Eq_ODVM.cpp

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#include <Eq_ODVM.h>
#include <Modele_turbulence_hyd_base.h>
#include <EcrFicCollecte.h>
 
#define KAPPA 0.415
#define PR_T 0.9
#define R 0.5
 
Implemente_instanciable(Eq_ODVM,"Eq_ODVM",Objet_U);
 
 
Sortie& Eq_ODVM::printOn(Sortie& os) const
{
  return os;
}
 
 
Entree& Eq_ODVM::readOn( Entree& is)
{
  return is;
}
 
/*void Eq_ODVM::init_profile_CHT(double T0, double Flux, double alpha, double nu)
  {
  Flux = Flux/u_tau;
  double Pr = nu/alpha;
  double Beta = pow(3.85*pow(Pr,1./3.)-1.3,2.)+2.12*log(Pr);
  Tm(0) = T0;
  for(int i=1;i<N;i++)
  {
  double y_plus = Y(i)*u_tau/nu;
  double Gamma = (0.01*pow(Pr*y_plus,4.))/(1.+5.*pow(Pr,3.)*y_plus);
  double T_plus = Pr*y_plus*exp(-Gamma);
  T_plus += (2.12*log(1.+y_plus) + Beta)*exp(-1./(Gamma+1e-20));
  Tm(i) = T0 + T_plus*Flux;
  }
  }*/
 
 
void Eq_ODVM::init_profile_CHT(double Ts, double Tf)
{
  for(int i=0; i<N; i++) Tm(i) = Ts + Y(i)*(Tf-Ts)/Y(N-1);
}
 
 
void Eq_ODVM::initialiser(int n,double G, double dist, double T0, double Tn, double t0, double K,
                          double f)
{
  N = n;
  gamma = G;
  //dy = dist/(N-1);
  y0 = 0.;
  //yn = dist;
  facteur = f;
  tn = t0;
  Tmles_n   = Tn;
  Tples_n   = 0.;
  Tples2m_n = 0.;
  Tw_m_n    = T0;
  Theta = K/(K+1.);
  compt = 0;
  u_tau = 0.;
 
  Y.resize(N);
  F.resize(N);
  Tm.resize(N);
  Tp.resize(N);
  qb.resize(N);
  qf.resize(N);
  Q.resize(N);
  alpha_tot.resize(N);
  SEC_MEM.resize(N);
 
  eps.resize(N);
  prod.resize(N);
  mol_diff.resize(N);
  tur_diff.resize(N);
 
  mailler_fin(dist, facteur);
 
  for(int i=0; i<N; i++)
    {
      //Y(i)        = i*dy;
      Tm(i)        = (Tn - T0)*Y(i)/dist + T0;
      Tp(i)        = 0.;
      qb(i)        = 0.;
      qf(i)        = 0.;
      eps(i)        = 0.;
      prod(i)        = 0.;
      mol_diff(i)        = 0.;
      tur_diff(i)        = 0.;
      SEC_MEM(i)  = 0.;
      Q(i)         = 1.;
    }
  dy_w = Y(1) - Y(0);
 
}
 
void Eq_ODVM::mailler_fin(double dist, double un_facteur)
{
 
  //********************************
  // Mise en place du maillage fin *
  //********************************
 
  EcrFicCollecte fic_mesh("tble_mesh.dat",ios::app); // ouverture du fichier conv.dat
  Y(0)=0.;
 
  if(un_facteur==1.)
    {
      dy=dist/(N-1);
      for(int i=1 ; i<N ; i++)
        {
          Y(i)=i*dy;
        }
    }
  else
    {
      dy = dist/(1.-pow(un_facteur,N-1));
      for (int i=1 ; i<N ; i++)
        {
          Y(i)=dy*(1-pow(un_facteur,i));
        }
    }
 
  for(int i=0 ; i<N ; i++)
    {
      fic_mesh << i << " " << Y(i) << finl;
    }
  fic_mesh << finl;
 
  //************************************
  // Fin mise en place du maillage fin *
  //************************************
}
 
void Eq_ODVM::calculer_dt_stab()
{
  dt=1000.;
  for(int i=1; i<N-1; i++)
    {
      dy=0.5*(Y(i+1)-Y(i-1));
      if((0.5*dy*dy/alpha_tot[i])<dt) dt = 0.5*dy*dy/alpha_tot[i];
    }
}
 
 
void Eq_ODVM::calculer_secmem_qb( )
{
  double Ap, Am;
 
