DISPLAY This case is similar to case 159 except that the jet discharge is supersonic and the flow is three-dimensional because the discharge nozzle is square. The option to simulate a 2d round jet is also provided. The calculation is made for an inlet Mach number of 2 and a jet-to-ambient static pressure ratio of 1.8. The free=stream Mach number is essentially zero. ENDDIS PHOTON USE P PARPHI VEC X 1 SH pau;cl con mach x 1 fi;.1 pau;cl con p1 x 1 fi;.1 pau cl; con tmp1 x 1 fi;.1 ENDUSE REAL(AIN,CP,GAM,GM1,PTOT,HTOT,RHTOT,PAMB,HAMB,MIN,PIN,HIN,RHOIN) REAL(WIN,EPSIN,TKEIN,DTF,DN,RAD,PRAT,RCON,RGAM,TTOT,TIN,UAC,RHAMB) REAL(FLOWIN,AOIN,UREF,DYGDZ,DXGDZ,TAMB,WAMB,MAMB) CHAR(CTURB);BOOLEAN(GEXPAN) ** GEXPAN=T activates a linear y-grid expansion with z Not yet considered or tested in this Q1 GEXPAN=F ** Gas properties GAM=1.4;GM1=GAM-1.;RCON=1.0;CP=RCON*GAM/GM1;RGAM=1./GAM ** INLET CONDITIONS & NOZZLE DIAMETER PTOT=1.0;RHTOT=1.0;TTOT=1.0;MIN=2.0;DN=1.0 HTOT=CP*TTOT RAD=0.5*DN PIN=PTOT/(1.+GM1*MIN*MIN/2.)**(GAM/GM1) RHOIN=RHTOT*(PIN/PTOT)**RGAM;WIN=MIN*(GAM*PIN/RHOIN)**0.5 TIN=PIN/(RCON*RHOIN);HIN=CP*TIN AOIN=(GAM*PTOT/RHTOT)*0.5;UREF=AOIN/GAM**0.5 ** Set static pressure ratio, i.e. PIN/PAMB PRAT=1.8 ** Set free-stream Mach number MAMB=1.E-3 ** Ambient conditions PAMB=PIN/PRAT;HAMB=HTOT TAMB=HAMB/CP;RHAMB=PAMB/(RCON*TAMB) WAMB=MAMB*(GAM*PAMB/RHAMB)**0.5 ** SJET=T for a 3d square jet =F for a 2d round jet BOOLEAN(SJET) MESG( Enter T for a 3d square jet (default) MESG( Enter F for a 2d round jet READVDU(SJET,BOOLEAN,T) GROUP 1. Run title and other preliminaries GROUP 2. Transience; time-step specification PARAB=T GROUP 3. X-direction grid specification IF(SJET) THEN + TEXT(3D Supersonic Underexpanded Square Jet + CARTES=T;AIN=DN*RAD + NREGX=2 + IREGX=1;GRDPWR(X, 5, RAD,1.0) + IREGX=2;GRDPWR(X,10, DN,1.0) IF(GEXPAN) THEN + DXGDZ=0.0875;AZXU=1.0;ZWADD=(DN+RAD)/DXGDZ ENDIF ELSE + TEXT(2D SUPERSONIC UNDEREXPANDED ROUND JET:160 + CARTES=F;NX=1;XULAST=0.1;AIN=0.5*XULAST*RAD*RAD ENDIF TITLE GROUP 4. Y-direction grid specification IF(SJET) THEN + NREGY=3 + IREGY=1;GRDPWR(Y,10, DN,1.0) + IREGY=2;GRDPWR(Y,10, DN,1.0) + IREGY=3;GRDPWR(Y,10, DN,1.0) ELSE + NREGY=2 + IREGY=1;GRDPWR(Y,10,RAD,1.0) + IREGY=2;GRDPWR(Y,20,2*RAD,1.0) IF(GEXPAN) THEN + DYGDZ=0.069927;AZYV=1.0;ZWADD=DN/DYGDZ ENDIF ENDIF GROUP 5. Z-direction grid specification NZ=500;AZDZ=PROPY;DZW1=0.01 GROUP 7. Variables stored, solved & named SOLVE(P1,V1,W1) IF(NX.GT.1) THEN + SOLVE(U1);SOLUTN(U1,P,P,Y,Y,P,P);TERMS(U1,Y,Y,N,P,P,P) ENDIF SOLUTN(V1,P,P,Y,Y,P,P);SOLUTN(W1,P,P,Y,Y,P,P) ** Provide storage for the density. STORE(RHO1,MACH,ENUT,LEN1,H1,TMP1) IPARAB=5;STORE(MACZ) ** RMACHZ=1 unless enut=0. RMACHZ=10.0 MESG( Enter the required turbulence model: MESG( KE - Standard k-e model (Default) MESG( LAM - Laminar model MESG( READVDU(CTURB,CHAR,KE) CASE :CTURB: OF WHEN KE,2 + MESG(Standard k-e model + TURMOD(KEMODL);KELIN=3 WHEN LAM,3 + MESG(Laminar model + ENUT=0. + RMACHZ=1.E3 ENDCASE GROUP 8. Terms (in differential equations) & devices TERMS(V1,Y,Y,N,P,P,P) DIFCUT=0;DENPCO=T GROUP 9. Properties of the medium (or media) RHO1=IDEALGAS;RHO1B=1./RCON;PRESS0=0.0 DRH1DP=IDEALGAS;RHO1C=RGAM TMP1=VARSTAGH; CP1=CP ENUL=1.8E-5/(UREF*DN) GROUP 11. Initialization of variable or porosity fields FIINIT(U1)=0.0; FIINIT(V1)=0.0 FIINIT(W1)=WIN; FIINIT(MACZ)= MIN FIINIT(RHO1)=RHOIN; FIINIT(P1)=PIN FIINIT(H1)=HTOT; FIINIT(TMP1)=TIN TKEIN=(0.05*WIN)**2;EPSIN=0.1643*TKEIN**1.5/(0.1*RAD/DN) FIINIT(EP)=EPSIN; FIINIT(KE)=TKEIN INIADD=F IF(SJET) THEN + PATCH(INITFS1,INIVAL,1,NX,#1,#1,1,1,1,1) + COVAL(INITFS1,W1,0.0,WAMB);COVAL(INITFS1,P1,0.0,PAMB) + COVAL(INITFS1,TMP1,0.0,TAMB);COVAL(INITFS1,RHO1,0.0,RHAMB) + COVAL(INITFS1,MACZ,0.0,MAMB) + PATCH(INITFS3,INIVAL,1,NX,#3,#3,1,1,1,1) + COVAL(INITFS3,W1,0.0,WAMB);COVAL(INITFS3,P1,0.0,PAMB) + COVAL(INITFS3,TMP1,0.0,TAMB);COVAL(INITFS3,RHO1,0.0,RHAMB) + COVAL(INITFS3,MACZ,0.0,MAMB) + PATCH(INITFS4,INIVAL,#2,#2,#1,#3,1,1,1,1) + COVAL(INITFS4,W1,0.0,WAMB);COVAL(INITFS4,P1,0.0,PAMB) + COVAL(INITFS4,TMP1,0.0,TAMB);COVAL(INITFS4,RHO1,0.0,RHAMB) + COVAL(INITFS4,MACZ,0.0,MAMB) + COVAL(INITFS4,p1,0.0,PAMB) ELSE + PATCH(INITFS3,INIVAL,1,NX,#2,#2,1,1,1,1) + COVAL(INITFS3,W1,0.0,WAMB);COVAL(INITFS3,P1,0.0,PAMB) + COVAL(INITFS3,TMP1,0.0,TAMB);COVAL(INITFS3,RHO1,0.0,RHAMB) + COVAL(INITFS3,MACZ,0.0,MAMB) ENDIF GROUP 13. Boundary conditions and special sources IF(SJET) THEN + INLET(IN1,LOW,1,NX,#1,#1,1,1,1,1) + VALUE(IN1,P1,RHAMB*WAMB) + VALUE(IN1,W1,WAMB) + INLET(IN2,LOW,#1,#1,#2,#2,1,1,1,1) + VALUE(IN2,P1,RHOIN*WIN) + VALUE(IN2,W1,WIN) + VALUE(IN2,KE,TKEIN);VALUE(IN2,EP,EPSIN) + INLET(IN3,LOW,1,NX,#3,#3,1,1,1,1) + VALUE(IN3,P1,RHAMB*WAMB) + VALUE(IN3,W1,WAMB) + INLET(IN4,LOW,#2,#2,#2,#2,1,1,1,1) + VALUE(IN4,P1,RHAMB*WAMB) + VALUE(IN4,W1,WAMB) + PATCH(EB,EAST,NX,NX,1,NY,1,NZ,1,1) + COVAL(EB,P1,FIXVAL,PAMB);COVAL(EB,W1,ONLYMS,WAMB) + PATCH(SB,SOUTH,1,NX,1,1,1,NZ,1,1) + COVAL(SB,P1,FIXVAL,PAMB);COVAL(SB,W1,ONLYMS,WAMB) ELSE + INLET(IN,LOW,1,NX,#1,#1,1,1,1,1) + VALUE(IN,P1,RHOIN*WIN);VALUE(IN,W1,WIN) + VALUE(IN,KE,TKEIN);VALUE(IN,EP,EPSIN) + INLET(INFS,LOW,1,NX,#2,#2,1,1,1,1) + VALUE(INFS,P1,RHAMB*WAMB);VALUE(INFS,W1,WAMB) + VALUE(INFS,KE,TKEIN);VALUE(INFS,EP,EPSIN) ENDIF PATCH(NB,NORTH,1,NX,NY,NY,1,NZ,1,1) COVAL(NB,P1,1E3,PAMB);COVAL(NB,W1,ONLYMS,WAMB) GROUP 16. Termination of iterations IF(SJET) THEN + LITHYD=15 ELSE + LITHYD=10 ENDIF TSTSWP=-1;IPLTL=LITHYD LITER(U1)=30; LITER(V1)=30; LITER(W1)=30; LITER(P1)=100 LITER(KE)=30; LITER(EP)=30 FLOWIN=RHOIN*WIN*AIN SELREF=F;RESREF(P1)=1.E-12*FLOWIN RESREF(W1)=1.E-12*FLOWIN*WIN RESREF(KE)=1.E-12*FLOWIN*TKEIN;RESREF(EP)=1.E-12*FLOWIN*EPSIN RESREF(V1)=RESREF(W1);RESREF(U1)=RESREF(W1) GROUP 17. Under-relaxation devices DTF=10.*DZW1*YVLAST/(WIN+UAC) RELAX(U1,LINRLX,0.5); RELAX(V1,LINRLX,0.5) RELAX(W1,LINRLX,0.5); RELAX(P1,LINRLX,0.5) RELAX(H1,LINRLX,0.5); RELAX(TMP1,LINRLX,0.5) RELAX(KE,LINRLX,0.3); RELAX(EP,LINRLX,0.3) RELAX(MACZ,LINRLX,0.8) GROUP 18. Limits on variables or increments to them VARMIN(P1)=0.0001*PTOT VARMIN(RHO1)=0.01*RHTOT;VARMAX(RHO1)=5.0*RHTOT VARMAX(P1)=5.0*PTOT VARMIN(TMP1)=0.01*TTOT; VARMAX(TMP1)=TTOT GROUP 19. Data communicated by satellite to GROUND GROUP 20. Preliminary print-out OUTPUT(MACH,P,P,P,P,Y,P) GROUP 21. Print-out of variables PATCH(constz,profil,1,1,1,ny,1,1,1,1) COVAL(constz,p1,0.0,0.0);COVAL(constz,w1,0.0,0.0) COVAL(constz,rho1,0.0,0.0) PATCH(constz2,profil,1,1,1,ny,1,1,1,1) COVAL(constz2,macz,0.0,0.0);COVAL(constz2,v1,0.0,0.0) GROUP 22. Spot-value print-out IXMON=1;IYMON=2*NY/3;IZMON=1 GROUP 23. Field print-out and plot control ITABL=3;NPLT=1;NYPRIN=1;NZPRIN=NZ/5 IF(NZ.GT.1) THEN + IDISPA=nz/20;IDISPB=1;IDISPC=NZ ENDIF