TALK=T;RUN(1,1)
   PHOTON USE
   AUTOPLOT
   file
   phi 5

   cl
   msg U1 DIFFUSION OF A COMBINED VORTEX
   msg Velocity (U1) profile
   msg Green line --- PHOENICS solution
   msg crosses ---   analytical solution
   da 1 u1;da 1 uana
   col9 1;blb4 2

   msg press  to end
   pause
   end
   END_USE
  DISPLAY

  The case considered is 1d radial diffusion of a combined vortex
  with a fixed-value boundary condition at the outer boundary. The
  U1 velocity is fixed at the radius where the swirling motion
  changes from a forced vortex at the core to a free vortex in the
  surrounding fluid. This distribution of U1 forms a very close
  approximation to most swirling motions which occur in practice.

  ENDDIS
 ************************************************************
  Group 1. Run Title and Number
 ************************************************************
 ************************************************************
 
 TEXT(1D U1 Diffusion Of A Combined Vortex    )
 
 ************************************************************
 ************************************************************
 
 IRUNN = 1 ;LIBREF = 14
 ************************************************************
  Group 2. Time dependence
 STEADY = T
 ************************************************************
  Group 3. X-Direction Grid Spacing
 CARTES = F
 NX = 1
 XULAST =1.0E-03
 XFRAC(1)=1.
 ************************************************************
  Group 4. Y-Direction Grid Spacing
 NY = 40
 YVLAST =1.
 YFRAC(1)=0.025 ;YFRAC(2)=0.05
 YFRAC(3)=0.075 ;YFRAC(4)=0.1
 YFRAC(5)=0.125 ;YFRAC(6)=0.15
 YFRAC(7)=0.175 ;YFRAC(8)=0.2
 YFRAC(9)=0.225 ;YFRAC(10)=0.25
 YFRAC(11)=0.275 ;YFRAC(12)=0.3
 YFRAC(13)=0.325 ;YFRAC(14)=0.35
 YFRAC(15)=0.375 ;YFRAC(16)=0.4
 YFRAC(17)=0.425 ;YFRAC(18)=0.45
 YFRAC(19)=0.475 ;YFRAC(20)=0.5
 YFRAC(21)=0.525 ;YFRAC(22)=0.55
 YFRAC(23)=0.575 ;YFRAC(24)=0.6
 YFRAC(25)=0.625 ;YFRAC(26)=0.65
 YFRAC(27)=0.675 ;YFRAC(28)=0.7
 YFRAC(29)=0.725 ;YFRAC(30)=0.75
 YFRAC(31)=0.775 ;YFRAC(32)=0.8
 YFRAC(33)=0.825 ;YFRAC(34)=0.85
 YFRAC(35)=0.875 ;YFRAC(36)=0.9
 YFRAC(37)=0.925 ;YFRAC(38)=0.95
 YFRAC(39)=0.975 ;YFRAC(40)=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 = T
 NAME(3)=U1 ;NAME(150)=UANA
    * Y in SOLUTN argument list denotes:
    * 1-stored 2-solved 3-whole-field
    * 4-point-by-point 5-explicit 6-harmonic averaging 
 SOLUTN(U1,Y,Y,N,N,N,Y)
 SOLUTN(UANA,Y,N,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(U1,Y,N,Y,Y,Y,Y)
 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 =0. ;DRH1DP =0.
 EMISS =0. ;SCATT =0.
 RADIA =0. ;RADIB =0.
 ENUL =1. ;ENUT =0.
 PRNDTL(U1)=1.
 PRT(U1)=1.
 CP1 =1. ;CP2 =1.
 ************************************************************
  Group 10.Inter-Phase Transfer Processes
 ************************************************************
  Group 11.Initial field variables (PHIs)
 FIINIT(U1)=0. ;FIINIT(UANA)=1.0E-10
 
 PATCH(IN1 ,INIVAL, 1, 1, 1, 1, 1, 1, 1, 1)
 INIT(IN1 ,UANA,0. ,0.025 )
 
 PATCH(IN2 ,INIVAL, 1, 1, 2, 2, 1, 1, 1, 1)
 INIT(IN2 ,UANA,0. ,0.075 )
 
 PATCH(IN3 ,INIVAL, 1, 1, 3, 3, 1, 1, 1, 1)
 INIT(IN3 ,UANA,0. ,0.125 )
 
 PATCH(IN4 ,INIVAL, 1, 1, 4, 4, 1, 1, 1, 1)
 INIT(IN4 ,UANA,0. ,0.175 )
 
