Modele_Shih_Zhu_Lumley_VEF.cpp

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#include <Modele_Shih_Zhu_Lumley_VEF.h>
#include <Domaine_VEF.h>
#include <Champ_Uniforme.h>
#include <Champ_P1NC.h>
#include <Periodique.h>
#include <Scatter.h>
#include <Champ_P0_VEF.h>
#include <Discretisation_base.h>
#include <Check_espace_virtuel.h>
#include <LecFicDiffuse.h>
#include <EcritureLectureSpecial.h>
 
Implemente_instanciable(Modele_Shih_Zhu_Lumley_VEF,"Modele_Shih_Zhu_Lumley_VEF",Modele_Fonc_Realisable_base);
 
 
// XD Shih_Zhu_Lumley Modele_Fonc_Realisable_base Shih_Zhu_Lumley INHERITS_BRACE Functions necessary to Realizable
// XD_CONT K-Epsilon Turbulence Model in VEF
 
 
///////////////////////////////////////////////////////////////
//   Implementation des fonctions de la classe
///////////////////////////////////////////////////////////////
// printOn et readOn
 
Sortie& Modele_Shih_Zhu_Lumley_VEF::printOn(Sortie& s ) const
{
  return s;
}
 
Entree& Modele_Shih_Zhu_Lumley_VEF::readOn(Entree& is )
{
  Param param(que_suis_je());
  set_param(param);
  param.lire_avec_accolades_depuis(is);
  is_Cmu_constant_ = 0;
  return is;
}
 
void Modele_Shih_Zhu_Lumley_VEF::set_param(Param& param) const
{
  param.ajouter("A0",&A0_);    // XD_ADD_P double
  // XD_CONT value of parameter A0 in U* formula
}
 
 
void Modele_Shih_Zhu_Lumley_VEF::Initialisation(const Domaine_dis_base& domaine_dis)
{
  const Domaine_VEF&  domaine_VEF = ref_cast(Domaine_VEF,domaine_dis);
  init_tenseur_elem(S_elem_,domaine_VEF,2);
  init_tenseur_elem(R_elem_,domaine_VEF,2);
 
  nfaces_ = domaine_VEF.nb_faces();
  S_.resize_tab( nfaces_ );
  Cmu_.resize_tab( nfaces_ );
  C1_.resize_tab( nfaces_ );
}
 
void Modele_Shih_Zhu_Lumley_VEF::Calcul_Tenseurs_S_et_R_elem(const Domaine_dis_base& domaine_dis, const Domaine_Cl_dis_base& domaine_Cl_dis,const DoubleTab& vitesse)
{
  const Domaine_VEF&       domaine_VEF = ref_cast(Domaine_VEF,domaine_dis);
  const Domaine_Cl_VEF& domaine_Cl_VEF = ref_cast(Domaine_Cl_VEF,domaine_Cl_dis);
 
  DoubleTab gradient_elem;
  init_tenseur_elem(gradient_elem,domaine_VEF,2);
 
  Champ_P1NC::calcul_gradient(vitesse,gradient_elem,domaine_Cl_VEF);
 
  int nelem = S_elem_.dimension(0);
 
  for (int elem=0; elem<nelem; elem++)
    {
      for (int i=0; i<dimension; i++)
        {
          for (int j=0; j<dimension; j++)
            {
              S_elem_(elem,i,j) =  0.5 * ( gradient_elem(elem,i,j) + gradient_elem(elem,j,i) );
              R_elem_(elem,i,j) =  0.5 * ( gradient_elem(elem,i,j) - gradient_elem(elem,j,i) );
//               if (i==j)
//                 for (int k=0; k<Objet_U::dimension; k++)
//                   {
//                     S_elem_(elem,i,j) -= 1/3 * gradient_elem(elem,k,k);
//                   }
            }
        }
    }
 
