TALK=T;RUN(1,1) DISPLAY When a cartesian coordinate system rotates about an axis normal to is x-y plane, the x- and y-direction momentum equations have additional terms representing centrifugal and coriolis acceler- ations. In the present case, these terms are supplied by way of In-Form sources, appropriate to the clockwise rotation about an axis at x=0 and y=0. The boundary conditions correspond to rotation of the grid within a fluid which is wholly at rest, for which the exact solution is of course: for the velocities, solid-body rotation relative to the grid in the anti-clockwise direction; and for the pressure, absence of pressure gradients. An interesting result is found, for which the reason is not perfectly clear: whether the grid is coarse (5*5) or fine (100*100), pressure gradients are in fact absent only when the nominal source terms are multiplied by a factor approximately equal to 1/3. Velocity and pressure fields for the 100*100 case may be seen by clicking here and here. The difference of pressure is 0.74 N/m**2 from bottom-left to top-right, which should be compared with approximately 100 N/m**2 when the factor is zero and approximately -200 N/m**2 when the factor is unity. The reason for this requires to be investigated. ENDDIS display This case is like 369; but both the x-wise and t-wise grids are strongly non-uniform. The motion is nevertheless imparted to the fluid, because whenever the box finds itself in a cell which is larger than itself, it "expands" so as to fill the cell. This expansion is performed automatically within 'EARTH'. ENDDIS ************************************************************ Group 1. Run Title and Number ************************************************************ ************************************************************ TEXT(Rotating coordinates ) ************************************************************ ************************************************************ IRUNN = 1 ;LIBREF = 374 ************************************************************ Group 2. Time dependence STEADY = T ************************************************************ Group 3. X-Direction Grid Spacing CARTES = T NX = 100 XULAST =1. XFRAC(1)=7.257084E-06 ;XFRAC(2)=1.523988E-05 XFRAC(3)=2.402095E-05 ;XFRAC(4)=3.368013E-05 XFRAC(5)=4.430523E-05 ;XFRAC(6)=5.599283E-05 XFRAC(7)=6.88492E-05 ;XFRAC(8)=8.299121E-05 XFRAC(9)=9.854741E-05 ;XFRAC(10)=1.156592E-04 XFRAC(11)=1.344823E-04 ;XFRAC(12)=1.551876E-04 XFRAC(13)=1.779634E-04 ;XFRAC(14)=2.030168E-04 XFRAC(15)=2.305756E-04 ;XFRAC(16)=2.608903E-04 XFRAC(17)=2.942364E-04 ;XFRAC(18)=3.309171E-04 XFRAC(19)=3.712659E-04 ;XFRAC(20)=4.156496E-04 XFRAC(21)=4.644717E-04 ;XFRAC(22)=5.181759E-04 XFRAC(23)=5.772507E-04 ;XFRAC(24)=6.422328E-04 XFRAC(25)=7.137132E-04 ;XFRAC(26)=7.923416E-04 XFRAC(27)=8.788329E-04 ;XFRAC(28)=9.739733E-04 XFRAC(29)=1.078628E-03 ;XFRAC(30)=1.193748E-03 XFRAC(31)=1.32038E-03 ;XFRAC(32)=1.459675E-03 XFRAC(33)=1.612899E-03 ;XFRAC(34)=1.781446E-03 XFRAC(35)=1.966848E-03 ;XFRAC(36)=2.17079E-03 XFRAC(37)=2.395126E-03 ;XFRAC(38)=2.641896E-03 XFRAC(39)=2.913342E-03 ;XFRAC(40)=3.211934E-03 XFRAC(41)=3.540384E-03 ;XFRAC(42)=3.90168E-03 XFRAC(43)=4.299105E-03 ;XFRAC(44)=4.736273E-03 XFRAC(45)=5.217157E-03 ;XFRAC(46)=5.74613E-03 XFRAC(47)=6.328001E-03 ;XFRAC(48)=6.968058E-03 XFRAC(49)=7.672121E-03 ;XFRAC(50)=8.44659E-03 XFRAC(51)=9.298506E-03 ;XFRAC(52)=0.010236 XFRAC(53)=0.011266 ;XFRAC(54)=0.0124 XFRAC(55)=0.013648 ;XFRAC(56)=0.01502 XFRAC(57)=0.016529 ;XFRAC(58)=0.018189 XFRAC(59)=0.020015 ;XFRAC(60)=0.022024 XFRAC(61)=0.024234 ;XFRAC(62)=0.026664 XFRAC(63)=0.029338 ;XFRAC(64)=0.032279 XFRAC(65)=0.035514 ;XFRAC(66)=0.039073 XFRAC(67)=0.042987 ;XFRAC(68)=0.047293 XFRAC(69)=0.05203 ;XFRAC(70)=0.05724 XFRAC(71)=0.062971 ;XFRAC(72)=0.069276 XFRAC(73)=0.076211 ;XFRAC(74)=0.083839 XFRAC(75)=0.09223 ;XFRAC(76)=0.10146 XFRAC(77)=0.111614 ;XFRAC(78)=0.122782 XFRAC(79)=0.135068 ;XFRAC(80)=0.148582 XFRAC(81)=0.163447 ;XFRAC(82)=0.179799 XFRAC(83)=0.197786 ;XFRAC(84)=0.217572 XFRAC(85)=0.239337 ;XFRAC(86)=0.263278 XFRAC(87)=0.289613 ;XFRAC(88)=0.318581 XFRAC(89)=0.350447 ;XFRAC(90)=0.385499 XFRAC(91)=0.424056 ;XFRAC(92)=0.466469 XFRAC(93)=0.513123 ;XFRAC(94)=0.564442 XFRAC(95)=0.620894 ;XFRAC(96)=0.68299 XFRAC(97)=0.751297 ;XFRAC(98)=0.826434 XFRAC(99)=0.909084 ;XFRAC(100)=1. ************************************************************ Group 4. Y-Direction Grid Spacing NY = 100 YVLAST =1. YFRAC(1)=1.0E-02 ;YFRAC(2)=0.02 YFRAC(3)=0.03 ;YFRAC(4)=0.04 YFRAC(5)=0.05 ;YFRAC(6)=0.06 YFRAC(7)=0.07 ;YFRAC(8)=0.08 YFRAC(9)=0.09 ;YFRAC(10)=0.1 YFRAC(11)=0.11 ;YFRAC(12)=0.12 YFRAC(13)=0.13 ;YFRAC(14)=0.14 YFRAC(15)=0.15 ;YFRAC(16)=0.16 YFRAC(17)=0.17 ;YFRAC(18)=0.18 YFRAC(19)=0.19 ;YFRAC(20)=0.2 YFRAC(21)=0.21 ;YFRAC(22)=0.22 YFRAC(23)=0.23 ;YFRAC(24)=0.24 YFRAC(25)=0.25 ;YFRAC(26)=0.26 YFRAC(27)=0.27 ;YFRAC(28)=0.28 YFRAC(29)=0.29 ;YFRAC(30)=0.3 YFRAC(31)=0.31 ;YFRAC(32)=0.32 YFRAC(33)=0.33 ;YFRAC(34)=0.34 YFRAC(35)=0.35 ;YFRAC(36)=0.36 YFRAC(37)=0.37 ;YFRAC(38)=0.38 YFRAC(39)=0.39 ;YFRAC(40)=0.4 YFRAC(41)=0.41 ;YFRAC(42)=0.42 YFRAC(43)=0.43 ;YFRAC(44)=0.44 YFRAC(45)=0.45 ;YFRAC(46)=0.46 YFRAC(47)=0.47 ;YFRAC(48)=0.48 