TALK=T;RUN(1,1)
DISPLAY
Turbulent buoyancy-driven air flow in a tall rectangular
cavity of 5:1 aspect ratio with a Rayleigh number of 4.E10 is
calculated using a buoyancy-extended low-Reynolds-number k-e
and k-w models. The vertical walls are isothermal with a
temperature difference of 45.8 degC; the horizontal walls are
adiabatic.
This problem has been studied experimentally by Cheesewright
et al (1986) and numerically by Davidson (1990) and Peng &
Davidson (1999). The primary objective is to compute the
Nusselt number distribution along the hot and cold walls, and
the overall Nusselt number. The calculation may be performed
with or without the Boussinesq approximation, and the dynamic
laminar viscosity is computed from Sutherland's formula. For
the Boussinesq approximation, a uniform density and thermal
conductivity are employed in the simulations.
The main result is the average Nusselt number, and the table
below compares the predicted values with the value deduced
from the measurements:
Data LB KW-R KW-SST
Nu,av 160 154 160 153
All of the models produce good agreement with the measured
value.
ENDDIS
************************************************************
Group 1. Run Title and Number
************************************************************
************************************************************
TEXT(2D Turb. Buoyant Cavity Flow K-E:T219 )
************************************************************
************************************************************
IRUNN = 1 ;LIBREF = 14
************************************************************
Group 2. Time dependence
STEADY = T
************************************************************
Group 3. X-Direction Grid Spacing
CARTES = T
NX = 56
XULAST =1.
XFRAC(1)=1.294613E-04 ;XFRAC(12)=8.553162E-03
XFRAC(23)=0.111097 ;XFRAC(34)=0.409077
XFRAC(45)=0.493412 ;XFRAC(56)=0.5
************************************************************
Group 4. Y-Direction Grid Spacing
NY = 56
YVLAST =1.
YFRAC(1)=6.473064E-04 ;YFRAC(12)=0.042766
YFRAC(23)=0.555485 ;YFRAC(34)=2.045386
YFRAC(45)=2.467059 ;YFRAC(56)=2.5
************************************************************
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 = T
NAME(1)=P1 ;NAME(3)=U1
NAME(5)=V1 ;NAME(12)=KE
NAME(13)=EP ;NAME(127)=C3EB
NAME(128)=GENB ;NAME(129)=V1N
NAME(130)=U1N ;NAME(131)=TNO
NAME(132)=NUC ;NAME(133)=NUH
NAME(134)=HTC ;NAME(135)=HTH
NAME(136)=QC ;NAME(137)=QH
NAME(138)=DWAL ;NAME(139)=LEN1
NAME(140)=YPLS ;NAME(141)=ENUL
NAME(142)=ENUT ;NAME(143)=KOND
NAME(144)=DEN1 ;NAME(145)=TREY
NAME(146)=REYN ;NAME(147)=LTLS
NAME(148)=WDIS ;NAME(149)=EPKE
NAME(150)=TEM1
* 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(U1,Y,Y,N,N,N,Y)
SOLUTN(V1,Y,Y,N,N,N,Y)
SOLUTN(KE,Y,Y,N,N,N,N)
SOLUTN(EP,Y,Y,N,N,N,N)
SOLUTN(C3EB,Y,N,N,N,N,Y)
SOLUTN(GENB,Y,N,N,N,N,Y)
SOLUTN(V1N,Y,N,N,N,N,Y)
SOLUTN(U1N,Y,N,N,N,N,Y)
SOLUTN(TNO,Y,N,N,N,N,Y)
SOLUTN(NUC,Y,N,N,N,N,Y)
SOLUTN(NUH,Y,N,N,N,N,Y)
SOLUTN(HTC,Y,N,N,N,N,Y)
SOLUTN(HTH,Y,N,N,N,N,Y)
SOLUTN(QC,Y,N,N,N,N,Y)
SOLUTN(QH,Y,N,N,N,N,Y)
SOLUTN(DWAL,Y,N,N,N,N,Y)
SOLUTN(LEN1,Y,N,N,N,N,Y)
SOLUTN(YPLS,Y,N,N,N,N,Y)
SOLUTN(ENUL,Y,N,N,N,N,Y)
SOLUTN(ENUT,Y,N,N,N,N,Y)
SOLUTN(KOND,Y,N,N,N,N,Y)
SOLUTN(DEN1,Y,N,N,N,N,Y)
SOLUTN(TREY,Y,N,N,N,N,Y)
SOLUTN(REYN,Y,N,N,N,N,Y)
SOLUTN(LTLS,Y,Y,Y,N,N,Y)
SOLUTN(WDIS,Y,N,N,N,N,N)
SOLUTN(EPKE,Y,N,N,N,N,N)
SOLUTN(TEM1,Y,Y,N,N,N,Y)
DEN1 = 144
VISL = 141
VIST = 142
LEN1 = 139
************************************************************
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(U1,Y,Y,Y,Y,Y,Y)
TERMS(V1,Y,Y,Y,Y,Y,Y)
TERMS(KE,N,Y,Y,Y,Y,N)
TERMS(EP,N,Y,Y,Y,Y,N)
TERMS(LTLS,N,N,Y,N,Y,Y)
TERMS(TEM1,N,Y,Y,Y,Y,Y)
DIFCUT =0.5 ;ZDIFAC =1.
