```
TALK=T;RUN(1,1)
photon use
p

msg Temperature contours
con temp z 1 fi;0.1
msg
msg Press return for velocity vectors
pause;con off; red
vec z 1 sh
msg Press return for pressure contours
pause;vec off; red
msg
msg Pressure contours
con p1 z 1 fi;0.1
msg Press return for streamlines
pause;con off;red;stre 2d z 1;int 10
msg Press e to END
enduse
DISPLAY
******************************************************************
*  A horizontal cold pipe, eg containing liquefied natural gas,  *
*  is insulated by a cylindrical blanket of glass wool, through  *
*  which air can circulate slowly by natural convection, as a    *
*  result of which the heat transfer rate is considerably larger *
*  than if conduction were the only mechanism.                   *
*                                                                *
*  The governing dimensionless parameters are:                   *
*1.The Prandtl number, in which it is the effective conductivity *
*  of the glass wool which should enter,                         *
*2.the Rayleigh number, ie                                       *
*             grav * DVO1DT * deltaT * diam**3/vis**2,           *
*3.and the ratio of average air-passage width in the glass wool  *
*  to the pipe diameter.                                         *
*                                                                *
*  The values chosen here are Pr = 0.5, Ra = 1.e8, Wi = 1.e-4    *
*                                                                *
******************************************************************
ENDDIS
************************************************************
Group 1. Run Title and Number
************************************************************
************************************************************

TEXT(Free Convection In A Porous Medium      )

************************************************************
************************************************************

IRUNN = 1 ;LIBREF = 14
************************************************************
Group 2. Time dependence
************************************************************
Group 3. X-Direction Grid Spacing
CARTES = F
NX = 20
XULAST =3.14159
XFRAC(1)=0.05 ;XFRAC(6)=0.3
XFRAC(11)=0.55 ;XFRAC(16)=0.8
************************************************************
Group 4. Y-Direction Grid Spacing
NY = 20
YVLAST =1.
RINNER =1. ;SNALFA =0.
YFRAC(1)=0.05 ;YFRAC(4)=0.2
YFRAC(7)=0.35 ;YFRAC(10)=0.5
YFRAC(13)=0.65 ;YFRAC(16)=0.8
YFRAC(19)=0.95
************************************************************
Group 5. Z-Direction Grid Spacing
PARAB = F
NZ = 1
ZWLAST =1.1054
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(14)=TEMP
* 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,Y,N,Y)
SOLUTN(V1,Y,Y,N,Y,N,Y)
SOLUTN(TEMP,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(U1,Y,Y,Y,Y,Y,Y)
TERMS(V1,Y,Y,Y,Y,Y,Y)
TERMS(TEMP,N,Y,Y,N,Y,N)
DIFCUT =0.5 ;ZDIFAC =1.
GALA = F ;ADDDIF = 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 =2.0E+07 ;DRH1DP =0.
EMISS =0. ;SCATT =0.
ENUL =1. ;ENUT =0.
PRNDTL(U1)=1. ;PRNDTL(V1)=1.
PRNDTL(TEMP)=5.
PRT(U1)=1. ;PRT(V1)=1.
PRT(TEMP)=1.
CP1 =1. ;CP2 =1.
************************************************************
Group 10.Inter-Phase Transfer Processes
************************************************************
Group 11.Initial field variables (PHIs)
FIINIT(P1)=0. ;FIINIT(U1)=0.
FIINIT(V1)=0. ;FIINIT(TEMP)=0.4
No PATCHes yet used for this Group
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(INNERWAL,SWALL , 1, 20, 1, 1, 1, 1, 1, 1)
COVAL(INNERWAL,U1 ,1. ,0. )
COVAL(INNERWAL,TEMP,1. ,0. )

PATCH(OUTERWAL,NWALL , 1, 20, 20, 20, 1, 1, 1, 1)
COVAL(OUTERWAL,U1 ,1. ,0. )
COVAL(OUTERWAL,TEMP,1. ,1. )

PATCH(PRELIEF ,CELL , 10, 10, 1, 1, 1, 1, 1, 1)
COVAL(PRELIEF ,P1 ,1. ,0. )
COVAL(PRELIEF ,TEMP,0. , SAME )

PATCH(BUOYANCY,VOLUME, 1, 20, 1, 20, 1, 1, 1, 1)
COVAL(BUOYANCY,U1 , FIXFLU , GRND3 )
COVAL(BUOYANCY,V1 , FIXFLU , GRND3 )

PATCH(MEDIUM ,VOLUME, 1, 20, 1, 20, 1, 1, 1, 1)
COVAL(MEDIUM ,U1 ,5000. ,0. )
COVAL(MEDIUM ,V1 ,5000. ,0. )
XCYCLE = F
EGWF = T
WALLCO = GRND2
BUOYA =0. ; BUOYB =-1.
BUOYC =0.
BUOYD =2.0E+07
************************************************************
Group 14. Downstream Pressure For PARAB
************************************************************
Group 15. Terminate Sweeps
LSWEEP = 200 ;ISWC1 = 1
LITHYD = 1 ;LITFLX = 1 ;LITC = 1 ;ITHC1 = 1
SELREF = T
RESFAC =0.1
************************************************************
Group 16. Terminate Iterations
LITER(P1)=100 ;LITER(U1)=10
LITER(V1)=10 ;LITER(TEMP)=10
ENDIT(P1)=1.0E-03 ;ENDIT(U1)=1.0E-03
ENDIT(V1)=1.0E-03 ;ENDIT(TEMP)=1.0E-03
************************************************************
Group 17. Relaxation
RELAX(P1,LINRLX,1.)
RELAX(U1,FALSDT,9.999E-06)
RELAX(V1,FALSDT,9.999E-06)
RELAX(TEMP,FALSDT,1.0E+09)
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(TEMP)=1.0E+10 ;VARMIN(TEMP)=-1.0E+10
************************************************************
Group 19. Data transmitted to GROUND
PARSOL = F
ISG62 = 1
************************************************************
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,N,Y,Y,Y,Y,Y)
OUTPUT(U1,N,Y,Y,Y,Y,Y)
OUTPUT(V1,N,Y,Y,Y,Y,Y)
OUTPUT(TEMP,N,Y,Y,Y,Y,Y)
************************************************************
Group 22. Monitor Print-Out
IXMON = 10 ;IYMON = 5 ;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 = 5 ;IXPRF = 1 ;IXPRL = 10000
NYPRIN = 3 ;IYPRF = 1 ;IYPRL = 10000
IPLTF = 1 ;IPLTL = 200 ;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(TX1 ,PROFIL, 1, 1, 1, 20, 1, 1, 1, 1)
PLOT(TX1 ,TEMP,0. ,0. )

PATCH(TNX ,PROFIL, 20, 20, 1, 20, 1, 1, 1, 1)
PLOT(TNX ,TEMP,0. ,0. )

PATCH(TNX2 ,PROFIL, 10, 10, 1, 20, 1, 1, 1, 1)
PLOT(TNX2 ,U1 ,0. ,0. )
PLOT(TNX2 ,TEMP,0. ,0. )

PATCH(TCON ,CONTUR, 1, 30, 1, 30, 1, 1, 1, 1)
PLOT(TCON ,TEMP,0. ,20. )
************************************************************
Group 24. Dumps For Restarts
SAVE = T ;NOWIPE = F
NSAVE =CHAM
STOP
```