Portance_interfaciale_PolyMAC_MPFA.cpp

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#include <Portance_interfaciale_PolyMAC_MPFA.h>
#include <Portance_interfaciale_base.h>
#include <Champ_Face_PolyMAC_MPFA.h>
#include <Milieu_composite.h>
#include <Pb_Multiphase.h>
 
Implemente_instanciable(Portance_interfaciale_PolyMAC_MPFA, "Portance_interfaciale_Face_PolyMAC_MPFA", Source_Portance_interfaciale_base);
 
Sortie& Portance_interfaciale_PolyMAC_MPFA::printOn(Sortie& os) const { return os; }
Entree& Portance_interfaciale_PolyMAC_MPFA::readOn(Entree& is) {  return Source_Portance_interfaciale_base::readOn(is); }
 
void Portance_interfaciale_PolyMAC_MPFA::ajouter_blocs(matrices_t matrices, DoubleTab& secmem, const tabs_t& semi_impl) const
{
  const Pb_Multiphase& pbm = ref_cast(Pb_Multiphase, equation().probleme());
  const Champ_Face_PolyMAC_MPFA& ch = ref_cast(Champ_Face_PolyMAC_MPFA, equation().inconnue());
  const Domaine_PolyMAC_MPFA& domaine = ref_cast(Domaine_PolyMAC_MPFA, equation().domaine_dis());
  const IntTab& f_e = domaine.face_voisins(), &fcl = ch.fcl();
  const DoubleTab& n_f = domaine.face_normales(), &vf_dir = domaine.volumes_entrelaces_dir();
  const DoubleVect& pe = equation().milieu().porosite_elem(), &pf = equation().milieu().porosite_face(), &ve = domaine.volumes(), &vf = domaine.volumes_entrelaces(), &fs = domaine.face_surfaces();
  const DoubleTab& pvit = ch.passe(),
                   &alpha = pbm.equation_masse().inconnue().passe(),
                    &press = ref_cast(QDM_Multiphase, pbm.equation_qdm()).pression().passe(),
                     &temp = pbm.equation_energie().inconnue().passe(),
                      &rho = equation().milieu().masse_volumique().passe(),
                       &mu = ref_cast(Fluide_base, equation().milieu()).viscosite_dynamique().passe(),
                        &grad_v = equation().probleme().get_champ("gradient_vitesse").passe(),
                         &vort  = equation().probleme().get_champ("vorticite").passe(),
                          *d_bulles = (equation().probleme().has_champ("diametre_bulles")) ? &equation().probleme().get_champ("diametre_bulles").passe() : nullptr,
                           *k_turb = (equation().probleme().has_champ("k")) ? &equation().probleme().get_champ("k").passe() : nullptr ;
 
  const Milieu_composite& milc = ref_cast(Milieu_composite, equation().milieu());
 
  int e, f, c, d, d2, i, k, l, n, N = ch.valeurs().line_size(), Np = press.line_size(), D = dimension, Nk = (k_turb) ? (*k_turb).dimension(1) : 1 ,
                                  cR = (rho.dimension_tot(0) == 1), cM = (mu.dimension_tot(0) == 1), nf_tot = domaine.nb_faces_tot();
  DoubleTrav vr_l(N,D), scal_ur(N), scal_u(N), pvit_l(N, D), vort_l( D==2 ? 1 :D), grad_l(D,D), scal_grad(D); // Requis pour corrections vort et u_l-u-g
  double fac_e, fac_f, vl_norm;
  const Portance_interfaciale_base& correlation_pi = ref_cast(Portance_interfaciale_base, correlation_.valeur());
 
  Portance_interfaciale_base::input_t in;
  Portance_interfaciale_base::output_t out;
  in.alpha.resize(N), in.T.resize(N), in.p.resize(N), in.rho.resize(N), in.mu.resize(N), in.sigma.resize(N*(N-1)/2), in.k_turb.resize(N), in.d_bulles.resize(N), in.nv.resize(N, N);
  out.Cl.resize(N, N);
 