  SEC_MEM[0] = 0;
 
  for(int i=1; i<N-1; i++)
    {
      dy=0.5*(Y(i+1)-Y(i-1));
      Ap = alpha*(qb[i+1]-qb[i])/(Y(i+1)-Y(i));
      Am = alpha*(qb[i]-qb[i-1])/(Y(i)-Y(i-1));
      mol_diff[i] = (Ap - Am)/(dy);
 
      Ap = (qb[i+1]-qb[i])/(Y(i+1)-Y(i))*(alpha_tot[i+1]+alpha_tot[i]-2.*alpha)/2.;
      Am = (qb[i]-qb[i-1])/(Y(i)-Y(i-1))*(alpha_tot[i]+alpha_tot[i-1]-2.*alpha)/2.;
      tur_diff[i] = (Ap - Am)/(dy);
 
      if(i==1)
        {
          qb[1]=qb[0];
          mol_diff[1] = 0;
          tur_diff[1] = 0;
        }
 
      prod[i] = (alpha_tot[i]-alpha)*(Tm[i+1]-Tm[i-1])*(Tm[i+1]-Tm[i-1])/4./dy/dy;
 
      double f = (1+tanh(0.08*(30-Y[i]*u_tau/nu)))/2.;
      eps[i] = (1-f)*sqrt(CMU) * qb[i]/R * u_tau*u_tau/(nu+(alpha_tot[i]-alpha)*PR_T);
      eps[i] += f*2.*(qb[1]-qb[0])*alpha/(Y(1)-Y(0))/(Y(1)-Y(0));
 
      SEC_MEM[i] = mol_diff[i]+tur_diff[i] + prod[i] - eps[i];
    }
 
}
 
 
void Eq_ODVM::calculer_secmem_qf( )
{
  double Ap, Am;
 
  SEC_MEM[0] = 0;
 
  for(int i=1; i<N-1; i++)
    {
      dy=0.5*(Y(i+1)-Y(i-1));
      // Pour Flux impose :
      if(i==1) qf[0]=qf[1];
 
      Ap = alpha*(qf[i+1]-qf[i])/(Y(i+1)-Y(i));
      Am = alpha*(qf[i]-qf[i-1])/(Y(i)-Y(i-1));
      mol_diff[i] = (Ap - Am)/(dy);
 
      Ap = (qf[i+1]-qf[i])/(Y(i+1)-Y(i))*(alpha_tot[i+1]+alpha_tot[i]-2.*alpha)/2.;
      Am = (qf[i]-qf[i-1])/(Y(i)-Y(i-1))*(alpha_tot[i]+alpha_tot[i-1]-2.*alpha)/2.;
      tur_diff[i] = (Ap - Am)/(dy);
 
      prod[i] = (alpha_tot[i]-alpha)*(Tm[i+1]-Tm[i-1])*(Tm[i+1]-Tm[i-1])/dy/dy;
 
      double f = (1+tanh(0.08*(30-Y[i]*u_tau/nu)))/2.;
      eps[i] = (1-f)*sqrt(CMU) * qf[i]/R * u_tau*u_tau/(nu+(alpha_tot[i]-alpha)*PR_T);
      eps[i] += f*2.*(qf[1]-qf[0])*alpha/(Y(1)-Y(0))/(Y(1)-Y(0));
 
      SEC_MEM[i] = mol_diff[i]+tur_diff[i] + prod[i] - eps[i];
    }
 
}
 
 
void Eq_ODVM::aller_au_temps(double dtn1, double Tw_np1, double Tnp1, double diff, double visco_cin, int type_pb)
{
 
  compt++;
 
  double Ap, Am;
  alpha = diff;
  nu = visco_cin;
 
  // Calculating the filtered values of the LES at time (n+1)
  Tmles_np1        = gamma*Tnp1 + (1.-gamma)*Tmles_n;
  Tples_np1         = Tnp1 - Tmles_np1;
  Tples2m_np1        = gamma*(Tnp1-Tmles_np1)*(Tnp1-Tmles_np1) + (1.-gamma)*Tples2m_n;
  Tw_m_np1        = gamma*Tw_np1 + (1.-gamma)*Tw_m_n;
 
  if(compt==1)
    {
      Tw_m_np1 = Tw_np1;
    }
 
 
 
  // Calculating the temperature variance ratio for forcing.
  if(compt>=6)
    for(int i=0; i<N; i++) Q(i) = sqrt(std::fabs(qb(i))/std::fabs(qb(N-1)+1.e-20));
 
