CoreFlows/Models/src/FiveEqsTwoFluid.cxx

   1 /*
   2  * FiveEqsTwoFluid.cxx
   3  *
   4  *  Created on: Jan 28, 2015
   5  *      Author: M. Ndjinga
   6  */
   7 #include "FiveEqsTwoFluid.hxx"
   8 #include <cstdlib>
   9
  10 using namespace std;
  11
  12 extern "C" int dgeev_(char *jobvl, char *jobvr, int *n, double *
  13                 a, int *lda, double *wr, double *wi, double *vl,
  14                 int *ldvl, double *vr, int *ldvr, double *work,
  15                 int *lwork, int *info);
  16
  17
  18 FiveEqsTwoFluid::FiveEqsTwoFluid(pressureEstimate pEstimate, int dim){
  19         _Ndim=dim;
  20         _nVar=2*(_Ndim+1)+1;
  21         _nbPhases = 2;
  22         _dragCoeffs=vector<double>(2,0);
  23         _fluides.resize(2);
  24         //Ne pas utiliser la loi de Stephane Dellacherie mais la stiffened gas standard
  25         if (pEstimate==around1bar300K)//EOS at 1 bar and 373K
  26         {
  27                 cout<<"Fluid is water-Gas mixture around saturation point 1 bar and 373 K (100°C)"<<endl;
  28                 *_runLogFile<<"Fluid is water-Gas mixture around saturation point 1 bar and 373 K (100°C)"<<endl;
  29                 _fluides[0] = new StiffenedGas(1.34,1555,373,2.5e6);  //ideal gas law for Gas at pressure 1 bar and temperature 100°C: eref1=2.5e6
  30                 _fluides[1] = new StiffenedGas(958,1e5,373,4.2e5,1543,3769);  //stiffened gas law for water at pressure 1 bar and temperature 100°C: eref2=5e5
  31                 _Tsat=373;//saturation temperature at 1 bar
  32                 _hsatl=4.2e5;//water enthalpy at saturation at 1 bar
  33                 _hsatv=2.5e6;//Gas enthalpy at saturation at 1 bar
  34         }
  35         else//EOS at 155 bars and 618K
  36         {
  37                 cout<<"Fluid is water-Gas mixture around saturation point 155 bars and 618 K (345°C)"<<endl;
  38                 *_runLogFile<<"Fluid is water-Gas mixture around saturation point 155 bars and 618 K (345°C)"<<endl;
  39                 _fluides[0] = new StiffenedGas(102,1.55e7,618,2.44e6, 433,3633);  //stiffened gas law for Gas at pressure 155 bar and temperature 345°C: eref1=2.4e6
  40                 _fluides[1] = new StiffenedGas(594,1.55e7,618,1.6e6, 621,3100);  //stiffened gas law for water at pressure 155 bar and temperature 345°C: eref2=1.6e6
  41                 _Tsat=618;//saturation temperature at 155 bars
  42                 _hsatl=1.63e6;//water enthalpy at saturation at 155 bars
  43                 _hsatv=2.6e6;//Gas enthalpy at saturation at 155 bars
  44         }
  45         _latentHeat=_hsatv-_hsatl;
  46         _intPressCoeff=1.5;
  47 }
  48
  49 void FiveEqsTwoFluid::initialize()
  50 {
  51         cout<<"Initialising the five equation two fluid model"<<endl;
  52         *_runLogFile<<"Initialising the five equation two fluid model"<<endl;
  53
  54         if(static_cast<StiffenedGas*>(_fluides[0])==NULL || static_cast<StiffenedGas*>(_fluides[1])==NULL)
  55                 throw CdmathException("FiveEqsTwoFluid::initialize: both phase must have stiffened gas EOS");
  56
  57         _Uroe = new double[_nVar+1];
  58
  59         _lCon = new PetscScalar[_nVar];//should be deleted in ::terminate
  60         _rCon = new PetscScalar[_nVar];//should be deleted in ::terminate
  61         _JacoMat = new PetscScalar[_nVar*_nVar];//should be deleted in ::terminate
  62
  63         _gravite = vector<double>(_nVar,0);//Not to be confused with _GravityField3d (size _Ndim). _gravite (size _Nvar) is usefull for dealing with source term and implicitation of gravity vector
  64         for(int i=0; i<_Ndim; i++)
  65         {
  66                 _gravite[i+1]=_GravityField3d[i];
  67                 _gravite[i+1 +_Ndim+1]=_GravityField3d[i];
  68         }
  69         _GravityImplicitationMatrix = new PetscScalar[_nVar*_nVar];
  70
  71         if(_saveVelocity){
  72                 _Vitesse1=Field("Gas velocity",CELLS,_mesh,3);//Forcement en dimension 3 pour le posttraitement des lignes de courant
  73                 _Vitesse2=Field("Liquid velocity",CELLS,_mesh,3);//Forcement en dimension 3 pour le posttraitement des lignes de courant
  74         }
  75
  76         if(_entropicCorrection)
  77                 _entropicShift=vector<double>(_nVar);
  78
  79         ProblemFluid::initialize();
  80 }
  81
  82 void FiveEqsTwoFluid::convectionState( const long &i, const long &j, const bool &IsBord){
  83         //sortie: WRoe en (alpha, p, u1, u2, T, dm1,dm2,dalpha1,dp)
  84         //entree: _conservativeVars en (rho1, rho1 u1, rho2, rho2 u2)
  85
  86         _idm[0] = _nVar*i;
  87         for(int k=1; k<_nVar; k++)
  88                 _idm[k] = _idm[k-1] + 1;
  89         VecGetValues(_conservativeVars, _nVar, _idm, _Ui);
  90
  91         _idm[0] = _nVar*j;
  92         for(int k=1; k<_nVar; k++)
  93                 _idm[k] = _idm[k-1] + 1;
  94         if(IsBord)
  95                 VecGetValues(_Uext, _nVar, _idm, _Uj);
  96         else
  97                 VecGetValues(_conservativeVars, _nVar, _idm, _Uj);
  98
  99         if(_verbose && _nbTimeStep%_freqSave ==0)
 100         {
 101                 cout<<"Convection Left state cell " << i<< ": "<<endl;
 102                 for(int k =0; k<_nVar; k++)
 103                         cout<< _Ui[k]<<endl;
 104                 cout<<"Convection Right state cell " << j<< ": "<<endl;
 105                 for(int k =0; k<_nVar; k++)
 106                         cout<< _Uj[k]<<endl;
 107         }
 108         /*
 109         if(_Ui[0]<-(_precision) || _Uj[0]<-(_precision) || _Ui[_Ndim+1]<-(_precision) || _Uj[_Ndim+1]<-(_precision))
 110         {
 111                 cout<<"Warning: masse partielle negative!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!"<<endl;
 112                 cout<< "valeurs a gauche: "<<_Ui[0]<<", "<<_Ui[_Ndim+1]<<", valeurs a droite: "<<_Uj[0]<<", "<<_Uj[_Ndim+1]<<endl;
 113                 //        throw CdmathException(" Masse partielle negative, arret de calcul");
 114         }
 115         else
 116                 _Ui[0]=max(0.,_Ui[0]);
 117                 _Uj[0]=max(0.,_Uj[0]);
 118                 _Ui[_Ndim+1]=max(0.,_Ui[_Ndim+1]);
 119                 _Uj[_Ndim+1]=max(0.,_Uj[_Ndim+1]);
 120          */
 121
 122         PetscScalar ri1, ri2, rj1, rj2, xi, xj;
 123         //get _l and _r the primitive  states left and right of the interface
 124         _idm[0] = _nVar*i;
 125         for(int k=1; k<_nVar; k++)
 126                 _idm[k] = _idm[k-1] + 1;
 127         VecGetValues(_primitiveVars, _nVar, _idm, _l);
 128
 129         if(IsBord)
 130         {
 131                 //cout<<"_r is border"<<endl;
 132                 //consToPrim(_Uj, _r);
 133                 _idm[0] = 0;
 134                 for(int k=1; k<_nVar; k++)
 135                         _idm[k] = _idm[k-1] + 1;
 136                 VecGetValues(_Vext, _nVar, _idm, _r);
 137         }
 138         else
 139         {
 140                 _idm[0] = _nVar*j;
 141                 for(int k=1; k<_nVar; k++)
 142                         _idm[k] = _idm[k-1] + 1;
 143                 VecGetValues(_primitiveVars, _nVar, _idm, _r);
 144         }
 145         if(_verbose && _nbTimeStep%_freqSave ==0)
 146         {
 147                 cout<<"_l: "<<endl;
 148                 for(int k=0;k<_nVar; k++)
 149                         cout<< _l[k]<<endl;
 150                 cout<<"_r: "<<endl;
 151                 for(int k=0;k<_nVar; k++)
 152                         cout<< _r[k]<<endl;
 153         }
 154         // _Uroe[0] = \tilde{\alpha_v} = 1 - \tilde{\alpha_l} (formula of Toumi)
 155         if(2-_l[0]-_r[0] > _precision)
 156                 _Uroe[0] = 1- 2*(1-_l[0])*(1-_r[0])/(2-_l[0]-_r[0]);
 157         else
 158                 _Uroe[0] = (_l[0]+_r[0])/2;
 159
 160         if(_l[0]+_r[0] > _precision)
 161                 _Uroe[1] = (_l[1]*_l[0]+_r[1]*_r[0])/(_l[0]+_r[0]);
 162         else
 163                 _Uroe[1] = (_l[1]*(1-_l[0])+_r[1]*(1-_r[0]))/(2-_l[0]-_r[0]);
 164
 165         ri1 = sqrt(_Ui[0]); ri2 = sqrt(_Ui[_Ndim+1]);
 166         rj1 = sqrt(_Uj[0]); rj2 = sqrt(_Uj[_Ndim+1]);
 167         for(int k=0;k<_Ndim;k++)
 168         {
 169                 xi = _Ui[k+1];
 170                 xj = _Uj[k+1];
 171                 if(ri1>_precision && rj1>_precision)
 172                         _Uroe[2+k] = (xi/ri1 + xj/rj1)/(ri1 + rj1);
 173                 else if(ri1<_precision && rj1>_precision)
 174                         _Uroe[2+k] =  xj/_Uj[0];
 175                 else if(ri1>_precision && rj1<_precision)
 176                         _Uroe[2+k] =  xi/_Ui[0];
 177                 else
 178                         _Uroe[2+k] =(_Ui[k+1+_Ndim+1]/ri2 + _Uj[k+1+_Ndim+1]/rj2)/(ri2 + rj2);
 179
 180                 xi = _Ui[k+1+_Ndim+1];
 181                 xj = _Uj[k+1+_Ndim+1];
 182                 if(ri2>_precision && rj2>_precision)
 183                         _Uroe[1+k+_Ndim+1] = (xi/ri2 + xj/rj2)/(ri2 + rj2);
 184                 else if(ri2<_precision && rj2>_precision)
 185                         _Uroe[1+k+_Ndim+1] = xj/_Uj[_Ndim+1];
 186                 else if(ri2>_precision && rj2<_precision)
 187                         _Uroe[1+k+_Ndim+1] = xi/_Ui[_Ndim+1];
 188                 else
 189                         _Uroe[1+k+_Ndim+1] = (xi/ri1 + xj/rj1)/(ri1 + rj1);
 190         }
 191         _Uroe[_nVar-1]=.5*(_l[_nVar-1]+_r[_nVar-1]);
 192
 193         //Fin du remplissage dans la fonction convectionMatrices
 194
 195         if(_verbose && _nbTimeStep%_freqSave ==0)
 196         {
 197                 cout<<"Etat de Roe calcule: "<<endl;
 198                 for(int k=0;k<_nVar; k++)
 199                         cout<< _Uroe[k]<<endl;
 200         }
 201 }
 202
 203 void FiveEqsTwoFluid::diffusionStateAndMatrices(const long &i,const long &j, const bool &IsBord){
 204         //sortie: matrices et etat Diffusion (alpha1 rho1, q1, alpha2 rho2, q2,T)
 205         _idm[0] = _nVar*i;
 206         for(int k=1; k<_nVar; k++)
 207                 _idm[k] = _idm[k-1] + 1;
 208
 209         VecGetValues(_conservativeVars, _nVar, _idm, _Ui);
 210         _idm[0] = _nVar*j;
 211         for(int k=1; k<_nVar; k++)
 212                 _idm[k] = _idm[k-1] + 1;
 213
 214         if(IsBord)
 215                 VecGetValues(_Uextdiff, _nVar, _idm, _Uj);
 216         else
 217                 VecGetValues(_conservativeVars, _nVar, _idm, _Uj);
 218
 219         for(int k=0; k<_nVar; k++)
 220                 _Udiff[k] = (_Ui[k]+_Uj[k])/2;
 221         double q1_2,q2_2=0;
 222         for (int i = 0; i<_Ndim;i++){
 223                 q1_2+=_Udiff[        i+1]*_Udiff[        i+1];
 224                 q2_2+=_Udiff[1+_Ndim+i+1]*_Udiff[1+_Ndim+i+1];
 225         }
 226         consToPrim(_Udiff,_phi);
 227         _Udiff[_nVar-1]=_phi[_nVar-1];
 228         double alpha=_phi[0];
 229         double Tm=_phi[_nVar-1];
 230         double mu1 = _fluides[0]->getViscosity(Tm);
 231         double mu2 = _fluides[1]->getViscosity(Tm);
 232         double lambda = alpha*_fluides[0]->getConductivity(Tm)+(1-alpha)*_fluides[1]->getConductivity(Tm);
 233         double Cv1= _fluides[0]->constante("Cv");
 234         double Cv2= _fluides[1]->constante("Cv");
 235
 236         if(_timeScheme==Implicit)
 237         {
 238                 for(int i=0; i<_nVar*_nVar;i++)
 239                         _Diffusion[i] = 0;
 240                 for(int idim=1;idim<_Ndim+1;idim++)
 241                 {
 242                         if(alpha>_precision){
 243                                 _Diffusion[idim*_nVar] = alpha* mu1*_Udiff[idim]/(_Udiff[0]*_Udiff[0]);
 244                                 _Diffusion[idim*_nVar+idim] = -alpha* mu1/_Udiff[0];
 245                         }
 246                         if(1-alpha>_precision){
 247                                 _Diffusion[(idim+_Ndim+1)*_nVar] =  (1-alpha)* mu2*_Udiff[idim+_Ndim+1]/(_Udiff[_Ndim+1]*_Udiff[_Ndim+1]);
 248                                 _Diffusion[(idim+_Ndim+1)*_nVar+idim+_Ndim+1] = -(1-alpha)* mu2/_Udiff[_Ndim+1];
 249                         }
 250                 }
 251                 /*//Should correct the formula before using
 252                 int i = (_nVar-1)*_nVar;
 253                 _Diffusion[i]=lambda*(Tm/_Udiff[0]-q1_2/(2*Cv1*_Udiff[0]*_Udiff[0]*_Udiff[0]));
 254                 _Diffusion[i+1+_Ndim]=lambda*(Tm/_Udiff[1+_Ndim]-q2_2/(2*Cv2*_Udiff[1+_Ndim]*_Udiff[1+_Ndim]*_Udiff[1+_Ndim]));
 255                 for(int k=1;k<1+_Ndim;k++)
 256                 {
 257                         _Diffusion[i+k]= lambda*_Udiff[k]/(_Udiff[0]*_Udiff[0]*Cv1);
 258                         _Diffusion[i+k+1+_Ndim]= lambda*_Udiff[k+1+_Ndim]/(_Udiff[1+_Ndim]*_Udiff[+1+_Ndim]*Cv2);
 259                 }
 260                 _Diffusion[_nVar*_nVar-1]=-lambda/(_Udiff[0]*Cv1+_Udiff[1+_Ndim]*Cv2);
 261                  */
 262         }
 263 }
 264
 265 void FiveEqsTwoFluid::sourceVector(PetscScalar * Si,PetscScalar * Ui,PetscScalar * Vi, int i)
 266 {
 267         double m1=Ui[0],m2=Ui[1+_Ndim],rho=m1+m2, rhoE=Ui[_nVar-1], T=Vi[_nVar-1],alpha=Vi[0], P=Vi[1];
 268         double norm_ur=0,norm_u1sq=0,norm_u2sq=0, Gamma;
 269
 270         for(int k=0; k<_Ndim; k++){
 271                 norm_ur+=(Vi[2+k]-Vi[2+k+_Ndim])*(Vi[2+k]-Vi[2+k+_Ndim]);
 272                 norm_u1sq+=Vi[2+k]*Vi[2+k];
 273                 norm_u2sq+=Vi[2+k+_Ndim]*Vi[2+k+_Ndim];
 274         }
 275         norm_ur=sqrt(norm_ur);
 276         double h=(rhoE-0.5*m1*norm_u1sq-0.5*m2*norm_u2sq+P)/rho;
 277         double u_int[_Ndim];
 278         for(int k=0; k<_Ndim; k++)
 279                 u_int[k] = 0.5*(Vi[2+k]+Vi[2+k+_Ndim]);
 280         //              u_int[k] = Vi[0]*Vi[2+k+_Ndim] + (1-Vi[0])*Vi[2+k];
 281         if(i>=0 && T>_Tsat && alpha<1-_precision)//if(i>=0 && _hsatv>h  && h>_hsatl && alpha<1-_precision)
 282                 Gamma=_heatPowerField(i)/_latentHeat;
 283         else//boundary cell, no phase change
 284                 Gamma=0;
 285
 286         for(int k=1; k<_Ndim+1; k++)
 287         {
 288                 Si[k] =_gravite[k]*m1-_dragCoeffs[0]*norm_ur*(Vi[1+k]-Vi[1+k+_Ndim]) + Gamma*u_int[k-1];//interfacial velocity= ul
 289                 Si[k+_Ndim+1] =_gravite[k+_Ndim+1]*m2+ _dragCoeffs[0]*norm_ur*(Vi[1+k]-Vi[1+k+_Ndim]) - Gamma*u_int[k-1];
 290         }
 291         if(true){//heated boiling
 292                 Si[0]=Gamma;
 293                 Si[1+_Ndim]=-Gamma;
 294         }
 295         else if (P<_Psat && alpha<1-_precision){//flash boiling
 296                 Si[0]=-_dHsatl_over_dp*_dp_over_dt(i)/_latentHeat;
 297                 Si[1+_Ndim]=_dHsatl_over_dp*_dp_over_dt(i)/_latentHeat;
 298         }
 299         else{
 300                 Si[0]=0;
 301                 Si[1+_Ndim]=0;
 302         }
 303         if(i>=0)
 304                 Si[_nVar-1]=_heatPowerField(i);
 305         else//boundary cell, no heating
 306                 Si[_nVar-1]=0;
 307         for(int k=0; k<_Ndim; k++)
 308                 Si[_nVar-1] +=_GravityField3d[k]*(Ui[1+k]+Ui[2+k+_Ndim])-_dragCoeffs[0]*norm_ur*(Vi[2+k]-Vi[2+k+_Ndim])*(Vi[2+k]-Vi[2+k+_Ndim]);
 309
 310         if(_timeScheme==Implicit)
 311         {
 312                 for(int i=0; i<_nVar*_nVar;i++)
 313                         _GravityImplicitationMatrix[i] = 0;
 314                 for(int i=0; i<_nVar/2;i++)
 315                         _GravityImplicitationMatrix[i*_nVar]=-_gravite[i];
 316                 for(int i=_nVar/2; i<_nVar;i++)
 317                         _GravityImplicitationMatrix[i*_nVar+_nVar/2]=-_gravite[i];
 318         }
 319
 320         if(_verbose && _nbTimeStep%_freqSave ==0)
 321         {
 322                 cout<<"FiveEqsTwoFluid::sourceVector"<<endl;
 323                 cout<<"Ui="<<endl;
 324                 for(int k=0;k<_nVar;k++)
 325                         cout<<Ui[k]<<", ";
 326                 cout<<endl;
 327                 cout<<"Vi="<<endl;
 328                 for(int k=0;k<_nVar;k++)
 329                         cout<<Vi[k]<<", ";
 330                 cout<<endl;
 331                 cout<<"Si="<<endl;
