/[MITgcm]/MITgcm/pkg/generic_advdiff/gad_dst3fl_adv_x.F
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revision 1.7 by heimbach, Fri Aug 19 22:19:35 2005 UTC revision 1.15 by mlosch, Thu Oct 13 15:10:32 2011 UTC
# Line 3  C $Name$ Line 3  C $Name$
3    
4  #include "GAD_OPTIONS.h"  #include "GAD_OPTIONS.h"
5    
6        SUBROUTINE GAD_DST3FL_ADV_X(        SUBROUTINE GAD_DST3FL_ADV_X(
7       I           bi,bj,k,deltaTloc,       I           bi,bj,k, calcCFL, deltaTloc,
8       I           uTrans, uVel,       I           uTrans, uFld,
9       I           maskLocW, tracer,       I           maskLocW, tracer,
10       O           uT,       O           uT,
11       I           myThid )       I           myThid )
# Line 23  C     == GLobal variables == Line 23  C     == GLobal variables ==
23    
24  C     == Routine arguments ==  C     == Routine arguments ==
25        INTEGER bi,bj,k        INTEGER bi,bj,k
26          LOGICAL calcCFL
27        _RL deltaTloc        _RL deltaTloc
28        _RL uTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy)        _RL uTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
29        _RL uVel(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy)        _RL uFld  (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
30        _RS maskLocW(1-OLx:sNx+OLx,1-OLy:sNy+OLy)        _RS maskLocW(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
31        _RL tracer(1-OLx:sNx+OLx,1-OLy:sNy+OLy)        _RL tracer(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
32        _RL uT    (1-OLx:sNx+OLx,1-OLy:sNy+OLy)        _RL uT    (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
33        INTEGER myThid        INTEGER myThid
34    
35  C     == Local variables ==  C     == Local variables ==
 C     uFld   :: velocity [m/s], zonal component  
36        INTEGER i,j        INTEGER i,j
37        _RL Rjm,Rj,Rjp,cfl,d0,d1,psiP,psiM,thetaP,thetaM        _RL Rjm,Rj,Rjp,uCFL,d0,d1,psiP,psiM,thetaP,thetaM
38        _RL uFld        _RL thetaMax
39          PARAMETER( thetaMax = 1.D+20 )
40    
41    C- jmc: an alternative would be to compute directly psiM*Rj & psiP*Rj
42    C       (if Rj*Rjm < 0 => psiP*Rj = 0 , elsef Rj > 0 ... , else  ... )
43    C       with no need to compute thetaM (might be easier to differentiate)
44    
45        DO j=1-Oly,sNy+Oly        DO j=1-Oly,sNy+Oly
46         uT(1-Olx,j)=0.D0         uT(1-Olx,j)=0. _d 0
47         uT(2-Olx,j)=0.D0         uT(2-Olx,j)=0. _d 0
48         uT(sNx+Olx,j)=0.D0         uT(sNx+Olx,j)=0. _d 0
49          ENDDO
50          DO j=1-Oly,sNy+Oly
51         DO i=1-Olx+2,sNx+Olx-1         DO i=1-Olx+2,sNx+Olx-1
52    #if (defined ALLOW_AUTODIFF_TAMC && defined TARGET_NEC_SX)
53    C     These lines make TAF create vectorizable code
54            thetaP = 0. _d 0
55            thetaM = 0. _d 0
56    #endif