  S_elem_.echange_espace_virtuel();
  R_elem_.echange_espace_virtuel();
}
 
 
void Modele_Shih_Zhu_Lumley_VEF::Calcul_Tenseurs_S_et_R_elem_Paroi(const Domaine_dis_base& domaine_dis, const Domaine_Cl_dis_base& domaine_Cl_dis,const DoubleTab& vitesse,
                                                                   const DoubleTab& visco_tab, const DoubleTab& visco_turb,
                                                                   const DoubleTab& tab_paroi,const int idt)
{
  const Domaine_VEF&       domaine_VEF = ref_cast(Domaine_VEF,domaine_dis);
  const Domaine_Cl_VEF& domaine_Cl_VEF = ref_cast(Domaine_Cl_VEF,domaine_Cl_dis);
 
  DoubleTab gradient_elem;
  init_tenseur_elem(gradient_elem,domaine_VEF,2);
 
  Champ_P1NC::calcul_gradient(vitesse,gradient_elem,domaine_Cl_VEF);
 
  if (idt>0)
    Champ_P1NC::calcul_duidxj_paroi(gradient_elem,visco_tab,visco_turb,tab_paroi,domaine_Cl_VEF);
 
  int nelem = S_elem_.dimension(0);
 
  for (int elem=0; elem<nelem; elem++)
    {
      for (int i=0; i<dimension; i++)
        {
          for (int j=0; j<dimension; j++)
            {
              S_elem_(elem,i,j) =  0.5 * ( gradient_elem(elem,i,j) + gradient_elem(elem,j,i) );
              R_elem_(elem,i,j) =  0.5 * ( gradient_elem(elem,i,j) - gradient_elem(elem,j,i) );
//               if (i==j)
//                 for (int k=0; k<Objet_U::dimension; k++)
//                   {
//                     S_elem_(elem,i,j) -= 1/3 * gradient_elem(elem,k,k);
//                   }
            }
        }
    }
 
  S_elem_.echange_espace_virtuel();
  R_elem_.echange_espace_virtuel();
}
 
 
// Calcul de la norme S SUR LES FACES
void Modele_Shih_Zhu_Lumley_VEF::Calcul_S(const Domaine_dis_base& domaine_dis, const Domaine_Cl_dis_base& domaine_Cl_dis,const DoubleTab& vitesse)
{
  const Domaine_VEF&       domaine_VEF = ref_cast(Domaine_VEF,domaine_dis);
  const Domaine_Cl_VEF& domaine_Cl_VEF = ref_cast(Domaine_Cl_VEF,domaine_Cl_dis);
 
  DoubleTab S_face;
  init_tenseur_face(S_face,domaine_VEF,2);
  calcul_tenseur_face(S_face,S_elem_,domaine_VEF,domaine_Cl_VEF);
 
 
  for (int face=0; face<nfaces_; face++)
    {
      double somme = 0.;
      for (int i=0; i<Objet_U::dimension; i++)
        for (int j=0; j<Objet_U::dimension; j++)
          somme += S_face(face,i,j)*S_face(face,i,j);
      S_[face] = sqrt(2.*somme);
    }
}
 
// Calcul d'un tenseur aux faces a partir d'un tenseur aux elements
DoubleTab& Modele_Shih_Zhu_Lumley_VEF::calcul_tenseur_face(DoubleTab& Tenseur_face, const DoubleTab& Tenseur_elem,
                                                           const Domaine_VEF& domaine_VEF, const Domaine_Cl_VEF& domaine_Cl_VEF) const
{
  assert_espace_virtuel_vect(Tenseur_elem);
  const IntTab& face_voisins = domaine_VEF.face_voisins();
  int nb_faces = domaine_VEF.nb_faces();
 
  const Conds_lim& les_cl = domaine_Cl_VEF.les_conditions_limites();
  int nb_cl=les_cl.size();
  const DoubleVect& volumes = domaine_VEF.volumes();
 
