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/*
* Methods transverse( ) and longit_pot( ) of class Sym_tensor
*
* (see file sym_tensor.h for documentation).
*
*/
/*
* Copyright (c) 2003-2004 Eric Gourgoulhon & Jerome Novak
*
* This file is part of LORENE.
*
* LORENE is free software; you can redistribute it and/or modify
* it under the terms of the GNU General Public License version 2
* as published by the Free Software Foundation.
*
* LORENE 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 General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with LORENE; if not, write to the Free Software
* Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
*
*/
char sym_tensor_decomp_C[] = "$Header: /cvsroot/Lorene/C++/Source/Tensor/sym_tensor_decomp.C,v 1.14 2014/10/13 08:53:43 j_novak Exp $" ;
/*
* $Id: sym_tensor_decomp.C,v 1.14 2014/10/13 08:53:43 j_novak Exp $
* $Log: sym_tensor_decomp.C,v $
* Revision 1.14 2014/10/13 08:53:43 j_novak
* Lorene classes and functions now belong to the namespace Lorene.
*
* Revision 1.13 2008/12/05 08:45:12 j_novak
* Modified dzpuis treatment.
*
* Revision 1.12 2008/12/03 10:20:00 j_novak
* Modified output.
*
* Revision 1.11 2004/06/17 06:56:42 e_gourgoulhon
* Simplified code for method transverse (use of Vector::ope_killing).
* Slight modif. of output in method longit_pot.
*
* Revision 1.10 2004/06/14 20:45:41 e_gourgoulhon
* Added argument method_poisson to methods longit_pot and transverse.
*
* Revision 1.9 2004/05/25 15:05:57 f_limousin
* Add parameters in argument of the functions transverse, longit_pot
* for the case of Map_et.
*
* Revision 1.8 2004/03/30 14:01:19 j_novak
* Copy constructors and operator= now copy the "derived" members.
*
* Revision 1.7 2004/03/30 08:01:16 j_novak
* Better treatment of dzpuis in mutators.
*
* Revision 1.6 2004/03/29 16:13:07 j_novak
* New methods set_longit_trans and set_tt_trace .
*
* Revision 1.5 2004/02/09 12:56:27 e_gourgoulhon
* Method longit_pot: added test of the vector Poisson equation.
*
* Revision 1.4 2004/02/02 09:18:11 e_gourgoulhon
* Method longit_pot: treatment of case divergence dzpuis = 5.
*
* Revision 1.3 2003/12/10 10:17:54 e_gourgoulhon
* First operational version.
*
* Revision 1.2 2003/11/27 16:01:47 e_gourgoulhon
* First implmentation.
*
* Revision 1.1 2003/11/26 21:57:03 e_gourgoulhon
* First version; not ready yet.
*
*
* $Header: /cvsroot/Lorene/C++/Source/Tensor/sym_tensor_decomp.C,v 1.14 2014/10/13 08:53:43 j_novak Exp $
*
*/
// Lorene headers
#include "metric.h"
#include "param.h"
namespace Lorene {
void Sym_tensor::set_longit_trans(const Vector& v_pot,
const Sym_tensor_trans& ht ) {
assert ( v_pot.get_index_type(0) == CON ) ;
const Metric& metre = ht.get_met_div() ;
*this = ht + v_pot.ope_killing(metre) ; // this has dzpuis = 2, if v_pot not 0
if ((*this)(1,1).get_dzpuis() == 2)
dec_dzpuis(2) ; // which is decreased so to add *this to a flat metric
del_deriv() ;
set_dependance(metre) ;
int jp = get_place_met(metre) ;
assert ((jp>=0) && (jp<N_MET_MAX)) ;
p_transverse[jp] = new Sym_tensor_trans(ht) ;
p_longit_pot[jp] = new Vector( v_pot ) ;
}
const Sym_tensor_trans& Sym_tensor::transverse(const Metric& metre, Param* par,
int method_poisson) const {
set_dependance(metre) ;
int jp = get_place_met(metre) ;
assert ((jp>=0) && (jp<N_MET_MAX)) ;
if (p_transverse[jp] == 0x0) { // a new computation is necessary
assert( (type_indice(0) == CON) && (type_indice(1) == CON) ) ;
for (int ic=0; ic<n_comp; ic++) {
assert(cmp[ic]->check_dzpuis(4)) ; // dzpuis=4 is assumed
}
const Vector& ww = longit_pot(metre, par, method_poisson) ;
Sym_tensor lww = ww.ope_killing(metre) ; // D^i W^j + D^j W^i
lww.inc_dzpuis(2) ;
p_transverse[jp] = new Sym_tensor_trans(*mp, *triad, metre) ;
*(p_transverse[jp]) = *this - lww ;
}
return *p_transverse[jp] ;
}
const Vector& Sym_tensor::longit_pot(const Metric& metre, Param* par,
int method_poisson) const {
set_dependance(metre) ;
int jp = get_place_met(metre) ;
assert ((jp>=0) && (jp<N_MET_MAX)) ;
if (p_longit_pot[jp] == 0x0) { // a new computation is necessary
const Metric_flat* metf = dynamic_cast<const Metric_flat*>(&metre) ;
if (metf == 0x0) {
cout << "Sym_tensor::longit_pot : the case of a non flat metric"
<< endl <<" is not treated yet !" << endl ;
abort() ;
}
Vector hhh = divergence(metre) ;
// If dpzuis is 5, it should be decreased to 4 for the Poisson equation:
bool dzp5 = false ;
for (int i=1; i<=3; i++) {
dzp5 = dzp5 || hhh(i).check_dzpuis(5) ;
}
if (dzp5) hhh.dec_dzpuis() ;
if (dynamic_cast<const Map_af*>(mp) != 0x0)
p_longit_pot[jp] = new Vector( hhh.poisson(double(1),
method_poisson) ) ;
else
p_longit_pot[jp] = new Vector( hhh.poisson(double(1), *par,
method_poisson) ) ;
// Test of resolution of the vector Poisson equation:
const Vector& ww = *(p_longit_pot[jp]) ;
hhh.dec_dzpuis() ;
Vector lapw = ww.derive_con(metre).divergence(metre)
+ (ww.divergence(metre)).derive_con(metre) ;
#ifndef NDEBUG
cout << "## Sym_tensor::longit_pot : test of Poisson : \n" ;
cout <<
" Max absolute error in each domain on the vector Poisson equation:\n" ;
maxabs(lapw - hhh) ;
int nz = mp->get_mg()->get_nzone() ; // total number of domains
cout << " Relative error in each domain on the vector Poisson equation:\n" ;
for (int i=1; i<=3; i++){
cout << " Comp. " << i << " : " ;
for (int l=0; l<nz; l++){
cout << diffrel(lapw(i),hhh(i) )(l) << " " ;
}
cout << endl ;
}
cout << endl ;
#endif
}
return *p_longit_pot[jp] ;
}
}
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