TALK=T;RUN(1,1) PHOTON USE p gr z 1 msg Grid msg vec z 1 sh MSG Velocity vectors msg msg Press return to redraw pause gr off; gr ou z 1; red msg Press return to plot pressure contours pause cont p1 z 1 fil;.001 msg msg Type e to End ENDUSE DISPLAY This case simulates Prandtl-Meyer turning. The geometry is depicted below: North boundary (not shown) is curved to follow the theoretical position of the streamline. y ^ / |---------------------- V Uniform | in flow | / at Mach | / number | / 1.0 | / \ | / Outlet boundary is set | / to coincide with a |----------->-------/ characteristic line. x The North boundary is impervious to flow because it is located along a streamline (the location of which is calculated from Prandtl-Meyer expansion theory). At the exit, the pressure is fixed to the constant value that pertains to the characteristic line along which the exit boundary is prescribed to run. The last row of cells is very thin compared to the others to ensure the accuracy of this pressure fixation. The grid lines of constant I are set to be coincident with the theoretically-calculated locations of the characteristic lines. The grid lines of constant J are uniformly spaced, and hence must correspond to streamlines. The predicted contours of pressure are very close to the grid lines of constant I, which demonstrates the ability of EARTH to calculate accurately Prandtl-Meyer turning. ENDDIS ************************************************************ Group 1. Run Title and Number ************************************************************ ************************************************************ TEXT(PRANDTL-MEYER turning in the X-Y: B536) ************************************************************ ************************************************************ IRUNN = 1 ;LIBREF = 14 ************************************************************ Group 2. Time dependence STEADY = T ************************************************************ Group 3. X-Direction Grid Spacing CARTES = T NX = 13 XULAST =1. ************************************************************ Group 4. Y-Direction Grid Spacing NY = 5 YVLAST =1. ************************************************************ Group 5. Z-Direction Grid Spacing PARAB = F NZ = 1 ZWLAST =1. ************************************************************ Group 6. Body-Fitted Coordinates BFC = T ;NONORT = T NCRT = -1 RSTGEO = F ;SAVGEO = F UUP = F ;VUP = F ;WUP = F NGEOM =CHAM NAMXYZ =CHAM ANGMIN =20. DOMAIN( 1, 14, 1, 6, 1, 1) * Set fixed sub-domain FIXDOM( 1, 0, 0, 0, 0, 0, 0) FIXDOM( 2, 0, 0, 0, 0, 0, 0) FIXDOM( 3, 0, 0, 0, 0, 0, 0) FIXDOM( 4, 0, 0, 0, 0, 0, 0) FIXDOM( 5, 0, 0, 0, 0, 0, 0) FIXDOM( 6, 0, 0, 0, 0, 0, 0) FIXDOM( 7, 0, 0, 0, 0, 0, 0) FIXDOM( 8, 0, 0, 0, 0, 0, 0) FIXDOM( 9, 0, 0, 0, 0, 0, 0) FIXDOM( 10, 0, 0, 0, 0, 0, 0) LIJ = F ;LJK = T ;LIK = F IMON = 7 ;JMON = 3 ;KMON = 1 ************************************************************ Group 7. Variables: STOREd,SOLVEd,NAMEd ONEPHS = T NAME(1)=P1 ;NAME(3)=U1 NAME(5)=V1 ;NAME(148)=WCRT NAME(149)=VCRT ;NAME(150)=UCRT * Y in SOLUTN argument list denotes: * 1-stored 2-solved 3-whole-field * 4-point-by-point 5-explicit 6-harmonic averaging SOLUTN(P1,Y,Y,N,N,N,Y) SOLUTN(U1,Y,Y,N,N,N,Y) SOLUTN(V1,Y,Y,N,N,N,Y) SOLUTN(WCRT,Y,N,N,N,N,N) SOLUTN(VCRT,Y,N,N,N,N,N) SOLUTN(UCRT,Y,N,N,N,N,N) ************************************************************ 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(P1,Y,Y,Y,N,Y,Y) TERMS(U1,Y,Y,Y,Y,Y,Y) TERMS(V1,Y,Y,Y,Y,Y,Y) DIFCUT =0.5 ;ZDIFAC =1. GALA = F ;ADDDIF = F NEWRH1 = 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 = GRND3 ;TMP1 =0. ;EL1 =0. TSURR =0. ;TEMP0 =0. ;PRESS0 =0. DVO1DT =0. ;DRH1DP =0. RHO1A =2.682695E-04 ;RHO1B =0.714286 ;RHO1C =0. EMISS =0. ;SCATT =0. RADIA =0. ;RADIB =0. ENUL =1.0E-10 ;ENUT =0. PRNDTL(U1)=1. ;PRNDTL(V1)=1. PRT(U1)=1. ;PRT(V1)=1. CP1 =1. ;CP2 =1. ************************************************************ Group 10.Inter-Phase Transfer Processes ************************************************************ Group 11.Initial field variables (PHIs) FIINIT(P1)=5.0E+04 ;FIINIT(U1)=341.565033 FIINIT(V1)=1.0E-10 ;FIINIT(WCRT)=1.0E-10 FIINIT(VCRT)=1.0E-10 ;FIINIT(UCRT)=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(INLET ,WEST , 1, 1, 1, 5, 1, 1, 1, 1) COVAL(INLET ,P1 , FIXFLU ,216.531235 ) COVAL(INLET ,U1 ,0. ,341.565033 ) COVAL(INLET ,V1 ,0. ,0. ) PATCH(OUTLET ,CELL , 13, 13, 1, 5, 1, 1, 1, 1) COVAL(OUTLET ,P1 ,1000. ,1.270113E+04 ) 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(P1)=20 ;LITER(U1)=10 LITER(V1)=10 ENDIT(P1)=1.0E-03 ;ENDIT(U1)=1.0E-03 ENDIT(V1)=1.0E-03 ************************************************************ Group 17. Relaxation RELAX(P1,LINRLX,1.) RELAX(U1,FALSDT,5.8554E-04) RELAX(V1,FALSDT,5.8554E-04) RELAX(WCRT,LINRLX,1.) RELAX(VCRT,LINRLX,1.) RELAX(UCRT,LINRLX,1.) OVRRLX =0. EXPERT = F ;NNORSL = F ************************************************************ Group 18. Limits VARMAX(P1)=1.0E+10 ;VARMIN(P1)=-1.0E+10 VARMAX(U1)=1.0E+06 ;VARMIN(U1)=-1.0E+06 VARMAX(V1)=1.0E+06 ;VARMIN(V1)=-1.0E+06 VARMAX(WCRT)=1.0E+10 ;VARMIN(WCRT)=-1.0E+10 VARMAX(VCRT)=1.0E+10 ;VARMIN(VCRT)=-1.0E+10 VARMAX(UCRT)=1.0E+10 ;VARMIN(UCRT)=-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(P1,Y,N,Y,Y,Y,Y) OUTPUT(U1,Y,N,Y,Y,Y,Y) OUTPUT(V1,Y,N,Y,Y,Y,Y) OUTPUT(WCRT,Y,N,Y,N,N,N) OUTPUT(VCRT,Y,N,Y,N,N,N) OUTPUT(UCRT,Y,N,Y,N,N,N) ************************************************************ Group 22. Monitor Print-Out IXMON = 1 ;IYMON = 3 ;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 PATCH(MAP ,CONTUR, 1, 13, 1, 5, 1, 1, 1, 1) PLOT(MAP ,P1 ,0. ,20. ) ************************************************************ Group 24. Dumps For Restarts SAVE = T ;NOWIPE = F NSAVE =CHAM STOP