  for (int n_bord=0; n_bord<nb_cl; n_bord++)
    {
      const Cond_lim& la_cl = domaine_Cl_VEF.les_conditions_limites(n_bord);
      const Front_VF& le_bord = ref_cast(Front_VF,la_cl->frontiere_dis());
      int ndeb = le_bord.num_premiere_face();
      int nfin = ndeb + le_bord.nb_faces();
 
      if (sub_type(Periodique,la_cl.valeur()))
        {
          for (int fac=ndeb; fac<nfin; fac++)
            {
              int poly1 = face_voisins(fac,0);
              int poly2 = face_voisins(fac,1);
              double a=volumes(poly1)/(volumes(poly1)+volumes(poly2));
              double b=volumes(poly2)/(volumes(poly1)+volumes(poly2));
              for (int i=0; i<dimension; i++)
                for (int j=0; j<dimension; j++)
                  Tenseur_face(fac,i,j) = a*Tenseur_elem(poly1,i,j) + b*Tenseur_elem(poly2,i,j);
            }
        }
      else
        {
          for (int fac=ndeb; fac<nfin; fac++)
            {
              int poly1 = face_voisins(fac,0);
              for (int i=0; i<dimension; i++)
                for (int j=0; j<dimension; j++)
                  Tenseur_face(fac,i,j) = Tenseur_elem(poly1,i,j);
            }
        }
    }
  int n0 = domaine_VEF.premiere_face_int();
  for (int fac = n0; fac<nb_faces; fac++)
    {
      int poly1 = face_voisins(fac,0);
      int poly2 = face_voisins(fac,1);
      double a=volumes(poly1)/(volumes(poly1)+volumes(poly2));
      double b=volumes(poly2)/(volumes(poly1)+volumes(poly2));
      for (int i=0; i<dimension; i++)
        for (int j=0; j<dimension; j++)
          Tenseur_face(fac,i,j) = a*Tenseur_elem(poly1,i,j) + b*Tenseur_elem(poly2,i,j);
    }
 
  return Tenseur_face;
}
 
// Initialisation d'une matrice aux elements
void Modele_Shih_Zhu_Lumley_VEF::init_tenseur_elem(DoubleTab& Tenseur, const Domaine_VEF& domaine_VEF, const int ndim)  const
{
  if(!Tenseur.get_md_vector())
    {
      if (ndim==1)
        Tenseur.resize(0, Objet_U::dimension);
      else if (ndim==2)
        Tenseur.resize(0, Objet_U::dimension, Objet_U::dimension);
      domaine_VEF.domaine().creer_tableau_elements(Tenseur);
    }
  Tenseur = 0.;
}
 
// Initialisation d'une matrice aux elements
void Modele_Shih_Zhu_Lumley_VEF::init_tenseur_elem(DoubleTab& Tenseur, const Domaine_VEF& domaine_VEF, const int ndim)
{
  if(!Tenseur.get_md_vector())
    {
      if (ndim==1)
        Tenseur.resize(0, Objet_U::dimension);
      else if (ndim==2)
        Tenseur.resize(0, Objet_U::dimension, Objet_U::dimension);
      domaine_VEF.domaine().creer_tableau_elements(Tenseur);
    }
  Tenseur = 0.;
}
 
 
// Initialisation d'une matrice aux faces
void  Modele_Shih_Zhu_Lumley_VEF::init_tenseur_face(DoubleTab& Tenseur,const Domaine_VEF& domaine_VEF, const int ndim) const
{
  if(!Tenseur.get_md_vector())
    {
      if (ndim==1)
        Tenseur.resize(0, Objet_U::dimension);
      else if (ndim==2)
        Tenseur.resize(0, Objet_U::dimension, Objet_U::dimension);
      domaine_VEF.creer_tableau_faces(Tenseur);
    }
  Tenseur = 0.;
}
 
