/[MITgcm]/MITgcm/pkg/generic_advdiff/gad_dst3fl_adv_y.F
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Revision 1.1 - (hide annotations) (download)
Tue Sep 4 14:53:11 2001 UTC (22 years, 8 months ago) by adcroft
Branch: MAIN
Added two more methods *BUT* only in (x,y)!
 o DST-3 is 3rd order direct space time method
 o DST-3FL is flux limited 3rd order direct space time method
 o r-direction to come. Place holders commented out in gad_calc_rhs.F
   A stop statement will catch it if you try to use it. Either use with Nr=1
   or write the code. :)

1 adcroft 1.1 C $Header: $
2     C $Name: $
3    
4     #include "GAD_OPTIONS.h"
5    
6     SUBROUTINE GAD_DST3FL_ADV_Y(
7     I bi,bj,k,deltaT,
8     I vTrans, vVel,
9     I tracer,
10     O vT,
11     I myThid )
12     C /==========================================================\
13     C | SUBROUTINE GAD_DST3FL_ADV_Y |
14     C | o Compute Meridional advective Flux of Tracer using |
15     C | 3rd Order DST Sceheme with flux limiting |
16     C |==========================================================|
17     IMPLICIT NONE
18    
19     C == GLobal variables ==
20     #include "SIZE.h"
21     #include "GRID.h"
22     #include "GAD.h"
23    
24     C == Routine arguments ==
25     INTEGER bi,bj,k
26     _RL deltaT
27     _RL vTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
28     _RL vVel(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy)
29     _RL tracer(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
30     _RL vT (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
31     INTEGER myThid
32    
33     C == Local variables ==
34     INTEGER i,j
35     _RL Rjm,Rj,Rjp,cfl,d0,d1,psiP,thetaP,psiM,thetaM
36    
37     DO i=1-Olx,sNx+Olx
38     vT(i,1-Olx)=0.
39     vT(i,2-Olx)=0.
40     vT(i,sNx+Olx)=0.
41     ENDDO
42     DO j=1-Oly+2,sNy+Oly-1
43     DO i=1-Olx,sNx+Olx
44     Rjp=(tracer(i,j+1)-tracer(i,j))*maskS(i,j+1,k,bi,bj)
45     Rj =(tracer(i,j)-tracer(i,j-1))*maskS(i,j,k,bi,bj)
46     Rjm=(tracer(i,j-1)-tracer(i,j-2))*maskS(i,j-1,k,bi,bj)
47    
48     cfl=vVel(i,j,k,bi,bj)*deltaT*recip_dyc(i,j,bi,bj)
49     d0=(2.-abs(cfl))*(1.-abs(cfl))*oneSixth
50     d1=(1.-cfl)*(1.+cfl)*oneSixth
51     thetaP=Rjm/(1.D-30+Rj)
52     psiP=d0+d1*thetaP
53     psiP=max(0., min(min(1.,psiP),(1.-cfl)/cfl*thetaP) )
54     thetaM=Rjp/(-1.D-30+Rj)
55     psiM=d0+d1*thetaM
56     psiM=max(0., min(min(1.,psiM),(1.-cfl)/cfl*thetaM) )
57     vT(i,j)=
58     c & 0.5*(vTrans(i,j)+abs(vTrans(i,j)))
59     c & *( Tracer(i,j-1) + d0*Rj + d1*Rjm )
60     c & +0.5*(vTrans(i,j)-abs(vTrans(i,j)))
61     c & *( Tracer(i, j ) - d0*Rj + d1*Rjp )
62     & 0.5*(vTrans(i,j)+abs(vTrans(i,j)))
63     & *( Tracer(i,j-1) + psiP*Rj )
64     & +0.5*(vTrans(i,j)-abs(vTrans(i,j)))
65     & *( Tracer(i, j ) - psiM*Rj )
66    
67     ENDDO
68     ENDDO
69    
70     RETURN
71     END

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