GROUP 1. Run title and other preliminaries TEXT(1DX TRANSIENT SEDIMENTATION; TITLE DISPLAY This 1D transient case is based on the numerical benchmark test documented by Hewitt et al ( see Test 2.4, Sedimentation, in Multiphase Science and Technology, Vol.3, Ed. G.F.Hewitt et al, Hemisphere Pub. Corp., p474, [1987] ). Denser fluid initially rests above lighter fluid in a vertical tank, and then it falls down under gravity whilst the lighter fluid rises to the top. Eventually, after about 10s, all of the dense phase will rest on the bottom with the lighter phase at the top. The densities of the two fluids are chosen so as to be nearly equal (rhod=1 and rhol= 0.999), and gravity is defined by g=0.5*(rhod+rhol)/(rhod-rhol), thus allowing comparison with the analytical and numerical solutions reported by Hewitt et al [1987]. The task is to predict the dense-phase volume-fraction profiles at t=2, 4, 6 and 8s. The PHOENICS predictions give reasonable agreement with analytical solution, despite the extremely coarse grid and time-step sizes. ENDDIS BOOLEAN(VMASS);REAL(GRAVAC,DTT);INTEGER(CONPHS);CONPHS=1 NX=20;ARRAY(PINIT,REAL,NX);INTEGER(NT) GROUP 2. Transience; time-step specification ** NT should be increased from 10 to 80 to cover complete transient period of 8 seconds STEADY=F;NT=10;DTT=0.1;TLAST=NT*DTT GRDPWR(T,NT,TLAST,1.0) GROUP 3. X-direction grid specification GRDPWR(X,NX,2.0,1.0) GROUP 7. Variables stored, solved & named ONEPHS=F;SOLVE(P1,U1,U2,R1,R2);STORE(VMSU) GROUP 9. Properties of the medium (or media) IF(CONPHS.EQ.1) THEN + RHO1=1.0;RHO2=0.999 ELSE + RHO2=1.0;RHO1=0.999 ENDIF ENUL=1.E-3 GROUP 10. Inter-phase-transfer processes and properties CFIPS=2.0 GROUP 11. Initialization of variable or porosity fields INIADD=F;REAL(RCTOP,RCBOT);RCBOT=1.E-5;RCTOP=1.-RCBOT PATCH(BOTIN,INIVAL,1,NX/2,1,1,1,1,1,1) PATCH(TOPIN,INIVAL,NX/2+1,NX,1,1,1,1,1,1) IF(CONPHS.EQ.1) THEN + INIT(BOTIN,R1,0.0,RCBOT);INIT(BOTIN,R2,0.0,RCTOP) + INIT(TOPIN,R1,0.0,RCTOP);INIT(TOPIN,R2,0.0,RCBOT) + GRAVAC=0.5*(RHO1+RHO2)/(RHO1-RHO2) ELSE + INIT(BOTIN,R2,0.0,RCBOT);INIT(BOTIN,R1,0.0,RCTOP) + INIT(TOPIN,R2,0.0,RCTOP);INIT(TOPIN,R1,0.0,RCBOT) + GRAVAC=0.5*(RHO1+RHO2)/(RHO2-RHO1) ENDIF REAL(PA,GY,DP);INTEGER(JJM1);DP=0.0 DO JJ=1,NX +GY=0.5*XFRAC(JJ) IF(JJ.NE.1) THEN +JJM1=JJ-1;GY=XFRAC(JJM1)+0.5*(XFRAC(JJ)-XFRAC(JJM1)) ENDIF +GY=GY*ZWLAST;DP=DP-(RHO1-RHO2)*GRAVAC*GY;PINIT(JJ)=DP ENDDO DO JJ=1,NX +PATCH(IN:JJ:,INIVAL,JJ,JJ,1,1,1,1,1,1) +PA=PINIT(JJ)-PINIT(NX);INIT(IN:JJ:,P1,ZERO,PA) ENDDO GROUP 12. Unused GROUP 13. Boundary conditions and special sources PATCH(GRAVITY,PHASEM,1,NX,1,1,1,1,1,LSTEP) PATCH(TOP,CELL,NX,NX,1,1,1,1,1,LSTEP) COVAL(TOP,P1,1.E3*RHO1,0.0);COVAL(TOP,P2,1.E3*RHO2,0.0) IF(CONPHS.EQ.1) THEN + COVAL(GRAVITY,U1,FIXFLU,-GRAVAC*(1.0-RHO2/RHO1)) ELSE + COVAL(GRAVITY,U2,FIXFLU,-GRAVAC*(1.0-RHO1/RHO2)) ENDIF GROUP 15. Termination of sweeps LSWEEP=100 GROUP 16. Termination of iterations GROUP 17. Under-relaxation devices REAL(DTF);DTF=DTT RELAX(R1,LINRLX,0.3);RELAX(R2,LINRLX,0.3) RELAX(U1,FALSDT,DTF);RELAX(U2,FALSDT,DTF) VARMIN(R1)=1.E-10;VARMIN(R2)=1.E-10 SPEDAT(SET,GXMONI,TRANSIENT,L,F) GROUP 18. Limits on variables or increments to them GROUP 19. Data communicated by satellite to GROUND GROUP 20. Preliminary print-out GROUP 21. Print-out of variables GROUP 22. Spot-value print-out NXPRIN=2;NTPRIN=10;TSTSWP=-1;IXMON=2 GROUP 23. Field print-out and plot control IPLTF=2;IPLTL=LSWEEP GROUP 24. Dumps for restarts INIFLD=T;VMASS=T IF(VMASS) THEN + CVM=GRND1;CVMA=1.0 IF(CONPHS.EQ.2) THEN + CVM=-GRND1 ENDIF ENDIF NTPRIN=NT/4;OUTPUT(VMSU,Y,N,Y,Y,Y,Y);NPLT=10 RHO1A=RHO1;RHO1B=0.0;RHO1=LINTEMP;STORE(TMP1) IDISPA=NT/4;CSG1=T;SELREF=T;RESFAC=0.01;ITABL=3