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/***************************************************************************
tnlCentralFDMGradient_impl.h - description
-------------------
begin : Apr 26, 2013
copyright : (C) 2013 by Tomas Oberhuber
email : tomas.oberhuber@fjfi.cvut.cz
***************************************************************************/
/***************************************************************************
* *
* This program is free software; you can redistribute it and/or modify *
* it under the terms of the GNU General Public License as published by *
* the Free Software Foundation; either version 2 of the License, or *
* (at your option) any later version. *
* *
***************************************************************************/
#ifndef TNLCENTRALFDMGRADIENT_IMPL_H_
#define TNLCENTRALFDMGRADIENT_IMPL_H_
template< typename Real,
typename Device,
typename Index,
template< int, typename, typename, typename > class GridGeometry >
tnlCentralFDMGradient< tnlGrid< 2, Real, Device, Index, GridGeometry > > :: tnlCentralFDMGradient()
: mesh( 0 )
{
}
template< typename Real,
typename Device,
typename Index,
template< int, typename, typename, typename > class GridGeometry >
void tnlCentralFDMGradient< tnlGrid< 2, Real, Device, Index, GridGeometry > > :: bindMesh( const MeshType& mesh )
{
}
template< typename Real,
typename Device,
typename Index,
template< int, typename, typename, typename > class GridGeometry >
template< typename Vector >
void tnlCentralFDMGradient< tnlGrid< 2, Real, Device, Index, GridGeometry > > :: setFunction( Vector& f )
{
this -> f. bind( f );
this -> f. setName( tnlString( "bind Of " ) + f. getName() );
}
template< typename Real,
typename Device,
typename Index,
template< int, typename, typename, typename > class GridGeometry >
void tnlCentralFDMGradient< tnlGrid< 2, Real, Device, Index, GridGeometry > > :: getGradient( const Index& c,
{
tnlAssert( this -> mesh, cerr << "No mesh was set in tnlCentralFDMGradient. Use the bindMesh method." );
const Index e = mesh -> getElementNeighbour( c, 1, 0 );
const Index w = mesh -> getElementNeighbour( c, -1, 0 );
const Index n = mesh -> getElementNeighbour( c, 0, 1 );
const Index s = mesh -> getElementNeighbour( c, 0, -1 );
CoordinatesType cCoordinates;
mesh -> getElementCoordinates( c, cCoordinates );
CoordinatesType eCoordinates( cCoordinates ),
wCoordinates( cCoordinates ),
nCoordinates( cCoordinates ),
sCoordinates( cCoordinates );
eCoordinates. x() ++;
wCoordinates. x() --;
nCoordinates. y() ++;
sCoordinates. y() --;
VertexType eNormal, nNormal, wNormal, sNormal;
mesh -> template getEdgeNormal< 1, 0 >( cCoordinates, eNormal );
mesh -> template getEdgeNormal< 0, 1 >( cCoordinates, nNormal );
mesh -> template getEdgeNormal< -1, 0 >( cCoordinates, wNormal );
mesh -> template getEdgeNormal< 0, -1 >( cCoordinates, sNormal );
const RealType cMu = mesh -> getElementMeasure( cCoordinates );
const RealType eMu = mesh -> getElementMeasure( eCoordinates );
const RealType nMu = mesh -> getElementMeasure( nCoordinates );
const RealType wMu = mesh -> getElementMeasure( wCoordinates );
const RealType sMu = mesh -> getElementMeasure( sCoordinates );
const RealType f_e = ( cMu * f[ c ] + eMu * f[ e ] ) / ( cMu + eMu );
const RealType f_n = ( cMu * f[ c ] + nMu * f[ n ] ) / ( cMu + nMu );
const RealType f_w = ( cMu * f[ c ] + wMu * f[ w ] ) / ( cMu + wMu );
const RealType f_s = ( cMu * f[ c ] + sMu * f[ s ] ) / ( cMu + sMu );
grad_f. x() = 1.0 / cMu * ( f_e * eNormal. x() + f_n * nNormal. x() + f_w * wNormal. x() + f_s * sNormal. x() );
grad_f. y() = 1.0 / cMu * ( f_e * eNormal. y() + f_n * nNormal. y() + f_w * wNormal. y() + f_s * sNormal. y() );
//grad_f. x() = ( f[ e ] - f[ w ] ) / ( mesh -> getElementsDistance( eCoordinates, wCoordinates ) );
//grad_f. y() = ( f[ n ] - f[ s ] ) / ( mesh -> getElementsDistance( nCoordinates, sCoordinates ) );
}
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/****
* Specialization for the grids with no deformations (Identical grid geometry)
*/
template< typename Real, typename Device, typename Index >
tnlCentralFDMGradient< tnlGrid< 2, Real, Device, Index, tnlIdenticalGridGeometry > > :: tnlCentralFDMGradient()
: mesh( 0 )
{
}
template< typename Real, typename Device, typename Index >
void tnlCentralFDMGradient< tnlGrid< 2, Real, Device, Index, tnlIdenticalGridGeometry > > :: bindMesh( const MeshType& mesh )
{
this -> mesh = &mesh;
}
template< typename Real, typename Device, typename Index >
template< typename Vector >
void tnlCentralFDMGradient< tnlGrid< 2, Real, Device, Index, tnlIdenticalGridGeometry > > :: setFunction( Vector& f )
{
this -> f. bind( f );
this -> f. setName( tnlString( "bind Of " ) + f. getName() );
}
template< typename Real, typename Device, typename Index >
void tnlCentralFDMGradient< tnlGrid< 2, Real, Device, Index, tnlIdenticalGridGeometry > > :: getGradient( const Index& i,
VertexType& grad_f ) const
{
tnlAssert( this -> mesh, cerr << "No mesh was set in tnlCentralFDMGradient. Use the bindMesh method." );
const Index e = mesh -> getElementNeighbour( i, 1, 0 );
const Index w = mesh -> getElementNeighbour( i, -1, 0 );
const Index n = mesh -> getElementNeighbour( i, 0, 1 );
const Index s = mesh -> getElementNeighbour( i, 0, -1 );
grad_f. x() = ( f[ e ] - f[ w ] ) / ( 2.0 * mesh -> getParametricStep(). x() );
grad_f. y() = ( f[ n ] - f[ s ] ) / ( 2.0 * mesh -> getParametricStep(). y() );
}