TALK=T;RUN(1,1)
  DISPLAY
    The case considered is the bubble column studied experimentally
    by Hills [Instn.Chem.Engrs., Vol.52, p1, 1974], which has a
    diameter of 0.138m and a height of 1.37m. The column is
    initially filled with water, and air enters uniformly at the
    bottom with a superficial velocity of 0.038m/s. After about 25s
    steady-state conditions are obtained in which clockwise liquid
    circulation is observed, with upflow at the column centre and
    downflow at the outer wall. The task is to predict the gas
    holdup in the column, and to compare the predicted void-fraction
    and vertical liquid-velocity radial profiles at z=0.6m(i.e IZ=9)
    with the measurements. The calculation may be performed with one
    of 3 turbulence models, i.e. the Petersen SGS model, the Rice-
    Geary model, or a modified k-e model which accounts for bubble-
    induced turbulence production. The two-phase model accounts for
    interfacial drag, lift, pressure and virtual-mass forces.
  ENDDIS
 ************************************************************
  Group 1. Run Title and Number
 ************************************************************
 ************************************************************
 
 TEXT(2D 2-PHASE HILLS BUBBLE COLUMN          )
 
 ************************************************************
 ************************************************************
 
 IRUNN = 1 ;LIBREF = 14
 ************************************************************
  Group 2. Time dependence
 STEADY = F
    * Set overall time and no. of steps
 TFIRST =0. ;TLAST =0.25
 FSTEP = 1 ;LSTEP = 5
 TFRAC(1)=0.2 ;TFRAC(2)=0.4
 TFRAC(3)=0.6 ;TFRAC(4)=0.8
 TFRAC(5)=1.
 ************************************************************
  Group 3. X-Direction Grid Spacing
 CARTES = F
 NX = 1
 XULAST =0.1
 XFRAC(1)=1.
 ************************************************************
  Group 4. Y-Direction Grid Spacing
 NY = 10
 YVLAST =0.069
 YFRAC(1)=0.1 ;YFRAC(2)=0.2
 YFRAC(3)=0.3 ;YFRAC(4)=0.4
 YFRAC(5)=0.5 ;YFRAC(6)=0.6
 YFRAC(7)=0.7 ;YFRAC(8)=0.8
 YFRAC(9)=0.9 ;YFRAC(10)=1.
 ************************************************************
  Group 5. Z-Direction Grid Spacing
 PARAB = F
 NZ = 20
 ZWLAST =1.37
 ZFRAC(1)=0.019905 ;ZFRAC(2)=0.052531
 ZFRAC(3)=0.09267 ;ZFRAC(4)=0.138629
 ZFRAC(5)=0.189465 ;ZFRAC(6)=0.244558
 ZFRAC(7)=0.303464 ;ZFRAC(8)=0.365844
 ZFRAC(9)=0.431429 ;ZFRAC(10)=0.5
 ZFRAC(11)=0.568571 ;ZFRAC(12)=0.634156
 ZFRAC(13)=0.696536 ;ZFRAC(14)=0.755442
 ZFRAC(15)=0.810535 ;ZFRAC(16)=0.861371
 ZFRAC(17)=0.90733 ;ZFRAC(18)=0.947469
 ZFRAC(19)=0.980095 ;ZFRAC(20)=1.
 ************************************************************
  Group 6. Body-Fitted Coordinates
 ************************************************************
  Group 7. Variables: STOREd,SOLVEd,NAMEd
 ONEPHS = F
 EQUVEL = F
 NAME(1)=P1 ;NAME(5)=V1
 NAME(6)=V2 ;NAME(7)=W1
 NAME(8)=W2 ;NAME(9)=R1
 NAME(10)=R2 ;NAME(12)=KE
 NAME(13)=EP ;NAME(138)=IPSW
 NAME(139)=IPSV ;NAME(140)=LISW
 NAME(141)=LISV ;NAME(142)=VMSV
