4 * Created on: Jan 28, 2015
7 #include "FiveEqsTwoFluid.hxx"
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);
18 FiveEqsTwoFluid::FiveEqsTwoFluid(pressureEstimate pEstimate, int dim){
22 _dragCoeffs=vector<double>(2,0);
24 //Ne pas utiliser la loi de Stephane Dellacherie mais la stiffened gas standard
25 if (pEstimate==around1bar300K)//EOS at 1 bar and 373K
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
35 else//EOS at 155 bars and 618K
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
45 _latentHeat=_hsatv-_hsatl;
49 void FiveEqsTwoFluid::initialize()
51 cout<<"Initialising the five equation two fluid model"<<endl;
52 *_runLogFile<<"Initialising the five equation two fluid model"<<endl;
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");
57 _Uroe = new double[_nVar+1];
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
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++)
66 _gravite[i+1]=_GravityField3d[i];
67 _gravite[i+1 +_Ndim+1]=_GravityField3d[i];
69 _GravityImplicitationMatrix = new PetscScalar[_nVar*_nVar];
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
76 if(_entropicCorrection)
77 _entropicShift=vector<double>(_nVar);
79 ProblemFluid::initialize();
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)
87 for(int k=1; k<_nVar; k++)
88 _idm[k] = _idm[k-1] + 1;
89 VecGetValues(_conservativeVars, _nVar, _idm, _Ui);
92 for(int k=1; k<_nVar; k++)
93 _idm[k] = _idm[k-1] + 1;
95 VecGetValues(_Uext, _nVar, _idm, _Uj);
97 VecGetValues(_conservativeVars, _nVar, _idm, _Uj);
98 if(_verbose && _nbTimeStep%_freqSave ==0)
100 cout<<"Convection Left state cell " << i<< ": "<<endl;
101 for(int k =0; k<_nVar; k++)
103 cout<<"Convection Right state cell " << j<< ": "<<endl;
104 for(int k =0; k<_nVar; k++)
108 if(_Ui[0]<-(_precision) || _Uj[0]<-(_precision) || _Ui[_Ndim+1]<-(_precision) || _Uj[_Ndim+1]<-(_precision))
110 cout<<"Warning: masse partielle negative!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!"<<endl;
111 cout<< "valeurs a gauche: "<<_Ui[0]<<", "<<_Ui[_Ndim+1]<<", valeurs a droite: "<<_Uj[0]<<", "<<_Uj[_Ndim+1]<<endl;
112 // throw CdmathException(" Masse partielle negative, arret de calcul");
115 _Ui[0]=max(0.,_Ui[0]);
116 _Uj[0]=max(0.,_Uj[0]);
117 _Ui[_Ndim+1]=max(0.,_Ui[_Ndim+1]);
118 _Uj[_Ndim+1]=max(0.,_Uj[_Ndim+1]);
121 PetscScalar ri1, ri2, rj1, rj2, xi, xj;
122 //get _l and _r the primitive states left and right of the interface
124 for(int k=1; k<_nVar; k++)
125 _idm[k] = _idm[k-1] + 1;
126 VecGetValues(_primitiveVars, _nVar, _idm, _l);
130 //cout<<"_r is border"<<endl;
131 //consToPrim(_Uj, _r);
133 for(int k=1; k<_nVar; k++)
134 _idm[k] = _idm[k-1] + 1;
135 VecGetValues(_Vext, _nVar, _idm, _r);
140 for(int k=1; k<_nVar; k++)
141 _idm[k] = _idm[k-1] + 1;
142 VecGetValues(_primitiveVars, _nVar, _idm, _r);
144 if(_verbose && _nbTimeStep%_freqSave ==0)
147 for(int k=0;k<_nVar; k++)
150 for(int k=0;k<_nVar; k++)
153 // _Uroe[0] = \tilde{\alpha_v} = 1 - \tilde{\alpha_l} (formula of Toumi)
154 if(2-_l[0]-_r[0] > _precision)
155 _Uroe[0] = 1- 2*(1-_l[0])*(1-_r[0])/(2-_l[0]-_r[0]);
157 _Uroe[0] = (_l[0]+_r[0])/2;
159 if(_l[0]+_r[0] > _precision)
160 _Uroe[1] = (_l[1]*_l[0]+_r[1]*_r[0])/(_l[0]+_r[0]);
162 _Uroe[1] = (_l[1]*(1-_l[0])+_r[1]*(1-_r[0]))/(2-_l[0]-_r[0]);
164 ri1 = sqrt(_Ui[0]); ri2 = sqrt(_Ui[_Ndim+1]);
165 rj1 = sqrt(_Uj[0]); rj2 = sqrt(_Uj[_Ndim+1]);
166 for(int k=0;k<_Ndim;k++)
170 if(ri1>_precision && rj1>_precision)
171 _Uroe[2+k] = (xi/ri1 + xj/rj1)/(ri1 + rj1);
172 else if(ri1<_precision && rj1>_precision)
173 _Uroe[2+k] = xj/_Uj[0];
174 else if(ri1>_precision && rj1<_precision)
175 _Uroe[2+k] = xi/_Ui[0];
177 _Uroe[2+k] =(_Ui[k+1+_Ndim+1]/ri2 + _Uj[k+1+_Ndim+1]/rj2)/(ri2 + rj2);
179 xi = _Ui[k+1+_Ndim+1];
180 xj = _Uj[k+1+_Ndim+1];
181 if(ri2>_precision && rj2>_precision)
182 _Uroe[1+k+_Ndim+1] = (xi/ri2 + xj/rj2)/(ri2 + rj2);
183 else if(ri2<_precision && rj2>_precision)
184 _Uroe[1+k+_Ndim+1] = xj/_Uj[_Ndim+1];
185 else if(ri2>_precision && rj2<_precision)
186 _Uroe[1+k+_Ndim+1] = xi/_Ui[_Ndim+1];
188 _Uroe[1+k+_Ndim+1] = (xi/ri1 + xj/rj1)/(ri1 + rj1);
190 _Uroe[_nVar-1]=.5*(_l[_nVar-1]+_r[_nVar-1]);
192 //Fin du remplissage dans la fonction convectionMatrices
194 if(_verbose && _nbTimeStep%_freqSave ==0)
196 cout<<"Etat de Roe calcule: "<<endl;
197 for(int k=0;k<_nVar; k++)
198 cout<< _Uroe[k]<<endl;
202 void FiveEqsTwoFluid::diffusionStateAndMatrices(const long &i,const long &j, const bool &IsBord){
203 //sortie: matrices et etat Diffusion (alpha1 rho1, q1, alpha2 rho2, q2,T)
205 for(int k=1; k<_nVar; k++)
206 _idm[k] = _idm[k-1] + 1;
208 VecGetValues(_conservativeVars, _nVar, _idm, _Ui);
210 for(int k=1; k<_nVar; k++)
211 _idm[k] = _idm[k-1] + 1;
214 VecGetValues(_Uextdiff, _nVar, _idm, _Uj);
216 VecGetValues(_conservativeVars, _nVar, _idm, _Uj);
218 for(int k=0; k<_nVar; k++)
219 _Udiff[k] = (_Ui[k]+_Uj[k])/2;
221 for (int i = 0; i<_Ndim;i++){
222 q1_2+=_Udiff[ i+1]*_Udiff[ i+1];
223 q2_2+=_Udiff[1+_Ndim+i+1]*_Udiff[1+_Ndim+i+1];
225 consToPrim(_Udiff,_phi);
226 _Udiff[_nVar-1]=_phi[_nVar-1];
227 double alpha=_phi[0];
228 double Tm=_phi[_nVar-1];
229 double mu1 = _fluides[0]->getViscosity(Tm);
230 double mu2 = _fluides[1]->getViscosity(Tm);
231 double lambda = alpha*_fluides[0]->getConductivity(Tm)+(1-alpha)*_fluides[1]->getConductivity(Tm);
232 double Cv1= _fluides[0]->constante("Cv");
233 double Cv2= _fluides[1]->constante("Cv");
235 if(_timeScheme==Implicit)
237 for(int i=0; i<_nVar*_nVar;i++)
239 for(int idim=1;idim<_Ndim+1;idim++)
241 if(alpha>_precision){
242 _Diffusion[idim*_nVar] = alpha* mu1*_Udiff[idim]/(_Udiff[0]*_Udiff[0]);
243 _Diffusion[idim*_nVar+idim] = -alpha* mu1/_Udiff[0];
245 if(1-alpha>_precision){
246 _Diffusion[(idim+_Ndim+1)*_nVar] = (1-alpha)* mu2*_Udiff[idim+_Ndim+1]/(_Udiff[_Ndim+1]*_Udiff[_Ndim+1]);
247 _Diffusion[(idim+_Ndim+1)*_nVar+idim+_Ndim+1] = -(1-alpha)* mu2/_Udiff[_Ndim+1];
250 /*//Should correct the formula before using
251 int i = (_nVar-1)*_nVar;
252 _Diffusion[i]=lambda*(Tm/_Udiff[0]-q1_2/(2*Cv1*_Udiff[0]*_Udiff[0]*_Udiff[0]));
253 _Diffusion[i+1+_Ndim]=lambda*(Tm/_Udiff[1+_Ndim]-q2_2/(2*Cv2*_Udiff[1+_Ndim]*_Udiff[1+_Ndim]*_Udiff[1+_Ndim]));
254 for(int k=1;k<1+_Ndim;k++)
256 _Diffusion[i+k]= lambda*_Udiff[k]/(_Udiff[0]*_Udiff[0]*Cv1);
257 _Diffusion[i+k+1+_Ndim]= lambda*_Udiff[k+1+_Ndim]/(_Udiff[1+_Ndim]*_Udiff[+1+_Ndim]*Cv2);
259 _Diffusion[_nVar*_nVar-1]=-lambda/(_Udiff[0]*Cv1+_Udiff[1+_Ndim]*Cv2);
264 void FiveEqsTwoFluid::sourceVector(PetscScalar * Si,PetscScalar * Ui,PetscScalar * Vi, int i)
266 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];
267 double norm_ur=0,norm_u1sq=0,norm_u2sq=0, Gamma;
269 for(int k=0; k<_Ndim; k++){
270 norm_ur+=(Vi[2+k]-Vi[2+k+_Ndim])*(Vi[2+k]-Vi[2+k+_Ndim]);
271 norm_u1sq+=Vi[2+k]*Vi[2+k];
272 norm_u2sq+=Vi[2+k+_Ndim]*Vi[2+k+_Ndim];
274 norm_ur=sqrt(norm_ur);
275 double h=(rhoE-0.5*m1*norm_u1sq-0.5*m2*norm_u2sq+P)/rho;
277 for(int k=0; k<_Ndim; k++)
278 u_int[k] = 0.5*(Vi[2+k]+Vi[2+k+_Ndim]);
279 // u_int[k] = Vi[0]*Vi[2+k+_Ndim] + (1-Vi[0])*Vi[2+k];
280 if(i>=0 && T>_Tsat && alpha<1-_precision)//if(i>=0 && _hsatv>h && h>_hsatl && alpha<1-_precision)
281 Gamma=_heatPowerField(i)/_latentHeat;
282 else//boundary cell, no phase change
285 for(int k=1; k<_Ndim+1; k++)
287 Si[k] =_gravite[k]*m1-_dragCoeffs[0]*norm_ur*(Vi[1+k]-Vi[1+k+_Ndim]) + Gamma*u_int[k-1];//interfacial velocity= ul
288 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 if(true){//heated boiling
294 else if (P<_Psat && alpha<1-_precision){//flash boiling
295 Si[0]=-_dHsatl_over_dp*_dp_over_dt(i)/_latentHeat;
296 Si[1+_Ndim]=_dHsatl_over_dp*_dp_over_dt(i)/_latentHeat;
303 Si[_nVar-1]=_heatPowerField(i);
304 else//boundary cell, no heating
306 for(int k=0; k<_Ndim; k++)
307 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 if(_timeScheme==Implicit)
311 for(int i=0; i<_nVar*_nVar;i++)
312 _GravityImplicitationMatrix[i] = 0;
313 for(int i=0; i<_nVar/2;i++)
314 _GravityImplicitationMatrix[i*_nVar]=-_gravite[i];
315 for(int i=_nVar/2; i<_nVar;i++)
316 _GravityImplicitationMatrix[i*_nVar+_nVar/2]=-_gravite[i];
319 if(_verbose && _nbTimeStep%_freqSave ==0)
321 cout<<"FiveEqsTwoFluid::sourceVector"<<endl;
323 for(int k=0;k<_nVar;k++)
327 for(int k=0;k<_nVar;k++)
331 for(int k=0;k<_nVar;k++)
334 if(_timeScheme==Implicit)
335 displayMatrix(_GravityImplicitationMatrix, _nVar, "Gravity implicitation matrix");
339 void FiveEqsTwoFluid::pressureLossVector(PetscScalar * pressureLoss, double K, PetscScalar * Ui, PetscScalar * Vi, PetscScalar * Uj, PetscScalar * Vj)
341 double norm_u1=0, u1_n=0, norm_u2=0, u2_n=0, m1, m2;
342 for(int i=0;i<_Ndim;i++){
343 u1_n += _Uroe[1+i] *_vec_normal[i];
344 u2_n += _Uroe[1+i+_Ndim]*_vec_normal[i];
347 pressureLoss[1+_Ndim]=0;
349 for(int i=0;i<_Ndim;i++)
350 norm_u1 += Vi[1+i]*Vi[1+i];
351 norm_u1=sqrt(norm_u1);
353 for(int i=0;i<_Ndim;i++)
354 pressureLoss[1+i]=-K*m1*norm_u1*Vi[1+i];
357 for(int i=0;i<_Ndim;i++)
358 norm_u1 += Vj[1+i]*Vj[1+i];
359 norm_u1=sqrt(norm_u1);
361 for(int i=0;i<_Ndim;i++)
362 pressureLoss[1+i]=-K*m1*norm_u1*Vj[1+i];
365 for(int i=0;i<_Ndim;i++)
366 norm_u2 += Vi[2+i+_Ndim]*Vi[2+i+_Ndim];
367 norm_u2=sqrt(norm_u2);
369 for(int i=0;i<_Ndim;i++)
370 pressureLoss[2+i+_Ndim]=-K*m2*norm_u2*Vi[2+i+_Ndim];
373 for(int i=0;i<_Ndim;i++)
374 norm_u2 += Vj[2+i+_Ndim]*Vj[2+i+_Ndim];
