/[MITgcm]/MITgcm/pkg/mom_fluxform/mom_uv_boundary.F
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Revision 1.1 - (hide annotations) (download)
Sun Oct 28 21:38:21 2007 UTC (16 years, 7 months ago) by jmc
Branch: MAIN
CVS Tags: checkpoint64y, checkpoint64x, checkpoint64z, checkpoint64q, checkpoint64p, checkpoint64s, checkpoint64r, checkpoint64u, checkpoint64t, checkpoint64w, checkpoint64v, checkpoint64i, checkpoint64h, checkpoint64k, checkpoint64j, checkpoint64m, checkpoint64l, checkpoint64o, checkpoint64n, checkpoint64a, checkpoint64c, checkpoint64b, checkpoint64e, checkpoint64d, checkpoint64g, checkpoint64f, checkpoint63p, checkpoint63q, checkpoint63r, checkpoint63s, checkpoint63l, checkpoint63m, checkpoint63n, checkpoint63o, checkpoint63h, checkpoint63i, checkpoint63j, checkpoint63k, checkpoint63d, checkpoint63e, checkpoint63f, checkpoint63g, checkpoint63a, checkpoint63b, checkpoint63c, checkpoint64, checkpoint65, checkpoint60, checkpoint61, checkpoint62, checkpoint63, checkpoint66g, checkpoint66f, checkpoint66e, checkpoint66d, checkpoint66c, checkpoint66b, checkpoint66a, checkpoint66o, checkpoint66n, checkpoint66m, checkpoint66l, checkpoint66k, checkpoint66j, checkpoint66i, checkpoint66h, checkpoint65z, checkpoint65x, checkpoint65y, checkpoint65r, checkpoint65s, checkpoint65p, checkpoint65q, checkpoint65v, checkpoint65w, checkpoint65t, checkpoint65u, checkpoint65j, checkpoint65k, checkpoint65h, checkpoint65i, checkpoint65n, checkpoint65o, checkpoint65l, checkpoint65m, checkpoint65b, checkpoint65c, checkpoint65a, checkpoint65f, checkpoint65g, checkpoint65d, checkpoint65e, checkpoint59q, checkpoint59p, checkpoint59r, checkpoint59m, checkpoint59l, checkpoint59o, checkpoint59n, checkpoint59k, checkpoint59j, checkpoint62c, checkpoint62b, checkpoint62a, checkpoint62g, checkpoint62f, checkpoint62e, checkpoint62d, checkpoint62k, checkpoint62j, checkpoint62i, checkpoint62h, checkpoint62o, checkpoint62n, checkpoint62m, checkpoint62l, checkpoint62s, checkpoint62r, checkpoint62q, checkpoint62p, checkpoint62w, checkpoint62v, checkpoint62u, checkpoint62t, checkpoint62z, checkpoint62y, checkpoint62x, checkpoint61f, checkpoint61g, checkpoint61d, checkpoint61e, checkpoint61b, checkpoint61c, checkpoint61a, checkpoint61n, checkpoint61o, checkpoint61l, checkpoint61m, checkpoint61j, checkpoint61k, checkpoint61h, checkpoint61i, checkpoint61v, checkpoint61w, checkpoint61t, checkpoint61u, checkpoint61r, checkpoint61s, checkpoint61p, checkpoint61q, checkpoint61z, checkpoint61x, checkpoint61y, HEAD 
Special version of momentum advection intended to conserve momentum
next to a bathymetry step or a coastline edge.
1 jmc 1.1 C $Header: $
2     C $Name: $
3    
4     #include "MOM_FLUXFORM_OPTIONS.h"
5    
6     CBOP
7     C !ROUTINE: MOM_UV_BOUNDARY
8    
9     C !INTERFACE: ==========================================================
10     SUBROUTINE MOM_UV_BOUNDARY (
11     I bi,bj,k,
12     I uFld, vFld,
13     O uBnd, vBnd,
14     I myTime, myIter, myThid )
15    
16     C !DESCRIPTION:
17     C Set velocity at a boundary for a momentum conserving advection
18     C Note: really conserve momentum when "steps" (vertical plane)
19     C or coastline (horizontal plane) are only 1 grid-point wide.
20    
21     C !USES: ===============================================================
22     C == Global variables ==
23     IMPLICIT NONE
24     #include "SIZE.h"
25     #include "EEPARAMS.h"
26     #include "PARAMS.h"
27     #include "GRID.h"
28    
29     C !INPUT PARAMETERS: ===================================================
30     C bi,bj :: tile indices
31     C k :: vertical level
32     C uFld :: zonal velocity
33     C vFld :: meridional velocity
34     C myTime :: current time
35     C myIter :: current iteration number
36     C myThid :: My Thread Id. number
37     INTEGER bi,bj
38     INTEGER k
39     _RL uFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy)
40     _RL vFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy)
41     _RL myTime
42     INTEGER myIter
43     INTEGER myThid
44    
45     C !OUTPUT PARAMETERS: ==================================================
46     C uBnd :: zonal velocity extended to boundaries
47     C vBnd :: meridional velocity extended to boundaries
48     _RL uBnd(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
49     _RL vBnd(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
50    
51     #ifdef MOM_BOUNDARY_CONSERVE
52     C !LOCAL VARIABLES: ====================================================
53     C i,j :: loop indices
54     INTEGER i,j
55     INTEGER km1,kp1
56     _RL maskM1, maskP1
57     _RL uTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
58     _RL vTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
59     _RL aBndU(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
60     _RL aBndV(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
61     _RL aBndW(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
62     _RL tmpVar
63     LOGICAL useMomBndConserve
64     PARAMETER ( useMomBndConserve = .TRUE. )
65     CEOP
66    
67     C Initialise output array
68     DO j=1-OLy,sNy+OLy
69     DO i=1-OLx,sNx+OLx
70     uBnd(i,j) = uFld(i,j,k,bi,bj)
71     vBnd(i,j) = vFld(i,j,k,bi,bj)
72     ENDDO
73     ENDDO
74    
75     IF ( useMomBndConserve ) THEN
76    
77     C- Initialise intermediate arrays:
78     km1 = MAX( k-1, 1 )
79     kp1 = MIN( k+1, Nr )
80     maskM1 = 1.
