* fichier : phase_01.dgibi
optio norm auto;
************************************************************************
************************************************************************
************************************************************************
* Cas test : phase01.dgibi
* --------
*
* Categorie : Verification & Validation (Formule Analytique)
* ---------
*
* Description :
* -----------
* plaque 2D sur laquelle on applique 3 modeles
* 1- Diffusion de la chaleur
* 2- Changement de phase THERMIQUE à 'T' = 0°C & Qlat > 0
* 3- Changement de phase THERMIQUE 'T' =100°C & Qlat > 0
* 4- Changement de phase THERMIQUE 'T' =-2°C & Qlat = 0
*
* La temperature initiale est de -20°C
*
* Le point P1 est soumis alternativement a un flux impose positif puis
* negatif.
*
* Les 3 phases evoluent simultanement
*
* Validation :
* ----------
* L'integrale de l'energie injectee par P1 au cours du temps doit etre
* egale (a la precision machine pres) a la chaleur reguliere (RHO.CP)
* plus la chaleur singuliere de changement de phase (Chaleur latente)
*
************************************************************************
GRAPH = FAUX;
'OPTI' 'TRAC' 'PSC';
'OPTI' 'DIME' 2 'ELEM' 'QUA4' 'MODE' plan ;
*************** Temperature de changement de phase ************************
T_ch1 = 0. ;
lat1 = 1000. * 334.00D3 ;
T_ch2 = 100. ;
lat2 = 1000. * 2264.76D3 ;
T_ch3 =-2. ;
lat3 = 0.D0 ;
*************** Geometrie *************************************************
P1 = 0. 0. ;
P2 = 5.e-3 0. ;
P3 = 5.e-3 10.e-3 ;
P4 = 0. 10.e-3 ;
n = 20 ;
L23 = P2 'DROI' n P3 ;
L41 = P4 'DROI' n P1 ;
L14 ='INVE' L41 ;
PA ='POIN' L41 'PROC' (0. 2.5e-3) ;
n = 10 ;
MQUA4= ('INVE' L41) 'REGL' n L23 ;
MTRI3='CHAN' 'TRI3' (L23 'REGL' n (L23 'PLUS' P2));
su1 = MQUA4 'ET' MTRI3;
MPOI1='CHAN' 'POI1' su1 ;
MPOI1='POIN' MPOI1 'DROI' P1 P2 1.D-10 ;
L_BAS='ELEM' ('CONT' su1) 'APPU' 'STRI' MPOI1;
**************** Modeles et caracteristiques *********************************
modth1 ='MODE' su1 'THERMIQUE' 'CONDUCTION' 'CONS' 'CON1' ;
modph1 ='MODE' su1 'CHANGEMENT_PHASE' 'PARFAIT' 'INCO' 'T' 'Q' 'CONS' 'CHP1' ;
modph2 ='MODE' su1 'CHANGEMENT_PHASE' 'PARFAIT' 'INCO' 'T' 'Q' 'CONS' 'CHP2' ;
modph3 ='MODE' su1 'CHANGEMENT_PHASE' 'PARFAIT' 'INCO' 'T' 'Q' 'CONS' 'CHP3' ;
modtot = modph1 'ET' modph2 'ET' modph3 'ET' modth1;
rho1 = 4500. ;
cp1 = 900. ;
cd1 = rho1*cp1 ;
matth1 ='MATE' modth1 'C' cp1 'K' 50. 'RHO' rho1 ;
matph1 ='MATE' modph1 'PRIM' T_ch1 'DUAL' lat1 ;
matph2 ='MATE' modph2 'PRIM' T_ch2 'DUAL' lat2 ;
matph3 ='MATE' modph3 'PRIM' T_ch3 'DUAL' lat3 ;
mattot = matth1 'ET' matph1 'ET' matph2 'ET' matph3 ;
*************** Pas de temps "grossier" et fin ********************************
* Durée totale
TT1 = 1.2 ;
TT2 = 2.0 ;
dt1 = 0.1 ;
*
* pas de temps du début "grossier" jusqu'à Temps1 et ensuite fin jusqu'à Temps2 ;
*
Temps1 = 0.350e-3 ;
Temps2 = 0.378e-3 ;
Temps3 = 0.385e-3 ;
* pv: dt1 bricole a cause de difficulte de convergence
dt1 = dt1 * 2.;
listT = prog 0. 'PAS' dt1 TT1 'PAS' dt1 TT2;
n1 = DIME listT ;
K1 = 1.D0 ;
K2 =-1.D0 ;
EvS = EVOL MANU 'TEMP' (PROG 0. TT1 (TT1+1.D-12) TT2) 'SOUR' (PROG K1 K1 K2 K2);
'SI' GRAPH;
'DESS' EvS 'TITR' 'Evolution chargement';