375 norm_u2=sqrt(norm_u2);
377 for(int i=0;i<_Ndim;i++)
378 pressureLoss[2+i+_Ndim]=-K*m2*norm_u2*Vj[2+i+_Ndim];
380 pressureLoss[_nVar-1]=-K*(m1*norm_u1*norm_u1*norm_u1+m2*norm_u2*norm_u2*norm_u2);
382 if(_verbose && _nbTimeStep%_freqSave ==0)
384 cout<<"FiveEqsTwoFluid::pressureLossVector K= "<<K<<endl;
386 for(int k=0;k<_nVar;k++)
390 for(int k=0;k<_nVar;k++)
394 for(int k=0;k<_nVar;k++)
398 for(int k=0;k<_nVar;k++)
401 cout<<"pressureLoss="<<endl;
402 for(int k=0;k<_nVar;k++)
403 cout<<pressureLoss[k]<<", ";
408 void FiveEqsTwoFluid::porosityGradientSourceVector()
410 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];
411 double pij1, pij2, alphaij=_Uroe[0];
412 for(int i=0;i<_Ndim;i++) {
413 u1_ni += _Vi[2+i]*_vec_normal[i];
414 u2_ni += _Vi[2+_Ndim+i]*_vec_normal[i];
415 u1_nj += _Vj[2+i]*_vec_normal[i];
416 u2_nj += _Vj[2+_Ndim+i]*_vec_normal[i];
418 _porosityGradientSourceVector[0]=0;
419 _porosityGradientSourceVector[1+_Ndim]=0;
420 rho1i = _fluides[0]->getDensity(pi, Ti);
421 rho2i = _fluides[1]->getDensity(pi, Ti);
422 rho1j = _fluides[0]->getDensity(pj, Tj);
423 rho2j = _fluides[1]->getDensity(pj, Tj);
424 pij1=(pi+pj)/2+rho1i*rho1j/2/(rho1i+rho1j)*(u1_ni-u1_nj)*(u1_ni-u1_nj);
425 pij2=(pi+pj)/2+rho2i*rho2j/2/(rho2i+rho2j)*(u2_ni-u2_nj)*(u2_ni-u2_nj);
426 for(int i=0;i<_Ndim;i++){
427 _porosityGradientSourceVector[1+i] =alphaij*pij1*(_porosityi-_porosityj)*2/(1/_inv_dxi+1/_inv_dxj);
428 _porosityGradientSourceVector[2+_Ndim+i]=alphaij*pij2*(_porosityi-_porosityj)*2/(1/_inv_dxi+1/_inv_dxj);
430 _porosityGradientSourceVector[_nVar-1]=0;
433 double FiveEqsTwoFluid::intPressDef(double alpha, double u_r2, double rho1, double rho2, double Temperature)
435 return _intPressCoeff*alpha*(1-alpha)*rho1*rho2*u_r2/( alpha*rho2+(1-alpha)*rho1);
436 +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
437 *(alpha*alpha*rho2-(1-alpha)*(1-alpha)*rho1)
438 *(alpha*alpha*rho2*rho2/(_fluides[0]->vitesseSonTemperature(Temperature,rho1)*_fluides[0]->vitesseSonTemperature(Temperature,rho1))
439 -(1-alpha)*(1-alpha)*rho1*rho1/(_fluides[1]->vitesseSonTemperature(Temperature,rho2)*_fluides[1]->vitesseSonTemperature(Temperature,rho2)));
442 Vector FiveEqsTwoFluid::convectionFlux(Vector U,Vector V, Vector normale, double porosity){
450 double phim1=U(0);//phi alpha1 rho1
451 double phim2=U(1+_Ndim);//phi alpha2 rho2
452 Vector phiq1(_Ndim),phiq2(_Ndim);//phi alpha1 rho1 u1, phi alpha2 rho2 u2
453 for(int i=0;i<_Ndim;i++){
455 phiq2(i)=U(2+_Ndim+i);
458 double pression=V(1);
459 Vector vitesse1(_Ndim),vitesse2(_Ndim);
460 for(int i=0;i<_Ndim;i++){
462 vitesse2(i)=V(2+_Ndim+i);
464 double Temperature= V(_nVar-1);
466 double vitesse1n=vitesse1*normale;
467 double vitesse2n=vitesse2*normale;
468 double rho1=_fluides[0]->getDensity(pression,Temperature);
469 double rho2=_fluides[1]->getDensity(pression,Temperature);
470 double e1_int=_fluides[0]->getInternalEnergy(Temperature,rho1);
471 double e2_int=_fluides[1]->getInternalEnergy(Temperature,rho2);
473 double alpha_roe = _Uroe[0];//Toumi formula
474 // interfacial pressure term (hyperbolic correction)
475 double dpi = _Uroe[_nVar];
478 F(0)=phim1*vitesse1n;
479 F(1+_Ndim)=phim2*vitesse2n;
480 for(int i=0;i<_Ndim;i++){
481 F(1+i)=phim1*vitesse1n*vitesse1(i)+(alpha_roe*pression+dpi*alpha)*porosity*normale(i);
482 F(2+_Ndim+i)=phim2*vitesse2n*vitesse2(i)+((1-alpha_roe)*pression+dpi*(1-alpha))*normale(i)*porosity;
484 F(_nVar-1)=phim1*(e1_int+0.5*vitesse1*vitesse1+pression/rho1)*vitesse1n+phim2*(e2_int+0.5*vitesse2*vitesse2+pression/rho2)*vitesse2n;
487 cout<<"Flux F(U,V)"<<endl;
494 void FiveEqsTwoFluid::convectionJacobianMatrix(double *V, double *n)
496 complex< double > tmp;
497 // enter : V(nVar) : primitive variables
501 double Tm = V[_nVar-1];
502 double rho1 = _fluides[0]->getDensity(p, Tm);
503 double rho2 = _fluides[1]->getDensity(p, Tm);
505 for (int idim=0; idim<_Ndim; idim++){
506 ur_2 += (V[2+idim]-V[2+idim+_Ndim])*(V[2+idim]-V[2+idim+_Ndim]);
508 // interfacial pressure term (hyperbolic correction)
509 double dpi1 = intPressDef(alp,ur_2, rho1, rho2,Tm);
512 /********Prepare the parameters to compute the Jacobian Matrix********/
513 /**** coefficients a, b, c ****/
514 double inv_a1_2,inv_a2_2,b1,c1,a2,b2,c2;
516 e1 = _fluides[0]->getInternalEnergy(V[_nVar-1],rho1);// primitive variable _l[_nVar-1]=Tm
517 e2 = _fluides[1]->getInternalEnergy(V[_nVar-1],rho2);
518 inv_a1_2 = static_cast<StiffenedGas*>(_fluides[0])->getDiffDensPress(e1);
519 inv_a2_2 = static_cast<StiffenedGas*>(_fluides[1])->getDiffDensPress(e2);
520 //double getJumpDensInternalEnergy(const double p_l,const double p_r,const double e_l,const double e_r);
521 b1 = static_cast<StiffenedGas*>(_fluides[0])->getDiffDensInternalEnergy(p,e1);
522 b2 = static_cast<StiffenedGas*>(_fluides[1])->getDiffDensInternalEnergy(p,e2);
523 //double getJumpInternalEnergyTemperature();
524 c1 = static_cast<StiffenedGas*>(_fluides[0])->getDiffInternalEnergyTemperature();
525 c2 = static_cast<StiffenedGas*>(_fluides[1])->getDiffInternalEnergyTemperature();
526 /**** coefficients eta, varrho_2 ****/
527 double eta[_Ndim], varrho_2;
528 // prefix m is arithmetic mean
530 double u1[_Ndim],u2[_Ndim], alp_u1[_Ndim],alp_u2[_Ndim];
533 varrho_2 =1/((alp*rho2)*inv_a1_2+((1-alp)*rho1)*inv_a2_2);
535 for (int idim=0; idim<_Ndim; idim++){
536 u1[idim] = V[idim+2];
537 u2[idim] = V[_Ndim+idim+2];
538 alp_u1[idim] = alp*u1[idim];
539 alp_u2[idim] = (1-alp)*u2[idim];
540 eta_n += (alp_u1[idim]*(1-p/rho1*inv_a1_2)+alp_u2[idim]*(1-p/rho2*inv_a2_2))*n[idim];
542 double eta_varrho_2n = eta_n*varrho_2;
543 /**** compute jump of Delta T, Delta e1, Delta e2 ****/
544 double inv_cm = 1/(c1*m1+c2*m2);
545 double DeltaT [_nVar], Delta_e1[_nVar], Delta_e2[_nVar];
548 DeltaT[1+_Ndim] =-e2;
549 DeltaT[_nVar-1] = 1 ;
550 for (int idim=0; idim<_Ndim; idim++){
552 DeltaT[1+_Ndim+idim+1] = 0;
554 for (int idim=0; idim<_Ndim; idim++){
556 DeltaT[0] += 0.5*u1[idim]*u1[idim];
558 DeltaT[_Ndim+1] += 0.5*u2[idim]*u2[idim];
560 DeltaT[idim+1] += - u1[idim];//*n[idim]
561 // wrt momentum liquid
562 DeltaT[_Ndim+idim+2] += - u2[idim];//*n[idim]
564 // finalize DeltaT, Delta_e1 and Delta_e2
565 for (int i =0; i< _nVar; ++i){
566 DeltaT[i] = inv_cm*DeltaT[i];
567 Delta_e1[i] = c1*DeltaT[i];
568 Delta_e2[i] = c2*DeltaT[i];
570 /**** compute differential flux (energy equation) A5 ****/
574 for (int i=0; i<_nVar; i++){
577 dF5[0] = eta_varrho_2n*rho2; // mass gas
578 dF5[_Ndim+1] = eta_varrho_2n*rho1; // mass liquid
579 for (int idim=0; idim<_Ndim; idim++){
581 dF5[idim+1]= (e1+p/rho1)*n[idim];
583 dF5[_Ndim+idim+2]=(e2+p/rho2)*n[idim];
585 // assign the value of A5 (last row of the Roe matrix)
586 for (int idim=0; idim<_Ndim; idim++){
587 for (int jdim=0; jdim<_Ndim;jdim++){
588 dF5[0] -= u1[idim]*u1[jdim]*u1[jdim]*n[idim];// -uin * ujn^2
589 dF5[_Ndim+1] -= u2[idim]*u2[jdim]*u2[jdim]*n[idim];
591 dF5[idim+1] += u1[idim]*u1[jdim]*n[jdim]+0.5*(u1[jdim]*u1[jdim])*n[idim];
593 dF5[_Ndim+idim+2] += u2[idim]*u2[jdim]*n[jdim]+0.5*(u2[jdim]*u2[jdim])*n[idim];
597 double coef_e1, coef_e2;
598 coef_e1 = - eta_varrho_2n*alp*rho2*b1;
599 coef_e2 = - eta_varrho_2n*(1-alp)*rho1*b2;
600 for (int idim=0; idim<_Ndim; idim++){
601 coef_e1 += (alp*rho1 - alp*p*b1/rho1)*u1[idim]*n[idim];
602 coef_e2 += ((1-alp)*rho2 - (1-alp)*p*b2/rho2)*u2[idim]*n[idim];
604 for (int i =0; i< _nVar; i++){
605 dF5[i] += coef_e1*Delta_e1[i] + coef_e2*Delta_e2[i];
607 /******** Construction de la matrice J *********/
609 for(int i=0; i<_nVar*_nVar;i++)
612 for(int idim=0; idim<_Ndim;idim++)
614 _JacoMat[1+idim]=n[idim];
615 _JacoMat[1+idim+_Ndim+1]=0.;
616 _JacoMat[(_Ndim+1)*_nVar+1+idim]=0.;
617 _JacoMat[(_Ndim+1)*_nVar+1+idim+_Ndim+1]=n[idim];
619 // Roe Matrix new version
620 for(int idim=0; idim<_Ndim;idim++)
621 for (int jdim=0; jdim<_Ndim;jdim++){
622 // momentum gas (neglect delta alpha and delta P)
623 _JacoMat[ (1+idim)*_nVar] += -u1[idim]*u1[jdim]*n[jdim];
624 _JacoMat[(1+idim)*_nVar+jdim+1] += u1[idim]*n[jdim];
625 _JacoMat[(1+idim)*_nVar+idim+1] += u1[jdim]*n[jdim];
626 // momentum liquid (neglect delta alpha and delta P)
627 _JacoMat[(2+_Ndim+idim)*_nVar+_Ndim+1] += -u2[idim]*u2[jdim]*n[jdim];
628 _JacoMat[(2+_Ndim+idim)*_nVar+_Ndim+1+jdim+1] += u2[idim]*n[jdim];
629 _JacoMat[(2+_Ndim+idim)*_nVar+_Ndim+1+idim+1] += u2[jdim]*n[jdim];
631 // update \Delta alpha
633 * (alpha *rho2*varrho_2+dpi1*(1-alpha)*inv_a2_2*varrho_2)*n[idim]
635 for (int idim=0; idim<_Ndim; idim++){
636 _JacoMat[ (1+idim)*_nVar] += dpi1*varrho_2*(1-alp)*inv_a2_2*n[idim];
637 _JacoMat[ (1+idim)*_nVar+_Ndim+1] += -dpi1*varrho_2*alp*inv_a1_2*n[idim];
638 _JacoMat[(2+_Ndim+idim)*_nVar] += - dpi2*varrho_2*(1-alp)*inv_a2_2*n[idim];
639 _JacoMat[(2+_Ndim+idim)*_nVar+_Ndim+1] += dpi2*varrho_2*alp*inv_a1_2*n[idim];
640 for (int i=0; i<_nVar; i++){
641 _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];
642 _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];
646 for (int idim=0; idim<_Ndim; idim++){
647 _JacoMat[ (1+idim)*_nVar] += alp*varrho_2*rho2*n[idim];
648 _JacoMat[ (1+idim)*_nVar+_Ndim+1] +=alp* varrho_2*rho1*n[idim];
649 _JacoMat[(2+_Ndim+idim)*_nVar] += (1-alp)*varrho_2*rho2*n[idim];
650 _JacoMat[(2+_Ndim+idim)*_nVar+_Ndim+1] += (1-alp)* varrho_2*rho1*n[idim];
651 for (int i=0; i<_nVar; i++){
652 _JacoMat[ (1+idim)*_nVar+i]+=alp*varrho_2*(-alp*rho2*b1*Delta_e1[i] -(1-alp)*rho1*b2*Delta_e2[i])*n[idim];