// Initialisation d'une matrice aux faces
void  Modele_Shih_Zhu_Lumley_VEF::init_tenseur_face(DoubleTab& Tenseur,const Domaine_VEF& domaine_VEF, const int ndim)
{
  if(!Tenseur.get_md_vector())
    {
      if (ndim==1)
        Tenseur.resize(0, Objet_U::dimension);
      else if (ndim==2)
        Tenseur.resize(0, Objet_U::dimension, Objet_U::dimension);
      domaine_VEF.creer_tableau_faces(Tenseur);
    }
  Tenseur = 0.;
}
 
void Modele_Shih_Zhu_Lumley_VEF::Calcul_C1 (const Domaine_dis_base& domaine_dis, const Domaine_Cl_dis_base& domaine_Cl_dis,const DoubleTab& vitesse,const DoubleTab& K_Eps, const double EPS_MIN)
{
  for (int face=0; face<nfaces_; face++)
    {
      double eta;
      // Definition d'un C1 extremum base sur EPS_MIN = 1e-10
//       if (K_Eps(face,1) <= EPS_MIN)
//         eta = S_(face) * K_Eps(face,0)/BR_EPS;
//       else
//         eta = S_(face) * K_Eps(face,0)/K_Eps(face,1);
 
      eta = S_(face) * K_Eps(face,0)/( K_Eps(face,1) + BR_EPS );
 
      C1_[face] = std::max( 0.43 , eta / ( 5. + eta ) );
    }
 
}
 
void Modele_Shih_Zhu_Lumley_VEF::Calcul_C1_BiK (const Domaine_dis_base& domaine_dis, const Domaine_Cl_dis_base& domaine_Cl_dis,const DoubleTab& vitesse,const DoubleTab& K, const DoubleTab& Eps, const double EPS_MIN)
{
  for (int face=0; face<nfaces_; face++)
    {
      double eta;
 
      eta = S_(face) * K(face)/( Eps(face) + BR_EPS );
 
      C1_[face] = std::max( 0.43 , eta / ( 5. + eta ) );
    }
 
}
 
void  Modele_Shih_Zhu_Lumley_VEF::Calcul_Cmu_et_S(const Domaine_dis_base& domaine_dis, const Domaine_Cl_dis_base& domaine_Cl_dis,const DoubleTab& vitesse, const DoubleTab& K_Eps, const double EPS_MIN)
{
  const Domaine_VEF&       domaine_VEF = ref_cast(Domaine_VEF,domaine_dis);
  const Domaine_Cl_VEF& domaine_Cl_VEF = ref_cast(Domaine_Cl_VEF,domaine_Cl_dis);
 
  DoubleTab S_face;
  init_tenseur_face(S_face,domaine_VEF,2);
  DoubleTab R_face;
  init_tenseur_face(R_face,domaine_VEF,2);
 
  calcul_tenseur_face(S_face,S_elem_,domaine_VEF,domaine_Cl_VEF);
  calcul_tenseur_face(R_face,R_elem_,domaine_VEF,domaine_Cl_VEF);
 
  DoubleTab U_etoile_face;
  domaine_VEF.creer_tableau_faces(U_etoile_face);
  DoubleTab As_face;
  domaine_VEF.creer_tableau_faces(As_face);
 
  for (int face=0; face<nfaces_; face++)
    {
      double somme  = 0.;
      double somme2 = 0.;
      double somme3 = 0.;
 
      for (int i=0; i<Objet_U::dimension; i++)
        {
          for (int j=0; j<Objet_U::dimension; j++)
            {
              somme  += S_face(face,i,j)*S_face(face,i,j)+R_face(face,i,j)*R_face(face,i,j);
              somme2 += S_face(face,i,j)*S_face(face,i,j);
              for (int k=0; k<Objet_U::dimension; k++)
                {
                  somme3 += S_face(face,i,j)*S_face(face,j,k)*S_face(face,k,i);
                }
            }
        }
 
