/[MITgcm]/MITgcm/verification/aim.5l_cs/code/mom_vi_coriolis.F
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Revision 1.1 - (show annotations) (download)
Wed Jan 9 00:28:56 2002 UTC (22 years, 4 months ago) by jmc
Branch: MAIN
CVS Tags: checkpoint46n_post, checkpoint44e_post, checkpoint47j_post, checkpoint48d_pre, checkpoint44b_post, branch-exfmods-tag, checkpoint47e_post, checkpoint43a-release1mods, checkpoint47i_post, checkpoint46l_post, checkpoint47f_post, checkpoint47c_post, checkpoint50e_post, checkpoint50c_post, checkpoint46i_post, checkpoint47d_post, checkpoint47a_post, checkpoint46f_post, checkpoint46d_pre, checkpoint48e_post, checkpoint46e_post, checkpoint48d_post, checkpoint50g_post, release1-branch_tutorials, checkpoint46c_post, checkpoint50b_pre, checkpoint46e_pre, checkpoint48f_post, checkpoint45d_post, checkpoint46j_pre, checkpoint45b_post, checkpoint44g_post, checkpoint48c_post, chkpt44a_pre, release1-branch-end, release1_final_v1, checkpoint51b_post, checkpoint44b_pre, checkpoint46c_pre, checkpoint46, checkpoint47, checkpoint44, checkpoint45, checkpoint48, checkpoint49, checkpoint44f_post, checkpoint47b_post, checkpoint48i_post, checkpoint46h_post, checkpoint46l_pre, checkpoint44h_pre, checkpoint48h_post, checkpoint50d_pre, chkpt44d_post, checkpoint46h_pre, checkpoint51, checkpoint50, checkpoint47h_post, checkpoint50d_post, checkpoint46g_pre, checkpoint51b_pre, checkpoint46a_post, checkpoint47g_post, chkpt44a_post, chkpt44c_post, checkpoint46m_post, checkpoint46j_post, checkpoint44f_pre, checkpoint46a_pre, checkpoint50c_pre, checkpoint45c_post, checkpoint46k_post, checkpoint44e_pre, checkpoint46b_pre, checkpoint46b_post, checkpoint44h_post, checkpoint46d_post, checkpoint48b_post, checkpoint50b_post, checkpoint46g_post, checkpoint51c_post, checkpoint45a_post, checkpoint50f_post, checkpoint50a_post, checkpoint50f_pre, checkpoint51d_post, checkpoint48c_pre, release1-branch_branchpoint, checkpoint47d_pre, checkpoint51a_post, checkpoint50e_pre, checkpoint50i_post, checkpoint48g_post, chkpt44c_pre, checkpoint48a_post
Branch point for: release1, release1_final, release1-branch, branch-exfmods-curt
modified momentum_VI and Shapiro S/R :
 enable AIM to run on Cube Sphere with partial cell.