653 _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];
656 // last row (total energy)
657 for (int i=0; i<_nVar; i++){
658 _JacoMat[(2*_Ndim+2)*_nVar +i] = dF5[i];
662 void FiveEqsTwoFluid::convectionMatrices()
664 //entree: URoe = alpha, p, u1, u2, T + ajout dpi
665 //sortie: matrices Roe+ et Roe- +Roe si schéma centre
667 if(_timeScheme==Implicit && _usePrimitiveVarsInNewton)
668 throw CdmathException("Implicitation with primitive variables not yet available for FiveEqsTwoFluid model");
671 complex< double > tmp;
672 double u_r2 = 0, u1_n=0, u2_n=0;
673 // u1_n = u1.n;u2_n = u2.n (scalar product)
674 for(int i=0;i<_Ndim;i++)
676 //u_r2 += (_Uroe[2+i]-_Uroe[1+i+1+_Ndim])*(_Uroe[2+i]-_Uroe[1+i+1+_Ndim]);
677 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
678 u1_n += _Uroe[2+i]*_vec_normal[i];
679 u2_n += _Uroe[1+i+1+_Ndim]*_vec_normal[i];
682 //double alpha = (_l[0]+_r[0])*0.5;//Kieu formula
683 double alpha = _Uroe[0];//Toumi formula
684 //double p = _Uroe[1];//Toumi pressure
686 /***********Calcul des valeurs propres ********/
688 // ********Prepare the parameters to compute the Roe Matrix******** //
689 // **** coefficients eta, varrho_2 **** //
690 double eta[_Ndim], varrho_2;
691 double rho1_l = _fluides[0]->getDensity(_l[1], _l[_Ndim*2+2]);//(p,T)_Ndim*2+2
692 double rho2_l = _fluides[1]->getDensity(_l[1], _l[_Ndim*2+2]);
693 double rho1_r = _fluides[0]->getDensity(_r[1], _r[_Ndim*2+2]);
694 double rho2_r = _fluides[1]->getDensity(_r[1], _r[_Ndim*2+2]);
695 // **** coefficients a, b, c **** //
696 double inv_a1_2,inv_a2_2,b1,c1,a2,b2,c2;
697 double e1_l,e1_r,e2_l,e2_r;
698 e1_l = _fluides[0]->getInternalEnergy(_l[_nVar-1],rho1_l);// primitive variable _l[_nVar-1]=Tm
699 e2_l = _fluides[1]->getInternalEnergy(_l[_nVar-1],rho2_l);
700 e1_r = _fluides[0]->getInternalEnergy(_r[_nVar-1],rho1_r);
701 e2_r = _fluides[1]->getInternalEnergy(_r[_nVar-1],rho2_r);
702 inv_a1_2 = static_cast<StiffenedGas*>(_fluides[0])->getJumpDensPress(e1_l,e1_r);
703 inv_a2_2 = static_cast<StiffenedGas*>(_fluides[1])->getJumpDensPress(e2_l,e2_r);
704 //double getJumpDensInternalEnergy(const double p_l,const double p_r,const double e_l,const double e_r);
705 b1 = static_cast<StiffenedGas*>(_fluides[0])->getJumpDensInternalEnergy(_l[1],_r[1],e1_l,e1_r);
706 b2 = static_cast<StiffenedGas*>(_fluides[1])->getJumpDensInternalEnergy(_l[1],_r[1],e2_l,e2_r);
707 //double getJumpInternalEnergyTemperature();
708 c1 = static_cast<StiffenedGas*>(_fluides[0])->getJumpInternalEnergyTemperature();
709 c2 = static_cast<StiffenedGas*>(_fluides[1])->getJumpInternalEnergyTemperature();
711 // prefix m is arithmetic mean
712 double m_alp1,m_rho1,m_rho2,m_P,m_e1,m_e2,m_m1,m_m2, eta_n;
713 double m_u1[_Ndim],m_u2[_Ndim], m_alp_u1[_Ndim],m_alp_u2[_Ndim];
714 double u1_l[_Ndim], u2_l[_Ndim],u1_r[_Ndim],u2_r[_Ndim];
715 double u1l_2 = 0, u1r_2 = 0, u2l_2 = 0, u2r_2 = 0;
716 m_alp1 = 0.5*(_l[0]+_r[0]);
717 m_rho1 = 0.5*(rho1_l+rho1_r);
718 m_rho2 = 0.5*(rho2_l+rho2_r);
719 m_P = 0.5*(_l[1]+_r[1]);
720 m_e1 = 0.5*(e1_l+e1_r);
721 m_e2 = 0.5*(e2_l+e2_r);
722 m_m1 = 0.5*(_l[0]*rho1_l+_r[0]*rho1_r);
723 m_m2 = 0.5*((1-_l[0])*rho2_l+(1-_r[0])*rho2_r);
724 varrho_2 =1/((m_alp1*m_rho2)*inv_a1_2+((1-m_alp1)*m_rho1)*inv_a2_2);
727 for (int idim=0; idim<_Ndim; idim++){
728 u1_l[idim] = _l[idim+2];
729 u1_r[idim] = _r[idim+2];
730 u2_l[idim] = _l[_Ndim+idim+2];
731 u2_r[idim] = _r[_Ndim+idim+2];
732 m_u1[idim] = 0.5*(u1_l[idim] + u1_r[idim]);
733 m_u2[idim] = 0.5*(u2_l[idim] + u2_r[idim]);
734 m_alp_u1[idim] = 0.5*(_l[0]*u1_l[idim]+_r[0]*u1_r[idim]);
735 m_alp_u2[idim] = 0.5*((1-_l[0])*u2_l[idim]+(1-_r[0])*u2_r[idim]);
736 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];
739 double eta_varrho_2n = eta_n*varrho_2;
740 // **** compute jump of Delta T, Delta e1, Delta e2 **** //
741 for (int idim=0; idim<_Ndim; idim++){
742 u1l_2 += u1_l[idim]*u1_l[idim];
743 u1r_2 += u1_r[idim]*u1_r[idim];
744 u2l_2 += u2_l[idim]*u2_l[idim];
745 u2r_2 += u2_r[idim]*u2_r[idim];
747 double inv_m_cm = 1/(c1*m_m1+c2*m_m2);
748 double DeltaT [_nVar], Delta_e1[_nVar], Delta_e2[_nVar];
750 for (int i=0; i<_nVar; i++){
754 DeltaT[1+_Ndim] += -m_e2;
755 DeltaT[_nVar-1] += 1 ;
756 for (int idim=0; idim<_Ndim; idim++){
758 DeltaT[0] += 0.5*_l[idim+2] *_r[idim+2];//0.5*\tilde{u_g}^2
760 DeltaT[_Ndim+1] += 0.5*_l[_Ndim+idim+2] *_r[_Ndim+idim+2];
762 DeltaT[idim+1] += - m_u1[idim];
763 // wrt momentum liquid
764 DeltaT[_Ndim+idim+2] += - m_u2[idim];
767 // finalize DeltaT, Delta_e1 and Delta_e2
768 for (int i =0; i< _nVar; ++i){
769 DeltaT[i] = inv_m_cm*DeltaT[i];
770 Delta_e1[i] = c1*DeltaT[i];
771 Delta_e2[i] = c2*DeltaT[i];
774 // *** compute jump flux (energy equation) A5 *** //
778 for (int i=0; i<_nVar; i++){
781 A5[0] = eta_varrho_2n*m_rho2; // mass gas
782 A5[_Ndim+1] = eta_varrho_2n*m_rho1; // mass liquid
783 for (int idim=0; idim<_Ndim; idim++){
785 A5[idim+1] = (m_e1+m_P/m_rho1)*_vec_normal[idim];
787 A5[_Ndim+idim+2] = (m_e2+m_P/m_rho2)*_vec_normal[idim];
789 // assign the value of A5 (last row of the Roe matrix)
790 for (int idim=0; idim<_Ndim; idim++){
791 for (int jdim=0; jdim<_Ndim;jdim++){
792 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)
793 A5[0] -= m_u1[idim]*m_u1[jdim]*m_u1[jdim]*_vec_normal[idim];// -m_uin * m_ujn^2
794 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
795 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)
796 A5[_Ndim+1] -= m_u2[idim]*m_u2[jdim]*m_u2[jdim]*_vec_normal[idim];// -m_uin * m_ujn^2
797 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 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 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]);
806 double coef_e1, coef_e2;
807 coef_e1 = - eta_varrho_2n*m_alp1*m_rho2*b1;
808 coef_e2 = - eta_varrho_2n*(1-m_alp1)*m_rho1*b2;
809 for (int idim=0; idim<_Ndim; idim++){
810 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];
811 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 for (int i =0; i< _nVar; i++){
814 A5[i] += coef_e1*Delta_e1[i] + coef_e2*Delta_e2[i];
816 // ******* Construction de la matrice de Roe ******** //
817 // interfacial pressure correction
818 double T=_Uroe[_nVar-1];
819 double dpi1 = intPressDef(alpha, u_r2, m_rho1,m_rho2,T);
821 //saving dpi value for flux calculation later
825 for(int i=0; i<_nVar*_nVar;i++)
827 // alpha = 0.; dpi1 = 0.; dpi2 = 0.;
828 for(int idim=0; idim<_Ndim;idim++)
830 _Aroe[1+idim]=_vec_normal[idim];
831 _Aroe[1+idim+_Ndim+1]=0;
832 _Aroe[(_Ndim+1)*_nVar+1+idim]=0;
833 _Aroe[(_Ndim+1)*_nVar+1+idim+_Ndim+1]=_vec_normal[idim];
835 // Take into account the convection term in the momentum eqts
836 for(int idim=0; idim<_Ndim;idim++)
837 for (int jdim=0; jdim<_Ndim;jdim++){
838 // momentum gas (neglect delta alpha and delta P)
839 _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];
840 _Aroe[(1+idim)*_nVar+jdim+1] += m_u1[idim]*_vec_normal[jdim];
841 _Aroe[(1+idim)*_nVar+idim+1] += m_u1[jdim]*_vec_normal[jdim];
842 // momentum liquid (neglect delta alpha and delta P)
843 _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];
844 _Aroe[(2+_Ndim+idim)*_nVar+_Ndim+1+jdim+1] += m_u2[idim]*_vec_normal[jdim];
845 _Aroe[(2+_Ndim+idim)*_nVar+_Ndim+1+idim+1] += m_u2[jdim]*_vec_normal[jdim];
847 // update \Delta alpha
848 for (int idim=0; idim<_Ndim; idim++){
849 _Aroe[ (1+idim)*_nVar] += dpi1*varrho_2*(1-m_alp1)*inv_a2_2*_vec_normal[idim];
850 _Aroe[ (1+idim)*_nVar+_Ndim+1] += -dpi1*varrho_2*(m_alp1)*inv_a1_2*_vec_normal[idim];
851 _Aroe[(2+_Ndim+idim)*_nVar] += - dpi2*varrho_2*(1-m_alp1)*inv_a2_2*_vec_normal[idim];
852 _Aroe[(2+_Ndim+idim)*_nVar+_Ndim+1] += dpi2*varrho_2*(m_alp1)*inv_a1_2*_vec_normal[idim];
853 for (int i=0; i<_nVar; i++){
854 _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];
855 _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 for (int idim=0; idim<_Ndim; idim++){
860 _Aroe[ (1+idim)*_nVar] += alpha*varrho_2*m_rho2*_vec_normal[idim];
861 _Aroe[ (1+idim)*_nVar+_Ndim+1] += alpha* varrho_2*m_rho1*_vec_normal[idim];
862 _Aroe[(2+_Ndim+idim)*_nVar] += (1-alpha)*varrho_2*m_rho2*_vec_normal[idim];
863 _Aroe[(2+_Ndim+idim)*_nVar+_Ndim+1] += (1-alpha)* varrho_2*m_rho1*_vec_normal[idim];
864 for (int i=0; i<_nVar; i++){
865 _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];
866 _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];
869 // last row (total energy)
870 for (int i=0; i<_nVar; i++){
871 _Aroe[(2*_Ndim+2)*_nVar +i] += A5[i];
877 int LWORK = 50*_nVar;
878 char jobvl[]="N", jobvr[]="N";
879 double WORK[LWORK], Aroe[_nVar*_nVar],egvaReal[_nVar],egvaImag[_nVar],
880 egVectorL[_nVar*_nVar],egVectorR[_nVar*_nVar];
883 std::vector< std::complex<double> > valeurs_propres_dist;
886 for (int i=0; i<_nVar*_nVar; i++)
889 if (_verbose && _nbTimeStep%_freqSave ==0)
891 cout<<endl<<"Matrice de Roe"<<endl;
892 for(int i=0; i<_nVar;i++)
894 for(int j=0; j<_nVar;j++)
895 cout << _Aroe[i*_nVar+j]<< " , ";
899 /******** Compute the eigenvalues and eigenvectors of Roe Matrix (using lapack)*********/
901 dgeev_(jobvl, jobvr, &_nVar,
902 Aroe,&LDA,egvaReal,egvaImag, egVectorL,
907 cout<<"FiveEqsTwoFluid::convectionMatrices: error dgeev_ : argument "<<-info<<" invalid"<<endl;
908 *_runLogFile<<"FiveEqsTwoFluid::convectionMatrices: error dgeev_ : argument "<<-info<<" invalid"<<endl;
