/[MITgcm]/MITgcm/pkg/generic_advdiff/gad_dst3_adv_x.F
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Contents of /MITgcm/pkg/generic_advdiff/gad_dst3_adv_x.F

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Revision 1.10 - (show annotations) (download)
Sun Oct 22 01:08:04 2006 UTC (17 years, 7 months ago) by jmc
Branch: MAIN
CVS Tags: checkpoint58r_post
Changes since 1.9: +41 -24 lines
use Samar's version as the default (instead of only if useMatrix=T)

1 C $Header: /u/gcmpack/MITgcm/pkg/generic_advdiff/gad_dst3_adv_x.F,v 1.9 2006/06/19 14:40:43 jmc Exp $
2 C $Name: $
3
4 #include "GAD_OPTIONS.h"
5
6 CBOP
7 C !ROUTINE: GAD_DST3_ADV_X
8
9 C !INTERFACE: ==========================================================
10 SUBROUTINE GAD_DST3_ADV_X(
11 I bi,bj,k,deltaTloc,
12 I uTrans, uFld,
13 I maskLocW, tracer,
14 O uT,
15 I myThid )
16
17 C !DESCRIPTION:
18 C Calculates the area integrated zonal flux due to advection of a
19 C tracer using 3rd-order Direct Space and Time (DST-3) Advection Scheme
20
21 C !USES: ===============================================================
22 IMPLICIT NONE
23
24 C == GLobal variables ==
25 #include "SIZE.h"
26 #include "GRID.h"
27 #include "EEPARAMS.h"
28 #include "PARAMS.h"
29 #include "GAD.h"
30
31 C == Routine arguments ==
32 C !INPUT PARAMETERS: ===================================================
33 C bi,bj :: tile indices
34 C k :: vertical level
35 C deltaTloc :: local time-step (s)
36 C uTrans :: zonal volume transport
37 C uFld :: zonal flow
38 C tracer :: tracer field
39 C myThid :: thread number
40 INTEGER bi,bj,k
41 _RL deltaTloc
42 _RL uTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
43 _RL uFld (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
44 _RS maskLocW(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
45 _RL tracer(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
46 INTEGER myThid
47
48 C !OUTPUT PARAMETERS: ==================================================
49 C uT :: zonal advective flux
50 _RL uT (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
51
52 C == Local variables ==
53 C !LOCAL VARIABLES: ====================================================
54 C i,j :: loop indices
55 C uLoc :: velocity [m/s], zonal component
56 C cfl :: Courant-Friedrich-Levy number
57 INTEGER i,j
58 _RL uLoc
59 _RL Rjm,Rj,Rjp,cfl,d0,d1
60 #ifdef OLD_DST3_FORMULATION
61 _RL psiP,psiM,thetaP,thetaM
62 _RL smallNo
63 c _RL Rjjm,Rjjp
64
65 IF (inAdMode) THEN
66 smallNo = 1.0D-20
67 ELSE
68 smallNo = 1.0D-20
69 ENDIF
70 #endif
71
72 DO j=1-Oly,sNy+Oly
73 uT(1-Olx,j)=0.
74 uT(2-Olx,j)=0.
75 uT(sNx+Olx,j)=0.
76 DO i=1-Olx+2,sNx+Olx-1
77 Rjp=(tracer(i+1,j)-tracer( i ,j))*maskLocW(i+1,j)
78 Rj =(tracer( i ,j)-tracer(i-1,j))*maskLocW( i ,j)
79 Rjm=(tracer(i-1,j)-tracer(i-2,j))*maskLocW(i-1,j)
80
81 uLoc = uFld(i,j)
82 c uLoc = uTrans(i,j)*recip_dyG(i,j,bi,bj)
83 c & *recip_drF(k)*_recip_hFacW(i,j,k,bi,bj)
84 cfl=ABS(uLoc*deltaTloc*recip_dxC(i,j,bi,bj))
85 d0=(2.-cfl)*(1.-cfl)*oneSixth
86 d1=(1.-cfl*cfl)*oneSixth
87 #ifdef OLD_DST3_FORMULATION
88 IF ( ABS(Rj).LT.smallNo .OR.
89 & ABS(Rjm).LT.smallNo ) THEN
90 thetaP=0.
91 psiP=0.
92 ELSE
93 thetaP=(Rjm+smallNo)/(smallNo+Rj)
94 psiP=d0+d1*thetaP
95 ENDIF
96 IF ( ABS(Rj).LT.smallNo .OR.
97 & ABS(Rjp).LT.smallNo ) THEN
98 thetaM=0.
99 psiM=0.
100 ELSE
101 thetaM=(Rjp+smallNo)/(smallNo+Rj)
102 psiM=d0+d1*thetaM
103 ENDIF
104 uT(i,j)=
105 & 0.5*(uTrans(i,j)+ABS(uTrans(i,j)))
106 & *( Tracer(i-1,j) + psiP*Rj )
107 & +0.5*(uTrans(i,j)-ABS(uTrans(i,j)))
108 & *( Tracer( i ,j) - psiM*Rj )
109 #else /* OLD_DST3_FORMULATION */
110 uT(i,j)=
111 & 0.5*(uTrans(i,j)+ABS(uTrans(i,j)))
112 & *( Tracer(i-1,j) + (d0*Rj+d1*Rjm) )
113 & +0.5*(uTrans(i,j)-ABS(uTrans(i,j)))
114 & *( Tracer( i ,j) - (d0*Rj+d1*Rjp) )
115 #endif /* OLD_DST3_FORMULATION */
116
117 ENDDO
118 ENDDO
119
120 RETURN
121 END

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