57          Rjp=(tracer(i+1,j)-tracer( i ,j))*maskLocW(i+1,j)          Rjp=(tracer(i+1,j)-tracer( i ,j))*maskLocW(i+1,j)
58          Rj =(tracer( i ,j)-tracer(i-1,j))*maskLocW( i ,j)          Rj =(tracer( i ,j)-tracer(i-1,j))*maskLocW( i ,j)
59          Rjm=(tracer(i-1,j)-tracer(i-2,j))*maskLocW(i-1,j)          Rjm=(tracer(i-1,j)-tracer(i-2,j))*maskLocW(i-1,j)
60    
61  c       uFld = uVel(i,j,k,bi,bj)          uCFL = uFld(i,j)
62          uFld = uTrans(i,j)*recip_dyG(i,j,bi,bj)          IF ( calcCFL ) uCFL = ABS( uFld(i,j)*deltaTloc
63       &       *recip_drF(k)*recip_hFacW(i,j,k,bi,bj)       &                  *recip_dxC(i,j,bi,bj)*recip_deepFacC(k) )
64          cfl=abs(uFld*deltaTloc*recip_dxC(i,j,bi,bj))          d0=(2. _d 0 -uCFL)*(1. _d 0 -uCFL)*oneSixth
65          d0=(2.D0-cfl)*(1.D0-cfl)*oneSixth          d1=(1. _d 0 -uCFL*uCFL)*oneSixth
66          d1=(1.D0-cfl*cfl)*oneSixth  
67    C-      the old version: can produce overflow, division by zero,
68    c       and is wrong for tracer with low concentration:
69    c       thetaP=Rjm/(1.D-20+Rj)
70    c       thetaM=Rjp/(1.D-20+Rj)
71    C-      the right expression, but not bounded:
72  c       thetaP=0.D0  c       thetaP=0.D0
 c       IF (Rj.NE.0.D0) thetaP=Rjm/Rj  
         thetaP=Rjm/(1.D-20+Rj)  
         psiP=d0+d1*thetaP  
         psiP=max(0.D0, min(min(1.D0,psiP),  
      &       (1.D0-cfl)/(1.D-20+cfl)*thetaP))  
         thetaM=Rjp/(1.D-20+Rj)  
73  c       thetaM=0.D0  c       thetaM=0.D0
74    c       IF (Rj.NE.0.D0) thetaP=Rjm/Rj
75  c       IF (Rj.NE.0.D0) thetaM=Rjp/Rj  c       IF (Rj.NE.0.D0) thetaM=Rjp/Rj
76    C-      prevent |thetaP,M| to reach too big value:
77            IF ( ABS(Rj)*thetaMax .LE. ABS(Rjm) ) THEN
78              thetaP=SIGN(thetaMax,Rjm*Rj)
79            ELSE
80              thetaP=Rjm/Rj
81            ENDIF
82            IF ( ABS(Rj)*thetaMax .LE. ABS(Rjp) ) THEN
83              thetaM=SIGN(thetaMax,Rjp*Rj)
84            ELSE
85              thetaM=Rjp/Rj
86            ENDIF
87    
88            psiP=d0+d1*thetaP
89            psiP=MAX(0. _d 0,MIN(MIN(1. _d 0,psiP),
90         &                       thetaP*(1. _d 0 -uCFL)/(uCFL+1. _d -20) ))
91          psiM=d0+d1*thetaM          psiM=d0+d1*thetaM
92          psiM=max(0.D0, min(min(1.D0,psiM),          psiM=MAX(0. _d 0,MIN(MIN(1. _d 0,psiM),
93       &       (1.D0-cfl)/(1.D-20+cfl)*thetaM))       &                       thetaM*(1. _d 0 -uCFL)/(uCFL+1. _d -20) ))
94    
95          uT(i,j)=          uT(i,j)=
96       &   0.5*(uTrans(i,j)+abs(uTrans(i,j)))       &   0.5*(uTrans(i,j)+ABS(uTrans(i,j)))
97       &      *( Tracer(i-1,j) + psiP*Rj )       &      *( Tracer(i-1,j) + psiP*Rj )
98       &  +0.5*(uTrans(i,j)-abs(uTrans(i,j)))       &  +0.5*(uTrans(i,j)-ABS(uTrans(i,j)))
99       &      *( Tracer( i ,j) - psiM*Rj )       &      *( Tracer( i ,j) - psiM*Rj )
100    
101         ENDDO         ENDDO
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