TALK=T;RUN(1,1) PHOTON USE p gr ou z 1 msg Temperature contours msg (Numerical solution) con h1 z 1 fi;0.001 msg Press Enter to continue pause con off;red con exac z 1 fi;0.001 msg Temperature contours msg (Exact solution) msg Press e to END ENDUSE DISPLAY PLANT solves a two-dimensional steady diffusion problem with space-dependent source and boundary conditions. It can be tested against exact solution fields. Governing equation: d(dT/dX)/dX + d(dT/dX)/dX + S(X,Y) = 0 S(X,Y) = 2.sinX.sinY Boundary conditions: Y = 0 ; T = 0 Y = 1 ; T = sin1.sinX X = 0 ; T = 0 X = 1 ; T = sin1.sinY Exact solution: T(X,Y) = sinX.sinY ENDDIS PLANTBEGIN ** H1=sin1.sinX at Y=1 PATCH(YEQ1,NWALL,1,NX,NY,NY,1,1,1,1)VAL=SIN(1.)*SIN(XG2D) COVAL(YEQ1,H1,1./PRNDTL(H1),GRND) ** H1=sin1.sinY at X=1 PATCH(XEQ1,EWALL,NX,NX,1,NY,1,1,1,1) VAL=SIN(1.)*SIN(YG2D) COVAL(XEQ1,H1,1./PRNDTL(H1),GRND) ** Space dependent source PATCH(SOURCE,VOLUME,1,NX,1,NY,1,1,1,1) VAL=2.*SIN(XG2D)*SIN(YG2D) COVAL(SOURCE,H1,FIXFLU,GRND) STORE(EXAC) EXAC=SIN(XG2D)*SIN(YG2D) PLANTEND ************************************************************ Group 1. Run Title and Number ************************************************************ ************************************************************ TEXT(2D HEAT CONDUCTION WITH SPACE DEPENDENT ) ************************************************************ ************************************************************ IRUNN = 1 ;LIBREF = 117 ************************************************************ Group 2. Time dependence STEADY = T ************************************************************ Group 3. X-Direction Grid Spacing CARTES = T NX = 25 XULAST =1. XFRAC(1)=0.04 ;XFRAC(6)=0.24 XFRAC(11)=0.44 ;XFRAC(16)=0.64 XFRAC(21)=0.84 ************************************************************ Group 4. Y-Direction Grid Spacing NY = 25 YVLAST =1. YFRAC(1)=0.04 ;YFRAC(6)=0.24 YFRAC(11)=0.44 ;YFRAC(16)=0.64 YFRAC(21)=0.84 ************************************************************ 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(14)=H1 ;NAME(150)=EXAC * Y in SOLUTN argument list denotes: * 1-stored 2-solved 3-whole-field * 4-point-by-point 5-explicit 6-harmonic averaging SOLUTN(H1,Y,Y,N,N,N,Y) SOLUTN(EXAC,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(H1,N,N,Y,N,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(H1)=1. PRT(H1)=1. CP1 =1. ;CP2 =1. ************************************************************ Group 10.Inter-Phase Transfer Processes ************************************************************ Group 11.Initial field variables (PHIs) FIINIT(H1)=1.0E-10 ;FIINIT(EXAC)=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(XEQ0 ,WWALL , 1, 1, 1, 25, 1, 1, 1, 1) COVAL(XEQ0 ,H1 ,1. ,0. ) PATCH(YEQ0 ,SWALL , 1, 25, 1, 1, 1, 1, 1, 1) COVAL(YEQ0 ,H1 ,1. ,0. ) PATCH(YEQ1 ,NWALL , 1, 25, 25, 25, 1, 1, 1, 1) COVAL(YEQ1 ,H1 ,1. , GRND ) PATCH(XEQ1 ,EWALL , 25, 25, 1, 25, 1, 1, 1, 1) COVAL(XEQ1 ,H1 ,1. , GRND ) PATCH(SOURCE ,VOLUME, 1, 25, 1, 25, 1, 1, 1, 1) COVAL(SOURCE ,H1 , FIXFLU , GRND ) 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(H1)=20 ENDIT(H1)=1.0E-03 ************************************************************ Group 17. Relaxation RELAX(H1,FALSDT,1.0E+09) RELAX(EXAC,LINRLX,1.) OVRRLX =0. EXPERT = F ;NNORSL = F ************************************************************ Group 18. Limits VARMAX(H1)=1.0E+10 ;VARMIN(H1)=-1.0E+10 VARMAX(EXAC)=1.0E+10 ;VARMIN(EXAC)=-1.0E+10 ************************************************************ Group 19. Data transmitted to GROUND NAMSAT =MOSG 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(H1)=0.2114 ;EX(EXAC)=0.2114 ************************************************************ 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(H1,Y,Y,Y,Y,Y,Y) OUTPUT(EXAC,Y,N,Y,N,N,N) ************************************************************ Group 22. Monitor Print-Out IXMON = 13 ;IYMON = 13 ;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 = 5 ;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