      U_etoile_face(face)  = sqrt(somme);
      double S_tilde       = sqrt(somme2);
      S_[face]             = sqrt(2.*somme2);
      double val_cosinus   = sqrt(6.) * somme3 / ( S_tilde * S_tilde * S_tilde +1.e-20 );
 
      if ( val_cosinus > 1. )
        {
          val_cosinus = 1. ;
        }
      else if ( val_cosinus < -1. )
        {
          val_cosinus = -1. ;
        }
 
      As_face(face)       = sqrt(6.) * cos ( (1./3.) * acos( val_cosinus ) );
 
//       // Definition d'un Cmu extremum base sur EPS_MIN = 1e-10
//       if (K_Eps(face,1) <= EPS_MIN)
//         Cmu_[face] = 1./(A0_+As_face(face)*U_etoile_face(face)*K_Eps(face,0)/BR_EPS);
//       else
//         Cmu_[face] = 1./(A0_+As_face(face)*U_etoile_face(face)*K_Eps(face,0)/K_Eps(face,1));
 
      Cmu_[face] = 1./(A0_+As_face(face)*U_etoile_face(face)*K_Eps(face,0)/( K_Eps(face,1) + BR_EPS));
 
    }
}
 
void  Modele_Shih_Zhu_Lumley_VEF::Calcul_Cmu_et_S_BiK(const Domaine_dis_base& domaine_dis, const Domaine_Cl_dis_base& domaine_Cl_dis,const DoubleTab& vitesse, const DoubleTab& K, const DoubleTab& Eps, const double EPS_MIN)
{
  const Domaine_VEF&       domaine_VEF = ref_cast(Domaine_VEF,domaine_dis);
  const Domaine_Cl_VEF& domaine_Cl_VEF = ref_cast(Domaine_Cl_VEF,domaine_Cl_dis);
 
  DoubleTab S_face;
  init_tenseur_face(S_face,domaine_VEF,2);
  DoubleTab R_face;
  init_tenseur_face(R_face,domaine_VEF,2);
 
  calcul_tenseur_face(S_face,S_elem_,domaine_VEF,domaine_Cl_VEF);
  calcul_tenseur_face(R_face,R_elem_,domaine_VEF,domaine_Cl_VEF);
 
  DoubleTab U_etoile_face;
  domaine_VEF.creer_tableau_faces(U_etoile_face);
  DoubleTab As_face;
  domaine_VEF.creer_tableau_faces(As_face);
 
  for (int face=0; face<nfaces_; face++)
    {
      double somme  = 0.;
      double somme2 = 0.;
      double somme3 = 0.;
 
      for (int i=0; i<Objet_U::dimension; i++)
        {
          for (int j=0; j<Objet_U::dimension; j++)
            {
              somme  += S_face(face,i,j)*S_face(face,i,j)+R_face(face,i,j)*R_face(face,i,j);
              somme2 += S_face(face,i,j)*S_face(face,i,j);
              for (int k=0; k<Objet_U::dimension; k++)
                {
                  somme3 += S_face(face,i,j)*S_face(face,j,k)*S_face(face,k,i);
                }
            }
        }
 
      U_etoile_face(face)  = sqrt(somme);
      double S_tilde       = sqrt(somme2);
      S_[face]             = sqrt(2.*somme2);
      double val_cosinus   = sqrt(6.) * somme3 / ( S_tilde * S_tilde * S_tilde +1.e-20 );
 
      if ( val_cosinus > 1. )
        {
          val_cosinus = 1. ;
        }
      else if ( val_cosinus < -1. )
        {
          val_cosinus = -1. ;
        }
 
      As_face(face)       = sqrt(6.) * cos ( (1./3.) * acos( val_cosinus ) );
 
//       // Definition d'un Cmu extremum base sur EPS_MIN = 1e-10
//       if (K_Eps(face,1) <= EPS_MIN)
//         Cmu_[face] = 1./(A0_+As_face(face)*U_etoile_face(face)*K_Eps(face,0)/BR_EPS);
//       else
//         Cmu_[face] = 1./(A0_+As_face(face)*U_etoile_face(face)*K_Eps(face,0)/K_Eps(face,1));
 
