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