1 |
jmc |
1.24 |
C $Header: /u/gcmpack/MITgcm/model/src/calc_gw.F,v 1.23 2005/12/13 23:16:52 jmc Exp $ |
2 |
cnh |
1.9 |
C !DESCRIPTION: \bv |
3 |
jmc |
1.7 |
C $Name: $ |
4 |
edhill |
1.10 |
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5 |
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#include "PACKAGES_CONFIG.h" |
6 |
adcroft |
1.1 |
#include "CPP_OPTIONS.h" |
7 |
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8 |
cnh |
1.9 |
CBOP |
9 |
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C !ROUTINE: CALC_GW |
10 |
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C !INTERFACE: |
11 |
adcroft |
1.1 |
SUBROUTINE CALC_GW( |
12 |
jmc |
1.20 |
I myTime, myIter, myThid ) |
13 |
cnh |
1.9 |
C !DESCRIPTION: \bv |
14 |
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C *==========================================================* |
15 |
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C | S/R CALC_GW |
16 |
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C | o Calculate vert. velocity tendency terms ( NH, QH only ) |
17 |
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C *==========================================================* |
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C | In NH and QH, the vertical momentum tendency must be |
19 |
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C | calculated explicitly and included as a source term |
20 |
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C | for a 3d pressure eqn. Calculate that term here. |
21 |
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C | This routine is not used in HYD calculations. |
22 |
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C *==========================================================* |
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C \ev |
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25 |
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C !USES: |
26 |
adcroft |
1.1 |
IMPLICIT NONE |
27 |
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C == Global variables == |
28 |
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#include "SIZE.h" |
29 |
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#include "EEPARAMS.h" |
30 |
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#include "PARAMS.h" |
31 |
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#include "GRID.h" |
32 |
jmc |
1.22 |
#include "DYNVARS.h" |
33 |
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#include "NH_VARS.h" |
34 |
adcroft |
1.1 |
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35 |
cnh |
1.9 |
C !INPUT/OUTPUT PARAMETERS: |
36 |
adcroft |
1.1 |
C == Routine arguments == |
37 |
jmc |
1.20 |
C myTime :: Current time in simulation |
38 |
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C myIter :: Current iteration number in simulation |
39 |
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C myThid :: Thread number for this instance of the routine. |
40 |
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_RL myTime |
41 |
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INTEGER myIter |
42 |
adcroft |
1.1 |
INTEGER myThid |
43 |
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44 |
adcroft |
1.3 |
#ifdef ALLOW_NONHYDROSTATIC |
45 |
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46 |
cnh |
1.9 |
C !LOCAL VARIABLES: |
47 |
adcroft |
1.1 |
C == Local variables == |
48 |
cnh |
1.9 |
C bi, bj, :: Loop counters |
49 |
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C iMin, iMax, |
50 |
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C jMin, jMax |
51 |
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C flx_NS :: Temp. used for fVol meridional terms. |
52 |
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C flx_EW :: Temp. used for fVol zonal terms. |
53 |
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C flx_Up :: Temp. used for fVol vertical terms. |
54 |
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C flx_Dn :: Temp. used for fVol vertical terms. |
55 |
adcroft |
1.1 |
INTEGER bi,bj,iMin,iMax,jMin,jMax |
56 |
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_RL flx_NS(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
57 |
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_RL flx_EW(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
58 |
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_RL flx_Dn(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
59 |
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_RL flx_Up(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
60 |
mlosch |
1.18 |
_RL fZon(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
61 |
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_RL fMer(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
62 |
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_RL del2w(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
63 |
jmc |
1.21 |
