Algorithmes_Transport_FT_Disc.cpp

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#include <Algorithmes_Transport_FT_Disc.h>
#include <Parser.h>
#include <TRUSTArray.h>
#include <TRUSTTab.h>
#include <Domaine_VF.h>
 
Implemente_instanciable(Algorithmes_Transport_FT_Disc,"Algorithmes_Transport_FT_Disc",Objet_U);
 
 
/*! @brief readOn : appel interdit
 *
 */
Entree& Algorithmes_Transport_FT_Disc::readOn(Entree& is)
{
  assert(0);
  return is;
}
 
/*! @brief printOn : appel interdit
 *
 */
Sortie& Algorithmes_Transport_FT_Disc::printOn(Sortie& os) const
{
  assert(0);
  return os;
}
 
/*! @brief Calcul des grandeurs suivantes en fonction de l'indicatrice de phase.
 *
 * On calcule la somme sur tous les processeurs.
 *
 * @param (indicatrice) le tableau des valeurs d'un champ aux elements de domaine_vf (entree) Le champ est suppose constant par element.
 * @param (volume_total) (sortie) le volume total du domaine = INTEGRALE(d omega)
 * @param (volume_phase_1) (sortie) integrale de volume de l'indicatrice de phase, egale au volume de la phase 1 = INTEGRALE(indicatrice * d omega)
 * @param (barycentre) En entree: on attend un tableau de meme dimension que les coordonnees En sortie: iso-barycentre de la zone = INTEGRALE(X * d omega) / volume_phase_1
 * @param (barycentre_phase_1) En entree: idem que barycentre En sortie: barycentre de la phase_1 calcule comme INTEGRALE(indicatrice * X * d omega) / volume_phase_1
 */
void Algorithmes_Transport_FT_Disc::calculer_moments_indicatrice(
  const Domaine_VF& domaine_vf,
  const DoubleTab& indicatrice,
  double& volume_total,
  double& volume_phase_1,
  ArrOfDouble& barycentre,
  ArrOfDouble& barycentre_phase_1)
{
  const DoubleTab& xp = domaine_vf.xp();
  const int dim = xp.line_size();
  assert(barycentre.size_array() == dim);
  assert(barycentre_phase_1.size_array() == dim);
  // Volumes des elements
  const DoubleVect& volumes = domaine_vf.volumes();
  const int nb_elem = indicatrice.size();
  assert(nb_elem == domaine_vf.nb_elem());
  int i;
  double somme_v = 0.; // Somme des volumes
  double somme_vI = 0.; // Somme des volumes de phase 1
  double somme_v_x[3] = { 0., 0., 0. }; // Somme des xp[i] * volume
  double somme_vI_x[3] = { 0., 0., 0. }; // Somme des xp[i] * volume * indicatrice
  for (i = 0; i < nb_elem; i++)
    {
      const double I = indicatrice[i];
      const double v = volumes[i];
      const double vI = v * I;
      somme_v += v;
      somme_vI += vI;
      int j;
      for (j = 0; j < dim; j++)
        {
          const double x = xp(i, j);
          somme_v_x[j] += v * x;
          somme_vI_x[j] += vI * x;
        }
    }
  volume_total = mp_sum(somme_v);
  volume_phase_1 = mp_sum(somme_vI);
  for (i = 0; i < dim; i++)
    {
      const double sv = mp_sum(somme_v_x[i]);
      const double svI = mp_sum(somme_vI_x[i]);
      double b = 0.;
      double bI = 0.;
      if (volume_total > 0.)
        b = sv / volume_total;
      if (volume_phase_1 > 0.)
        bI = svI / volume_phase_1;
      barycentre[i] = b;
      barycentre_phase_1[i] = bI;
    }
}
 
/*! @brief evalue les fonctions px, py et pz en (x,y,z,t) (essentiellement utilise dans integrer_vitesse_imposee)
 *
 * @param (px, py, pz) Trois fonctions qui comprennent au moins 4 parametres.
 * @param (vx, vy, vz) References aux variables ou on stocke le resultat vx=px(x,y,z,t) vy=py(x,y,z,t) vz=pz(x,y,z,t)
 */
void eval_vitesse(double x, double y, double z, double t,
                  Parser& px, Parser& py, Parser& pz,
                  double& vx, double& vy, double& vz)
{
  int i0=0, i1=1, i2=2, i3=3;
  px.setVar(i0,x);
  px.setVar(i1,y);
  px.setVar(i2,z);
  px.setVar(i3,t);
 
  vx = px.eval();
  py.setVar(i0,x);
  py.setVar(i1,y);
  py.setVar(i2,z);
  py.setVar(i3,t);
 
  vy = py.eval();
  pz.setVar(i0,x);
  pz.setVar(i1,y);
  pz.setVar(i2,z);
  pz.setVar(i3,t);
  vz = pz.eval();
}
 
/*! @brief Integre le systeme differentiel d/dt(x)=vx(x,y,z,t)
 *
 *    d/dt(y)=vy(x,y,z,t)
 *    d/dt(z)=vy(x,y,z,t)
 *   entre "t=temps" et "t=temps+dt" par un unique pas de Runge Kutta ordre 4
 *  Parametres: x,y,z
 *  Signification: Position initiale (en t=temps) en entree, position finale
 *   (en t=temps+dt) en sortie.
 *
 */
void integrer_vitesse_imposee(
  Parser& parser_vx, Parser& parser_vy, Parser& parser_vz,
  double temps, double dt, double& x, double& y, double& z)
{
  // Runge Kutta ordre 3:
  double vx, vy, vz;
  eval_vitesse(x,
               y,
               z,
               temps,
               parser_vx,parser_vy,parser_vz,vx,vy,vz);
  double vx1,vy1,vz1;
  eval_vitesse(x + vx * dt * 0.5,
               y + vy * dt * 0.5,
               z + vz * dt * 0.5,
               temps + dt * 0.5,
               parser_vx,parser_vy,parser_vz,vx1,vy1,vz1);
  double vx2,vy2,vz2;
  eval_vitesse(x + vx1 * dt * 0.5,
               y + vy1 * dt * 0.5,
               z + vz1 * dt * 0.5,
               temps + dt * 0.5,
               parser_vx,parser_vy,parser_vz,vx2,vy2,vz2);
  double vx3,vy3,vz3;
  eval_vitesse(x + vx2 * dt,
               y + vy2 * dt,
               z + vz2 * dt,
               temps + dt,
               parser_vx,parser_vy,parser_vz,vx3,vy3,vz3);
 
  x += (vx + 2.*vx1 + 2.*vx2 + vx3) / 6. * dt;
  y += (vy + 2.*vy1 + 2.*vy2 + vy3) / 6. * dt;
  z += (vz + 2.*vz1 + 2.*vz2 + vz3) / 6. * dt;
}