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| CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
$ debug
PROGRAM MAIN
C*******************************************************************
C THIS IS A PATANKAR 2-D DIFFERENTIAL EQUATION SOLVER
C ADAPTED TO THE IBM PC SYSTEM USING THE MICROSOFT
C OPTIMIZING FORTRAN COMPILER. IT IS CAPABLE OF SOLVING FLUID
C FLOW PROBLEMS AND INCLUDES A FACILITY FOR HANDLING ADDITIONAL
C INDEPENDENT VARIABLES BESIDES U,V, AND PC. THESE VARIABLES ARE
C STORED IN THE F(I,J,4) THRU F(I,J,LIV) ARRAYS, WHERE LIV IS THE
C TOTAL NUMBER OF INDEPENDENT VARIABLES, INCLUDING U,V AND PC.
C PARAMETER STATEMENTS MAY BE USED TO CHANGE THE I AND J DIMENSIONS.
C*******************************************************************
C VERSION 4.00 JULY 2,1985 COPYRIGHT DMI inc
C*******************************************************************
IMPLICIT DOUBLE PRECISION (A-H,O-Z)
LOGICAL LSTOP
COMMON/CNTL/LSTOP
open(1,file='fichier',status='unknown')
C********************************************************************
CALL GRID
CALL SETUP1
CALL START
10 CALL DENSE
CALL OUTPUT
CALL BOUND
CALL SETUP2
IF(LSTOP) STOP
GO TO 10
END
CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
BLOCK DATA INITIAL
C******************************************************************
IMPLICIT DOUBLE PRECISION (A-H,O-Z)
PARAMETER (ID=400,JD=400,IMX=400)
PARAMETER (LIV=10)
PARAMETER (LV=LIV+3)
PARAMETER (LIV1=LIV+1,LIV2=LIV+2,LIV3=LIV+3)
CHARACTER*40 INPUTF,SAVEF,LISFIL
LOGICAL LSOLVE,LPRINT,LBLK,LSTOP,LINPUT,LSAVE
CHARACTER*10 TITLE
COMMON/FILE/INPUTF,SAVEF,LISFIL,TITLE(LV)
COMMON/INDX/NF,NFMAX,NP,NRHO,NGAM,L1,L2,L3,M1,M2,M3,
1 IST,JST,ITER,LAST,RELAX(LV),TIME,DT,XL,YL,
2 IPREF,JPREF,LSOLVE(LV),LPRINT(LV),LBLK(LV),MODE,NTIMES(LV),
3 RHOCON,LINPUT(LV),LSAVE(LV)
COMMON/CNTL/LSTOP
C******************************************************************
DATA LISFIL,INPUTF,SAVEF/'USER.LIS','USER.DAT','USER.DAT'/
DATA NFMAX,NP,NRHO,NGAM/LIV,LIV1,LIV2,LIV3/
DATA LSTOP,LSOLVE,LPRINT/1*.FALSE.,LV*.FALSE.,LV*.FALSE./
DATA LINPUT,LSAVE/LV*.FALSE.,LV*.FALSE./
DATA LBLK/LV*.TRUE./
DATA MODE,last,TIME,ITER/1,60,0.d0,0/
DATA RELAX,NTIMES/LV*1.D0,LV*1/
DATA DT,IPREF,JPREF,RHOCON/1.D+10,1,1,1.D0/
END
CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
SUBROUTINE DIFLOW
C********************************************************************
IMPLICIT DOUBLE PRECISION (A-H,O-Z)
COMMON/COEF/FLOW,DIFF,ACOF
C******************************************************************
ACOF=DIFF
IF(FLOW.EQ.0.D0) RETURN
TEMP=DIFF-ABS(FLOW)*0.1D0
ACOF=0.D0
IF(TEMP.LE.0.D0) RETURN
TEMP=TEMP/DIFF
ACOF=DIFF*TEMP**5
RETURN
END
CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
SUBROUTINE SOLVE
C******************************************************************
IMPLICIT DOUBLE PRECISION (A-H,O-Z)
C---- ID=I DIMENSION, JD=J DIMENSION, IMX=MAXIMUM OF ID AND JD
PARAMETER (ID=400,JD=400,IMX=400)
C---- LIV=NUMBER OF INDEPENDENT VARIABLES; INCLUDING U,V, AND PC
PARAMETER (LIV=10)
PARAMETER (LV=LIV+3)
! CHARACTER*10 TITLE
! LOGICAL LSOLVE,LPRINT,LBLK,LSTOP,LINPUT,LSAVE
LOGICAL LSOLVE,LPRINT,LBLK,LINPUT,LSAVE
COMMON F(ID,JD,LV),CON(ID,JD),
1 AIP(ID,JD),AIM(ID,JD),AJP(ID,JD),AJM(ID,JD),AP(ID,JD),
2 X(ID),XU(ID),XDIF(ID),XCV(ID),XCVS(ID),
3 Y(JD),YV(JD),YDIF(JD),YCV(JD),YCVS(JD),
4 YCVR(JD),YCVRS(JD),ARX(JD),ARXJ(JD),ARXJP(JD),
5 R(JD),RMN(JD),SX(JD),SXMN(JD),XCVI(ID),XCVIP(ID)
COMMON DU(ID,JD),DV(ID,JD), FV(JD),FVP(JD),
1 FX(ID),FXM(ID),FY(JD),FYM(JD),PT(IMX),QT(IMX)
COMMON/INDX/NF,NFMAX,NP,NRHO,NGAM,L1,L2,L3,M1,M2,M3,
1 IST,JST,ITER,LAST,RELAX(LV),TIME,DT,XL,YL,
2 IPREF,JPREF,LSOLVE(LV),LPRINT(LV),LBLK(LV),MODE,NTIMES(LV),
3 RHOCON,LINPUT(LV),LSAVE(LV),amb1,amb2,amb3,amb4,amb5,amb6
DIMENSION TH(ID),THU(ID),THDIF(ID),THCV(ID),THCVS(ID)
EQUIVALENCE(X,TH),(XU,THU),(XDIF,THDIF),(XCV,THCV)
1,(XCVS,THCVS),(XL,THL)
C******************************************************************
ISTF=IST-1
JSTF=JST-1
IT1=L2+IST
IT2=L3+IST
JT1=M2+JST
JT2=M3+JST
C******************************************************************
DO 999 NT=1,NTIMES(NF)
NFF=NF
DO 999 N=NF,NFF
C-------------------------------------------------------------------
IF(.NOT.LBLK(NF)) GO TO 10
PT(ISTF)=0.D0
QT(ISTF)=0.D0
DO 11 I=IST,L2
BL=0.D0
BLP=0.D0
BLM=0.D0
BLC=0.D0
DO 12 J=JST,M2
BL=BL+AP(I,J)