909 throw CdmathException("FiveEqsTwoFluid::convectionMatrices: dgeev_ unsuccessful computation of the eigenvalues ");
913 cout<<"Warning FiveEqsTwoFluid::convectionMatrices: dgeev_ did not compute all the eigenvalues, trying Rusanov scheme "<<endl;
914 cout<<"Converged eigenvalues are ";
915 for(int i=info; i<_nVar; i++)
916 cout<<"("<< egvaReal[i]<<","<< egvaImag[i]<<"), ";
920 for(int i =info; i<_nVar; i++)
921 if (fabs(egvaReal[i])>_maxvploc)
922 _maxvploc=fabs(egvaReal[i]);
926 valeurs_propres_dist=std::vector< std::complex<double> > (1,maxvploc);
930 if (_verbose && _nbTimeStep%_freqSave ==0)
932 for(int i=0; i<_nVar; i++)
933 cout<<" Vp real part " << egvaReal[i]<<", Imaginary part " << egvaImag[i]<<endl;
936 std::vector< std::complex<double> > valeurs_propres(_nVar);
938 bool complexEigenvalues = false;
939 for(int j=0; j<_nVar; j++){
940 if (max(_l[0],_r[0])<_precision && abs(egvaImag[j])<_precision )// Kieu test Monophase
943 if (egvaImag[j] >_precision){// Kieu
944 complexEigenvalues = true;
946 if (abs(_l[0]-_r[0])<_precision*_precision && fabs(egvaImag[j])<_precision)// Kieu interfacial pressure
948 valeurs_propres[j] = complex<double>(egvaReal[j],egvaImag[j]);
951 taille_vp =Poly.new_tri_selectif(valeurs_propres,valeurs_propres.size(),_precision);
953 valeurs_propres_dist=vector< complex< double > >(taille_vp);
954 for( int i=0 ; i<taille_vp ; i++)
955 valeurs_propres_dist[i] = valeurs_propres[i];
956 if(_verbose && _nbTimeStep%_freqSave ==0)
958 cout<<" Vp apres tri " << valeurs_propres_dist.size()<<endl;
959 for(int ct =0; ct<taille_vp; ct++)
960 cout<< "("<<valeurs_propres_dist[ct].real()<< ", " <<valeurs_propres_dist[ct].imag() <<") ";
964 for(int i =0; i<taille_vp; i++){
965 if (fabs(valeurs_propres_dist[i].real())>maxvploc)
966 maxvploc=fabs(valeurs_propres_dist[i].real());
971 int existVpCplx = 0,pos_conj;
973 for (int ct=0; ct<taille_vp; ct++) {
974 vp_imag_iter = valeurs_propres_dist[ct].imag();
975 if ( fabs(vp_imag_iter) > 100*_precision ) {
977 if ( _part_imag_max < fabs(vp_imag_iter))
978 _part_imag_max = fabs(vp_imag_iter);
979 //On cherhe le conjugue
981 while(pos_conj<taille_vp && fabs(valeurs_propres_dist[pos_conj].imag()+vp_imag_iter)>_precision)
983 if(pos_conj!=ct+1 && pos_conj<taille_vp )
985 tmp=valeurs_propres_dist[ct+1];
986 valeurs_propres_dist[ct+1]=valeurs_propres_dist[pos_conj];
987 valeurs_propres_dist[pos_conj] = tmp;
995 /******* Construction des matrices de decentrement *******/
996 if(_spaceScheme == centered )
998 if(_entropicCorrection)
999 throw CdmathException("FiveEqsTwoFluid::convectionMatrices: entropic scheme not available for centered scheme");
1000 for(int i=0; i<_nVar*_nVar;i++)
1002 // if(alpha<_precision || alpha>1-_precision)//rusanov
1003 // for(int i=0; i<_nVar;i++)
1004 // _absAroe[i*_nVar+i]=maxvploc;
1006 if( _spaceScheme ==staggered){//To do: study entropic correction for staggered
1007 if(_entropicCorrection)//To do: study entropic correction for staggered
1008 throw CdmathException("FiveEqsTwoFluid::convectionMatrices: entropic scheme not yet available for staggered scheme");
1009 /******** Construction de la matrice de decentrement staggered *********/
1010 /***** Compute eta_n **************/
1012 for (int idim=0; idim<_Ndim; idim++){
1013 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];
1015 double eta_varrho_2n = eta_n*varrho_2;
1016 /**** compute jump flux (energy equation) A5 ****/
1020 for (int i=0; i<_nVar; i++){
1023 A5[0] = eta_varrho_2n*m_rho2; // mass gas
1024 A5[_Ndim+1] = eta_varrho_2n*m_rho1; // mass liquid
1025 // assign the value of A5 (last row of the Roe matrix)
1026 for (int idim=0; idim<_Ndim; idim++){
1027 for (int jdim=0; jdim<_Ndim;jdim++){
1028 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)
1029 A5[0] -= m_u1[idim]*m_u1[jdim]*m_u1[jdim]*_vec_normal[idim];// -m_uin * m_ujn^2
1030 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
1031 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)
1032 A5[_Ndim+1] -= m_u2[idim]*m_u2[jdim]*m_u2[jdim]*_vec_normal[idim];// -m_uin * m_ujn^2
1033 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 double coef_e1, coef_e2;
1038 coef_e1 = - eta_varrho_2n*m_alp1*m_rho2*b1;
1039 coef_e2 = - eta_varrho_2n*(1-m_alp1)*m_rho1*b2;
1040 for (int idim=0; idim<_Ndim; idim++){
1041 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];
1042 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];
1044 for (int i =0; i< _nVar; i++){
1045 A5[i] += coef_e1*Delta_e1[i] + coef_e2*Delta_e2[i];
1047 /** Début remplissage matrice décentrement staggered **/
1049 for(int i=0; i<_nVar*_nVar;i++)
1053 for(int idim=0; idim<_Ndim;idim++)
1055 _absAroe[1+idim]=_vec_normal[idim];
1056 _absAroe[1+idim+_Ndim+1]=0;
1057 _absAroe[(_Ndim+1)*_nVar+1+idim]=0;
1058 _absAroe[(_Ndim+1)*_nVar+1+idim+_Ndim+1]=_vec_normal[idim];
1060 //Contribution of convection (rho u\times u) in the momentum equations
1061 for(int idim=0; idim<_Ndim;idim++)
1062 for (int jdim=0; jdim<_Ndim;jdim++){
1063 // momentum gas (neglect delta alpha and delta P)
1064 _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];
1065 _absAroe[(1+idim)*_nVar+jdim+1] += m_u1[idim]*_vec_normal[jdim];
1066 _absAroe[(1+idim)*_nVar+idim+1] += m_u1[jdim]*_vec_normal[jdim];
1067 // momentum liquid (neglect delta alpha and delta P)
1068 _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];
1069 _absAroe[(2+_Ndim+idim)*_nVar+_Ndim+1+jdim+1] += m_u2[idim]*_vec_normal[jdim];
1070 _absAroe[(2+_Ndim+idim)*_nVar+_Ndim+1+idim+1] += m_u2[jdim]*_vec_normal[jdim];
1072 // contribution of interfacial pressure in momentum equation
1074 * (alpha *rho2*varrho_2+dpi1*(1-alpha)*inv_a2_2*varrho_2)*_vec_normal[idim]
1076 for (int idim=0; idim<_Ndim; idim++){
1077 _absAroe[ (1+idim)*_nVar] += dpi1*varrho_2*(1-m_alp1)*inv_a2_2*_vec_normal[idim];
1078 _absAroe[ (1+idim)*_nVar+_Ndim+1] += -dpi1*varrho_2*(m_alp1)*inv_a1_2*_vec_normal[idim];
1079 _absAroe[(2+_Ndim+idim)*_nVar] += - dpi2*varrho_2*(1-m_alp1)*inv_a2_2*_vec_normal[idim];
1080 _absAroe[(2+_Ndim+idim)*_nVar+_Ndim+1] += dpi2*varrho_2*(m_alp1)*inv_a1_2*_vec_normal[idim];
1081 for (int i=0; i<_nVar; i++){
1082 _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];
1083 _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];
1086 // contribution of pressure gradient in momentum equation
1087 for (int idim=0; idim<_Ndim; idim++){
1088 _absAroe[ (1+idim)*_nVar] -= alpha*varrho_2*m_rho2*_vec_normal[idim];
1089 _absAroe[ (1+idim)*_nVar+_Ndim+1] -=alpha* varrho_2*m_rho1*_vec_normal[idim];
1090 _absAroe[(2+_Ndim+idim)*_nVar] -= (1-alpha)*varrho_2*m_rho2*_vec_normal[idim];
1091 _absAroe[(2+_Ndim+idim)*_nVar+_Ndim+1] -= (1-alpha)* varrho_2*m_rho1*_vec_normal[idim];
1092 for (int i=0; i<_nVar; i++){
1093 _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];
1094 _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];
1097 // last row (total energy) To be changed soon
1098 for (int i=0; i<_nVar; i++){
1099 _Aroe[(2*_Ndim+2)*_nVar +i] = A5[i];
1101 double signu1,signu2;
1115 for(int i=0; i<(1+_Ndim)*_nVar;i++){
1116 _absAroe[i] *= signu1;
1117 _absAroe[i+(1+_Ndim)*_nVar] *= signu2;
1121 if(_spaceScheme ==upwind || _spaceScheme==pressureCorrection || _spaceScheme ==lowMach)//calcul de la valeur absolue
1122 { //on ordonne les deux premieres valeurs
1123 if(valeurs_propres_dist[1].real()<valeurs_propres_dist[0].real())
1125 tmp=valeurs_propres_dist[0];
1126 valeurs_propres_dist[0]=valeurs_propres_dist[1];
1127 valeurs_propres_dist[1]=tmp;
1129 vector< complex< double > > y (taille_vp,0);
1130 for( int i=0 ; i<taille_vp ; i++)
1131 y[i] = Poly.abs_generalise(valeurs_propres_dist[i]);
1133 if(_entropicCorrection)
1135 double entShift0 = 0;
1136 double entShift1 = 0;
1137 entropicShift(_vec_normal,entShift0,entShift1);
1138 //cout<<"entShift0= "<<entShift0<<endl;
1139 for( int i=0 ; i<taille_vp ; i++)
1141 //cout<<"y["<<i<<"]="<<y[i].real()<<endl;
1142 y[i] += max(entShift0,entShift1);
1146 if(_verbose && _nbTimeStep%_freqSave ==0)
1148 cout<<"valeurs propres"<<endl;
1149 for( int i=0 ; i<taille_vp ; i++)
1150 cout<<valeurs_propres_dist[i] <<", "<<endl;
1151 cout<<"valeurs à atteindre"<<endl;
1152 for( int i=0 ; i<taille_vp ; i++)
1153 cout<<y[i] <<", "<<endl;
1155 Poly.abs_par_interp_directe(taille_vp,valeurs_propres_dist, _Aroe, _nVar,_precision, _absAroe,y);
1157 if( _spaceScheme ==pressureCorrection){
1158 for( int i=0 ; i<_Ndim ; i++)
1159 for( int j=0 ; j<_Ndim ; j++){
1160 _absAroe[(1+i)*_nVar+1+j]-=alpha*(valeurs_propres_dist[1].real()-valeurs_propres_dist[0].real())/2*_vec_normal[i]*_vec_normal[j];
1161 _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];
1164 else if( _spaceScheme ==lowMach){
1165 double M=max(fabs(u1_n),fabs(u2_n))/maxvploc;
1166 for( int i=0 ; i<_Ndim ; i++)
1167 for( int j=0 ; j<_Ndim ; j++){
1168 _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];
1169 _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];
1174 //Calcul de la matrice signe pour VFFC, VFRoe et décentrement des termes source
1176 if(_entropicCorrection || _spaceScheme ==pressureCorrection || _spaceScheme ==lowMach){
1177 InvMatriceRoe( valeurs_propres_dist);
1178 Poly.matrixProduct(_absAroe, _nVar, _nVar, _invAroe, _nVar, _nVar, _signAroe);
1180 else if (_spaceScheme==upwind)//upwind sans entropic
1181 SigneMatriceRoe( valeurs_propres_dist);
