TALK=T;RUN(1,1) DISPLAY The case considered is the one-dimensional solution of fully- developed turbulent flow in a circular pipe at a Reynolds number of 1.E5. The turbulence is simulated by use of the Prandtl mixing length model with Nikuradse's prescription of the mixing length. The calculation integrates down to the wall by using van Driest's viscous- damping extension to the mixing length. The solution is performed by use of the single-slab solver with a prescribed pressure drop. A non-uniform grid is employed so as to concentrate cells very close to the wall. For this purpose a grid is generated which is a geometric progression with the property that the ratio of any two adjacent cell lengths is a constant. The calculations yield a friction factor of f=0.018 which is in excellent agreement with the experimental value. ENDDIS AUTOPLOT USE file phi 5 da 1 w1;col3 1 msg Velocity (W1) profile msg Press RETURN to continue pause clear;da 1 enut col3 1 msg Press e to END ENDUSE ************************************************************ Group 1. Run Title and Number ************************************************************ ************************************************************ TEXT(VAN DRIEST_1D DEVELOPED PIPE FLOW :T201) ************************************************************ ************************************************************ IRUNN = 1 ;LIBREF = 14 ************************************************************ Group 2. Time dependence STEADY = T ************************************************************ Group 3. X-Direction Grid Spacing CARTES = F NX = 1 XULAST =0.1 XFRAC(1)=1. ************************************************************ Group 4. Y-Direction Grid Spacing NY = 58 YVLAST =0.05 YFRAC(1)=0.038842 ;YFRAC(5)=0.344854 YFRAC(9)=0.553864 ;YFRAC(13)=0.696621 YFRAC(17)=0.794126 ;YFRAC(21)=0.860723 YFRAC(25)=0.906209 ;YFRAC(29)=0.937277 YFRAC(33)=0.958497 ;YFRAC(37)=0.972991 YFRAC(41)=0.98289 ;YFRAC(45)=0.989651 YFRAC(49)=0.994269 ;YFRAC(53)=0.997424 YFRAC(57)=0.999578 ************************************************************ Group 5. Z-Direction Grid Spacing PARAB = F NZ = 1 ZWLAST =1.0E-02 ZFRAC(1)=1. ************************************************************ Group 6. Body-Fitted Coordinates ************************************************************ Group 7. Variables: STOREd,SOLVEd,NAMEd ONEPHS = T NAME(7)=W1 ;NAME(149)=LEN1 NAME(150)=ENUT * 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(LEN1,Y,N,N,N,N,Y) SOLUTN(ENUT,Y,N,N,N,N,Y) VIST = 150 LEN1 = 149 ************************************************************ 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) DIFCUT =0.5 ;ZDIFAC =1. GALA = F ;ADDDIF = F NEWENT = T 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 = GRND8 TSURR =0. ;TEMP0 =0. ;PRESS0 =0. DVO1DT =0. ;DRH1DP =0. EMISS =0. ;SCATT =0. RADIA =0. ;RADIB =0. EL1A =7.0E-03 ;EL1B =-1.6 ;EL1C =-479.999969 ENUL =1.0E-06 ;ENUT = GRND2 ENUTA =0. ;ENUTB =0. ;ENUTC =0. IENUTA = 5 PRNDTL(W1)=1. PRT(W1)=1. CP1 =1. ;CP2 =1. ************************************************************ Group 10.Inter-Phase Transfer Processes ************************************************************ Group 11.Initial field variables (PHIs) FIINIT(W1)=1. ;FIINIT(LEN1)=1.0E-10 FIINIT(ENUT)=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(WALLN ,NWALL , 1, 1, 58, 58, 1, 1, 1, 1) COVAL(WALLN ,W1 , GRND2 ,0. ) PATCH(PFORW ,VOLUME, 1, 1, 1, 58, 1, 1, 1, 1) COVAL(PFORW ,W1 , FIXFLU ,0.089845 ) XCYCLE = F EGWF = T WALLCO = GRND2 ************************************************************ Group 14. Downstream Pressure For PARAB ************************************************************ Group 15. Terminate Sweeps LSWEEP = 40 ;ISWC1 = 1 LITHYD = 6 ;LITFLX = 1 ;LITC = 1 ;ITHC1 = 1 SELREF = T RESFAC =1.0E-05 ************************************************************ Group 16. Terminate Iterations LITER(W1)=10 ENDIT(W1)=1.0E-03 ************************************************************ Group 17. Relaxation RELAX(W1,FALSDT,0.1) RELAX(LEN1,LINRLX,1.) RELAX(ENUT,LINRLX,1.) OVRRLX =0. EXPERT = F ;NNORSL = F ************************************************************ Group 18. Limits VARMAX(W1)=1.0E+06 ;VARMIN(W1)=1.0E-10 VARMAX(LEN1)=1.0E+10 ;VARMIN(LEN1)=-1.0E+10 VARMAX(ENUT)=1.0E+10 ;VARMIN(ENUT)=-1.0E+10 ************************************************************ Group 19. Data transmitted to GROUND GENK = T PARSOL = F IENUTA = 5 ISG62 = 1 SPEDAT(SET,GXMONI,PLOTALL,L,T) ************************************************************ 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(W1,Y,N,Y,Y,Y,Y) OUTPUT(LEN1,Y,N,Y,N,N,N) OUTPUT(ENUT,Y,N,Y,N,N,N) WALPRN = T ************************************************************ Group 22. Monitor Print-Out IXMON = 1 ;IYMON = 56 ;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 = 4 ;IYPRF = 1 ;IYPRL = 10000 IPLTF = 1 ;IPLTL = -1 ;NPLT = 5 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 STOP