C i,j,k - Loop counters |
64 |
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INTEGER i,j,k, kP1 |
65 |
adcroft |
1.1 |
_RL wOverride |
66 |
mlosch |
1.15 |
_RS hFacWtmp |
67 |
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_RS hFacStmp |
68 |
mlosch |
1.18 |
_RS hFacCtmp |
69 |
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_RS recip_hFacCtmp |
70 |
adcroft |
1.1 |
_RL ab15,ab05 |
71 |
jmc |
1.12 |
_RL slipSideFac |
72 |
adcroft |
1.1 |
_RL tmp_VbarZ, tmp_UbarZ, tmp_WbarZ |
73 |
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74 |
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_RL Half |
75 |
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PARAMETER(Half=0.5D0) |
76 |
cnh |
1.9 |
CEOP |
77 |
edhill |
1.10 |
|
78 |
mlosch |
1.14 |
iMin = 1 |
79 |
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iMax = sNx |
80 |
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jMin = 1 |
81 |
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jMax = sNy |
82 |
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83 |
adcroft |
1.1 |
C Adams-Bashforth timestepping weights |
84 |
jmc |
1.23 |
IF (myIter .EQ. 0) THEN |
85 |
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ab15 = 1.0 _d 0 |
86 |
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ab05 = 0.0 _d 0 |
87 |
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ELSE |
88 |
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ab15 = 1.5 _d 0 + abeps |
89 |
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ab05 = -0.5 _d 0 - abeps |
90 |
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ENDIF |
91 |
jmc |
1.11 |
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92 |
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C Lateral friction (no-slip, free slip, or half slip): |
93 |
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IF ( no_slip_sides ) THEN |
94 |
mlosch |
1.15 |
slipSideFac = -1. _d 0 |
95 |
jmc |
1.11 |
ELSE |
96 |
mlosch |
1.15 |
slipSideFac = 1. _d 0 |
97 |
jmc |
1.11 |
ENDIF |
98 |
mlosch |
1.18 |
CML half slip was used before ; keep the line for now, but half slip is |
99 |
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CML not used anywhere in the code as far as I can see. |
100 |
mlosch |
1.14 |
C slipSideFac = 0. _d 0 |
101 |
jmc |
1.11 |
|
102 |
adcroft |
1.1 |
DO bj=myByLo(myThid),myByHi(myThid) |
103 |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
104 |
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DO K=1,Nr |
105 |
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DO j=1-OLy,sNy+OLy |
106 |
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DO i=1-OLx,sNx+OLx |
107 |
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gW(i,j,k,bi,bj) = 0. |
108 |
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ENDDO |
109 |
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ENDDO |
110 |
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ENDDO |
111 |
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ENDDO |
112 |
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ENDDO |
113 |
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114 |
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C Catch barotropic mode |
115 |
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IF ( Nr .LT. 2 ) RETURN |
116 |
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117 |
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C For each tile |
118 |
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DO bj=myByLo(myThid),myByHi(myThid) |
119 |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
120 |
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121 |
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C Boundaries condition at top |
122 |
mlosch |
1.14 |
DO J=jMin,jMax |
123 |
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DO I=iMin,iMax |
124 |
adcroft |
1.1 |
Flx_Dn(I,J,bi,bj)=0. |
125 |
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ENDDO |
126 |
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ENDDO |
127 |
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128 |
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C Sweep down column |
129 |
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DO K=2,Nr |
130 |
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Kp1=K+1 |
131 |
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wOverRide=1. |
132 |
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if (K.EQ.Nr) then |
133 |
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Kp1=Nr |
134 |
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wOverRide=0. |
135 |
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endif |
136 |
mlosch |
1.18 |
C horizontal bi-harmonic dissipation |
137 |
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IF (momViscosity .AND. viscA4W.NE.0. ) THEN |
138 |
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C calculate the horizontal Laplacian of vertical flow |
