TALK=T;RUN(1,1)
DISPLAY
This problem is the same as that of s104; but nz is given a value
greater than 1 as a test of capability, while nx retains its unity
value.
The stresses, strains and displacements should be independent of$
z.
A long, hollow, thick-walled cylinder, immersed in an outer fluid,
contains a second fluid having a different pressure.
Since conditions vary with radius alone, nx and nz are set = 1 .
Two constraints on its length are considered, namely:
1. the cylinder length may extend freely; and
2. the cylinder length may not extend at all.
To enable the computed stresses and strains to be compared with
theoretical (text-book) values, the latter have been computed.
So as to make comparison easy, variables named P1/T etc have also
been computed. They represent the calculated values divided by
text-book ones. They should all be, and indeed are, close to 1.0;
but zero is printed when the text-book value is zero
Parameters which may be changed by editing this file include:
(a) Material properties: Young's modulus and Poisson's ratio
(b) Geometric quantities: inner and outer radius, and length.
(c) Mechanical loadings: inner and outer pressures
(d) The grid fineness (via NYCYL)
(e) The grid-fineness distributions in x and y (via POWERX and
POWERY)
The text-book solution may be found in section 14.4 of Benham,
Crawford and Armstrong, Mechanics of Engineering Materials; and
also in Love's Mathematical Theory of Elasticity p144 .
ENDDIS
************************************************************
Group 1. Run Title and Number
************************************************************
************************************************************
TEXT(Pressurised long cylinder [R,Z] )
************************************************************
************************************************************
IRUNN = 1 ;LIBREF = 0
************************************************************
Group 2. Time dependence
STEADY = T
************************************************************
Group 3. X-Direction Grid Spacing
CARTES = F
NX = 1
XULAST =3.1416
XFRAC(1)=1.
************************************************************
Group 4. Y-Direction Grid Spacing
NY = 12
YVLAST =0.808
YFRAC(1)=0.247525 ;YFRAC(2)=0.289283
YFRAC(3)=0.346843 ;YFRAC(4)=0.412395
YFRAC(5)=0.483744 ;YFRAC(6)=0.559739
YFRAC(7)=0.639654 ;YFRAC(8)=0.722983
YFRAC(9)=0.809351 ;YFRAC(10)=0.898468
YFRAC(11)=0.990099 ;YFRAC(12)=1.
************************************************************
Group 5. Z-Direction Grid Spacing
PARAB = F
NZ = 10
ZWLAST =1.
ZFRAC(1)=0.1 ;ZFRAC(2)=0.2
ZFRAC(3)=0.3 ;ZFRAC(4)=0.4
ZFRAC(5)=0.5 ;ZFRAC(6)=0.6
ZFRAC(7)=0.7 ;ZFRAC(8)=0.8
ZFRAC(9)=0.9 ;ZFRAC(10)=1.
************************************************************
Group 6. Body-Fitted Coordinates
************************************************************
Group 7. Variables: STOREd,SOLVEd,NAMEd
ONEPHS = T
NAME(1)=P1 ;NAME(5)=V1
NAME(7)=W1 ;NAME(127)=SZ/T
NAME(128)=EY/T ;NAME(129)=EX/T
NAME(130)=V1/T ;NAME(131)=P1/T
NAME(132)=V1TH ;NAME(133)=EZTH
NAME(134)=EPSZ ;NAME(135)=SZTH
NAME(136)=STRZ ;NAME(137)=EYTH
NAME(138)=EPSY ;NAME(139)=SYTH
NAME(140)=STRY ;NAME(141)=EXTH
NAME(142)=EPSX ;NAME(143)=SXTH
NAME(144)=STRX ;NAME(145)=DRH1
NAME(146)=DVO1 ;NAME(147)=ENUL
NAME(148)=DEN1 ;NAME(149)=PRPS
NAME(150)=P1TH
* 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(V1,Y,Y,N,N,N,Y)
SOLUTN(W1,Y,Y,N,N,N,Y)
SOLUTN(SZ/T,Y,N,N,N,N,N)
SOLUTN(EY/T,Y,N,N,N,N,N)
SOLUTN(EX/T,Y,N,N,N,N,N)
SOLUTN(V1/T,Y,N,N,N,N,N)
SOLUTN(P1/T,Y,N,N,N,N,N)
SOLUTN(V1TH,Y,N,N,N,N,N)
SOLUTN(EZTH,Y,N,N,N,N,Y)
SOLUTN(EPSZ,Y,N,N,N,N,Y)
SOLUTN(SZTH,Y,N,N,N,N,Y)
SOLUTN(STRZ,Y,N,N,N,N,Y)
SOLUTN(EYTH,Y,N,N,N,N,Y)
SOLUTN(EPSY,Y,N,N,N,N,Y)
SOLUTN(SYTH,Y,N,N,N,N,Y)
SOLUTN(STRY,Y,N,N,N,N,Y)
SOLUTN(EXTH,Y,N,N,N,N,Y)
SOLUTN(EPSX,Y,N,N,N,N,Y)
SOLUTN(SXTH,Y,N,N,N,N,Y)
SOLUTN(STRX,Y,N,N,N,N,Y)
SOLUTN(DRH1,Y,N,N,N,N,Y)
SOLUTN(DVO1,Y,N,N,N,N,Y)
SOLUTN(ENUL,Y,N,N,N,N,Y)
SOLUTN(DEN1,Y,N,N,N,N,Y)
SOLUTN(PRPS,Y,N,N,N,N,Y)
SOLUTN(P1TH,Y,N,N,N,N,Y)
DEN1 = 148
VISL = 147
PRPS = 149
************************************************************
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(V1,Y,Y,Y,Y,Y,Y)
TERMS(W1,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 =1.0E-05 ;ENUT =0.