1 C $Header: /u/gcmpack/models/MITgcmUV/pkg/mom_vecinv/mom_vi_coriolis.F,v 1.3 2001/09/05 17:46:03 heimbach Exp $
2 C $Name: $
3
4 #include "CPP_OPTIONS.h"
5
6 SUBROUTINE MOM_VI_CORIOLIS(
7 I bi,bj,K,
8 I uFld,vFld,omega3,hFacZ,r_hFacZ,
9 O uCoriolisTerm,vCoriolisTerm,
10 I myThid)
11 IMPLICIT NONE
12 C /==========================================================\
13 C | S/R VORTICITY_X_V |
14 C |==========================================================|
15 C \==========================================================/
16
17 C == Global variables ==
18 #include "SIZE.h"
19 #include "EEPARAMS.h"
20 #include "GRID.h"
21 #include "PARAMS.h"
22
23 C == Routine arguments ==
24 INTEGER bi,bj,K
25 _RL uFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
26 _RL vFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
27 _RL omega3(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
28 _RS hFacZ(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
29 _RS r_hFacZ(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
30 _RL uCoriolisTerm(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
31 _RL vCoriolisTerm(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
32 INTEGER myThid
33
34 C == Local variables ==
35 INTEGER I,J
36 _RL vBarXY,uBarXY,vort3u,vort3v
37 _RS epsil
38 epsil = 1. _d -9
39
40 IF (useJamartWetPoints) THEN
41 C- Partial-cell generalization of the Wet-point average method :
42 DO J=1-Oly,sNy+Oly-1
43 DO I=2-Olx,sNx+Olx
44 c vBarXY=0.25*(vFld( i ,j)+vFld( i ,j+1)
45 c & +vFld(i-1,j)+vFld(i-1,j+1))
46 vBarXY=(
47 & vFld( i , j )*dxG( i , j ,bi,bj)*hFacS( i , j ,k,bi,bj)
48 & +vFld( i ,j+1)*dxG( i ,j+1,bi,bj)*hFacS( i ,j+1,k,bi,bj)
49 & +vFld(i-1, j )*dxG(i-1, j ,bi,bj)*hFacS(i-1, j ,k,bi,bj)
50 & +vFld(i-1,j+1)*dxG(i-1,j+1,bi,bj)*hFacS(i-1,j+1,k,bi,bj) )
51 & / MAX( epsil, hFacS( i , j ,k,bi,bj)+hFacS(i-1, j ,k,bi,bj)
52 & +hFacS( i ,j+1,k,bi,bj)+hFacS(i-1,j+1,k,bi,bj) )
53 uCoriolisTerm(i,j)=
54 & +0.5*( fCoriG(i,j,bi,bj)+fCoriG(i,j+1,bi,bj)
55 & )*vBarXY*recip_dxC(i,j,bi,bj)*_maskW(I,J,K,bi,bj)
56 C original version:
57 c vort3u=0.5*(omega3(i,j)+omega3(i,j+1))
58 c vort3u=0.5*(omega3(i,j)*r_hFacZ(i,j)
59 c & +omega3(i,j+1)*r_hFacZ(i,j+1))
60 c uCoriolisTerm(i,j)=
61 c & +0.5*( fCoriG(i,j,bi,bj)*r_hFacZ(i,j)
62 c & +fCoriG(i,j+1,bi,bj)*r_hFacZ(i,j+1)
63 c & )*vBarXY*recip_dxC(i,j,bi,bj)*_maskW(I,J,K,bi,bj)
64 cph *note* put these comments after end of continued line
65 cph to ensure TAMC compatibility
66 C high order vorticity advection term
67 c & +vort3u*vBarXY*recip_dxc(i,j,bi,bj)
68 C linear Coriolis term (enstrophy conserving)
69 c & ...
70 C full nonlinear Coriolis term
71 c & +0.5*(omega3(i,j)+omega3(i,j+1))*vBarXY
72 C correct energy conserving form of Coriolis term
73 c & +0.25*( fCori( i ,j,bi,bj)*(vFld( i ,j)+vFld( i ,j+1)) +