1182 else if (_spaceScheme==centered)//centre sans entropic
1184 for(int i=0; i<_nVar*_nVar;i++)
1187 else if(_spaceScheme ==staggered )
1189 double signu1,signu2;
1202 for(int i=0; i<_nVar*_nVar;i++)
1204 _signAroe[0] = signu1;
1205 _signAroe[(1+_Ndim)*_nVar +1+_Ndim] = signu2;
1206 for(int i=2; i<_nVar-1;i++){
1207 _signAroe[i*_nVar+i] = -signu1;
1208 _signAroe[(i+1+_Ndim)*_nVar+i+1+_Ndim] = -signu2;
1210 //_signAroe[_nVar*(_nVar-1)+_nVar-1] = signu;
1213 throw CdmathException("FiveEqsTwoFluid::convectionMatrices: well balanced option not treated");
1215 for(int i=0; i<_nVar*_nVar;i++)
1217 _AroeMinus[i] = (_Aroe[i]-_absAroe[i])/2;
1218 _AroePlus[i] = (_Aroe[i]+_absAroe[i])/2;
1220 if(_timeScheme==Implicit && _usePrimitiveVarsInNewton)//Implicitation using primitive variables
1221 for(int i=0; i<_nVar*_nVar;i++)
1222 _AroeMinusImplicit[i] = (_AroeImplicit[i]-_absAroeImplicit[i])/2;
1224 for(int i=0; i<_nVar*_nVar;i++)
1225 _AroeMinusImplicit[i] = _AroeMinus[i];
1227 if(_verbose && _nbTimeStep%_freqSave ==0)
1229 cout<<"Matrice de Roe"<<endl;
1230 for(int i=0; i<_nVar;i++){
1231 for(int j=0; j<_nVar;j++)
1232 cout<<_Aroe[i*_nVar+j]<<" , ";
1235 cout<<"Valeur absolue matrice de Roe"<<endl;
1236 for(int i=0; i<_nVar;i++){
1237 for(int j=0; j<_nVar;j++)
1238 cout<<_absAroe[i*_nVar+j]<<" , ";
1241 cout<<"Signe matrice de Roe"<<endl;
1242 for(int i=0; i<_nVar;i++){
1243 for(int j=0; j<_nVar;j++)
1244 cout<<_signAroe[i*_nVar+j]<<" , ";
1247 cout<<endl<<"Matrice _AroeMinus"<<endl;
1248 for(int i=0; i<_nVar;i++)
1250 for(int j=0; j<_nVar;j++)
1251 cout << _AroeMinus[i*_nVar+j]<< " , ";
1254 cout<<endl<<"Matrice _AroePlus"<<endl;
1255 for(int i=0; i<_nVar;i++)
1257 for(int j=0; j<_nVar;j++)
1258 cout << _AroePlus[i*_nVar+j]<< " , ";
1264 void FiveEqsTwoFluid::jacobianDiff(const int &j, string nameOfGroup)
1267 for(k=0; k<_nVar*_nVar;k++)
1269 if (_limitField[nameOfGroup].bcType==Wall){
1271 for(k=1; k<_nVar; k++)
1272 _idm[k] = _idm[k-1] + 1;
1273 VecGetValues(_primitiveVars, _nVar, _idm, _Vj);
1274 VecGetValues(_conservativeVars, _nVar, _idm, _Uj);
1276 double pression=_Vj[1];//pressure inside
1277 double T=_Vj[_nVar-1];//temperature outside
1278 double rho_v=_fluides[0]->getDensity(pression,T);
1279 double rho_l=_fluides[1]->getDensity(pression,T);
1281 _JcbDiff[(1+_Ndim)*_nVar +1+_Ndim] = 1;
1282 _JcbDiff[_nVar]=_limitField[nameOfGroup].v_x[0];
1283 _JcbDiff[(2+_Ndim)*_nVar +1+_Ndim] =_limitField[nameOfGroup].v_x[1];
1284 double v2_v=_limitField[nameOfGroup].v_x[0]*_limitField[nameOfGroup].v_x[0];
1285 double v2_l=_limitField[nameOfGroup].v_x[1]*_limitField[nameOfGroup].v_x[1];
1288 _JcbDiff[2*_nVar]=_limitField[nameOfGroup].v_y[0];
1289 _JcbDiff[(3+_Ndim)*_nVar +1+_Ndim]= _limitField[nameOfGroup].v_y[1];
1290 v2_v+=_limitField[nameOfGroup].v_y[0]*_limitField[nameOfGroup].v_y[0];
1291 v2_l+=_limitField[nameOfGroup].v_y[1]*_limitField[nameOfGroup].v_y[1];
1294 _JcbDiff[3*_nVar]=_limitField[nameOfGroup].v_z[0];
1295 _JcbDiff[(4+_Ndim)*_nVar +1+_Ndim]= _limitField[nameOfGroup].v_z[1];
1296 v2_v+=_limitField[nameOfGroup].v_z[0]*_limitField[nameOfGroup].v_z[0];
1297 v2_l+=_limitField[nameOfGroup].v_z[1]*_limitField[nameOfGroup].v_z[1];
1300 _JcbDiff[(_nVar-1)*_nVar]= _fluides[0]->getInternalEnergy(_limitField[nameOfGroup].T,rho_v)+0.5*v2_v;
1301 _JcbDiff[(_nVar-1)*_nVar +1+_Ndim]=_fluides[1]->getInternalEnergy(_limitField[nameOfGroup].T,rho_l)+0.5*v2_l;
1303 else if (_limitField[nameOfGroup].bcType==Inlet){
1306 _JcbDiff[(1+_Ndim)*_nVar +1+_Ndim] = 1;
1307 _JcbDiff[_nVar]=_limitField[nameOfGroup].v_x[0];
1308 _JcbDiff[(2+_Ndim)*_nVar +1+_Ndim] =_limitField[nameOfGroup].v_x[1];
1309 double v2_v=_limitField[nameOfGroup].v_x[0]*_limitField[nameOfGroup].v_x[0];
1310 double v2_l=_limitField[nameOfGroup].v_x[1]*_limitField[nameOfGroup].v_x[1];
1313 _JcbDiff[2*_nVar]=_limitField[nameOfGroup].v_y[0];
1314 _JcbDiff[(3+_Ndim)*_nVar +1+_Ndim]= _limitField[nameOfGroup].v_y[1];
1315 v2_v+=_limitField[nameOfGroup].v_y[0]*_limitField[nameOfGroup].v_y[0];
1316 v2_l+=_limitField[nameOfGroup].v_y[1]*_limitField[nameOfGroup].v_y[1];
1319 _JcbDiff[3*_nVar]=_limitField[nameOfGroup].v_z[0];
1320 _JcbDiff[(4+_Ndim)*_nVar +1+_Ndim]= _limitField[nameOfGroup].v_z[1];
1321 v2_v+=_limitField[nameOfGroup].v_z[0]*_limitField[nameOfGroup].v_z[0];
1322 v2_l+=_limitField[nameOfGroup].v_z[1]*_limitField[nameOfGroup].v_z[1];
1325 _JcbDiff[(_nVar-1)*_nVar]= _fluides[0]->getInternalEnergy(_limitField[nameOfGroup].T,rho_v)+0.5*v2_v;
1326 _JcbDiff[(_nVar-1)*_nVar +1+_Ndim]=_fluides[1]->getInternalEnergy(_limitField[nameOfGroup].T,rho_l)+0.5*v2_l;
1328 } else if (_limitField[nameOfGroup].bcType==Outlet){
1329 //extraction de l etat courant et primitives
1332 for(k=1; k<_nVar;k++)
1333 {_idm[k] = _idm[k-1] + 1;}
1334 VecGetValues(_conservativeVars, _nVar, _idm, _phi);
1335 VecGetValues(_primitiveVars, _nVar, _idm, _externalStates);
1338 else if (_limitField[nameOfGroup].bcType!=Neumann && _limitField[nameOfGroup].bcType!=InletPressure){
1339 cout<<"Condition limite non traitee pour le bord "<<nameOfGroup<< endl;
1340 throw CdmathException("FiveEqsTwoFluid::jacobianDiff: Condition limite non traitee");
1345 void FiveEqsTwoFluid::setBoundaryState(string nameOfGroup, const int &j,double *normale){
1346 //To do controle signe des vitesses pour CL entree/sortie
1348 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;
1349 double v1[_Ndim], v2[_Ndim];
1352 for(k=1; k<_nVar; k++)
1353 _idm[k] = _idm[k-1] + 1;
1355 VecGetValues(_conservativeVars, _nVar, _idm, _externalStates);//On initialise l'état fantôme avec l'état interne
1357 for(k=0; k<_Ndim; k++){
1358 q1_n+=_externalStates[(k+1)]*normale[k];
1359 q2_n+=_externalStates[(k+1+1+_Ndim)]*normale[k];
1360 u1_n+=_Vj[(k+2)]*normale[k];
1361 u2_n+=_Vj[(k+2+_Ndim)]*normale[k];
1364 if(_verbose && _nbTimeStep%_freqSave ==0)
1366 cout << "Boundary conditions for group "<< nameOfGroup<< ", inner cell j= "<<j << " face unit normal vector "<<endl;
1367 for(k=0; k<_Ndim; k++){
1368 cout<<normale[k]<<", ";
1373 if (_limitField[nameOfGroup].bcType==Wall){
1375 //Pour la convection, inversion du sens des vitesses
1376 VecGetValues(_primitiveVars, _nVar, _idm, _Vj);
1377 for(k=0; k<_Ndim; k++){
1378 _externalStates[(k+1)]-= 2*q1_n*normale[k];
1379 _externalStates[(k+1+1+_Ndim)]-= 2*q2_n*normale[k];
1380 _Vj[(k+2)]-= 2*u1_n*normale[k];
1381 _Vj[(k+2+_Ndim)]-= 2*u2_n*normale[k];
1384 for(k=1; k<_nVar; k++)
1385 _idm[k] = _idm[k-1] + 1;
1387 VecAssemblyBegin(_Uext);
1388 VecAssemblyBegin(_Vext);
1389 VecSetValues(_Uext, _nVar, _idm, _externalStates, INSERT_VALUES);
1390 VecSetValues(_Vext, _nVar, _idm, _Vj, INSERT_VALUES);
1391 VecAssemblyEnd(_Uext);
1392 VecAssemblyEnd(_Vext);
1394 //Pour la diffusion, paroi à vitesses et temperature imposees
1395 double pression=_Vj[1];//pressure inside
1396 double T=_Vj[_nVar-1];//temperature outside
1397 double rho_v=_fluides[0]->getDensity(pression,T);
1398 double rho_l=_fluides[1]->getDensity(pression,T);
1399 _externalStates[1]=_externalStates[0]*_limitField[nameOfGroup].v_x[0];
1400 _externalStates[2+_Ndim]=_externalStates[1+_Ndim]*_limitField[nameOfGroup].v_x[1];
1403 _externalStates[2]=_externalStates[0]*_limitField[nameOfGroup].v_y[0];
1404 _externalStates[3+_Ndim]=_externalStates[1+_Ndim]*_limitField[nameOfGroup].v_y[1];
1407 _externalStates[3]=_externalStates[0]*_limitField[nameOfGroup].v_z[0];
1408 _externalStates[4+_Ndim]=_externalStates[1+_Ndim]*_limitField[nameOfGroup].v_z[1];
1411 _externalStates[_nVar-1] = _externalStates[0]*(_fluides[0]->getInternalEnergy(_limitField[nameOfGroup].T,rho_v) + v1_2/2)
1412 +_externalStates[1+_Ndim]*(_fluides[1]->getInternalEnergy(_limitField[nameOfGroup].T,rho_l) + v2_2/2);
1413 VecAssemblyBegin(_Uextdiff);
1414 VecSetValues(_Uextdiff, _nVar, _idm, _externalStates, INSERT_VALUES);
1415 VecAssemblyEnd(_Uextdiff);
1417 else if (_limitField[nameOfGroup].bcType==Neumann){
1419 for(k=1; k<_nVar; k++)
1420 _idm[k] = _idm[k-1] + 1;
1422 VecGetValues(_primitiveVars, _nVar, _idm, _Vj);
1424 for(k=1; k<_nVar; k++)
1425 _idm[k] = _idm[k-1] + 1;
1427 VecAssemblyBegin(_Uext);
1428 VecSetValues(_Uext, _nVar, _idm, _externalStates, INSERT_VALUES);
1429 VecAssemblyEnd(_Uext);
1431 VecAssemblyBegin(_Vext);
1432 VecSetValues(_Vext, _nVar, _idm, _Vj, INSERT_VALUES);
1433 VecAssemblyEnd(_Vext);
1435 VecAssemblyBegin(_Uextdiff);
1436 VecSetValues(_Uextdiff, _nVar, _idm, _externalStates, INSERT_VALUES);
1437 VecAssemblyEnd(_Uextdiff);
1439 else if (_limitField[nameOfGroup].bcType==Inlet){
1441 for(k=1; k<_nVar; k++)
1442 _idm[k] = _idm[k-1] + 1;
1444 VecGetValues(_primitiveVars, _nVar, _idm, _Vj);
1445 double alpha=_limitField[nameOfGroup].alpha;//void fraction outside
1446 double pression=_Vj[1];//pressure inside
1447 double T=_limitField[nameOfGroup].T;//temperature outside
1448 double rho_v=_fluides[0]->getDensity(pression,T);
1449 double rho_l=_fluides[1]->getDensity(pression,T);
1450 //cout<<"Inlet alpha= "<<alpha<<" pression= "<<pression<<" temperature= "<<T<<" velocity gas "<<_limitField[nameOfGroup].v_x[0]<<" velocity liq "<<_limitField[nameOfGroup].v_x[1]<<endl;
1452 _externalStates[0]=alpha*rho_v;
1453 _externalStates[1 + _Ndim] = (1-alpha)*rho_l;
1454 v1[0] = _limitField[nameOfGroup].v_x[0];
1455 v2[0] = _limitField[nameOfGroup].v_x[1];
1457 v1[1] = _limitField[nameOfGroup].v_y[0];
1458 v2[1] = _limitField[nameOfGroup].v_y[1];
