TALK=T;RUN(1,1) PHOTON USE AUTOPLOT file phi 5 cl msg MHD PLANE COUETTE FLOW msg Hartmann number = 4 msg Velocity (W1) profile msg Blue line --- PHOENICS solution msg crosses --- analytical solution da 1 w1;da 1 w1a col3 1;blb4 2 msg pressto continue pause msg press to end pause end END_USE DISPLAY 123456789-123456789-123456789-123456789- DISPLAY This problem concerns the steady fully-developed laminar flow of an incompressible electrically-conducting fluid in the positive z-direction of a plane channel. The top wall of the channel is moving and the bottom wall is stationary. A uniform magnetic field By is imposed normal to the walls and a current jx is induced in the fluid in the x-direction, together with a magnetic field Bz in the z-direction. The problem neglects end effects, secondary flows, Hall effect and ion-slip phenomena. ENDDIS ************************************************************ Group 1. Run Title and Number ************************************************************ ************************************************************ TEXT(1D Laminar MHD Couette Flow ) ************************************************************ ************************************************************ IRUNN = 1 ;LIBREF = 14 ************************************************************ 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 = 50 YVLAST =1. YFRAC(1)=0.02 ;YFRAC(2)=0.04 YFRAC(3)=0.06 ;YFRAC(4)=0.08 YFRAC(5)=0.1 ;YFRAC(6)=0.12 YFRAC(7)=0.14 ;YFRAC(8)=0.16 YFRAC(9)=0.18 ;YFRAC(10)=0.2 YFRAC(11)=0.22 ;YFRAC(12)=0.24 YFRAC(13)=0.26 ;YFRAC(14)=0.28 YFRAC(15)=0.3 ;YFRAC(16)=0.32 YFRAC(17)=0.34 ;YFRAC(18)=0.36 YFRAC(19)=0.38 ;YFRAC(20)=0.4 YFRAC(21)=0.42 ;YFRAC(22)=0.44 YFRAC(23)=0.46 ;YFRAC(24)=0.48 YFRAC(25)=0.5 ;YFRAC(26)=0.52 YFRAC(27)=0.54 ;YFRAC(28)=0.56 YFRAC(29)=0.58 ;YFRAC(30)=0.6 YFRAC(31)=0.62 ;YFRAC(32)=0.64 YFRAC(33)=0.66 ;YFRAC(34)=0.68 YFRAC(35)=0.7 ;YFRAC(36)=0.72 YFRAC(37)=0.74 ;YFRAC(38)=0.76 YFRAC(39)=0.78 ;YFRAC(40)=0.8 YFRAC(41)=0.82 ;YFRAC(42)=0.84 YFRAC(43)=0.86 ;YFRAC(44)=0.88 YFRAC(45)=0.9 ;YFRAC(46)=0.92 YFRAC(47)=0.94 ;YFRAC(48)=0.96 YFRAC(49)=0.98 ;YFRAC(50)=1. ************************************************************ Group 5. Z-Direction Grid Spacing PARAB = T NZ = 1 ZWLAST =1. ZFRAC(1)=1. ************************************************************ Group 6. Body-Fitted Coordinates ************************************************************ Group 7. Variables: STOREd,SOLVEd,NAMEd ONEPHS = T NAME(7)=W1 ;NAME(150)=W1A * 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(W1A,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(W1,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 =1. ;ENUT =0. PRNDTL(W1)=1. PRT(W1)=1. CP1 =1. ;CP2 =1. ************************************************************ Group 10.Inter-Phase Transfer Processes ************************************************************ Group 11.Initial field variables (PHIs) FIINIT(W1)=1.0E-10 ;FIINIT(W1A)=1.0E-10 PATCH(IN1 ,INIVAL, 1, 1, 1, 1, 1, 1, 1, 1) INIT(IN1 ,W1A ,0. ,1.466134E-03 ) PATCH(IN2 ,INIVAL, 1, 1, 2, 2, 1, 1, 1, 1) INIT(IN2 ,W1A ,0. ,4.40779E-03 ) PATCH(IN3 ,INIVAL, 1, 1, 3, 3, 1, 1, 1, 1) INIT(IN3 ,W1A ,0. ,7.37767E-03 ) PATCH(IN4 ,INIVAL, 1, 1, 4, 4, 1, 1, 1, 1) INIT(IN4 ,W1A ,0. ,0.010395 ) PATCH(IN5 ,INIVAL, 1, 1, 5, 5, 1, 1, 1, 1) INIT(IN5 ,W1A ,0. ,0.013478 ) PATCH(IN6 ,INIVAL, 1, 1, 6, 6, 1, 1, 1, 1) INIT(IN6 ,W1A ,0. ,0.016648 ) PATCH(IN7 ,INIVAL, 1, 1, 7, 7, 1, 1, 1, 1) INIT(IN7 ,W1A ,0. ,0.019925 ) PATCH(IN8 ,INIVAL, 1, 1, 8, 8, 1, 1, 1, 1) INIT(IN8 ,W1A ,0. ,0.023329 ) PATCH(IN9 ,INIVAL, 1, 1, 9, 9, 1, 1, 1, 1) INIT(IN9 ,W1A ,0. ,0.026883 ) PATCH(IN10 ,INIVAL, 1, 1, 10, 10, 1, 1, 1, 1) INIT(IN10 ,W1A ,0. ,0.030609 ) PATCH(IN11 ,INIVAL, 1, 1, 11, 11, 1, 1, 1, 1) INIT(IN11 ,W1A ,0. ,0.03453 ) PATCH(IN12 ,INIVAL, 1, 1, 12, 12, 1, 1, 1, 1) INIT(IN12 ,W1A ,0. ,0.038673 ) PATCH(IN13 ,INIVAL, 1, 1, 13, 13, 1, 1, 1, 1) INIT(IN13 ,W1A ,0. ,0.043064 ) PATCH(IN14 ,INIVAL, 1, 1, 14, 14, 1, 1, 1, 1) INIT(IN14 ,W1A ,0. ,0.04773 ) PATCH(IN15 ,INIVAL, 1, 1, 15, 15, 1, 1, 1, 1) INIT(IN15 ,W1A ,0. ,0.052702 ) PATCH(IN16 ,INIVAL, 1, 1, 16, 16, 1, 1, 1, 1) INIT(IN16 ,W1A ,0. ,0.058011 ) PATCH(IN17 ,INIVAL, 1, 1, 17, 17, 1, 1, 1, 1) INIT(IN17 ,W1A ,0. ,0.063692 ) PATCH(IN18 ,INIVAL, 1, 1, 18, 18, 1, 1, 1, 1) INIT(IN18 ,W1A ,0. ,0.06978 ) PATCH(IN19 ,INIVAL, 1, 1, 19, 19, 1, 1, 1, 1) INIT(IN19 ,W1A ,0. ,0.076316 ) PATCH(IN20 ,INIVAL, 1, 1, 20, 20, 1, 1, 1, 1) INIT(IN20 ,W1A ,0. ,0.08334 ) PATCH(IN21 ,INIVAL, 1, 1, 21, 21, 1, 1, 1, 1) INIT(IN21 ,W1A ,0. ,0.090898 ) PATCH(IN22 ,INIVAL, 1, 1, 22, 22, 1, 1, 1, 1) INIT(IN22 ,W1A ,0. ,0.099038 ) PATCH(IN23 ,INIVAL, 1, 1, 23, 23, 1, 1, 1, 1) INIT(IN23 ,W1A ,0. ,0.107812 ) PATCH(IN24 ,INIVAL, 1, 1, 24, 24, 1, 1, 1, 1) INIT(IN24 ,W1A ,0. ,0.117276 ) PATCH(IN25 ,INIVAL, 1, 1, 25, 25, 1, 1, 1, 1) INIT(IN25 ,W1A ,0. ,0.127492 ) PATCH(IN26 ,INIVAL, 1, 1, 26, 26, 1, 1, 1, 1) INIT(IN26 ,W1A ,0. ,0.138523 ) PATCH(IN27 ,INIVAL, 1, 1, 27, 27, 1, 1, 1, 1) INIT(IN27 ,W1A ,0. ,0.150442 ) PATCH(IN28 ,INIVAL, 1, 1, 28, 28, 1, 1, 1, 1) INIT(IN28 ,W1A ,0. ,0.163324 ) PATCH(IN29 ,INIVAL, 1, 1, 29, 29, 1, 1, 1, 1) INIT(IN29 ,W1A ,0. ,0.177252 ) PATCH(IN30 ,INIVAL, 1, 1, 30, 30, 1, 1, 1, 1) INIT(IN30 ,W1A ,0. ,0.192315 ) PATCH(IN31 ,INIVAL, 1, 1, 31, 31, 1, 1, 1, 1) INIT(IN31 ,W1A ,0. ,0.20861 ) PATCH(IN32 ,INIVAL, 1, 1, 32, 32, 1, 1, 1, 