 332                 for(int k=0;k<_nVar;k++)
 333                         cout<<Si[k]<<", ";
 334                 cout<<endl;
 335                 if(_timeScheme==Implicit)
 336                         displayMatrix(_GravityImplicitationMatrix, _nVar, "Gravity implicitation matrix");
 337         }
 338 }
 339
 340 void FiveEqsTwoFluid::pressureLossVector(PetscScalar * pressureLoss, double K, PetscScalar * Ui, PetscScalar * Vi, PetscScalar * Uj, PetscScalar * Vj)
 341 {
 342         double norm_u1=0, u1_n=0, norm_u2=0, u2_n=0, m1, m2;
 343         for(int i=0;i<_Ndim;i++){
 344                 u1_n += _Uroe[1+i]      *_vec_normal[i];
 345                 u2_n += _Uroe[1+i+_Ndim]*_vec_normal[i];
 346         }
 347         pressureLoss[0]=0;
 348         pressureLoss[1+_Ndim]=0;
 349         if(u1_n>0){
 350                 for(int i=0;i<_Ndim;i++)
 351                         norm_u1 += Vi[1+i]*Vi[1+i];
 352                 norm_u1=sqrt(norm_u1);
 353                 m1=Ui[0];
 354                 for(int i=0;i<_Ndim;i++)
 355                         pressureLoss[1+i]=-K*m1*norm_u1*Vi[1+i];
 356         }
 357         else{
 358                 for(int i=0;i<_Ndim;i++)
 359                         norm_u1 += Vj[1+i]*Vj[1+i];
 360                 norm_u1=sqrt(norm_u1);
 361                 m1=Uj[0];
 362                 for(int i=0;i<_Ndim;i++)
 363                         pressureLoss[1+i]=-K*m1*norm_u1*Vj[1+i];
 364         }
 365         if(u2_n>0){
 366                 for(int i=0;i<_Ndim;i++)
 367                         norm_u2 += Vi[2+i+_Ndim]*Vi[2+i+_Ndim];
 368                 norm_u2=sqrt(norm_u2);
 369                 m2=Ui[1+_Ndim];
 370                 for(int i=0;i<_Ndim;i++)
 371                         pressureLoss[2+i+_Ndim]=-K*m2*norm_u2*Vi[2+i+_Ndim];
 372         }
 373         else{
 374                 for(int i=0;i<_Ndim;i++)
 375                         norm_u2 += Vj[2+i+_Ndim]*Vj[2+i+_Ndim];
 376                 norm_u2=sqrt(norm_u2);
 377                 m2=Uj[1+_Ndim];
 378                 for(int i=0;i<_Ndim;i++)
 379                         pressureLoss[2+i+_Ndim]=-K*m2*norm_u2*Vj[2+i+_Ndim];
 380         }
 381         pressureLoss[_nVar-1]=-K*(m1*norm_u1*norm_u1*norm_u1+m2*norm_u2*norm_u2*norm_u2);
 382
 383         if(_verbose && _nbTimeStep%_freqSave ==0)
 384         {
 385                 cout<<"FiveEqsTwoFluid::pressureLossVector K= "<<K<<endl;
 386                 cout<<"Ui="<<endl;
 387                 for(int k=0;k<_nVar;k++)
 388                         cout<<Ui[k]<<", ";
 389                 cout<<endl;
 390                 cout<<"Vi="<<endl;
 391                 for(int k=0;k<_nVar;k++)
 392                         cout<<Vi[k]<<", ";
 393                 cout<<endl;
 394                 cout<<"Uj="<<endl;
 395                 for(int k=0;k<_nVar;k++)
 396                         cout<<Uj[k]<<", ";
 397                 cout<<endl;
 398                 cout<<"Vj="<<endl;
 399                 for(int k=0;k<_nVar;k++)
 400                         cout<<Vj[k]<<", ";
 401                 cout<<endl;
 402                 cout<<"pressureLoss="<<endl;
 403                 for(int k=0;k<_nVar;k++)
 404                         cout<<pressureLoss[k]<<", ";
 405                 cout<<endl;
 406         }
 407 }
 408
 409 void FiveEqsTwoFluid::porosityGradientSourceVector()
 410 {
 411         double u1_ni=0, u1_nj=0, u2_ni=0, u2_nj=0, rho1i, rho2i, rho1j, rho2j, pi=_Vi[1], pj=_Vj[1], Ti=_Vi[_nVar-1], Tj=_Vj[_nVar-1];
 412         double pij1, pij2, alphaij=_Uroe[0];
 413         for(int i=0;i<_Ndim;i++) {
 414                 u1_ni += _Vi[2+i]*_vec_normal[i];
 415                 u2_ni += _Vi[2+_Ndim+i]*_vec_normal[i];
 416                 u1_nj += _Vj[2+i]*_vec_normal[i];
 417                 u2_nj += _Vj[2+_Ndim+i]*_vec_normal[i];
 418         }
 419         _porosityGradientSourceVector[0]=0;
 420         _porosityGradientSourceVector[1+_Ndim]=0;
 421         rho1i = _fluides[0]->getDensity(pi, Ti);
 422         rho2i = _fluides[1]->getDensity(pi, Ti);
 423         rho1j = _fluides[0]->getDensity(pj, Tj);
 424         rho2j = _fluides[1]->getDensity(pj, Tj);
 425         pij1=(pi+pj)/2+rho1i*rho1j/2/(rho1i+rho1j)*(u1_ni-u1_nj)*(u1_ni-u1_nj);
 426         pij2=(pi+pj)/2+rho2i*rho2j/2/(rho2i+rho2j)*(u2_ni-u2_nj)*(u2_ni-u2_nj);
 427         for(int i=0;i<_Ndim;i++){
 428                 _porosityGradientSourceVector[1+i]      =alphaij*pij1*(_porosityi-_porosityj)*2/(1/_inv_dxi+1/_inv_dxj);
 429                 _porosityGradientSourceVector[2+_Ndim+i]=alphaij*pij2*(_porosityi-_porosityj)*2/(1/_inv_dxi+1/_inv_dxj);
 430         }
 431         _porosityGradientSourceVector[_nVar-1]=0;
 432 }
 433
 434 double FiveEqsTwoFluid::intPressDef(double alpha, double u_r2, double rho1, double rho2, double Temperature)
 435 {
 436         return  _intPressCoeff*alpha*(1-alpha)*rho1*rho2*u_r2/( alpha*rho2+(1-alpha)*rho1);
 437         +alpha*(1-alpha)*rho1*rho2*u_r2/((alpha*rho2+(1-alpha)*rho1)*(alpha*rho2+(1-alpha)*rho1)*(alpha*rho2+(1-alpha)*rho1)*(alpha*rho2+(1-alpha)*rho1))*u_r2
 438                         *(alpha*alpha*rho2-(1-alpha)*(1-alpha)*rho1)
 439                         *(alpha*alpha*rho2*rho2/(_fluides[0]->vitesseSonTemperature(Temperature,rho1)*_fluides[0]->vitesseSonTemperature(Temperature,rho1))
 440                                         -(1-alpha)*(1-alpha)*rho1*rho1/(_fluides[1]->vitesseSonTemperature(Temperature,rho2)*_fluides[1]->vitesseSonTemperature(Temperature,rho2)));
 441 }
 442
 443 Vector FiveEqsTwoFluid::convectionFlux(Vector U,Vector V, Vector normale, double porosity){
 444         if(_verbose){
 445                 cout<<"Ucons"<<endl;
 446                 cout<<U<<endl;
 447                 cout<<"Vprim"<<endl;
 448                 cout<<V<<endl;
 449         }
 450
 451         double phim1=U(0);//phi alpha1 rho1
 452         double phim2=U(1+_Ndim);//phi alpha2 rho2
 453         Vector phiq1(_Ndim),phiq2(_Ndim);//phi alpha1 rho1 u1, phi alpha2 rho2 u2
 454         for(int i=0;i<_Ndim;i++){
 455                 phiq1(i)=U(1+i);
 456                 phiq2(i)=U(2+_Ndim+i);
 457         }
 458         double alpha=V(0);
 459         double pression=V(1);
 460         Vector vitesse1(_Ndim),vitesse2(_Ndim);
 461         for(int i=0;i<_Ndim;i++){
 462                 vitesse1(i)=V(2+i);
 463                 vitesse2(i)=V(2+_Ndim+i);
 464         }
 465         double Temperature= V(_nVar-1);
 466
 467         double vitesse1n=vitesse1*normale;
 468         double vitesse2n=vitesse2*normale;
 469         double rho1=_fluides[0]->getDensity(pression,Temperature);
 470         double rho2=_fluides[1]->getDensity(pression,Temperature);
 471         double e1_int=_fluides[0]->getInternalEnergy(Temperature,rho1);
 472         double e2_int=_fluides[1]->getInternalEnergy(Temperature,rho2);
 473
 474         double alpha_roe = _Uroe[0];//Toumi formula
 475         // interfacial pressure term (hyperbolic correction)
 476         double dpi = _Uroe[_nVar];
 477
 478         Vector F(_nVar);
 479         F(0)=phim1*vitesse1n;
 480         F(1+_Ndim)=phim2*vitesse2n;
 481         for(int i=0;i<_Ndim;i++){
 482                 F(1+i)=phim1*vitesse1n*vitesse1(i)+(alpha_roe*pression+dpi*alpha)*porosity*normale(i);
 483                 F(2+_Ndim+i)=phim2*vitesse2n*vitesse2(i)+((1-alpha_roe)*pression+dpi*(1-alpha))*normale(i)*porosity;
 484         }
 485         F(_nVar-1)=phim1*(e1_int+0.5*vitesse1*vitesse1+pression/rho1)*vitesse1n+phim2*(e2_int+0.5*vitesse2*vitesse2+pression/rho2)*vitesse2n;
 486
 487         if(_verbose){
 488                 cout<<"Flux F(U,V)"<<endl;
 489                 cout<<F<<endl;
 490         }
 491
 492         return F;
 493 }
 494
 495 void FiveEqsTwoFluid::convectionJacobianMatrix(double *V, double *n)
 496 {
 497         complex< double > tmp;
 498         // enter : V(nVar) : primitive variables
 499         //            n    : normal vector
 500         double alp = V[0];
 501         double p = V[1];
 502         double Tm = V[_nVar-1];
 503         double rho1 = _fluides[0]->getDensity(p, Tm);
 504         double rho2 = _fluides[1]->getDensity(p, Tm);
 505         double ur_2 = 0;
 506         for (int idim=0; idim<_Ndim; idim++){
 507                 ur_2 += (V[2+idim]-V[2+idim+_Ndim])*(V[2+idim]-V[2+idim+_Ndim]);
 508         }
 509         // interfacial pressure term (hyperbolic correction)
 510         double dpi1 = intPressDef(alp,ur_2, rho1, rho2,Tm);
 511         double dpi2 = dpi1;
 512
 513         /********Prepare the parameters to compute the Jacobian Matrix********/
 514         /**** coefficients a, b, c ****/
 515         double inv_a1_2,inv_a2_2,b1,c1,a2,b2,c2;
 516         double e1,e2;
 517         e1 = _fluides[0]->getInternalEnergy(V[_nVar-1],rho1);// primitive variable _l[_nVar-1]=Tm
 518         e2 = _fluides[1]->getInternalEnergy(V[_nVar-1],rho2);
 519         inv_a1_2 = static_cast<StiffenedGas*>(_fluides[0])->getDiffDensPress(e1);
 520         inv_a2_2 = static_cast<StiffenedGas*>(_fluides[1])->getDiffDensPress(e2);
 521         //double getJumpDensInternalEnergy(const double p_l,const double p_r,const double e_l,const double e_r);
 522         b1 = static_cast<StiffenedGas*>(_fluides[0])->getDiffDensInternalEnergy(p,e1);
 523         b2 = static_cast<StiffenedGas*>(_fluides[1])->getDiffDensInternalEnergy(p,e2);
 524         //double getJumpInternalEnergyTemperature();
 525         c1 = static_cast<StiffenedGas*>(_fluides[0])->getDiffInternalEnergyTemperature();
 526         c2 = static_cast<StiffenedGas*>(_fluides[1])->getDiffInternalEnergyTemperature();
 527         /**** coefficients eta,  varrho_2 ****/
 528         double eta[_Ndim], varrho_2;
 529         // prefix m is arithmetic mean
 530         double m1,m2, eta_n;
 531         double u1[_Ndim],u2[_Ndim], alp_u1[_Ndim],alp_u2[_Ndim];
 532         m1 = alp*rho1;
 533         m2 = (1-alp)*rho2;
 534         varrho_2 =1/((alp*rho2)*inv_a1_2+((1-alp)*rho1)*inv_a2_2);
 535         eta_n = 0.;
 536         for (int idim=0; idim<_Ndim; idim++){
 537                 u1[idim] = V[idim+2];
 538                 u2[idim] = V[_Ndim+idim+2];
 539                 alp_u1[idim] = alp*u1[idim];
 540                 alp_u2[idim] = (1-alp)*u2[idim];
 541                 eta_n += (alp_u1[idim]*(1-p/rho1*inv_a1_2)+alp_u2[idim]*(1-p/rho2*inv_a2_2))*n[idim];
 542         }
 543         double eta_varrho_2n = eta_n*varrho_2;
 544         /**** compute jump of Delta T, Delta e1, Delta e2 ****/
 545         double inv_cm = 1/(c1*m1+c2*m2);
 546         double DeltaT [_nVar], Delta_e1[_nVar], Delta_e2[_nVar];
 547         // initialize DeltaT
 548         DeltaT[0] =-e1;
 549         DeltaT[1+_Ndim] =-e2;
 550         DeltaT[_nVar-1] = 1 ;
 551         for (int idim=0; idim<_Ndim; idim++){
 552                 DeltaT[idim+1] = 0.;
 553                 DeltaT[1+_Ndim+idim+1] = 0;
 554         }
 555         for (int idim=0; idim<_Ndim; idim++){
 556                 // wrt mass gas
 557                 DeltaT[0] += 0.5*u1[idim]*u1[idim];
 558                 // wrt mass liquid
 559                 DeltaT[_Ndim+1] += 0.5*u2[idim]*u2[idim];
 560                 // wrt momentum gass
 561                 DeltaT[idim+1] += - u1[idim];//*n[idim]
 562                 // wrt momentum liquid
 563                 DeltaT[_Ndim+idim+2] += - u2[idim];//*n[idim]
 564         }
 565         // finalize  DeltaT, Delta_e1 and Delta_e2
 566         for (int i =0; i< _nVar; ++i){
 567                 DeltaT[i] = inv_cm*DeltaT[i];
 568                 Delta_e1[i] = c1*DeltaT[i];
 569                 Delta_e2[i] = c2*DeltaT[i];
 570         }
 571         /**** compute differential flux (energy equation) A5 ****/
 572
 573         double dF5[_nVar];
 574         // initialize A5
 575         for (int i=0; i<_nVar; i++){
 576                 dF5[i]=0;
 577         }
 578         dF5[0] = eta_varrho_2n*rho2; // mass gas
 579         dF5[_Ndim+1] = eta_varrho_2n*rho1; // mass liquid
 580         for (int idim=0; idim<_Ndim; idim++){
 581                 // momentum gas
 582                 dF5[idim+1]= (e1+p/rho1)*n[idim];
 583                 // momentum liquid
 584                 dF5[_Ndim+idim+2]=(e2+p/rho2)*n[idim];
 585         }
 586         // assign the value of A5 (last row of the Roe matrix)
 587         for (int idim=0; idim<_Ndim; idim++){
 588                 for (int jdim=0; jdim<_Ndim;jdim++){
 589                         dF5[0] -= u1[idim]*u1[jdim]*u1[jdim]*n[idim];// -uin * ujn^2
 590                         dF5[_Ndim+1] -= u2[idim]*u2[jdim]*u2[jdim]*n[idim];
 591                         //momentum gas
 592                         dF5[idim+1] += u1[idim]*u1[jdim]*n[jdim]+0.5*(u1[jdim]*u1[jdim])*n[idim];
 593                         //momentum liquid
 594                         dF5[_Ndim+idim+2] += u2[idim]*u2[jdim]*n[jdim]+0.5*(u2[jdim]*u2[jdim])*n[idim];
 595                 }
 596         }
 597         // final dF5
 598         double coef_e1, coef_e2;
 599         coef_e1 = - eta_varrho_2n*alp*rho2*b1;
 600         coef_e2 = - eta_varrho_2n*(1-alp)*rho1*b2;
 601         for (int idim=0; idim<_Ndim; idim++){
 602                 coef_e1 += (alp*rho1 - alp*p*b1/rho1)*u1[idim]*n[idim];
 603                 coef_e2 += ((1-alp)*rho2 - (1-alp)*p*b2/rho2)*u2[idim]*n[idim];
 604         }
 605         for (int i =0; i< _nVar; i++){
 606                 dF5[i] += coef_e1*Delta_e1[i] + coef_e2*Delta_e2[i];
 607         }
 608         /******** Construction de la matrice J *********/
 609         //lignes de masse
 610         for(int i=0; i<_nVar*_nVar;i++)
 611                 _JacoMat[i]=0.;
 612
 613         for(int idim=0; idim<_Ndim;idim++)
 614         {
 615                 _JacoMat[1+idim]=n[idim];
 616                 _JacoMat[1+idim+_Ndim+1]=0.;
 617                 _JacoMat[(_Ndim+1)*_nVar+1+idim]=0.;
 618                 _JacoMat[(_Ndim+1)*_nVar+1+idim+_Ndim+1]=n[idim];
 619         }
 620         // Roe Matrix new version
 621         for(int idim=0; idim<_Ndim;idim++)
 622                 for (int jdim=0; jdim<_Ndim;jdim++){
 623                         // momentum gas (neglect delta alpha and delta P)
 624                         _JacoMat[ (1+idim)*_nVar] += -u1[idim]*u1[jdim]*n[jdim];
 625                         _JacoMat[(1+idim)*_nVar+jdim+1] += u1[idim]*n[jdim];
 626                         _JacoMat[(1+idim)*_nVar+idim+1] += u1[jdim]*n[jdim];
 627                         // momentum liquid (neglect delta alpha and delta P)
 628                         _JacoMat[(2+_Ndim+idim)*_nVar+_Ndim+1] += -u2[idim]*u2[jdim]*n[jdim];
 629                         _JacoMat[(2+_Ndim+idim)*_nVar+_Ndim+1+jdim+1] += u2[idim]*n[jdim];
 630                         _JacoMat[(2+_Ndim+idim)*_nVar+_Ndim+1+idim+1] += u2[jdim]*n[jdim];
 631                 }
 632         // update \Delta alpha
 633         /*
 634          * (alpha *rho2*varrho_2+dpi1*(1-alpha)*inv_a2_2*varrho_2)*n[idim]
 635          */
 636         for (int idim=0; idim<_Ndim; idim++){
 637                 _JacoMat[ (1+idim)*_nVar] += dpi1*varrho_2*(1-alp)*inv_a2_2*n[idim];
 638                 _JacoMat[ (1+idim)*_nVar+_Ndim+1] += -dpi1*varrho_2*alp*inv_a1_2*n[idim];
 639                 _JacoMat[(2+_Ndim+idim)*_nVar] += - dpi2*varrho_2*(1-alp)*inv_a2_2*n[idim];
 640                 _JacoMat[(2+_Ndim+idim)*_nVar+_Ndim+1] += dpi2*varrho_2*alp*inv_a1_2*n[idim];
 641                 for  (int i=0; i<_nVar; i++){
 642                         _JacoMat[ (1+idim)*_nVar+i]+=dpi1*varrho_2*(-alp*(1-alp)*inv_a2_2*b1*Delta_e1[i]+alp*(1-alp)*inv_a1_2*b2*Delta_e2[i])*n[idim];
 643                         _JacoMat[(_Ndim+1)*_nVar+ (1+idim)*_nVar+i]+=-dpi2*varrho_2*(-alp*(1-alp)*inv_a2_2*b1*Delta_e1[i]+alp*(1-alp)*inv_a1_2*b2*Delta_e2[i])*n[idim];
 644                 }
 645         }
 646         // update \Delta P
 647         for (int idim=0; idim<_Ndim; idim++){
 648                 _JacoMat[ (1+idim)*_nVar] += alp*varrho_2*rho2*n[idim];
 649                 _JacoMat[ (1+idim)*_nVar+_Ndim+1] +=alp* varrho_2*rho1*n[idim];
 650                 _JacoMat[(2+_Ndim+idim)*_nVar] +=  (1-alp)*varrho_2*rho2*n[idim];
 651                 _JacoMat[(2+_Ndim+idim)*_nVar+_Ndim+1] += (1-alp)* varrho_2*rho1*n[idim];
