Op_Rot_VEFP1B.cpp

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#include <Champ_P1_isoP1Bulle.h>
#include <Op_Div_VEFP1B_Elem.h>
 
#include <Domaine_Cl_VEF.h>
#include <Op_Rot_VEFP1B.h>
#include <Matrice_Morse.h>
 
#include <TRUSTList.h>
#include <Front_VF.h>
#include <Domaine.h>
 
Implemente_instanciable(Op_Rot_VEFP1B, "Op_Rot_VEFPreP1B_P1NC", Operateur_base);
 
Sortie& Op_Rot_VEFP1B::printOn(Sortie& s) const { return s << que_suis_je(); }
 
Entree& Op_Rot_VEFP1B::readOn(Entree& s) { return s; }
 
void Op_Rot_VEFP1B::associer_coins(const ArrOfInt& arr) { coins = arr; }
 
int est_un_coin(int num, const ArrOfInt& coins)
{
  for (int i = 0; i < coins.size_array(); i++)
    if (num == coins[i])
      return 1;
  return 0;
}
 
void Op_Rot_VEFP1B::associer(const Domaine_dis_base& domaine_dis, const Domaine_Cl_dis_base& domaine_Cl_dis, const Champ_Inc_base&)
{
  le_dom_vef = ref_cast(Domaine_VEF, domaine_dis);
  la_zcl_vef = ref_cast(Domaine_Cl_VEF, domaine_Cl_dis);
}
 
DoubleTab& Op_Rot_VEFP1B::calculer(const DoubleTab& vorticite, DoubleTab& rot) const
{
  rot = 0;
  return ajouter(vorticite, rot);
 
}
 
//Method for computing the curl of the vorticity.
DoubleTab& Op_Rot_VEFP1B::ajouter(const DoubleTab& vorticite, DoubleTab& rot) const
{
  const Domaine_VEF& domaine_VEF = le_dom_vef.valeur();
  const Domaine& domaine = domaine_VEF.domaine();
  const IntTab& face_voisins = domaine_VEF.face_voisins();
 
  int elem0, elem1;
  int sommet_global, face_opp;
 
  //Some useful variables
  DoubleTab vecteur_normal_elem0(dimension);
  DoubleTab vecteur_normal_elem1(dimension);
  DoubleTab vecteur_normal_opp_elem0(dimension);
  DoubleTab vecteur_normal_opp_elem1(dimension);
 
  IntList sommets_elem0, sommets_elem1;
  IntList faces_opp_elem0, faces_opp_elem1;
 
  // Process the boundary conditions:
  // for now, no boundary conditions for the vorticity.
  // Free outlet = no boundary conditions ????
 
  // Process the internal faces, i.e. without boundary conditions
  int premiere_face_int = domaine_VEF.premiere_face_int();
  int nb_faces = domaine_VEF.nb_faces();
 
  if (dimension > 2)
    {
      Cerr << "Error OpRot: only the 2D case is supported at the moment" << finl;
      Process::exit();
    }
 
  for (int face = premiere_face_int; face < nb_faces; face++)
    {
      int modulo;
      elem0 = face_voisins(face, 0);
      elem1 = face_voisins(face, 1);
 
      // Compute the curl of the vorticity: P0 part of the unknown
 
      /* Compute the appropriate tangent vector for the P0 part of the unknown */
      vecteur_normal_elem0 = vecteur_normal(face, elem0);
      vecteur_normal_elem1 = vecteur_normal(face, elem1);
 
      /* Compute the curl of the vorticity properly */
      /* P0 part */
      for (int composante = 0; composante < dimension; composante++)
        {
          modulo = (1 + composante) % dimension;
          rot(face, composante) += pow(-1., modulo) * (vorticite(elem0) * vecteur_normal_elem0(modulo) + vorticite(elem1) * vecteur_normal_elem1(modulo));
 
        }
 
      // Compute the curl of the vorticity: P1 part of the unknown
 
      /* We need for each triangle to know the list */
      /* of vertices belonging to it and the faces */
      /* opposite to these vertices */
      if (!sommets_elem0.est_vide())
        sommets_elem0.vide();
      if (!sommets_elem1.est_vide())
        sommets_elem1.vide();
      if (!faces_opp_elem0.est_vide())
        faces_opp_elem0.vide();
      if (!faces_opp_elem1.est_vide())
        faces_opp_elem1.vide();
 
      for (int i = 0; i < domaine.nb_som_elem(); i++)
        {
          sommets_elem0.add_if_not(domaine.sommet_elem(elem0, i));
          faces_opp_elem0.add_if_not(domaine_VEF.elem_faces(elem0, i));
          sommets_elem1.add_if_not(domaine.sommet_elem(elem1, i));
          faces_opp_elem1.add_if_not(domaine_VEF.elem_faces(elem1, i));
        }
 
