/[MITgcm]/MITgcm/pkg/mom_vecinv/mom_vi_u_coriolis_c4.F
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Revision 1.6 - (hide annotations) (download)
Sat Oct 1 19:17:17 2005 UTC (18 years, 8 months ago) by jmc
Branch: MAIN
CVS Tags: checkpoint58b_post, checkpoint57y_post, checkpoint58, checkpoint58f_post, checkpoint58d_post, checkpoint58a_post, checkpoint57z_post, checkpoint57t_post, checkpoint57v_post, checkpoint57y_pre, checkpoint58e_post, checkpint57u_post, checkpoint58g_post, checkpoint57w_post, checkpoint57x_post, checkpoint58c_post
Changes since 1.5: +5 -4 lines
add brackets in multi-terms sum to get same truncation, independent of
 the face number (manage to get exactly same value of gU,gV at the cs-edge)

1 jmc 1.6 C $Header: /u/gcmpack/MITgcm/pkg/mom_vecinv/mom_vi_u_coriolis_c4.F,v 1.5 2005/06/20 23:23:00 jmc Exp $
2 adcroft 1.3 C $Name: $
3 adcroft 1.2
4 adcroft 1.3 #include "MOM_VECINV_OPTIONS.h"
5 adcroft 1.2
6 jmc 1.5 CBOP
7     C !ROUTINE: MOM_VI_U_CORIOLIS_C4
8     C !INTERFACE:
9     SUBROUTINE MOM_VI_U_CORIOLIS_C4(
10     I bi,bj,k,
11 adcroft 1.2 I vFld,omega3,r_hFacZ,
12     O uCoriolisTerm,
13     I myThid)
14 jmc 1.5 C !DESCRIPTION: \bv
15     C *==========================================================*
16     C | S/R MOM_VI_U_CORIOLIS_C4
17     C |==========================================================*
18     C | o Calculate meridional flux of vorticity at U point
19     C | using 4th order interpolation
20     C *==========================================================*
21     C \ev
22    
23     C !USES:
24 adcroft 1.2 IMPLICIT NONE
25    
26     C == Global variables ==
27     #include "SIZE.h"
28     #include "EEPARAMS.h"
29     #include "GRID.h"
30     #include "PARAMS.h"
31    
32 jmc 1.5 C !INPUT/OUTPUT PARAMETERS:
33 adcroft 1.2 C == Routine arguments ==
34 jmc 1.5 INTEGER bi,bj,k
35 adcroft 1.2 _RL vFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
36     _RL omega3(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
37     _RS r_hFacZ(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
38     _RL uCoriolisTerm(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
39     INTEGER myThid
40 jmc 1.5 CEOP
41 adcroft 1.2
42     C == Local variables ==
43 jmc 1.5 INTEGER i,j
44 adcroft 1.2 _RL vBarXY,vort3u,Rjp,Rjm
45 jmc 1.5 _RL vBarXm,vBarXp,oneSixth
46 adcroft 1.2 LOGICAL upwindVort3
47     LOGICAL fourthVort3
48    
49 jmc 1.5 PARAMETER(oneSixth=1.D0/6.D0)
50     PARAMETER(upwindVort3=.FALSE.)
51     PARAMETER(fourthVort3=.TRUE. )
52    
53     c DO j=2-Oly,sNy+Oly-2
54     c DO i=2-Olx,sNx+Olx
55     DO j=1,sNy
56     DO i=1,sNx+1
57    
58     IF ( SadournyCoriolis ) THEN
59     C- using SadournyCoriolis discretization:
60    
61     vBarXY=1.