 652                 for  (int i=0; i<_nVar; i++){
 653                         _JacoMat[ (1+idim)*_nVar+i]+=alp*varrho_2*(-alp*rho2*b1*Delta_e1[i] -(1-alp)*rho1*b2*Delta_e2[i])*n[idim];
 654                         _JacoMat[(_Ndim+1)*_nVar+ (1+idim)*_nVar+i]+=(1-alp)*varrho_2*(-alp*rho2*b1*Delta_e1[i] -(1-alp)*rho1*b2*Delta_e2[i])*n[idim];
 655                 }
 656         }
 657         // last row (total energy)
 658         for (int i=0; i<_nVar; i++){
 659                 _JacoMat[(2*_Ndim+2)*_nVar +i] = dF5[i];
 660         }
 661 }
 662
 663 void FiveEqsTwoFluid::convectionMatrices()
 664 {
 665         //entree: URoe = alpha, p, u1, u2, T + ajout dpi
 666         //sortie: matrices Roe+  et Roe- +Roe si schéma centre
 667
 668         if(_timeScheme==Implicit && _usePrimitiveVarsInNewton)
 669                 throw CdmathException("Implicitation with primitive variables not yet available for FiveEqsTwoFluid model");
 670
 671         /*Definitions */
 672         complex< double > tmp;
 673         double  u_r2 = 0, u1_n=0, u2_n=0;
 674         // u1_n = u1.n;u2_n = u2.n (scalar product)
 675         for(int i=0;i<_Ndim;i++)
 676         {
 677                 //u_r2 += (_Uroe[2+i]-_Uroe[1+i+1+_Ndim])*(_Uroe[2+i]-_Uroe[1+i+1+_Ndim]);
 678                 u_r2 += 0.5*((_l[2+i]-_l[2+i+_Ndim])*(_l[2+i]-_l[2+i+_Ndim])+(_r[2+i]-_r[2+i+_Ndim])*(_r[2+i]-_r[2+i+_Ndim])); //Kieu
 679                 u1_n += _Uroe[2+i]*_vec_normal[i];
 680                 u2_n += _Uroe[1+i+1+_Ndim]*_vec_normal[i];
 681         }
 682
 683         //double alpha = (_l[0]+_r[0])*0.5;//Kieu formula
 684         double alpha = _Uroe[0];//Toumi formula
 685         //double p = _Uroe[1];//Toumi pressure
 686
 687         /***********Calcul des valeurs propres ********/
 688
 689         // ********Prepare the parameters to compute the Roe Matrix******** //
 690         // **** coefficients eta,  varrho_2 **** //
 691         double eta[_Ndim], varrho_2;
 692         double rho1_l =  _fluides[0]->getDensity(_l[1], _l[_Ndim*2+2]);//(p,T)_Ndim*2+2
 693         double rho2_l =  _fluides[1]->getDensity(_l[1], _l[_Ndim*2+2]);
 694         double rho1_r =  _fluides[0]->getDensity(_r[1], _r[_Ndim*2+2]);
 695         double rho2_r =  _fluides[1]->getDensity(_r[1], _r[_Ndim*2+2]);
 696         // **** coefficients a, b, c **** //
 697         double inv_a1_2,inv_a2_2,b1,c1,a2,b2,c2;
 698         double e1_l,e1_r,e2_l,e2_r;
 699         e1_l = _fluides[0]->getInternalEnergy(_l[_nVar-1],rho1_l);// primitive variable _l[_nVar-1]=Tm
 700         e2_l = _fluides[1]->getInternalEnergy(_l[_nVar-1],rho2_l);
 701         e1_r = _fluides[0]->getInternalEnergy(_r[_nVar-1],rho1_r);
 702         e2_r = _fluides[1]->getInternalEnergy(_r[_nVar-1],rho2_r);
 703         inv_a1_2 = static_cast<StiffenedGas*>(_fluides[0])->getJumpDensPress(e1_l,e1_r);
 704         inv_a2_2 = static_cast<StiffenedGas*>(_fluides[1])->getJumpDensPress(e2_l,e2_r);
 705         //double getJumpDensInternalEnergy(const double p_l,const double p_r,const double e_l,const double e_r);
 706         b1 = static_cast<StiffenedGas*>(_fluides[0])->getJumpDensInternalEnergy(_l[1],_r[1],e1_l,e1_r);
 707         b2 = static_cast<StiffenedGas*>(_fluides[1])->getJumpDensInternalEnergy(_l[1],_r[1],e2_l,e2_r);
 708         //double getJumpInternalEnergyTemperature();
 709         c1 = static_cast<StiffenedGas*>(_fluides[0])->getJumpInternalEnergyTemperature();
 710         c2 = static_cast<StiffenedGas*>(_fluides[1])->getJumpInternalEnergyTemperature();
 711
 712         // prefix m is arithmetic mean
 713         double m_alp1,m_rho1,m_rho2,m_P,m_e1,m_e2,m_m1,m_m2, eta_n;
 714         double m_u1[_Ndim],m_u2[_Ndim], m_alp_u1[_Ndim],m_alp_u2[_Ndim];
 715         double u1_l[_Ndim], u2_l[_Ndim],u1_r[_Ndim],u2_r[_Ndim];
 716         double u1l_2 = 0, u1r_2 = 0, u2l_2 = 0, u2r_2 = 0;
 717         m_alp1 =  0.5*(_l[0]+_r[0]);
 718         m_rho1 = 0.5*(rho1_l+rho1_r);
 719         m_rho2 = 0.5*(rho2_l+rho2_r);
 720         m_P = 0.5*(_l[1]+_r[1]);
 721         m_e1 = 0.5*(e1_l+e1_r);
 722         m_e2 = 0.5*(e2_l+e2_r);
 723         m_m1 = 0.5*(_l[0]*rho1_l+_r[0]*rho1_r);
 724         m_m2 = 0.5*((1-_l[0])*rho2_l+(1-_r[0])*rho2_r);
 725         varrho_2 =1/((m_alp1*m_rho2)*inv_a1_2+((1-m_alp1)*m_rho1)*inv_a2_2);
 726         eta_n = 0.;
 727
 728         for (int idim=0; idim<_Ndim; idim++){
 729                 u1_l[idim] = _l[idim+2];
 730                 u1_r[idim] = _r[idim+2];
 731                 u2_l[idim] = _l[_Ndim+idim+2];
 732                 u2_r[idim] = _r[_Ndim+idim+2];
 733                 m_u1[idim] = 0.5*(u1_l[idim] + u1_r[idim]);
 734                 m_u2[idim] = 0.5*(u2_l[idim] + u2_r[idim]);
 735                 m_alp_u1[idim] = 0.5*(_l[0]*u1_l[idim]+_r[0]*u1_r[idim]);
 736                 m_alp_u2[idim] = 0.5*((1-_l[0])*u2_l[idim]+(1-_r[0])*u2_r[idim]);
 737                 eta_n += (m_alp_u1[idim]*(1-m_P/m_rho1*inv_a1_2)+m_alp_u2[idim]*(1-m_P/m_rho2*inv_a2_2))*_vec_normal[idim];
 738         }
 739
 740         double eta_varrho_2n = eta_n*varrho_2;
 741         //  **** compute jump of Delta T, Delta e1, Delta e2 **** //
 742         for  (int idim=0; idim<_Ndim; idim++){
 743                 u1l_2 += u1_l[idim]*u1_l[idim];
 744                 u1r_2 += u1_r[idim]*u1_r[idim];
 745                 u2l_2 += u2_l[idim]*u2_l[idim];
 746                 u2r_2 += u2_r[idim]*u2_r[idim];
 747         }
 748         double inv_m_cm = 1/(c1*m_m1+c2*m_m2);
 749         double DeltaT [_nVar], Delta_e1[_nVar], Delta_e2[_nVar];
 750         // initialize DeltaT
 751         for (int i=0; i<_nVar; i++){
 752                 DeltaT[i] = 0.;
 753         }
 754         DeltaT[0] += -m_e1;
 755         DeltaT[1+_Ndim] += -m_e2;
 756         DeltaT[_nVar-1] += 1 ;
 757         for (int idim=0; idim<_Ndim; idim++){
 758                 // wrt mass gas
 759                 DeltaT[0] += 0.5*_l[idim+2]     *_r[idim+2];//0.5*\tilde{u_g}^2
 760                 // wrt mass liquid
 761                 DeltaT[_Ndim+1] += 0.5*_l[_Ndim+idim+2] *_r[_Ndim+idim+2];
 762                 // wrt momentum gas
 763                 DeltaT[idim+1] += - m_u1[idim];
 764                 // wrt momentum liquid
 765                 DeltaT[_Ndim+idim+2] += - m_u2[idim];
 766         }
 767
 768         // finalize  DeltaT, Delta_e1 and Delta_e2
 769         for (int i =0; i< _nVar; ++i){
 770                 DeltaT[i] = inv_m_cm*DeltaT[i];
 771                 Delta_e1[i] = c1*DeltaT[i];
 772                 Delta_e2[i] = c2*DeltaT[i];
 773         }
 774
 775         // *** compute jump flux (energy equation) A5 *** //
 776
 777         double A5[_nVar];
 778         // initialize A5
 779         for (int i=0; i<_nVar; i++){
 780                 A5[i]=0;
 781         }
 782         A5[0] = eta_varrho_2n*m_rho2; // mass gas
 783         A5[_Ndim+1] = eta_varrho_2n*m_rho1; // mass liquid
 784         for (int idim=0; idim<_Ndim; idim++){
 785                 // momentum gas
 786                 A5[idim+1] = (m_e1+m_P/m_rho1)*_vec_normal[idim];
 787                 // momentum liquid
 788                 A5[_Ndim+idim+2] = (m_e2+m_P/m_rho2)*_vec_normal[idim];
 789         }
 790         // assign the value of A5 (last row of the Roe matrix)
 791         for (int idim=0; idim<_Ndim; idim++){
 792                 for (int jdim=0; jdim<_Ndim;jdim++){
 793                         A5[0] += 0.5*(0.5*(_l[idim+2]*_l[jdim+2]*_l[jdim+2]+_r[idim+2]*_r[jdim+2]*_r[jdim+2])*_vec_normal[idim]);// m_(uin*uj^2)
 794                         A5[0] -= m_u1[idim]*m_u1[jdim]*m_u1[jdim]*_vec_normal[idim];// -m_uin * m_ujn^2
 795                         A5[0] -= 0.5*(m_u1[idim]*_vec_normal[idim]*0.5*(_l[jdim+2]*_l[jdim+2]+_r[jdim+2]*_r[jdim+2]));//-0.5*m_uin*m_uj^2
 796                         A5[_Ndim+1]+= 0.5*(0.5*(_l[_Ndim+idim+2]*_l[_Ndim+jdim+2]*_l[_Ndim+jdim+2]+_r[_Ndim+idim+2]*_r[_Ndim+jdim+2]*_r[_Ndim+jdim+2])*_vec_normal[idim]);// m_(uin*uj^2)
 797                         A5[_Ndim+1] -= m_u2[idim]*m_u2[jdim]*m_u2[jdim]*_vec_normal[idim];// -m_uin * m_ujn^2
 798                         A5[_Ndim+1] -= 0.5*(m_u2[idim]*0.5*(_l[_Ndim+jdim+2]*_l[_Ndim+jdim+2]+_r[_Ndim+jdim+2]*_r[_Ndim+jdim+2]))*_vec_normal[idim];//-0.5*m_uin*m_uj^2
 799                         //momentum gas
 800                         A5[idim+1] += m_u1[jdim]*_vec_normal[jdim]*m_u1[idim]+0.5*_vec_normal[idim]*0.5*(_l[jdim+2]*_l[jdim+2]+_r[jdim+2]*_r[jdim+2]);
 801                         //momentum liquid
 802                         A5[_Ndim+idim+2] += m_u2[jdim]*_vec_normal[jdim]*m_u2[idim]+0.5*_vec_normal[idim]*0.5*(_l[_Ndim+jdim+2]*_l[_Ndim+jdim+2]+_r[_Ndim+jdim+2]*_r[_Ndim+jdim+2]);
 803                 }
 804         }
 805
 806         // final A5
 807         double coef_e1, coef_e2;
 808         coef_e1 = - eta_varrho_2n*m_alp1*m_rho2*b1;
 809         coef_e2 = - eta_varrho_2n*(1-m_alp1)*m_rho1*b2;
 810         for (int idim=0; idim<_Ndim; idim++){
 811                 coef_e1 += (0.5*(_l[0]*rho1_l*_l[idim+2]+_r[0]*rho1_r*_r[idim+2]) - m_alp_u1[idim]*m_P*b1/m_rho1)*_vec_normal[idim];
 812                 coef_e2 += (0.5*((1-_l[0])*rho2_l*_l[_Ndim+idim+2]+(1-_r[0])*rho2_r*_r[_Ndim+idim+2])-m_alp_u2[idim]*m_P*b2/m_rho2)*_vec_normal[idim];
 813         }
 814         for (int i =0; i< _nVar; i++){
 815                 A5[i] += coef_e1*Delta_e1[i] + coef_e2*Delta_e2[i];
 816         }
 817         // ******* Construction de la matrice de Roe ******** //
 818         // interfacial pressure correction
 819         double T=_Uroe[_nVar-1];
 820         double dpi1 = intPressDef(alpha, u_r2, m_rho1,m_rho2,T);
 821         double dpi2 = dpi1;
 822         //saving dpi value for flux calculation later
 823         _Uroe[_nVar]=dpi1 ;
 824
 825         //lignes de masse
 826         for(int i=0; i<_nVar*_nVar;i++)
 827                 _Aroe[i]=0;
 828         //      alpha = 0.; dpi1 = 0.; dpi2 = 0.;
 829         for(int idim=0; idim<_Ndim;idim++)
 830         {
 831                 _Aroe[1+idim]=_vec_normal[idim];
 832                 _Aroe[1+idim+_Ndim+1]=0;
 833                 _Aroe[(_Ndim+1)*_nVar+1+idim]=0;
 834                 _Aroe[(_Ndim+1)*_nVar+1+idim+_Ndim+1]=_vec_normal[idim];
 835         }
 836
 837         // Take into account the convection term in the momentum eqts
 838         for(int idim=0; idim<_Ndim;idim++)
 839                 for (int jdim=0; jdim<_Ndim;jdim++){
 840                         // momentum gas (neglect delta alpha and delta P)
 841                         _Aroe[ (1+idim)*_nVar] += (0.5*(_l[2+idim]*_l[2+jdim]+_r[2+idim]*_r[2+jdim])-2*m_u1[idim]*m_u1[jdim])*_vec_normal[jdim];
 842                         _Aroe[(1+idim)*_nVar+jdim+1] += m_u1[idim]*_vec_normal[jdim];
 843                         _Aroe[(1+idim)*_nVar+idim+1] += m_u1[jdim]*_vec_normal[jdim];
 844                         // momentum liquid (neglect delta alpha and delta P)
 845                         _Aroe[(2+_Ndim+idim)*_nVar+_Ndim+1] += (0.5*(_l[_Ndim+2+idim]*_l[_Ndim+2+jdim]+_r[_Ndim+2+idim]*_r[_Ndim+2+jdim])-2*m_u2[idim]*m_u2[jdim])*_vec_normal[jdim];
 846                         _Aroe[(2+_Ndim+idim)*_nVar+_Ndim+1+jdim+1] += m_u2[idim]*_vec_normal[jdim];
 847                         _Aroe[(2+_Ndim+idim)*_nVar+_Ndim+1+idim+1] += m_u2[jdim]*_vec_normal[jdim];
 848                 }
 849
 850         // update \Delta alpha
 851         for (int idim=0; idim<_Ndim; idim++){
 852                 _Aroe[ (1+idim)*_nVar] += dpi1*varrho_2*(1-m_alp1)*inv_a2_2*_vec_normal[idim];
 853                 _Aroe[ (1+idim)*_nVar+_Ndim+1] += -dpi1*varrho_2*(m_alp1)*inv_a1_2*_vec_normal[idim];
 854                 _Aroe[(2+_Ndim+idim)*_nVar] += - dpi2*varrho_2*(1-m_alp1)*inv_a2_2*_vec_normal[idim];
 855                 _Aroe[(2+_Ndim+idim)*_nVar+_Ndim+1] += dpi2*varrho_2*(m_alp1)*inv_a1_2*_vec_normal[idim];
 856                 for  (int i=0; i<_nVar; i++){
 857                         _Aroe[ (1+idim)*_nVar+i]+=dpi1*varrho_2*(-m_alp1*(1-m_alp1)*inv_a2_2*b1*Delta_e1[i]+m_alp1*(1-m_alp1)*inv_a1_2*b2*Delta_e2[i])*_vec_normal[idim];
 858                         _Aroe[(_Ndim+1)*_nVar+ (1+idim)*_nVar+i]+=-dpi2*varrho_2*(-m_alp1*(1-m_alp1)*inv_a2_2*b1*Delta_e1[i]+m_alp1*(1-m_alp1)*inv_a1_2*b2*Delta_e2[i])*_vec_normal[idim];
 859                 }
 860         }
 861         // update \Delta P
 862         for (int idim=0; idim<_Ndim; idim++){
 863                 _Aroe[ (1+idim)*_nVar] += alpha*varrho_2*m_rho2*_vec_normal[idim];
 864                 _Aroe[ (1+idim)*_nVar+_Ndim+1] += alpha* varrho_2*m_rho1*_vec_normal[idim];
 865                 _Aroe[(2+_Ndim+idim)*_nVar] += (1-alpha)*varrho_2*m_rho2*_vec_normal[idim];
 866                 _Aroe[(2+_Ndim+idim)*_nVar+_Ndim+1] += (1-alpha)* varrho_2*m_rho1*_vec_normal[idim];
 867                 for  (int i=0; i<_nVar; i++){
 868                         _Aroe[ (1+idim)*_nVar+i] += alpha*varrho_2*(-m_alp1*m_rho2*b1*Delta_e1[i] -(1-m_alp1)*m_rho1*b2*Delta_e2[i])*_vec_normal[idim];
 869                         _Aroe[(_Ndim+1)*_nVar+ (1+idim)*_nVar+i] += (1-alpha)*varrho_2*(-m_alp1*m_rho2*b1*Delta_e1[i] -(1-m_alp1)*m_rho1*b2*Delta_e2[i])*_vec_normal[idim];
 870                 }
 871         }
 872
 873         // last row (total energy)
 874         for (int i=0; i<_nVar; i++){
 875                 _Aroe[(2*_Ndim+2)*_nVar +i] += A5[i];
 876         }
 877
 878         int LDA = _nVar;
 879         int LDVL = _nVar;
 880         int LDVR = _nVar;
 881         int LWORK = 50*_nVar;
 882         char jobvl[]="N", jobvr[]="N";
 883         double WORK[LWORK], Aroe[_nVar*_nVar],egvaReal[_nVar],egvaImag[_nVar],
 884         egVectorL[_nVar*_nVar],egVectorR[_nVar*_nVar];
 885         int info=0;
 886         double maxvploc=0;
 887         std::vector< std::complex<double> > valeurs_propres_dist;
 888         int taille_vp ;
 889
 890         for (int i=0; i<_nVar*_nVar; i++)
 891                 Aroe[i] = _Aroe[i];
 892
 893         if (_verbose && _nbTimeStep%_freqSave ==0)
 894         {
 895                 cout<<endl<<"Matrice de Roe"<<endl;
 896                 for(int i=0; i<_nVar;i++)
 897                 {
 898                         for(int j=0; j<_nVar;j++)
 899                                 cout << _Aroe[i*_nVar+j]<< " , ";
 900                         cout<<endl;
 901                 }
 902         }
 903         /******** Compute the eigenvalues and eigenvectors of Roe Matrix (using lapack)*********/
 904         dgeev_(jobvl, jobvr,  &_nVar,
 905                         Aroe,&LDA,egvaReal,egvaImag, egVectorL,
 906                         &LDVL,egVectorR,
 907                         &LDVR, WORK,&LWORK,
 908                         &info);
 909         if(info <0){
 910                 cout<<"FiveEqsTwoFluid::convectionMatrices: error dgeev_ : argument "<<-info<<" invalid"<<endl;
 911                 *_runLogFile<<"FiveEqsTwoFluid::convectionMatrices: error dgeev_ : argument "<<-info<<" invalid"<<endl;
 912                 throw CdmathException("FiveEqsTwoFluid::convectionMatrices: dgeev_ unsuccessful computation of the eigenvalues ");
 913         }
 914         else if(info >0)
 915         {
 916                 cout<<"Warning FiveEqsTwoFluid::convectionMatrices: dgeev_ did not compute all the eigenvalues, trying Rusanov scheme "<<endl;
 917                 cout<<"Converged eigenvalues are ";
 918                 for(int i=info; i<_nVar; i++)
 919                         cout<<"("<< egvaReal[i]<<","<< egvaImag[i]<<"), ";
 920                 cout<<endl;
 921
 922                 _maxvploc=0;
 923                 for(int i =info; i<_nVar; i++)
 924                         if (fabs(egvaReal[i])>_maxvploc)
 925                                 _maxvploc=fabs(egvaReal[i]);
 926                 if(_maxvploc>_maxvp)
 927                         _maxvp=_maxvploc;
 928
 929                 valeurs_propres_dist=std::vector< std::complex<double> > (1,maxvploc);
 930                 taille_vp =1;
 931         }
 932         else{
 933                 if (_verbose && _nbTimeStep%_freqSave ==0)
 934                 {
 935                         for(int i=0; i<_nVar; i++)
 936                                 cout<<" Vp real part " << egvaReal[i]<<", Imaginary part " << egvaImag[i]<<endl;