1461 v1[2] = _limitField[nameOfGroup].v_z[0];
1462 v2[2] = _limitField[nameOfGroup].v_z[1];
1464 for (int idim=0;idim<_Ndim;idim++){
1465 _externalStates[1 + idim] = v1[idim]* _externalStates[0]; // phase 1
1466 _externalStates[2 + _Ndim + idim] = v2[idim]* _externalStates[1+_Ndim]; // phase 2
1467 v1_2 += v1[idim]*v1[idim];
1468 v2_2 += v2[idim]*v2[idim];
1469 _Vj[2+idim] = v1[idim];
1470 _Vj[2+_Ndim+idim] = v2[idim];
1472 _externalStates[_nVar-1] = _externalStates[0] *(_fluides[0]->getInternalEnergy(T,rho_v) + v1_2/2)
1473 +_externalStates[1+_Ndim]*(_fluides[1]->getInternalEnergy(T,rho_l) + v2_2/2);
1475 // _Vj external primitives
1480 for(k=1; k<_nVar; k++)
1481 _idm[k] = _idm[k-1] + 1;
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);
1493 else if (_limitField[nameOfGroup].bcType==InletPressure){
1495 for(k=1; k<_nVar; k++)
1496 _idm[k] = _idm[k-1] + 1;
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];
1502 hydroPress+=Cj.y()*_GravityField3d[1];
1504 hydroPress+=Cj.z()*_GravityField3d[2];
1506 hydroPress*=_externalStates[0]+_externalStates[_Ndim];//multiplication by rho the total density
1508 //Building the external state
1509 VecGetValues(_primitiveVars, _nVar, _idm,_Vj);
1510 double alpha=_limitField[nameOfGroup].alpha;
1511 double pression=_limitField[nameOfGroup].p+hydroPress;
1512 double T=_limitField[nameOfGroup].T;
1513 double rho_v=_fluides[0]->getDensity(pression,T);
1514 double rho_l=_fluides[1]->getDensity(pression,T);
1515 _externalStates[0]=alpha*rho_v;
1516 _externalStates[1+_Ndim]=(1-alpha)*rho_l;
1518 for(int idim=0;idim<_Ndim;idim++){
1519 _externalStates[idim+1]=_externalStates[0]*_Vj[idim+2];
1520 _externalStates[idim+2+_Ndim]=_externalStates[1+_Ndim]*_Vj[idim+2+_Ndim];
1521 v1_2+=_Vj[2+idim]*_Vj[2+idim];
1522 v2_2+=_Vj[2+_Ndim+idim]*_Vj[2+_Ndim+idim];
1524 _externalStates[_nVar-1]= alpha *rho_v*(_fluides[0]->getInternalEnergy(T,rho_v)+v1_2/2)
1525 +(1-alpha)*rho_l*(_fluides[1]->getInternalEnergy(T,rho_l)+v2_2/2);
1527 // _Vj external primitives
1533 for(k=1; k<_nVar; k++)
1534 _idm[k] = _idm[k-1] + 1;
1535 VecAssemblyBegin(_Uext);
1536 VecAssemblyBegin(_Vext);
1537 VecAssemblyBegin(_Uextdiff);
1538 VecSetValues(_Uext, _nVar, _idm, _externalStates, INSERT_VALUES);
1539 VecSetValues(_Vext, _nVar, _idm, _Vj, INSERT_VALUES);
1540 VecSetValues(_Uextdiff, _nVar, _idm, _externalStates, INSERT_VALUES);
1541 VecAssemblyEnd(_Uext);
1542 VecAssemblyEnd(_Vext);
1543 VecAssemblyEnd(_Uextdiff);
1545 else if (_limitField[nameOfGroup].bcType==Outlet){
1547 for(k=1; k<_nVar; k++)
1548 _idm[k] = _idm[k-1] + 1;
1550 //Computation of the hydrostatic contribution : scalar product between gravity vector and position vector
1551 Cell Cj=_mesh.getCell(j);
1552 double hydroPress=Cj.x()*_GravityField3d[0];
1554 hydroPress+=Cj.y()*_GravityField3d[1];
1556 hydroPress+=Cj.z()*_GravityField3d[2];
1558 hydroPress*=_externalStates[0]+_externalStates[_Ndim];//multiplication by rho the total density
1560 //Building the external state
1561 VecGetValues(_primitiveVars, _nVar, _idm,_Vj);
1562 double pression_int=_Vj[1];
1563 double pression_ext=_limitField[nameOfGroup].p+hydroPress;
1564 double T=_Vj[_nVar-1];
1565 double rho_v_int=_fluides[0]->getDensity(pression_int,T);
1566 double rho_l_int=_fluides[1]->getDensity(pression_int,T);
1567 double rho_v_ext=_fluides[0]->getDensity(pression_ext,T);
1568 double rho_l_ext=_fluides[1]->getDensity(pression_ext,T);
1570 for(k=0;k<1+_Ndim;k++){
1571 _externalStates[k]*=rho_v_ext/rho_v_int;
1572 _externalStates[k+1+_Ndim]*=rho_l_ext/rho_l_int;
1574 double alpha=_Vj[0];
1575 //cout<<"Outlet alpha= "<<alpha<<" pression int= "<<pression_int<<" pression ext= "<<pression_ext<<" temperature= "<<T<<" velocity gas "<<_Uj[2]<<" velocity liq "<<_Uj[2+_Ndim]<<endl;
1576 for(int idim=0;idim<_Ndim;idim++){
1577 v1_2+=_Vj[2+idim]*_Vj[2+idim];
1578 v2_2+=_Vj[2+_Ndim+idim]*_Vj[2+_Ndim+idim];
1580 _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);
1582 // _Vj external primitives
1583 _Vj[1] = pression_ext;
1586 for(k=1; k<_nVar; k++)
1587 _idm[k] = _idm[k-1] + 1;
1588 VecAssemblyBegin(_Uext);
1589 VecAssemblyBegin(_Vext);
1590 VecAssemblyBegin(_Uextdiff);
1591 VecSetValues(_Uext, _nVar, _idm, _externalStates, INSERT_VALUES);
1592 VecSetValues(_Vext, _nVar, _idm, _Vj, INSERT_VALUES);
1593 VecSetValues(_Uextdiff, _nVar, _idm, _externalStates, INSERT_VALUES);
1594 VecAssemblyEnd(_Uext);
1595 VecAssemblyEnd(_Vext);
1596 VecAssemblyEnd(_Uextdiff);
1599 cout<<"Boundary condition not set for boundary named "<<nameOfGroup<<endl;
1600 cout<<"Accepted boundary condition are Neumann, Wall, Inlet, and Outlet"<<endl;
1601 throw CdmathException("Unknown boundary condition");
1605 void FiveEqsTwoFluid::addDiffusionToSecondMember
1610 double Tm=_Udiff[_nVar-1];
1611 double lambdal=_fluides[1]->getConductivity(Tm);
1612 double lambdav=_fluides[0]->getConductivity(Tm);
1613 double mu1 =_fluides[0]->getViscosity(Tm);
1614 double mu2 = _fluides[1]->getViscosity(Tm);
1616 if(mu1==0 && mu2 ==0 && lambdav==0 && lambdal==0 && _heatTransfertCoeff==0)
1619 //extraction des valeurs
1621 for(int k=1; k<_nVar; k++)
1622 _idm[k] = _idm[k-1] + 1;
1624 VecGetValues(_primitiveVars, _nVar, _idm, _Vi);
1625 if (_verbose && _nbTimeStep%_freqSave ==0)
1627 cout << "Contribution diffusion: variables primitives maille " << i<<endl;
1628 for(int q=0; q<_nVar; q++)
1630 cout << _Vi[q] << endl;
1636 for(int k=0; k<_nVar; k++)
1637 _idm[k] = _nVar*j + k;
1639 VecGetValues(_primitiveVars, _nVar, _idm, _Vj);
1643 lambdal=max(lambdal,_heatTransfertCoeff);//wall nucleate boing -> larger heat transfer
1645 for(int k=0; k<_nVar; k++)
1647 VecGetValues(_Uextdiff, _nVar, _idm, _phi);
1648 consToPrim(_phi,_Vj);
1651 if (_verbose && _nbTimeStep%_freqSave ==0)
1653 cout << "Contribution diffusion: variables primitives maille " <<j <<endl;
1654 for(int q=0; q<_nVar; q++)
1656 cout << _Vj[q] << endl;
1660 double alpha=(_Vj[0]+_Vi[0])/2;
1661 double lambda = alpha*lambdav+(1-alpha)*lambdal;
1662 //on n'a pas de contribution sur la masse
1665 //contribution visqueuse sur la quantite de mouvement
1666 for(int k=1; k<_Ndim+1; k++)
1668 _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
1669 _phi[k+_Ndim+1] = _inv_dxi*2/(1/_inv_dxi+1/_inv_dxj)*mu2*(1-alpha)*(_Vj[2+k+_Ndim] - _Vi[2+k+_Ndim]);
1671 _phi[_nVar-1] = _inv_dxi*2/(1/_inv_dxi+1/_inv_dxj)*lambda *(_Vj[_nVar-1] - _Vi[_nVar-1]);
1673 VecSetValuesBlocked(_b, 1, _idm, _phi, ADD_VALUES);
1675 if(_verbose && _nbTimeStep%_freqSave ==0)
1677 cout << "Contribution diffusion au 2nd membre pour la maille " << i << ": "<<endl;
1678 for(int q=0; q<_nVar; q++)
1680 cout << _phi[q] << endl;
1687 //On change de signe pour l'autre contribution
1688 for(int k=0; k<_nVar; k++)
1689 _phi[k] *= -_inv_dxj/_inv_dxi;
1692 VecSetValuesBlocked(_b, 1, _idm, _phi, ADD_VALUES);
1695 if(_verbose && _nbTimeStep%_freqSave ==0)
1697 cout << "Contribution diffusion au 2nd membre pour la maille " << j << ": "<<endl;
1698 for(int q=0; q<_nVar; q++)
1700 cout << _phi[q] << endl;
1704 if(_timeScheme==Implicit)
1706 cout << "Matrice de diffusion D, pour le couple (" << i << "," << j<< "):" << endl;
1707 for(int i=0; i<_nVar; i++)
1709 for(int j=0; j<_nVar; j++)
1710 cout << _Diffusion[i*_nVar+j]<<", ";
1718 void FiveEqsTwoFluid::jacobian(const int &j, string nameOfGroup, double * normale)
1721 for(k=0; k<_nVar*_nVar;k++)
1722 _Jcb[k] = 0;//No implicitation at this stage
1724 // loop of boundary types
1725 if (_limitField[nameOfGroup].bcType==Wall)
1727 for(k=0; k<_nVar;k++)
1728 _Jcb[k*_nVar + k] = 1;
1729 for(k=1; k<1+_Ndim;k++)
1730 for(int l=1; l<1+_Ndim;l++){
1731 _Jcb[k*_nVar + l] -= 2*normale[k-1]*normale[l-1];
1732 _Jcb[(k+1+_Ndim)*_nVar + l+1+_Ndim] -= 2*normale[k-1]*normale[l-1];
1736 else if (_limitField[nameOfGroup].bcType==Inlet)
1739 _Jcb[(1+_Ndim)*_nVar +1+_Ndim] = 1;
1740 _Jcb[_nVar]=_limitField[nameOfGroup].v_x[0];
1741 _Jcb[(2+_Ndim)*_nVar +1+_Ndim] =_limitField[nameOfGroup].v_x[1];
1744 _Jcb[2*_nVar]=_limitField[nameOfGroup].v_y[0];
1745 _Jcb[(3+_Ndim)*_nVar +1+_Ndim]= _limitField[nameOfGroup].v_y[1];
1748 _Jcb[3*_nVar]=_limitField[nameOfGroup].v_z[0];
1749 _Jcb[(4+_Ndim)*_nVar +1+_Ndim]= _limitField[nameOfGroup].v_z[1];
1754 // not wall, not inlet
1755 else if (_limitField[nameOfGroup].bcType==Outlet){
1757 for(k=1; k<_nVar;k++)
1758 {_idm[k] = _idm[k-1] + 1;}
1759 VecGetValues(_conservativeVars, _nVar, _idm, _phi);
1760 VecGetValues(_primitiveVars, _nVar, _idm, _externalStates);
1762 else if (_limitField[nameOfGroup].bcType!=Neumann && _limitField[nameOfGroup].bcType!=InletPressure)// not wall, not inlet, not outlet
1764 cout << "group named "<<nameOfGroup << " : unknown boundary condition" << endl;
1765 throw CdmathException("FiveEqs::jacobianDiff: This boundary condition is not treated");
1770 void FiveEqsTwoFluid::primToCons(const double *P, const int &i, double *W, const int &j){
1771 //P= alpha, p, u1, u2, T
1772 //W=m1,q1,m2,q2,rhoE =alpha1*rho1*(e1+u1^2/2)+alpha2*rho2*(e2+u2^2/2)
1773 double alpha=P[i*_nVar];
1774 double pression=P[i*_nVar+1];
1775 double temperature=P[i*_nVar+_nVar-1];
1776 double rho_v=_fluides[0]->getDensity(pression,temperature);
1777 double rho_l=_fluides[1]->getDensity(pression,temperature);
1778 double u1_sq=0, u2_sq=0;
1780 W[j*_nVar] = alpha*rho_v;
1781 W[j*_nVar+1+_Ndim] = (1-alpha)*rho_l;
