Op_Grad_PolyMAC_MPFA_Face.cpp

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#include <Op_Grad_PolyMAC_MPFA_Face.h>
#include <Champ_Elem_PolyMAC_MPFA.h>
#include <Masse_PolyMAC_MPFA_Face.h>
#include <Champ_Face_PolyMAC_MPFA.h>
#include <Neumann_sortie_libre.h>
#include <Domaine_Cl_PolyMAC_family.h>
#include <Navier_Stokes_std.h>
#include <Pb_Multiphase.h>
#include <Probleme_base.h>
#include <Matrix_tools.h>
#include <Array_tools.h>
#include <Milieu_base.h>
#include <Periodique.h>
#include <TRUSTTrav.h>
#include <Check_espace_virtuel.h>
#include <Dirichlet_homogene.h>
#include <Schema_Temps_base.h>
#include <Dirichlet.h>
#include <Symetrie.h>
 
Implemente_instanciable(Op_Grad_PolyMAC_MPFA_Face, "Op_Grad_PolyMAC_MPFA_Face", Op_Grad_PolyMAC_HFV_Face);
 
Sortie& Op_Grad_PolyMAC_MPFA_Face::printOn(Sortie& s) const { return s << que_suis_je() ; }
 
Entree& Op_Grad_PolyMAC_MPFA_Face::readOn(Entree& s) { return s ; }
 
void Op_Grad_PolyMAC_MPFA_Face::completer()
{
  Operateur_Grad_base::completer();
 
  const Domaine_PolyMAC_MPFA& domaine = ref_cast(Domaine_PolyMAC_MPFA, ref_domaine.valeur());
 
  /* requires a ghost layer of width 1 */
  if (domaine.domaine().nb_joints() && domaine.domaine().joint(0).epaisseur() < 1)
    {
      Cerr << "Op_Grad_PolyMAC_MPFA_Face : largeur de joint insuffisante (minimum 1)!" << finl;
      Process::exit();
    }
 
  if (sub_type(Navier_Stokes_std, equation()) && ref_cast(Navier_Stokes_std, equation()).has_grad_P())
    {
      Champ_Face_PolyMAC_MPFA& gradp = ref_cast(Champ_Face_PolyMAC_MPFA, ref_cast(Navier_Stokes_std, equation()).grad_P());
      gradp.init_auxiliary_variables();
    }
}
 
void Op_Grad_PolyMAC_MPFA_Face::update_grad(int full_stencil) const
{
  const Domaine_PolyMAC_MPFA& domaine = ref_cast(Domaine_PolyMAC_MPFA, ref_domaine.valeur());
  const Champ_Face_PolyMAC_MPFA& ch = ref_cast(Champ_Face_PolyMAC_MPFA, equation().inconnue());
  const DoubleTab& press = le_champ_inco ? le_champ_inco->valeurs() : ref_cast(Navier_Stokes_std, equation()).pression().valeurs(),
                   *alp = sub_type(Pb_Multiphase, equation().probleme()) ? &ref_cast(Pb_Multiphase, equation().probleme()).equation_masse().inconnue().passe() : nullptr;
  const int M = press.line_size();
  double t_past = equation().inconnue().recuperer_temps_passe();
  if (!domaine.domaine().mesh_update_required() && !full_stencil && (alp ? (last_gradp_ >= t_past) : (last_gradp_ != -DBL_MAX)))
    return; //already computed at this time step, nothing to do
 
  /* gradient */
  domaine.fgrad(M, 1, ref_dcl->les_conditions_limites(), ch.fcl(), nullptr, nullptr, 1, full_stencil, fgrad_d, fgrad_e, fgrad_c);
  last_gradp_ = t_past;
}
 
void Op_Grad_PolyMAC_MPFA_Face::dimensionner_blocs(matrices_t matrices, const tabs_t& semi_impl) const
{
  const Domaine_PolyMAC_MPFA& domaine = ref_cast(Domaine_PolyMAC_MPFA, ref_domaine.valeur());
  const Champ_Face_PolyMAC_MPFA& ch = ref_cast(Champ_Face_PolyMAC_MPFA, equation().inconnue());
  const IntTab& f_e = domaine.face_voisins(), &e_f = domaine.elem_faces(), &fcl = ch.fcl();
  const DoubleTab& nf = domaine.face_normales(), &xp = domaine.xp(), &xv = domaine.xv();
  const DoubleVect& fs = domaine.face_surfaces(), &ve = domaine.volumes();
  const int ne_tot = domaine.nb_elem_tot(), nf_tot = domaine.nb_faces_tot(), D = dimension, N = ch.valeurs().line_size(),
            M = (le_champ_inco ? le_champ_inco->valeurs() : ref_cast(Navier_Stokes_std, equation()).pression().valeurs()).line_size();
 
  update_grad(domaine.domaine().deformable() || sub_type(Pb_Multiphase, equation().probleme())); //triggers gradient computation
 