GALA = F ;ADDDIF = F
NEWRH1 = T
NEWENL = T
NEWENT = T
ISOLX = -1 ;ISOLY = -1 ;ISOLZ = -1
DENPCO = T
************************************************************
Group 9. Properties used if PRPS is not
stored, and where PRPS = -1.0 if it is!
RHO1 = GRND10 ;TMP1 =0. ;EL1 = GRND4
TSURR =0. ;TEMP0 =0. ;PRESS0 =0.
DVO1DT =1.070903 ;DRH1DP =0.
RHO1A =0. ;RHO1B =2.828814E-03 ;RHO1C =0.
EMISS =0. ;SCATT =0.
RADIA =0. ;RADIB =0.
EL1A =0. ;EL1B =0. ;EL1C =0.
ENUL = GRND6 ;ENUT = GRND3
ENULA =1.458E-06 ;ENULB =110.400002 ;ENULC =0. ;ENULD =0.
ENULE =0. ;ENULF =0. ;ENULG =0.
IENULA = 0 ;IENULB = 0
ENUTA =0. ;ENUTB =0. ;ENUTC =0.
IENUTA = 3
PRNDTL(U1)=1. ;PRNDTL(V1)=1.
PRNDTL(KE)=1. ;PRNDTL(EP)=1.
PRNDTL(LTLS)=1. ;PRNDTL(TEM1)=-GRND4
PRLH1A =3.5E-03 ;PRLH1B =7.5E-05 ;PRLH1C =0.
PRT(U1)=1. ;PRT(V1)=1.
PRT(KE)=1. ;PRT(EP)=1.314
PRT(LTLS)=1. ;PRT(TEM1)=0.9
CP1 =1008. ;CP2 =1.
************************************************************
Group 10.Inter-Phase Transfer Processes
************************************************************
Group 11.Initial field variables (PHIs)
FIINIT(P1)=1.0E-10 ;FIINIT(U1)=1.0E-10
FIINIT(V1)=1.0E-10 ;FIINIT(KE)=3.402741E-03
FIINIT(EP)=1.368744E-03 ;FIINIT(C3EB)=1.0E-10
FIINIT(GENB)=1.0E-10 ;FIINIT(V1N)=1.0E-10
FIINIT(U1N)=1.0E-10 ;FIINIT(TNO)=1.0E-10
FIINIT(NUC)=1.0E-10 ;FIINIT(NUH)=1.0E-10
FIINIT(HTC)=1.0E-10 ;FIINIT(HTH)=1.0E-10
FIINIT(QC)=1.0E-10 ;FIINIT(QH)=1.0E-10
FIINIT(DWAL)=1.0E-10 ;FIINIT(LEN1)=1.0E-10
FIINIT(YPLS)=1.0E-10 ;FIINIT(ENUL)=1.0E-10
FIINIT(ENUT)=7.61339E-04 ;FIINIT(KOND)=0.028522
FIINIT(DEN1)=1.070903 ;FIINIT(TREY)=1.0E-10
FIINIT(REYN)=1.0E-10 ;FIINIT(LTLS)=1.0E-10
FIINIT(WDIS)=0.1 ;FIINIT(EPKE)=1.0E-10
FIINIT(TEM1)=330.100006
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, 1)
COVAL(KESOURCE,KE , GRND4 , GRND4 )
COVAL(KESOURCE,EP , GRND4 , GRND4 )
PATCH(HOT ,WWALL , 1, 1, 1, 56, 1, 1, 1, 1)
COVAL(HOT ,V1 , GRND2 ,0. )
COVAL(HOT ,KE ,1. ,0. )
COVAL(HOT ,TEM1, GRND2 ,353. )
PATCH(COLD ,EWALL , 56, 56, 1, 56, 1, 1, 1, 1)
COVAL(COLD ,V1 , GRND2 ,0. )