  // Et pour les methodes span de la classe Interface pour choper la tension de surface
  const int ne_tot = domaine.nb_elem_tot(), nb_max_sat =  N * (N-1) /2; // oui !! suite arithmetique !!
  DoubleTrav Sigma_tab(ne_tot,nb_max_sat);
 
  // remplir les tabs ...
  for (k = 0; k < N; k++)
    for (l = k + 1; l < N; l++)
      {
        if (milc.has_saturation(k, l))
          {
            Saturation_base& z_sat = milc.get_saturation(k, l);
            const int ind_trav = (k*(N-1)-(k-1)*(k)/2) + (l-k-1); // Et oui ! matrice triang sup !
            // recuperer sigma ...
            const DoubleTab& sig = z_sat.get_sigma_tab();
            // fill in the good case
            for (int ii = 0; ii < ne_tot; ii++) Sigma_tab(ii, ind_trav) = sig(ii);
          }
        else if (milc.has_interface(k, l))
          {
            Interface_base& sat = milc.get_interface(k,l);
            const int ind_trav = (k*(N-1)-(k-1)*(k)/2) + (l-k-1); // Et oui ! matrice triang sup !
            for (i = 0 ; i<ne_tot ; i++) Sigma_tab(i,ind_trav) = sat.sigma(temp(i,k),press(i,k * (Np > 1))) ;
          }
      }
 
 
  /* elements */
  for (e = 0; e < ne_tot; e++)
    {
      /* arguments de coeff */
      for (n=0; n<N; n++)
        {
          in.alpha[n] = alpha(e, n);
          in.p[n]     = press(e, n * (Np > 1));
          in.T[n]     = temp(e, n);
          in.rho[n]   = rho(!cR * e, n);
          in.mu[n]    = mu(!cM * e, n);
          in.d_bulles[n] = (d_bulles) ? (*d_bulles)(e,n) : 0 ;
          for (k = n+1; k < N; k++)
            if (milc.has_interface(n,k))
              {
                const int ind_trav = (n*(N-1)-(n-1)*(n)/2) + (k-n-1);
                in.sigma[ind_trav] = Sigma_tab(e, ind_trav);
              }
          for (k = 0; k < N; k++)
            in.nv(k, n) = ch.v_norm(pvit, pvit, e, -1, k, n, nullptr, nullptr);
        }
      for (n = 0; n <Nk; n++) in.k_turb[n]   = (k_turb) ? (*k_turb)(e,0) : 0;
 
      correlation_pi.coefficient(in, out);
 
      fac_e = beta_*pe(e) * ve(e);
      i = nf_tot + D * e;
 
      // Experimentation sur la portance : on enleve la partie parallele a la vitesse du liquide
      vl_norm = 0;
      scal_ur = 0;
      for (d = 0 ; d < D ; d++) vl_norm += pvit(i+d, n_l)*pvit(i+d, n_l);
      vl_norm = std::sqrt(vl_norm);
      if (vl_norm > 1.e-6)
        {
          for (k = 0; k < N; k++)
            for (d = 0 ; d < D ; d++) scal_ur(k) += pvit(i+d, n_l)/vl_norm * (pvit(i+d, k) -pvit(i+d, n_l));
          for (k = 0; k < N; k++)
            for (d = 0 ; d < D ; d++) vr_l(k, d)  = pvit(i+d, n_l)/vl_norm * scal_ur(k) ;
        }
      else for (k=0 ; k<N ; k++)
          for (d=0 ; d<D ; d++) vr_l(k, d) = pvit(i+d, k) -pvit(i+d, n_l) ;
 