62     vBarXm=0.5*(
63     & vFld( i , j )*dxG( i , j ,bi,bj)*hFacS( i , j ,k,bi,bj)
64     & +vFld(i-1, j )*dxG(i-1, j ,bi,bj)*hFacS(i-1, j ,k,bi,bj) )
65     vBarXp=0.5*(
66     & vFld( i ,j+1)*dxG( i ,j+1,bi,bj)*hFacS( i ,j+1,k,bi,bj)
67     & +vFld(i-1,j+1)*dxG(i-1,j+1,bi,bj)*hFacS(i-1,j+1,k,bi,bj) )
68     IF (upwindVorticity) THEN
69     IF ( (vBarXm+vBarXp) .GT.0.) THEN
70     vort3u=vBarXm*r_hFacZ(i, j )*omega3(i, j )
71     ELSE
72     vort3u=vBarXp*r_hFacZ(i,j+1)*omega3(i,j+1)
73     ENDIF
74     ELSEIF (fourthVort3) THEN
75     Rjp = omega3(i,j+1)*r_hFacZ(i,j+1)
76     & -oneSixth*( omega3(i,j+2)*r_hFacZ(i,j+2)
77     & -omega3(i, j )*r_hFacZ(i, j ) )
78     Rjm = omega3(i,j)*r_hFacZ(i,j)
79     & +oneSixth*( omega3(i,j+1)*r_hFacZ(i,j+1)
80     & -omega3(i,j-1)*r_hFacZ(i,j-1) )
81     vort3u=0.5*( vBarXm*Rjm + vBarXp*Rjp )
82     ELSE
83     vort3u=0.5*( vBarXm*r_hFacZ(i, j )*omega3(i, j )
84     & + vBarXp*r_hFacZ(i,j+1)*omega3(i,j+1) )
85     ENDIF
86    
87     ELSE
88     C- not using SadournyCoriolis discretization:
89 adcroft 1.2
90     vBarXY=0.25*(
91 jmc 1.6 & (vFld( i , j )*dxG( i , j ,bi,bj)*hFacS( i , j ,k,bi,bj)
92     & +vFld(i-1, j )*dxG(i-1, j ,bi,bj)*hFacS(i-1, j ,k,bi,bj))
93     & +(vFld( i ,j+1)*dxG( i ,j+1,bi,bj)*hFacS( i ,j+1,k,bi,bj)
94 adcroft 1.2 & +vFld(i-1,j+1)*dxG(i-1,j+1,bi,bj)*hFacS(i-1,j+1,k,bi,bj))
95 jmc 1.6 & )
96 adcroft 1.2 IF (upwindVort3) THEN
97     IF (vBarXY.GT.0.) THEN
98 jmc 1.5 vort3u=omega3(i,j)*r_hFacZ(i,j)
99 adcroft 1.2 ELSE
100 jmc 1.5 vort3u=omega3(i,j+1)*r_hFacZ(i,j+1)
101 adcroft 1.2 ENDIF
102     ELSEIF (fourthVort3) THEN
103     Rjp=omega3(i,j+2)*r_hFacZ(i,j+2)
104     & -omega3(i,j+1)*r_hFacZ(i,j+1)
105     Rjm=omega3(i,j)*r_hFacZ(i,j)
106     & -omega3(i,j-1)*r_hFacZ(i,j-1)
107     vort3u=0.5*(omega3(i,j)*r_hFacZ(i,j)
108     & +omega3(i,j+1)*r_hFacZ(i,j+1)
109     & -1./12.*(Rjp-Rjm)
110     & )
111     ELSE
112     vort3u=0.5*(omega3(i,j)*r_hFacZ(i,j)
113     & +omega3(i,j+1)*r_hFacZ(i,j+1))
114     ENDIF
115 heimbach 1.4
116 jmc 1.5 C- end if / else SadournyCoriolis
117     ENDIF
118    
119     uCoriolisTerm(i,j)=
120     & vort3u*vBarXY*recip_dxC(i,j,bi,bj)
121     & * _maskW(i,j,k,bi,bj)
122 heimbach 1.4
123 adcroft 1.2 ENDDO
124 jmc 1.5 ENDDO
125 adcroft 1.2
126     RETURN
127     END

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