              }
          }
       }
       else
          for(int f=0; f<nFaces; f++)
          {
              const int c0 = faceCells(f,0);
              const int c1 = faceCells(f,1);
              const T_Scalar faceCFlux = convectingFlux[f];

              X varFlux;
            
              if (faceCFlux > T_Scalar(0))
              {
                  varFlux = faceCFlux*xCell[c0];
                  diag[c0] -= faceCFlux;
                  assembler.getCoeff10(f) += faceCFlux;
              }
              else
              {
                  varFlux = faceCFlux*xCell[c1];
                  diag[c1] += faceCFlux;
                  assembler.getCoeff01(f)-= faceCFlux;
              }

              rCell[c0] -= varFlux;
              rCell[c1] += varFlux;
              //cout << "convflux" << varFlux << endl;

          }
    }

    const int nCells = cells.getSelfCount();
    for(int c=0;c<nCells;c++)
    {
        const T_Scalar cImb = continuityResidual[c];
        diag[c] += cImb;
    }

  }

Member Data Documentation

template<class X , class Diag , class OffDiag >

const Field& ConvectionDiscretization< X, Diag, OffDiag >::_continuityResidualField

private

Definition at line 206 of file ConvectionDiscretization.h.

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

template<class X , class Diag , class OffDiag >

const Field& ConvectionDiscretization< X, Diag, OffDiag >::_convectingFluxField

private

Definition at line 205 of file ConvectionDiscretization.h.

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

template<class X , class Diag , class OffDiag >

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

private

Definition at line 203 of file ConvectionDiscretization.h.

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

template<class X , class Diag , class OffDiag >

const bool ConvectionDiscretization< X, Diag, OffDiag >::_useCentralDifference

private

Definition at line 208 of file ConvectionDiscretization.h.

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

template<class X , class Diag , class OffDiag >

const Field& ConvectionDiscretization< X, Diag, OffDiag >::_varField

private

Definition at line 204 of file ConvectionDiscretization.h.

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

template<class X , class Diag , class OffDiag >

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

private

Definition at line 207 of file ConvectionDiscretization.h.

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

• ConvectionDiscretization.h