1) INIT(IN32 ,W1A ,0. ,0.22624 ) PATCH(IN33 ,INIVAL, 1, 1, 33, 33, 1, 1, 1, 1) INIT(IN33 ,W1A ,0. ,0.245319 ) PATCH(IN34 ,INIVAL, 1, 1, 34, 34, 1, 1, 1, 1) INIT(IN34 ,W1A ,0. ,0.265969 ) PATCH(IN35 ,INIVAL, 1, 1, 35, 35, 1, 1, 1, 1) INIT(IN35 ,W1A ,0. ,0.288322 ) PATCH(IN36 ,INIVAL, 1, 1, 36, 36, 1, 1, 1, 1) INIT(IN36 ,W1A ,0. ,0.312521 ) PATCH(IN37 ,INIVAL, 1, 1, 37, 37, 1, 1, 1, 1) INIT(IN37 ,W1A ,0. ,0.338721 ) PATCH(IN38 ,INIVAL, 1, 1, 38, 38, 1, 1, 1, 1) INIT(IN38 ,W1A ,0. ,0.367091 ) PATCH(IN39 ,INIVAL, 1, 1, 39, 39, 1, 1, 1, 1) INIT(IN39 ,W1A ,0. ,0.397811 ) PATCH(IN40 ,INIVAL, 1, 1, 40, 40, 1, 1, 1, 1) INIT(IN40 ,W1A ,0. ,0.431078 ) PATCH(IN41 ,INIVAL, 1, 1, 41, 41, 1, 1, 1, 1) INIT(IN41 ,W1A ,0. ,0.467106 ) PATCH(IN42 ,INIVAL, 1, 1, 42, 42, 1, 1, 1, 1) INIT(IN42 ,W1A ,0. ,0.506125 ) PATCH(IN43 ,INIVAL, 1, 1, 43, 43, 1, 1, 1, 1) INIT(IN43 ,W1A ,0. ,0.548384 ) PATCH(IN44 ,INIVAL, 1, 1, 44, 44, 1, 1, 1, 1) INIT(IN44 ,W1A ,0. ,0.594156 ) PATCH(IN45 ,INIVAL, 1, 1, 45, 45, 1, 1, 1, 1) INIT(IN45 ,W1A ,0. ,0.643731 ) PATCH(IN46 ,INIVAL, 1, 1, 46, 46, 1, 1, 1, 1) INIT(IN46 ,W1A ,0. ,0.69743 ) PATCH(IN47 ,INIVAL, 1, 1, 47, 47, 1, 1, 1, 1) INIT(IN47 ,W1A ,0. ,0.755593 ) PATCH(IN48 ,INIVAL, 1, 1, 48, 48, 1, 1, 1, 1) INIT(IN48 ,W1A ,0. ,0.818596 ) PATCH(IN49 ,INIVAL, 1, 1, 49, 49, 1, 1, 1, 1) INIT(IN49 ,W1A ,0. ,0.88684 ) PATCH(IN50 ,INIVAL, 1, 1, 50, 50, 1, 1, 1, 1) INIT(IN50 ,W1A ,0. ,0.960763 ) 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(WALLTOP ,NWALL , 1, 1, 50, 50, 1, 1, 1, 1) COVAL(WALLTOP ,W1 ,1. ,1. ) PATCH(WALLBOT ,SWALL , 1, 1, 1, 1, 1, 1, 1, 1) COVAL(WALLBOT ,W1 ,1. ,0. ) PATCH(MHDFOR ,VOLUME, 1, 1, 1, 50, 1, 1, 1, 1) COVAL(MHDFOR ,W1 ,16. ,0. ) XCYCLE = F EGWF = T WALLCO = GRND2 ************************************************************ Group 14. Downstream Pressure For PARAB IPARAB = 0 AZPH =0. ;PBAR =0. ************************************************************ Group 15. Terminate Sweeps LSWEEP = 1 ;ISWC1 = 1 LITHYD = 10 ;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,1.) RELAX(W1A,LINRLX,1.) OVRRLX =0. EXPERT = F ;NNORSL = F ************************************************************ Group 18. Limits VARMAX(W1)=1.0E+06 ;VARMIN(W1)=-1.0E+06 VARMAX(W1A)=1.0E+10 ;VARMIN(W1A)=-1.0E+10 ************************************************************ Group 19. Data transmitted to GROUND PARSOL = F 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(W1A,Y,N,Y,N,N,N) ************************************************************ Group 22. Monitor Print-Out IXMON = 1 ;IYMON = 50 ;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 NZPRIN = 1 ;IZPRF = 1 ;IZPRL = 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