Champ_Q1NC_implementation.h

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#ifndef Champ_Q1NC_implementation_included
#define Champ_Q1NC_implementation_included
 
#include <Champ_implementation_divers.h>
#include <Frontiere_dis_base.h>
#include <Frontiere.h>
#include <TRUSTTab.h>
 
class Domaine_VEF;
 
class Champ_Q1NC_implementation: public Champ_implementation_divers
{
public:
  ~Champ_Q1NC_implementation() override { }
  inline double fonction_forme_2D(double x, double y, int le_poly, int face);
  inline static double fonction_forme_2D_normalise(double x, double y, int face);
  inline double fonction_forme_3D(double x, double y, double z, int le_poly, int face);
  inline static double fonction_forme_3D_normalise(double x, double y, double z, int face);
  static DoubleTab& Derivee_fonction_forme_2D_normalise(double u, double v, DoubleTab& DF);
  static DoubleTab& Derivee_fonction_forme_3D_normalise(double u, double v, double w, DoubleTab& DF);
 
  DoubleVect& valeur_a_elem(const DoubleVect& position, DoubleVect& val, int le_poly) const override;
  double calcule_valeur_a_elem_compo(double xs, double ys, double zs, int le_poly, int ncomp) const;
  double valeur_a_elem_compo(const DoubleVect& position, int le_poly, int ncomp) const override;
  double valeur_a_sommet_compo(int num_som, int le_poly, int ncomp) const;
  DoubleTab& valeur_aux_elems(const DoubleTab& positions, const IntVect& les_polys, DoubleTab& valeurs) const override;
  DoubleVect& valeur_aux_elems_compo(const DoubleTab& positions, const IntVect& les_polys, DoubleVect& valeurs, int ncomp) const override;
  DoubleTab& valeur_aux_sommets(const Domaine&, DoubleTab&) const override;
  DoubleVect& valeur_aux_sommets_compo(const Domaine&, DoubleVect&, int) const override;
  DoubleTab& remplir_coord_noeuds(DoubleTab& positions) const override;
  int remplir_coord_noeuds_et_polys(DoubleTab& positions, IntVect& polys) const override;
  void transforme_coord2D();
  void transforme_coord3D();
 
protected:
  virtual const Domaine_VEF& domaine_vef() const =0;
  inline DoubleTab& trace(const Frontiere_dis_base& fr, const DoubleTab& y, DoubleTab& x, int distant) const;
  //  virtual void dimensionner_array() = 0;
  //  DoubleVect dummy;
  DoubleTab tab_param;
};
 
inline double Champ_Q1NC_implementation::fonction_forme_2D(double x, double y, int le_poly, int face)
{
  double ksi, eta;
  ksi = tab_param(le_poly, 0) * x + tab_param(le_poly, 1) * y + tab_param(le_poly, 2);
  eta = tab_param(le_poly, 3) * x + tab_param(le_poly, 4) * y + tab_param(le_poly, 5);
  double fonction_de_forme = 1.;
  fonction_de_forme *= fonction_forme_2D_normalise(ksi, eta, face);
  // Cerr << "fonction_de_forme " << fonction_de_forme << finl;
  return fonction_de_forme;
}
 
inline double Champ_Q1NC_implementation::fonction_forme_3D(double x, double y, double z, int le_poly, int face)
{
  double ksi, eta, psi;
 
  ksi = tab_param(le_poly, 0) * x + tab_param(le_poly, 1) * y + tab_param(le_poly, 2) * z + tab_param(le_poly, 3);
  eta = tab_param(le_poly, 4) * x + tab_param(le_poly, 5) * y + tab_param(le_poly, 6) * z + tab_param(le_poly, 7);
  psi = tab_param(le_poly, 8) * x + tab_param(le_poly, 9) * y + tab_param(le_poly, 10) * z + tab_param(le_poly, 11);
  double fonction_de_forme = 1.;
 
  fonction_de_forme *= fonction_forme_3D_normalise(ksi, eta, psi, face);
 
  // Cerr << "ksi " << ksi << " eta " << eta << " psi " << psi << finl;
  return fonction_de_forme;
 
