/usr/include/trilinos/Galeri_Recirc2D.h is in libtrilinos-galeri-dev 12.4.2-2.
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// ************************************************************************
//
// Galeri: Finite Element and Matrix Generation Package
// Copyright (2006) ETHZ/Sandia Corporation
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#ifndef GALERI_RECIRC2D_H
#define GALERI_RECIRC2D_H
#include "Galeri_Exception.h"
#include "Galeri_Cross2D.h"
#include "Galeri_Utils.h"
#include "Epetra_Comm.h"
#include "Epetra_BlockMap.h"
#include "Epetra_CrsMatrix.h"
namespace Galeri {
namespace Matrices {
template<typename int_type>
inline
Epetra_CrsMatrix*
Recirc2D(const Epetra_Map* Map, const int nx, const int ny,
const double lx, const double ly,
const double conv, const double diff)
{
int NumMyElements = Map->NumMyElements();
int_type* MyGlobalElements = 0;
Map->MyGlobalElementsPtr(MyGlobalElements);
Epetra_Vector A(*Map);
Epetra_Vector B(*Map);
Epetra_Vector C(*Map);
Epetra_Vector D(*Map);
Epetra_Vector E(*Map);
A.PutScalar(0.0);
B.PutScalar(0.0);
C.PutScalar(0.0);
D.PutScalar(0.0);
E.PutScalar(0.0);
double hx = lx / (nx + 1);
double hy = ly / (ny + 1);
for (int i = 0 ; i < NumMyElements ; ++i)
{
int ix, iy;
ix = (MyGlobalElements[i]) % nx;
iy = (MyGlobalElements[i] - ix) / nx;
double x = hx * (ix + 1);
double y = hy * (iy + 1);
double ConvX = conv * 4 * x * (x - 1.) * (1. - 2 * y) / hx;
double ConvY = -conv * 4 * y * (y - 1.) * (1. - 2 * x) / hy;
// convection part
if (ConvX < 0)
{
C[i] += ConvX;
A[i] -= ConvX;
}
else
{
B[i] -= ConvX;
A[i] += ConvX;
}
if (ConvY < 0)
{
E[i] += ConvY;
A[i] -= ConvY;
}
else
{
D[i] -= ConvY;
A[i] += ConvY;
}
// add diffusion part
A[i] += diff * 2. / (hx * hx) + diff * 2. / (hy * hy);
B[i] -= diff / (hx * hx);
C[i] -= diff / (hx * hx);
D[i] -= diff / (hy * hy);
E[i] -= diff / (hy * hy);
}
return(Matrices::Cross2D(Map, nx, ny, A, B, C, D, E));
}
inline
Epetra_CrsMatrix*
Recirc2D(const Epetra_Map* Map, const int nx, const int ny,
const double lx, const double ly,
const double conv, const double diff)
{
#ifndef EPETRA_NO_32BIT_GLOBAL_INDICES
if(Map->GlobalIndicesInt()) {
return Recirc2D<int>(Map, nx, ny, lx, ly, conv, diff);
}
else
#endif
#ifndef EPETRA_NO_64BIT_GLOBAL_INDICES
if(Map->GlobalIndicesLongLong()) {
return Recirc2D<long long>(Map, nx, ny, lx, ly, conv, diff);
}
else
#endif
throw "Galeri::Matrices::Recirc2D: GlobalIndices type unknown";
}
} // namespace Matrices
} // namespace Galeri
#endif
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