1783 for(int k=0; k<_Ndim; k++)
1785 W[j*_nVar+(k+1)] = W[j*_nVar]*P[i*_nVar+(k+2)];//alpha1*rho1*u1
1786 W[j*_nVar+(k+1)+1+_Ndim] = W[j*_nVar+1+_Ndim]*P[i*_nVar+(k+2)+_Ndim];//alpha2*rho2*u2
1789 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);
1790 for(int k=0; k<_Ndim; k++){
1791 u1_sq+=P[i*_nVar+(k+2)]*P[i*_nVar+(k+2)];
1792 u2_sq+=P[i*_nVar+(k+2)+_Ndim]*P[i*_nVar+(k+2)+_Ndim];
1794 W[j*_nVar+_nVar-1] += (W[j*_nVar]*u1_sq+W[j*_nVar+1+_Ndim]*u2_sq)*0.5;
1797 void FiveEqsTwoFluid::consToPrim(const double *Wcons, double* Wprim,double porosity)//To do: treat porosity
1799 //Wprim= alpha, p, u1, u2, T
1800 //Wcons=m1,q1,m2,q2,rhoE
1801 double m_v=Wcons[0];
1802 double m_l=Wcons[1+_Ndim];
1803 double q1_sq = 0,q2_sq = 0;
1804 _minm1=min(m_v,_minm1);
1805 _minm2=min(m_l,_minm2);
1807 if(m_v<-_precision || m_l<-_precision){
1810 for(int k=0;k<_Ndim;k++){
1811 q1_sq += Wcons[k+1]*Wcons[k+1];
1812 q2_sq += Wcons[k+1+1+_Ndim]*Wcons[k+1+1+_Ndim];
1814 if(Wcons[0]>0)//_precision*_precision*_precision)
1815 q1_sq /= Wcons[0]; //alpha1 rho1 u1²
1818 if(Wcons[1+_Ndim]>0)//_precision*_precision*_precision)
1819 q2_sq /= Wcons[1+_Ndim]; //alpha2 rho2 u1²
1822 double rho_m_e_m=Wcons[_nVar-1] -0.5*(q1_sq+q2_sq);
1823 //calcul de la temperature et de la pression pour une loi stiffened gas
1824 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"));
1825 double e_v=static_cast<StiffenedGas*>(_fluides[0])->getInternalEnergy(temperature);
1826 double e_l=static_cast<StiffenedGas*>(_fluides[1])->getInternalEnergy(temperature);
1827 double gamma_v=_fluides[0]->constante("gamma");
1828 double gamma_l=_fluides[1]->constante("gamma");
1829 double Pinf_v=- gamma_v*_fluides[0]->constante("p0");
1830 double Pinf_l=- gamma_l*_fluides[1]->constante("p0");
1832 double b=-(Pinf_v+m_v*(gamma_v-1)*e_v+Pinf_l+m_l*(gamma_l-1)*e_l);
1833 double c=Pinf_v*Pinf_l+Pinf_v*m_l*(gamma_l-1)*e_l+ Pinf_l*m_v*(gamma_v-1)*e_v;
1834 double delta= b*b-4*a*c;
1836 cout<<"delta= "<<delta<<" <0"<<endl;
1837 *_runLogFile<<"delta= "<<delta<<" <0"<<endl;
1838 throw CdmathException("FiveEqsTwoFluid::consToPrim: Failed to compute pressure");
1840 double pression=(-b+sqrt(delta))/(2*a);
1842 cout << "pressure = "<< pression << " < 1 Pa " << endl;
1843 cout << "Conservative state = ";
1844 for(int k=0; k<_nVar; k++){
1845 cout<<Wcons[k]<<", ";
1848 *_runLogFile << "FiveEqsTwoFluid::consToPrim: Failed to compute pressure = "<< pression << " < 1 Pa " << endl;
1849 throw CdmathException("FiveEqsTwoFluid::consToPrim: Failed to compute pressure");
1852 double rho_v=_fluides[0]->getDensity(pression,temperature);
1853 double alpha=m_v/rho_v;
1855 Wprim[1] = pression;
1856 for(int k=0;k<_Ndim;k++){//vitesses
1857 if(Wcons[0]>0)//_precision*_precision*_precision)
1858 Wprim[k+2] = Wcons[k+1]/Wcons[0];
1860 Wprim[k+2] = Wcons[k+2+_Ndim]/Wcons[1+_Ndim];
1861 if(Wcons[1+_Ndim]>0)//_precision*_precision*_precision)
1862 Wprim[k+2+_Ndim] = Wcons[k+2+_Ndim]/Wcons[1+_Ndim];
1864 Wprim[k+2+_Ndim] = Wcons[k+1]/Wcons[0];
1866 Wprim[_nVar-1] = temperature;
1869 void FiveEqsTwoFluid::entropicShift(double* n, double& vpcorr0, double& vpcorr1)
1872 // parameters of function dgeev_ (compute the eigenvalues)
1873 int LDA, LDVL,LWORK, SDIM,LDVR;
1878 char jobvl[]="N", jobvr[]="N";
1879 double WORK[LWORK], JacoMat[_nVar*_nVar],egvaReal[_nVar],egvaImag[_nVar],egVectorL[_nVar*_nVar],egVectorR[_nVar*_nVar];
1880 int info_l = 0, info_r = 0;
1882 /******** Left: Compute the eigenvalues and eigenvectors of Jacobian Matrix (using lapack)********/
1883 convectionJacobianMatrix(_l, n);
1884 for (int i=0; i<_nVar*_nVar; i++){
1885 JacoMat[i] = _JacoMat[i];
1887 dgeev_(jobvl, jobvl, &_nVar,
1888 JacoMat,&LDA,egvaReal,egvaImag, egVectorL,
1893 // /******** Right: Compute the eigenvalues and eigenvectors of Jacobian Matrix (using lapack)********/
1894 convectionJacobianMatrix(_r, n);
1895 for (int i=0; i<_nVar*_nVar; i++){
1896 JacoMat[i] = _JacoMat[i];
1898 dgeev_(jobvl, jobvl, &_nVar,
1899 JacoMat,&LDA,egvaReal,egvaImag, egVectorL,
1904 if (info_l < 0 || info_r < 0)
1906 cout<<"Warning FiveEqsTwoFluid::entropicShift: dgeev_ did not compute all the eigenvalues, trying heuristic entropy correction "<<endl;
1907 double u1l_n=0, u2l_n=0, u1r_n=0, u2r_n=0;
1908 for (int idim=0; idim<_Ndim; idim++){
1909 u1l_n= _l[2+idim] *n[idim];
1910 u2l_n= _l[2+idim+_Ndim]*n[idim];
1911 u1r_n= _r[2+idim] *n[idim];
1912 u2r_n= _r[2+idim+_Ndim]*n[idim];
1915 vpcorr0 =max(fabs(u1l_n-u1r_n),fabs(u2l_n-u2r_n));
1920 std::vector< std::complex<double> > eigValuesLeft(_nVar);
1921 std::vector< std::complex<double> > eigValuesRight(_nVar);
1922 for(int j=0; j<_nVar; j++){
1923 eigValuesLeft[j] = complex<double>(egvaReal[j],egvaImag[j]);
1924 eigValuesRight[j] = complex<double>(egvaReal[j],egvaImag[j]);
1927 int sizeLeft = Poly.new_tri_selectif(eigValuesLeft, eigValuesLeft.size(), _precision);
1928 int sizeRight = Poly.new_tri_selectif(eigValuesRight, eigValuesRight.size(), _precision);
1929 if (_verbose && _nbTimeStep%_freqSave ==0)
1931 cout<<" Eigenvalue of JacoMat Left: " << endl;
1932 for(int i=0; i<sizeLeft; i++)
1933 cout<<eigValuesLeft[i] << ", "<<endl;
1935 if (_verbose && _nbTimeStep%_freqSave ==0)
1937 cout<<" Eigenvalue of JacoMat Right: " << endl;
1938 for(int i=0; i<sizeRight; i++)
1939 cout<<eigValuesRight[i] << ", "<<endl;
1942 for (int i=1; i<min(sizeLeft,sizeRight)-1; i++)
1943 vpcorr0 = max(vpcorr0, abs(eigValuesRight[i]-eigValuesLeft[i]));// Kieu
1948 void FiveEqsTwoFluid::entropicShift(double* n)
1951 // parameters of function dgeev_ (compute the eigenvalues)
1952 int LDA, LDVL,LWORK, SDIM,LDVR;
1957 char jobvl[]="N", jobvr[]="N";
1958 double WORK[LWORK], JacoMat[_nVar*_nVar],egvaReal[_nVar],egvaImag[_nVar],egVectorL[_nVar*_nVar],egVectorR[_nVar*_nVar];
1960 /******** Left: Compute the eigenvalues and eigenvectors of Jacobian Matrix (using lapack)********/
1961 convectionJacobianMatrix(_l, n);
1962 for (int i=0; i<_nVar*_nVar; i++){
1963 JacoMat[i] = _JacoMat[i];
1965 dgeev_(jobvl, jobvl, &_nVar,
1966 JacoMat,&LDA,egvaReal,egvaImag, egVectorL,
1971 *_runLogFile<<"FiveEqsTwoFluid::JacoMat: dgeev_ unsuccessful computation of the eigenvalues of Jacobian Matrix (left)"<<endl;
1972 throw CdmathException(
1973 "FiveEqsTwoFluid::JacoMat: dgeev_ unsuccessful computation of the eigenvalues of Jacobian Matrix (left)");
1976 std::vector< std::complex<double> > eigValuesLeft(_nVar,0.);
1977 for(int j=0; j<_nVar; j++){
1978 eigValuesLeft[j] = complex<double>(egvaReal[j],egvaImag[j]);
1980 // /******** Right: Compute the eigenvalues and eigenvectors of Jacobian Matrix (using lapack)********/
1981 convectionJacobianMatrix(_r, n);
1982 for (int i=0; i<_nVar*_nVar; i++){
1983 JacoMat[i] = _JacoMat[i];
1985 dgeev_(jobvl, jobvl, &_nVar,
1986 JacoMat,&LDA,egvaReal,egvaImag, egVectorL,
1992 *_runLogFile<<"FiveEqsTwoFluid::entropicShift: dgeev_ unsuccessful computation of the eigenvalues of Jacobian Matrix (right)"<<endl;
1993 throw CdmathException(
1994 "FiveEqsTwoFluid::entropicShift: dgeev_ unsuccessful computation of the eigenvalues of Jacobian Matrix (right)");
1997 std::vector< std::complex<double> > eigValuesRight(_nVar,0.);
1998 for(int j=0; j<_nVar; j++){
1999 eigValuesRight[j] = complex<double>(egvaReal[j],egvaImag[j]);
2002 int sizeLeft = Poly.new_tri_selectif(eigValuesLeft, eigValuesLeft.size(), _precision);
2003 int sizeRight = Poly.new_tri_selectif(eigValuesRight, eigValuesRight.size(), _precision);
2004 if (_verbose && _nbTimeStep%_freqSave ==0)
2006 cout<<" Eigenvalue of JacoMat Left: " << endl;
2007 for(int i=0; i<sizeLeft; i++)
2008 cout<<eigValuesLeft[i] << ", "<<endl;
2009 cout<<" Eigenvalue of JacoMat Right: " << endl;
2010 for(int i=0; i<sizeRight; i++)
2011 cout<<eigValuesRight[i] << ", "<<endl;
2013 for (int i=0; i<min(sizeLeft,sizeRight)-1; i++)
2014 _entropicShift[i]= abs(eigValuesRight[i]-eigValuesLeft[i]);
2017 Vector FiveEqsTwoFluid::staggeredVFFCFlux()
2019 if(_spaceScheme!=staggered || _nonLinearFormulation!=VFFC)
2020 throw CdmathException("IsothermalTwoFluid::staggeredVFFCFlux: staggeredVFFCFlux method should be called only for VFFC formulation and staggered upwinding");
2021 else//_spaceScheme==staggered
2025 double alpha_roe = _Uroe[0];//Toumi formula
2026 // interfacial pressure term (hyperbolic correction)
2027 double dpi = _Uroe[_nVar];
2029 double u1ijn=0, u2ijn=0, phialphaq1n=0, phialphaq2n=0,vitesse1n=0,vitesse2n=0;
2030 for(int idim=0;idim<_Ndim;idim++){//URoe = alpha, p, u1, u2, T, dpi
2031 u1ijn+=_vec_normal[idim]*_Uroe[2+idim];
2032 u2ijn+=_vec_normal[idim]*_Uroe[2+_Ndim+idim];
2036 for(int idim=0;idim<_Ndim;idim++){
2037 phialphaq1n+=_vec_normal[idim]*_Ui[1+idim];//phi alpha rho u n
2038 vitesse1n +=_vec_normal[idim]*_Vi[2+idim];
2041 for(int idim=0;idim<_Ndim;idim++)
2042 Fij(1+idim)=phialphaq1n*_Vi[2+idim]+(alpha_roe*_Vj[1]*_porosityj+dpi*_Vi[0]*_porosityi)*_vec_normal[idim];
2044 double pressioni=_Vi[1];
2045 double Temperaturei= _Vi[_nVar-1];
2046 double rho1=_fluides[0]->getDensity(pressioni,Temperaturei);
2047 double e1_int=_fluides[0]->getInternalEnergy(Temperaturei,rho1);
2048 Fij(_nVar-1)+=_Ui[0]*(e1_int+0.5*vitesse1n*vitesse1n+_Vj[1]/rho1)*vitesse1n;
2052 for(int idim=0;idim<_Ndim;idim++){
2053 phialphaq2n+=_vec_normal[idim]*_Uj[1+idim];//phi alpha rho u n
2054 vitesse1n +=_vec_normal[idim]*_Vj[2+idim];