PRNDTL(V1)=1. ;PRNDTL(W1)=1.
PRT(V1)=1. ;PRT(W1)=1.
CP1 =1. ;CP2 =1.
* List of user-defined materials to be read by EARTH
MATFLG=T;IMAT=1
* Name
*Ind. Dens. Viscos. Spec.heat Conduct. Expans. Compr.
*
160 7800.0 0.3 473.0 43.0 1.0E-5 0.5E-11
************************************************************
Group 10.Inter-Phase Transfer Processes
************************************************************
Group 11.Initial field variables (PHIs)
FIINIT(P1)=1.0E-10 ;FIINIT(V1)=1.0E-10
FIINIT(W1)=1.0E-10 ;FIINIT(SZ/T)=1.0E-10
FIINIT(EY/T)=1.0E-10 ;FIINIT(EX/T)=1.0E-10
FIINIT(V1/T)=1.0E-10 ;FIINIT(P1/T)=1.0E-10
FIINIT(V1TH)=1.0E-10 ;FIINIT(EZTH)=1.0E-10
FIINIT(EPSZ)=1.0E-10 ;FIINIT(SZTH)=1.0E-10
FIINIT(STRZ)=1.0E-10 ;FIINIT(EYTH)=1.0E-10
FIINIT(EPSY)=1.0E-10 ;FIINIT(SYTH)=1.0E-10
FIINIT(STRY)=1.0E-10 ;FIINIT(EXTH)=1.0E-10
FIINIT(EPSX)=1.0E-10 ;FIINIT(SXTH)=1.0E-10
FIINIT(STRX)=1.0E-10 ;FIINIT(DRH1)=1.0E-10
FIINIT(DVO1)=1.0E-10 ;FIINIT(ENUL)=1.0E-10
FIINIT(DEN1)=1.0E-10 ;FIINIT(PRPS)=0.
FIINIT(P1TH)=1.0E-10
PATCH(INNER ,INIVAL, 1, 1, 12, 12, 1, 9, 1, 1)
INIT(INNER ,P1 , FIXVAL ,1.0E+07 )
PATCH(CYLINDER,INIVAL, 1, 1, 2, 11, 2, 9, 1, 1)
INIT(CYLINDER,PRPS, FIXVAL ,160. )
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(IN ,CELL , 1, 1, 1, 1, 2, 9, 1, 1)
COVAL(IN ,P1 , FIXVAL ,1.0E+07 )
PATCH(OUT ,CELL , 1, 1, 12, 12, 2, 9, 1, 1)
PATCH(ZMINX ,CELL , 1, 1, 2, 11, 1, 1, 1, 1)
COVAL(ZMINX ,P1 , FIXVAL ,0. )
COVAL(ZMINX ,W1 , FIXVAL ,0. )
PATCH(ZMAXX ,CELL , 1, 1, 2, 11, 9, 9, 1, 1)
COVAL(ZMAXX ,W1 , FIXVAL ,0. )
PATCH(ZMAXX1 ,CELL , 1, 1, 1, 12, 10, 10, 1, 1)
COVAL(ZMAXX1 ,P1 , FIXVAL ,0. )
XCYCLE = F
EGWF = T
WALLCO = GRND2
************************************************************
Group 14. Downstream Pressure For PARAB
************************************************************
Group 15. Terminate Sweeps
LSWEEP = 400 ;ISWC1 = 1
LITHYD = 1 ;LITFLX = 1 ;LITC = 1 ;ITHC1 = 1
SELREF = T
RESFAC =1.0E-07
************************************************************
Group 16. Terminate Iterations
LITER(P1)=20 ;LITER(V1)=100
LITER(W1)=10
ENDIT(P1)=1.0E-03 ;ENDIT(V1)=0.