  Stencil sten_p(0, 2), sten_v(0, 2); //stencils (NS, pressure), (NS, velocity)
 
  const std::string& nom_inc = ch.le_nom().getString();
  Matrice_Morse *mat_p = matrices["pression"],
                 *mat_v = !semi_impl.count(nom_inc) && matrices.count(nom_inc) ? matrices.at(nom_inc) : nullptr,
                  mat2_p, mat2_v;
 
  std::map<int, std::set<int>> dpb_v, dgp_pb; //dependencies: velocities -(dpb_v)-> boundary pressures -(dgp_pb)-> gradient
 
  if (mat_v)
    for (int f = 0; f < domaine.nb_faces_tot(); f++)
      if (fcl(f, 0) > 1)
        {
          const int e = f_e(f, 0);
          int m = 0;
          for (int n = 0; n < N; n++, m += (M > 1))
            {
              int i = nf_tot + D * e;
              for (int d = 0; d < D; d++, i++)
                if (std::fabs(nf(f, d)) > 1e-6 * fs(f))
                  {
                    dpb_v[M * f + m].insert(N * i + n);
 
                    for (auto j = mat_v->get_tab1()(N * i + n) - 1; j < mat_v->get_tab1()(N * i + n + 1) - 1; j++)
                      dpb_v[M * f + m].insert(mat_v->get_tab2()(j) - 1);
                  }
            }
        }
 
  /* at faces: gradient at faces + filling of dgp_pb */
  std::vector<std::set<int>> dfgpf(N); //dfgpf[n][idx] = coeff: dependency on pfb variables (present in dpf_ve)
  for (int f = 0; f < domaine.nb_faces_tot(); f++)
    {
      /* |f| grad p */
      for (int i = fgrad_d(f); i < fgrad_d(f + 1); i++) //internal face -> multi-point flux
        {
          const int e = fgrad_e(i);
          int m = 0;
          for (int n = 0; n < N; n++, m += (M > 1))
            {
              if (f < domaine.nb_faces() && e < ne_tot)
                sten_p.append_line(N * f + n, M * e + m);
 
              if (e >= ne_tot && dpb_v.count(M * (e - ne_tot) + m))
                dfgpf[n].insert(M * (e - ne_tot) + m);
            }
        }
 
      /* face -> vf(f) * phi grad p */
      if (fcl(f, 0) < 2 && f < domaine.nb_faces())
        {
          int m = 0;
          for (int n = 0; n < N; n++, m += (M > 1))
            for (auto &c : dfgpf[n])
              dgp_pb[N * f + n].insert(M * c + m);
        }
 
      /* upwind/downwind elements -> ve(e) * phi grad p */
      for (int i = 0; i < 2; i++)
        {
          const int e = f_e(f, i);
          if (e < 0) continue; // virtual element
 
          if (e < domaine.nb_elem())
            for (int d = 0; d < D; d++)
              if (fs(f) * std::fabs(xv(f, d) - xp(e, d)) > 1e-6 * ve(e))
                {
                  int m = 0;
                  for (int n = 0; n < N; n++, m += (M > 1))
                    for (auto &c : dfgpf[n])
                      dgp_pb[N * (nf_tot + D * e + d) + n].insert(M * c + m);
                }
        }
 
      for (int n = 0; n < N; n++)
        dfgpf[n].clear();
    }
 
  /* at elements: gradient at elements */
  for (int e = 0; e < domaine.nb_elem(); e++)
    for (int i = 0; i < e_f.dimension(1); i++)
      {
        const int f = e_f(e, i);
        if (f < 0) continue; // face in-existante
 
        for (int j = fgrad_d(f); j < fgrad_d(f + 1); j++)
          {
            const int eb = fgrad_e(j);
            if (eb < ne_tot)
              for (int d = 0; d < D; d++)
                if (std::fabs(fs(f) * (xv(f, d) - xp(e, d))) > 1e-6 * ve(e))
                  {
                    int m = 0;
                    for (int n = 0; n < N; n++, m += (M > 1))
                      sten_p.append_line(N * (nf_tot + D * e + d) + n, M * eb + m);
                  }
          }
      }
 
