star_rot_lambda_grv2.C
/*
* Method Star_rot::lambda_grv2.
*
* (see file star_rot.h for documentation)
*
*/
/*
* Copyright (c) 2010 Eric Gourgoulhon
*
* 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 as published by
* the Free Software Foundation; either version 2 of the License, or
* (at your option) any later version.
*
* 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 star_rot_lambda_grv2_C[] = "$Header: /cvsroot/Lorene/C++/Source/Star/star_rot_lambda_grv2.C,v 1.4 2014/10/13 08:53:39 j_novak Exp $" ;
/*
* $Id: star_rot_lambda_grv2.C,v 1.4 2014/10/13 08:53:39 j_novak Exp $
* $Log: star_rot_lambda_grv2.C,v $
* Revision 1.4 2014/10/13 08:53:39 j_novak
* Lorene classes and functions now belong to the namespace Lorene.
*
* Revision 1.3 2014/10/06 15:13:17 j_novak
* Modified #include directives to use c++ syntax.
*
* Revision 1.2 2013/06/05 15:10:43 j_novak
* Suppression of FINJAC sampling in r. This Jacobi(0,2) base is now
* available by setting colloc_r to BASE_JAC02 in the Mg3d constructor.
*
* Revision 1.1 2010/01/25 18:15:52 e_gourgoulhon
* First version.
*
*
*
* $Header: /cvsroot/Lorene/C++/Source/Star/star_rot_lambda_grv2.C,v 1.4 2014/10/13 08:53:39 j_novak Exp $
*
*/
// Headers C
#include <cmath>
// Headers Lorene
#include "star_rot.h"
#include "proto_f77.h"
namespace Lorene {
double Star_rot::lambda_grv2(const Scalar& sou_m, const Scalar& sou_q) {
const Map_radial* mprad = dynamic_cast<const Map_radial*>( &sou_m.get_mp() ) ;
if (mprad == 0x0) {
cout << "Star_rot::lambda_grv2: the mapping of sou_m does not"
<< endl << " belong to the class Map_radial !" << endl ;
abort() ;
}
assert( &sou_q.get_mp() == mprad ) ;
sou_q.check_dzpuis(4) ;
const Mg3d* mg = mprad->get_mg() ;
int nz = mg->get_nzone() ;
// Construction of a Map_af which coincides with *mp on the equator
// ----------------------------------------------------------------
double theta0 = M_PI / 2 ; // Equator
double phi0 = 0 ;
Map_af mpaff(*mprad) ;
for (int l=0 ; l<nz ; l++) {
double rmax = mprad->val_r(l, double(1), theta0, phi0) ;
switch ( mg->get_type_r(l) ) {
case RARE: {
double rmin = mprad->val_r(l, double(0), theta0, phi0) ;
mpaff.set_alpha(rmax - rmin, l) ;
mpaff.set_beta(rmin, l) ;
break ;
}
case FIN: {
double rmin = mprad->val_r(l, double(-1), theta0, phi0) ;
mpaff.set_alpha( double(.5) * (rmax - rmin), l ) ;
mpaff.set_beta( double(.5) * (rmax + rmin), l) ;
break ;
}
case UNSURR: {
double rmin = mprad->val_r(l, double(-1), theta0, phi0) ;
double umax = double(1) / rmin ;
double umin = double(1) / rmax ;
mpaff.set_alpha( double(.5) * (umin - umax), l) ;
mpaff.set_beta( double(.5) * (umin + umax), l) ;
break ;
}
default: {
cout << "Star_rot::lambda_grv2: unknown type_r ! " << endl ;
abort () ;
break ;
}
}
}
// Reduced Jacobian of
// the transformation (r,theta,phi) <-> (dzeta,theta',phi')
// ------------------------------------------------------------
Mtbl jac = 1 / ( (mprad->xsr) * (mprad->dxdr) ) ;
// R/x dR/dx in the nucleus
// R dR/dx in the shells
// - U/(x-1) dU/dx in the ZEC
for (int l=0; l<nz; l++) {
switch ( mg->get_type_r(l) ) {
case RARE: {
double a1 = mpaff.get_alpha()[l] ;
*(jac.t[l]) = *(jac.t[l]) / (a1*a1) ;
break ;
}
case FIN: {
double a1 = mpaff.get_alpha()[l] ;
double b1 = mpaff.get_beta()[l] ;
assert( jac.t[l]->get_etat() == ETATQCQ ) ;
double* tjac = jac.t[l]->t ;
double* const xi = mg->get_grille3d(l)->x ;
for (int k=0; k<mg->get_np(l); k++) {