139 |
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C Zonal flux d/dx W |
140 |
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DO j=1-Oly,sNy+Oly |
141 |
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fZon(1-Olx,j)=0. |
142 |
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DO i=1-Olx+1,sNx+Olx |
143 |
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fZon(i,j) = drF(k)*_hFacC(i,j,k,bi,bj) |
144 |
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& *_dyG(i,j,bi,bj) |
145 |
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& *_recip_dxC(i,j,bi,bj) |
146 |
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& *(wVel(i,j,k,bi,bj)-wVel(i-1,j,k,bi,bj)) |
147 |
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#ifdef COSINEMETH_III |
148 |
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& *sqcosFacU(J,bi,bj) |
149 |
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#endif |
150 |
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ENDDO |
151 |
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ENDDO |
152 |
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C Meridional flux d/dy W |
153 |
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DO i=1-Olx,sNx+Olx |
154 |
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fMer(I,1-Oly)=0. |
155 |
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ENDDO |
156 |
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DO j=1-Oly+1,sNy+Oly |
157 |
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DO i=1-Olx,sNx+Olx |
158 |
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fMer(i,j) = drF(k)*_hFacC(i,j,k,bi,bj) |
159 |
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& *_dxG(i,j,bi,bj) |
160 |
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& *_recip_dyC(i,j,bi,bj) |
161 |
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& *(wVel(i,j,k,bi,bj)-wVel(i,j-1,k,bi,bj)) |
162 |
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#ifdef ISOTROPIC_COS_SCALING |
163 |
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#ifdef COSINEMETH_III |
164 |
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& *sqCosFacV(j,bi,bj) |
165 |
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#endif |
166 |
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#endif |
167 |
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ENDDO |
168 |
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ENDDO |
169 |
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170 |
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C del^2 W |
171 |
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C Difference of zonal fluxes ... |
172 |
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DO j=1-Oly,sNy+Oly |
173 |
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DO i=1-Olx,sNx+Olx-1 |
174 |
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del2w(i,j)=fZon(i+1,j)-fZon(i,j) |
175 |
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ENDDO |
176 |
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del2w(sNx+Olx,j)=0. |
177 |
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ENDDO |
178 |
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179 |
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C ... add difference of meridional fluxes and divide by volume |
180 |
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DO j=1-Oly,sNy+Oly-1 |
181 |
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DO i=1-Olx,sNx+Olx |
182 |
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C First compute the fraction of open water for the w-control volume |
183 |
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C at the southern face |
184 |
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hFacCtmp=max(hFacC(I,J,K-1,bi,bj)-Half,0. _d 0) |
185 |
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& + min(hFacC(I,J,K ,bi,bj),Half) |
186 |
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IF (hFacCtmp .GT. 0.) THEN |
187 |
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recip_hFacCtmp = 1./hFacCtmp |
188 |
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ELSE |
189 |
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recip_hFacCtmp = 0. _d 0 |
190 |
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ENDIF |
191 |
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del2w(i,j)=recip_rA(i,j,bi,bj) |
192 |
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& *recip_drC(k)*recip_hFacCtmp |
193 |
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& *( |
194 |
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& del2w(i,j) |
195 |
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& +( fMer(i,j+1)-fMer(i,j) ) |
196 |
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& ) |
197 |
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ENDDO |
198 |
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ENDDO |
199 |
