```
TALK=F;RUN( 1, 1)

************************************************************
Q1 created by VDI menu, Version 2007, Date 26/09/07
CPVNAM=VDI;SPPNAM=Core
************************************************************
Echo DISPLAY / USE settings
DISPLAY
Thin cylinder with central hole in cartesian system
and TEM(R):
2) Plane-Stress 2d problem : STRZ=0
3) Temperature equation: TEM(R_I) = 10, TEM(R_O) = 0
4) Stress equation STRY(R_I) = STRY(R_O) = 0

The text-book solution may be found in section 151 of
Timoshenko.
ENDDIS
PHOTON USE
p;;;;

set prop off
cl
msg PRPS fields
gr ou z 1
cont PRPS z 1 fil;.0001
pause

cl
msg x-displacement fields
gr ou z 1
cont DISX z 1 fil;.0001
SET VEC COMP - - -
SET VEC COMP DISX DISY -
VECT IZ 1 SH DASH 0
pause

cl
msg y-displacement fields
gr ou z 1
cont DISY z 1 fil;.0001
vec z 1 co 1
pause

cl
msg R-displacement fields
gr ou z 1
cont DISR z 1 fil;.0001
vec z 1 co 1
pause

cl
msg TEM1
gr ou z 1
cont TEM1 z 1 fil;.0001
pause

cl
msg TEM1_TH
gr ou z 1
cont T1TH z 1 fil;.0001
pause

cl
msg T1/T
gr ou z 1
cont T1/T z 1 fil;.0001
pause

cl
msg V1/T
gr ou z 1
cont V1/T z 1 fil;.0001
pause

ENDUSE

************************************************************
IRUNN   =         1 ;LIBREF =       631
************************************************************
Group 1. Run Title
TEXT(Cooled long cylinder [Cartesian]
************************************************************
Group 2. Transience
************************************************************
Groups 3, 4, 5  Grid Information
* Overall number of cells, RSET(M,NX,NY,NZ,tolerance)
RSET(M,60,60,1,1.000000E-05)
************************************************************
Group 6. Body-Fitted coordinates
************************************************************
Group 7. Variables: STOREd,SOLVEd,NAMEd
ONEPHS  =    T
* Solved variables list
SOLVE(TEM1,DISX,DISY)
* Stored variables list
STORE(PRPS,STRX,STRY,STRZ,EPSY,EPSX,EPSZ,EPST)
STORE(DEN1,ENUL,DVO1,DRH1,V1TH,KOND)
STORE(V1TH,I_RG,DISR,T1TH)
SOLUTN(TEM1,Y,Y,Y,N,N,Y)
SOLUTN(DISX,Y,Y,Y,N,N,Y)
SOLUTN(DISY,Y,Y,Y,N,N,Y)
RELAX(DISX,LINRLX, 1.000000E+00)
RELAX(DISY,LINRLX, 1.000000E+00)
RELAX(TEM1,LINRLX, 1.000000E+00)

************************************************************
Echo InForm settings for Group  7
SAVE7BEGIN

REAL(TII,TOO,R_I,R_O,POISSON,YOUNG,ALFAT)
TII=10.0 ! inner TEM1
TOO=0.0  ! outer TEM1

YOUNG   = 1/(0.5E-11) ! Young's modulus
POISSON=0.3           ! Poisson's ratio
ALFAT=1.0E-5
======================================
REAL(BSS)
BSS=R_O/R_I
BSS = LOG(BSS)

(STORED VAR V1/T IS DISR/V1TH WITH IMAT>100)
(STORED VAR T1/T IS TEM1/T1TH WITH IMAT>100)

SPEDAT(BOUNDARY,ZCONST,R,0.0)         ! z contraction allowed

=============== VTH ====================
real(VSS,VS_1,VS_2,VS_3,I_B)
VSS = ALFAT*TII*(1+POISSON)/BSS
I_B = 0.25*(R_O**2-R_I**2) - 0.5*R_I**2*BSS
VS_1 = I_B*(1-POISSON)/(1+POISSON)/(R_O**2-R_I**2)
VS_2 = I_B*R_I**2/(R_O**2-R_I**2)
VS_3 = 0.5*R_I**2*(BSS+0.5)

char(RRR)
RRR=(SQRT(XG^2+YG^2))

(STORED VAR I_RG IS 0.5*:RRR:^2*(LOGE(:R_O:/:RRR:)+0.5)-:VS_3:)