2057 for(int idim=0;idim<_Ndim;idim++)
2058 Fij(1+idim)=phialphaq2n*_Vj[2+idim]+(alpha_roe*_Vi[1]*_porosityi+dpi*_Vj[0]*_porosityj)*_vec_normal[idim];
2060 double pressionj=_Vj[1];
2061 double Temperaturej= _Vj[_nVar-1];
2062 double rho1=_fluides[0]->getDensity(pressionj,Temperaturej);
2063 double e1_int=_fluides[0]->getInternalEnergy(Temperaturej,rho1);
2064 Fij(_nVar-1)+=_Uj[0]*(e1_int+0.5*vitesse1n*vitesse1n+_Vi[1]/rho1)*vitesse1n;
2069 for(int idim=0;idim<_Ndim;idim++){
2070 phialphaq2n+=_vec_normal[idim]*_Ui[2+_Ndim+idim];//phi alpha rho u n
2071 vitesse2n +=_vec_normal[idim]*_Vi[2+idim+_Ndim];
2073 Fij(1+_Ndim)=phialphaq2n;
2074 for(int idim=0;idim<_Ndim;idim++)
2075 Fij(2+_Ndim+idim)=phialphaq2n*_Vi[2+_Ndim+idim]+((1-alpha_roe)*_Vj[1]*_porosityj-dpi*_Vi[0]*_porosityi)*_vec_normal[idim];
2077 double pressioni=_Vi[1];
2078 double Temperaturei= _Vi[_nVar-1];
2079 double rho2=_fluides[1]->getDensity(pressioni,Temperaturei);
2080 double e2_int=_fluides[1]->getInternalEnergy(Temperaturei,rho2);
2081 Fij(_nVar-1)+=_Ui[1+_Ndim]*(e2_int+0.5*vitesse2n*vitesse2n+_Vj[1]/rho2)*vitesse2n;
2085 for(int idim=0;idim<_Ndim;idim++){
2086 phialphaq2n+=_vec_normal[idim]*_Uj[2+_Ndim+idim];//phi alpha rho u n
2087 vitesse2n +=_vec_normal[idim]*_Vj[2+idim+_Ndim];
2089 Fij(1+_Ndim)=phialphaq2n;
2090 for(int idim=0;idim<_Ndim;idim++)
2091 Fij(2+_Ndim+idim)=phialphaq2n*_Vj[2+_Ndim+idim]+((1-alpha_roe)*_Vi[1]*_porosityi-dpi*_Vj[0]*_porosityj)*_vec_normal[idim];
2093 double pressionj=_Vj[1];
2094 double Temperaturej= _Vj[_nVar-1];
2095 double rho2=_fluides[1]->getDensity(pressionj,Temperaturej);
2096 double e2_int=_fluides[1]->getInternalEnergy(Temperaturej,rho2);
2097 Fij(_nVar-1)+=_Uj[1+_Ndim]*(e2_int+0.5*vitesse2n*vitesse2n+_Vi[1]/rho2)*vitesse2n;
2103 void FiveEqsTwoFluid::applyVFRoeLowMachCorrections(bool isBord, string groupname)
2105 if(_nonLinearFormulation!=VFRoe)
2106 throw CdmathException("FiveEqsTwoFluid::applyVFRoeLowMachCorrections: applyVFRoeLowMachCorrections method should be called only for VFRoe formulation");
2107 else//_nonLinearFormulation==VFRoe
2109 if(_spaceScheme==lowMach){
2110 double u1_2=0, u2_2=0;
2111 for(int i=0;i<_Ndim;i++){
2112 u1_2 += _Uroe[2+i]*_Uroe[2+i];
2113 u2_2 += _Uroe[2+i+_Ndim]*_Uroe[2+i+_Ndim];
2116 double c = _maxvploc;//mixture sound speed
2117 double M=max(sqrt(u1_2),sqrt(u2_2))/c;//Mach number
2118 _Vij[1]=M*_Vij[1]+(1-M)*(_Vi[1]+_Vj[1])/2;
2119 primToCons(_Vij,0,_Uij,0);
2121 else if(_spaceScheme==pressureCorrection)
2123 if(_pressureCorrectionOrder>2)
2124 throw CdmathException("FiveEqsTwoFluid::applyVFRoeLowMachCorrections pressure correction order can be only 1 or 2 for five equation two-fluid model");
2126 double norm_uij=0, uij_n=0, ui_n=0, uj_n=0;//mean velocities
2127 double rho1 = _fluides[0]->getDensity(_Uroe[1],_Uroe[_nVar-1]);
2128 double rho2 = _fluides[1]->getDensity(_Uroe[1],_Uroe[_nVar-1]);
2129 double m1=_Uroe[0]*rho1, m2=(1-_Uroe[0])*rho2;
2131 for(int i=0;i<_Ndim;i++)
2133 norm_uij += (m1*_Uroe[2+i]+m2*_Uroe[2+i+_Ndim])*(m1*_Uroe[2+i]+m2*_Uroe[2+i+_Ndim]);
2134 uij_n += (m1*_Uroe[2+i]+m2*_Uroe[2+i+_Ndim])*_vec_normal[i];
2135 ui_n += _Vi[2+i]*_vec_normal[i];
2136 uj_n += _Vj[2+i]*_vec_normal[i];
2138 norm_uij=sqrt(norm_uij)/rhom;
2140 if(norm_uij>_precision)//avoid division by zero
2141 _Vij[1]=(_Vi[1]+_Vj[1])/2 + uij_n/norm_uij*(_Vj[1]-_Vi[1])/4 - rhom*norm_uij*(uj_n-ui_n)/4;
2143 _Vij[1]=(_Vi[1]+_Vj[1])/2 - rhom*norm_uij*(uj_n-ui_n)/4;
2145 else if(_spaceScheme==staggered)
2148 double rho1 = _fluides[0]->getDensity(_Uroe[1],_Uroe[_nVar-1]);
2149 double rho2 = _fluides[1]->getDensity(_Uroe[1],_Uroe[_nVar-1]);
2150 double m1=_Uroe[0]*rho1, m2=(1-_Uroe[0])*rho2;
2152 for(int i=0;i<_Ndim;i++)
2153 qij_n += (m1*_Uroe[2+i]+m2*_Uroe[2+i+_Ndim])*_vec_normal[i];
2158 for(int i=0;i<_Ndim;i++)
2160 _Vij[2+i] =_Vi[2+i];
2161 _Vij[2+i+_Ndim] =_Vi[2+i+_Ndim];
2163 _Vij[_nVar-1]=_Vi[_nVar-1];
2168 for(int i=0;i<_Ndim;i++)
2170 _Vij[2+i] =_Vj[2+i];
2171 _Vij[2+i+_Ndim] =_Vj[2+i+_Ndim];
2173 _Vij[_nVar-1]=_Vj[_nVar-1];
2175 primToCons(_Vij,0,_Uij,0);
2180 void FiveEqsTwoFluid::computeScaling(double maxvp)
2182 _blockDiag[0]=1;//alphaScaling;
2183 _invBlockDiag[0]=1;//_blockDiag[0];
2184 _blockDiag[1+_Ndim]=1;//-alphaScaling;
2185 _invBlockDiag[1+_Ndim]=1.0;//_blockDiag[1+_Ndim];
2186 for(int q=1; q<_Ndim+1; q++)
2188 _blockDiag[q]=1/maxvp;
2189 _invBlockDiag[q]=1/_blockDiag[q];
2190 _blockDiag[q+1+_Ndim]=1/maxvp;
2191 _invBlockDiag[q+1+_Ndim]=1/_blockDiag[q+1+_Ndim];
2193 _blockDiag[_nVar - 1]=1/(maxvp*maxvp);//1
2194 _invBlockDiag[_nVar - 1]= 1./_blockDiag[_nVar - 1] ;// 1.;//
2197 void FiveEqsTwoFluid::testConservation()
2199 double SUM, DELTA, x;
2201 for(int i=0; i<_nVar; i++)
2205 cout << "Masse totale phase " << 0 <<" (kg): ";
2206 else if( i == 1+_Ndim)
2207 cout << "Masse totale phase " << 1 <<" (kg): ";
2208 else if( i == _nVar-1)
2209 cout << "Energie totale " <<" (J.m^-3): ";
2213 cout << "Quantite de mouvement totale phase 0 (kg.m.s^-1): ";
2215 cout << "Quantite de mouvement totale phase 1 (kg.m.s^-1): ";
2221 for(int j=0; j<_Nmailles; j++)
2223 VecGetValues(_old, 1, &I, &x);//on recupere la valeur du champ
2224 SUM += x*_mesh.getCell(j).getMeasure();
2225 VecGetValues(_newtonVariation, 1, &I, &x);//on recupere la variation du champ
2226 DELTA += x*_mesh.getCell(j).getMeasure();
2229 if(fabs(SUM)>_precision)
2230 cout << SUM << ", variation relative: " << fabs(DELTA /SUM) << endl;
2232 cout << " a une somme nulle, variation absolue: " << fabs(DELTA) << endl;
2236 void FiveEqsTwoFluid::save(){
2237 string prim(_path+"/FiveEqsTwoFluidPrim_");
2238 string cons(_path+"/FiveEqsTwoFluidCons_");
2243 for (PetscInt i = 0; i < _Nmailles; i++){
2244 /* j = 0 : void fraction
2246 j = 2, 3, 4: velocity phase 1
2247 j = 5, 6, 7: velocity phase 2
2248 j = 8 : temperature */
2249 for (int j = 0; j < _nVar; j++){
2251 VecGetValues(_primitiveVars,1,&Ii,&_VV(i,j));
2254 if(_saveConservativeField){
2255 for (long i = 0; i < _Nmailles; i++){
2256 for (int j = 0; j < _nVar; j++){
2258 VecGetValues(_conservativeVars,1,&Ii,&_UU(i,j));
2261 _UU.setTime(_time,_nbTimeStep+1);
2263 _VV.setTime(_time,_nbTimeStep+1);
2265 if (_nbTimeStep ==0 || _restartWithNewFileName){
2266 string prim_suppress ="rm -rf "+prim+"_*";
2267 string cons_suppress ="rm -rf "+cons+"_*";
2268 system(prim_suppress.c_str());//Nettoyage des précédents calculs identiques
2269 system(cons_suppress.c_str());//Nettoyage des précédents calculs identiques
2270 _VV.setInfoOnComponent(0,"Void_fraction");
2271 _VV.setInfoOnComponent(1,"Pressure_(Pa)");
2272 _VV.setInfoOnComponent(2,"Velocity1_x_m/s");
2275 _VV.setInfoOnComponent(3,"Velocity1_y_m/s");
2277 _VV.setInfoOnComponent(4,"Velocity1_z_m/s");
2278 _VV.setInfoOnComponent(2+_Ndim,"Velocity2_x_m/s");
2280 _VV.setInfoOnComponent(3+_Ndim,"Velocity2_y_m/s");
2282 _VV.setInfoOnComponent(4+_Ndim,"Velocity2_z_m/s");
2283 _VV.setInfoOnComponent(_nVar-1,"Temperature_(K)");
2297 if(_saveConservativeField){
2298 _UU.setInfoOnComponent(0,"Partial_density1");// (kg/m^3)
2299 _UU.setInfoOnComponent(1,"Momentum1_x");// phase1 (kg/m^2/s)
2301 _UU.setInfoOnComponent(2,"Momentum1_y");// phase1 (kg/m^2/s)
2303 _UU.setInfoOnComponent(3,"Momentum1_z");// phase1 (kg/m^2/s)
2304 _UU.setInfoOnComponent(1+_Ndim,"Partial_density2");// phase2 (kg/m^3)
2305 _UU.setInfoOnComponent(2+_Ndim,"Momentum2_x");// phase2 (kg/m^2/s)
2308 _UU.setInfoOnComponent(3+_Ndim,"Momentum2_y");// phase2 (kg/m^2/s)
2310 _UU.setInfoOnComponent(4+_Ndim,"Momentum2_z");// phase2 (kg/m^2/s)
2311 _UU.setInfoOnComponent(_nVar-1,"Total_energy");
2331 _VV.writeVTK(prim,false);
2334 _VV.writeMED(prim,false);
2341 if(_saveConservativeField){
2345 _UU.writeVTK(cons,false);
2348 _UU.writeMED(cons,false);
2357 for (long i = 0; i < _Nmailles; i++){
2358 // j = 0 : concentration, j=1 : pressure; j = _nVar - 1: temperature; j = 2,..,_nVar-2: velocity
2359 for (int j = 0; j < _Ndim; j++)//On récupère les composantes de vitesse
2362 VecGetValues(_primitiveVars,1,&Ii,&_Vitesse1(i,j));
2363 Ii=i*_nVar +2+j+_Ndim;
2364 VecGetValues(_primitiveVars,1,&Ii,&_Vitesse2(i,j));
2366 for (int j = _Ndim; j < 3; j++){//On met à zero les composantes de vitesse si la dimension est <3
2371 _Vitesse1.setTime(_time,_nbTimeStep);
2372 _Vitesse2.setTime(_time,_nbTimeStep);
2373 if (_nbTimeStep ==0 || _restartWithNewFileName){
2374 _Vitesse1.setInfoOnComponent(0,"Velocity_x_(m/s)");
2375 _Vitesse1.setInfoOnComponent(1,"Velocity_y_(m/s)");
2376 _Vitesse1.setInfoOnComponent(2,"Velocity_z_(m/s)");
2378 _Vitesse2.setInfoOnComponent(0,"Velocity_x_(m/s)");
2379 _Vitesse2.setInfoOnComponent(1,"Velocity_y_(m/s)");
2380 _Vitesse2.setInfoOnComponent(2,"Velocity_z_(m/s)");
2385 _Vitesse1.writeVTK(prim+"_GasVelocity");
2386 _Vitesse2.writeVTK(prim+"_LiquidVelocity");
2389 _Vitesse1.writeMED(prim+"_GasVelocity");
2390 _Vitesse2.writeMED(prim+"_LiquidVelocity");
2393 _Vitesse1.writeCSV(prim+"_GasVelocity");
2394 _Vitesse2.writeCSV(prim+"_LiquidVelocity");
2402 _Vitesse1.writeVTK(prim+"_GasVelocity",false);
2403 _Vitesse2.writeVTK(prim+"_LiquidVelocity",false);
2406 _Vitesse1.writeMED(prim+"_GasVelocity",false);
2407 _Vitesse2.writeMED(prim+"_LiquidVelocity",false);
2410 _Vitesse1.writeCSV(prim+"_GasVelocity");
2411 _Vitesse2.writeCSV(prim+"_LiquidVelocity");
2417 if (_restartWithNewFileName)
2418 _restartWithNewFileName=false;