 
      if (D==2)
        {
          for (k = 0; k < N; k++)
            if (k!= n_l) // gas phase
              {
                secmem(i, n_l) += fac_e * out.Cl(n_l, k) * vr_l(k, 1) * vort(e, 0) ;
                secmem(i,  k ) -= fac_e * out.Cl(n_l, k) * vr_l(k, 1) * vort(e, 0) ;
                secmem(i+1,n_l)-= fac_e * out.Cl(n_l, k) * vr_l(k, 0) * vort(e, 0) ;
                secmem(i+1, k )+= fac_e * out.Cl(n_l, k) * vr_l(k, 0) * vort(e, 0) ;
              } // 100% explicit
        }
 
      if (D==3)
        {
          for (k = 0; k < N; k++)
            if (k!= n_l) // gas phase
              {
                secmem(i, n_l) += fac_e * out.Cl(n_l, k) * (vr_l(k, 1) * vort(e, 2*N+n_l) - vr_l(k, 2) * vort(e, 1*N+n_l)) ;
                secmem(i,  k ) -= fac_e * out.Cl(n_l, k) * (vr_l(k, 1) * vort(e, 2*N+n_l) - vr_l(k, 2) * vort(e, 1*N+n_l)) ;
                secmem(i+1,n_l)+= fac_e * out.Cl(n_l, k) * (vr_l(k, 2) * vort(e, 0*N+n_l) - vr_l(k, 0) * vort(e, 2*N+n_l)) ;
                secmem(i+1, k )-= fac_e * out.Cl(n_l, k) * (vr_l(k, 2) * vort(e, 0*N+n_l) - vr_l(k, 0) * vort(e, 2*N+n_l)) ;
                secmem(i+2,n_l)+= fac_e * out.Cl(n_l, k) * (vr_l(k, 0) * vort(e, 1*N+n_l) - vr_l(k, 1) * vort(e, 0*N+n_l)) ;
                secmem(i+2, k )-= fac_e * out.Cl(n_l, k) * (vr_l(k, 0) * vort(e, 1*N+n_l) - vr_l(k, 1) * vort(e, 0*N+n_l)) ;
              } // 100% explicit
        }
 
    }
 
  // Faces en dimension 2 et 3
  for (f = 0 ; f<domaine.nb_faces() ; f++)
    if (fcl(f, 0) < 2)
      {
        in.alpha=0., in.T=0., in.p=0., in.rho=0., in.mu=0., in.sigma=0., in.k_turb=0., in.d_bulles=0., in.nv=0.;
        for ( c = 0; c < 2 && (e = f_e(f, c)) >= 0; c++)
          {
            for (n = 0; n < N; n++)
              {
                in.alpha[n] += vf_dir(f, c)/vf(f) * alpha(e, n);
                in.p[n]     += vf_dir(f, c)/vf(f) * press(e, n * (Np > 1));
                in.T[n]     += vf_dir(f, c)/vf(f) * temp(e, n);
                in.rho[n]   += vf_dir(f, c)/vf(f) * rho(!cR * e, n);
                in.mu[n]    += vf_dir(f, c)/vf(f) * mu(!cM * e, n);
                in.d_bulles[n] += (d_bulles) ? vf_dir(f, c)/vf(f) *(*d_bulles)(e,n) : 0 ;
                for (k = n+1; k < N; k++)
                  if (milc.has_interface(n,k))
                    {
                      const int ind_trav = (n*(N-1)-(n-1)*(n)/2) + (k-n-1);
                      in.sigma[ind_trav] += vf_dir(f, c) / vf(f) * Sigma_tab(e, ind_trav);
                    }
                for (k = 0; k < N; k++)
                  in.nv(k, n) += vf_dir(f, c)/vf(f) * ch.v_norm(pvit, pvit, e, f, k, n, nullptr, nullptr);
              }
            for (n = 0; n <Nk; n++) in.k_turb[n]   += (k_turb)   ? vf_dir(f, c)/vf(f) * (*k_turb)(e,0) : 0;
          }
 
        correlation_pi.coefficient(in, out);
 
