TALK=T;RUN(1,1) DISPLAY This case illustrates the use of PIL to set up a "Couette flow", i.e. that which arises between extensive surfaces, separated by a constant distance, and sliding relative to one another. The flow is laminar, and the flow has uniform properties. Four equations are solved, namely for velocity, W1, and for three scalar quantities A, B and C which are distinguished only by having Prandtl Numbers of 1.0, 0.1 and 10.0 respectively. Each variable is given the value 0.0 at the lower (south) wall and the value 1.0 at the upper (north wall). The computed profiles are, of course, linear; and the only differences between the solutions for the four variables lie in the sources and sinks at the walls. These are largest in magnitude for C and smallest for B. ENDDIS ************************************************************ Group 1. Run Title and Number ************************************************************ ************************************************************ TEXT(Couette Flow, Reynolds Number = 10.0 ) ************************************************************ ************************************************************ IRUNN = 1 ;LIBREF = 951 ************************************************************ Group 2. Time dependence STEADY = T ************************************************************ Group 3. X-Direction Grid Spacing CARTES = T NX = 1 XULAST =1. XFRAC(1)=1. ************************************************************ Group 4. Y-Direction Grid Spacing NY = 20 YVLAST =1. YFRAC(1)=0.05 ;YFRAC(2)=0.1 YFRAC(3)=0.15 ;YFRAC(4)=0.2 YFRAC(5)=0.25 ;YFRAC(6)=0.3 YFRAC(7)=0.35 ;YFRAC(8)=0.4 YFRAC(9)=0.45 ;YFRAC(10)=0.5 YFRAC(11)=0.55 ;YFRAC(12)=0.6 YFRAC(13)=0.65 ;YFRAC(14)=0.7 YFRAC(15)=0.75 ;YFRAC(16)=0.8 YFRAC(17)=0.85 ;YFRAC(18)=0.9 YFRAC(19)=0.95 ;YFRAC(20)=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(7)=W1 ;NAME(148)=C NAME(149)=B ;NAME(150)=A * Y in SOLUTN argument list denotes: * 1-stored 2-solved 3-whole-field * 4-point-by-point 5-explicit 6-harmonic averaging SOLUTN(W1,Y,Y,N,N,N,Y) SOLUTN(C,Y,Y,N,N,N,Y) SOLUTN(B,Y,Y,N,N,N,Y) SOLUTN(A,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(W1,N,N,Y,Y,Y,Y) TERMS(C,N,N,Y,Y,Y,Y) TERMS(B,N,N,Y,Y,Y,Y) TERMS(A,N,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 =0.1 ;ENUT =0. PRNDTL(W1)=1. ;PRNDTL(C)=10. PRNDTL(B)=0.1 ;PRNDTL(A)=1. PRT(W1)=1. ;PRT(C)=1. PRT(B)=1. ;PRT(A)=1. CP1 =1. ;CP2 =1. ************************************************************ Group 10.Inter-Phase Transfer Processes ************************************************************ Group 11.Initial field variables (PHIs) FIINIT(W1)=1.0E-10 ;FIINIT(C)=1.0E-10 FIINIT(B)=1.0E-10 ;FIINIT(A)=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(NORTH ,NWALL , 1, 1, 20, 20, 1, 1, 1, 1) COVAL(NORTH ,W1 ,1. ,1. ) COVAL(NORTH ,C ,1. ,1. ) COVAL(NORTH ,B ,1. ,1. ) COVAL(NORTH ,A ,1. ,1. ) PATCH(SOUTH ,SWALL , 1, 1, 1, 1, 1, 1, 1, 1) COVAL(SOUTH ,W1 ,1. ,0. ) COVAL(SOUTH ,C ,1. ,0. ) COVAL(SOUTH ,B ,1. ,0. ) COVAL(SOUTH ,A ,1. ,0. ) 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 SELREF = T RESFAC =1.0E-05 ************************************************************ Group 16. Terminate Iterations LITER(W1)=10 ;LITER(C)=20 LITER(B)=20 ;LITER(A)=20 ENDIT(W1)=1.0E-03 ;ENDIT(C)=1.0E-03 ENDIT(B)=1.0E-03 ;ENDIT(A)=1.0E-03 ************************************************************ Group 17. Relaxation RELAX(W1,FALSDT,1.) RELAX(C,FALSDT,1.0E+09) RELAX(B,FALSDT,1.0E+09) RELAX(A,FALSDT,1.0E+09) OVRRLX =0. EXPERT = F ;NNORSL = F ************************************************************ Group 18. Limits VARMAX(W1)=1.0E+06 ;VARMIN(W1)=-1.0E+06 VARMAX(C)=1.0E+10 ;VARMIN(C)=-1.0E+10 VARMAX(B)=1.0E+10 ;VARMIN(B)=-1.0E+10 VARMAX(A)=1.0E+10 ;VARMIN(A)=-1.0E+10 ************************************************************ Group 19. Data transmitted to GROUND PARSOL = F ISG62 = 1 SPEDAT(SET,GXMONI,PLOTALL,L,T) ************************************************************ Group 20. Preliminary Printout DISTIL = T ;NULLPR = F NDST = 0 DSTTOL =1.0E-02 EX(W1)=0.5 ;EX(C)=0.5 EX(B)=0.5 ;EX(A)=0.5 ************************************************************ 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(W1,Y,N,Y,Y,Y,Y) OUTPUT(C,Y,N,Y,Y,Y,Y) OUTPUT(B,Y,N,Y,Y,Y,Y) OUTPUT(A,Y,N,Y,Y,Y,Y) ************************************************************ Group 22. Monitor Print-Out IXMON = 1 ;IYMON = 10 ;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 = 3 ;IPROF = 1 ABSIZ =0.5 ;ORSIZ =0.4 NTZPRF = 1 ;NCOLPF = 50 ICHR = 2 ;NCOLCO = 45 ;NROWCO = 20 PATCH(PROFILES,PROFIL, 1, 1, 1, 20, 1, 1, 1, 1) PLOT(PROFILES,W1 ,0. ,1. ) PLOT(PROFILES,C ,0. ,1. ) PLOT(PROFILES,B ,0. ,1. ) PLOT(PROFILES,A ,0. ,1. ) ************************************************************ Group 24. Dumps For Restarts SAVE = T ;NOWIPE = F NSAVE =CHAM STOP