IF(J.NE.M2) BL=BL-AJP(I,J)
IF(J.NE.JST) BL=BL-AJM(I,J)
BLP=BLP+AIP(I,J)
BLM=BLM+AIM(I,J)
BLC=BLC+CON(I,J)+AIP(I,J)*F(I+1,J,N)+AIM(I,J)*F(I-1,J,N)
1 +AJP(I,J)*F(I,J+1,N)+AJM(I,J)*F(I,J-1,N)-AP(I,J)*F(I,J,N)
12 CONTINUE
DENOM=BL-PT(I-1)*BLM
IF(ABS(DENOM/BL).LT.1.D-10) DENOM=1.D50
PT(I)=BLP/DENOM
QT(I)=(BLC+BLM*QT(I-1))/DENOM
11 CONTINUE
BL=0.D0
DO 13 II=IST,L2
I=IT1-II
BL=BL*PT(I)+QT(I)
DO 13 J=JST,M2
13 F(I,J,N)=F(I,J,N)+BL
C---------------------------------------------------------------------
PT(JSTF)=0.D0
QT(JSTF)=0.D0
DO 21 J=JST,M2
BL=0.D0
BLP=0.D0
BLM=0.D0
BLC=0.D0
DO 22 I=IST,L2
BL=BL+AP(I,J)
IF(I.NE.L2) BL=BL-AIP(I,J)
IF(I.NE.IST) BL=BL-AIM(I,J)
BLP=BLP+AJP(I,J)
BLM=BLM+AJM(I,J)
BLC=BLC+CON(I,J)+AIP(I,J)*F(I+1,J,N)+AIM(I,J)*F(I-1,J,N)
1 +AJP(I,J)*F(I,J+1,N)+AJM(I,J)*F(I,J-1,N)-AP(I,J)*F(I,J,N)
22 CONTINUE
DENOM=BL-PT(J-1)*BLM
IF(ABS(DENOM/BL).LT.1.D-10) DENOM=1.D50
PT(J)=BLP/DENOM
QT(J)=(BLC+BLM*QT(J-1))/DENOM
21 CONTINUE
BL=0.D0
DO 23 JJ=JST,M2
J=JT1-JJ
BL=BL*PT(J)+QT(J)
DO 23 I=IST,L2
23 F(I,J,N)=F(I,J,N)+BL
10 CONTINUE
C--------------------------------------------------------------
DO 90 J=JST,M2
PT(ISTF)=0.D0
QT(ISTF)=F(ISTF,J,N)
DO 70 I=IST,L2
DENOM=AP(I,J)-PT(I-1)*AIM(I,J)
PT(I)=AIP(I,J)/DENOM
TEMP=CON(I,J)+AJP(I,J)*F(I,J+1,N)+AJM(I,J)*F(I,J-1,N)
QT(I)=(TEMP+AIM(I,J)*QT(I-1))/DENOM
70 CONTINUE
DO 80 II=IST,L2
I=IT1-II
80 F(I,J,N)=F(I+1,J,N)*PT(I)+QT(I)
90 CONTINUE
C------------------------------------------------------------------
DO 190 JJ=JST,M3
J=JT2-JJ
PT(ISTF)=0.D0
QT(ISTF)=F(ISTF,J,N)
DO 170 I=IST,L2
DENOM=AP(I,J)-PT(I-1)*AIM(I,J)
PT(I)=AIP(I,J)/DENOM
TEMP=CON(I,J)+AJP(I,J)*F(I,J+1,N)+AJM(I,J)*F(I,J-1,N)
QT(I)=(TEMP+AIM(I,J)*QT(I-1))/DENOM
170 CONTINUE
DO 180 II=IST,L2
I=IT1-II
180 F(I,J,N)=F(I+1,J,N)*PT(I)+QT(I)
190 CONTINUE
C------------------------------------------------------------------
DO 290 I=IST,L2
PT(JSTF)=0.D0
QT(JSTF)=F(I,JSTF,N)
DO 270 J=JST,M2
DENOM=AP(I,J)-PT(J-1)*AJM(I,J)
PT(J)=AJP(I,J)/DENOM
TEMP=CON(I,J)+AIP(I,J)*F(I+1,J,N)+AIM(I,J)*F(I-1,J,N)
QT(J)=(TEMP+AJM(I,J)*QT(J-1))/DENOM
270 CONTINUE
DO 280 JJ=JST,M2
J=JT1-JJ
280 F(I,J,N)=F(I,J+1,N)*PT(J)+QT(J)
290 CONTINUE
C-------------------------------------------------------------------
DO 390 II=IST,L3
I=IT2-II
PT(JSTF)=0.D0
QT(JSTF)=F(I,JSTF,N)
DO 370 J=JST,M2
DENOM=AP(I,J)-PT(J-1)*AJM(I,J)
PT(J)=AJP(I,J)/DENOM
TEMP=CON(I,J)+AIP(I,J)*F(I+1,J,N)+AIM(I,J)*F(I-1,J,N)
QT(J)=(TEMP+AJM(I,J)*QT(J-1))/DENOM
370 CONTINUE
DO 380 JJ=JST,M2
J=JT1-JJ
380 F(I,J,N)=F(I,J+1,N)*PT(J)+QT(J)
390 CONTINUE
C*******************************************
999 CONTINUE
DO 400 J=2,M2
DO 400 I=2,L2
CON(I,J)=0.D0
AP(I,J)=0.D0
400 CONTINUE
RETURN
END
CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
SUBROUTINE SETUP
C******************************************************************
IMPLICIT DOUBLE PRECISION (A-H,O-Z)
PARAMETER (ID=400,JD=400,IMX=400)
PARAMETER (LIV=10)
PARAMETER (LV=LIV+3)
PARAMETER (LIV1=LIV+1,LIV2=LIV+2,LIV3=LIV+3)
CHARACTER*40 INPUTF,SAVEF,LISFIL
COMMON/FILE/INPUTF,SAVEF,LISFIL,TITLE(LV)
CHARACTER*10 TITLE
LOGICAL LSOLVE,LPRINT,LBLK,LSTOP,LINPUT,LSAVE
COMMON F(ID,JD,LV),CON(ID,JD),
1 AIP(ID,JD),AIM(ID,JD),AJP(ID,JD),AJM(ID,JD),AP(ID,JD),
2 X(ID),XU(ID),XDIF(ID),XCV(ID),XCVS(ID),
3 Y(JD),YV(JD),YDIF(JD),YCV(JD),YCVS(JD),
4 YCVR(JD),YCVRS(JD),ARX(JD),ARXJ(JD),ARXJP(JD),
5 R(JD),RMN(JD),SX(JD),SXMN(JD),XCVI(ID),XCVIP(ID)
COMMON DU(ID,JD),DV(ID,JD), FV(JD),FVP(JD),
1 FX(ID),FXM(ID),FY(JD),FYM(JD),PT(IMX),QT(IMX)
COMMON/INDX/NF,NFMAX,NP,NRHO,NGAM,L1,L2,L3,M1,M2,M3,
1 IST,JST,ITER,LAST,RELAX(LV),TIME,DT,XL,YL,
2 IPREF,JPREF,LSOLVE(LV),LPRINT(LV),LBLK(LV),MODE,NTIMES(LV),
3 RHOCON,LINPUT(LV),LSAVE(LV)
COMMON/CNTL/LSTOP
COMMON/SORC/SMAX,SSUM
COMMON/COEF/FLOW,DIFF,ACOF
COMMON Uold(ID,JD),Vold(ID,JD),Tfold(ID,JD),Tsold(ID,JD)
DIMENSION U(ID,JD),V(ID,JD),PC(ID,JD),Tf(ID,JD),Ts(ID,JD)
DIMENSION P(ID,JD),RHO(ID,JD),GAM(ID,JD)
EQUIVALENCE(F(1,1,LIV1),P(1,1)),(F(1,1,LIV2),RHO(1,1)),
1 (F(1,1,LIV3),GAM(1,1))
EQUIVALENCE(F(1,1,1),U(1,1)),(F(1,1,2),V(1,1)),(F(1,1,3),PC(1,1))
*,(F(1,1,5),Tf(1,1)),(F(1,1,6),Ts(1,1))
DIMENSION TH(ID),THU(ID),THDIF(ID),THCV(ID),THCVS(ID)
EQUIVALENCE(X,TH),(XU,THU),(XDIF,THDIF),(XCV,THCV)
1 ,(XCVS,THCVS),(XL,THL)
C******************************************************************
1 FORMAT('1',14X,'COMPUTATION IN CARTESIAN COORDINATES')