ENDIT(W1)=1.0E-03
************************************************************
Group 17. Relaxation
RELAX(P1,LINRLX,1.)
RELAX(V1,FALSDT,1.)
RELAX(W1,FALSDT,1.)
RELAX(SZ/T,LINRLX,1.)
RELAX(EY/T,LINRLX,1.)
RELAX(EX/T,LINRLX,1.)
RELAX(V1/T,LINRLX,1.)
RELAX(P1/T,LINRLX,1.)
RELAX(V1TH,LINRLX,1.)
RELAX(EZTH,LINRLX,1.)
RELAX(EPSZ,LINRLX,1.)
RELAX(SZTH,LINRLX,1.)
RELAX(STRZ,LINRLX,1.)
RELAX(EYTH,LINRLX,1.)
RELAX(EPSY,LINRLX,1.)
RELAX(SYTH,LINRLX,1.)
RELAX(STRY,LINRLX,1.)
RELAX(EXTH,LINRLX,1.)
RELAX(EPSX,LINRLX,1.)
RELAX(SXTH,LINRLX,1.)
RELAX(STRX,LINRLX,1.)
RELAX(DRH1,LINRLX,1.)
RELAX(DVO1,LINRLX,1.)
RELAX(ENUL,LINRLX,1.)
RELAX(DEN1,LINRLX,1.)
RELAX(PRPS,LINRLX,1.)
RELAX(P1TH,LINRLX,1.)
OVRRLX =0.
EXPERT = F ;NNORSL = F
************************************************************
Group 18. Limits
VARMAX(P1)=1.0E+10 ;VARMIN(P1)=-1.0E+10
VARMAX(V1)=1.0E+06 ;VARMIN(V1)=-1.0E+06
VARMAX(W1)=1.0E+06 ;VARMIN(W1)=-1.0E+06
VARMAX(SZ/T)=1.0E+10 ;VARMIN(SZ/T)=-1.0E+10
VARMAX(EY/T)=1.0E+10 ;VARMIN(EY/T)=-1.0E+10
VARMAX(EX/T)=1.0E+10 ;VARMIN(EX/T)=-1.0E+10
VARMAX(V1/T)=1.0E+10 ;VARMIN(V1/T)=-1.0E+10
VARMAX(P1/T)=1.0E+10 ;VARMIN(P1/T)=-1.0E+10
VARMAX(V1TH)=1.0E+10 ;VARMIN(V1TH)=-1.0E+10
VARMAX(EZTH)=1.0E+10 ;VARMIN(EZTH)=-1.0E+10
VARMAX(EPSZ)=1.0E+10 ;VARMIN(EPSZ)=-1.0E+10
VARMAX(SZTH)=1.0E+10 ;VARMIN(SZTH)=-1.0E+10
VARMAX(STRZ)=1.0E+10 ;VARMIN(STRZ)=-1.0E+10
VARMAX(EYTH)=1.0E+10 ;VARMIN(EYTH)=-1.0E+10
VARMAX(EPSY)=1.0E+10 ;VARMIN(EPSY)=-1.0E+10
VARMAX(SYTH)=1.0E+10 ;VARMIN(SYTH)=-1.0E+10
VARMAX(STRY)=1.0E+10 ;VARMIN(STRY)=-1.0E+10
VARMAX(EXTH)=1.0E+10 ;VARMIN(EXTH)=-1.0E+10
VARMAX(EPSX)=1.0E+10 ;VARMIN(EPSX)=-1.0E+10
VARMAX(SXTH)=1.0E+10 ;VARMIN(SXTH)=-1.0E+10
VARMAX(STRX)=1.0E+10 ;VARMIN(STRX)=-1.0E+10
VARMAX(DRH1)=1.0E+10 ;VARMIN(DRH1)=-1.0E+10
VARMAX(DVO1)=1.0E+10 ;VARMIN(DVO1)=-1.0E+10
VARMAX(ENUL)=1.0E+10 ;VARMIN(ENUL)=-1.0E+10
VARMAX(DEN1)=1.0E+10 ;VARMIN(DEN1)=-1.0E+10
VARMAX(PRPS)=1.0E+10 ;VARMIN(PRPS)=-1.0E+10
VARMAX(P1TH)=1.0E+10 ;VARMIN(P1TH)=-1.0E+10
************************************************************
Group 19. Data transmitted to GROUND