      /* Now, compute the contribution to the curl */
      /* for the P1 part of the unknown */
      /* WARNING: given the definition of the vector space */
      /* generating omega, the vertex with the LARGEST index */
      /* must NOT be taken into account */
      for (int composante = 0; composante < dimension; composante++)
        {
          modulo = (1 + composante) % dimension;
 
          ///////////////////////////////
          /* Partie (w,curl Psi_c e_i) */
          //////////////////////////////
          double sommation_sommets = 0.;
          //Compute for "elem0"
          for (int i = 0; i < sommets_elem0.size(); i++)
            {
              sommet_global = sommets_elem0[i];
 
              //To eliminate the last vertex
              if (sommet_global != domaine.nb_som() - 1)
                sommation_sommets += vorticite(domaine.nb_elem() + sommet_global);
            }
 
          rot(face, composante) += -pow(-1., modulo) / (dimension + 1) * vecteur_normal_elem0(modulo) * sommation_sommets;
 
          //Compute for "elem1"
          sommation_sommets = 0.;
          for (int i = 0; i < sommets_elem1.size(); i++)
            {
              sommet_global = sommets_elem1[i];
 
              //To eliminate the last vertex
              if (sommet_global != domaine.nb_som() - 1)
                sommation_sommets += vorticite(domaine.nb_elem() + sommet_global);
            }
 
          rot(face, composante) += -pow(-1., modulo) / (dimension + 1) * vecteur_normal_elem1(modulo) * sommation_sommets;
 
          //////////////////////////////////////
          /* End of (w,curl Psi_c e_i) part */
          /////////////////////////////////////
          ///////////////////////////////
          /* (curl w,Psi_c e_i) part */
          //////////////////////////////
          //Compute for "elem0"
          sommation_sommets = 0.;
          for (int i = 0; i < sommets_elem0.size(); i++)
            {
              sommet_global = sommets_elem0[i];
 
              //To eliminate the last vertex
              if (sommet_global != domaine.nb_som() - 1)
                {
                  face_opp = faces_opp_elem0[i];
                  vecteur_normal_opp_elem0 = vecteur_normal(face_opp, elem0);
 
                  sommation_sommets += vorticite(domaine.nb_elem() + sommet_global) * vecteur_normal_opp_elem0(modulo);
                }
 
            }
 
          rot(face, composante) += pow(-1., modulo) / (dimension * (dimension + 1)) * sommation_sommets;
 
          //Compute for "elem1"
          sommation_sommets = 0.;
          for (int i = 0; i < sommets_elem1.size(); i++)
            {
              sommet_global = sommets_elem1[i];
 
              //To eliminate the last vertex
              if (sommet_global != domaine.nb_som() - 1)
                {
                  face_opp = faces_opp_elem1[i];
                  vecteur_normal_opp_elem1 = vecteur_normal(face_opp, elem1);
 
                  sommation_sommets += vorticite(domaine.nb_elem() + sommet_global) * vecteur_normal_opp_elem1(modulo);
                }
 
            }
 
          // C_h^t
          rot(face, composante) += pow(-1., modulo) / (dimension * (dimension + 1)) * sommation_sommets;
 
          //////////////////////////////////////
          /* End of (curl w,Psi_c e_i) part */
          /////////////////////////////////////
        } //end of for loop over "composante" for the P1 part of the unknown
 
    } //end of for loop over "face"
 
  return rot;
 
}
 
DoubleTab Op_Rot_VEFP1B::vecteur_normal(const int face, const int elem) const
{
  assert(dimension == 2);
 
  const Domaine_VEF& domaine_VEF = le_dom_vef.valeur();
  DoubleTab le_vecteur_normal(dimension);
 
  for (int composante = 0; composante < dimension; composante++)
    le_vecteur_normal(composante) = domaine_VEF.face_normales(face, composante) * domaine_VEF.oriente_normale(face, elem);
 
  return le_vecteur_normal;
}