 937                 }
 938
 939                 std::vector< std::complex<double> > valeurs_propres(_nVar);
 940
 941                 bool complexEigenvalues = false;
 942                 for(int j=0; j<_nVar; j++){
 943                         if (max(_l[0],_r[0])<_precision && abs(egvaImag[j])<_precision )// Kieu test Monophase
 944                                 egvaImag[j] = 0.;
 945                         else
 946                                 if (egvaImag[j] >_precision){// Kieu
 947                                         complexEigenvalues = true;
 948                                 }
 949                         if (abs(_l[0]-_r[0])<_precision*_precision && fabs(egvaImag[j])<_precision)// Kieu interfacial pressure
 950                                 egvaImag[j] = 0.;
 951                         valeurs_propres[j] = complex<double>(egvaReal[j],egvaImag[j]);
 952                 }
 953
 954                 taille_vp =Polynoms::new_tri_selectif(valeurs_propres,valeurs_propres.size(),_precision);
 955
 956                 valeurs_propres_dist=vector< complex< double > >(taille_vp);
 957                 for( int i=0 ; i<taille_vp ; i++)
 958                         valeurs_propres_dist[i] = valeurs_propres[i];
 959                 if(_verbose && _nbTimeStep%_freqSave ==0)
 960                 {
 961                         cout<<" Vp apres tri " << valeurs_propres_dist.size()<<endl;
 962                         for(int ct =0; ct<taille_vp; ct++)
 963                                 cout<< "("<<valeurs_propres_dist[ct].real()<< ", " <<valeurs_propres_dist[ct].imag() <<")  ";
 964                         cout<< endl;
 965                 }
 966
 967                 for(int i =0; i<taille_vp; i++){
 968                         if (fabs(valeurs_propres_dist[i].real())>maxvploc)
 969                                 maxvploc=fabs(valeurs_propres_dist[i].real());
 970                         if(maxvploc>_maxvp)
 971                                 _maxvp=maxvploc;
 972                 }
 973
 974                 int existVpCplx = 0,pos_conj;
 975                 double vp_imag_iter;
 976                 for (int ct=0; ct<taille_vp; ct++) {
 977                         vp_imag_iter = valeurs_propres_dist[ct].imag();
 978                         if ( fabs(vp_imag_iter) > 100*_precision ) {
 979                                 existVpCplx +=1;
 980                                 if ( _part_imag_max < fabs(vp_imag_iter))
 981                                         _part_imag_max = fabs(vp_imag_iter);
 982                                 //On cherhe le conjugue
 983                                 pos_conj = ct+1;
 984                                 while(pos_conj<taille_vp && fabs(valeurs_propres_dist[pos_conj].imag()+vp_imag_iter)>_precision)
 985                                         pos_conj++;
 986                                 if(pos_conj!=ct+1 && pos_conj<taille_vp )
 987                                 {
 988                                         tmp=valeurs_propres_dist[ct+1];
 989                                         valeurs_propres_dist[ct+1]=valeurs_propres_dist[pos_conj];
 990                                         valeurs_propres_dist[pos_conj] = tmp;
 991                                         ct++;
 992                                 }
 993                         }
 994                 }
 995                 if (existVpCplx >0)
 996                         _nbVpCplx +=1;
 997         }
 998         /******* Construction des matrices de decentrement *******/
 999         if(_spaceScheme == centered )
1000         {
1001                 if(_entropicCorrection)
1002                         throw CdmathException("FiveEqsTwoFluid::convectionMatrices: entropic scheme not available for centered scheme");
1003                 for(int i=0; i<_nVar*_nVar;i++)
1004                         _absAroe[i]=0;
1005                 //  if(alpha<_precision || alpha>1-_precision)//rusanov
1006                 //          for(int i=0; i<_nVar;i++)
1007                 //            _absAroe[i*_nVar+i]=maxvploc;
1008         }
1009         if( _spaceScheme ==staggered){//To do: study entropic correction for staggered
1010                 if(_entropicCorrection)//To do: study entropic correction for staggered
1011                         throw CdmathException("FiveEqsTwoFluid::convectionMatrices: entropic scheme not yet available for staggered scheme");
1012                 /******** Construction de la matrice de decentrement staggered *********/
1013                 /***** Compute eta_n **************/
1014                 eta_n = 0.;
1015                 for (int idim=0; idim<_Ndim; idim++){
1016                         eta_n += (m_alp_u1[idim]*(-1-m_P/m_rho1*inv_a1_2)+m_alp_u2[idim]*(-1-m_P/m_rho2*inv_a2_2))*_vec_normal[idim];
1017                 }
1018                 double eta_varrho_2n = eta_n*varrho_2;
1019                 /**** compute jump flux (energy equation) A5 ****/
1020
1021                 double A5[_nVar];
1022                 // initialize A5
1023                 for (int i=0; i<_nVar; i++){
1024                         A5[i]=0;
1025                 }
1026                 A5[0] = eta_varrho_2n*m_rho2; // mass gas
1027                 A5[_Ndim+1] = eta_varrho_2n*m_rho1; // mass liquid
1028                 // assign the value of A5 (last row of the Roe matrix)
1029                 for (int idim=0; idim<_Ndim; idim++){
1030                         for (int jdim=0; jdim<_Ndim;jdim++){
1031                                 A5[0] += 0.5*(0.5*(_l[idim+2]*_l[jdim+2]*_l[jdim+2]+_r[idim+2]*_r[jdim+2]*_r[jdim+2])*_vec_normal[idim]);// m_(uin*uj^2)
1032                                 A5[0] -= m_u1[idim]*m_u1[jdim]*m_u1[jdim]*_vec_normal[idim];// -m_uin * m_ujn^2
1033                                 A5[0] -= 0.5*(m_u1[idim]*_vec_normal[idim]*0.5*(_l[jdim+2]*_l[jdim+2]+_r[jdim+2]*_r[jdim+2]));//-0.5*m_uin*m_uj^2
1034                                 A5[_Ndim+1]+= 0.5*(0.5*(_l[_Ndim+idim+2]*_l[_Ndim+jdim+2]*_l[_Ndim+jdim+2]+_r[_Ndim+idim+2]*_r[_Ndim+jdim+2]*_r[_Ndim+jdim+2])*_vec_normal[idim]);// m_(uin*uj^2)
1035                                 A5[_Ndim+1] -= m_u2[idim]*m_u2[jdim]*m_u2[jdim]*_vec_normal[idim];// -m_uin * m_ujn^2
1036                                 A5[_Ndim+1] -= 0.5*(m_u2[idim]*_vec_normal[idim]*0.5*(_l[_Ndim+jdim+2]*_l[_Ndim+jdim+2]+_r[_Ndim+jdim+2]*_r[_Ndim+jdim+2]));//-0.5*m_uin*m_uj^2
1037                         }
1038                 }
1039                 // final A5
1040                 double coef_e1, coef_e2;
1041                 coef_e1 = - eta_varrho_2n*m_alp1*m_rho2*b1;
1042                 coef_e2 = - eta_varrho_2n*(1-m_alp1)*m_rho1*b2;
1043                 for (int idim=0; idim<_Ndim; idim++){
1044                         coef_e1 += (0.5*(_l[0]*rho1_l*_l[idim+2]+_r[0]*rho1_r*_r[idim+2]) - m_alp_u1[idim]*m_P*b1/m_rho1)*_vec_normal[idim];
1045                         coef_e2 += (0.5*((1-_l[0])*rho2_l*_l[_Ndim+idim+2]+(1-_r[0])*rho2_r*_r[_Ndim+idim+2])-m_alp_u2[idim]*m_P*b2/m_rho2)*_vec_normal[idim];
1046                 }
1047                 for (int i =0; i< _nVar; i++){
1048                         A5[i] += coef_e1*Delta_e1[i] + coef_e2*Delta_e2[i];
1049                 }
1050                 /** Début remplissage matrice décentrement staggered **/
1051                 //lignes de masse
1052                 for(int i=0; i<_nVar*_nVar;i++)
1053                         _absAroe[i]=0;
1054
1055                 //Mass lines
1056                 for(int idim=0; idim<_Ndim;idim++)
1057                 {
1058                         _absAroe[1+idim]=_vec_normal[idim];
1059                         _absAroe[1+idim+_Ndim+1]=0;
1060                         _absAroe[(_Ndim+1)*_nVar+1+idim]=0;
1061                         _absAroe[(_Ndim+1)*_nVar+1+idim+_Ndim+1]=_vec_normal[idim];
1062                 }
1063                 //Contribution of convection (rho u\times u) in the momentum equations
1064                 for(int idim=0; idim<_Ndim;idim++)
1065                         for (int jdim=0; jdim<_Ndim;jdim++){
1066                                 // momentum gas (neglect delta alpha and delta P)
1067                                 _absAroe[ (1+idim)*_nVar] += (0.5*(_l[2+idim]*_l[2+jdim]+_r[2+idim]*_r[2+jdim])-2*m_u1[idim]*m_u1[jdim])*_vec_normal[jdim];
1068                                 _absAroe[(1+idim)*_nVar+jdim+1] += m_u1[idim]*_vec_normal[jdim];
1069                                 _absAroe[(1+idim)*_nVar+idim+1] += m_u1[jdim]*_vec_normal[jdim];
1070                                 // momentum liquid (neglect delta alpha and delta P)
1071                                 _absAroe[(2+_Ndim+idim)*_nVar+_Ndim+1] += (0.5*(_l[_Ndim+2+idim]*_l[_Ndim+2+jdim]+_r[_Ndim+2+idim]*_r[_Ndim+2+jdim])-2*m_u2[idim]*m_u2[jdim])*_vec_normal[jdim];
1072                                 _absAroe[(2+_Ndim+idim)*_nVar+_Ndim+1+jdim+1] += m_u2[idim]*_vec_normal[jdim];
1073                                 _absAroe[(2+_Ndim+idim)*_nVar+_Ndim+1+idim+1] += m_u2[jdim]*_vec_normal[jdim];
1074                         }
1075                 // contribution of interfacial pressure in momentum equation
1076                 /*
1077                  * (alpha *rho2*varrho_2+dpi1*(1-alpha)*inv_a2_2*varrho_2)*_vec_normal[idim]
1078                  */
1079                 for (int idim=0; idim<_Ndim; idim++){
1080                         _absAroe[ (1+idim)*_nVar] += dpi1*varrho_2*(1-m_alp1)*inv_a2_2*_vec_normal[idim];
1081                         _absAroe[ (1+idim)*_nVar+_Ndim+1] += -dpi1*varrho_2*(m_alp1)*inv_a1_2*_vec_normal[idim];
1082                         _absAroe[(2+_Ndim+idim)*_nVar] += - dpi2*varrho_2*(1-m_alp1)*inv_a2_2*_vec_normal[idim];
1083                         _absAroe[(2+_Ndim+idim)*_nVar+_Ndim+1] += dpi2*varrho_2*(m_alp1)*inv_a1_2*_vec_normal[idim];
1084                         for  (int i=0; i<_nVar; i++){
1085                                 _absAroe[ (1+idim)*_nVar+i]+=dpi1*varrho_2*(-m_alp1*inv_a2_2*b1*Delta_e1[i]+(1-m_alp1)*inv_a1_2*b2*Delta_e2[i])*_vec_normal[idim];
1086                                 _absAroe[(_Ndim+1)*_nVar+ (1+idim)*_nVar+i]+=-dpi2*varrho_2*(-m_alp1*inv_a2_2*b1*Delta_e1[i]+(1-m_alp1)*inv_a1_2*b2*Delta_e2[i])*_vec_normal[idim];
1087                         }
1088                 }
1089                 // contribution of pressure gradient in momentum equation
1090                 for (int idim=0; idim<_Ndim; idim++){
1091                         _absAroe[ (1+idim)*_nVar] -= alpha*varrho_2*m_rho2*_vec_normal[idim];
1092                         _absAroe[ (1+idim)*_nVar+_Ndim+1] -=alpha* varrho_2*m_rho1*_vec_normal[idim];
1093                         _absAroe[(2+_Ndim+idim)*_nVar] -=  (1-alpha)*varrho_2*m_rho2*_vec_normal[idim];
1094                         _absAroe[(2+_Ndim+idim)*_nVar+_Ndim+1] -= (1-alpha)* varrho_2*m_rho1*_vec_normal[idim];
1095                         for  (int i=0; i<_nVar; i++){
1096                                 _absAroe[ (1+idim)*_nVar+i]-=alpha*varrho_2*(-m_alp1*m_rho2*b1*Delta_e1[i] -(1-m_alp1)*m_rho1*b2*Delta_e2[i])*_vec_normal[idim];
1097                                 _absAroe[(_Ndim+1)*_nVar+ (1+idim)*_nVar+i]-=(1-alpha)*varrho_2*(-m_alp1*m_rho2*b1*Delta_e1[i] -(1-m_alp1)*m_rho1*b2*Delta_e2[i])*_vec_normal[idim];
1098                         }
1099                 }
1100                 // last row (total energy) To be changed soon
1101                 for (int i=0; i<_nVar; i++){
1102                         _Aroe[(2*_Ndim+2)*_nVar +i] = A5[i];
1103                 }
1104                 double signu1,signu2;
1105                 if(u1_n>0)
1106                         signu1=1;
1107                 else if (u1_n<0)
1108                         signu1=-1;
1109                 else
1110                         signu1=0;
1111                 if(u2_n>0)
1112                         signu2=1;
1113                 else if (u2_n<0)
1114                         signu2=-1;
1115                 else
1116                         signu2=0;
1117
1118                 for(int i=0; i<(1+_Ndim)*_nVar;i++){
1119                         _absAroe[i] *= signu1;
1120                         _absAroe[i+(1+_Ndim)*_nVar] *= signu2;
1121                 }
1122
1123         }
1124         if(_spaceScheme ==upwind || _spaceScheme==pressureCorrection || _spaceScheme ==lowMach)//calcul de la valeur absolue
1125         {               //on ordonne les deux premieres valeurs
1126                 if(valeurs_propres_dist[1].real()<valeurs_propres_dist[0].real())
1127                 {
1128                         tmp=valeurs_propres_dist[0];
1129                         valeurs_propres_dist[0]=valeurs_propres_dist[1];
1130                         valeurs_propres_dist[1]=tmp;
1131                 }
1132                 vector< complex< double > > y (taille_vp,0);
1133                 for( int i=0 ; i<taille_vp ; i++)
1134                         y[i] = Polynoms::abs_generalise(valeurs_propres_dist[i]);
1135
1136                 if(_entropicCorrection)
1137                 {
1138                         double entShift0 = 0;
1139                         double entShift1 = 0;
1140                         entropicShift(_vec_normal,entShift0,entShift1);
1141                         //cout<<"entShift0= "<<entShift0<<endl;
1142                         for( int i=0 ; i<taille_vp ; i++)
1143                         {
1144                                 //cout<<"y["<<i<<"]="<<y[i].real()<<endl;
1145                                 y[i] += max(entShift0,entShift1);
1146                         }
1147                 }
1148
1149                 if(_verbose && _nbTimeStep%_freqSave ==0)
1150                 {
1151                         cout<<"valeurs propres"<<endl;
1152                         for( int i=0 ; i<taille_vp ; i++)
1153                                 cout<<valeurs_propres_dist[i] <<", "<<endl;
1154                         cout<<"valeurs à atteindre"<<endl;
1155                         for( int i=0 ; i<taille_vp ; i++)
1156                                 cout<<y[i] <<", "<<endl;
1157                 }
1158                 Polynoms::abs_par_interp_directe(taille_vp,valeurs_propres_dist, _Aroe, _nVar,_precision, _absAroe,y);
1159
1160                 if( _spaceScheme ==pressureCorrection){
1161                         for( int i=0 ; i<_Ndim ; i++)
1162                                 for( int j=0 ; j<_Ndim ; j++){
1163                                         _absAroe[(1+i)*_nVar+1+j]-=alpha*(valeurs_propres_dist[1].real()-valeurs_propres_dist[0].real())/2*_vec_normal[i]*_vec_normal[j];
1164                                         _absAroe[(2+_Ndim+i)*_nVar+2+_Ndim+j]-=(1-alpha)*(valeurs_propres_dist[1].real()-valeurs_propres_dist[0].real())/2*_vec_normal[i]*_vec_normal[j];
1165                                 }
1166                 }
1167                 else if( _spaceScheme ==lowMach){
1168                         double M=max(fabs(u1_n),fabs(u2_n))/maxvploc;
1169                         for( int i=0 ; i<_Ndim ; i++)
1170                                 for( int j=0 ; j<_Ndim ; j++){
1171                                         _absAroe[(1+i)*_nVar+1+j]-=(1-M)*alpha*(valeurs_propres_dist[1].real()-valeurs_propres_dist[0].real())/2*_vec_normal[i]*_vec_normal[j];
1172                                         _absAroe[(2+_Ndim+i)*_nVar+2+_Ndim+j]-=(1-M)*(1-alpha)*(valeurs_propres_dist[1].real()-valeurs_propres_dist[0].real())/2*_vec_normal[i]*_vec_normal[j];
1173                                 }
1174                 }
1175         }
1176
1177         //Calcul de la matrice signe pour VFFC, VFRoe et décentrement des termes source
1178
1179         if(_entropicCorrection || _spaceScheme ==pressureCorrection || _spaceScheme ==lowMach){
1180                 InvMatriceRoe( valeurs_propres_dist);
1181                 Polynoms::matrixProduct(_absAroe, _nVar, _nVar, _invAroe, _nVar, _nVar, _signAroe);
1182         }
1183         else if (_spaceScheme==upwind)//upwind sans entropic
1184                 SigneMatriceRoe( valeurs_propres_dist);
1185         else if (_spaceScheme==centered)//centre  sans entropic
1186         {