  /* sten_v in a single row */
  for (auto &i_sc : dgp_pb)
    for (auto &c : i_sc.second)
      for (auto &k : dpb_v.at(c))
        sten_v.append_line(i_sc.first, k);
 
  /* allocation / filling */
  tableau_trier_retirer_doublons(sten_p);
  tableau_trier_retirer_doublons(sten_v);
 
  if (mat_p)
    {
      Matrix_tools::allocate_morse_matrix(N * (nf_tot + ne_tot * D), M * ne_tot, sten_p, mat2_p);
 
      if (mat_p->nb_colonnes())
        *mat_p += mat2_p;
      else
        *mat_p = mat2_p;
    }
 
  if (mat_v)
    {
      Matrix_tools::allocate_morse_matrix(N * (nf_tot + ne_tot * D), N * (nf_tot + ne_tot * D), sten_v, mat2_v);
 
      if (mat_v->nb_colonnes())
        *mat_v += mat2_v;
      else
        *mat_v = mat2_v;
    }
}
 
void Op_Grad_PolyMAC_MPFA_Face::ajouter_blocs(matrices_t matrices, DoubleTab& secmem, const tabs_t& semi_impl) const
{
  const Domaine_PolyMAC_MPFA& domaine = ref_cast(Domaine_PolyMAC_MPFA, ref_domaine.valeur());
  const Champ_Face_PolyMAC_MPFA& ch = ref_cast(Champ_Face_PolyMAC_MPFA, equation().inconnue());
  const Conds_lim& cls = ref_dcl->les_conditions_limites();
  const IntTab& f_e = domaine.face_voisins(), &fcl = ch.fcl();
  const DoubleTab& nf = domaine.face_normales(), &xp = domaine.xp(), &xv = domaine.xv(), &vfd = domaine.volumes_entrelaces_dir(),
                   &press = semi_impl.count("pression") ? semi_impl.at("pression") : (le_champ_inco ? le_champ_inco->valeurs() : ref_cast(Navier_Stokes_std, equation()).pression().valeurs()),
                    *alp = sub_type(Pb_Multiphase, equation().probleme()) ? &ref_cast(Pb_Multiphase, equation().probleme()).equation_masse().inconnue().passe() : nullptr;
 
  const DoubleVect& fs = domaine.face_surfaces(), &ve = domaine.volumes(), &pe = equation().milieu().porosite_elem(), &pf = equation().milieu().porosite_face();
 
  const int ne_tot = domaine.nb_elem_tot(), nf_tot = domaine.nb_faces_tot(), D = dimension, N = secmem.line_size(), M = press.line_size();
 
  update_grad(domaine.domaine().deformable());
 
  const std::string& nom_inc = ch.le_nom().getString();
  Matrice_Morse *mat_p = !semi_impl.count("pression") && matrices.count("pression") ? matrices.at("pression") : nullptr, *mat_v =
                           !semi_impl.count(nom_inc) && matrices.count(nom_inc) ? matrices.at(nom_inc) : nullptr;
 
  DoubleTrav gb(nf_tot, M), gf(N), a_v(N); //-grad p at boundaries, (grad p)_f, alpha * vol product
 
  //std::map<int, std::map<int, double>> dgp_gb, dgb_v; //velocity dependencies -(dgb_v)-> -grad p at boundaries -(dgp_gb)-> grad p elsewhere
  dgp_gb_.clear();
  dgb_v_.clear();
 
  for (int f = 0; f < domaine.nb_faces_tot(); f++)
    if (fs(f) > 0 && fcl(f, 0) > 1)  //Dirichlet/Symmetry: neighbor pressure + correction from the NS equation in that cell
      {
        const int e = f_e(f, 0);
        int m = 0;
        for (int n = 0; n < N; n++, m += (M > 1))
          {
            double fac = 1. / (fs(f) * ve(e));
            std::map<int, double> *dv = mat_v ? &dgb_v_[M * f + m] : nullptr; //dv[index in mat_NS] = coeff
            int i = nf_tot + D * e;
            for (int d = 0; d < D; d++, i++)
              if (std::fabs(nf(f, d)) > 1e-6 * fs(f)) //loop over directions: i is the index in mat_v
                {
                  gb(f, m) += fac * nf(f, d) * secmem(i, n); //constant part -> directly into pfb
 
                  if (dv)
                    for (auto j = mat_v->get_tab1()(N * i + n) - 1; j < mat_v->get_tab1()(N * i + n + 1) - 1; j++) //linear part -> into dgb_v
                      if (mat_v->get_coeff()(j))
                        (*dv)[mat_v->get_tab2()(j) - 1] -= fac * nf(f, d) * mat_v->get_coeff()(j);
                }
          }
      }
 
  for (int f = 0; f < domaine.nb_faces(); f++)
    if (fgrad_d(f + 1) == fgrad_d(f))
      abort();
 