 NAME(143)=VMSW ;NAME(144)=WEB
 NAME(145)=REYN ;NAME(146)=CD
 NAME(147)=LEN1 ;NAME(148)=ENUT
 NAME(149)=CFIP ;NAME(150)=VREL
    * 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,Y,N,N,Y)
 SOLUTN(V1,Y,Y,N,N,N,N)
 SOLUTN(V2,Y,Y,N,N,N,N)
 SOLUTN(W1,Y,Y,N,N,N,N)
 SOLUTN(W2,Y,Y,N,N,N,N)
 SOLUTN(R1,Y,Y,N,N,N,N)
 SOLUTN(R2,Y,Y,N,N,N,N)
 SOLUTN(KE,Y,Y,N,N,N,N)
 SOLUTN(EP,Y,Y,N,N,N,N)
 SOLUTN(IPSW,Y,N,N,N,N,N)
 SOLUTN(IPSV,Y,N,N,N,N,N)
 SOLUTN(LISW,Y,N,N,N,N,N)
 SOLUTN(LISV,Y,N,N,N,N,N)
 SOLUTN(VMSV,Y,N,N,N,N,Y)
 SOLUTN(VMSW,Y,N,N,N,N,Y)
 SOLUTN(WEB,Y,N,N,N,N,Y)
 SOLUTN(REYN,Y,N,N,N,N,Y)
 SOLUTN(CD,Y,N,N,N,N,Y)
 SOLUTN(LEN1,Y,N,N,N,N,Y)
 SOLUTN(ENUT,Y,N,N,N,N,Y)
 SOLUTN(CFIP,Y,N,N,N,N,Y)
 SOLUTN(VREL,Y,N,N,N,N,Y)
 VIST = 148
 LEN1 = 147
 ************************************************************
  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(V1,Y,Y,Y,Y,Y,Y)
 TERMS(V2,Y,Y,Y,Y,N,Y)
 TERMS(W1,Y,Y,Y,Y,Y,Y)
 TERMS(W2,Y,Y,Y,Y,N,Y)
 TERMS(R1,Y,Y,Y,Y,Y,Y)
 TERMS(R2,Y,Y,Y,Y,N,Y)
 TERMS(KE,N,Y,Y,Y,Y,N)
 TERMS(EP,N,Y,Y,Y,Y,N)
 DIFCUT =0.5 ;ZDIFAC =1.
 GALA = F ;ADDDIF = F
 NEWENT = T
 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 =1000. ;TMP1 =0.
 EL1 = GRND4
 TSURR =0. ;TEMP0 =0.
 PRESS0 =0.
 DVO1DT =0. ;DRH1DP =0.
 EMISS =0. ;SCATT =0.
 RADIA =0. ;RADIB =0.
 EL1A =1.0E-02 ;EL1B =0.
 EL1C =0.
 RHO2 =1.23 ;TMP2 =0.
 EL2 =0.
 DVO2DT =0. ;DRH2DP =0.
 ENUL =1.0E-06 ;ENUT = GRND3
 ENUTA =0. ;ENUTB =0.
 ENUTC =0.
 IENUTA = 0
 PHINT(V1)=-2.022E+04 ;PHINT(V2)=-2.022E+04
 PHINT(W1)=-2.022E+04 ;PHINT(W2)=-2.022E+04
 PHINT(R1)=-2.022E+04 ;PHINT(R2)=-2.022E+04
 PRNDTL(V1)=1. ;PRNDTL(V2)=1.
 PRNDTL(W1)=1. ;PRNDTL(W2)=1.
 PRNDTL(R1)=1. ;PRNDTL(R2)=1.
 PRNDTL(KE)=1. ;PRNDTL(EP)=1.
 PRT(V1)=1. ;PRT(V2)=1.
 PRT(W1)=1. ;PRT(W2)=1.
 PRT(R1)=0.75 ;PRT(R2)=0.75
 PRT(KE)=1. ;PRT(EP)=1.314
 CP1 =1. ;CP2 =1.
 ************************************************************
  Group 10.Inter-Phase Transfer Processes
 CFIPS = GRND7
 RLOLIM =1.0E-03 ;CMDOT =0.
 CFIPA =1.0E-04 ;CFIPB =7.61E-03
 CFIPC =0.072 ;CFIPD =4.
 CINT(P1)=1. ;CINT(V1)=1.
 CINT(V2)=1. ;CINT(W1)=1.
 CINT(W2)=1. ;CINT(R1)=1.
 CINT(R2)=1.
 PHINT(P1)=-2.022E+04 ;PHINT(V1)=-2.022E+04
 PHINT(V2)=-2.022E+04 ;PHINT(W1)=-2.022E+04
 PHINT(W2)=-2.022E+04 ;PHINT(R1)=-2.022E+04
 PHINT(R2)=-2.022E+04
 ************************************************************
  Group 11.Initial field variables (PHIs)
 FIINIT(P1)=1.0E-10 ;FIINIT(V1)=1.0E-10
 FIINIT(V2)=1.0E-10 ;FIINIT(W1)=1.0E-10
 FIINIT(W2)=1.0E-10 ;FIINIT(R1)=0.9999
 FIINIT(R2)=1.0E-04 ;FIINIT(KE)=3.61E-06
 FIINIT(EP)=1.633237E-07 ;FIINIT(IPSW)=1.0E-10
 FIINIT(IPSV)=1.0E-10 ;FIINIT(LISW)=1.0E-10
 FIINIT(LISV)=1.0E-10 ;FIINIT(VMSV)=1.0E-10
 FIINIT(VMSW)=1.0E-10 ;FIINIT(WEB)=1.0E-10
 FIINIT(REYN)=1.0E-10 ;FIINIT(CD)=1.0E-10
 FIINIT(LEN1)=1.0E-10 ;FIINIT(ENUT)=1.0E-10
 FIINIT(CFIP)=1.0E-10 ;FIINIT(VREL)=1.0E-10
   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(KESOURCE,PHASEM, 0, 0, 0, 0, 0, 0, 1, 5)
 COVAL(KESOURCE,KE , GRND4 , GRND4 )
 COVAL(KESOURCE,EP , GRND4 , GRND4 )
 