 PATCH(IN5 ,INIVAL, 1, 1, 5, 5, 1, 1, 1, 1)
 INIT(IN5 ,UANA,0. ,0.225 )
 
 PATCH(IN6 ,INIVAL, 1, 1, 6, 6, 1, 1, 1, 1)
 INIT(IN6 ,UANA,0. ,0.275 )
 
 PATCH(IN7 ,INIVAL, 1, 1, 7, 7, 1, 1, 1, 1)
 INIT(IN7 ,UANA,0. ,0.232692 )
 
 PATCH(IN8 ,INIVAL, 1, 1, 8, 8, 1, 1, 1, 1)
 INIT(IN8 ,UANA,0. ,0.201667 )
 
 PATCH(IN9 ,INIVAL, 1, 1, 9, 9, 1, 1, 1, 1)
 INIT(IN9 ,UANA,0. ,0.177941 )
 
 PATCH(IN10 ,INIVAL, 1, 1, 10, 10, 1, 1, 1, 1)
 INIT(IN10 ,UANA,0. ,0.159211 )
 
 PATCH(IN11 ,INIVAL, 1, 1, 11, 11, 1, 1, 1, 1)
 INIT(IN11 ,UANA,0. ,0.144048 )
 
 PATCH(IN12 ,INIVAL, 1, 1, 12, 12, 1, 1, 1, 1)
 INIT(IN12 ,UANA,0. ,0.131522 )
 
 PATCH(IN13 ,INIVAL, 1, 1, 13, 13, 1, 1, 1, 1)
 INIT(IN13 ,UANA,0. ,0.121 )
 
 PATCH(IN14 ,INIVAL, 1, 1, 14, 14, 1, 1, 1, 1)
 INIT(IN14 ,UANA,0. ,0.112037 )
 
 PATCH(IN15 ,INIVAL, 1, 1, 15, 15, 1, 1, 1, 1)
 INIT(IN15 ,UANA,0. ,0.10431 )
 
 PATCH(IN16 ,INIVAL, 1, 1, 16, 16, 1, 1, 1, 1)
 INIT(IN16 ,UANA,0. ,0.097581 )
 
 PATCH(IN17 ,INIVAL, 1, 1, 17, 17, 1, 1, 1, 1)
 INIT(IN17 ,UANA,0. ,0.091667 )
 
 PATCH(IN18 ,INIVAL, 1, 1, 18, 18, 1, 1, 1, 1)
 INIT(IN18 ,UANA,0. ,0.086429 )
 
 PATCH(IN19 ,INIVAL, 1, 1, 19, 19, 1, 1, 1, 1)
 INIT(IN19 ,UANA,0. ,0.081757 )
 
 PATCH(IN20 ,INIVAL, 1, 1, 20, 20, 1, 1, 1, 1)
 INIT(IN20 ,UANA,0. ,0.077564 )
 
 PATCH(IN21 ,INIVAL, 1, 1, 21, 21, 1, 1, 1, 1)
 INIT(IN21 ,UANA,0. ,0.07378 )
 
 PATCH(IN22 ,INIVAL, 1, 1, 22, 22, 1, 1, 1, 1)
 INIT(IN22 ,UANA,0. ,0.070349 )
 
 PATCH(IN23 ,INIVAL, 1, 1, 23, 23, 1, 1, 1, 1)
 INIT(IN23 ,UANA,0. ,0.067222 )
 
 PATCH(IN24 ,INIVAL, 1, 1, 24, 24, 1, 1, 1, 1)
 INIT(IN24 ,UANA,0. ,0.064362 )
 
 PATCH(IN25 ,INIVAL, 1, 1, 25, 25, 1, 1, 1, 1)
 INIT(IN25 ,UANA,0. ,0.061735 )
 
 PATCH(IN26 ,INIVAL, 1, 1, 26, 26, 1, 1, 1, 1)
 INIT(IN26 ,UANA,0. ,0.059314 )
 
 PATCH(IN27 ,INIVAL, 1, 1, 27, 27, 1, 1, 1, 1)
 INIT(IN27 ,UANA,0. ,0.057075 )
 
 PATCH(IN28 ,INIVAL, 1, 1, 28, 28, 1, 1, 1, 1)
 INIT(IN28 ,UANA,0. ,0.055 )
 
 PATCH(IN29 ,INIVAL, 1, 1, 29, 29, 1, 1, 1, 1)
 INIT(IN29 ,UANA,0. ,0.05307 )
 