  // Calculating the turbulent diffusivity.
  double D;
  double A=19.;
  for(int i=0; i<N; i++)
    {
      D = pow(1. - exp(-Y[i]*u_tau/nu/A),2.);
      alpha_tot[i] = alpha + KAPPA*D*Y[i]*u_tau/PR_T;
    }
 
  //Cerr << "u_tau = " << u_tau << finl;
 
  while(tn<dtn1) // Going from LES value at (n) to (n+1).
    {
      if(type_pb==1) Tm(0)   = Tw_m_np1;        // Setting lower BC for mean temp.
      Tm(N-1) = Tmles_np1;                // Setting upper BC for mean temp.
      Tp(N-1) = Tples_np1;                // Setting BC for temp. fluct.
      qb(N-1) = Tples2m_np1;                // Setting BC for variance eqn.
      qf(N-1) = Tples2m_np1;                // Setting BC for variance eqn.
 
      calculer_dt_stab();
      if((dtn1-tn)<dt) dt = dtn1-tn;
 
 
      // Time advancement for MEAN TEMPERATURE AND TEMPERATURE FLUCTUATIONS
      // Isothermal case
      int i;
      if(type_pb==1)
        {
          for(i=0; i<N-1; i++)
            {
              if(i==0) SEC_MEM(i)=0;
              else
                {
                  dy=0.5*(Y(i+1)-Y(i-1));
                  Ap = ((Tm[i+1]-Tm[i])/(Y(i+1)-Y(i)))*(alpha_tot[i+1]+alpha_tot[i])/2.;
                  Am = ((Tm[i]-Tm[i-1])/(Y(i)-Y(i-1)))*(alpha_tot[i]+alpha_tot[i-1])/2.;
                  SEC_MEM[i] = (Ap-Am)/dy;
                }
            }
          for(i=0; i<N-1; i++)
            {
              Tm[i] = Tm[i] + SEC_MEM[i]*dt + F[i]*dt;
              Tp[i] = Q[i]*Tp[N-1];
            }
        }
 
 
      //CHT case
      else if(type_pb==2)
        {
          Ap = ((Tm[2]-Tm[1])/(Y(2)-Y(1)))*(alpha_tot[2]+alpha_tot[1])/2.;
          Am = Tw_m_np1;                        // En fait ici Tw_m_np1 est egal au flux filtre que l'on passe par Paroi_ODVM.
 
          SEC_MEM[1] = (Ap-Am)/(0.5*(Y(2)-Y(0)));
          for(i=2; i<N-1; i++)
            {
              dy=0.5*(Y(i+1)-Y(i-1));
              Ap = ((Tm[i+1]-Tm[i])/(Y(i+1)-Y(i)))*(alpha_tot[i+1]+alpha_tot[i])/2.;
              Am = ((Tm[i]-Tm[i-1])/(Y(i)-Y(i-1)))*(alpha_tot[i]+alpha_tot[i-1])/2.;
              SEC_MEM[i] = (Ap-Am)/dy;
            }
          for(i=1; i<N-1; i++)
            {
              Tm[i] = Tm[i] + SEC_MEM[i]*dt;
              Tp[i] = Q[i]*Tp[N-1];
            }
          dy=Y(1)-Y(0);
          Tm[0] = Tm[1] - Tw_m_np1*dy/alpha;        // En fait ici Tw_m_np1 est egal au flux filtre que l'on passe par Paroi_ODVM.
          Tp[0] = Q[0]*Tp[N-1];
        }
 
 
 
      // Time advancement of TRANSPORT EQUATION FOR TEMPERATURE VARIANCE FOR ISOFLUX CONDITION
      if(type_pb==2)
        {
          calculer_secmem_qf();
          for(i=1; i<N-1; i++)
            {
              qf(i) = qf(i) + SEC_MEM(i)*dt;
            }
          qf(0) = qf(1);
          qb(0) = Theta*Theta*qf(0);
        }
 
 
      // Time advancement of TRANSPORT EQUATION FOR TEMPERATURE VARIANCE FOR the CHT case
      calculer_secmem_qb();
      for(i=1; i<N-1; i++)
        {
          qb(i) = qb(i) + SEC_MEM(i)*dt;
        }
 
      tn+=dt;
    }
  // End of time advancement from (n) to (n+1).
 
 
  // Putting the values of (n+1) at (n) for next time iterations.
  tn        = dtn1;
  Tmles_n   = Tmles_np1;
  Tples_n   = Tples_np1;
  Tples2m_n = Tples2m_np1;
  Tw_m_n    = Tw_m_np1;
 
}