 PATCH(LIFT ,CELL , 0, 0, 0, 0, 0, 0, 1, 5)
 COVAL(LIFT ,V1 ,1.0E-20 , GRND4 )
 COVAL(LIFT ,V2 ,1.0E-20 , GRND4 )
 COVAL(LIFT ,W1 ,1.0E-20 , GRND4 )
 COVAL(LIFT ,W2 ,1.0E-20 , GRND4 )
 
 PATCH(INTPL ,CELL , 0, 0, 0, 0, 0, 0, 1, 5)
 COVAL(INTPL ,V1 ,1.0E-20 , GRND4 )
 COVAL(INTPL ,V2 ,1.0E-20 , GRND4 )
 COVAL(INTPL ,W1 ,1.0E-20 , GRND4 )
 COVAL(INTPL ,W2 ,1.0E-20 , GRND4 )
 
 PATCH(IN ,LOW , 1, 1, 1, 10, 1, 1, 1, 5)
 COVAL(IN ,W2 ,0. ,0.038 )
 COVAL(IN ,R2 , FIXFLU ,0.04674 )
 
 PATCH(OUTG ,HIGH , 1, 1, 1, 10, 20, 20, 1, 5)
 COVAL(OUTG ,R2 ,1.23E+10 ,0. )
 
 PATCH(OUTL ,HIGH , 1, 1, 10, 10, 20, 20, 1, 5)
 COVAL(OUTL ,R1 ,1000. ,0. )
 
 PATCH(GRAVITY ,PHASEM, 1, 1, 1, 10, 1, 20, 1, 5)
 COVAL(GRAVITY ,W2 , FIXFLU ,7965.799805 )
 