 PATCH(IN30 ,INIVAL, 1, 1, 30, 30, 1, 1, 1, 1)
 INIT(IN30 ,UANA,0. ,0.051271 )
 
 PATCH(IN31 ,INIVAL, 1, 1, 31, 31, 1, 1, 1, 1)
 INIT(IN31 ,UANA,0. ,0.04959 )
 
 PATCH(IN32 ,INIVAL, 1, 1, 32, 32, 1, 1, 1, 1)
 INIT(IN32 ,UANA,0. ,0.048016 )
 
 PATCH(IN33 ,INIVAL, 1, 1, 33, 33, 1, 1, 1, 1)
 INIT(IN33 ,UANA,0. ,0.046538 )
 
 PATCH(IN34 ,INIVAL, 1, 1, 34, 34, 1, 1, 1, 1)
 INIT(IN34 ,UANA,0. ,0.045149 )
 
 PATCH(IN35 ,INIVAL, 1, 1, 35, 35, 1, 1, 1, 1)
 INIT(IN35 ,UANA,0. ,0.043841 )
 
 PATCH(IN36 ,INIVAL, 1, 1, 36, 36, 1, 1, 1, 1)
 INIT(IN36 ,UANA,0. ,0.042606 )
 
 PATCH(IN37 ,INIVAL, 1, 1, 37, 37, 1, 1, 1, 1)
 INIT(IN37 ,UANA,0. ,0.041438 )
 
 PATCH(IN38 ,INIVAL, 1, 1, 38, 38, 1, 1, 1, 1)
 INIT(IN38 ,UANA,0. ,0.040333 )
 
 PATCH(IN39 ,INIVAL, 1, 1, 39, 39, 1, 1, 1, 1)
 INIT(IN39 ,UANA,0. ,0.039286 )
 
 PATCH(IN40 ,INIVAL, 1, 1, 40, 40, 1, 1, 1, 1)
 INIT(IN40 ,UANA,0. ,0.038291 )
 INIADD = F
 FSWEEP = 1
 IURINI = 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(INNER ,CELL , 1, 1, 6, 6, 1, 1, 1, 1)
 COVAL(INNER ,U1 , FIXVAL ,0.275 )
 
 PATCH(OUTER ,CELL , 1, 1, 40, 40, 1, 1, 1, 1)
 COVAL(OUTER ,U1 , FIXVAL ,0.038291 )
 XCYCLE = F
 EGWF = T
 WALLCO = GRND2
 ************************************************************
  Group 14. Downstream Pressure For PARAB
 ************************************************************
  Group 15. Terminate Sweeps
 LSWEEP = 10 ;ISWC1 = 1
 LITHYD = 1 ;LITFLX = 1 ;LITC = 1 ;ITHC1 = 1
 SELREF = T
 RESFAC =1.0E-04
 ************************************************************
  Group 16. Terminate Iterations
 LITER(U1)=10
 ENDIT(U1)=1.0E-03
 ************************************************************
  Group 17. Relaxation
 RELAX(U1,FALSDT,1.)
 RELAX(UANA,LINRLX,1.)
 OVRRLX =0.
 EXPERT = F ;NNORSL = F
 ************************************************************
  Group 18. Limits
 VARMAX(U1)=1.0E+06 ;VARMIN(U1)=-1.0E+06
 VARMAX(UANA)=1.0E+10 ;VARMIN(UANA)=-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(U1,Y,N,Y,Y,Y,Y)
 OUTPUT(UANA,Y,N,Y,N,N,N)
 ************************************************************
  Group 22. Monitor Print-Out
 IXMON = 1 ;IYMON = 6 ;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
 NYPRIN = 1 ;IYPRF = 1 ;IYPRL = 10000
 IPLTF = 1 ;IPLTL = -1 ;NPLT = -1
 ISWPRF = 1 ;ISWPRL = 100000
 ITABL = 2 ;IPROF = 1
 ABSIZ =0.5 ;ORSIZ =0.4
 NTZPRF = 1 ;NCOLPF = 50
 ICHR = 2 ;NCOLCO = 45 ;NROWCO = 20
 
 PATCH(LONGPLOT,PROFIL, 1, 1, 1, 40, 1, 1, 1, 1)
 PLOT(LONGPLOT,U1 ,0. ,0. )
 ************************************************************
  Group 24. Dumps For Restarts
 SAVE = T ;NOWIPE = F
 NSAVE =CHAM
STOP