1187                 for(int i=0; i<_nVar*_nVar;i++)
1188                         _signAroe[i] = 0;
1189         }
1190         else  if(_spaceScheme ==staggered )
1191         {
1192                 double signu1,signu2;
1193                 if(u1_n>0)
1194                         signu1=1;
1195                 else if (u1_n<0)
1196                         signu1=-1;
1197                 else
1198                         signu1=0;
1199                 if(u2_n>0)
1200                         signu2=1;
1201                 else if (u2_n<0)
1202                         signu2=-1;
1203                 else
1204                         signu2=0;
1205                 for(int i=0; i<_nVar*_nVar;i++)
1206                         _signAroe[i] = 0;
1207                 _signAroe[0] = signu1;
1208                 _signAroe[(1+_Ndim)*_nVar +1+_Ndim] = signu2;
1209                 for(int i=2; i<_nVar-1;i++){
1210                         _signAroe[i*_nVar+i] = -signu1;
1211                         _signAroe[(i+1+_Ndim)*_nVar+i+1+_Ndim] = -signu2;
1212                 }
1213                 //_signAroe[_nVar*(_nVar-1)+_nVar-1] = signu;
1214         }
1215         else
1216                 throw CdmathException("FiveEqsTwoFluid::convectionMatrices: well balanced option not treated");
1217
1218         for(int i=0; i<_nVar*_nVar;i++)
1219         {
1220                 _AroeMinus[i] = (_Aroe[i]-_absAroe[i])/2;
1221                 _AroePlus[i]  = (_Aroe[i]+_absAroe[i])/2;
1222         }
1223         if(_timeScheme==Implicit && _usePrimitiveVarsInNewton)//Implicitation using primitive variables
1224                 for(int i=0; i<_nVar*_nVar;i++)
1225                         _AroeMinusImplicit[i] = (_AroeImplicit[i]-_absAroeImplicit[i])/2;
1226         else
1227                 for(int i=0; i<_nVar*_nVar;i++)
1228                         _AroeMinusImplicit[i] = _AroeMinus[i];
1229
1230         if(_verbose && _nbTimeStep%_freqSave ==0)
1231         {
1232                 cout<<"Matrice de Roe"<<endl;
1233                 for(int i=0; i<_nVar;i++){
1234                         for(int j=0; j<_nVar;j++)
1235                                 cout<<_Aroe[i*_nVar+j]<<" , ";
1236                         cout<<endl;
1237                 }
1238                 cout<<"Valeur absolue matrice de Roe"<<endl;
1239                 for(int i=0; i<_nVar;i++){
1240                         for(int j=0; j<_nVar;j++)
1241                                 cout<<_absAroe[i*_nVar+j]<<" , ";
1242                         cout<<endl;
1243                 }
1244                 cout<<"Signe matrice de Roe"<<endl;
1245                 for(int i=0; i<_nVar;i++){
1246                         for(int j=0; j<_nVar;j++)
1247                                 cout<<_signAroe[i*_nVar+j]<<" , ";
1248                         cout<<endl;
1249                 }
1250                 cout<<endl<<"Matrice _AroeMinus"<<endl;
1251                 for(int i=0; i<_nVar;i++)
1252                 {
1253                         for(int j=0; j<_nVar;j++)
1254                                 cout << _AroeMinus[i*_nVar+j]<< " , ";
1255                         cout<<endl;
1256                 }
1257                 cout<<endl<<"Matrice _AroePlus"<<endl;
1258                 for(int i=0; i<_nVar;i++)
1259                 {
1260                         for(int j=0; j<_nVar;j++)
1261                                 cout << _AroePlus[i*_nVar+j]<< " , ";
1262                         cout<<endl;
1263                 }
1264         }
1265 }
1266
1267 void FiveEqsTwoFluid::jacobianDiff(const int &j, string nameOfGroup)
1268 {
1269         int k;
1270         for(k=0; k<_nVar*_nVar;k++)
1271                 _JcbDiff[k] = 0;
1272         if (_limitField[nameOfGroup].bcType==Wall){
1273                 _idm[0] = _nVar*j;
1274                 for(k=1; k<_nVar; k++)
1275                         _idm[k] = _idm[k-1] + 1;
1276                 VecGetValues(_primitiveVars, _nVar, _idm, _Vj);
1277                 VecGetValues(_conservativeVars, _nVar, _idm, _Uj);
1278
1279                 double pression=_Vj[1];//pressure inside
1280                 double T=_Vj[_nVar-1];//temperature outside
1281                 double rho_v=_fluides[0]->getDensity(pression,T);
1282                 double rho_l=_fluides[1]->getDensity(pression,T);
1283                 _JcbDiff[0] = 1;
1284                 _JcbDiff[(1+_Ndim)*_nVar +1+_Ndim] = 1;
1285                 _JcbDiff[_nVar]=_limitField[nameOfGroup].v_x[0];
1286                 _JcbDiff[(2+_Ndim)*_nVar +1+_Ndim] =_limitField[nameOfGroup].v_x[1];
1287                 double v2_v=_limitField[nameOfGroup].v_x[0]*_limitField[nameOfGroup].v_x[0];
1288                 double v2_l=_limitField[nameOfGroup].v_x[1]*_limitField[nameOfGroup].v_x[1];
1289                 if(_Ndim>1)
1290                 {
1291                         _JcbDiff[2*_nVar]=_limitField[nameOfGroup].v_y[0];
1292                         _JcbDiff[(3+_Ndim)*_nVar +1+_Ndim]= _limitField[nameOfGroup].v_y[1];
1293                         v2_v+=_limitField[nameOfGroup].v_y[0]*_limitField[nameOfGroup].v_y[0];
1294                         v2_l+=_limitField[nameOfGroup].v_y[1]*_limitField[nameOfGroup].v_y[1];
1295                         if(_Ndim==3)
1296                         {
1297                                 _JcbDiff[3*_nVar]=_limitField[nameOfGroup].v_z[0];
1298                                 _JcbDiff[(4+_Ndim)*_nVar +1+_Ndim]= _limitField[nameOfGroup].v_z[1];
1299                                 v2_v+=_limitField[nameOfGroup].v_z[0]*_limitField[nameOfGroup].v_z[0];
1300                                 v2_l+=_limitField[nameOfGroup].v_z[1]*_limitField[nameOfGroup].v_z[1];
1301                         }
1302                 }
1303                 _JcbDiff[(_nVar-1)*_nVar]=         _fluides[0]->getInternalEnergy(_limitField[nameOfGroup].T,rho_v)+0.5*v2_v;
1304                 _JcbDiff[(_nVar-1)*_nVar +1+_Ndim]=_fluides[1]->getInternalEnergy(_limitField[nameOfGroup].T,rho_l)+0.5*v2_l;
1305         }
1306         else if (_limitField[nameOfGroup].bcType==Inlet){
1307                 /*
1308                 _JcbDiff[0] = 1;
1309                 _JcbDiff[(1+_Ndim)*_nVar +1+_Ndim] = 1;
1310                 _JcbDiff[_nVar]=_limitField[nameOfGroup].v_x[0];
1311                 _JcbDiff[(2+_Ndim)*_nVar +1+_Ndim] =_limitField[nameOfGroup].v_x[1];
1312                 double v2_v=_limitField[nameOfGroup].v_x[0]*_limitField[nameOfGroup].v_x[0];
1313                 double v2_l=_limitField[nameOfGroup].v_x[1]*_limitField[nameOfGroup].v_x[1];
1314                 if(_Ndim>1)
1315                 {
1316                         _JcbDiff[2*_nVar]=_limitField[nameOfGroup].v_y[0];
1317                         _JcbDiff[(3+_Ndim)*_nVar +1+_Ndim]= _limitField[nameOfGroup].v_y[1];
1318                         v2_v+=_limitField[nameOfGroup].v_y[0]*_limitField[nameOfGroup].v_y[0];
1319                         v2_l+=_limitField[nameOfGroup].v_y[1]*_limitField[nameOfGroup].v_y[1];
1320                         if(_Ndim==3)
1321                         {
1322                                 _JcbDiff[3*_nVar]=_limitField[nameOfGroup].v_z[0];
1323                                 _JcbDiff[(4+_Ndim)*_nVar +1+_Ndim]= _limitField[nameOfGroup].v_z[1];
1324                                 v2_v+=_limitField[nameOfGroup].v_z[0]*_limitField[nameOfGroup].v_z[0];
1325                                 v2_l+=_limitField[nameOfGroup].v_z[1]*_limitField[nameOfGroup].v_z[1];
1326                         }
1327                 }
1328                 _JcbDiff[(_nVar-1)*_nVar]=         _fluides[0]->getInternalEnergy(_limitField[nameOfGroup].T,rho_v)+0.5*v2_v;
1329                 _JcbDiff[(_nVar-1)*_nVar +1+_Ndim]=_fluides[1]->getInternalEnergy(_limitField[nameOfGroup].T,rho_l)+0.5*v2_l;
1330                  */
1331         } else if (_limitField[nameOfGroup].bcType==Outlet){
1332                 //extraction de l etat courant et primitives
1333                 /*
1334                 _idm[0] = j*_nVar;
1335                 for(k=1; k<_nVar;k++)
1336                 {_idm[k] = _idm[k-1] + 1;}
1337                 VecGetValues(_conservativeVars, _nVar, _idm, _phi);
1338                 VecGetValues(_primitiveVars, _nVar, _idm, _externalStates);
1339                  */
1340         }
1341         else if (_limitField[nameOfGroup].bcType!=Neumann && _limitField[nameOfGroup].bcType!=InletPressure){
1342                 cout<<"Condition  limite non traitee pour le bord "<<nameOfGroup<< endl;
1343                 throw CdmathException("FiveEqsTwoFluid::jacobianDiff: Condition  limite non traitee");
1344         }
1345 }
1346
1347
1348 void FiveEqsTwoFluid::setBoundaryState(string nameOfGroup, const int &j,double *normale){
1349         //To do controle signe des vitesses pour CL entree/sortie
1350         int k;
1351         double v1_2=0, v2_2=0, q1_n=0, q2_n=0, u1_n=0, u2_n=0;//quantités de mouvement et vitesses normales à la face limite;
1352         double v1[_Ndim], v2[_Ndim];
1353
1354         _idm[0] = _nVar*j;
1355         for(k=1; k<_nVar; k++)
1356                 _idm[k] = _idm[k-1] + 1;
1357
1358         VecGetValues(_conservativeVars, _nVar, _idm, _externalStates);//On initialise l'état fantôme avec l'état interne
1359         VecGetValues(_primitiveVars, _nVar, _idm, _Vj);
1360
1361         for(k=0; k<_Ndim; k++){
1362                 q1_n+=_externalStates[(k+1)]*normale[k];
1363                 q2_n+=_externalStates[(k+1+1+_Ndim)]*normale[k];
1364                 u1_n+=_Vj[(k+2)]*normale[k];
1365                 u2_n+=_Vj[(k+2+_Ndim)]*normale[k];
1366         }
1367
1368         if(_verbose && _nbTimeStep%_freqSave ==0)
1369         {
1370                 cout << "Boundary conditions for group "<< nameOfGroup<< ", inner cell j= "<<j << " face unit normal vector "<<endl;
1371                 for(k=0; k<_Ndim; k++){
1372                         cout<<normale[k]<<", ";
1373                 }
1374                 cout<<endl;
1375         }
1376
1377         if (_limitField[nameOfGroup].bcType==Wall){
1378
1379                 //Pour la convection, inversion du sens des vitesses
1380                 for(k=0; k<_Ndim; k++){
1381                         _externalStates[(k+1)]-= 2*q1_n*normale[k];
1382                         _externalStates[(k+1+1+_Ndim)]-= 2*q2_n*normale[k];
1383                         _Vj[(k+2)]-= 2*u1_n*normale[k];
1384                         _Vj[(k+2+_Ndim)]-= 2*u2_n*normale[k];
1385                 }
1386                 _idm[0] = 0;
1387                 for(k=1; k<_nVar; k++)
1388                         _idm[k] = _idm[k-1] + 1;
1389
1390                 VecAssemblyBegin(_Uext);
1391                 VecAssemblyBegin(_Vext);
1392                 VecSetValues(_Uext, _nVar, _idm, _externalStates, INSERT_VALUES);
1393                 VecSetValues(_Vext, _nVar, _idm, _Vj, INSERT_VALUES);
1394                 VecAssemblyEnd(_Uext);
1395                 VecAssemblyEnd(_Vext);
1396
1397                 //Pour la diffusion, paroi à vitesses et temperature imposees
1398                 double pression=_Vj[1];//pressure inside
1399                 double T=_Vj[_nVar-1];//temperature outside
1400                 double rho_v=_fluides[0]->getDensity(pression,T);
1401                 double rho_l=_fluides[1]->getDensity(pression,T);
1402                 _externalStates[1]=_externalStates[0]*_limitField[nameOfGroup].v_x[0];
1403                 _externalStates[2+_Ndim]=_externalStates[1+_Ndim]*_limitField[nameOfGroup].v_x[1];
1404                 if(_Ndim>1)
1405                 {
1406                         _externalStates[2]=_externalStates[0]*_limitField[nameOfGroup].v_y[0];
1407                         _externalStates[3+_Ndim]=_externalStates[1+_Ndim]*_limitField[nameOfGroup].v_y[1];
1408                         if(_Ndim==3)
1409                         {
1410                                 _externalStates[3]=_externalStates[0]*_limitField[nameOfGroup].v_z[0];
1411                                 _externalStates[4+_Ndim]=_externalStates[1+_Ndim]*_limitField[nameOfGroup].v_z[1];
1412                         }
1413                 }
1414                 _externalStates[_nVar-1] = _externalStates[0]*(_fluides[0]->getInternalEnergy(_limitField[nameOfGroup].T,rho_v) + v1_2/2)
1415                                                                                                                                                                                                                                                                                                                                                                         +_externalStates[1+_Ndim]*(_fluides[1]->getInternalEnergy(_limitField[nameOfGroup].T,rho_l) + v2_2/2);
1416                 VecAssemblyBegin(_Uextdiff);
1417                 VecSetValues(_Uextdiff, _nVar, _idm, _externalStates, INSERT_VALUES);
1418                 VecAssemblyEnd(_Uextdiff);
1419         }
1420         else if (_limitField[nameOfGroup].bcType==Neumann){
1421                 _idm[0] = _nVar*j;
1422                 for(k=1; k<_nVar; k++)
1423                         _idm[k] = _idm[k-1] + 1;
1424
1425                 _idm[0] = 0;
1426                 for(k=1; k<_nVar; k++)
1427                         _idm[k] = _idm[k-1] + 1;
1428
1429                 VecAssemblyBegin(_Uext);
1430                 VecSetValues(_Uext, _nVar, _idm, _externalStates, INSERT_VALUES);
1431                 VecAssemblyEnd(_Uext);
1432
1433                 VecAssemblyBegin(_Vext);
1434                 VecSetValues(_Vext, _nVar, _idm, _Vj, INSERT_VALUES);
1435                 VecAssemblyEnd(_Vext);
1436
1437                 VecAssemblyBegin(_Uextdiff);
1438                 VecSetValues(_Uextdiff, _nVar, _idm, _externalStates, INSERT_VALUES);
1439                 VecAssemblyEnd(_Uextdiff);
1440         }
1441         else if (_limitField[nameOfGroup].bcType==Inlet){
1442                 _idm[0] = _nVar*j;
1443                 for(k=1; k<_nVar; k++)
1444                         _idm[k] = _idm[k-1] + 1;
1445
1446                 double alpha=_limitField[nameOfGroup].alpha;//void fraction outside
1447                 double pression=_Vj[1];//pressure inside
1448                 double T=_limitField[nameOfGroup].T;//temperature outside
1449                 double rho_v=_fluides[0]->getDensity(pression,T);
1450                 double rho_l=_fluides[1]->getDensity(pression,T);
1451                 //cout<<"Inlet alpha= "<<alpha<<" pression= "<<pression<<" temperature= "<<T<<" velocity gas "<<_limitField[nameOfGroup].v_x[0]<<" velocity liq "<<_limitField[nameOfGroup].v_x[1]<<endl;
1452
1453                 _externalStates[0]=alpha*rho_v;
1454                 _externalStates[1 + _Ndim] = (1-alpha)*rho_l;
1455                 v1[0] = _limitField[nameOfGroup].v_x[0];
1456                 v2[0] = _limitField[nameOfGroup].v_x[1];
1457                 if (_Ndim >1){
1458                         v1[1] = _limitField[nameOfGroup].v_y[0];
1459                         v2[1] = _limitField[nameOfGroup].v_y[1];
1460                 }
1461                 if (_Ndim >2){
1462                         v1[2] = _limitField[nameOfGroup].v_z[0];
1463                         v2[2] = _limitField[nameOfGroup].v_z[1];
1464                 }
1465                 for (int idim=0;idim<_Ndim;idim++){
1466                         _externalStates[1 + idim] = v1[idim]* _externalStates[0]; // phase 1
1467                         _externalStates[2 + _Ndim + idim] = v2[idim]* _externalStates[1+_Ndim]; // phase 2
1468                         v1_2 += v1[idim]*v1[idim];
1469                         v2_2 += v2[idim]*v2[idim];
1470                         _Vj[2+idim] = v1[idim];
1471                         _Vj[2+_Ndim+idim] = v2[idim];
1472                 }
1473                 _externalStates[_nVar-1] = _externalStates[0]      *(_fluides[0]->getInternalEnergy(T,rho_v) + v1_2/2)
1474                                                                                                                                                                                                                                                                                                                                         +_externalStates[1+_Ndim]*(_fluides[1]->getInternalEnergy(T,rho_l) + v2_2/2);
