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// ************************************************************************
//
// Galeri: Finite Element and Matrix Generation Package
// Copyright (2006) ETHZ/Sandia Corporation
//
// Under terms of Contract DE-AC04-94AL85000, there is a non-exclusive
// license for use of this work by or on behalf of the U.S. Government.
//
// This library is free software; you can redistribute it and/or modify
// it under the terms of the GNU Lesser General Public License as
// published by the Free Software Foundation; either version 2.1 of the
// License, or (at your option) any later version.
//
// This library is distributed in the hope that it will be useful, but
// WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
// Lesser General Public License for more details.
//
// You should have received a copy of the GNU Lesser General Public
// License along with this library; if not, write to the Free Software
// Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307
// USA
//
// Questions about Galeri? Contact Marzio Sala (marzio.sala _AT_ gmail.com)
//
// ************************************************************************
// @HEADER
#ifndef GALERI_UNIFLOW_H
#define GALERI_UNIFLOW_H
#include "Galeri_Exception.h"
#include "Galeri_Utils.h"
#include "Galeri_Cross2D.h"
#include "Epetra_Comm.h"
#include "Epetra_BlockMap.h"
#include "Epetra_CrsMatrix.h"
namespace Galeri {
namespace Matrices {
// def for conv = 1;
// def for diff = 1e-5
// for alpha = 0
inline
Epetra_CrsMatrix* UniFlow2D(const Epetra_Map* Map,
const int nx, const int ny,
const double lx, const double ly,
const double conv, const double diff,
const double alpha)
{
Epetra_CrsMatrix* Matrix = new Epetra_CrsMatrix(Copy, *Map, 5);
int NumMyElements = Map->NumMyElements();
int* MyGlobalElements = Map->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 ConvX = conv * cos(alpha) / hx;
double ConvY = conv * sin(alpha) / 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(Cross2D(Map, nx, ny, A, B, C, D, E));
}
} // namespace Matrices
} // namespace Galeri
#endif
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