        grad_l = 0; // we fill grad_l so that grad_l(d, d2) = du_d/dx_d2 by averaging between both elements
        for (d = 0 ; d<D ; d++)
          for (d2 = 0 ; d2<D ; d2++)
            for (c=0 ; c<2  && (e = f_e(f, c)) >= 0; c++)
              grad_l(d, d2) += vf_dir(f, c)/vf(f)*grad_v(nf_tot + D*e + d2 , n_l * D + d) ;
        //We replace the n_l components by the one calculated without interpolation to elements
        scal_grad = 0 ; // scal_grad(d) = grad(u_d).n_f
        for (d = 0 ; d<D ; d++)
          for (d2 = 0 ; d2<D ; d2++)
            scal_grad(d) += grad_l(d, d2)*n_f(f, d2)/fs(f);
        for (d = 0 ; d<D ; d++)
          for (d2 = 0 ; d2<D ; d2++)
            grad_l(d, d2) += (grad_v(f ,n_l*D+d) - scal_grad(d)) * n_f(f, d2)/fs(f);
        // We calculate the local vorticity using this local gradient
        if (D==2)
          {
            vort_l(0) = grad_l(1, 0) - grad_l(0, 1); // dUy/dx - dUx/dy
          }
        else if (D==3)
          {
            vort_l(0) = grad_l(2, 1) - grad_l(1, 2); // dUz/dy - dUy/dz
            vort_l(1) = grad_l(0, 2) - grad_l(2, 0); // dUx/dz - dUz/dx
            vort_l(2) = grad_l(1, 0) - grad_l(0, 1); // dUy/dx - dUx/dy
          }
        // We also need to calculate relative velocity at the face
        pvit_l = 0 ;
        for (d = 0 ; d<D ; d++)
          for (k = 0 ; k<N ; k++)
            for (c=0 ; c<2 && (e = f_e(f, c)) >= 0; c++)
              pvit_l(k, d) += vf_dir(f, c)/vf(f)*pvit(nf_tot+D*e+d, k) ;
        scal_u = 0;
        for (k = 0 ; k<N ; k++)
          for (d = 0 ; d<D ; d++)
            scal_u(k) += pvit_l(k, d)*n_f(f, d)/fs(f);
        for (k = 0 ; k<N ; k++)
          for (d = 0 ; d<D ; d++)
            pvit_l(k, d) += (pvit(f, k) - scal_u(k)) * n_f(f, d)/fs(f) ; // Corect velocity at the face
 
        // Relative velocity parallel to the liquid flow
        vl_norm = 0;
        scal_ur = 0;
        for (d = 0 ; d < D ; d++) vl_norm += pvit_l(n_l, d)*pvit_l(n_l, d);
        vl_norm = std::sqrt(vl_norm);
        if (vl_norm > 1.e-6)
          {
            for (k = 0; k < N; k++)
              for (d = 0 ; d < D ; d++) scal_ur(k) += pvit_l(n_l, d)/vl_norm * (pvit_l(k, d) -pvit_l(n_l, d));
            for (k = 0; k < N; k++)
              for (d = 0 ; d < D ; d++) vr_l(k, d)  = pvit_l(n_l, d)/vl_norm * scal_ur(k) ;
          }
        else for (k=0 ; k<N ; k++)
            for (d=0 ; d<D ; d++) vr_l(k, d) = pvit_l(k, d)-pvit_l(n_l, d) ;
 