1475                 // _Vj external primitives
1476                 _Vj[0] = alpha;
1477                 _Vj[_nVar-1] = T;
1478
1479                 _idm[0] = 0;
1480                 for(k=1; k<_nVar; k++)
1481                         _idm[k] = _idm[k-1] + 1;
1482
1483                 VecAssemblyBegin(_Uext);
1484                 VecAssemblyBegin(_Vext);
1485                 VecAssemblyBegin(_Uextdiff);
1486                 VecSetValues(_Uext, _nVar, _idm, _externalStates, INSERT_VALUES);
1487                 VecSetValues(_Vext, _nVar, _idm, _Vj, INSERT_VALUES);
1488                 VecSetValues(_Uextdiff, _nVar, _idm, _externalStates, INSERT_VALUES);
1489                 VecAssemblyEnd(_Uext);
1490                 VecAssemblyEnd(_Vext);
1491                 VecAssemblyEnd(_Uextdiff);
1492         }
1493         else if (_limitField[nameOfGroup].bcType==InletPressure){
1494                 _idm[0] = _nVar*j;
1495                 for(k=1; k<_nVar; k++)
1496                         _idm[k] = _idm[k-1] + 1;
1497
1498                 //Computation of the hydrostatic contribution : scalar product between gravity vector and position vector
1499                 Cell Cj=_mesh.getCell(j);
1500                 double hydroPress=Cj.x()*_GravityField3d[0];
1501                 if(_Ndim>1){
1502                         hydroPress+=Cj.y()*_GravityField3d[1];
1503                         if(_Ndim>2)
1504                                 hydroPress+=Cj.z()*_GravityField3d[2];
1505                 }
1506                 hydroPress*=_externalStates[0]+_externalStates[_Ndim];//multiplication by rho the total density
1507
1508                 //Building the external state
1509                 double alpha=_limitField[nameOfGroup].alpha;
1510                 double pression=_limitField[nameOfGroup].p+hydroPress;
1511                 double T=_limitField[nameOfGroup].T;
1512                 double rho_v=_fluides[0]->getDensity(pression,T);
1513                 double rho_l=_fluides[1]->getDensity(pression,T);
1514                 _externalStates[0]=alpha*rho_v;
1515                 _externalStates[1+_Ndim]=(1-alpha)*rho_l;
1516
1517                 for(int idim=0;idim<_Ndim;idim++){
1518                         _externalStates[idim+1]=_externalStates[0]*_Vj[idim+2];
1519                         _externalStates[idim+2+_Ndim]=_externalStates[1+_Ndim]*_Vj[idim+2+_Ndim];
1520                         v1_2+=_Vj[2+idim]*_Vj[2+idim];
1521                         v2_2+=_Vj[2+_Ndim+idim]*_Vj[2+_Ndim+idim];
1522                 }
1523                 _externalStates[_nVar-1]=    alpha *rho_v*(_fluides[0]->getInternalEnergy(T,rho_v)+v1_2/2)
1524                                                                                                                                                                                                                                                                                                                                                 +(1-alpha)*rho_l*(_fluides[1]->getInternalEnergy(T,rho_l)+v2_2/2);
1525                 // _Vj external primitives
1526                 _Vj[0] = alpha;
1527                 _Vj[1] = pression;
1528                 _Vj[_nVar-1] = T;
1529
1530                 _idm[0] = 0;
1531                 for(k=1; k<_nVar; k++)
1532                         _idm[k] = _idm[k-1] + 1;
1533                 VecAssemblyBegin(_Uext);
1534                 VecAssemblyBegin(_Vext);
1535                 VecAssemblyBegin(_Uextdiff);
1536                 VecSetValues(_Uext, _nVar, _idm, _externalStates, INSERT_VALUES);
1537                 VecSetValues(_Vext, _nVar, _idm, _Vj, INSERT_VALUES);
1538                 VecSetValues(_Uextdiff, _nVar, _idm, _externalStates, INSERT_VALUES);
1539                 VecAssemblyEnd(_Uext);
1540                 VecAssemblyEnd(_Vext);
1541                 VecAssemblyEnd(_Uextdiff);
1542         }
1543         else if (_limitField[nameOfGroup].bcType==Outlet){
1544                 _idm[0] = _nVar*j;
1545                 for(k=1; k<_nVar; k++)
1546                         _idm[k] = _idm[k-1] + 1;
1547
1548                 //Computation of the hydrostatic contribution : scalar product between gravity vector and position vector
1549                 Cell Cj=_mesh.getCell(j);
1550                 double hydroPress=Cj.x()*_GravityField3d[0];
1551                 if(_Ndim>1){
1552                         hydroPress+=Cj.y()*_GravityField3d[1];
1553                         if(_Ndim>2)
1554                                 hydroPress+=Cj.z()*_GravityField3d[2];
1555                 }
1556                 hydroPress*=_externalStates[0]+_externalStates[_Ndim];//multiplication by rho the total density
1557
1558                 //Building the external state
1559                 double pression_int=_Vj[1];
1560                 double pression_ext=_limitField[nameOfGroup].p+hydroPress;
1561                 double T=_Vj[_nVar-1];
1562                 double rho_v_int=_fluides[0]->getDensity(pression_int,T);
1563                 double rho_l_int=_fluides[1]->getDensity(pression_int,T);
1564                 double rho_v_ext=_fluides[0]->getDensity(pression_ext,T);
1565                 double rho_l_ext=_fluides[1]->getDensity(pression_ext,T);
1566
1567                 for(k=0;k<1+_Ndim;k++){
1568                         _externalStates[k]*=rho_v_ext/rho_v_int;
1569                         _externalStates[k+1+_Ndim]*=rho_l_ext/rho_l_int;
1570                 }
1571                 double alpha=_Vj[0];
1572                 //cout<<"Outlet alpha= "<<alpha<<" pression int= "<<pression_int<<" pression ext= "<<pression_ext<<" temperature= "<<T<<" velocity gas "<<_Uj[2]<<" velocity liq "<<_Uj[2+_Ndim]<<endl;
1573                 for(int idim=0;idim<_Ndim;idim++){
1574                         v1_2+=_Vj[2+idim]*_Vj[2+idim];
1575                         v2_2+=_Vj[2+_Ndim+idim]*_Vj[2+_Ndim+idim];
1576                 }
1577                 _externalStates[_nVar-1]=alpha*rho_v_ext*(_fluides[0]->getInternalEnergy(T,rho_v_int)+v1_2/2)+(1-alpha)*rho_l_ext*(_fluides[1]->getInternalEnergy(T,rho_l_int)+v2_2/2);
1578
1579                 // _Vj external primitives
1580                 _Vj[1] = pression_ext;
1581
1582                 _idm[0] = 0;
1583                 for(k=1; k<_nVar; k++)
1584                         _idm[k] = _idm[k-1] + 1;
1585                 VecAssemblyBegin(_Uext);
1586                 VecAssemblyBegin(_Vext);
1587                 VecAssemblyBegin(_Uextdiff);
1588                 VecSetValues(_Uext, _nVar, _idm, _externalStates, INSERT_VALUES);
1589                 VecSetValues(_Vext, _nVar, _idm, _Vj, INSERT_VALUES);
1590                 VecSetValues(_Uextdiff, _nVar, _idm, _externalStates, INSERT_VALUES);
1591                 VecAssemblyEnd(_Uext);
1592                 VecAssemblyEnd(_Vext);
1593                 VecAssemblyEnd(_Uextdiff);
1594         }
1595         else{
1596                 cout<<"Boundary condition not set for boundary named "<<nameOfGroup<<endl;
1597                 cout<<"Accepted boundary condition are Neumann, Wall, Inlet, and Outlet"<<endl;
1598                 throw CdmathException("Unknown boundary condition");
1599         }
1600 }
1601
1602 void FiveEqsTwoFluid::addDiffusionToSecondMember
1603 (               const int &i,
1604                 const int &j,
1605                 bool isBord)
1606 {
1607         double Tm=_Udiff[_nVar-1];
1608         double lambdal=_fluides[1]->getConductivity(Tm);
1609         double lambdav=_fluides[0]->getConductivity(Tm);
1610         double mu1 =_fluides[0]->getViscosity(Tm);
1611         double mu2 = _fluides[1]->getViscosity(Tm);
1612
1613         if(mu1==0 && mu2 ==0 && lambdav==0 && lambdal==0 && _heatTransfertCoeff==0)
1614                 return;
1615
1616         //extraction des valeurs
1617         _idm[0] = _nVar*i;
1618         for(int k=1; k<_nVar; k++)
1619                 _idm[k] = _idm[k-1] + 1;
1620
1621         VecGetValues(_primitiveVars, _nVar, _idm, _Vi);
1622         if (_verbose && _nbTimeStep%_freqSave ==0)
1623         {
1624                 cout << "Contribution diffusion: variables primitives maille " << i<<endl;
1625                 for(int q=0; q<_nVar; q++)
1626                 {
1627                         cout << _Vi[q] << endl;
1628                 }
1629                 cout << endl;
1630         }
1631
1632         if(!isBord ){
1633                 for(int k=0; k<_nVar; k++)
1634                         _idm[k] = _nVar*j + k;
1635
1636                 VecGetValues(_primitiveVars, _nVar, _idm, _Vj);
1637         }
1638         else
1639         {
1640                 lambdal=max(lambdal,_heatTransfertCoeff);//wall nucleate boing -> larger heat transfer
1641
1642                 for(int k=0; k<_nVar; k++)
1643                         _idm[k] = k;
1644                 VecGetValues(_Uextdiff, _nVar, _idm, _phi);
1645                 consToPrim(_phi,_Vj);
1646         }
1647
1648         if (_verbose && _nbTimeStep%_freqSave ==0)
1649         {
1650                 cout << "Contribution diffusion: variables primitives maille " <<j <<endl;
1651                 for(int q=0; q<_nVar; q++)
1652                 {
1653                         cout << _Vj[q] << endl;
1654                 }
1655                 cout << endl;
1656         }
1657         double alpha=(_Vj[0]+_Vi[0])/2;
1658         double lambda = alpha*lambdav+(1-alpha)*lambdal;
1659         //on n'a pas de contribution sur la masse
1660         _phi[0]=0;
1661         _phi[_Ndim+1]=0;
1662         //contribution visqueuse sur la quantite de mouvement
1663         for(int k=1; k<_Ndim+1; k++)
1664         {
1665                 _phi[k]         = _inv_dxi*2/(1/_inv_dxi+1/_inv_dxj)*mu1*alpha    *(_Vj[2+k] - _Vi[2+k]);//attention car primitif=alpha p u1 u2 T
1666                 _phi[k+_Ndim+1] = _inv_dxi*2/(1/_inv_dxi+1/_inv_dxj)*mu2*(1-alpha)*(_Vj[2+k+_Ndim] - _Vi[2+k+_Ndim]);
1667         }
1668         _phi[_nVar-1] = _inv_dxi*2/(1/_inv_dxi+1/_inv_dxj)*lambda  *(_Vj[_nVar-1] - _Vi[_nVar-1]);
1669         _idm[0] = i;
1670         VecSetValuesBlocked(_b, 1, _idm, _phi, ADD_VALUES);
1671
1672         if(_verbose && _nbTimeStep%_freqSave ==0)
1673         {
1674                 cout << "Contribution diffusion au 2nd membre pour la maille " << i << ": "<<endl;
1675                 for(int q=0; q<_nVar; q++)
1676                 {
1677                         cout << _phi[q] << endl;
1678                 }
1679                 cout << endl;
1680         }
1681
1682         if(!isBord)
1683         {
1684                 //On change de signe pour l'autre contribution
1685                 for(int k=0; k<_nVar; k++)
1686                         _phi[k] *= -_inv_dxj/_inv_dxi;
1687                 _idm[0] = j;
1688
1689                 VecSetValuesBlocked(_b, 1, _idm, _phi, ADD_VALUES);
1690         }
1691
1692         if(_verbose && _nbTimeStep%_freqSave ==0)
1693         {
1694                 cout << "Contribution diffusion au 2nd membre pour la maille  " << j << ": "<<endl;
1695                 for(int q=0; q<_nVar; q++)
1696                 {
1697                         cout << _phi[q] << endl;
1698                 }
1699                 cout << endl;
1700
1701                 if(_timeScheme==Implicit)
1702                 {
1703                         cout << "Matrice de diffusion D, pour le couple (" << i << "," << j<< "):" << endl;
1704                         for(int i=0; i<_nVar; i++)
1705                         {
1706                                 for(int j=0; j<_nVar; j++)
1707                                         cout << _Diffusion[i*_nVar+j]<<", ";
1708                                 cout << endl;
1709                         }
1710                         cout << endl;
1711                 }
1712         }
1713 }
1714
1715 void FiveEqsTwoFluid::jacobian(const int &j, string nameOfGroup, double * normale)
1716 {
1717         int k;
1718         for(k=0; k<_nVar*_nVar;k++)
1719                 _Jcb[k] = 0;//No implicitation at this stage
1720
1721         // loop of boundary types
1722         if (_limitField[nameOfGroup].bcType==Wall)
1723         {
1724                 for(k=0; k<_nVar;k++)
1725                         _Jcb[k*_nVar + k] = 1;
1726                 for(k=1; k<1+_Ndim;k++)
1727                         for(int l=1; l<1+_Ndim;l++){
1728                                 _Jcb[k*_nVar + l] -= 2*normale[k-1]*normale[l-1];
1729                                 _Jcb[(k+1+_Ndim)*_nVar + l+1+_Ndim] -= 2*normale[k-1]*normale[l-1];
1730                         }
1731         }
1732         //not wall
1733         else if (_limitField[nameOfGroup].bcType==Inlet)
1734         {
1735                 _Jcb[0] = 1;
1736                 _Jcb[(1+_Ndim)*_nVar +1+_Ndim] = 1;
1737                 _Jcb[_nVar]=_limitField[nameOfGroup].v_x[0];
1738                 _Jcb[(2+_Ndim)*_nVar +1+_Ndim] =_limitField[nameOfGroup].v_x[1];
1739                 if(_Ndim>1)
1740                 {
1741                         _Jcb[2*_nVar]=_limitField[nameOfGroup].v_y[0];
1742                         _Jcb[(3+_Ndim)*_nVar +1+_Ndim]= _limitField[nameOfGroup].v_y[1];
1743                         if(_Ndim==3)
1744                         {
1745                                 _Jcb[3*_nVar]=_limitField[nameOfGroup].v_z[0];
1746                                 _Jcb[(4+_Ndim)*_nVar +1+_Ndim]= _limitField[nameOfGroup].v_z[1];
1747
1748                         }
1749                 }
1750         }
1751         // not wall, not inlet
1752         else if (_limitField[nameOfGroup].bcType==Outlet){
1753                 _idm[0] = j*_nVar;
1754                 for(k=1; k<_nVar;k++)
1755                 {_idm[k] = _idm[k-1] + 1;}
1756                 VecGetValues(_conservativeVars, _nVar, _idm, _phi);
1757                 VecGetValues(_primitiveVars, _nVar, _idm, _externalStates);
1758         }
1759         else  if (_limitField[nameOfGroup].bcType!=Neumann && _limitField[nameOfGroup].bcType!=InletPressure)// not wall, not inlet, not outlet
1760         {
1761                 cout << "group named "<<nameOfGroup << " : unknown boundary condition" << endl;
1762                 throw CdmathException("FiveEqs::jacobianDiff: This boundary condition is not treated");
1763         }
1764 }
1765
1766
1767 void FiveEqsTwoFluid::primToCons(const double *P, const int &i, double *W, const int &j){
1768         //P= alpha, p, u1, u2, T
1769         //W=m1,q1,m2,q2,rhoE =alpha1*rho1*(e1+u1^2/2)+alpha2*rho2*(e2+u2^2/2)
1770         double alpha=P[i*_nVar];
1771         double pression=P[i*_nVar+1];
1772         double temperature=P[i*_nVar+_nVar-1];
1773         double rho_v=_fluides[0]->getDensity(pression,temperature);
1774         double rho_l=_fluides[1]->getDensity(pression,temperature);
1775         double u1_sq=0, u2_sq=0;
1776
1777         W[j*_nVar] = alpha*rho_v;
1778         W[j*_nVar+1+_Ndim] = (1-alpha)*rho_l;
1779         // alpha*rho*u
1780         for(int k=0; k<_Ndim; k++)
1781         {
1782                 W[j*_nVar+(k+1)] = W[j*_nVar]*P[i*_nVar+(k+2)];//alpha1*rho1*u1
1783                 W[j*_nVar+(k+1)+1+_Ndim] = W[j*_nVar+1+_Ndim]*P[i*_nVar+(k+2)+_Ndim];//alpha2*rho2*u2
1784         }
1785         // total energy
1786         W[j*_nVar+_nVar-1] = W[j*(_nVar)]* _fluides[0]->getInternalEnergy(temperature,rho_v)+W[j*(_nVar)+1+_Ndim]* _fluides[1]->getInternalEnergy(temperature,rho_l);
1787         for(int k=0; k<_Ndim; k++){
1788                 u1_sq+=P[i*_nVar+(k+2)]*P[i*_nVar+(k+2)];
1789                 u2_sq+=P[i*_nVar+(k+2)+_Ndim]*P[i*_nVar+(k+2)+_Ndim];
1790         }
1791         W[j*_nVar+_nVar-1] += (W[j*_nVar]*u1_sq+W[j*_nVar+1+_Ndim]*u2_sq)*0.5;
1792 }
1793
1794 void FiveEqsTwoFluid::consToPrim(const double *Wcons, double* Wprim,double porosity)//To do: treat porosity
1795 {
1796         //Wprim= alpha, p, u1, u2, T
1797         //Wcons=m1,q1,m2,q2,rhoE
1798         double m_v=Wcons[0];
1799         double m_l=Wcons[1+_Ndim];
1800         double q1_sq = 0,q2_sq = 0;
1801         _minm1=min(m_v,_minm1);
1802         _minm2=min(m_l,_minm2);