COVAL(COLD ,KE ,1. ,0. )
COVAL(COLD ,TEM1, GRND2 ,307.200012 )
PATCH(TOPWAL ,NWALL , 1, 56, 56, 56, 1, 1, 1, 1)
COVAL(TOPWAL ,U1 , GRND2 ,0. )
COVAL(TOPWAL ,KE ,1. ,0. )
PATCH(BOTWAL ,SWALL , 1, 56, 1, 1, 1, 1, 1, 1)
COVAL(BOTWAL ,U1 , GRND2 ,0. )
COVAL(BOTWAL ,KE ,1. ,0. )
PATCH(BUOY ,PHASEM, 1, 56, 1, 56, 1, 1, 1, 1)
COVAL(BUOY ,V1 , FIXFLU , GRND2 )
PATCH(REFP ,CELL , 28, 28, 28, 28, 1, 1, 1, 1)
COVAL(REFP ,P1 ,1. ,0. )
COVAL(REFP ,V1 ,0. ,0. )
PATCH(KEBUOY ,PHASEM, 1, 56, 1, 56, 1, 1, 1, 1)
COVAL(KEBUOY ,KE , GRND4 , GRND4 )
COVAL(KEBUOY ,EP , GRND4 , GRND4 )
XCYCLE = F
EGWF = T
WALLCO = GRND2
BUOYA =0. ; BUOYB =-9.81 ; BUOYC =0.
BUOYD =1.070903
************************************************************
Group 14. Downstream Pressure For PARAB
************************************************************
Group 15. Terminate Sweeps
LSWEEP = 8000 ;ISWC1 = 1
LITHYD = 1 ;LITFLX = 1 ;LITC = 1 ;ITHC1 = 1
SELREF = T
RESFAC =1.0E-05
************************************************************
Group 16. Terminate Iterations
LITER(P1)=40 ;LITER(U1)=2
LITER(V1)=2 ;LITER(KE)=2
LITER(EP)=2 ;LITER(LTLS)=20
LITER(TEM1)=50
ENDIT(P1)=1.0E-03 ;ENDIT(U1)=1.0E-03
ENDIT(V1)=1.0E-03 ;ENDIT(KE)=1.0E-03
ENDIT(EP)=1.0E-03 ;ENDIT(LTLS)=1.0E-03
ENDIT(TEM1)=1.0E-03
************************************************************
Group 17. Relaxation
RELAX(P1,LINRLX,1.)
RELAX(U1,FALSDT,0.024201)
RELAX(V1,FALSDT,0.024201)
RELAX(KE,FALSDT,0.024201)
RELAX(EP,FALSDT,0.024201)
RELAX(C3EB,LINRLX,1.)
RELAX(GENB,LINRLX,1.)
RELAX(V1N,LINRLX,1.)
RELAX(U1N,LINRLX,1.)
RELAX(TNO,LINRLX,1.)
RELAX(NUC,LINRLX,1.)
RELAX(NUH,LINRLX,1.)
RELAX(HTC,LINRLX,1.)
RELAX(HTH,LINRLX,1.)
RELAX(QC,LINRLX,1.)
RELAX(QH,LINRLX,1.)
RELAX(DWAL,LINRLX,1.)
RELAX(LEN1,LINRLX,1.)
RELAX(YPLS,LINRLX,1.)
RELAX(ENUL,LINRLX,1.)
RELAX(ENUT,LINRLX,1.)
RELAX(KOND,LINRLX,1.)
RELAX(DEN1,LINRLX,1.)
RELAX(TREY,LINRLX,1.)
RELAX(REYN,LINRLX,1.)
RELAX(LTLS,FALSDT,1.0E+09)
RELAX(WDIS,LINRLX,1.)
RELAX(EPKE,LINRLX,1.)
RELAX(TEM1,FALSDT,1.210062)
KELIN = 3
OVRRLX =0.