2 FORMAT('1',14X,'COMPUTATION FOR AXISYMMETRIC SITUATION')
3 FORMAT('1',14X,'COMPUTATION IN POLAR COORDINATES')
4 FORMAT(14X,38(1H*),//)
DATA ZERO/0.0D0/
C-------------------------------------------------------------------
ENTRY SETUP1
L2=L1-1
L3=L2-1
M2=M1-1
M3=M2-1
X(1)=XU(2)
DO 5 I=2,L2
5 X(I)=0.5D0*(XU(I+1)+XU(I))
X(L1)=XU(L1)
Y(1)=YV(2)
DO 10 J=2,M2
10 Y(J)=0.5D0*(YV(J+1)+YV(J))
Y(M1)=YV(M1)
DO 15 I=2,L1
15 XDIF(I)=X(I)-X(I-1)
DO 18 I=2,L2
18 XCV(I)=XU(I+1)-XU(I)
DO 20 I=3,L2
20 XCVS(I)=XDIF(I)
XCVS(3)=XCVS(3)+XDIF(2)
XCVS(L2)=XCVS(L2)+XDIF(L1)
DO 22 I=3,L3
XCVI(I)=0.5D0*XCV(I)
22 XCVIP(I)=XCVI(I)
XCVIP(2)=XCV(2)
XCVI(L2)=XCV(L2)
DO 35 J=2,M1
35 YDIF(J)=Y(J)-Y(J-1)
DO 40 J=2,M2
40 YCV(J)=YV(J+1)-YV(J)
DO 45 J=3,M2
45 YCVS(J)=YDIF(J)
YCVS(3)=YCVS(3)+YDIF(2)
YCVS(M2)=YCVS(M2)+YDIF(M1)
IF(MODE.NE.1) GO TO 55
DO 52 J=1,M1
RMN(J)=1.0D0
52 R(J)=1.0D0
GO TO 56
55 DO 50 J=2,M1
50 R(J)=R(J-1)+YDIF(J)
RMN(2)=R(1)
DO 60 J=3,M2
60 RMN(J)=RMN(J-1)+YCV(J-1)
RMN(M1)=R(M1)
56 CONTINUE
DO 57 J=1,M1
SX(J)=1.D0
SXMN(J)=1.D0
IF(MODE.NE.3) GO TO 57
SX(J)=R(J)
IF(J.NE.1) SXMN(J)=RMN(J)
57 CONTINUE
DO 62 J=2,M2
YCVR(J)=R(J)*YCV(J)
ARX(J)=YCVR(J)
IF(MODE.NE.3) GO TO 62
ARX(J)=YCV(J)
62 CONTINUE
DO 64 J=4,M3
64 YCVRS(J)=0.5D0*(R(J)+R(J-1))*YDIF(J)
YCVRS(3)=0.5D0*(R(3)+R(1))*YCVS(3)
YCVRS(M2)=0.5D0*(R(M1)+R(M3))*YCVS(M2)
IF(MODE.NE.2) GO TO 67
DO 65 J=3,M3
ARXJ(J)=0.25D0*(1.D0+RMN(J)/R(J))*ARX(J)
65 ARXJP(J)=ARX(J)-ARXJ(J)
GO TO 68
67 DO 66 J=3,M3
ARXJ(J)=0.5D0*ARX(J)
66 ARXJP(J)=ARXJ(J)
68 ARXJP(2)=ARX(2)
ARXJ(M2)=ARX(M2)
DO 70 J=3,M3
FV(J)=ARXJP(J)/ARX(J)
70 FVP(J)=1.D0-FV(J)
DO 85 I=3,L2
FX(I)=0.5D0*XCV(I-1)/XDIF(I)
85 FXM(I)=1.D0-FX(I)
FX(2)=0.D0
FXM(2)=1.D0
FX(L1)=1.D0
FXM(L1)=0.D0
DO 90 J=3,M2
FY(J)=0.5D0*YCV(J-1)/YDIF(J)
90 FYM(J)=1.D0-FY(J)
FY(2)=0.D0
FYM(2)=1.D0
FY(M1)=1.D0
FYM(M1)=0.D0
CON,AP,U,V,RHO,PC,C,T AND P ARRAYS ARE INITIALIZED HERE
DO 95 J=1,M1
DO 95 I=1,L1
PC(I,J)=0.D0
U(I,J)=0.D0
V(I,J)=0.D0
Tf(i,j)=0.D0
Ts(i,j)=0.D0
CON(I,J)=0.D0
AP(I,J)=0.D0
RHO(I,J)=RHOCON
P(I,J)=0.D0
95 CONTINUE
OPEN(2,FILE=LISFIL)
IF(MODE.EQ.1) WRITE (1,1)
IF(MODE.EQ.2) WRITE (1,2)
IF(MODE.EQ.3) WRITE (1,3)
WRITE (1,4)
RETURN
C---------------------------------------------------------------
ENTRY SETUP2
COEFFICIENTS FOR THE U EQUATION
NF=1
IF(.NOT.LSOLVE(NF)) GO TO 100
IST=3
JST=2
CALL GAMSOR
REL=1.D0-RELAX(NF)
DO 102 I=3,L2
FL=XCVI(I)*V(I,2)*RHO(I,1)
FLM=XCVIP(I-1)*V(I-1,2)*RHO(I-1,1)
FLOW=R(1)*(FL+FLM)
DIFF=R(1)*(XCVI(I)*GAM(I,1)+XCVIP(I-1)*GAM(I-1,1))/YDIF(2)
CALL DIFLOW
102 AJM(I,2)=ACOF+MAX(ZERO,FLOW)
DO 103 J=2,M2
FLOW=ARX(J)*U(2,J)*RHO(1,J)
DIFF=ARX(J)*GAM(1,J)/(XCV(2)*SX(J))
CALL DIFLOW
AIM(3,J)=ACOF+MAX(ZERO,FLOW)
DO 103 I=3,L2
IF(I.EQ.L2) GO TO 104
FL=U(I,J)*(FX(I)*RHO(I,J)+FXM(I)*RHO(I-1,J))
FLP=U(I+1,J)*(FX(I+1)*RHO(I+1,J)+FXM(I+1)*RHO(I,J))
FLOW=ARX(J)*0.5D0*(FL+FLP)
DIFF=ARX(J)*GAM(I,J)/(XCV(I)*SX(J))
GO TO 105
104 FLOW=ARX(J)*U(L1,J)*RHO(L1,J)
DIFF=ARX(J)*GAM(L1,J)/(XCV(L2)*SX(J))
105 CALL DIFLOW
AIM(I+1,J)=ACOF+MAX(ZERO,FLOW)
AIP(I,J)=AIM(I+1,J)-FLOW
IF(J.EQ.M2) GO TO 106
FL=XCVI(I)*V(I,J+1)*(FY(J+1)*RHO(I,J+1)+FYM(J+1)*RHO(I,J))
FLM=XCVIP(I-1)*V(I-1,J+1)*(FY(J+1)*RHO(I-1,J+1)+FYM(J+1)*
1 RHO(I-1,J))
GM=GAM(I,J)*GAM(I,J+1)/(YCV(J)*GAM(I,J+1)+YCV(J+1)*GAM(I,J)+
1 1.0D-30)*XCVI(I)
GMM=GAM(I-1,J)*GAM(I-1,J+1)/(YCV(J)*GAM(I-1,J+1)+YCV(J+1)*
1 GAM(I-1,J)+1.0D-30)*XCVIP(I-1)
DIFF=RMN(J+1)*2.D0*(GM+GMM)
GO TO 107
106 FL=XCVI(I)*V(I,M1)*RHO(I,M1)
FLM=XCVIP(I-1)*V(I-1,M1)*RHO(I-1,M1)
DIFF=R(M1)*(XCVI(I)*GAM(I,M1)+XCVIP(I-1)*GAM(I-1,M1))/YDIF(M1)
107 FLOW=RMN(J+1)*(FL+FLM)
CALL DIFLOW
AJM(I,J+1)=ACOF+MAX(ZERO,FLOW)
AJP(I,J)=AJM(I,J+1)-FLOW
VOL=YCVR(J)*XCVS(I)
APT=(RHO(I,J)*XCVI(I)+RHO(I-1,J)*XCVIP(I-1))
1/(XCVS(I)*DT)
AP(I,J)=AP(I,J)-APT
CON(I,J)=CON(I,J)+APT*U(I,J)
AP(I,J)=(-AP(I,J)*VOL+AIP(I,J)+AIM(I,J)+AJP(I,J)+AJM(I,J))
1/RELAX(NF)
CON(I,J)=CON(I,J)*VOL+REL*AP(I,J)*U(I,J)
DU(I,J)=VOL/(XDIF(I)*SX(J))
CON(I,J)=CON(I,J)+DU(I,J)*(P(I-1,J)-P(I,J))
DU(I,J)=DU(I,J)/AP(I,J)
103 CONTINUE
CALL SOLVE
100 CONTINUE
COEFFICIENTS FOR THE V EQUATION----------------------------------
NF=2
IF(.NOT.LSOLVE(NF)) GO TO 200
IST=2
JST=3
CALL GAMSOR
REL=1.D0-RELAX(NF)
DO 202 I=2,L2
AREA=R(1)*XCV(I)
FLOW=AREA*V(I,2)*RHO(I,1)
DIFF=AREA*GAM(I,1)/YCV(2)
CALL DIFLOW
202 AJM(I,3)=ACOF+MAX(ZERO,FLOW)
DO 203 J=3,M2
FL=ARXJ(J)*U(2,J)*RHO(1,J)
FLM=ARXJP(J-1)*U(2,J-1)*RHO(1,J-1)