74 c & fCori(i-1,j,bi,bj)*(vFld(i-1,j)+vFld(i-1,j+1)) )
75 C original form of Coriolis term (copied from calc_mom_rhs)
76 c & +0.5*(fCori(i,j,bi,bj)+fCori(i-1,j,bi,bj))*vBarXY
77 ENDDO
78 ENDDO
79 ELSE
80 C- Simple average, no hFac :
81 DO J=1-Oly,sNy+Oly-1
82 DO I=2-Olx,sNx+Olx
83 vBarXY=0.25*(
84 & vFld( i , j )*dxG( i , j ,bi,bj)
85 & +vFld( i ,j+1)*dxG( i ,j+1,bi,bj)
86 & +vFld(i-1, j )*dxG(i-1, j ,bi,bj)
87 & +vFld(i-1,j+1)*dxG(i-1,j+1,bi,bj) )
88 uCoriolisTerm(i,j)=
89 & +0.5*( fCoriG(i,j,bi,bj)+fCoriG(i,j+1,bi,bj)
90 & )*vBarXY*recip_dxC(i,j,bi,bj)*_maskW(I,J,K,bi,bj)
91 ENDDO
92 ENDDO
93 ENDIF
94
95 IF (useJamartWetPoints) THEN
96 C- Partial-cell generalization of the Wet-point average method :
97 DO J=2-Oly,sNy+Oly
98 DO I=1-Olx,sNx+Olx-1
99 c uBarXY=0.25*( uFld(i, j )+uFld(i+1, j )
100 c & +uFld(i,j-1)+uFld(i+1,j-1))
101 uBarXY=(
102 & uFld( i , j )*dyG( i , j ,bi,bj)*hFacW( i , j ,k,bi,bj)
103 & +uFld( i ,j-1)*dyG( i ,j-1,bi,bj)*hFacW( i ,j-1,k,bi,bj)
104 & +uFld(i+1, j )*dyG(i+1, j ,bi,bj)*hFacW(i+1, j ,k,bi,bj)
105 & +uFld(i+1,j-1)*dyG(i+1,j-1,bi,bj)*hFacW(i+1,j-1,k,bi,bj) )
106 & / MAX( epsil, hFacW( i , j ,k,bi,bj)+hFacW( i ,j-1,k,bi,bj)
107 & +hFacW(i+1, j ,k,bi,bj)+hFacW(i+1,j-1,k,bi,bj) )
108 vCoriolisTerm(i,j)=
109 & -0.5*( fCoriG(i,j,bi,bj)+fCoriG(i+1,j,bi,bj)
110 & )*uBarXY*recip_dyC(i,j,bi,bj)*_maskS(I,J,K,bi,bj)
111 C original version:
112 c vort3v=0.5*(omega3(i,j)+omega3(i+1,j))
113 c vort3v=0.5*(omega3(i,j)*r_hFacZ(i,j)
114 c & +omega3(i+1,j)*r_hFacZ(i+1,j))
115 c vCoriolisTerm(i,j)=
116 c & -0.5*( fCoriG(i,j,bi,bj)*r_hFacZ(i,j)
117 c & +fCoriG(i+1,j,bi,bj)*r_hFacZ(i+1,j)
118 c & )*uBarXY*recip_dyC(i,j,bi,bj)*_maskS(I,J,K,bi,bj)
119 cph *note* put these comments after end of continued line
120 cph to ensure TAMC compatibility
121 C high order vorticity advection term
122 c & -vort3v*uBarXY*recip_dyc(i,j,bi,bj)
123 C linear Coriolis term (enstrophy conserving)
124 c & ...
125 C full nonlinear Coriolis term
126 c & -0.5*(omega3(i,j)+omega3(i+1,j))*uBarXY
127 C correct energy conserving form of Coriolis term
128 c & -0.25*( fCori(i,j ,bi,bj)*(uFld(i, j )+uFld(i+1,j)) +
129 c & fCori(i,j-1,bi,bj)*(uFld(i,j-1)+uFld(i+1,j)) )
130 C original form of Coriolis term (copied from calc_mom_rhs)
131 c & -0.5*(fCori(i,j,bi,bj)+fCori(i,j-1,bi,bj))*uBarXY
132 ENDDO
133 ENDDO
134 ELSE
135 C- Simple average, no hFac :
136 DO J=2-Oly,sNy+Oly
137 DO I=1-Olx,sNx+Olx-1
138 uBarXY=0.25*(
139 & uFld( i , j )*dyG( i , j ,bi,bj)
140 & +uFld( i ,j-1)*dyG( i ,j-1,bi,bj)
141 & +uFld(i+1, j )*dyG(i+1, j ,bi,bj)
142 & +uFld(i+1,j-1)*dyG(i+1,j-1,bi,bj) )
143 vCoriolisTerm(i,j)=
144 & -0.5*( fCoriG(i,j,bi,bj)+fCoriG(i+1,j,bi,bj)
145 & )*uBarXY*recip_dyC(i,j,bi,bj)*_maskS(I,J,K,bi,bj)
146 ENDDO
147 ENDDO
148 ENDIF
149
150 RETURN
151 END

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