 
        // Use local vairables for the calculation of secmem ; 100% explicit
        fac_f = beta_*pf(f) * vf(f);
        for (k = 0; k < N; k++)
          if (k!= n_l) // gas phase
            {
              if (D==2)
                {
                  secmem(f, n_l) += fac_f * n_f(f, 0)/fs(f) * out.Cl(n_l, k) * vr_l(k, 1) * vort_l(0) ;
                  secmem(f,  k ) -= fac_f * n_f(f, 0)/fs(f) * out.Cl(n_l, k) * vr_l(k, 1) * vort_l(0) ;
                  secmem(f, n_l) -= fac_f * n_f(f, 1)/fs(f) * out.Cl(n_l, k) * vr_l(k, 0) * vort_l(0) ;
                  secmem(f,  k ) += fac_f * n_f(f, 1)/fs(f) * out.Cl(n_l, k) * vr_l(k, 0) * vort_l(0) ;
                }
              else if (D==3)
                {
                  secmem(f, n_l) += fac_f * n_f(f, 0)/fs(f) * out.Cl(n_l, k) * (vr_l(k, 1) * vort_l(2) - vr_l(k, 2) * vort_l(1)) ;
                  secmem(f,  k ) -= fac_f * n_f(f, 0)/fs(f) * out.Cl(n_l, k) * (vr_l(k, 1) * vort_l(2) - vr_l(k, 2) * vort_l(1)) ;
                  secmem(f, n_l) += fac_f * n_f(f, 1)/fs(f) * out.Cl(n_l, k) * (vr_l(k, 2) * vort_l(0) - vr_l(k, 0) * vort_l(2)) ;
                  secmem(f,  k ) -= fac_f * n_f(f, 1)/fs(f) * out.Cl(n_l, k) * (vr_l(k, 2) * vort_l(0) - vr_l(k, 0) * vort_l(2)) ;
                  secmem(f, n_l) += fac_f * n_f(f, 2)/fs(f) * out.Cl(n_l, k) * (vr_l(k, 0) * vort_l(1) - vr_l(k, 1) * vort_l(0)) ;
                  secmem(f,  k ) -= fac_f * n_f(f, 2)/fs(f) * out.Cl(n_l, k) * (vr_l(k, 0) * vort_l(1) - vr_l(k, 1) * vort_l(0)) ;
                }
            }
      }
}
 
void Portance_interfaciale_PolyMAC_MPFA::mettre_a_jour(double temps)
{
  const Pb_Multiphase& pbm = ref_cast(Pb_Multiphase, equation().probleme());
  /* Wobble si besoin */
  if ((bool(wobble)) || (bool(C_lift)))
    {
      const Champ_Face_PolyMAC_MPFA& ch = ref_cast(Champ_Face_PolyMAC_MPFA, equation().inconnue());
      const DoubleTab& pvit = equation().inconnue().passe(),
                       &alpha = pbm.equation_masse().inconnue().passe(),
                        &mu = ref_cast(Fluide_base, equation().milieu()).viscosite_dynamique().passe(),
                         &rho = equation().milieu().masse_volumique().passe(),
                          &press = ref_cast(QDM_Multiphase, pbm.equation_qdm()).pression().passe(),
                           &temp = pbm.equation_energie().inconnue().passe(),
                            *d_bulles = (equation().probleme().has_champ("diametre_bulles")) ? &equation().probleme().get_champ("diametre_bulles").passe() : nullptr,
                             *k_turb = (equation().probleme().has_champ("k")) ? &equation().probleme().get_champ("k").passe() : nullptr ;
 
      const Domaine_VF& domaine = ref_cast(Domaine_VF, equation().domaine_dis());
      const Milieu_composite& milc = ref_cast(Milieu_composite, equation().milieu());
 
      int i, k, l, e, n,
          N = pvit.line_size(), Np = press.line_size(), Nk = (k_turb) ? (*k_turb).dimension(1) : 1 , ne_tot=domaine.nb_elem_tot(),
          cR = (rho.dimension_tot(0) == 1), cM = (mu.dimension_tot(0) == 1);
      DoubleTrav Sigma_tab(ne_tot,N*(N-1)/2);
 