for (int j=0; j<mg->get_nt(l); j++) {
for (int i=0; i<mg->get_nr(l); i++) {
*tjac = *tjac /
(a1 * (a1 * xi[i] + b1) ) ;
tjac++ ;
}
}
}
break ;
}
case UNSURR: {
double a1 = mpaff.get_alpha()[l] ;
*(jac.t[l]) = - *(jac.t[l]) / (a1*a1) ;
break ;
}
default: {
cout << "Star_rot::lambda_grv2: unknown type_r ! " << endl ;
abort () ;
break ;
}
}
}
// Multiplication of the sources by the reduced Jacobian:
// -----------------------------------------------------
Mtbl s_m(mg) ;
if ( sou_m.get_etat() == ETATZERO ) {
s_m = 0 ;
}
else{
assert(sou_m.get_spectral_va().get_etat() == ETATQCQ) ;
sou_m.get_spectral_va().coef_i() ;
s_m = *(sou_m.get_spectral_va().c) ;
}
Mtbl s_q(mg) ;
if ( sou_q.get_etat() == ETATZERO ) {
s_q = 0 ;
}
else{
assert(sou_q.get_spectral_va().get_etat() == ETATQCQ) ;
sou_q.get_spectral_va().coef_i() ;
s_q = *(sou_q.get_spectral_va().c) ;
}
s_m *= jac ;
s_q *= jac ;
// Preparations for the call to the Fortran subroutine
// ---------------------------------------------------
int np1 = 1 ; // Axisymmetry enforced
int nt = mg->get_nt(0) ;
int nt2 = 2*nt - 1 ; // Number of points for the theta sampling
// in [0,Pi], instead of [0,Pi/2]
// Array NDL
// ---------
int* ndl = new int[nz+4] ;
ndl[0] = nz ;
for (int l=0; l<nz; l++) {
ndl[1+l] = mg->get_nr(l) ;
}
ndl[1+nz] = nt2 ;
ndl[2+nz] = np1 ;
ndl[3+nz] = nz ;
// Parameters NDR, NDT, NDP
// ------------------------
int nrmax = 0 ;
for (int l=0; l<nz ; l++) {
nrmax = ( ndl[1+l] > nrmax ) ? ndl[1+l] : nrmax ;
}
int ndr = nrmax + 5 ;
int ndt = nt2 + 2 ;
int ndp = np1 + 2 ;
// Array ERRE
// ----------
double* erre = new double [nz*ndr] ;
for (int l=0; l<nz; l++) {
double a1 = mpaff.get_alpha()[l] ;
double b1 = mpaff.get_beta()[l] ;
for (int i=0; i<ndl[1+l]; i++) {
double xi = mg->get_grille3d(l)->x[i] ;
erre[ ndr*l + i ] = a1 * xi + b1 ;
}
}
// Arrays containing the data
// --------------------------
int ndrt = ndr*ndt ;
int ndrtp = ndr*ndt*ndp ;
int taille = ndrtp*nz ;
double* tsou_m = new double[ taille ] ;
double* tsou_q = new double[ taille ] ;
// Initialisation to zero :
for (int i=0; i<taille; i++) {
tsou_m[i] = 0 ;
tsou_q[i] = 0 ;
}
// Copy of s_m into tsou_m
// -----------------------
for (int l=0; l<nz; l++) {
for (int k=0; k<np1; k++) {
for (int j=0; j<nt; j++) {
for (int i=0; i<mg->get_nr(l); i++) {
double xx = s_m(l, k, j, i) ;
tsou_m[ndrtp*l + ndrt*k + ndr*j + i] = xx ;
// point symetrique par rapport au plan theta = pi/2 :
tsou_m[ndrtp*l + ndrt*k + ndr*(nt2-1-j) + i] = xx ;
}
}
}
}
// Copy of s_q into tsou_q
// -----------------------
for (int l=0; l<nz; l++) {
for (int k=0; k<np1; k++) {
for (int j=0; j<nt; j++) {
for (int i=0; i<mg->get_nr(l); i++) {
double xx = s_q(l, k, j, i) ;
tsou_q[ndrtp*l + ndrt*k + ndr*j + i] = xx ;
// point symetrique par rapport au plan theta = pi/2 :
tsou_q[ndrtp*l + ndrt*k + ndr*(nt2-1-j) + i] = xx ;
}
}
}
}
// Computation of the integrals
// ----------------------------
double int_m, int_q ;
F77_integrale2d(ndl, &ndr, &ndt, &ndp, erre, tsou_m, &int_m) ;
F77_integrale2d(ndl, &ndr, &ndt, &ndp, erre, tsou_q, &int_q) ;
// Cleaning
// --------
delete [] ndl ;
delete [] erre ;
delete [] tsou_m ;
delete [] tsou_q ;
// Computation of lambda
// ---------------------
double lambda ;
if ( int_q != double(0) ) {
lambda = - int_m / int_q ;
}
else{
lambda = 0 ;
}
return lambda ;
}
}
Lorene::Grille3d::x
double * x
Array of values of at the nr collocation points.