FLOW=FL+FLM
DIFF=(ARXJ(J)*GAM(1,J)+ARXJP(J-1)*GAM(1,J-1))/(XDIF(2)*SXMN(J))
CALL DIFLOW
AIM(2,J)=ACOF+MAX(ZERO,FLOW)
DO 203 I=2,L2
IF(I.EQ.L2) GO TO 204
FL=ARXJ(J)*U(I+1,J)*(FX(I+1)*RHO(I+1,J)+FXM(I+1)*RHO(I,J))
FLM=ARXJP(J-1)*U(I+1,J-1)*(FX(I+1)*RHO(I+1,J-1)+FXM(I+1)*
1 RHO(I,J-1))
GM=GAM(I,J)*GAM(I+1,J)/(XCV(I)*GAM(I+1,J)+XCV(I+1)*GAM(I,J)+
1 1.0D-30)*ARXJ(J)
GMM=GAM(I,J-1)*GAM(I+1,J-1)/(XCV(I)*GAM(I+1,J-1)+XCV(I+1)*
1 GAM(I,J-1)+1.0D-30)*ARXJP(J-1)
DIFF=2.D0*(GM+GMM)/SXMN(J)
GO TO 205
204 FL=ARXJ(J)*U(L1,J)*RHO(L1,J)
FLM=ARXJP(J-1)*U(L1,J-1)*RHO(L1,J-1)
DIFF=(ARXJ(J)*GAM(L1,J)+ARXJP(J-1)*GAM(L1,J-1))/(XDIF(L1)*SXMN(J))
205 FLOW=FL+FLM
CALL DIFLOW
AIM(I+1,J)=ACOF+MAX(ZERO,FLOW)
AIP(I,J)=AIM(I+1,J)-FLOW
IF(J.EQ.M2) GO TO 206
AREA=R(J)*XCV(I)
FL=V(I,J)*(FY(J)*RHO(I,J)+FYM(J)*RHO(I,J-1))*RMN(J)
FLP=V(I,J+1)*(FY(J+1)*RHO(I,J+1)+FYM(J+1)*RHO(I,J))*RMN(J+1)
FLOW=(FV(J)*FL+FVP(J)*FLP)*XCV(I)
DIFF=AREA*GAM(I,J)/YCV(J)
GO TO 207
206 AREA=R(M1)*XCV(I)
FLOW=AREA*V(I,M1)*RHO(I,M1)
DIFF=AREA*GAM(I,M1)/YCV(M2)
207 CALL DIFLOW
AJM(I,J+1)=ACOF+MAX(ZERO,FLOW)
AJP(I,J)=AJM(I,J+1)-FLOW
VOL=YCVRS(J)*XCV(I)
SXT=SX(J)
IF(J.EQ.M2) SXT=SX(M1)
SXB=SX(J-1)
IF(J.EQ.3) SXB=SX(1)
APT=(ARXJ(J)*RHO(I,J)*0.5D0*(SXT+SXMN(J))+ARXJP(J-1)*RHO(I,J-1)*
10.5D0*(SXB+SXMN(J)))/(YCVRS(J)*DT)
AP(I,J)=AP(I,J)-APT
CON(I,J)=CON(I,J)+APT*V(I,J)
AP(I,J)=(-AP(I,J)*VOL+AIP(I,J)+AIM(I,J)+AJP(I,J)+AJM(I,J))
1/RELAX(NF)
CON(I,J)=CON(I,J)*VOL+REL*AP(I,J)*V(I,J)
DV(I,J)=VOL/YDIF(J)
CON(I,J)=CON(I,J)+DV(I,J)*(P(I,J-1)-P(I,J))
DV(I,J)=DV(I,J)/AP(I,J)
203 CONTINUE
CALL SOLVE
200 CONTINUE
COEFFICIENTS FOR THE PRESSURE CORRECTION EQUATION-------------------
NF=3
IF(.NOT.LSOLVE(NF)) GO TO 500
IST=2
JST=2
CALL GAMSOR
SMAX=0.D0
SSUM=0.D0
DO 390 J=2,M2
DO 390 I=2,L2
VOL=YCVR(J)*XCV(I)
390 CON(I,J)=CON(I,J)*VOL
DO 402 I=2,L2
ARHO=R(1)*XCV(I)*RHO(I,1)
CON(I,2)=CON(I,2)+ARHO*V(I,2)
402 AJM(I,2)=0.D0
DO 403 J=2,M2
ARHO=ARX(J)*RHO(1,J)
CON(2,J)=CON(2,J)+ARHO*U(2,J)
AIM(2,J)=0.D0
DO 403 I=2,L2
IF(I.EQ.L2) GO TO 404
ARHO=ARX(J)*(FX(I+1)*RHO(I+1,J)+FXM(I+1)*RHO(I,J))
FLOW=ARHO*U(I+1,J)
CON(I,J)=CON(I,J)-FLOW
CON(I+1,J)=CON(I+1,J)+FLOW
AIP(I,J)=ARHO*DU(I+1,J)
AIM(I+1,J)=AIP(I,J)
GO TO 405
404 ARHO=ARX(J)*RHO(L1,J)
CON(I,J)=CON(I,J)-ARHO*U(L1,J)
AIP(I,J)=0.D0
405 IF(J.EQ.M2) GO TO 406
ARHO=RMN(J+1)*XCV(I)*(FY(J+1)*RHO(I,J+1)+FYM(J+1)*RHO(I,J))
FLOW=ARHO*V(I,J+1)
CON(I,J)=CON(I,J)-FLOW
CON(I,J+1)=CON(I,J+1)+FLOW
AJP(I,J)=ARHO*DV(I,J+1)
AJM(I,J+1)=AJP(I,J)
GO TO 407
406 ARHO=RMN(M1)*XCV(I)*RHO(I,M1)
CON(I,J)=CON(I,J)-ARHO*V(I,M1)
AJP(I,J)=0.D0
407 AP(I,J)=AIP(I,J)+AIM(I,J)+AJP(I,J)+AJM(I,J)
PC(I,J)=0.D0
SMAX=MAX(SMAX,ABS(CON(I,J)))
SSUM=SSUM+CON(I,J)
403 CONTINUE
CALL SOLVE
COME HERE TO CORRECT THE PRESSURE AND VELOCITIES-------------------
DO 501 J=2,M2
DO 501 I=2,L2
P(I,J)=P(I,J)+PC(I,J)*RELAX(NP)
IF(I.NE.2) U(I,J)=U(I,J)+DU(I,J)*(PC(I-1,J)-PC(I,J))
IF(J.NE.2) V(I,J)=V(I,J)+DV(I,J)*(PC(I,J-1)-PC(I,J))
501 CONTINUE
500 CONTINUE
COEFFICIENTS FOR OTHER EQUATIONS-----------------------------------
IST=2
JST=2
DO 600 N=4,NFMAX
NF=N
IF(.NOT.LSOLVE(NF)) GO TO 600
CALL GAMSOR
REL=1.D0-RELAX(NF)
DO 602 I=2,L2
AREA=R(1)*XCV(I)
FLOW=AREA*V(I,2)*RHO(I,1)
DIFF=AREA*GAM(I,1)/YDIF(2)
CALL DIFLOW
602 AJM(I,2)=ACOF+MAX(ZERO,FLOW)
DO 603 J=2,M2
FLOW=ARX(J)*U(2,J)*RHO(1,J)
DIFF=ARX(J)*GAM(1,J)/(XDIF(2)*SX(J))
CALL DIFLOW
AIM(2,J)=ACOF+MAX(ZERO,FLOW)
DO 603 I=2,L2
IF(I.EQ.L2) GO TO 604
FLOW=ARX(J)*U(I+1,J)*(FX(I+1)*RHO(I+1,J)+FXM(I+1)*RHO(I,J))
DIFF=ARX(J)*2.D0*GAM(I,J)*GAM(I+1,J)/((XCV(I)*GAM(I+1,J)+
+ XCV(I+1)*GAM(I,J)+1.0D-30)*SX(J))
GO TO 605
604 FLOW=ARX(J)*U(L1,J)*RHO(L1,J)
DIFF=ARX(J)*GAM(L1,J)/(XDIF(L1)*SX(J))
605 CALL DIFLOW
AIM(I+1,J)=ACOF+MAX(ZERO,FLOW)
AIP(I,J)=AIM(I+1,J)-FLOW
AREA=RMN(J+1)*XCV(I)
IF(J.EQ.M2) GO TO 606
FLOW=AREA*V(I,J+1)*(FY(J+1)*RHO(I,J+1)+FYM(J+1)*RHO(I,J))
DIFF=AREA*2.D0*GAM(I,J)*GAM(I,J+1)/(YCV(J)*GAM(I,J+1)+
+ YCV(J+1)*GAM(I,J)+1.0D-30)
GO TO 607
606 FLOW=AREA*V(I,M1)*RHO(I,M1)
DIFF=AREA*GAM(I,M1)/YDIF(M1)
607 CALL DIFLOW
AJM(I,J+1)=ACOF+MAX(ZERO,FLOW)
AJP(I,J)=AJM(I,J+1)-FLOW
VOL=YCVR(J)*XCV(I)
APT=RHO(I,J)/DT
AP(I,J)=AP(I,J)-APT
CON(I,J)=CON(I,J)+APT*F(I,J,NF)
AP(I,J)=(-AP(I,J)*VOL+AIP(I,J)+AIM(I,J)+AJP(I,J)+AJM(I,J))
+/RELAX(NF)
CON(I,J)=CON(I,J)*VOL+REL*AP(I,J)*F(I,J,NF)
603 CONTINUE
CALL SOLVE
600 CONTINUE
TIME=TIME+DT
ITER=ITER+1
IF(ITER.GE.LAST) LSTOP=.TRUE.
