/[MITgcm]/MITgcm/pkg/generic_advdiff/gad_dst3_adv_y.F
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Revision 1.5 - (show annotations) (download)
Sun Apr 3 16:05:34 2005 UTC (19 years, 1 month ago) by heimbach
Branch: MAIN
CVS Tags: checkpoint57m_post, checkpoint57g_pre, checkpoint57s_post, checkpoint57g_post, checkpoint57r_post, checkpoint57i_post, checkpoint57n_post, checkpoint57l_post, checkpoint57t_post, checkpoint57v_post, checkpoint57f_post, checkpoint57h_pre, checkpoint57h_post, checkpoint57p_post, checkpint57u_post, checkpoint57q_post, checkpoint57h_done, checkpoint57j_post, checkpoint57f_pre, checkpoint57o_post, checkpoint57k_post
Changes since 1.4: +30 -14 lines
Modifications to make DST3(=30) adjointable
(seems to work at 1/4 deg. for at least 1200 timesteps).

1 C $Header: /u/gcmpack/MITgcm/pkg/generic_advdiff/gad_dst3_adv_y.F,v 1.4 2004/09/24 16:53:46 jmc Exp $
2 C $Name: $
3
4 #include "GAD_OPTIONS.h"
5
6 SUBROUTINE GAD_DST3_ADV_Y(
7 I bi,bj,k,deltaTloc,
8 I vTrans, vVel,
9 I maskLocS, tracer,
10 O vT,
11 I myThid )
12 C /==========================================================\
13 C | SUBROUTINE GAD_DST3_ADV_Y |
14 C | o Compute Meridional advective Flux of Tracer using |
15 C | 3rd Order DST Sceheme |
16 C |==========================================================|
17 IMPLICIT NONE
18
19 C == GLobal variables ==
20 #include "SIZE.h"
21 #include "GRID.h"
22 #include "EEPARAMS.h"
23 #include "PARAMS.h"
24 #include "GAD.h"
25
26 C == Routine arguments ==
27 INTEGER bi,bj,k
28 _RL deltaTloc
29 _RL vTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
30 _RL vVel(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy)
31 _RS maskLocS(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
32 _RL tracer(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
33 _RL vT (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
34 INTEGER myThid
35
36 C == Local variables ==
37 C vFld :: velocity [m/s], meridional component
38 INTEGER i,j
39 _RL Rjm,Rj,Rjp,cfl,d0,d1
40 _RL psiP,psiM,thetaP,thetaM
41 _RL vFld
42 _RL smallNo
43 _RL Rjjm,Rjjp
44
45 IF (inAdMode) THEN
46 smallNo = 1.0D-20
47 ELSE
48 smallNo = 1.0D-20
49 ENDIF
50
51 DO i=1-Olx,sNx+Olx
52 vT(i,1-Oly)=0.
53 vT(i,2-Oly)=0.
54 vT(i,sNy+Oly)=0.
55 ENDDO
56 DO j=1-Oly+2,sNy+Oly-1
57 DO i=1-Olx,sNx+Olx
58 Rjp=(tracer(i,j+1)-tracer(i, j ))*maskLocS(i,j+1)
59 Rj =(tracer(i, j )-tracer(i,j-1))*maskLocS(i, j )
60 Rjm=(tracer(i,j-1)-tracer(i,j-2))*maskLocS(i,j-1)
61
62 c vFld = vVel(i,j,k,bi,bj)
63 vFld = vTrans(i,j)*recip_dxG(i,j,bi,bj)
64 & *recip_drF(k)*recip_hFacS(i,j,k,bi,bj)
65 cfl=abs(vFld*deltaTloc*recip_dyC(i,j,bi,bj))
66 d0=(2.-cfl)*(1.-cfl)*oneSixth
67 d1=(1.-cfl*cfl)*oneSixth
68 IF ( ABS(Rj).LT.smallNo .OR.
69 & ABS(Rjm).LT.smallNo ) THEN
70 thetaP=0.
71 psiP=0.
72 ELSE
73 thetaP=(Rjm+smallNo)/(smallNo+Rj)
74 psiP=d0+d1*thetaP
75 ENDIF
76 IF ( ABS(Rj).LT.smallNo .OR.
77 & ABS(Rjp).LT.smallNo ) THEN
78 thetaM=0.
79 psiM=0.
80 ELSE
81 thetaM=(Rjp+smallNo)/(smallNo+Rj)
82 psiM=d0+d1*thetaM
83 ENDIF
84 vT(i,j)=
85 & 0.5*(vTrans(i,j)+abs(vTrans(i,j)))
86 & *( Tracer(i,j-1) + psiP*Rj )
87 & +0.5*(vTrans(i,j)-abs(vTrans(i,j)))
88 & *( Tracer(i, j ) - psiM*Rj )
89
90 ENDDO
91 ENDDO
92
93 RETURN
94 END

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