Definition grilles.h:209
Lorene::Map_af
Affine radial mapping.
Definition map.h:2027
Lorene::Map_af::get_beta
const double * get_beta() const
Returns the pointer on the array beta.
Definition map_af.C:481
Lorene::Map_af::get_alpha
const double * get_alpha() const
Returns the pointer on the array alpha.
Definition map_af.C:477
Lorene::Map_af::set_beta
void set_beta(double beta0, int l)
Modifies the value of in domain no. l.
Definition map_af.C:641
Lorene::Map_af::set_alpha
void set_alpha(double alpha0, int l)
Modifies the value of in domain no. l.
Definition map_af.C:630
Lorene::Map_radial
Base class for pure radial mappings.
Definition map.h:1536
Lorene::Map_radial::xsr
Coord xsr
in the nucleus; \ 1/R in the non-compactified shells; \ in the compactified outer domain.
Definition map.h:1549
Lorene::Map_radial::dxdr
Coord dxdr
in the nucleus and in the non-compactified shells; \ in the compactified outer domain.
Definition map.h:1560
Lorene::Mg3d
Multi-domain grid.
Definition grilles.h:273
Lorene::Mg3d::get_grille3d
const Grille3d * get_grille3d(int l) const
Returns a pointer on the 3D mono-grid for domain no. l.
Definition grilles.h:500
Lorene::Mg3d::get_np
int get_np(int l) const
Returns the number of points in the azimuthal direction ( ) in domain no. l.
Definition grilles.h:462
Lorene::Mg3d::get_nt
int get_nt(int l) const
Returns the number of points in the co-latitude direction ( ) in domain no. l.
Definition grilles.h:457
Lorene::Mg3d::get_nzone
int get_nzone() const
Returns the number of domains.
Definition grilles.h:448
Lorene::Mg3d::get_nr
int get_nr(int l) const
Returns the number of points in the radial direction ( ) in domain no. l.
Definition grilles.h:452
Lorene::Mg3d::get_type_r
int get_type_r(int l) const
Returns the type of sampling in the radial direction in domain no.
Definition grilles.h:474
Lorene::Mtbl
Multi-domain array.
Definition mtbl.h:118
Lorene::Mtbl::t
Tbl ** t
Array (size nzone ) of pointers on the Tbl 's.
Definition mtbl.h:132
Lorene::Scalar
Tensor field of valence 0 (or component of a tensorial field).
Definition scalar.h:387
Lorene::Scalar::check_dzpuis
bool check_dzpuis(int dzi) const
Returns false if the last domain is compactified and *this is not zero in this domain and dzpuis is n...
Definition scalar.C:873
Lorene::Scalar::get_spectral_va
const Valeur & get_spectral_va() const
Returns va (read only version).
Definition scalar.h:601
Lorene::Scalar::get_etat
int get_etat() const
Returns the logical state ETATNONDEF (undefined), ETATZERO (null) or ETATQCQ (ordinary).
Definition scalar.h:554
Lorene::Star_rot::lambda_grv2
static double lambda_grv2(const Scalar &sou_m, const Scalar &sou_q)
Computes the coefficient which ensures that the GRV2 virial identity is satisfied.
Definition star_rot_lambda_grv2.C:62
Lorene::Tbl::get_etat
int get_etat() const
Gives the logical state.
Definition tbl.h:394
Lorene::Tbl::t
double * t
The array of double.
Definition tbl.h:173
Lorene::Valeur::get_etat
int get_etat() const
Returns the logical state.
Definition valeur.h:726
Lorene::Valeur::coef_i
void coef_i() const
Computes the physical value of *this.
Definition valeur_coef_i.C:140
Lorene::Tensor::get_mp
const Map & get_mp() const
Returns the mapping.
Definition tensor.h:861
Lorene
Lorene prototypes.
Definition app_hor.h:64