/[MITgcm]/MITgcm/pkg/generic_advdiff/gad_dst3fl_adv_x.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_X(
7     I bi,bj,k,deltaT,
8     I uTrans, uVel,
9     I tracer,
10     O uT,
11     I myThid )
12     C /==========================================================\
13     C | SUBROUTINE GAD_DST3FL_ADV_X |
14     C | o Compute Zonal 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 uTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
28     _RL uVel(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy)
29     _RL tracer(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
30     _RL uT (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 j=1-Oly,sNy+Oly
38     uT(1-Olx,j)=0.
39     uT(2-Olx,j)=0.
40     uT(sNx+Olx,j)=0.
41     DO i=1-Olx+2,sNx+Olx-1
42     Rjp=(tracer(i+1,j)-tracer(i,j))*maskW(i+1,j,k,bi,bj)
43     Rj =(tracer(i,j)-tracer(i-1,j))*maskW(i,j,k,bi,bj)
44     Rjm=(tracer(i-1,j)-tracer(i-2,j))*maskW(i-1,j,k,bi,bj)
45    
46     cfl=uVel(i,j,k,bi,bj)*deltaT*recip_dxc(i,j,bi,bj)
47     d0=(2.-abs(cfl))*(1.-abs(cfl))*oneSixth
48     d1=(1.-cfl)*(1.+cfl)*oneSixth
49     thetaP=Rjm/(1.D-30+Rj)
50     psiP=d0+d1*thetaP
51     psiP=max(0., min(min(1.,psiP),(1.-cfl)/cfl*thetaP) )
52     thetaM=Rjp/(-1.D-30+Rj)
53     psiM=d0+d1*thetaM
54     psiM=max(0., min(min(1.,psiM),(1.-cfl)/cfl*thetaM) )
55     uT(i,j)=
56     c & 0.5*(uTrans(i,j)+abs(uTrans(i,j)))
57     c & *( Tracer(i-1,j) + d0*Rj + d1*Rjm )
58     c & +0.5*(uTrans(i,j)-abs(uTrans(i,j)))
59     c & *( Tracer( i ,j) - d0*Rj + d1*Rjp )
60     & 0.5*(uTrans(i,j)+abs(uTrans(i,j)))
61     & *( Tracer(i-1,j) + psiP*Rj )
62     & +0.5*(uTrans(i,j)-abs(uTrans(i,j)))
63     & *( Tracer( i ,j) - psiM*Rj )
64    
65     ENDDO
66     ENDDO
67    
68     RETURN
69     END

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