RETURN
END
SUBROUTINE sinmesh(D,N,L)
! DIVIDES A LENGTH SYMMETRICALLY WITH FINER MESHES ON BOTH ENDS
! D(I)= GRID LENGTH OF INTERVAL I [d(i)=c*(sin(pi/2*N))**2*i]
! N = NUMBER OF NODES(NO OF INTERVALS+1)
! L = LENGTH TO BE DIVIDED
REAL L,SUM
DIMENSION D(N+1)
PI=3.1415927
A=PI/N
C=A*L/(2-A/2*(SIN(A/4)+SIN(PI-A/4)))
SUM=0
DO I=1,N-1
D(I)=C*SIN(A*I)
SUM=SUM+D(I)
END DO
DIF=(SUM-L)/(N-1)
DO I=1,N-1
D(I)=D(I)-DIF
END DO
! START D FROM 2
DO I=N,2,-1
D(I)=D(I-1)
END DO
D(1)=0
RETURN
END
CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
SUBROUTINE SUPPLY
C******************************************************************
IMPLICIT DOUBLE PRECISION (A-H,O-Z)
PARAMETER (ID=400,JD=400,IMX=400)
PARAMETER (LIV=10)
PARAMETER (LV=LIV+3)
PARAMETER (LIV1=LIV+1,LIV2=LIV+2,LIV3=LIV+3)
CHARACTER*40 INPUTF,SAVEF,LISFIL
CHARACTER*10 TITLE
COMMON/FILE/INPUTF,SAVEF,LISFIL,TITLE(LV)
! LOGICAL LSOLVE,LPRINT,LBLK,LSTOP,LINPUT,LSAVE
LOGICAL LSOLVE,LPRINT,LBLK,LINPUT,LSAVE
COMMON F(ID,JD,LV),CON(ID,JD),
1 AIP(ID,JD),AIM(ID,JD),AJP(ID,JD),AJM(ID,JD),AP(ID,JD),
2 X(ID),XU(ID),XDIF(ID),XCV(ID),XCVS(ID),
3 Y(JD),YV(JD),YDIF(JD),YCV(JD),YCVS(JD),
4 YCVR(JD),YCVRS(JD),ARX(JD),ARXJ(JD),ARXJP(JD),
5 R(JD),RMN(JD),SX(JD),SXMN(JD),XCVI(ID),XCVIP(ID)
COMMON DU(ID,JD),DV(ID,JD), FV(JD),FVP(JD),
1 FX(ID),FXM(ID),FY(JD),FYM(JD),PT(IMX),QT(IMX)
COMMON/INDX/NF,NFMAX,NP,NRHO,NGAM,L1,L2,L3,M1,M2,M3,
1 IST,JST,ITER,LAST,RELAX(LV),TIME,DT,XL,YL,
2 IPREF,JPREF,LSOLVE(LV),LPRINT(LV),LBLK(LV),MODE,NTIMES(LV),
3 RHOCON,LINPUT(LV),LSAVE(LV),
4amb1,amb2,amb3,amb4,amb5,amb6
DIMENSION U(ID,JD),V(ID,JD),PC(ID,JD)
DIMENSION P(ID,JD),RHO(ID,JD),GAM(ID,JD)
EQUIVALENCE(F(1,1,LIV1),P(1,1)),(F(1,1,LIV2),RHO(1,1)),
1 (F(1,1,LIV3),GAM(1,1))
EQUIVALENCE(F(1,1,1),U(1,1)),(F(1,1,2),V(1,1)),(F(1,1,3),PC(1,1))
DIMENSION TH(ID),THU(ID),THDIF(ID),THCV(ID),THCVS(ID)
EQUIVALENCE(X,TH),(XU,THU),(XDIF,THDIF),(XCV,THCV)
1 ,(XCVS,THCVS),(XL,THL)
C******************************************************************
10 FORMAT('1',26(1H*),3X,A10,3X,26(1H*))
20 FORMAT(1X,4H I =,I6,6I9)
30 FORMAT(1X,1HJ)
40 FORMAT(1X,I2,1P7E9.2)
50 FORMAT(1X,1H )
51 FORMAT(1X,'I =',2X,7(I4,1X))
52 FORMAT(1X,'X =',1P7E9.2)
53 FORMAT(1X,'TH =',1P7E9.2)
54 FORMAT(1X,'J =',2X,7(I4,1X))
55 FORMAT(1X,'Y =',1P7E9.2)
C******************************************************************
ENTRY UGRID
XU(2)=0.D0
DX=XL/DBLE(L1-2)
DO 1 I=3,L1
1 XU(I)=XU(I-1)+DX
YV(2)=0.D0
DY=YL/DBLE(M1-2)
DO 2 J=3,M1
2 YV(J)=YV(J-1)+DY
RETURN
C************************************************
ENTRY PRINT
IF(.NOT.LPRINT(3)) GO TO 80
CALCULATE THE STREAM FUNCTION---------------------------------------
F(2,2,3)=0.