1803
1804         if(m_v<-_precision || m_l<-_precision){
1805                 _nbMaillesNeg+=1;
1806         }
1807         for(int k=0;k<_Ndim;k++){
1808                 q1_sq += Wcons[k+1]*Wcons[k+1];
1809                 q2_sq += Wcons[k+1+1+_Ndim]*Wcons[k+1+1+_Ndim];
1810         }
1811         if(Wcons[0]>0)//_precision*_precision*_precision)
1812                 q1_sq /= Wcons[0];      //alpha1 rho1 u1²
1813         else
1814                 q1_sq = 0;
1815         if(Wcons[1+_Ndim]>0)//_precision*_precision*_precision)
1816                 q2_sq /= Wcons[1+_Ndim];        //alpha2 rho2 u1²
1817         else
1818                 q2_sq = 0;
1819         double rho_m_e_m=Wcons[_nVar-1] -0.5*(q1_sq+q2_sq);
1820         //calcul de la temperature et de la pression pour une loi stiffened gas
1821         double temperature= (rho_m_e_m-m_v*static_cast<StiffenedGas*>(_fluides[0])->getInternalEnergy(0)-m_l*static_cast<StiffenedGas*>(_fluides[1])->getInternalEnergy(0))/(m_v*_fluides[0]->constante("cv")+m_l*_fluides[1]->constante("cv"));
1822         double e_v=static_cast<StiffenedGas*>(_fluides[0])->getInternalEnergy(temperature);
1823         double e_l=static_cast<StiffenedGas*>(_fluides[1])->getInternalEnergy(temperature);
1824         double gamma_v=_fluides[0]->constante("gamma");
1825         double gamma_l=_fluides[1]->constante("gamma");
1826         double Pinf_v=- gamma_v*_fluides[0]->constante("p0");
1827         double Pinf_l=- gamma_l*_fluides[1]->constante("p0");
1828         double a=1;
1829         double b=-(Pinf_v+m_v*(gamma_v-1)*e_v+Pinf_l+m_l*(gamma_l-1)*e_l);
1830         double c=Pinf_v*Pinf_l+Pinf_v*m_l*(gamma_l-1)*e_l+ Pinf_l*m_v*(gamma_v-1)*e_v;
1831         double delta= b*b-4*a*c;
1832         if(delta<0){
1833                 cout<<"delta= "<<delta<<" <0"<<endl;
1834                 *_runLogFile<<"delta= "<<delta<<" <0"<<endl;
1835                 throw CdmathException("FiveEqsTwoFluid::consToPrim: Failed to compute pressure");
1836         }
1837         double pression=(-b+sqrt(delta))/(2*a);
1838         if (pression < 1){
1839                 cout << "pressure = "<< pression << " < 1 Pa " << endl;
1840                 cout << "Conservative state = ";
1841                 for(int k=0; k<_nVar; k++){
1842                         cout<<Wcons[k]<<", ";
1843                 }
1844                 cout<<endl;
1845                 *_runLogFile << "FiveEqsTwoFluid::consToPrim: Failed to compute pressure = "<< pression << " < 1 Pa " << endl;
1846                 throw CdmathException("FiveEqsTwoFluid::consToPrim: Failed to compute pressure");
1847         }
1848
1849         double rho_v=_fluides[0]->getDensity(pression,temperature);
1850         double alpha=m_v/rho_v;
1851         Wprim[0]= alpha;
1852         Wprim[1] =  pression;
1853         for(int k=0;k<_Ndim;k++){//vitesses
1854                 if(Wcons[0]>0)//_precision*_precision*_precision)
1855                         Wprim[k+2] = Wcons[k+1]/Wcons[0];
1856                 else
1857                         Wprim[k+2] = Wcons[k+2+_Ndim]/Wcons[1+_Ndim];
1858                 if(Wcons[1+_Ndim]>0)//_precision*_precision*_precision)
1859                         Wprim[k+2+_Ndim] = Wcons[k+2+_Ndim]/Wcons[1+_Ndim];
1860                 else
1861                         Wprim[k+2+_Ndim] = Wcons[k+1]/Wcons[0];
1862         }
1863         Wprim[_nVar-1] = temperature;
1864 }
1865
1866 void FiveEqsTwoFluid::entropicShift(double* n, double& vpcorr0, double& vpcorr1)
1867 {
1868
1869         // parameters of function dgeev_ (compute the eigenvalues)
1870         int LDA, LDVL,LWORK, SDIM,LDVR;
1871         LDA = _nVar;
1872         LDVL = _nVar;
1873         LDVR = _nVar;
1874         LWORK = 20*_nVar;
1875         char jobvl[]="N", jobvr[]="N";
1876         double WORK[LWORK], JacoMat[_nVar*_nVar],egvaReal[_nVar],egvaImag[_nVar],egVectorL[_nVar*_nVar],egVectorR[_nVar*_nVar];
1877         int info_l = 0, info_r = 0;
1878
1879         /******** Left: Compute the eigenvalues and eigenvectors of Jacobian Matrix (using lapack)********/
1880         convectionJacobianMatrix(_l, n);
1881         for (int i=0; i<_nVar*_nVar; i++){
1882                 JacoMat[i] = _JacoMat[i];
1883         }
1884         dgeev_(jobvl, jobvl,  &_nVar,
1885                         JacoMat,&LDA,egvaReal,egvaImag, egVectorL,
1886                         &LDVL,egVectorR,
1887                         &LDVR, WORK,&LWORK,
1888                         &info_l);
1889
1890         //      /******** Right: Compute the eigenvalues and eigenvectors of Jacobian Matrix (using lapack)********/
1891         convectionJacobianMatrix(_r, n);
1892         for (int i=0; i<_nVar*_nVar; i++){
1893                 JacoMat[i] = _JacoMat[i];
1894         }
1895         dgeev_(jobvl, jobvl,  &_nVar,
1896                         JacoMat,&LDA,egvaReal,egvaImag, egVectorL,
1897                         &LDVL,egVectorR,
1898                         &LDVR, WORK,&LWORK,
1899                         &info_r);
1900
1901         if (info_l < 0 || info_r < 0)
1902         {
1903                 cout<<"Warning FiveEqsTwoFluid::entropicShift: dgeev_ did not compute all the eigenvalues, trying heuristic entropy correction "<<endl;
1904                 double u1l_n=0, u2l_n=0, u1r_n=0, u2r_n=0;
1905                 for (int idim=0; idim<_Ndim; idim++){
1906                         u1l_n= _l[2+idim]      *n[idim];
1907                         u2l_n= _l[2+idim+_Ndim]*n[idim];
1908                         u1r_n= _r[2+idim]      *n[idim];
1909                         u2r_n= _r[2+idim+_Ndim]*n[idim];
1910                 }
1911
1912                 vpcorr0 =max(fabs(u1l_n-u1r_n),fabs(u2l_n-u2r_n));
1913                 vpcorr1 = vpcorr0;
1914         }
1915         else
1916         {
1917                 std::vector< std::complex<double> > eigValuesLeft(_nVar);
1918                 std::vector< std::complex<double> > eigValuesRight(_nVar);
1919                 for(int j=0; j<_nVar; j++){
1920                         eigValuesLeft[j] = complex<double>(egvaReal[j],egvaImag[j]);
1921                         eigValuesRight[j] = complex<double>(egvaReal[j],egvaImag[j]);
1922                 }
1923                 int sizeLeft =  Polynoms::new_tri_selectif(eigValuesLeft, eigValuesLeft.size(), _precision);
1924                 int sizeRight =  Polynoms::new_tri_selectif(eigValuesRight, eigValuesRight.size(), _precision);
1925                 if (_verbose && (_nbTimeStep-1)%_freqSave ==0)
1926                 {
1927                         cout<<" Eigenvalue of JacoMat Left: " << endl;
1928                         for(int i=0; i<sizeLeft; i++)
1929                                 cout<<eigValuesLeft[i] << ", "<<endl;
1930                 }
1931                 if (_verbose && _nbTimeStep%_freqSave ==0)
1932                 {
1933                         cout<<" Eigenvalue of JacoMat Right: " << endl;
1934                         for(int i=0; i<sizeRight; i++)
1935                                 cout<<eigValuesRight[i] << ", "<<endl;
1936                 }
1937                 vpcorr0 = 0;
1938                 for (int i=1; i<min(sizeLeft,sizeRight)-1; i++)
1939                         vpcorr0 = max(vpcorr0, abs(eigValuesRight[i]-eigValuesLeft[i]));// Kieu
1940                 vpcorr1 = vpcorr0;
1941         }
1942 }
1943
1944 void FiveEqsTwoFluid::entropicShift(double* n)
1945 {
1946
1947         // parameters of function dgeev_ (compute the eigenvalues)
1948         int LDA, LDVL,LWORK, SDIM,LDVR;
1949         LDA = _nVar;
1950         LDVL = _nVar;
1951         LDVR = _nVar;
1952         LWORK = 20*_nVar;
1953         char jobvl[]="N", jobvr[]="N";
1954         double WORK[LWORK], JacoMat[_nVar*_nVar],egvaReal[_nVar],egvaImag[_nVar],egVectorL[_nVar*_nVar],egVectorR[_nVar*_nVar];
1955         int info = 0;
1956         /******** Left: Compute the eigenvalues and eigenvectors of Jacobian Matrix (using lapack)********/
1957         convectionJacobianMatrix(_l, n);
1958         for (int i=0; i<_nVar*_nVar; i++){
1959                 JacoMat[i] = _JacoMat[i];
1960         }
1961         dgeev_(jobvl, jobvl,  &_nVar,
1962                         JacoMat,&LDA,egvaReal,egvaImag, egVectorL,
1963                         &LDVL,egVectorR,
1964                         &LDVR, WORK,&LWORK,
1965                         &info);
1966         if (info != 0){
1967                 *_runLogFile<<"FiveEqsTwoFluid::JacoMat: dgeev_ unsuccessful computation of the eigenvalues of Jacobian Matrix (left)"<<endl;
1968                 throw CdmathException(
1969                                 "FiveEqsTwoFluid::JacoMat: dgeev_ unsuccessful computation of the eigenvalues of Jacobian Matrix (left)");
1970         }
1971
1972         std::vector< std::complex<double> > eigValuesLeft(_nVar,0.);
1973         for(int j=0; j<_nVar; j++){
1974                 eigValuesLeft[j] = complex<double>(egvaReal[j],egvaImag[j]);
1975         }
1976         //      /******** Right: Compute the eigenvalues and eigenvectors of Jacobian Matrix (using lapack)********/
1977         convectionJacobianMatrix(_r, n);
1978         for (int i=0; i<_nVar*_nVar; i++){
1979                 JacoMat[i] = _JacoMat[i];
1980         }
1981         dgeev_(jobvl, jobvl,  &_nVar,
1982                         JacoMat,&LDA,egvaReal,egvaImag, egVectorL,
1983                         &LDVL,egVectorR,
1984                         &LDVR, WORK,&LWORK,
1985                         &info);
1986         if (info != 0)
1987                 {
1988                 *_runLogFile<<"FiveEqsTwoFluid::entropicShift: dgeev_ unsuccessful computation of the eigenvalues of Jacobian Matrix (right)"<<endl;
1989                 throw CdmathException(
1990                                 "FiveEqsTwoFluid::entropicShift: dgeev_ unsuccessful computation of the eigenvalues of Jacobian Matrix (right)");
1991                 }
1992
1993         std::vector< std::complex<double> > eigValuesRight(_nVar,0.);
1994         for(int j=0; j<_nVar; j++){
1995                 eigValuesRight[j] = complex<double>(egvaReal[j],egvaImag[j]);
1996         }
1997         int sizeLeft =  Polynoms::new_tri_selectif(eigValuesLeft, eigValuesLeft.size(), _precision);
1998         int sizeRight =  Polynoms::new_tri_selectif(eigValuesRight, eigValuesRight.size(), _precision);
1999         if (_verbose && (_nbTimeStep-1)%_freqSave ==0)
2000         {
2001                 cout<<" Eigenvalue of JacoMat Left: " << endl;
2002                 for(int i=0; i<sizeLeft; i++)
2003                         cout<<eigValuesLeft[i] << ", "<<endl;
2004                 cout<<" Eigenvalue of JacoMat Right: " << endl;
2005                 for(int i=0; i<sizeRight; i++)
2006                         cout<<eigValuesRight[i] << ", "<<endl;
2007         }
2008         for (int i=0; i<min(sizeLeft,sizeRight)-1; i++)
2009                 _entropicShift[i]= abs(eigValuesRight[i]-eigValuesLeft[i]);
2010 }
2011
2012 Vector FiveEqsTwoFluid::staggeredVFFCFlux()
2013 {
2014         if(_spaceScheme!=staggered || _nonLinearFormulation!=VFFC)
2015                 throw CdmathException("IsothermalTwoFluid::staggeredVFFCFlux: staggeredVFFCFlux method should be called only for VFFC formulation and staggered upwinding");
2016         else//_spaceScheme==staggered
2017         {
2018                 Vector Fij(_nVar);
2019                 Fij(_nVar-1)=0;
2020                 double alpha_roe = _Uroe[0];//Toumi formula
2021                 // interfacial pressure term (hyperbolic correction)
2022                 double dpi = _Uroe[_nVar];
2023
2024                 double u1ijn=0, u2ijn=0, phialphaq1n=0, phialphaq2n=0,vitesse1n=0,vitesse2n=0;
2025                 for(int idim=0;idim<_Ndim;idim++){//URoe = alpha, p, u1, u2, T, dpi
2026                         u1ijn+=_vec_normal[idim]*_Uroe[2+idim];
2027                         u2ijn+=_vec_normal[idim]*_Uroe[2+_Ndim+idim];
2028                 }
2029                 if(u1ijn>=0)
2030                 {
2031                         for(int idim=0;idim<_Ndim;idim++){
2032                                 phialphaq1n+=_vec_normal[idim]*_Ui[1+idim];//phi alpha rho u n
2033                                 vitesse1n  +=_vec_normal[idim]*_Vi[2+idim];
2034                         }
2035                         Fij(0)=phialphaq1n;
2036                         for(int idim=0;idim<_Ndim;idim++)
2037                                 Fij(1+idim)=phialphaq1n*_Vi[2+idim]+(alpha_roe*_Vj[1]*_porosityj+dpi*_Vi[0]*_porosityi)*_vec_normal[idim];
2038
2039                         double pressioni=_Vi[1];
2040                         double Temperaturei= _Vi[_nVar-1];
2041                         double rho1=_fluides[0]->getDensity(pressioni,Temperaturei);
2042                         double e1_int=_fluides[0]->getInternalEnergy(Temperaturei,rho1);
2043                         Fij(_nVar-1)+=_Ui[0]*(e1_int+0.5*vitesse1n*vitesse1n+_Vj[1]/rho1)*vitesse1n;
2044                 }
2045                 else
2046                 {
2047                         for(int idim=0;idim<_Ndim;idim++){
2048                                 phialphaq2n+=_vec_normal[idim]*_Uj[1+idim];//phi alpha rho u n
2049                                 vitesse1n  +=_vec_normal[idim]*_Vj[2+idim];
2050                         }
2051                         Fij(0)=phialphaq2n;
2052                         for(int idim=0;idim<_Ndim;idim++)
2053                                 Fij(1+idim)=phialphaq2n*_Vj[2+idim]+(alpha_roe*_Vi[1]*_porosityi+dpi*_Vj[0]*_porosityj)*_vec_normal[idim];
2054
2055                         double pressionj=_Vj[1];
2056                         double Temperaturej= _Vj[_nVar-1];
2057                         double rho1=_fluides[0]->getDensity(pressionj,Temperaturej);
2058                         double e1_int=_fluides[0]->getInternalEnergy(Temperaturej,rho1);
2059                         Fij(_nVar-1)+=_Uj[0]*(e1_int+0.5*vitesse1n*vitesse1n+_Vi[1]/rho1)*vitesse1n;
2060                 }
2061
2062                 if(u2ijn>=0)
2063                 {
2064                         for(int idim=0;idim<_Ndim;idim++){
2065                                 phialphaq2n+=_vec_normal[idim]*_Ui[2+_Ndim+idim];//phi alpha rho u n
2066                                 vitesse2n  +=_vec_normal[idim]*_Vi[2+idim+_Ndim];
2067                         }
2068                         Fij(1+_Ndim)=phialphaq2n;
2069                         for(int idim=0;idim<_Ndim;idim++)
2070                                 Fij(2+_Ndim+idim)=phialphaq2n*_Vi[2+_Ndim+idim]+((1-alpha_roe)*_Vj[1]*_porosityj-dpi*_Vi[0]*_porosityi)*_vec_normal[idim];
2071
2072                         double pressioni=_Vi[1];
2073                         double Temperaturei= _Vi[_nVar-1];
2074                         double rho2=_fluides[1]->getDensity(pressioni,Temperaturei);
2075                         double e2_int=_fluides[1]->getInternalEnergy(Temperaturei,rho2);
2076                         Fij(_nVar-1)+=_Ui[1+_Ndim]*(e2_int+0.5*vitesse2n*vitesse2n+_Vj[1]/rho2)*vitesse2n;
2077                 }
2078                 else
2079                 {
2080                         for(int idim=0;idim<_Ndim;idim++){
2081                                 phialphaq2n+=_vec_normal[idim]*_Uj[2+_Ndim+idim];//phi alpha rho u n
2082                                 vitesse2n  +=_vec_normal[idim]*_Vj[2+idim+_Ndim];
2083                         }
2084                         Fij(1+_Ndim)=phialphaq2n;
2085                         for(int idim=0;idim<_Ndim;idim++)
2086                                 Fij(2+_Ndim+idim)=phialphaq2n*_Vj[2+_Ndim+idim]+((1-alpha_roe)*_Vi[1]*_porosityi-dpi*_Vj[0]*_porosityj)*_vec_normal[idim];
2087
2088                         double pressionj=_Vj[1];
2089                         double Temperaturej= _Vj[_nVar-1];
2090                         double rho2=_fluides[1]->getDensity(pressionj,Temperaturej);
2091                         double e2_int=_fluides[1]->getInternalEnergy(Temperaturej,rho2);
2092                         Fij(_nVar-1)+=_Uj[1+_Ndim]*(e2_int+0.5*vitesse2n*vitesse2n+_Vi[1]/rho2)*vitesse2n;
2093                 }
2094                 return Fij;
2095         }
2096 }
2097
2098 void FiveEqsTwoFluid::applyVFRoeLowMachCorrections(bool isBord, string groupname)