  /* at faces */
  //std::vector<std::map<int, double>> dgf_pe(N), dgf_gb(N); //dependence of [grad p]_f on element pressures and on grad p at boundary faces
  if (dgf_pe_.size()==0)
    {
      dgf_pe_.resize(N);
      dgf_gb_.resize(N);
    }
 
  for (int f = 0; f < domaine.nb_faces_tot(); f++)
    {
      for (int n = 0; n < N; n++)
        dgf_pe_[n].clear(), dgf_gb_[n].clear();
 
      a_v = 0.;
 
      for (int i = 0; i < 2; i++)
        {
          const int e = f_e(f, i);
          if (e < 0) continue;
 
          for (int n = 0; n < N; n++)
            a_v(n) += vfd(f, i) * (alp ? (*alp)(e, n) : 1);
        }
 
      /* |f| grad p */
      gf = 0.;
      for (int i = fgrad_d(f); i < fgrad_d(f + 1); i++)
        {
          const int e = fgrad_e(i);
          const int fb = e - ne_tot;
          int m = 0;
 
          for (int n = 0; n < N; n++, m += (M > 1))
            {
              const double fac = fgrad_c(i, m);
              const double val = (e < ne_tot ? press(e, m) : fcl(fb, 0) == 1 ? ref_cast(Neumann, cls[fcl(fb, 1)].valeur()).flux_impose(fcl(fb, 2), m) : gb(e - ne_tot, m));
 
              gf(n) += fac * val;
 
              if (mat_p && e < ne_tot)
                dgf_pe_[n].push_back({e, fac});
 
              if (mat_v && fb >= 0 && dgb_v_.count(M * fb + m))
                dgf_gb_[n].push_back({M * fb + m, fac});
            }
        }
 
      /* face -> vf(f) * phi grad p */
      if (fcl(f, 0) < 2 && f < domaine.nb_faces())
        {
          int m = 0;
          for (int n = 0; n < N; n++, m += (M > 1))
            {
              const double fac = a_v(n) * pf(f);
              secmem(f, n) -= fac * gf(n);
 
              for (auto &&i_c : dgf_pe_[n])
                (*mat_p)(N * f + n, M * i_c.first + m) += fac * i_c.second;
 
              for (auto &&i_c : dgf_gb_[n])
                dgp_gb_[N * f + n][M * i_c.first + m] += fac * i_c.second;
            }
        }
 
      /* upwind/downwind elements -> ve(e) * phi grad p */
      for (int i = 0; i < 2; i++)
        {
          const int e = f_e(f, i);
          if (e < 0) continue;
 
          if (e < domaine.nb_elem())
            for (int d = 0; d < D; d++)
              if (fs(f) * std::fabs(xv(f, d) - xp(e, d)) > 1e-6 * ve(e))
                {
                  int m = 0;
                  for (int n = 0; n < N; n++, m += (M > 1))
                    {
                      const double fac = (i ? -1 : 1) * fs(f) * pe(e) * (xv(f, d) - xp(e, d)) * (alp ? (*alp)(e, n) : 1);
 
                      secmem(nf_tot + D * e + d, n) -= fac * gf(n);
 
                      for (auto &i_c : dgf_pe_[n])
                        (*mat_p)(N * (nf_tot + D * e + d) + n, M * i_c.first + m) += fac * i_c.second;
 
                      for (auto &i_c : dgf_gb_[n])
                        dgp_gb_[N * (nf_tot + D * e + d) + n][M * i_c.first + m] += fac * i_c.second;
                    }
                }
        }
    }
 
  /* correction of mat_NS: in a single line! */
  if (mat_v)
    for (auto &i_jc : dgp_gb_)
      for (auto &j_c : i_jc.second)
        if (dgb_v_.count(j_c.first))
          for (auto &k_d : dgb_v_.at(j_c.first))
            (*mat_v)(i_jc.first, k_d.first) += j_c.second * k_d.second;
 
}