 PATCH(NWALL ,NWALL , 1, 1, 10, 10, 1, 20, 1, 5)
 COVAL(NWALL ,W1 , GRND2 ,0. )
 COVAL(NWALL ,KE , GRND2 , GRND2 )
 COVAL(NWALL ,EP , GRND2 , GRND2 )
 
 PATCH(KEDI ,CELL , 1, 1, 1, 10, 1, 20, 1, 5)
 COVAL(KEDI ,KE , FIXFLU , GRND3 )
 COVAL(KEDI ,EP , FIXFLU , GRND3 )
 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-02
 ************************************************************
  Group 16. Terminate Iterations
 LITER(P1)=30 ;LITER(V1)=10
 LITER(V2)=10 ;LITER(W1)=10
 LITER(W2)=10 ;LITER(R1)=1
 LITER(R2)=1 ;LITER(KE)=20
 LITER(EP)=20
 ENDIT(P1)=1.0E-03 ;ENDIT(V1)=1.0E-03
 ENDIT(V2)=1.0E-03 ;ENDIT(W1)=1.0E-03
 ENDIT(W2)=1.0E-03 ;ENDIT(R1)=1.0E-03
 ENDIT(R2)=1.0E-03 ;ENDIT(KE)=1.0E-03
 ENDIT(EP)=1.0E-03
 ************************************************************
  Group 17. Relaxation
 RELAX(P1,LINRLX,1.)
 RELAX(V1,FALSDT,0.05)
 RELAX(V2,FALSDT,0.05)
 RELAX(W1,FALSDT,0.05)
 RELAX(W2,FALSDT,0.05)
 RELAX(R1,LINRLX,0.4)
 RELAX(R2,LINRLX,0.4)
 RELAX(KE,LINRLX,0.3)
 RELAX(EP,LINRLX,0.3)
 RELAX(IPSW,LINRLX,0.1)
 RELAX(IPSV,LINRLX,0.1)
 RELAX(LISW,LINRLX,0.1)
 RELAX(LISV,LINRLX,0.1)
 RELAX(VMSV,LINRLX,1.)
 RELAX(VMSW,LINRLX,1.)
 RELAX(WEB,LINRLX,1.)
 RELAX(REYN,LINRLX,1.)
 RELAX(CD,LINRLX,1.)
 RELAX(LEN1,LINRLX,1.)
 RELAX(ENUT,LINRLX,1.)
 RELAX(CFIP,LINRLX,0.3)
 RELAX(VREL,LINRLX,1.)
 KELIN = 1
 OVRRLX =0.
 EXPERT = F ;NNORSL = F
 ************************************************************
  Group 18. Limits
 VARMAX(P1)=1.0E+10 ;VARMIN(P1)=-1.0E+10
 VARMAX(V1)=1.0E+06 ;VARMIN(V1)=-1.0E+06
 VARMAX(V2)=1.0E+06 ;VARMIN(V2)=-1.0E+06
 VARMAX(W1)=1.0E+06 ;VARMIN(W1)=-1.0E+06
 VARMAX(W2)=1.0E+06 ;VARMIN(W2)=-1.0E+06
 VARMAX(R1)=1. ;VARMIN(R1)=1.0E-12
 VARMAX(R2)=1. ;VARMIN(R2)=1.0E-12
 VARMAX(KE)=1.0E+10 ;VARMIN(KE)=1.0E-10
 VARMAX(EP)=1.0E+10 ;VARMIN(EP)=1.0E-10
 VARMAX(IPSW)=1.0E+10 ;VARMIN(IPSW)=-1.0E+10
 VARMAX(IPSV)=1.0E+10 ;VARMIN(IPSV)=-1.0E+10
 VARMAX(LISW)=1.0E+10 ;VARMIN(LISW)=-1.0E+10
 VARMAX(LISV)=1.0E+10 ;VARMIN(LISV)=-1.0E+10
 VARMAX(VMSV)=1.0E+10 ;VARMIN(VMSV)=-1.0E+10
 VARMAX(VMSW)=1.0E+10 ;VARMIN(VMSW)=-1.0E+10