EXPERT = F ;NNORSL = F
************************************************************
Group 18. Limits
VARMAX(P1)=1.0E+10 ;VARMIN(P1)=-1.0E+10
VARMAX(U1)=1.0E+06 ;VARMIN(U1)=-1.0E+06
VARMAX(V1)=1.0E+06 ;VARMIN(V1)=-1.0E+06
VARMAX(KE)=1.0E+10 ;VARMIN(KE)=1.0E-10
VARMAX(EP)=1.0E+10 ;VARMIN(EP)=1.0E-10
VARMAX(C3EB)=1.0E+10 ;VARMIN(C3EB)=-1.0E+10
VARMAX(GENB)=1.0E+10 ;VARMIN(GENB)=-1.0E+10
VARMAX(V1N)=1.0E+10 ;VARMIN(V1N)=-1.0E+10
VARMAX(U1N)=1.0E+10 ;VARMIN(U1N)=-1.0E+10
VARMAX(TNO)=1.0E+10 ;VARMIN(TNO)=-1.0E+10
VARMAX(NUC)=1.0E+10 ;VARMIN(NUC)=-1.0E+10
VARMAX(NUH)=1.0E+10 ;VARMIN(NUH)=-1.0E+10
VARMAX(HTC)=1.0E+10 ;VARMIN(HTC)=-1.0E+10
VARMAX(HTH)=1.0E+10 ;VARMIN(HTH)=-1.0E+10
VARMAX(QC)=1.0E+10 ;VARMIN(QC)=-1.0E+10
VARMAX(QH)=1.0E+10 ;VARMIN(QH)=-1.0E+10
VARMAX(DWAL)=1.0E+10 ;VARMIN(DWAL)=-1.0E+10
VARMAX(LEN1)=1.0E+10 ;VARMIN(LEN1)=-1.0E+10
VARMAX(YPLS)=1.0E+10 ;VARMIN(YPLS)=-1.0E+10
VARMAX(ENUL)=1.0E+10 ;VARMIN(ENUL)=-1.0E+10
VARMAX(ENUT)=1.0E+10 ;VARMIN(ENUT)=-1.0E+10
VARMAX(KOND)=1.0E+10 ;VARMIN(KOND)=-1.0E+10
VARMAX(DEN1)=1.0E+10 ;VARMIN(DEN1)=-1.0E+10
VARMAX(TREY)=1.0E+10 ;VARMIN(TREY)=-1.0E+10
VARMAX(REYN)=1.0E+10 ;VARMIN(REYN)=-1.0E+10
VARMAX(LTLS)=1.0E+10 ;VARMIN(LTLS)=-1.0E+10
VARMAX(WDIS)=1.0E+10 ;VARMIN(WDIS)=-1.0E+10
VARMAX(EPKE)=1.0E+10 ;VARMIN(EPKE)=-1.0E+10
VARMAX(TEM1)=353. ;VARMIN(TEM1)=307.200012
************************************************************
Group 19. Data transmitted to GROUND
GENK = T
PARSOL = F
IENUTA = 3
ISG62 = 1
SPEDAT(SET,STORED,DWAL,C,=0.5*DXU!ZSLFIN)
SPEDAT(SET,STORED,QH!HOT,C,=KOND*(353.-TEM1)/DWAL!ZSLFIN)
SPEDAT(SET,STORED,QC!COLD,C,=KOND*(307.200012-TEM1)/DWAL!ZSLFIN)
SPEDAT(SET,STORED,HTH!HOT,C,=QH/45.799999!ZSLFIN)
SPEDAT(SET,STORED,HTC!COLD,C,=QC/45.799999!ZSLFIN)
SPEDAT(SET,STORED,NUH!HOT,C,=((353.-TEM1)/DWAL)*2.5/45.799999!ZSL$)
SPEDAT(SET,STORED,NUH!HOT,C,FIN)
SPEDAT(SET,STORED,NUC!COLD,C,=ABS((307.200012-TEM1)/DWAL)*2.5/45.$)
SPEDAT(SET,STORED,NUC!COLD,C,799999!ZSLFIN)
SPEDAT(SET,MAKE,QHOT,C,=0.0)
SPEDAT(SET,STORED,QHOT!HOT,C,=SUM(QH*AEAST)!ZSLFIN)
SPEDAT(SET,PRINT,Q_HOT,C,=QHOT)
SPEDAT(SET,MAKE,QCOLD,C,=0.0)
SPEDAT(SET,STORED,QCOLD!COLD,C,=SUM(QC*AEAST)!ZSLFIN)
SPEDAT(SET,PRINT,Q_COLD,C,=QCOLD)
SPEDAT(SET,MAKE,NUAHOT,C,=0.0)
SPEDAT(SET,STORED,NUAHOT!HOT,C,=QHOT/(45.799999*0.028522)!ZSLFIN)
SPEDAT(SET,PRINT,NU_AV_HOT,C,=NUAHOT)
SPEDAT(SET,MAKE,NUACOLD,C,=0.0)
SPEDAT(SET,STORED,NUACOLD!COLD,C,=ABS(QCOLD)/(45.799999*0.028522)$)
SPEDAT(SET,STORED,NUACOLD!COLD,C,!ZSLFIN)
SPEDAT(SET,PRINT,NU_AV_COLD,C,=NUACOLD)
SPEDAT(SET,STORED,U1N,C,=U1/1.844652!ZSLFIN)
SPEDAT(SET,STORED,V1N,C,=V1/1.844652!ZSLFIN)
SPEDAT(SET,STORED,TNO,C,=(TEM1-307.200012)/45.799999!ZSLFIN)
SPEDAT(SET,KEBUOY,GCEB,R,-1.)
