TALK=T;RUN(1,1) PHOTON USE p;parphi 1 5 1 gr x 1 msg The grid. Z signifies time. Press RETURN for gas vol. fraction pause;gr off;red;gr ou x 1 msg the volume fraction of gas; press RETURN for pressure con gas x 1 fi;0.01;pause;con off;red msg the pressure; press RETURN for gas velocity con p1 x 1 fi;0.01;pause;con off;red msg the gas velocity; press RETURN for liquid velocity con av1 x 1 y 1 19 fi;0.01;pause;con off;red msg the liquid velocity con bv2 x 1 y 1 19 fi;0.01 enduse DISPLAY A vertical tube has a closed upper end and two nearby but separate apertures in the base. The tube is initially filled with water. Air is injected through one of the lower apertures, with the result that water is forced out through the other. The duration of the calculation is chosen so that all the water should just be expelled. Bubbles of air rise through the falling stream of water within the tube. The task is to calculate the variation with time of the profiles of pressure and other variables within the tube. PHOTON USE commands are supplied to enable the calculated results to be understood. Experiments of the above kind have been reported by S.Lo, in an Imperial College, London University PhD thesis dated 1985. ENDDIS DISPLAY Case 894 is similar to case 895; but the air supply is at the top of the pipe rather than at the bottom. Interestingly, convergence proves harder to obtain for this case, in which the air and water travel in the same direction, than in case 895, in which the flow directions were opposed. So heavier under-relaxation, and a larger number of sweeps, are employed. ENDDIS ************************************************************ Group 1. Run Title and Number ************************************************************ ************************************************************ TEXT(WATER DISPLACED BY AIR FROM ABOVE :W894) ************************************************************ ************************************************************ IRUNN = 1 ;LIBREF = 895 ************************************************************ Group 2. Time dependence STEADY = F * Set overall time and no. of steps TFIRST =0. ;TLAST =10. FSTEP = 1 ;LSTEP = 400 TFRAC(1)=2.5E-03 ;TFRAC(41)=0.1025 TFRAC(81)=0.2025 ;TFRAC(121)=0.3025 TFRAC(161)=0.4025 ;TFRAC(201)=0.5025 TFRAC(241)=0.6025 ;TFRAC(281)=0.7025 TFRAC(321)=0.8025 ;TFRAC(361)=0.9025 ************************************************************ Group 3. X-Direction Grid Spacing CARTES = T NX = 1 XULAST =1. XFRAC(1)=1. ************************************************************ Group 4. Y-Direction Grid Spacing NY = 20 YVLAST =1. YFRAC(1)=0.05 ;YFRAC(3)=0.15 YFRAC(5)=0.25 ;YFRAC(7)=0.35 YFRAC(9)=0.45 ;YFRAC(11)=0.55 YFRAC(13)=0.65 ;YFRAC(15)=0.75 YFRAC(17)=0.85 ;YFRAC(19)=0.95 ************************************************************ Group 5. Z-Direction Grid Spacing PARAB = F NZ = 1 ZWLAST =1. ZFRAC(1)=1. ************************************************************ Group 6. Body-Fitted Coordinates ************************************************************ Group 7. Variables: STOREd,SOLVEd,NAMEd ONEPHS = F EQUVEL = F NAME(1)=P1 ;NAME(5)=AV1 NAME(6)=BV2 ;NAME(9)=GAS NAME(10)=LIQ * Y in SOLUTN argument list denotes: * 1-stored 2-solved 3-whole-field * 4-point-by-point 5-explicit 6-harmonic averaging SOLUTN(P1,Y,Y,N,N,N,Y) SOLUTN(AV1,Y,Y,N,N,N,Y) SOLUTN(BV2,Y,Y,N,N,N,Y) SOLUTN(GAS,Y,Y,N,N,N,Y) SOLUTN(LIQ,Y,Y,N,N,N,Y) ************************************************************ Group 8. Terms & Devices * Y in TERMS argument list denotes: * 1-built-in source 2-convection 3-diffusion 4-transient * 5-first phase variable 6-interphase transport TERMS(P1,Y,Y,Y,N,Y,Y) TERMS(AV1,Y,Y,N,Y,Y,Y) TERMS(BV2,Y,Y,N,Y,N,Y) TERMS(GAS,Y,Y,N,Y,Y,Y) TERMS(LIQ,Y,Y,N,Y,N,Y) DIFCUT =0.5 ;ZDIFAC =1. GALA = F ;ADDDIF = F EQDVDP = F ISOLX = -1 ;ISOLY = -1 ;ISOLZ = -1 ************************************************************ Group 9. Properties used if PRPS is not stored, and where PRPS = -1.0 if it is! RHO1 =1. ;TMP1 =0. ;EL1 =0. TSURR =0. ;TEMP0 =0. ;PRESS0 =0. DVO1DT =0. ;DRH1DP =0. EMISS =0. ;SCATT =0. RADIA =0. ;RADIB =0. RHO2 =1000. ;TMP2 =0. ;EL2 =0. DVO2DT =0. ;DRH2DP =0. ENUL =1.0E-05 ;ENUT =0. PHINT(AV1)=-2.022E+04 ;PHINT(BV2)=-2.022E+04 PHINT(GAS)=-2.022E+04 ;PHINT(LIQ)=-2.022E+04 CP1 =1. ;CP2 =1. ************************************************************ Group 10.Inter-Phase Transfer Processes CFIPS =1.0E+04 RLOLIM =0. ;CMDOT =0. CINT(P1)=1. ;CINT(AV1)=1. CINT(BV2)=1. ;CINT(GAS)=1. CINT(LIQ)=1. PHINT(P1)=-2.022E+04 ;PHINT(AV1)=-2.022E+04 PHINT(BV2)=-2.022E+04 ;PHINT(GAS)=-2.022E+04 PHINT(LIQ)=-2.022E+04 ************************************************************ Group 11.Initial field variables (PHIs) FIINIT(P1)=1.0E-10 ;FIINIT(AV1)=1.0E-10 FIINIT(BV2)=1.0E-10 ;FIINIT(GAS)=1.0E-03 FIINIT(LIQ)=0.999 No PATCHes yet used for this Group INIADD = F FSWEEP = 1 NAMFI =CHAM ************************************************************ Group 12. Patchwise adjustment of terms Patches for this group are printed with those for Group 13. Their names begin either with GP12 or & ************************************************************ Group 13. Boundary & Special Sources PATCH(AIRIN ,NORTH , 1, 1, 20, 20, 1, 1, 1, 400) COVAL(AIRIN ,GAS , FIXFLU ,0.1 ) PATCH(OUTLET ,SOUTH , 1, 1, 1, 1, 1, 1, 1, 400) COVAL(OUTLET ,AV1 ,0. ,0. ) COVAL(OUTLET ,BV2 ,0. ,0. ) COVAL(OUTLET ,GAS ,1. ,0. ) COVAL(OUTLET ,LIQ ,1000. ,0. ) PATCH(GRAVTY ,PHASEM, 1, 1, 1, 20, 1, 1, 1, 400) COVAL(GRAVTY ,AV1 , FIXFLU ,-9.81 ) COVAL(GRAVTY ,BV2 , FIXFLU ,-9.81 ) XCYCLE = F EGWF = T WALLCO = GRND2 ************************************************************ Group 14. Downstream Pressure For PARAB ************************************************************ Group 15. Terminate Sweeps LSWEEP = 100 ;ISWC1 = 1 LITHYD = 1 ;LITFLX = 1 ;LITC = 1 ;ITHC1 = 1 ISWR1 = 1 ;ISWR2 = 10000 SELREF = T RESFAC =1.0E-06 ************************************************************ Group 16. Terminate Iterations LITER(P1)=20 ;LITER(AV1)=10 LITER(BV2)=10 ;LITER(GAS)=1 LITER(LIQ)=1 ENDIT(P1)=1.0E-03 ;ENDIT(AV1)=1.0E-03 ENDIT(BV2)=1.0E-03 ;ENDIT(GAS)=1.0E-03 ENDIT(LIQ)=1.0E-03 ************************************************************ Group 17. Relaxation RELAX(P1,LINRLX,1.) RELAX(AV1,FALSDT,1.) RELAX(BV2,FALSDT,1.) RELAX(GAS,LINRLX,0.1) RELAX(LIQ,LINRLX,0.1) OVRRLX =0. EXPERT = F ;NNORSL = F ************************************************************ Group 18. Limits VARMAX(P1)=1.0E+10 ;VARMIN(P1)=-1.0E+10 VARMAX(AV1)=1.0E+06 ;VARMIN(AV1)=-1.0E+06 VARMAX(BV2)=1.0E+06 ;VARMIN(BV2)=-1.0E+06 VARMAX(GAS)=1. ;VARMIN(GAS)=1.0E-06 VARMAX(LIQ)=1. ;VARMIN(LIQ)=1.0E-06 ************************************************************ Group 19. Data transmitted to GROUND PARSOL = F ISG62 = 1 SPEDAT(SET,GXMONI,TRANSIENT,L,F) SPEDAT(SET,GXMONI,PLOTALL,L,T) ************************************************************ Group 20. Preliminary Printout ************************************************************ Group 21. Print-out of Variables INIFLD = F ;SUBWGR = F * Y in OUTPUT argument list denotes: * 1-field 2-correction-eq. monitor 3-selective dumping * 4-whole-field residual 5-spot-value table 6-residual table OUTPUT(P1,Y,N,Y,Y,Y,Y) OUTPUT(AV1,Y,N,Y,Y,Y,Y) OUTPUT(BV2,Y,N,Y,Y,Y,Y) OUTPUT(GAS,Y,N,Y,Y,Y,Y) OUTPUT(LIQ,Y,N,Y,Y,Y,Y) ************************************************************ Group 22. Monitor Print-Out IXMON = 1 ;IYMON = 19 ;IZMON = 1 NPRMON = 100000 ;NPRMNT = 1 ;TSTSWP = 99 UWATCH = T ;USTEER = T HIGHLO = F ************************************************************ Group 23.Field Print-Out & Plot Control NPRINT = 10 ;NUMCLS = 5 NTPRIN = 40 ;ISTPRF = 1 ;ISTPRL = 100000 NYPRIN = 2 ;IYPRF = 1 ;IYPRL = 10000 IPLTF = 1 ;IPLTL = -1 ;NPLT = -1 ISWPRF = 1 ;ISWPRL = 100000 ITABL = 3 ;IPROF = 1 ABSIZ =0.5 ;ORSIZ =0.4 NTZPRF = 1 ;NCOLPF = 50 ICHR = 2 ;NCOLCO = 45 ;NROWCO = 20 PATCH(LONGPLOT,PROFIL, 1, 1, 1, 20, 1, 1, 1, 400) PLOT(LONGPLOT,LIQ ,0. ,0. ) PATCH(TIMEPLOT,PROFIL, 1, 1, 15, 15, 1, 1, 1, 400) PLOT(TIMEPLOT,AV1 ,-1. ,-1. ) PLOT(TIMEPLOT,BV2 ,-1. ,-1. ) PLOT(TIMEPLOT,GAS ,0. ,0. ) ************************************************************ Group 24. Dumps For Restarts SAVE = T ;NOWIPE = F NSAVE =CHAM IDISPA = 20 ;IDISPB = 0 ;IDISPC = 0 STOP