}
 
inline double Champ_Q1NC_implementation::fonction_forme_2D_normalise(double ksi, double eta, int face)
{
  // la fonction de forme est calculer dans la base (ksi), (eta).
  // aux milieu des faces.
  // Psi1(x,y) = 0.25 - 0.5ksi + 0.25(ksi^2 - eta^2)
  // Psi2(x,y) = 0.25 - 0.5eta - 0.25(ksi^2 - eta^2)
  // Psi3(x,y) = 0.25 + 0.5ksi + 0.25(ksi^2 - eta^2)
  // Psi4(x,y) = 0.25 + 0.5eta - 0.25(ksi^2 - eta^2)
 
  double fonction_de_forme_normalisee, carre_ksi = ksi * ksi, carre_eta = eta * eta;
 
  switch(face)
    {
    case 0:
      {
        fonction_de_forme_normalisee = 0.25 - 0.5 * ksi + 0.25 * (carre_ksi - carre_eta);
        break;
      }
    case 1:
      {
        fonction_de_forme_normalisee = 0.25 - 0.5 * eta - 0.25 * (carre_ksi - carre_eta);
        break;
      }
    case 2:
      {
        fonction_de_forme_normalisee = 0.25 + 0.5 * ksi + 0.25 * (carre_ksi - carre_eta);
        break;
      }
    case 3:
      {
        fonction_de_forme_normalisee = 0.25 + 0.5 * eta - 0.25 * (carre_ksi - carre_eta);
        break;
      }
    default:
      {
        Cerr << "Erreur dans Champ_Q1NC_implementation::fonction_forme_2D : " << finl;
        Cerr << "Un quadrangle n'a pas " << face << " faces" << finl;
        Process::exit();
        fonction_de_forme_normalisee = -1;
      }
    }
  return fonction_de_forme_normalisee;
}
 
inline double Champ_Q1NC_implementation::fonction_forme_3D_normalise(double ksi, double eta, double psi, int face)
{
  // la fonction de forme est calculer dans la base (ksi), (eta), (psi).
  // aux milieu des faces.
 
  // Psi0(x,y,z) = 1/6. - 0.5ksi + 1/3.(ksi^2 - eta^2) + 1/6.(eta^2 - psi^2)
  // Psi1(x,y,z) = 1/6. - 0.5eta - 1/6.(ksi^2 - eta^2) + 1/6.(eta^2 - psi^2)
 
  // Psi2(x,y,z) = 1/6. - 0.5psi - 1/6.(ksi^2 - eta^2) + 1/6.(eta^2 - psi^2)
  // Psi3(x,y,z) = 1/6. + 0.5ksi + 1/3.(ksi^2 - eta^2) + 1/6.(eta^2 - psi^2)
 
  // Psi4(x,y,z) = 1/6. + 0.5eta - 1/6.(ksi^2 - eta^2) + 1/6.(eta^2 - psi^2)
  // Psi5(x,y,z) = 1/6. + 0.5psi - 1/6.(ksi^2 - eta^2) + 1/6.(eta^2 - psi^2)
 
  double fonction_de_forme_normalisee;
  double six = 1. / 6., tier = 1. / 3., carre_ksi = ksi * ksi, carre_eta = eta * eta, carre_psi = psi * psi;
  switch(face)
    {
    case 0:
      {
        fonction_de_forme_normalisee = six - 0.5 * ksi + tier * (carre_ksi - carre_eta) + six * (carre_eta - carre_psi);
        break;
      }
    case 1:
      {
        fonction_de_forme_normalisee = six - 0.5 * eta - six * (carre_ksi - carre_eta) + six * (carre_eta - carre_psi);
        break;
      }
    case 2:
      {
        fonction_de_forme_normalisee = six - 0.5 * psi - six * (carre_ksi - carre_eta) - tier * (carre_eta - carre_psi);
        break;
      }
    case 3:
      {
        fonction_de_forme_normalisee = six + 0.5 * ksi + tier * (carre_ksi - carre_eta) + six * (carre_eta - carre_psi);
        break;
      }
    case 4:
      {
        fonction_de_forme_normalisee = six + 0.5 * eta - six * (carre_ksi - carre_eta) + six * (carre_eta - carre_psi);
        break;
      }
    case 5:
      {
        fonction_de_forme_normalisee = six + 0.5 * psi - six * (carre_ksi - carre_eta) - tier * (carre_eta - carre_psi);
        break;
      }
    default:
      {
        Cerr << "Erreur dans Champ_Q1NC_implementation::fonction_forme_2D : " << finl;
        Cerr << "Un quadrangle n'a pas " << face << " faces" << finl;
        fonction_de_forme_normalisee = -1;
        Process::exit();
      }
    }
  return fonction_de_forme_normalisee;
}
 
inline DoubleTab& Champ_Q1NC_implementation::trace(const Frontiere_dis_base& fr, const DoubleTab& y, DoubleTab& x, int distant) const
{
  if (distant)
    fr.frontiere().trace_face_distant(y, x);
  else
    fr.frontiere().trace_face_local(y, x);
  // useless ? x.echange_espace_virtuel();
  return x;
}
 
#endif