SPEDAT(SET,GXMONI,PLOTALL,L,T)
************************************************************
Group 20. Preliminary Printout
DISTIL = T ;NULLPR = F
NDST = 0
DSTTOL =1.0E-02
EX(P1)=0.2086 ;EX(U1)=8.015E-03
EX(V1)=0.05177 ;EX(KE)=6.196E-04
EX(EP)=8.658E-04 ;EX(C3EB)=0.606
EX(GENB)=2.424E-05 ;EX(V1N)=0.02757
EX(U1N)=4.267E-03 ;EX(TNO)=0.5034
EX(NUC)=4.328 ;EX(NUH)=3.898
EX(HTC)=0.04602 ;EX(HTH)=0.04668
EX(QC)=2.108 ;EX(QH)=2.138
EX(DWAL)=4.464E-03 ;EX(LEN1)=4.112E-03
EX(YPLS)=0.01008 ;EX(ENUL)=1.858E-05
EX(ENUT)=5.987E-05 ;EX(KOND)=0.02827
EX(DEN1)=1.073 ;EX(TREY)=3.235
EX(REYN)=27.629999 ;EX(LTLS)=4.122E-03
EX(WDIS)=0.02636 ;EX(EPKE)=1.422E+06
EX(TEM1)=330.299988
************************************************************
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(U1,Y,N,Y,Y,Y,Y)
OUTPUT(V1,Y,N,Y,Y,Y,Y)
OUTPUT(KE,Y,N,Y,Y,Y,Y)
OUTPUT(EP,Y,N,Y,Y,Y,Y)
OUTPUT(C3EB,Y,N,Y,N,N,N)
OUTPUT(GENB,Y,N,Y,N,N,N)
OUTPUT(V1N,Y,N,Y,N,N,N)
OUTPUT(U1N,Y,N,Y,N,N,N)
OUTPUT(TNO,Y,N,Y,N,N,N)
OUTPUT(NUC,Y,N,Y,N,N,N)
OUTPUT(NUH,Y,N,Y,N,N,N)
OUTPUT(HTC,Y,N,Y,N,N,N)
OUTPUT(HTH,Y,N,Y,N,N,N)
OUTPUT(QC,Y,N,Y,N,N,N)
OUTPUT(QH,Y,N,Y,N,N,N)
OUTPUT(DWAL,Y,N,Y,N,N,N)
OUTPUT(LEN1,Y,N,Y,N,N,N)
OUTPUT(YPLS,Y,N,Y,N,N,N)
OUTPUT(ENUL,Y,N,Y,N,N,N)
OUTPUT(ENUT,Y,N,Y,N,N,N)
OUTPUT(KOND,Y,N,Y,N,N,N)
OUTPUT(DEN1,Y,N,Y,N,N,N)
OUTPUT(TREY,Y,N,Y,N,N,N)
OUTPUT(REYN,Y,N,Y,N,N,N)
OUTPUT(LTLS,Y,N,Y,Y,Y,Y)
OUTPUT(WDIS,Y,N,Y,N,N,N)
OUTPUT(EPKE,Y,N,Y,N,N,N)
OUTPUT(TEM1,Y,N,Y,Y,Y,Y)
************************************************************
Group 22. Monitor Print-Out
IXMON = 5 ;IYMON = 28 ;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
NXPRIN = 11 ;IXPRF = 1 ;IXPRL = 10000
NYPRIN = 11 ;IYPRF = 1 ;IYPRL = 10000
IPLTF = 1 ;IPLTL = -1 ;NPLT = 400
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(NUHOT ,PROFIL, 1, 1, 1, 56, 1, 1, 1, 1)
PLOT(NUHOT ,NUH ,0. ,0. )
PATCH(NUCOLD ,PROFIL, 56, 56, 1, 56, 1, 1, 1, 1)
PLOT(NUCOLD ,NUC ,0. ,0. )
************************************************************
Group 24. Dumps For Restarts
SAVE = T ;NOWIPE = F
NSAVE =CHAM
STOP