(STORED VAR V1TH IS :VSS:/:RRR:*(I_RG + :VS_1:*:RRR:^2+:VS_2:))
(STORED VAR DISR IS SQRT(DISX^2+DISY^2) WITH IMAT>100)

real(TSS)
TSS = TII/BSS
(STORED VAR T1TH IS :TSS:*LOGE(:R_O:/:RRR:) WITH IMAT>100)

SAVE7END
************************************************************
Group 8. Terms & Devices
************************************************************
Group 9. Properties
RHO1    = 1.000000E+00
ENUL    = 1.000000E-05
CP1     = 1.000000E+00
ENUT    = 0.000000E+00
DVO1DT  = 3.410000E-03
PRNDTL(TEM1) = -2.580000E-02
*  List of user-defined materials to be read by EARTH
MATFLG=T;IMAT=3
*  Name
*Ind. Dens.  Viscos.  Spec.heat  Conduct.  Expans.  Compr.
*
0 1.189  1.544E-05   1005.0   0.0258  3.41E-3   0.0
5 1.189  1.544E-05   1005.0   0.0258  3.41E-3   0.0
160 7800.0 0.3 473.0 0.0258 1.0E-5 0.5E-11
************************************************************
Group 10.Inter-Phase Transfer Processes
************************************************************
Group 11.Initialise Var/Porosity Fields
FIINIT(EPSZ) =  1.001000E-10 ;FIINIT(EPSX) =  1.001000E-10
FIINIT(EPSY) =  1.001000E-10 ;FIINIT(STRZ) =  1.001000E-10
FIINIT(STRY) =  1.001000E-10 ;FIINIT(STRX) =  1.001000E-10
FIINIT(PRPS) = -1.000000E+00 ;FIINIT(DISX) =  0.000000E+00
FIINIT(DISY) =  0.000000E+00
No PATCHes used for this Group

************************************************************
Echo InForm settings for Group 11
SAVE11BEGIN

(SOURCE of TEM1 at INNER is COVAL(1.0e7,10.0) !IF(PRPS.EQ.0))
(SOURCE of TEM1 at OUTER is COVAL(1.0e7,0.0) !IF(PRPS.EQ.5))

SAVE11END
************************************************************
Group 12. Convection and diffusion adjustments
No PATCHes used for this Group
************************************************************
Group 13. Boundary & Special Sources

PATCH (LEFT    ,WWALL ,2,0,0,0,0,0,1,1)
COVAL (LEFT    ,DISX, 1.000000E+00, 0.000000E+00)

PATCH (BOTTOM  ,SWALL ,3,0,0,0,0,0,1,1)
COVAL (BOTTOM  ,DISY, 1.000000E+00, 0.000000E+00)

EGWF    =    T
************************************************************
Echo InForm settings for Group 13
SAVE13BEGIN

SAVE13END
************************************************************
Group 14. Downstream Pressure For PARAB
************************************************************
Group 15. Terminate Sweeps
LSWEEP  =       400
RESFAC  = 1.000000E-07
************************************************************
Group 16. Terminate Iterations
************************************************************
Group 17. Relaxation
************************************************************
Group 18. Limits
VARMAX(U1  ) = 1.000000E+06 ;VARMIN(U1  ) =-1.000000E+06
VARMAX(V1  ) = 1.000000E+06 ;VARMIN(V1  ) =-1.000000E+06
************************************************************
Group 19. EARTH Calls To GROUND Station
USEGRD  =    T  ;USEGRX =    T
STRA    =    T
ASAP    =    T
PARSOL  =    F
ISG21   =       400
ISG50   =         1
ISG52   =         3
CSG10   ='Q1'
SPEDAT(SET,BOUNDARY,ZCONST,R,1.00000E+20)
************************************************************
Echo InForm settings for Group 19
SAVE19BEGIN

SAVE19END
