vector_divfree_A_poisson.C
/*
* Methods to impose the Dirac gauge: divergence-free condition.
*
* (see file sym_tensor.h for documentation).
*
*/
/*
* Copyright (c) 2006 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 sol_Dirac_A_poisson_C[] = "$Header: /cvsroot/Lorene/C++/Source/Tensor/vector_divfree_A_poisson.C,v 1.4 2014/10/13 08:53:45 j_novak Exp $" ;
/*
* $Id: vector_divfree_A_poisson.C,v 1.4 2014/10/13 08:53:45 j_novak Exp $
* $Log: vector_divfree_A_poisson.C,v $
* Revision 1.4 2014/10/13 08:53:45 j_novak
* Lorene classes and functions now belong to the namespace Lorene.
*
* Revision 1.3 2014/10/06 15:13:20 j_novak
* Modified #include directives to use c++ syntax.
*
* Revision 1.2 2009/10/23 13:18:46 j_novak
* Minor modifications
*
* Revision 1.1 2008/08/27 09:01:27 jl_cornou
* Methods for solving Dirac systems for divergence free vectors
*
* $Header: /cvsroot/Lorene/C++/Source/Tensor/vector_divfree_A_poisson.C,v 1.4 2014/10/13 08:53:45 j_novak Exp $
*
*/
// C headers
#include <cstdlib>
#include <cassert>
#include <cmath>
// Lorene headers
#include "metric.h"
#include "diff.h"
#include "proto.h"
#include "param.h"
//----------------------------------------------------------------------------------
//
// sol_Dirac_A
//
//----------------------------------------------------------------------------------
namespace Lorene {
void Vector_divfree::sol_Dirac_A_poisson(const Scalar& aaa, Scalar& tilde_vr, Scalar& tilde_eta,
const Param* ) const {
Scalar source1 = -aaa.lapang();
Scalar rvr = source1.poisson_tau();
//rvr = rvr - rvr.val_grid_point(0,0,0,0);
Scalar source2 = aaa.dsdr();
source2.mult_r_dzpuis(2);
source2 += 3*aaa;
Scalar reta = source2.poisson_tau();
//reta = reta - reta.val_grid_point(0,0,0,0);
rvr.div_r();
tilde_vr = rvr ;
reta.div_r();
tilde_eta = reta ;
}
}
Lorene::Param
Parameter storage.
Definition param.h:125
Lorene::Scalar
Tensor field of valence 0 (or component of a tensorial field).
Definition scalar.h:387
Lorene::Scalar::lapang
const Scalar & lapang() const
Returns the angular Laplacian of *this , where .
Definition scalar_deriv.C:461
Lorene::Scalar::div_r
void div_r()
Division by r everywhere; dzpuis is not changed.
Definition scalar_r_manip.C:133
Lorene::Scalar::dsdr
const Scalar & dsdr() const
Returns of *this .
Definition scalar_deriv.C:113
Lorene::Scalar::mult_r_dzpuis
void mult_r_dzpuis(int ced_mult_r)
Multiplication by r everywhere but with the output flag dzpuis set to ced_mult_r .
Definition scalar_r_manip.C:221
Lorene::Scalar::poisson_tau
Scalar poisson_tau() const
Solves the scalar Poisson equation with *this as a source using a real Tau method The source of the ...
Definition scalar_pde.C:169
Lorene::Vector_divfree::sol_Dirac_A_poisson
void sol_Dirac_A_poisson(const Scalar &aaa, Scalar &eta, Scalar &vr, const Param *par_bc=0x0) const
Solves via a poisson method a system of two-coupled first-order PDEs obtained from the divergence-fre...
Definition vector_divfree_A_poisson.C:68
Lorene
Lorene prototypes.
Definition app_hor.h:64