/[MITgcm]/MITgcm/pkg/generic_advdiff/gad_c4_adv_r.F
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Revision 1.3 - (hide annotations) (download)
Mon Aug 20 20:45:15 2001 UTC (22 years, 9 months ago) by jmc
Branch: MAIN
CVS Tags: checkpoint40pre9, checkpoint40pre8, checkpoint40
Changes since 1.2: +46 -9 lines
Reduce to 2nd or 3rd order near a boundary, depending on the flow direction

1 jmc 1.3 C $Header: /u/gcmpack/models/MITgcmUV/pkg/generic_advdiff/gad_c4_adv_r.F,v 1.2 2001/07/12 00:30:27 jmc Exp $
2 jmc 1.2 C $Name: $
3 adcroft 1.1
4     #include "GAD_OPTIONS.h"
5    
6     SUBROUTINE GAD_C4_ADV_R(
7     I bi,bj,k,
8     I rTrans,
9     I tracer,
10     O wT,
11     I myThid )
12 jmc 1.2 C /==========================================================\
13     C | SUBROUTINE GAD_C4_ADV_R |
14     C | o Compute vertical advective Flux of Tracer using |
15     C | 4th Order Centered Scheme |
16 jmc 1.3 C | o reduced to 2nd or 3rd Order near a boundary |
17 jmc 1.2 C |==========================================================|
18 adcroft 1.1 IMPLICIT NONE
19    
20     C == GLobal variables ==
21     #include "SIZE.h"
22     #include "GRID.h"
23     #include "GAD.h"
24    
25     C == Routine arguments ==
26     INTEGER bi,bj,k
27     _RL rTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
28     _RL tracer(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy)
29     _RL wT (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
30     INTEGER myThid
31    
32     C == Local variables ==
33     INTEGER i,j,kp1,km1,km2
34 jmc 1.3 _RL Rjm,Rj,Rjp,Rjjm,Rjjp
35     _RL maskP1
36 adcroft 1.1
37     km2=MAX(1,k-2)
38     km1=MAX(1,k-1)
39     kp1=MIN(Nr,k+1)
40 jmc 1.3 maskP1 = 1.
41     IF (k.GE.Nr) maskP1 = 0.
42 adcroft 1.1
43 jmc 1.2 IF ( k.EQ.1 .OR. k.GT.Nr) THEN
44 adcroft 1.1 DO j=1-Oly,sNy+Oly
45     DO i=1-Olx,sNx+Olx
46     wT(i,j) = 0.
47     ENDDO
48     ENDDO
49 jmc 1.3 ELSEIF ( k.EQ.2 ) THEN
50     Rjjm= 0.
51     DO j=1-Oly,sNy+Oly
52     DO i=1-Olx,sNx+Olx
53     Rjp=(tracer(i,j,kp1,bi,bj)-tracer(i,j,k,bi,bj))
54     Rj =(tracer(i,j,k,bi,bj)-tracer(i,j,km1,bi,bj))
55     Rjjp=(Rjp-Rj)*maskC(i,j,kp1,bi,bj)*maskP1
56     wT(i,j) = maskC(i,j,km1,bi,bj)*(
57     & rTrans(i,j)*(
58     & (Tracer(i,j,k,bi,bj)+Tracer(i,j,km1,bi,bj))*0.5 _d 0
59     & -oneSixth*(Rjjm+Rjjp)*0.5 _d 0 )
60     & +ABS(rTrans(i,j))*
61     & oneSixth*(Rjjm-Rjjp)*0.5 _d 0
62     & )
63     ENDDO
64     ENDDO
65     ELSEIF ( k.EQ.Nr ) THEN
66     Rjjp= 0.
67     DO j=1-Oly,sNy+Oly
68     DO i=1-Olx,sNx+Olx
69     Rj =(tracer(i,j,k,bi,bj)-tracer(i,j,km1,bi,bj))
70     Rjm=(tracer(i,j,km1,bi,bj)-tracer(i,j,km2,bi,bj))
71     Rjjm=(Rj-Rjm)*maskC(i,j,km2,bi,bj)
72     wT(i,j) = maskC(i,j,km1,bi,bj)*(
73     & rTrans(i,j)*(
74     & (Tracer(i,j,k,bi,bj)+Tracer(i,j,km1,bi,bj))*0.5 _d 0
75     & -oneSixth*(Rjjm+Rjjp)*0.5 _d 0 )
76     & +ABS(rTrans(i,j))*
77     & oneSixth*(Rjjm-Rjjp)*0.5 _d 0
78     & )
79     ENDDO
80     ENDDO
81 adcroft 1.1 ELSE
82     DO j=1-Oly,sNy+Oly
83     DO i=1-Olx,sNx+Olx
84     Rjp=(tracer(i,j,kp1,bi,bj)-tracer(i,j,k,bi,bj))
85 jmc 1.2 Rj =(tracer(i,j,k,bi,bj)-tracer(i,j,km1,bi,bj))
86     Rjm=(tracer(i,j,km1,bi,bj)-tracer(i,j,km2,bi,bj))
87 jmc 1.3 Rjjp=(Rjp-Rj)*maskC(i,j,kp1,bi,bj)
88     Rjjm=(Rj-Rjm)*maskC(i,j,km2,bi,bj)
89     wT(i,j) = maskC(i,j,km1,bi,bj)*(
90 adcroft 1.1 & rTrans(i,j)*(
91 jmc 1.3 & (Tracer(i,j,k,bi,bj)+Tracer(i,j,km1,bi,bj))*0.5 _d 0
92 jmc 1.2 & -oneSixth*(Rjjm+Rjjp)*0.5 _d 0 )
93 jmc 1.3 & +ABS(rTrans(i,j))*
94     & oneSixth*(Rjjm-Rjjp)*0.5 _d 0
95     & *( 1. _d 0 - maskC(i,j,km2,bi,bj)*maskC(i,j,kp1,bi,bj) )
96     & )
97 adcroft 1.1 ENDDO
98     ENDDO
99     ENDIF
100    
101     RETURN
102     END

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