'FINS';
T_ini ='MANU' 'CHPO' su1 1 'T' -20. 'NATURE' 'DIFFUS' ;
P_ini ='ZERO' modtot 'VARINTER' ;
'SI' GRAPH ;
'TRAC' su1 T_ini 'TITR' 'Temperature initiale' ;
'FINS';
* CHARGEMENT
srcth1 ='MANU' 'CHPO' ('MANU' 'POI1' P1) 1 'Q' 5.D4 ;
charth1 ='CHAR' 'Q' srcth1 EvS ;
chartot = charth1 ;
* PASAPAS
xtab = TABL ;
xtab.'TEMPERATURES' = table ;
xtab.'TEMPERATURES' . 0 = T_ini ;
*xtab.'CELSIUS' = VRAI ;
*xtab.'PROPORTIONS_PHASE' = TABL ;
*xtab.'PROPORTIONS_PHASE'. 0= P_ini ;
xtab.'MODELE' = modtot ;
xtab.'CARACTERISTIQUES' = mattot ;
xtab.'CHARGEMENT' = chartot ;
xtab.'TEMPS_CALCULES' = listT ;
*xtab.'PROCESSEURS' = 'MOT' 'MONO_PROCESSEUR' ;
PASAPAS xtab ;
* POST-TRAITEMENT
*'OPTI' 'EPTR' 10 ;
csu1 ='CONT' su1 ;
MCHLAT ='EXCO' mattot 'DUAL' 'PPHA' ;
NSAUV ='DIME' xtab.'TEMPERATURES' ;
LTEMP=VIDE 'LISTREEL' ;
LTPS =VIDE 'LISTREEL' ;
Pmoy1=VIDE 'LISTREEL' ;
Pmoy2=VIDE 'LISTREEL' ;
Pmoy3=VIDE 'LISTREEL' ;
LISOV=PROG 0. 'PAS' 0.01 3. ;
REPE SURI NSAUV;
II =&SURI ;
TPSi = xtab.'TEMPS' . (II-1) ;
TEMPi= xtab.'TEMPERATURES' . (II-1) ;
PROPi= xtab.'PROPORTIONS_PHASE'. (II-1) ;
TEMPi='EXCO' TEMPi 'T' 'T' ;
T1 ='EXTR' TEMPi 'T' PA ;
PMi1 ='INTG' modph1 PROPi ;
PMi2 ='INTG' modph2 PROPi ;
PMi3 ='INTG' modph3 PROPi ;
LTPS =LTPS 'ET' TPSi ;
LTEMP=LTEMP 'ET' T1 ;
Pmoy1=Pmoy1 'ET' PMi1 ;
Pmoy2=Pmoy2 'ET' PMi2 ;
Pmoy3=Pmoy3 'ET' PMi3 ;
PROP_SOMME =('REDU' PROPi modph1) + ('CHAN' ('REDU' PROPi modph2) 'CONS' 'CHP1') + ('CHAN' ('REDU' PROPi modph3) 'CONS' 'CHP1');
'TRAC' PROP_SOMME modph1 'TITR' ('CHAI' 'Proportion sommee :' TPSi 's') LISOV ;
'FIN' SURI;
EVO2 = 'EVOL' 'ROUG' 'MANU' 'Tps' LTPS 'TPA ' LTEMP ;
EVO3 =('EVOL' 'BLEU' 'MANU' 'Tps' LTPS 'PMO1' Pmoy1) 'ET'
('EVOL' 'BOUT' 'MANU' 'Tps' LTPS 'PMO2' Pmoy2) 'ET'
('EVOL' 'BRIQ' 'MANU' 'Tps' LTPS 'PMO3' Pmoy3) ;
'DESS' EVO2 ('CHAI' 'Temperature au point PA au cours du temps');
'DESS' EVO3 ('CHAI' 'Moyennes des proportions de phase au cours du temps');
* Bilan d'energie :
E_ext ='MAXI' ('RESU' ((K1*srcth1*TT1) + (K2*srcth1*(TT2-TT1)))) ;
E_reg ='INTG' modth1 ('CHAN' 'CHAM' modth1 (rho1 * cp1 * (TEMPi - T_ini))) ;
MCHLA1 ='REDU' modph1 MCHLAT ;
DELTA1 ='REDU' modph1 (PROPi - P_ini) ;
E_sing1='INTG' modph1 (MCHLA1 * DELTA1) 'PPHA' ;
MCHLA2 ='REDU' modph2 MCHLAT ;
DELTA2 ='REDU' modph2 (PROPi - P_ini) ;
E_sing2='INTG' modph2 (MCHLA2 * DELTA2) 'PPHA' ;
'SI'(E_ext 'NEG' 0.D0);
ERR1 =(E_ext - (E_reg + E_sing1 + E_sing2)) / E_ext ;
'SINO';
ERR1 = E_ext - (E_reg + E_sing1 + E_sing2) ;
'FINS';
CHAI1 ='CHAI' E_ext ' =?' (E_reg + E_sing1 + E_sing2) ' |' ERR1 ;
'MESS' CHAI1 ;
'SI' (('ABS' ERR1) >EG 1.D-14);
'ERRE' 5 ;
'FINS';
'FIN';
Exemples de jeux de données Cast3M (2024)
References
- https://chimix.net/an24/concours/pol231.html
- https://www-cast3m.cea.fr/index.php/en/html/Courspv/html/formations/html/presentation/html/Combescure/index.php?page=exemples&exemple=phase_01
- https://www-cast3m.cea.fr/index.php/html/Courspv/html/utilitaires/gedit/html/Theses_Cast3M/html/Combescure/html/Courspv/index.php?page=exemples&exemple=gatt_3d
- https://www.disserty.com/photo/532055/partiel-s-ecrypt-info-3-les-copies-des-transparents-et-notes-de-cours-et-d
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