TALK=T;RUN(1,1) PHOTON USE p 4. 1. 1. gr ou z 1 vec z 1 sh msg Velocity distribution: msg msg Press Enter to continue pause;cl msg Concentration distribution : msg Numerical solution con c1 z 1 fil;0.01 msg Press Enter to continue pause;con off;red msg Concentration distribution : msg Exact solution con exac z 1 fil;0.01 msg Press e to END ENDUSE DISPLAY PLANT is activated to introduce the complex source and to calculate the exact solution for output purposes to be compared against numerical one. Two alternatives are used for it: FIXVALing of SOLVEd variable EXCT and re-calculation at the end of solution procedure. The latter is performed in Group 21. =================================================== Convection-diffusion problem: dF/dx=1/Pe*d(dF/dx)/dx+S, where S= 1-2/Pe+2x+pi*cos(pi*x)+pi^2*sin(pi*x)/Pe Boundary conditions: x=0, F=1+exp(-Pe) x=1, F=4 Exact solution: F=1+x+x^2+exp(-Pe(1-x))+sin(pi*x) =================================================== ENDDIS PLANTBEGIN * Composite source specification S= 1-2/Pe+2x+pi*cos(pi*x)+pi^2*sin(pi*x)/Pe PATCH(SORC1,VOLUME,1,NX,1,NY,1,NZ,1,1)VAL=1.-2./RG(1)+2.*XG2D COVAL(SORC1,C1,FIXFLU,GRND) PATCH(SORC2,VOLUME,1,NX,1,NY,1,NZ,1,1) VAL=RG(2)*COS(RG(2)*XG2D) COVAL(SORC2,C1,FIXFLU,GRND) PATCH(SORC3,VOLUME,1,NX,1,NY,1,NZ,1,1) VAL=RG(2)**2*SIN(RG(2)*XG2D)/RG(1) COVAL(SORC3,C1,FIXFLU,GRND) * Exact solution for output PATCH(EXACT,CELL,1,NX,1,NY,1,NZ,1,1) VAL=1.+XG2D+(XG2D)**2 COVAL(EXACT,AUX1,FIXVAL,GRND) VAL=EXP(-RG(1)*(1.-XG2D)) COVAL(EXACT,AUX2,FIXVAL,GRND) VAL=SIN(RG(2)*XG2D) COVAL(EXACT,AUX3,FIXVAL,GRND) VAL=AUX1+AUX2+AUX3 COVAL(EXACT,EXCT,FIXVAL,GRND) * Exact solution for output STORE(EXAC) EXAC=1.+XG2D+(XG2D)**2+EXP(-RG(1)*(1.-XG2D))+ SIN(RG($ 2)*XG2D) PLANTEND ************************************************************ Group 1. Run Title and Number ************************************************************ ************************************************************ TEXT(In-Form equivalent of PLANT case Z112 ) ************************************************************ ************************************************************ IRUNN = 1 ;LIBREF = 712 ************************************************************ Group 2. Time dependence STEADY = T ************************************************************ Group 3. X-Direction Grid Spacing CARTES = T NX = 10 XULAST =1. XFRAC(1)=0.1 ;XFRAC(2)=0.2 XFRAC(3)=0.3 ;XFRAC(4)=0.4 XFRAC(5)=0.5 ;XFRAC(6)=0.6 XFRAC(7)=0.7 ;XFRAC(8)=0.8 XFRAC(9)=0.9 ;XFRAC(10)=1. ************************************************************ Group 4. Y-Direction Grid Spacing NY = 2 YVLAST =1. YFRAC(1)=0.5 ;YFRAC(2)=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(5)=V1 NAME(16)=C1 ;NAME(146)=EXAC NAME(147)=AUX3 ;NAME(148)=AUX2 NAME(149)=AUX1 ;NAME(150)=EXCT * 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,N,N,N,N,Y) SOLUTN(V1,Y,N,N,N,N,Y) SOLUTN(C1,Y,Y,N,N,N,Y) SOLUTN(EXAC,Y,N,N,N,N,Y) SOLUTN(AUX3,Y,Y,N,N,N,Y) SOLUTN(AUX2,Y,Y,N,N,N,Y) SOLUTN(AUX1,Y,Y,N,N,N,Y) SOLUTN(EXCT,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(C1,N,Y,Y,Y,Y,N) TERMS(AUX3,N,N,N,Y,N,N) TERMS(AUX2,N,N,N,Y,Y,N) TERMS(AUX1,N,N,N,Y,N,N) TERMS(EXCT,N,N,N,Y,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 =0. ;DRH1DP =0. EMISS =0. ;SCATT =0. RADIA =0. ;RADIB =0. ENUL =1. ;ENUT =0. PRNDTL(C1)=1. PRT(C1)=1. CP1 =1. ;CP2 =1. ************************************************************ Group 10.Inter-Phase Transfer Processes ************************************************************ Group 11.Initial field variables (PHIs) FIINIT(U1)=1. ;FIINIT(V1)=0. FIINIT(C1)=1.367879 ;FIINIT(EXAC)=1.0E-10 FIINIT(AUX3)=1.0E-10 ;FIINIT(AUX2)=1.0E-10 FIINIT(AUX1)=1.0E-10 ;FIINIT(EXCT)=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(ICON ,WEST , 1, 1, 1, 2, 1, 1, 1, 1) COVAL(ICON ,C1 ,1. ,1.367879 ) PATCH(IDIF ,WWALL , 1, 1, 1, 2, 1, 1, 1, 1) COVAL(IDIF ,C1 ,1. ,1.367879 ) PATCH(ODIF ,EWALL , 10, 10, 1, 2, 1, 1, 1, 1) COVAL(ODIF ,C1 ,1. ,4. ) PATCH(ISORC1 ,VOLUME, 1, 10, 1, 2, 1, 1, 1, 1) COVAL(ISORC1 ,C1 ,In-Form:source - see Grp 19) PATCH(ISORC2 ,VOLUME, 1, 10, 1, 2, 1, 1, 1, 1) COVAL(ISORC2 ,C1 ,In-Form:source - see Grp 19) PATCH(ISORC3 ,VOLUME, 1, 10, 1, 2, 1, 1, 1, 1) COVAL(ISORC3 ,C1 ,In-Form:source - see Grp 19) PATCH(IEXACT ,CELL , 1, 10, 1, 2, 1, 1, 1, 1) COVAL(IEXACT ,AUX3,In-Form:source - see Grp 19) COVAL(IEXACT ,AUX2,In-Form:source - see Grp 19) COVAL(IEXACT ,AUX1,In-Form:source - see Grp 19) COVAL(IEXACT ,EXCT,In-Form:source - see Grp 19) 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-05 ************************************************************ Group 16. Terminate Iterations LITER(C1)=20 ;LITER(AUX3)=20 LITER(AUX2)=20 ;LITER(AUX1)=20 LITER(EXCT)=20 ENDIT(C1)=1.0E-03 ;ENDIT(AUX3)=1.0E-03 ENDIT(AUX2)=1.0E-03 ;ENDIT(AUX1)=1.0E-03 ENDIT(EXCT)=1.0E-03 ************************************************************ Group 17. Relaxation RELAX(U1,LINRLX,1.) RELAX(V1,LINRLX,1.) RELAX(C1,FALSDT,1.0E+09) RELAX(EXAC,LINRLX,1.) RELAX(AUX3,FALSDT,1.0E+09) RELAX(AUX2,FALSDT,1.0E+09) RELAX(AUX1,FALSDT,1.0E+09) RELAX(EXCT,FALSDT,1.0E+09) OVRRLX =0. EXPERT = F ;NNORSL = F ************************************************************ Group 18. Limits VARMAX(U1)=1.0E+06 ;VARMIN(U1)=-1.0E+06 VARMAX(V1)=1.0E+06 ;VARMIN(V1)=-1.0E+06 VARMAX(C1)=1.0E+10 ;VARMIN(C1)=-1.0E+10 VARMAX(EXAC)=1.0E+10 ;VARMIN(EXAC)=-1.0E+10 VARMAX(AUX3)=1.0E+10 ;VARMIN(AUX3)=-1.0E+10 VARMAX(AUX2)=1.0E+10 ;VARMIN(AUX2)=-1.0E+10 VARMAX(AUX1)=1.0E+10 ;VARMIN(AUX1)=-1.0E+10 VARMAX(EXCT)=1.0E+10 ;VARMIN(EXCT)=-1.0E+10 ************************************************************ Group 19. Data transmitted to GROUND PARSOL = F ISG62 = 1 SPEDAT(SET,SOURCE,C1!ISORC1,C,=1.-2./3*XG) SPEDAT(SET,SOURCE,C1!ISORC2,C,=3.14159*COS(3.14159*XG)) SPEDAT(SET,SOURCE,C1!ISORC3,C,=3.14159^2*SIN(3.14159*XG)/1.) SPEDAT(SET,SOURCE,AUX1!IEXACT,C,=1.+XG+(XG)^2!FIXV) SPEDAT(SET,SOURCE,AUX2!IEXACT,C,=EXP(-1.*(1.-XG))!FIXV) SPEDAT(SET,SOURCE,AUX3!IEXACT,C,=SIN(3.14159*XG)!FIXV) SPEDAT(SET,SOURCE,EXCT!IEXACT,C,=AUX1+AUX2+AUX3!FIXV) SPEDAT(SET,STORED,EXAC,C,=1.+XG+(XG)^2+EXP(-1.*(1.-XG))+SIN(3.141$) SPEDAT(SET,STORED,EXAC,C,59*XG)!ZSLFIN) SPEDAT(SET,GXMONI,PLOTALL,L,T) RG( 1) =1. RG( 2) =3.14159 ************************************************************ Group 20. Preliminary Printout DISTIL = T ;NULLPR = F NDST = 0 DSTTOL =1.0E-02 EX(U1)=1. ;EX(V1)=0. EX(C1)=3.107 ;EX(EXAC)=3.104 EX(AUX3)=0.6392 ;EX(AUX2)=0.6319 EX(AUX1)=1.833 ;EX(EXCT)=3.104 ************************************************************ 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,N,N,N) OUTPUT(V1,Y,N,Y,N,N,N) OUTPUT(C1,Y,N,Y,Y,Y,Y) OUTPUT(EXAC,Y,N,Y,N,N,N) OUTPUT(AUX3,N,N,N,N,N,N) OUTPUT(AUX2,N,N,N,N,N,N) OUTPUT(AUX1,N,N,N,N,N,N) OUTPUT(EXCT,Y,N,N,N,N,N) ************************************************************ Group 22. Monitor Print-Out IXMON = 12 ;IYMON = 1 ;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 = -1 ;IXPRF = 1 ;IXPRL = 10000 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 No PATCHes yet used for this Group ************************************************************ Group 24. Dumps For Restarts SAVE = T ;NOWIPE = F NSAVE =CHAM STOP