PHOTON USE
p
parphi
1 1 6
up z
vi -y
gr ou y 1
con u1 y 1 fi;0.001
msg velocity contours
msg vertical dimension is time, horizontal is distance
pause;cls
msg pressure contours
con p1 y 1 fi;0.001
ENDUSE
GROUP 1. Run title and other preliminaries
TEXT(Shallow-Water Waves After Exit Shut
#cls
TITLE
DISPLAY
The pressure-dependent-porosity method is used to compute the
transient distributions of velocity and pressure in a one-
dimensional channel flow.
Initially the water velocity is 0,8 meters per second
everywhere; but shutting the exit causes a wave to flow back
to the inlet.
Since inflow continues unchecked, a further wave travels in the
opposite direction; and so on.
The behaviour can be displayed via PHOTON, because idispa has
been set to 1, dictating that information is placed on the parphi
file after every second time step.
ENDDIS
GROUP 2. Transience; time-step specification
STEADY=F;GRDPWR(T,100,500.0,1.0)
GROUP 3. X-direction grid specification
GRDPWR(X,50,1500.0,1.0)
GROUP 4. Y-direction grid specification
YVLAST=500.0
GROUP 5. Z-direction grid specification
ZWLAST=10.0
GROUP 7. Variables stored, solved & named
SOLVE(P1,U1);STORE(EPOR,VPOR)
GROUP 9. Properties of the medium (or media)
RHO1=1000.0;ENUL=1.E-3/RHO1
**The following statements activate sequences in group 19
section 3 of GREX3 which make the porosities linearly
dependent on the pressure at iz=1. For the east cell faces,
porosity= poria + porib * pressure,
where porib = 1/(g*rho*z) by hydrostatics.
REAL(BBB);BBB=1./(9.81*RHO1*ZWLAST)
IPORIA=1;PORIA=1.0;PORIB=BBB
**The dependence of the logarithm of the cell volume on
pressure is represented by the next statement...
DRH1DP=BBB
(Note that: d(rho*vol/dt)/dp = (rho*vol/dt)*d(ln vol)/dp. )
GROUP 11. Initialization of variable or porosity fields
FIINIT(P1)=0.0;FIINIT(U1)=0.08
FIINIT(EPOR)=1.;FIINIT(VPOR)=1.
GROUP 13. Boundary conditions and special sources
INLET(INLET,WEST,1,1,1,1,1,1,1,LSTEP)
VALUE(INLET,P1,RHO1*0.08);VALUE(INLET,U1,0.08)
GROUP 15. Termination of sweeps
LSWEEP=15
SPEDAT(SET,GXMONI,TRANSIENT,L,F)
GROUP 21. Print-out of variables
OUTPUT(P1,Y,N,N,N,N,Y);OUTPUT(U1,Y,N,N,N,N,Y)
OUTPUT(EPOR,Y,N,N,N,N,N);OUTPUT(VPOR,Y,N,N,N,N,N)
NTPRIN=5
GROUP 22. Spot-value print-out
ITABL=2;IXMON=NX-1
GROUP 23. Field print-out and plot control
PATCH(WAVE,PROFIL,1,NX,1,1,1,1,1,LSTEP)
PLOT(WAVE,P1,0.0,200.0);PLOT(WAVE,U1,0.,1.1*FIINIT(U1))
PATCH(HALFWAY,PROFIL,NX/2,NX/2,1,1,1,1,1,LSTEP)
PLOT(HALFWAY,P1,0.,200.);PLOT(HALFWAY,U1,0.,1.1*FIINIT(U1))
IDISPA=2