DO 82 I=2,L1
IF(I.NE.2) F(I,2,3)=F(I-1,2,3)-RHO(I-1,1)*V(I-1,2)
1*XCV(I-1)
DO 82 J=3,M1
RHOM=FX(I)*RHO(I,J-1)+FXM(I)*RHO(I-1,J-1)
82 F(I,J,3)=F(I,J-1,3)+RHOM*U(I,J-1)*ARX(J-1)
80 CONTINUE
C IF(.NOT.LPRINT(np)) GO TO 90
C
CONSTRUCT BOUNDARY PRESSURES BY EXTRAPOLATION
DO 91 J=2,M2
P(1,J)=(P(2,J)*XCVS(3)-P(3,J)*XDIF(2))/XDIF(3)
91 P(L1,J)=(P(L2,J)*XCVS(L2)-P(L3,J)*XDIF(L1))/XDIF(L2)
DO 92 I=2,L2
P(I,1)=(P(I,2)*YCVS(3)-P(I,3)*YDIF(2))/YDIF(3)
92 P(I,M1)=(P(I,M2)*YCVS(M2)-P(I,M3)*YDIF(M1))/YDIF(M2)
P(1,1)=P(2,1)+P(1,2)-P(2,2)
P(L1,1)=P(L2,1)+P(L1,2)-P(L2,2)
P(1,M1)=P(2,M1)+P(1,M2)-P(2,M2)
P(L1,M1)=P(L2,M1)+P(L1,M2)-P(L2,M2)
PREF=P(IPREF,JPREF)
DO 93 J=1,M1
DO 93 I=1,L1
93 P(I,J)=P(I,J)-PREF
90 CONTINUE
C
c PRINT 50
write(7,50)
c write(7,*)
IEND=0
301 IF(IEND.EQ.L1) GO TO 310
IBEG=IEND+1
IEND=IEND+10
! IEND=MIN0(IEND,L1)
c PRINT 50
! write(7,50)
c write(*,50)
c PRINT 51,(I,I=IBEG,IEND)
! write(7,51) (i,i=ibeg,iend)
c write(*,51) (i,i=ibeg,iend)
IF(MODE.EQ.3) GO TO 302
c PRINT 52,(X(I),I=IBEG,IEND)
! write(7,52) (x(i),i=ibeg,iend)
c write(*,52) (x(i),i=ibeg,iend)
GO TO 303
c 302 PRINT 53,(X(I),I=IBEG,IEND)
302 write(7,53) (x(i),i=ibeg,iend)
c write(*,53) (x(i),i=ibeg,iend)
303 GO TO 301
310 JEND=0
c PRINT 50
! write(7,50)
c write(*,50)
311 IF(JEND.EQ.M1) GO TO 320
JBEG=JEND+1
JEND=JEND+10
! JEND=MIN0(JEND,M1)
c PRINT 50
! write(7,50)
c write(*,50)
! write(7,54) (j,j=jbeg,jend)
c write(*,54) (j,j=jbeg,jend)
! write(7,55) (y(j),j=jbeg,jend)
c write(*,55) (y(j),j=jbeg,jend)
c PRINT 54,(J,J=JBEG,JEND)
c PRINT 55,(Y(J),J=JBEG,JEND)
GO TO 311
320 CONTINUE
C
DO 999 NF=1,NGAM
IF(.NOT.LPRINT(NF)) GO TO 999
c PRINT 50
c PRINT 10,TITLE(NF)
! write(7,50)
c write(*,50)
! write(7,10) title(nf)
c write(*,10) title(nf)
IFST=1
JFST=1
IF(NF.EQ.1.OR.NF.EQ.3) IFST=2
IF(NF.EQ.2.OR.NF.EQ.3) JFST=2
IBEG=IFST-10
110 CONTINUE
! IBEG=IBEG+10
! IEND=IBEG+9
! IEND=MIN0(IEND,L1)
c PRINT 50
! write(7,50)
c write(*,50)
! write(7,20) (i,i=ibeg,iend)
c write(*,20) (i,i=ibeg,iend)
c PRINT 20,(I,I=IBEG,IEND)
c PRINT 30
! write(7,30)
c write(*,30)
!! JFL=JFST+M1
! DO 115 JJ=JFST,M1
! J=JFL-JJ
c PRINT 40,J,(F(I,J,NF),I=IBEG,IEND)
! write(7,40) J,(F(I,J,NF),I=IBEG,IEND)
c write(*,40) J,(F(I,J,NF),I=IBEG,IEND)
115 CONTINUE
! IF(IEND.LT.L1) GO TO 110
999 CONTINUE
RETURN
end
C ********************************************************
SUBROUTINE USER
C ********************************************************
IMPLICIT DOUBLE PRECISION (A-H,O-Z)
PARAMETER (ID=400,JD=400,IMX=400)
PARAMETER (LIV=10)
PARAMETER (LV=LIV+3)
PARAMETER (LIV1=LIV+1,LIV2=LIV+2,LIV3=LIV+3)
CHARACTER*40 INPUTF,SAVEF,LISFIL
COMMON/FILE/INPUTF,SAVEF,LISFIL,TITLE(LV)
CHARACTER*10 TITLE
LOGICAL LSOLVE,LPRINT,LBLK,LSTOP,LINPUT,LSAVE
COMMON F(ID,JD,LV),CON(ID,JD),
1 AIP(ID,JD),AIM(ID,JD),AJP(ID,JD),AJM(ID,JD),AP(ID,JD),
2 X(ID),XU(ID),XDIF(ID),XCV(ID),XCVS(ID),
3 Y(JD),YV(JD),YDIF(JD),YCV(JD),YCVS(JD),YCVR(JD),
4 YCVRS(JD),ARX(JD),ARXJ(JD),ARXJP(JD),R(JD),RMN(JD),
5 SX(JD),SXMN(JD),XCVI(JD),XCVIP(JD)
COMMON DU(ID,JD),DV(ID,JD),FV(JD),FVP(JD),
1 FX(ID),FXM(ID),FY(JD),FYM(JD),PT(IMX),QT(IMX)
2 ,NCVX(ID),NCVY(JD),XZONE(ID),YZONE(JD),POWRX(ID),POWRY(JD)
COMMON/INDX/NF,NFMAX,NP,NRHO,NGAM,L1,L2,L3,M1,M2,M3,
1 IST,JST,ITER,LAST,RELAX(LV),TIME,DT,XL,YL,IPREF,
2 JPREF,LSOLVE(LV),LPRINT(LV),LBLK(LV),MODE,NTIMES(LV),
3 RHOCON,LINPUT(LV),LSAVE(LV)
COMMON/CNTL/LSTOP
COMMON/SORC/SMAX,SSUM,amb1,amb2,amb3,amb4,amb5,amb6
COMMON/COEF/FLOW,DIFF,ACOF
COMMON Uold(ID,JD),Vold(ID,JD),Tfold(ID,JD),cold(ID,JD),
*Pold(ID,JD),Psiol(ID,JD)
DIMENSION U(ID,JD),V(ID,JD),PC(ID,JD),C(ID,JD),xmu(id,jd),
*ama1(ID,JD),ama2(ID,JD),ama3(ID,JD),ama4(ID,JD),ama5(ID,JD),
* ama6(ID,JD)
DIMENSION P(ID,JD),RHO(ID,JD),GAM(ID,JD),coef1(id)
EQUIVALENCE(F(1,1,LIV1),P(1,1)),(F(1,1,LIV2),RHO(1,1)),
1 (F(1,1,LIV3),GAM(1,1))
EQUIVALENCE(F(1,1,1),U(1,1)),(F(1,1,2),V(1,1)),
1 (F(1,1,3),PC(1,1)),(F(1,1,4),C(1,1))
DIMENSION TH(ID),THU(ID),THDIF(ID),THCV(ID),THCVS(ID)
EQUIVALENCE(X,TH),(XU,THU),(XDIF,THDIF),(XCV,THCV),
1 (XCVS,THCVS),(XL,THL)
dimension somu(id,jd),somy(id,jd),umoy(id,jd),COEF2(id),
1somV(id,jd),somP(id,jd),somC(id,jd),s(id,jd)
dimension Xpi(id,jd),dMpi(id),b(id,jd),d2(id,jd),a(id,jd)
DIMENSION GAMU1(id,jd),gamc(id,jd),gamu2(id,jd),dp2(id)
dimension conu1(id,jd),conu2(id,jd),conc(id,jd),APu1(id,jd)
dimension apu2(id,jd),apc(id,jd),d(id),dmoy(id),c1(id),a1(id),
;b1(id),aS(id),bS(id)
CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
CCCCCCCC--------LISTING DE LA PARTIE USER-----------CCCCCCCCC
C*************************************************************
C programme
C
C*************************************************************
c --------------
ENTRY GRID
mode=2
l1=250
m1=120
L5=L1-250
m5=46
!m7=m5+1
!m6=
xL=0.250
yL=0.0032
n=M1+1
L=yl
yl5=yl-0.002
!yl6=(yl-YL5)/
l2=l1-1
l3=l2-1
m2=m1-1
m3=m2-1
call ugrid
call sinmesh(D,n,l)
!YV(2)=0.