READQ1 = T
STRA = T
PARSOL = F
CONWIZ = T
ISG21 = 400
ISG52 = 3
ISG59 = 1
ISG62 = 1
CSG10 ='Q1'
SPEDAT(SET,BOUNDARY,XCONST,R,1.0E+20)
SPEDAT(SET,STORED,SYTH,C,=6.666667E+05*(1.0-0.64/RG^2)-0.*(1.0-0.$)
SPEDAT(SET,STORED,SYTH,C,04/RG^2)!IMAT>100!ZSLFIN)
SPEDAT(SET,STORED,SXTH,C,=6.666667E+05*(1.0+0.64/RG^2)-0.*(1.0+0.$)
SPEDAT(SET,STORED,SXTH,C,04/RG^2)!IMAT>100!ZSLFIN)
SPEDAT(SET,STORED,EZTH,C,=0!IMAT>100!ZSLFIN)
SPEDAT(SET,STORED,SZTH,C,=1.!IMAT>100!ZSLFIN)
SPEDAT(SET,STORED,V1TH,C,=0.*RV+0./RV!ZSLFIN)
SPEDAT(SET,STORED,EXTH,C,=(SXTH-0.3*(SYTH+SZTH))/2.0E+11!ZSLFIN)
SPEDAT(SET,STORED,EYTH,C,=(SYTH-0.3*(SXTH+SZTH))/2.0E+11!ZSLFIN)
SPEDAT(SET,STORED,P1TH,C,=(EXTH+EYTH+EZTH)!IMAT>100!ZSLFIN)
SPEDAT(SET,STORED,P1/T,C,=P1/P1TH!ZSLFIN)
SPEDAT(SET,STORED,V1/T,C,=V1/V1TH!ZSLFIN)
SPEDAT(SET,STORED,EX/T,C,=EPSX/EXTH!ZSLFIN)
SPEDAT(SET,STORED,EY/T,C,=EPSY/EYTH!ZSLFIN)
SPEDAT(SET,STORED,SZ/T,C,=STRZ/SZTH!ZSLFIN)
SPEDAT(SET,RLXFAC,RLXW1D,R,0.5)
SPEDAT(SET,RLXFAC,RLXV1D,R,0.5)
SPEDAT(SET,GXMONI,PLOTALL,L,T)
SPEDAT(SET,MATERIAL,0,L,T)
SPEDAT(SET,MATERIAL,160,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(V1,Y,N,Y,Y,Y,Y)
OUTPUT(W1,Y,N,Y,Y,Y,Y)
OUTPUT(SZ/T,Y,N,Y,N,N,N)
OUTPUT(EY/T,Y,N,Y,N,N,N)
OUTPUT(EX/T,Y,N,Y,N,N,N)
OUTPUT(V1/T,Y,N,Y,N,N,N)
OUTPUT(P1/T,Y,N,Y,N,N,N)
OUTPUT(V1TH,Y,N,Y,N,N,N)
OUTPUT(EZTH,Y,N,Y,N,N,N)
OUTPUT(EPSZ,Y,N,Y,N,N,N)
OUTPUT(SZTH,Y,N,Y,N,N,N)
OUTPUT(STRZ,Y,N,Y,N,N,N)
OUTPUT(EYTH,Y,N,Y,N,N,N)
OUTPUT(EPSY,Y,N,Y,N,N,N)
OUTPUT(SYTH,Y,N,Y,N,N,N)
OUTPUT(STRY,Y,N,Y,N,N,N)
OUTPUT(EXTH,Y,N,Y,N,N,N)
OUTPUT(EPSX,Y,N,Y,N,N,N)
OUTPUT(SXTH,Y,N,Y,N,N,N)
OUTPUT(STRX,Y,N,Y,N,N,N)
OUTPUT(DRH1,N,N,N,N,N,N)
OUTPUT(DVO1,N,N,N,N,N,N)
OUTPUT(ENUL,N,N,N,N,N,N)
OUTPUT(DEN1,N,N,N,N,N,N)
OUTPUT(PRPS,Y,N,Y,N,N,N)
OUTPUT(P1TH,Y,N,Y,N,N,N)
************************************************************
Group 22. Monitor Print-Out
IXMON = 1 ;IYMON = 11 ;IZMON = 5
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
XZPR = F ;YZPR = F
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