      Cmu_[face] = 1./(A0_+As_face(face)*U_etoile_face(face)*K(face)/( Eps(face) + BR_EPS));
 
    }
}
 
 
void  Modele_Shih_Zhu_Lumley_VEF::associer(const Domaine_dis_base& domaine_dis,
                                           const Domaine_Cl_dis_base& domaine_Cl_dis)
{
  le_dom_VEF = ref_cast(Domaine_VEF,domaine_dis);
  le_dom_Cl_VEF = ref_cast(Domaine_Cl_VEF,domaine_Cl_dis);
 
  Initialisation( domaine_dis );
}
 
void  Modele_Shih_Zhu_Lumley_VEF::mettre_a_jour(double temps)
{
  ;
}
 
void Modele_Shih_Zhu_Lumley_VEF::Contributions_Sources(const Domaine_dis_base& domaine_dis, const Domaine_Cl_dis_base& domaine_Cl_dis,const DoubleTab& vitesse,const DoubleTab& K_Eps, const double EPS_MIN)
{
  Calcul_Tenseurs_S_et_R_elem(domaine_dis,domaine_Cl_dis,vitesse);
  Calcul_Cmu_et_S(domaine_dis,domaine_Cl_dis,vitesse,K_Eps,EPS_MIN);
  Calcul_C1(domaine_dis,domaine_Cl_dis,vitesse,K_Eps,EPS_MIN);
}
 
void Modele_Shih_Zhu_Lumley_VEF::Contributions_Sources_Paroi(const Domaine_dis_base& domaine_dis, const Domaine_Cl_dis_base& domaine_Cl_dis,const DoubleTab& vitesse,const DoubleTab& K_Eps, const double EPS_MIN,
                                                             const DoubleTab& visco, const DoubleTab& visco_turb,const DoubleTab& loi_paroi,const int idt)
{
  Calcul_Tenseurs_S_et_R_elem_Paroi(domaine_dis,domaine_Cl_dis,vitesse,visco,visco_turb,loi_paroi,idt);
  Calcul_Cmu_et_S(domaine_dis,domaine_Cl_dis,vitesse,K_Eps,EPS_MIN);
  Calcul_C1(domaine_dis,domaine_Cl_dis,vitesse,K_Eps,EPS_MIN);
}
 
void Modele_Shih_Zhu_Lumley_VEF::Contributions_Sources_BiK(const Domaine_dis_base& domaine_dis, const Domaine_Cl_dis_base& domaine_Cl_dis,const DoubleTab& vitesse,const DoubleTab& K, const DoubleTab& Eps, const double EPS_MIN)
{
  Calcul_Tenseurs_S_et_R_elem(domaine_dis,domaine_Cl_dis,vitesse);
  Calcul_Cmu_et_S_BiK(domaine_dis,domaine_Cl_dis,vitesse,K,Eps,EPS_MIN);
  Calcul_C1_BiK(domaine_dis,domaine_Cl_dis,vitesse,K,Eps,EPS_MIN);
}
 
void Modele_Shih_Zhu_Lumley_VEF::Contributions_Sources_Paroi_BiK(const Domaine_dis_base& domaine_dis, const Domaine_Cl_dis_base& domaine_Cl_dis,const DoubleTab& vitesse,const DoubleTab& K, const DoubleTab& Eps, const double EPS_MIN,
                                                                 const DoubleTab& visco, const DoubleTab& visco_turb,const DoubleTab& loi_paroi,const int idt)
{
  Calcul_Tenseurs_S_et_R_elem_Paroi(domaine_dis,domaine_Cl_dis,vitesse,visco,visco_turb,loi_paroi,idt);
  Calcul_Cmu_et_S_BiK(domaine_dis,domaine_Cl_dis,vitesse,K,Eps,EPS_MIN);
  Calcul_C1_BiK(domaine_dis,domaine_Cl_dis,vitesse,K,Eps,EPS_MIN);
}