YFRAC(49)=0.49 ;YFRAC(50)=0.5 YFRAC(51)=0.51 ;YFRAC(52)=0.52 YFRAC(53)=0.53 ;YFRAC(54)=0.54 YFRAC(55)=0.55 ;YFRAC(56)=0.56 YFRAC(57)=0.57 ;YFRAC(58)=0.58 YFRAC(59)=0.59 ;YFRAC(60)=0.6 YFRAC(61)=0.61 ;YFRAC(62)=0.62 YFRAC(63)=0.63 ;YFRAC(64)=0.64 YFRAC(65)=0.65 ;YFRAC(66)=0.66 YFRAC(67)=0.67 ;YFRAC(68)=0.68 YFRAC(69)=0.69 ;YFRAC(70)=0.7 YFRAC(71)=0.71 ;YFRAC(72)=0.72 YFRAC(73)=0.73 ;YFRAC(74)=0.74 YFRAC(75)=0.75 ;YFRAC(76)=0.76 YFRAC(77)=0.77 ;YFRAC(78)=0.78 YFRAC(79)=0.79 ;YFRAC(80)=0.8 YFRAC(81)=0.81 ;YFRAC(82)=0.82 YFRAC(83)=0.83 ;YFRAC(84)=0.84 YFRAC(85)=0.85 ;YFRAC(86)=0.86 YFRAC(87)=0.87 ;YFRAC(88)=0.88 YFRAC(89)=0.89 ;YFRAC(90)=0.9 YFRAC(91)=0.91 ;YFRAC(92)=0.92 YFRAC(93)=0.93 ;YFRAC(94)=0.94 YFRAC(95)=0.95 ;YFRAC(96)=0.96 YFRAC(97)=0.97 ;YFRAC(98)=0.98 YFRAC(99)=0.99 ;YFRAC(100)=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(1)=P1 ;NAME(3)=U1 NAME(5)=V1 ;NAME(147)=AEP1 NAME(148)=RSU1 ;NAME(149)=VGRD NAME(150)=UGRD * 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(AEP1,Y,N,N,N,N,Y) SOLUTN(RSU1,Y,N,N,N,N,Y) SOLUTN(VGRD,Y,N,N,N,N,Y) SOLUTN(UGRD,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(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 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 =0. ;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)=0. ;FIINIT(U1)=1.0E-10 FIINIT(V1)=1.0E-10 ;FIINIT(AEP1)=1.0E-10 FIINIT(RSU1)=1.0E-10 ;FIINIT(VGRD)=1.0E-10 FIINIT(UGRD)=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(WHOLE ,CELL , 1, 100, 1, 100, 1, 1, 1, 1) PATCH(NORTH ,CELL , 1, 100, 100, 100, 1, 1, 1, 1) COVAL(NORTH ,P1 , FIXVAL ,0. ) PATCH(SOUTH ,CELL , 1, 100, 1, 1, 1, 1, 1, 1) COVAL(SOUTH ,P1 , FIXVAL ,0. ) PATCH(EAST ,CELL , 100, 100, 1, 100, 1, 1, 1, 1) COVAL(EAST ,P1 , FIXVAL ,0. ) PATCH(WEST ,CELL , 1, 1, 1, 100, 1, 1, 1, 1) COVAL(WEST ,P1 , FIXVAL ,0. ) PATCH(MIDDLE ,CELL , 50, 50, 50, 50, 1, 1, 1, 1) COVAL(MIDDLE ,P1 , FIXVAL ,0. ) PATCH(UNORTH ,VOLUME, 1, 99, 100, 100, 1, 1, 1, 1) COVAL(UNORTH ,U1 ,In-Form:source - see Grp 19) PATCH(USOUTH ,VOLUME, 1, 99, 1, 1, 1, 1, 1, 1) COVAL(USOUTH ,U1 ,In-Form:source - see Grp 19) PATCH(UEAST ,VOLUME, 99, 99, 1, 100, 1, 1, 1, 1) COVAL(UEAST ,U1 ,In-Form:source - see Grp 19) PATCH(UWEST ,VOLUME, 1, 1, 1, 100, 1, 1, 1, 1) COVAL(UWEST ,U1 ,In-Form:source - see Grp 19) PATCH(VNORTH ,VOLUME, 1, 100, 99, 99, 1, 1, 1, 1) COVAL(VNORTH ,V1 ,In-Form:source - see Grp 19) PATCH(VSOUTH ,VOLUME, 1, 100, 1, 1, 1, 1, 1, 1) COVAL(VSOUTH ,V1 ,In-Form:source - see Grp 19) PATCH(VEAST ,VOLUME, 100, 100, 1, 99, 1, 1, 1, 1) COVAL(VEAST ,V1 ,In-Form:source - see Grp 19) PATCH(VWEST ,VOLUME, 1, 1, 1, 99, 1, 1, 1, 1) COVAL(VWEST ,V1 ,In-Form:source - see Grp 19) PATCH(USOURCE ,VOLUME, 1, 99, 1, 100, 1, 1, 1, 1) COVAL(USOURCE ,U1 ,In-Form:source - see Grp 19) PATCH(VSOURCE ,VOLUME, 1, 100, 1, 99, 1, 1, 1, 1) COVAL(VSOURCE ,V1 ,In-Form:source - see Grp 19) XCYCLE = F EGWF = T WALLCO = GRND2 ************************************************************ Group 14. Downstream Pressure For PARAB ************************************************************ Group 15. Terminate Sweeps LSWEEP = 1000 ;ISWC1 = 1 LITHYD = 1 ;LITFLX = 1 ;LITC = 1 ;ITHC1 = 1 SELREF = T RESFAC =1.0E-03 ************************************************************ 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,0.1) RELAX(V1,FALSDT,0.1) RELAX(AEP1,LINRLX,1.) RELAX(RSU1,LINRLX,1.) RELAX(VGRD,LINRLX,1.) RELAX(UGRD,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(AEP1)=1.0E+10 ;VARMIN(AEP1)=-1.0E+10 VARMAX(RSU1)=1.0E+10 ;VARMIN(RSU1)=-1.0E+10 VARMAX(VGRD)=1.0E+10 ;VARMIN(VGRD)=-1.0E+10 VARMAX(UGRD)=1.0E+10 ;VARMIN(UGRD)=-1.0E+10 ************************************************************ Group 19. Data transmitted to GROUND PARSOL = F ISG52 = 2 ISG62 = 1 SPEDAT(SET,INITIAL,UGRD,C,=10.*YG) SPEDAT(SET,INITIAL,VGRD,C,=-10.*XG) SPEDAT(SET,INITIAL,U1!WHOLE,C,=-10.*YG) SPEDAT(SET,INITIAL,V1!WHOLE,C,=10.*XG) SPEDAT(SET,SOURCE,U1!UNORTH,C,=COVAL(2.0E+10&-UGRD)) SPEDAT(SET,SOURCE,U1!USOUTH,C,=COVAL(2.0E+10&-UGRD)) SPEDAT(SET,SOURCE,U1!UEAST,C,=COVAL(2.0E+10&-UGRD)) SPEDAT(SET,SOURCE,U1!UWEST,C,=COVAL(2.0E+10&-UGRD)) SPEDAT(SET,SOURCE,V1!VNORTH,C,=COVAL(2.0E+10&-VGRD)) SPEDAT(SET,SOURCE,V1!VSOUTH,C,=COVAL(2.0E+10&-VGRD)) SPEDAT(SET,SOURCE,V1!VEAST,C,=COVAL(2.0E+10&-VGRD)) SPEDAT(SET,SOURCE,V1!VWEST,C,=COVAL(2.0E+10&-VGRD)) SPEDAT(SET,SOURCE,U1!USOURCE,C,=-0.333*10.*(10.*XU+2.0*V1)) SPEDAT(SET,SOURCE,V1!VSOURCE,C,=-0.333*10.*(10.*YV-2.0*U1)) SPEDAT(SET,GXMONI,PLOTALL,L,T) ************************************************************ Group 20. Preliminary Printout DISTIL = T ;NULLPR = F NDST = 0 DSTTOL =1.0E-02 EX(P1)=1.147 ;EX(U1)=0. EX(V1)=0. ;EX(AEP1)=0.2095 EX(RSU1)=2.2E-07 ;EX(VGRD)=0. EX(UGRD)=0. ************************************************************ 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,Y,Y,N,Y,Y) OUTPUT(V1,Y,Y,Y,N,Y,Y) OUTPUT(AEP1,Y,N,Y,N,N,N) OUTPUT(RSU1,Y,N,Y,N,N,N) OUTPUT(VGRD,Y,N,Y,N,N,N) OUTPUT(UGRD,Y,N,Y,N,N,N) ************************************************************ Group 22. Monitor Print-Out IXMON = 50 ;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 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