2099 {
2100         if(_nonLinearFormulation!=VFRoe)
2101                 throw CdmathException("FiveEqsTwoFluid::applyVFRoeLowMachCorrections: applyVFRoeLowMachCorrections method should be called only for VFRoe formulation");
2102         else//_nonLinearFormulation==VFRoe
2103         {
2104                 if(_spaceScheme==lowMach){
2105                         double u1_2=0, u2_2=0;
2106                         for(int i=0;i<_Ndim;i++){
2107                                 u1_2 += _Uroe[2+i]*_Uroe[2+i];
2108                                 u2_2 += _Uroe[2+i+_Ndim]*_Uroe[2+i+_Ndim];
2109                         }
2110
2111                         double  c = _maxvploc;//mixture sound speed
2112                         double M=max(sqrt(u1_2),sqrt(u2_2))/c;//Mach number
2113                         _Vij[1]=M*_Vij[1]+(1-M)*(_Vi[1]+_Vj[1])/2;
2114                         primToCons(_Vij,0,_Uij,0);
2115                 }
2116                 else if(_spaceScheme==pressureCorrection)
2117                 {
2118                         if(_pressureCorrectionOrder>2)
2119                                 throw CdmathException("FiveEqsTwoFluid::applyVFRoeLowMachCorrections pressure correction order can be only 1 or 2 for five equation two-fluid model");
2120
2121                         double norm_uij=0, uij_n=0, ui_n=0, uj_n=0;//mean velocities
2122                         double rho1 =  _fluides[0]->getDensity(_Uroe[1],_Uroe[_nVar-1]);
2123                         double rho2 =  _fluides[1]->getDensity(_Uroe[1],_Uroe[_nVar-1]);
2124                         double m1=_Uroe[0]*rho1,  m2=(1-_Uroe[0])*rho2;
2125                         double rhom=m1+m2;
2126                         for(int i=0;i<_Ndim;i++)
2127                         {
2128                                 norm_uij += (m1*_Uroe[2+i]+m2*_Uroe[2+i+_Ndim])*(m1*_Uroe[2+i]+m2*_Uroe[2+i+_Ndim]);
2129                                 uij_n += (m1*_Uroe[2+i]+m2*_Uroe[2+i+_Ndim])*_vec_normal[i];
2130                                 ui_n += _Vi[2+i]*_vec_normal[i];
2131                                 uj_n += _Vj[2+i]*_vec_normal[i];
2132                         }
2133                         norm_uij=sqrt(norm_uij)/rhom;
2134                         uij_n/=rhom;
2135                         if(norm_uij>_precision)//avoid division by zero
2136                                 _Vij[1]=(_Vi[1]+_Vj[1])/2 + uij_n/norm_uij*(_Vj[1]-_Vi[1])/4 - rhom*norm_uij*(uj_n-ui_n)/4;
2137                         else
2138                                 _Vij[1]=(_Vi[1]+_Vj[1])/2                                    - rhom*norm_uij*(uj_n-ui_n)/4;
2139                 }
2140                 else if(_spaceScheme==staggered)
2141                 {
2142                         double qij_n=0;
2143                         double rho1 =  _fluides[0]->getDensity(_Uroe[1],_Uroe[_nVar-1]);
2144                         double rho2 =  _fluides[1]->getDensity(_Uroe[1],_Uroe[_nVar-1]);
2145                         double m1=_Uroe[0]*rho1,  m2=(1-_Uroe[0])*rho2;
2146                         double rhom=m1+m2;
2147                         for(int i=0;i<_Ndim;i++)
2148                                 qij_n += (m1*_Uroe[2+i]+m2*_Uroe[2+i+_Ndim])*_vec_normal[i];
2149
2150                         if(qij_n>=0){
2151                                 _Vij[0]=_Vi[0];
2152                                 _Vij[1]=_Vj[1];
2153                                 for(int i=0;i<_Ndim;i++)
2154                                 {
2155                                         _Vij[2+i]               =_Vi[2+i];
2156                                         _Vij[2+i+_Ndim] =_Vi[2+i+_Ndim];
2157                                 }
2158                                 _Vij[_nVar-1]=_Vi[_nVar-1];
2159                         }
2160                         else{
2161                                 _Vij[0]=_Vj[0];
2162                                 _Vij[1]=_Vi[1];
2163                                 for(int i=0;i<_Ndim;i++)
2164                                 {
2165                                         _Vij[2+i]               =_Vj[2+i];
2166                                         _Vij[2+i+_Ndim] =_Vj[2+i+_Ndim];
2167                                 }
2168                                 _Vij[_nVar-1]=_Vj[_nVar-1];
2169                         }
2170                         primToCons(_Vij,0,_Uij,0);
2171                 }
2172         }
2173 }
2174
2175 void FiveEqsTwoFluid::computeScaling(double maxvp)
2176 {
2177         _blockDiag[0]=1;//alphaScaling;
2178         _invBlockDiag[0]=1;//_blockDiag[0];
2179         _blockDiag[1+_Ndim]=1;//-alphaScaling;
2180         _invBlockDiag[1+_Ndim]=1.0;//_blockDiag[1+_Ndim];
2181         for(int q=1; q<_Ndim+1; q++)
2182         {
2183                 _blockDiag[q]=1/maxvp;
2184                 _invBlockDiag[q]=1/_blockDiag[q];
2185                 _blockDiag[q+1+_Ndim]=1/maxvp;
2186                 _invBlockDiag[q+1+_Ndim]=1/_blockDiag[q+1+_Ndim];
2187         }
2188         _blockDiag[_nVar - 1]=1/(maxvp*maxvp);//1
2189         _invBlockDiag[_nVar - 1]=  1./_blockDiag[_nVar - 1] ;// 1.;//
2190 }
2191
2192 void FiveEqsTwoFluid::testConservation()
2193 {
2194         double SUM, DELTA, x;
2195         int I;
2196         for(int i=0; i<_nVar; i++)
2197         {
2198                 {
2199                         if(i == 0)
2200                                 cout << "Masse totale phase " << 0 <<" (kg): ";
2201                         else if( i == 1+_Ndim)
2202                                 cout << "Masse totale phase " << 1 <<" (kg): ";
2203                         else if( i == _nVar-1)
2204                                 cout << "Energie totale " <<" (J.m^-3): ";
2205                         else
2206                         {
2207                                 if(i < 1+_Ndim)
2208                                         cout << "Quantite de mouvement totale phase 0 (kg.m.s^-1): ";
2209                                 else
2210                                         cout << "Quantite de mouvement totale phase 1 (kg.m.s^-1): ";
2211                         }
2212                 }
2213                 SUM = 0;
2214                 DELTA = 0;
2215                 I =  i;
2216                 for(int j=0; j<_Nmailles; j++)
2217                 {
2218                         VecGetValues(_old, 1, &I, &x);//on recupere la valeur du champ
2219                         SUM += x*_mesh.getCell(j).getMeasure();
2220                         VecGetValues(_newtonVariation, 1, &I, &x);//on recupere la variation du champ
2221                         DELTA += x*_mesh.getCell(j).getMeasure();
2222                         I += _nVar;
2223                 }
2224                 if(fabs(SUM)>_precision)
2225                         cout << SUM << ", variation relative: " << fabs(DELTA /SUM)  << endl;
2226                 else
2227                         cout << " a une somme nulle,  variation absolue: " << fabs(DELTA) << endl;
2228         }
2229 }
2230
2231 void FiveEqsTwoFluid::save(){
2232         string prim(_path+"/FiveEqsTwoFluidPrim_");
2233         string cons(_path+"/FiveEqsTwoFluidCons_");
2234         prim+=_fileName;
2235         cons+=_fileName;
2236
2237         PetscInt Ii, lj;
2238         for (PetscInt i = 0; i < _Nmailles; i++){
2239                 /* j = 0 : void fraction
2240                            j = 1 : pressure
2241                            j = 2, 3, 4: velocity phase 1
2242                            j = 5, 6, 7: velocity phase 2
2243                            j = 8 : temperature */
2244                 for (int j = 0; j < _nVar; j++){
2245                         Ii = i*_nVar +j;
2246                         VecGetValues(_primitiveVars,1,&Ii,&_VV(i,j));
2247                 }
2248         }
2249         if(_saveConservativeField){
2250                 for (long i = 0; i < _Nmailles; i++){
2251                         for (int j = 0; j < _nVar; j++){
2252                                 Ii = i*_nVar +j;
2253                                 VecGetValues(_conservativeVars,1,&Ii,&_UU(i,j));
2254                         }
2255                 }
2256                 _UU.setTime(_time,_nbTimeStep+1);
2257         }
2258         _VV.setTime(_time,_nbTimeStep+1);
2259
2260         if (_nbTimeStep ==0 || _restartWithNewFileName){
2261                 string prim_suppress ="rm -rf "+prim+"_*";
2262                 string cons_suppress ="rm -rf "+cons+"_*";
2263                 system(prim_suppress.c_str());//Nettoyage des précédents calculs identiques
2264                 system(cons_suppress.c_str());//Nettoyage des précédents calculs identiques
2265                 _VV.setInfoOnComponent(0,"Void_fraction");
2266                 _VV.setInfoOnComponent(1,"Pressure_(Pa)");
2267                 _VV.setInfoOnComponent(2,"Velocity1_x_m/s");
2268
2269                 if (_Ndim>1)
2270                         _VV.setInfoOnComponent(3,"Velocity1_y_m/s");
2271                 if (_Ndim>2)
2272                         _VV.setInfoOnComponent(4,"Velocity1_z_m/s");
2273                 _VV.setInfoOnComponent(2+_Ndim,"Velocity2_x_m/s");
2274                 if (_Ndim>1)
2275                         _VV.setInfoOnComponent(3+_Ndim,"Velocity2_y_m/s");
2276                 if (_Ndim>2)
2277                         _VV.setInfoOnComponent(4+_Ndim,"Velocity2_z_m/s");
2278                 _VV.setInfoOnComponent(_nVar-1,"Temperature_(K)");
2279
2280                 switch(_saveFormat)
2281                 {
2282                 case VTK :
2283                         _VV.writeVTK(prim);
2284                         break;
2285                 case MED :
2286                         _VV.writeMED(prim);
2287                         break;
2288                 case CSV :
2289                         _VV.writeCSV(prim);
2290                         break;
2291                 }
2292                 if(_saveConservativeField){
2293                         _UU.setInfoOnComponent(0,"Partial_density1");// (kg/m^3)
2294                         _UU.setInfoOnComponent(1,"Momentum1_x");// phase1 (kg/m^2/s)
2295                         if (_Ndim>1)
2296                                 _UU.setInfoOnComponent(2,"Momentum1_y");// phase1 (kg/m^2/s)
2297                         if (_Ndim>2)
2298                                 _UU.setInfoOnComponent(3,"Momentum1_z");// phase1  (kg/m^2/s)
2299                         _UU.setInfoOnComponent(1+_Ndim,"Partial_density2");// phase2 (kg/m^3)
2300                         _UU.setInfoOnComponent(2+_Ndim,"Momentum2_x");// phase2 (kg/m^2/s)
2301
2302                         if (_Ndim>1)
2303                                 _UU.setInfoOnComponent(3+_Ndim,"Momentum2_y");// phase2 (kg/m^2/s)
2304                         if (_Ndim>2)
2305                                 _UU.setInfoOnComponent(4+_Ndim,"Momentum2_z");// phase2 (kg/m^2/s)
2306                         _UU.setInfoOnComponent(_nVar-1,"Total_energy");
2307
2308                         switch(_saveFormat)
2309                         {
2310                         case VTK :
2311                                 _UU.writeVTK(cons);
2312                                 break;
2313                         case MED :
2314                                 _UU.writeMED(cons);
2315                                 break;
2316                         case CSV :
2317                                 _UU.writeCSV(cons);
2318                                 break;
2319                         }
2320                 }
2321         }
2322         else{
2323                 switch(_saveFormat)
2324                 {
2325                 case VTK :
2326                         _VV.writeVTK(prim,false);
2327                         break;
2328                 case MED :
2329                         _VV.writeMED(prim,false);
2330                         break;
2331                 case CSV :
2332                         _VV.writeCSV(prim);
2333                         break;
2334                 }
2335
2336                 if(_saveConservativeField){
2337                         switch(_saveFormat)
2338                         {
2339                         case VTK :
2340                                 _UU.writeVTK(cons,false);
2341                                 break;
2342                         case MED :
2343                                 _UU.writeMED(cons,false);
2344                                 break;
2345                         case CSV :
2346                                 _UU.writeCSV(cons);
2347                                 break;
2348                         }
2349                 }
2350         }
2351         if(_saveVelocity){
2352                 for (long i = 0; i < _Nmailles; i++){
2353                         // j = 0 : concentration, j=1 : pressure; j = _nVar - 1: temperature; j = 2,..,_nVar-2: velocity
2354                         for (int j = 0; j < _Ndim; j++)//On récupère les composantes de vitesse
2355                         {
2356                                 Ii = i*_nVar +2+j;
2357                                 VecGetValues(_primitiveVars,1,&Ii,&_Vitesse1(i,j));
2358                                 Ii=i*_nVar +2+j+_Ndim;
2359                                 VecGetValues(_primitiveVars,1,&Ii,&_Vitesse2(i,j));
2360                         }
2361                         for (int j = _Ndim; j < 3; j++){//On met à zero les composantes de vitesse si la dimension est <3
2362                                 _Vitesse1(i,j)=0;
2363                                 _Vitesse2(i,j)=0;
2364                         }
2365                 }
2366                 _Vitesse1.setTime(_time,_nbTimeStep);
2367                 _Vitesse2.setTime(_time,_nbTimeStep);
2368                 if (_nbTimeStep ==0 || _restartWithNewFileName){
2369                         _Vitesse1.setInfoOnComponent(0,"Velocity_x_(m/s)");
2370                         _Vitesse1.setInfoOnComponent(1,"Velocity_y_(m/s)");
2371                         _Vitesse1.setInfoOnComponent(2,"Velocity_z_(m/s)");
2372
2373                         _Vitesse2.setInfoOnComponent(0,"Velocity_x_(m/s)");
2374                         _Vitesse2.setInfoOnComponent(1,"Velocity_y_(m/s)");
2375                         _Vitesse2.setInfoOnComponent(2,"Velocity_z_(m/s)");
2376
2377                         switch(_saveFormat)
2378                         {
2379                         case VTK :
2380                                 _Vitesse1.writeVTK(prim+"_GasVelocity");
2381                                 _Vitesse2.writeVTK(prim+"_LiquidVelocity");
2382                                 break;
2383                         case MED :
2384                                 _Vitesse1.writeMED(prim+"_GasVelocity");
2385                                 _Vitesse2.writeMED(prim+"_LiquidVelocity");
2386                                 break;
2387                         case CSV :
2388                                 _Vitesse1.writeCSV(prim+"_GasVelocity");
2389                                 _Vitesse2.writeCSV(prim+"_LiquidVelocity");
2390                                 break;
2391                         }
2392                 }
2393                 else{
2394                         switch(_saveFormat)
2395                         {
2396                         case VTK :
2397                                 _Vitesse1.writeVTK(prim+"_GasVelocity",false);
2398                                 _Vitesse2.writeVTK(prim+"_LiquidVelocity",false);
2399                                 break;
2400                         case MED :
2401                                 _Vitesse1.writeMED(prim+"_GasVelocity",false);
2402                                 _Vitesse2.writeMED(prim+"_LiquidVelocity",false);
2403                                 break;
2404                         case CSV :
2405                                 _Vitesse1.writeCSV(prim+"_GasVelocity");
2406                                 _Vitesse2.writeCSV(prim+"_LiquidVelocity");
2407                                 break;
2408                         }
2409                 }
2410         }
2411
2412         if (_restartWithNewFileName)
2413                 _restartWithNewFileName=false;
2414 }