81     maskP1 = 1.
82     IF ( k.EQ.1 ) maskM1 = 0.
83     IF ( k.EQ.Nr ) maskP1 = 0.
84     DO j=1-OLy,sNy+OLy
85     DO i=1-OLx,sNx+OLx
86     aBndU(i,j) = 0.
87     aBndV(i,j) = 0.
88     aBndW(i,j) = 0.
89     ENDDO
90     ENDDO
91    
92     C- Calculate Divergence in 3 directions:
93     DO j=1-OLy,sNy+OLy
94     DO i=1-OLx,sNx+OLx
95     uTrans(i,j) = uFld(i,j,k,bi,bj)
96     & * dyG(i,j,bi,bj)*deepFacC(k)
97     & * drF(k)*hFacW(i,j,k,bi,bj)*rhoFacC(k)
98     vTrans(i,j) = vFld(i,j,k,bi,bj)
99     & * dxG(i,j,bi,bj)*deepFacC(k)
100     & * drF(k)*hFacS(i,j,k,bi,bj)*rhoFacC(k)
101     ENDDO
102     ENDDO
103     DO j=1-OLy,sNy+OLy-1
104     DO i=1-OLx,sNx+OLx-1
105     aBndU(i,j) = uTrans(i+1,j)-uTrans(i,j)
106     aBndV(i,j) = vTrans(i,j+1)-vTrans(i,j)
107     aBndW(i,j) = ABS(aBndU(i,j)+aBndV(i,j))
108     aBndU(i,j) = ABS(aBndU(i,j))
109     aBndV(i,j) = ABS(aBndV(i,j))
110     ENDDO
111     ENDDO
112     C- Normalise by the sum:
113     DO j=1-OLy,sNy+OLy-1
114     DO i=1-OLx,sNx+OLx-1
115     tmpVar = aBndU(i,j)+aBndV(i,j)+aBndW(i,j)
116     IF ( tmpVar.GT.0. ) THEN
117     tmpVar = 1. _d 0 / tmpVar
118     aBndU(i,j) = aBndU(i,j)*tmpVar
119     aBndV(i,j) = aBndV(i,j)*tmpVar
120     aBndW(i,j) = aBndW(i,j)*tmpVar
121     ENDIF
122     ENDDO
123     ENDDO
124    
125     C- At a boundary, replace uFld,vFld by a weighted average
126     C Note: multiply by 2 to cancel the 1/2 factor in advections S/R
127     DO j=1-OLy+1,sNy+OLy-1
128     DO i=1-OLx+1,sNx+OLx-1
129     IF (maskW(i,j,k,bi,bj).EQ.0.) THEN
130     C Note: only 1 set of aBnd_U,V,W is non-zero (either i-1 or i)
131     C and only 1 uFld is non-zero (either i-1 or i+1)
132     C and only 1 uFld is non-zero (either k-1 or k+1)
133     uBnd(i,j) = (
134     & (aBndU(i-1,j)+aBndU(i,j))
135     & *(uFld(i-1,j,k,bi,bj)+uFld(i+1,j,k,bi,bj))
136     & +(aBndV(i-1,j)+aBndV(i,j))
137     & *(uFld(i,j-1,k,bi,bj)+uFld(i,j+1,k,bi,bj))
138     & +(aBndW(i-1,j)+aBndW(i,j))
139     & *(uFld(i,j,km1,bi,bj)*maskM1
140     & +uFld(i,j,kp1,bi,bj)*maskP1)
141     & )*2. _d 0
142     ENDIF
143     IF (maskS(i,j,k,bi,bj).EQ.0.) THEN
144     C Note: only 1 set of aBnd_U,V,W is non-zero (either j-1 or j)
145     C and only 1 vFld is non-zero (either j-1 or j+1)
146     C and only 1 vFld is non-zero (either k-1 or k+1)
147     vBnd(i,j) = (
148     & (aBndU(i,j-1)+aBndU(i,j))
149     & *(vFld(i-1,j,k,bi,bj)+vFld(i+1,j,k,bi,bj))
150     & +(aBndV(i,j-1)+aBndV(i,j))
151     & *(vFld(i,j-1,k,bi,bj)+vFld(i,j+1,k,bi,bj))
152     & +(aBndW(i,j-1)+aBndW(i,j))
153     & *(vFld(i,j,km1,bi,bj)*maskM1
154     & +vFld(i,j,kp1,bi,bj)*maskP1)
155     & )*2. _d 0
156     ENDIF
157     ENDDO
158     ENDDO
159     ENDIF
160     #endif /* MOM_BOUNDARY_CONSERVE */
161    
162     RETURN
163     END
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