************************************************************
Group 20. Preliminary Printout
ECHO    =    T
************************************************************
Group 21. Print-out of Variables
************************************************************
Group 22. Monitor Print-Out
IXMON   =        29 ;IYMON  =        29 ;IZMON  =         1
NPRMON  =    100000
NPRMNT  =         1
TSTSWP  =        -1
************************************************************
Group 23.Field Print-Out & Plot Control
NPRINT  =    100000
ISWPRF  =         1 ;ISWPRL =    100000
No PATCHes used for this Group
************************************************************
Group 24. Dumps For Restarts

GVIEW(P,-1.320743E-01,6.302702E-03,9.912190E-01)
GVIEW(UP,-1.785754E-01,9.834672E-01,-3.004784E-02)

> DOM,    SIZE,        1.000000E+00, 1.000000E+00, 2.000000E-01
> DOM,    MONIT,       4.750000E-01, 4.750000E-01, 1.000000E-01
> DOM,    SCALE,       1.000000E+00, 1.000000E+00, 1.000000E+00
> GRID,   RSET_X_1,     12, 1.000000E+00
> GRID,   RSET_X_2,     36, 1.000000E+00
> GRID,   RSET_X_3,     12, 1.000000E+00
> GRID,   RSET_Y_1,     12, 1.000000E+00
> GRID,   RSET_Y_2,     36, 1.000000E+00
> GRID,   RSET_Y_3,     12, 1.000000E+00
> GRID,   RSET_Z_1,      1, 1.000000E+00

> OBJ,    NAME,        OUTER
> OBJ,    POSITION,    0.000000E+00, 0.000000E+00, 0.000000E+00
> OBJ,    SIZE,        9.999998E-01, 1.000000E+00, 2.000000E-01
> OBJ,    GEOMETRY,    quarter-cylinder
> OBJ,    ROTATION24,        1
> OBJ,    TYPE,        BLOCKAGE
> OBJ,    COLOR-MODE,  DEFAULT2
> OBJ,    COLOR-VAL,         42
> OBJ,    OPAQUE,            50
> OBJ,    MATERIAL,    5,  Carbon Dioxide at 27 deg C, 1 atm

> OBJ,    NAME,        LEFT
> OBJ,    POSITION,    0.000000E+00, 2.000000E-01, 0.000000E+00
> OBJ,    SIZE,        0.000000E+00, 6.000000E-01, 2.000000E-01
> OBJ,    GEOMETRY,    default
> OBJ,    ROTATION24,        1
> OBJ,    TYPE,        USER_DEFINED

> OBJ,    NAME,        BOTTOM
> OBJ,    POSITION,    2.000000E-01, 0.000000E+00, 0.000000E+00
> OBJ,    SIZE,        6.000000E-01, 0.000000E+00, 2.000000E-01
> OBJ,    GEOMETRY,    default
> OBJ,    ROTATION24,        1
> OBJ,    TYPE,        USER_DEFINED

> OBJ,    NAME,        BODY
> OBJ,    POSITION,    0.000000E+00, 0.000000E+00, 0.000000E+00
> OBJ,    SIZE,        8.000000E-01, 8.000000E-01, 2.000000E-01
> OBJ,    GEOMETRY,    quarter-cylinder
> OBJ,    ROTATION24,        1
> OBJ,    TYPE,        BLOCKAGE
> OBJ,    COLOR-MODE,  USER
> OBJ,    COLOR-VAL,         13
> OBJ,    MATERIAL,    160,NOTSET

> OBJ,    NAME,        INNER
> OBJ,    POSITION,    0.000000E+00, 0.000000E+00, 0.000000E+00
> OBJ,    SIZE,        2.000000E-01, 2.000000E-01, 2.000000E-01
> OBJ,    GEOMETRY,    quarter-cylinder
> OBJ,    ROTATION24,        1
> OBJ,    VISIBLE,     NO
> OBJ,    TYPE,        BLOCKAGE
> OBJ,    COLOR-MODE,  USER
> OBJ,    COLOR-VAL,         15
> OBJ,    MATERIAL,    0,  Air at 20 deg C, 1 atm, treated as i
************************************************************
STOP

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