!DY=YL/FLOAT(M1-2)
c DO 2 J=3,M1
c WRITE(*,*)j,Yv(J)
c 2 PAUSE
! 2 YV(J)=YV(J-1)+D(i)
RETURN
c --------------
ENTRY START
LAST=1000
do k=1,6
lsolve(k)=.true.
lblk(5)=.true.
!Ntimes(k)=10
enddo
c********données Fixes****************************
dK=2.e-10
dR=0.95
Co=0.002
umoy22=0.002
dp=5.E+5
crt=1E-2
crt1=0
cccccccccccccccccc pr les donné
do i=1,l1
do j=1,m1
c P(2,j)=.E+5
c P(L2,j)=-1.5E+5
pc(j,l1)=0
!d(i)=c*(sin(pi/2*N))**2*i
b(i,j)=1.451e-9
Rho(i,j)=997.1*(1+0.694*C(i,j))
A(i,j)=1.61E-9*(1-14*C(i,J))
D2(i,j)=dMAX1(a(i,j),b(i,j))
!PRINT*,d(i,j)
XPI(i,j)=(805E+5)*C(i,j) !*1.E-7
xmu(i,j)=(0.891E-3)*(1+1.63*C(i,j))
c write(*,*) 'xmu(i,j)',i,j,xmu(i,j)
!Pref =0.5E+5
dp2(i)=(P(i,m5)-p(i,m5-1)) !*Pref !+10.e+5
c dp2(i)=P(i,m5-1)
!((p(2,m5+1)+P(L1,M5+1))/2)-1.E+5
! XpI(i,m5-1)=XPI(i,M5)+5E5
dmoy(i)=2*d2(i,M5)*d2(i,m5-1)/(d2(i,m5)+d2(i,m5-1)+1E-25)
dmpi(i)=xpi(i,M5)-xpi(i,m5-1)
!write(*,*) 'i dMPI(i)dp2(i)',i,Pref,p(i,m5),dp2(i)
enddo
enddo
cccccccccccccccccccccccpr les gam******************
do i=1,L1
do j=1,m1
gamU1(i,j)=xmu(i,j)
gamu2(i,j)=xmu(i,j)
gamc(i,j)=rho(i,j)*D2(i,j)
c gamU1(i,M5)=1.E-20
c gamu2(i,M5)=1.E-20
CONu1(i,j)=0.
CONu2(i,j)=0.
CONC(i,j)=0.
APU1(i,j)=0.
APu2(i,j)=0.
APC(i,j)=0.
!apu1(i,M5)=-1.
!apu2(i,M5)=-1.
!Conu1(i,M5)=0.
!Conu2(i,M5)=V(i,M5)
enddo
enddo
ccc***************************************************************************
c initialisation de la concentration
c*****************************ccccccccccccccccc************************
do i=1,l1
do j=1,m1
! u(2,j)=6*umoy22*(yv(j)/(YL))*(1-(yv(j)/yl))
!u(2,j)=0.
c u(2,j)=umoy22
!C(i,j)=0.
!C(1,j)=0.
C write(143,*)j,yv(j),u(2,j)
c P(i,j)=1.E+5
enddo
enddo
do i=1,l1
do j=m5,m1
!u(2,j)=6*umoy22*((yv(j)-yv(M5))/(0.002))*(1-((yv(j)-yv(M5))/
! .0.002))
! u(2,j)=umoy22
!
! C(i,j)=Co
! C(1,j)=Co
enddo
enddo
! do i=1,L1
! do J=1,M5
! c(i,j)=0
! enddo
! enddo
RETURN
C -------------
ENTRY DENSE
C -------------
!do i=1,l1
!S(i,m5)=(ydif(m5))/(rho(i,m5+1)*d2(i,M5)+1.e-25)
!s(i,m5)=2E12
! enddo
if(iter.le.last)then
relax(1)=0.0001d0
relax(2)=0.01d0
relax(4)=0.7d0
relax(5)=0.9d0
relax(5)=0.9d0
endif
if(iter.gt.2)then
amb1=0.
amb2=0.
amb3=0.
amb4=0.
amb5=0.
amb6=0.
endif
do 71 i=2,l2
do 71 j=3,m2
ama1(i,j)=abs((u(i,j)-uold(i,j))/(u(i,j)+1.e-25))
amb1=max(amb1,ama1(i,j))
71 continue
do 72 i=2,l2
do 72 j=3,m2
ama2(i,j)=abs((v(i,j)-vold(i,j))/(v(i,j)+1.e-25))
amb2=max(amb2,ama2(i,j))
72 continue
do 721 i=2,l2
do 721 j=3,m2
ama5(i,j)=abs((P(i,j)-Pold(i,j))/(P(i,j)+1.e-25))
amb5=max(amb5,ama5(i,j))
721 continue
do 722 i=2,l2
do 722 j=3,m2
ama6(i,j)=abs((Psiol(i,j)-F(i,j,3))/(Psiol(i,j)+1.e-25))
amb6=max(amb6,ama6(i,j))
722 continue
do 73 i=3,l2
do 73 j=2,m2
ama3(i,j)=abs((C(i,j)-Cold(i,j))/(C(i,j)+1.e-25))
amb3=max(amb3,ama3(i,j))
73 continue
xmaxerr=max(amb1,amb3)
do i=2,l1
do j=2,m1
uold(i,j)=u(i,j)
vold(i,j)=v(i,j)
Pold(i,j)=P(i,j)
enddo
enddo
do i=2,l2
do j=1,m1
cold(i,j)=c(i,j)
Psiol(i,j)=F(i,j,3)
enddo
enddo
RETURN
ENTRY BOUND
c-----sortie sortie sortie
! relax(1)=0.1 !4d0
! relax(2)=0.01 !44d0
! relax(3)=0.65d0
! relax(4)=0.65d0
do j=1,m1
! pc(j,l1)=0
! V(l1,j)=V(l2,j)
V(l1,j)=0.
U(l1,j)=U(l2,j)
c(L1,J)=C(L1-1,j)
c c(L1,J)=Co
ENDDO
c---condition sur la concentration au niveau de l'entrée
do j=M5,m1
u(2,j)=6*UMOY22*(yV(j)-yV(M5))/0.002*(1-(yV(j)-yV(M5))/0.002)
C P(1,j)=30E5
c write(*,*)j,u(2,j)
c pause
c u(2,j)=umoy22
v(1,j)=0.
enddo
do j=m5,m1
c(1,j)=co
enddo
ccondition sur I=+1 et j=1,M5coté permeat(solide pr delimité l'entrée)
do j=1,m5-1
v(1,j)=0.
u(2,j)=0.
c(1,j)=c(2,j)
END DO
********au niveau de la paroi non membranaire**********************
*******coté feed channel****
do i=2,l1
u(i,m1)=0.