 VARMAX(WEB)=1.0E+10 ;VARMIN(WEB)=-1.0E+10
 VARMAX(REYN)=1.0E+10 ;VARMIN(REYN)=-1.0E+10
 VARMAX(CD)=1.0E+10 ;VARMIN(CD)=-1.0E+10
 VARMAX(LEN1)=1.0E+10 ;VARMIN(LEN1)=-1.0E+10
 VARMAX(ENUT)=1.0E+10 ;VARMIN(ENUT)=-1.0E+10
 VARMAX(CFIP)=1.0E+10 ;VARMIN(CFIP)=-1.0E+10
 VARMAX(VREL)=1.0E+10 ;VARMIN(VREL)=-1.0E+10
 ************************************************************
  Group 19. Data transmitted to GROUND
 GENK = T
 PARSOL = F
 ISG62 = 1
 CVM = GRND2
 CVMA =0.5
 CPIP = GRND2
 CPIPA =0.25
 CLIFT = GRND2
 CLIFTA =-0.5
 SPEDAT(SET,GXMONI,TRANSIENT,L,F)
 ************************************************************
  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(V1,Y,N,Y,Y,Y,Y)
 OUTPUT(V2,Y,N,Y,Y,Y,Y)
 OUTPUT(W1,Y,N,Y,Y,Y,Y)
 OUTPUT(W2,Y,N,Y,Y,Y,Y)
 OUTPUT(R1,Y,N,Y,Y,Y,Y)
 OUTPUT(R2,Y,N,Y,Y,Y,Y)
 OUTPUT(KE,Y,N,Y,Y,Y,Y)
 OUTPUT(EP,Y,N,Y,Y,Y,Y)
 OUTPUT(IPSW,N,N,N,N,N,N)
 OUTPUT(IPSV,N,N,N,N,N,N)
 OUTPUT(LISW,N,N,N,N,N,N)
 OUTPUT(LISV,N,N,N,N,N,N)
 OUTPUT(VMSV,N,N,Y,N,N,N)
 OUTPUT(VMSW,N,N,Y,N,N,N)
 OUTPUT(WEB,Y,N,Y,N,N,N)
 OUTPUT(REYN,Y,N,Y,N,N,N)
 OUTPUT(CD,Y,N,Y,N,N,N)
 OUTPUT(LEN1,Y,N,Y,N,N,N)
 OUTPUT(ENUT,Y,N,Y,N,N,N)
 OUTPUT(CFIP,Y,N,Y,N,N,N)
 OUTPUT(VREL,Y,N,Y,N,N,N)
 ************************************************************
  Group 22. Monitor Print-Out
 IXMON = 1 ;IYMON = 1 ;IZMON = 9
 NPRMON = 100000 ;NPRMNT = 1 ;TSTSWP = -10
 UWATCH = T ;USTEER = T
 HIGHLO = F
 ************************************************************
  Group 23.Field Print-Out & Plot Control
 NPRINT = 100 ;NUMCLS = 5
 NTPRIN = 1 ;ISTPRF = 1 ;ISTPRL = 100000
 NYPRIN = 1 ;IYPRF = 1 ;IYPRL = 10000
 NZPRIN = 1 ;IZPRF = 11 ;IZPRL = 10000
 XZPR = F ;YZPR = F
 IPLTF = 1 ;IPLTL = -1 ;NPLT = 10
 ISWPRF = 1 ;ISWPRL = 100000
 ITABL = 3 ;IPROF = 1
 ABSIZ =0.5 ;ORSIZ =0.4
 NTZPRF = 1 ;NCOLPF = 50
 ICHR = 2 ;NCOLCO = 45 ;NROWCO = 20
   No PATCHes yet used for this Group
 ************************************************************
  Group 24. Dumps For Restarts
 SAVE = T ;NOWIPE = F
 NSAVE =CHAM
 IDISPA = 1 ;IDISPB = 0 ;IDISPC = 0
 CSG1    ='H'
STOP