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
************************************************************
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.
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
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))
************************************************************
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