ENDDO
do i=1,l1
v(i,m1)=0.
c(i,m1)=c(i,m2)
c c(i,m1)=Co
enddo
*******coté permeat*****
do i=2,l1
u(i,1)=0.
enddo
do i=1,l1
v(i,2)=0.
c(i,1)=c(i,2)
enddo
! return
! ENTRY membrane
C---------condition au limites au niveau de la membranne (partie du feed channel)
do i=1,L1
do j=M5,M1
! c(i,m5)=0.006
c(1,j)=0.002
U(i,M5)=0
V(i,M5)=dk*(dp2(i)-dMpi(i)) !
c(i,m5+1)=c(i,m5)+c(i,m5)*(0.95*(5E-6)*v(i,m5)*rho(i,M5)/
;(rho(i,m5)*D2(i,m5)+1e-25))
enddo
enddo
***********COTé Du permeat *************************
DO I=1,l1
do j=1,M5-1
U(i,M5-1)=0
v(i,M5-1)=V(i,M5)*rho(i,M5)/(rho(i,M5-1)+1E-25)
c(i,m5-1)=(c(i,m5-2)-(c(i,m5)*(ydif(m5))*rho(i,m5)*v(i,m5)*0.05/
;(rho(i,M5-1)*d2(i,M5)+1e-25)))/(1+(ydif(m5)*rho(i,m5-1)*v(i,m5-1)/
;(rho(i,m5-1)*d2(i,m5-1)+1e-25)))
enddo
enddo
RETURN
ENTRY OUTPUT
c ******my output***************************
ccccccccccc*************************************************ccccccccc
if(iter.le.last)then
goto 400
print 401
write(7,401)
401 format(1x,'iter',1x,'ssum',1x,'smax',1x,'time',1x,'v(10,10)',
*1x,'c(10,10)')
print*,last
400 print*,iter,ssum,smax,xmaxerr,V(10,m5),U(15,10)
print*,iter,ssum,smax,xmaxerr,V(L2,m5),U(L2,M5+10)
print*,iter,amb3,amb1,amb2,amb5
!print 402,iter,amb1,amb2,amb3,amb4,amb5
ITER=ITER+1
else
LSTOP=.TRUE.
402 format(i8,1p5e15.5)
endif
crt=1.E-6
crt1=1.E-4 !gam(i,M5)=1.e+05
if(iter.ge.Last-1.and.abs(ssum).lt.1.e-6)then
! if(iter.gt.10.and.abs(ssum).lt.1.e-6)then
! if(amb1.lt.crt.and.amb3.lt.crt.and.amb5.lt.crt)then
! if(amb2.lt.crt1)then
open(132,file='v.dat',status='unknown')
open(133,file='c.dat',status='unknown')
open(134,file='P.dat',status='unknown')
open(135,file='U.dat',status='unknown')
open(545,file='velocityV.dat',status='unknown')
open(12,file='Cmmbrn.dat',status='unknown')
open(15,file='VIM5.dat',status='unknown')
open(831,file='cy.dat',status='unknown')
do j=1,m1
write(831,*) yv(j),c(240,J),c(10,J)
enddo
do i=1,l1
do j=1,m1
write(132,*)xu(i),yv(j),v(i,j)
write(133,*)xu(i),yv(j),c(i,j)
write(135,*)xu(i),yv(j),U(i,j)
write(134,*)xu(i),yv(j),F(i,j,3)
enddo
enddo
do J=1,M1
write(545,*) YV(j),V(240,J),U(240,J)
enddo
do i=1,L1
write(12,*) x(i),c(i,M1),c(i,m5)
enddo
do i=1,L1
write(15,*) y(i),V(i,M5),V(i,m5-1)
enddo
lstop=.true.
endif
if(iter.eq.last)then
open(132,file='v.dat',status='unknown')
open(133,file='c.dat',status='unknown')
open(134,file='P.dat',status='unknown')
open(135,file='U.dat',status='unknown')
open(12,file='Cmmbrn.dat',status='unknown')
open(545,file='velocityV.dat',status='unknown')
!open(13,file='cy.dat',status='unknown')
open(15,file='VIM5.dat',status='unknown')
open(831,file='cy.dat',status='unknown')
do j=1,m1
write(831,*) yv(j),c(240,J),c(10,J)
enddo
do i=1,L1
write(15,*) y(i),V(i,M5),V(i,m5-1)
enddo
do i=1,l1
do j=1,M1
write(132,*)xu(i),yv(j),v(i,j)
write(133,*)x(i),y(j),c(i,j)
write(135,*)xu(i),yv(j),U(i,j)
write(134,*)xu(i),yv(j),F(i,j,3)
enddo
enddo
do i=1,L1
write(12,*) x(i),c(i,M1),c(i,m5)
enddo
!do j=m5-1,m5
!do i=1,l1
! write(15,*)yv(j),c(240,j)
! enddo
!enddo
do J=1,M1
write(545,*) YV(j),V(240,J),U(240,J)
!write(13,*)yv(j),c(240,j)
enddo
lstop=.true.
endif
! endif
! endif
c************************cccccccc*******************ccccccc********
C --------------
if(iter.le.last)then
F(2,2,3)=0.D0
DO I=2,L1
IF(I.NE.2) F(I,2,3)=F(I-1,2,3)-RHO(I-1,1)*V(I-1,2)
1*R(1)*XCV(I-1)
DO J=3,M1
RHOM=FX(I)*RHO(I,J-1)+FXM(I)*RHO(I-1,J-1)
F(I,J,3)=F(I,J-1,3)+RHOM*U(I,J-1)*ARX(J-1)
end Do
!IF(j.EQ.m5) then
!f(i,m5,5)=F(I,M5-1,5)/
! ;(1-(0.95*ydif(m5)*v(I,M5)/D2(I,M5)))
!endif
! print*,'f(i,m5-1,5),f(i,m5,5)',f(i,m5-1,5),f(i,m5,5)
! print*,'apppppppp',ap(i,m5-1),ap(i,m5)
!F(2,m5+1,3)=0.D0
!IF(j.E.m5) F(I,m5,5)=F(I,M5-1,5)/(1-(0.95*v(I,M5)/D(I,M5)
! !1*R(M5)*XCV(I-1)
! DO J=1,M5
! RHOM=FX(I)*RHO(I,J-1)+FXM(I)*RHO(I-1,J-1)
! F(I,J,3)=F(I,J-1,3)+RHOM*U(I,J-1)*ARX(J-1)
!write(*,*) 'bbbbbbbbbbbbbbbbbbb',f(i,j,3)
! end do
end Do
endif
! endif
RETURN
c --------------
ENTRY GAMSOR
C --------------
if(nf.eq.1)then
do i=1,l1
do j=1,M1
!m5
gam(i,j)=gamu1(i,j)
!gam(i,M5)=1.e+25
!gam(i,M5-1)=1.e+25
!gam(L1,j)=0.
enddo
enddo
do i=1,20
GAM(i,m5-1)=1E30
gam(i,M5)=1E30
enddo
do i=3,L2
do j=1,m1
ap(i,j)=0.
con(i,j)=0.
c ap(i,M5)=-1.
c Con(i,M5)=V(i,M5)
enddo
enddo
CONDITION SUR LAPARTIE SOLIDE
!do J=1,M5
!GAMu1(1,j)=0.89E-3 !1.4
!enddo
endif
if(nf.eq.2)then
do 560 i=1,l1
do 560 j=1,m1
gam(i,j)=gamU2(i,j)
!gam(L1,j)=0.
560 continue
do i=3,L2
do j=1,m1
ap(i,j)=0.
c ap(i,M5)=-1.
con(i,j)=0.
ENDDO
ENDDO
CONDITION SUR LAPARTIE SOLIDE
!do J=1,M5
!GAM(1,j)=0.89E-3 !1.4
!enddo
endif
if(nf.eq.4)then
do i=1,l1
do j=1,m1
gam(i,j)=gamC(i,j)
ap(i,j)=0
con(i,j)=0
! gam(i,M5)=0
!gam(i,M5)=rho(i,m5)*v(i,m5)*d2(i,m5)
! AP(i,M5)=-(V(i,M5)*V(i,M5)*rho(i,M5)*0.95)/(D2(i,M5)+1.E-25)
! con(i,M5)=0.
! gam(i,M5-1)=0
!gam(i,M5-1)=rho(i,m5-1)*v(i,m5-1)*d2(i,m5-1)
! AP(i,M5-1)=-(V(i,M5-1)*V(i,M5-1)*rho(i,M5-1))
! ;/(D2(i,M5-1)+1.E-25)
! con(i,M5-1)=C(i,M5)*(V(i,M5-1)*V(i,M5)*rho(i,M5)*0.05)
! 1/(D2(i,M5-1)+1.E-25)
!gam(L1,j)=0
C WRITE(*,*)'MMMKLKKJHJ',I,J, gam(i,j),AP(i,j),CON(i,j)
C IF(J.EQ.M5)PAUSE
C IF(J.EQ.M5-1)PAUSE
ENDDO
ENDDO
endif
c************************************************************************************
return
end |
Algorithme simpler pour la simulation de transfert de masse (osmose inverse)
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