      for (k = 0; k < N; k++)
        for (l = k + 1; l < N; l++)
          {
            if (milc.has_saturation(k, l))
              {
                Saturation_base& z_sat = milc.get_saturation(k, l);
                const int ind_trav = (k*(N-1)-(k-1)*(k)/2) + (l-k-1); // Et oui ! matrice triang sup !
                // recuperer sigma ...
                const DoubleTab& sig = z_sat.get_sigma_tab();
                // fill in the good case
                for (int ii = 0; ii < ne_tot; ii++) Sigma_tab(ii, ind_trav) = sig(ii);
              }
            else if (milc.has_interface(k, l))
              {
                Interface_base& sat = milc.get_interface(k,l);
                const int ind_trav = (k*(N-1)-(k-1)*(k)/2) + (l-k-1); // Et oui ! matrice triang sup !
                for (i = 0 ; i<ne_tot ; i++) Sigma_tab(i,ind_trav) = sat.sigma(temp(i,k),press(i,k * (Np > 1))) ;
              }
          }
 
      if ((bool(wobble)))
        {
          DoubleTab& tab_wobble = wobble->valeurs();
          for (k=0 ; k<N ; k++)
            if (k!=n_l) // k gas phase
              for (e=0 ; e<ne_tot ; e++)
                {
                  int ind_trav = (k>n_l) ? (n_l*(N-1)-(n_l-1)*(n_l)/2) + (k-n_l-1) : (k*(N-1)-(k-1)*(k)/2) + (n_l-k-1);
                  double dv_loc = std::max(ch.v_norm(pvit, pvit, e, -1, k, n_l, nullptr, nullptr), 1.e-6);
                  double Eo = g_ * std::abs(rho(e,n_l)-rho(e,k)) * (*d_bulles)(e,k)*(*d_bulles)(e,k)/std::max(Sigma_tab(e,ind_trav), 1.e-6);
                  tab_wobble(e,k) = Eo * (*k_turb)(e,n_l)/(dv_loc*dv_loc) ;
                }
        }
 
      if (C_lift)
        {
          DoubleTab& tab_cl = C_lift->valeurs();
 
          const Portance_interfaciale_base& correlation_pi = ref_cast(Portance_interfaciale_base, correlation_.valeur());
 
          Portance_interfaciale_base::input_t in;
          Portance_interfaciale_base::output_t out;
          in.alpha.resize(N), in.T.resize(N), in.p.resize(N), in.rho.resize(N), in.mu.resize(N), in.sigma.resize(N*(N-1)/2), in.k_turb.resize(N), in.d_bulles.resize(N), in.nv.resize(N, N);
          out.Cl.resize(N, N);
          for (e = 0; e < ne_tot; e++)
            {
              /* arguments de coeff */
              for (n=0; n<N; n++)
                {
                  in.alpha[n] = alpha(e, n);
                  in.p[n]     = press(e, n * (Np > 1));
                  in.T[n]     = temp(e, n);
                  in.rho[n]   = rho(!cR * e, n);
                  in.mu[n]    = mu(!cM * e, n);
                  in.d_bulles[n] = (d_bulles) ? (*d_bulles)(e,n) : 0 ;
                  for (k = n+1; k < N; k++)
                    if (milc.has_interface(n,k))
                      {
                        const int ind_trav = (n*(N-1)-(n-1)*(n)/2) + (k-n-1);
                        in.sigma[ind_trav] = Sigma_tab(e, ind_trav);
                      }
                  for (k = 0; k < N; k++)
                    in.nv(k, n) = ch.v_norm(pvit, pvit, e, -1, k, n, nullptr, nullptr);
                }
              for (n = 0; n <Nk; n++) in.k_turb[n]   = (k_turb) ? (*k_turb)(e,0) : 0;
 
              correlation_pi.coefficient(in, out);
 
              for (k=0 ; k<N ; k++)
                if (k!=n_l) // k gas phase
                  tab_cl(e,k) = out.Cl(n_l, k) / ( std::max(in.rho[n_l], 1.e-6) * std::max(in.alpha[k], 1.e-6) ) ;
            }
        }
    }
}