TALK=T;RUN(1,1) AUTOPLOT USE file phi 5 da 1 1u screen msg 1st-phase (gas) velocity at t=1s pl 1 msg pressto continue pause cl da 1 2u screen msg 2nd-phase (liquid) velocity at t=1s pl 1 msg press to continue pause cl da 1 gas screen msg 1st-phase (gas) volume fraction at t=1s pl 1 msg press to continue pause cl da 1 liq screen msg 2nd-phase (liquid) volume fraction at t=1s pl 1 msg press to continue pause cl da 1 p1 screen msg pressure at t=1s pl 1 msg press e to END enduse DISPLAY NUMERICAL BENCHMARK PROBLEM 2.7: STRATIFIED FLOW A horizontal duct is divided into two equal-length parts by a diaphragm, each of which contains both water and air, the former lying below the latter. The depth of the water is somewhat greater on the left of the diaphragm than it is on the right. The diaphragm is supposed suddenly to break; the task is then to calculate what happens during the next few seconds, during which the water and air are set in motion, in opposite direction, as gravity waves travel from the diaphragm-rupture point towards the two ends. Two cases are to be considered, differing in respect of the postulated cross-section of the duct. In case 1 it is square, whereas in case 2 it is circular. _________________________________________________ i :--->diaphragm i i : i i------------------------: i i = = = = = = : i i = = = = :-----------------------i i = = water = : air i i = = = = = : i _________________________________________________ | | | |<------- 5 m ---------->| | |<---------------- 10 m ------------------------>| ENDDIS ************************************************************ Group 1. Run Title and Number ************************************************************ ************************************************************ TEXT(STRATIFIED FLOW, CASE 1 CHANNEL : W900) ************************************************************ ************************************************************ IRUNN = 1 ;LIBREF = 14 ************************************************************ Group 2. Time dependence STEADY = F * Set overall time and no. of steps TFIRST =0. ;TLAST =1. FSTEP = 1 ;LSTEP = 100 Method of pairs used for grid setting. TFRAC(2)=1.0E-02 ************************************************************ Group 3. X-Direction Grid Spacing CARTES = T NX = 100 XULAST =10. XFRAC(1)=1.0E-02 ;XFRAC(6)=0.06 XFRAC(11)=0.11 ;XFRAC(16)=0.16 XFRAC(21)=0.21 ;XFRAC(26)=0.26 XFRAC(31)=0.31 ;XFRAC(36)=0.36 XFRAC(41)=0.41 ;XFRAC(46)=0.46 XFRAC(51)=0.51 ;XFRAC(56)=0.56 XFRAC(61)=0.61 ;XFRAC(66)=0.66 XFRAC(71)=0.71 ;XFRAC(76)=0.76 XFRAC(81)=0.81 ;XFRAC(86)=0.86 XFRAC(91)=0.91 ;XFRAC(96)=0.96 ************************************************************ Group 4. Y-Direction Grid Spacing NY = 1 YVLAST =1. YFRAC(1)=1. ************************************************************ 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(3)=1U NAME(4)=2U ;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(1U,Y,Y,N,N,N,Y) SOLUTN(2U,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(1U,Y,Y,N,Y,Y,Y) TERMS(2U,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(1U)=-2.022E+04 ;PHINT(2U)=-2.022E+04 PHINT(GAS)=-2.022E+04 ;PHINT(LIQ)=-2.022E+04 CP1 =1. ;CP2 =1. ************************************************************ Group 10.Inter-Phase Transfer Processes CFIPS =0. ************************************************************ Group 11.Initial field variables (PHIs) FIINIT(P1)=1.0E-10 ;FIINIT(1U)=0. FIINIT(2U)=0. ;FIINIT(GAS)=0.49 FIINIT(LIQ)=0.51 PATCH(START ,INIVAL, 51, 100, 1, 1, 1, 1, 1, 1) INIT(START ,GAS ,0. ,0.02 ) INIT(START ,LIQ ,0. ,-0.02 ) INIADD = T 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(RELIEF ,CELL , 50, 50, 1, 1, 1, 1, 1, 100) COVAL(RELIEF ,GAS ,1. ,0. ) PATCH(LATG ,RGRAD , 1, 100, 1, 1, 1, 1, 1, 100) COVAL(LATG ,2U ,0. ,9800.19043 ) XCYCLE = F EGWF = T WALLCO = GRND2 ************************************************************ Group 14. Downstream Pressure For PARAB ************************************************************ Group 15. Terminate Sweeps LSWEEP = 30 ;ISWC1 = 1 LITHYD = 1 ;LITFLX = 1 ;LITC = 1 ;ITHC1 = 1 ISWR1 = 1 ;ISWR2 = 10000 SELREF = T RESFAC =1.0E-05 ************************************************************ Group 16. Terminate Iterations LITER(P1)=20 ;LITER(1U)=10 LITER(2U)=10 ;LITER(GAS)=1 LITER(LIQ)=1 ENDIT(P1)=1.0E-03 ;ENDIT(1U)=1.0E-03 ENDIT(2U)=1.0E-03 ;ENDIT(GAS)=1.0E-03 ENDIT(LIQ)=1.0E-03 ************************************************************ Group 17. Relaxation RELAX(P1,LINRLX,1.) RELAX(1U,FALSDT,1.0E-02) RELAX(2U,FALSDT,1.0E-02) RELAX(GAS,LINRLX,0.3) RELAX(LIQ,LINRLX,0.3) OVRRLX =0. EXPERT = F ;NNORSL = F ************************************************************ Group 18. Limits VARMAX(P1)=1.0E+10 ;VARMIN(P1)=-1.0E+10 VARMAX(1U)=1.0E+06 ;VARMIN(1U)=-1.0E+06 VARMAX(2U)=1.0E+06 ;VARMIN(2U)=-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(1U,Y,N,Y,Y,Y,Y) OUTPUT(2U,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 = 51 ;IYMON = 1 ;IZMON = 1 NPRMON = 100000 ;NPRMNT = 1 ;TSTSWP = -1 UWATCH = T ;USTEER = T HIGHLO = F ************************************************************ Group 23.Field Print-Out & Plot Control NPRINT = 100000 ;NUMCLS = 5 NTPRIN = 50 ;ISTPRF = 1 ;ISTPRL = 100000 NXPRIN = 5 ;IXPRF = 1 ;IXPRL = 10000 IPLTF = 1 ;IPLTL = 30 ;NPLT = 1 ISWPRF = 1 ;ISWPRL = 100000 ITABL = 1 ;IPROF = 1 ABSIZ =0.5 ;ORSIZ =0.4 NTZPRF = 1 ;NCOLPF = 50 ICHR = 2 ;NCOLCO = 45 ;NROWCO = 20 PATCH(LONGPLOT,PROFIL, 1, 100, 1, 1, 1, 1, 1, 100) PLOT(LONGPLOT,1U ,-1. ,-1. ) PLOT(LONGPLOT,2U ,-1. ,-1. ) PLOT(LONGPLOT,LIQ ,0. ,0. ) PATCH(TIMEPLOT,PROFIL, 25, 25, 1, 1, 1, 1, 1, 100) PLOT(TIMEPLOT,1U ,-1. ,-1. ) PLOT(TIMEPLOT,2U ,-1. ,-1. ) PLOT(TIMEPLOT,LIQ ,0. ,0. ) ************************************************************ Group 24. Dumps For Restarts SAVE = T ;NOWIPE = F NSAVE =CHAM STOP