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C-- No-slip BCs impose a drag at walls... |
200 |
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CML ************************************************************ |
201 |
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CML No-slip Boundary conditions for bi-harmonic dissipation |
202 |
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CML need to be implemented here! |
203 |
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CML ************************************************************ |
204 |
jmc |
1.21 |
ELSE |
205 |
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C- Initialize del2w to zero: |
206 |
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DO j=1-Oly,sNy+Oly |
207 |
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DO i=1-Olx,sNx+Olx |
208 |
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del2w(i,j) = 0. _d 0 |
209 |
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ENDDO |
210 |
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ENDDO |
211 |
mlosch |
1.18 |
ENDIF |
212 |
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213 |
adcroft |
1.1 |
C Flux on Southern face |
214 |
mlosch |
1.14 |
DO J=jMin,jMax+1 |
215 |
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DO I=iMin,iMax |
216 |
mlosch |
1.15 |
C First compute the fraction of open water for the w-control volume |
217 |
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C at the southern face |
218 |
edhill |
1.16 |
hFacStmp=max(hFacS(I,J,K-1,bi,bj)-Half,0. _d 0) |
219 |
mlosch |
1.15 |
& + min(hFacS(I,J,K ,bi,bj),Half) |
220 |
adcroft |
1.1 |
tmp_VbarZ=Half*( |
221 |
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& _hFacS(I,J,K-1,bi,bj)*vVel( I ,J,K-1,bi,bj) |
222 |
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& +_hFacS(I,J, K ,bi,bj)*vVel( I ,J, K ,bi,bj)) |
223 |
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Flx_NS(I,J,bi,bj)= |
224 |
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& tmp_VbarZ*Half*(wVel(I,J,K,bi,bj)+wVel(I,J-1,K,bi,bj)) |
225 |
mlosch |
1.17 |
& -viscAhW*_recip_dyC(I,J,bi,bj) |
226 |
mlosch |
1.15 |
& *(hFacStmp*(wVel(I,J,K,bi,bj)-wVel(I,J-1,K,bi,bj)) |
227 |
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& +(1. _d 0 - hFacStmp)*(1. _d 0 - slipSideFac) |
228 |
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& *wVel(I,J,K,bi,bj)) |
229 |
mlosch |
1.18 |
& +viscA4W*_recip_dyC(I,J,bi,bj)*(del2w(I,J)-del2w(I,J-1)) |
230 |
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#ifdef ISOTROPIC_COS_SCALING |
231 |
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#ifdef COSINEMETH_III |
232 |
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& *sqCosFacV(j,bi,bj) |
233 |
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#else |
234 |
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& *CosFacV(j,bi,bj) |
235 |
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#endif |
236 |
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#endif |
237 |
mlosch |
1.15 |
C The last term is the weighted average of the viscous stress at the open |
238 |
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C fraction of the w control volume and at the closed fraction of the |
239 |
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C the control volume. A more compact but less intelligible version |
240 |
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C of the last three lines is: |
241 |
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CML & *( (1 _d 0 - slipSideFac*(1 _d 0 - hFacStmp)) |
242 |
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CML & *wVel(I,J,K,bi,bi) + hFacStmp*wVel(I,J-1,K,bi,bj) ) |
243 |
adcroft |
1.1 |
ENDDO |
244 |
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ENDDO |
245 |
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C Flux on Western face |
246 |
mlosch |
1.14 |
DO J=jMin,jMax |
247 |
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DO I=iMin,iMax+1 |
248 |
mlosch |
1.15 |
C First compute the fraction of open water for the w-control volume |
249 |
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C at the western face |
250 |
edhill |
1.16 |
hFacWtmp=max(hFacW(I,J,K-1,bi,bj)-Half,0. _d 0) |
251 |
mlosch |
1.15 |
& + min(hFacW(I,J,K ,bi,bj),Half) |
252 |
jmc |
1.21 |
tmp_UbarZ=Half*( |
253 |
adcroft |
1.1 |
& _hFacW(I,J,K-1,bi,bj)*uVel( I ,J,K-1,bi,bj) |
254 |
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& +_hFacW(I,J, K ,bi,bj)*uVel( I ,J, K ,bi,bj)) |
255 |
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Flx_EW(I,J,bi,bj)= |
256 |
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& tmp_UbarZ*Half*(wVel(I,J,K,bi,bj)+wVel(I-1,J,K,bi,bj)) |
257 |
mlosch |
1.17 |
& -viscAhW*_recip_dxC(I,J,bi,bj) |
258 |
mlosch |
1.15 |
& *(hFacWtmp*(wVel(I,J,K,bi,bj)-wVel(I-1,J,K,bi,bj)) |
259 |
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& +(1 _d 0 - hFacWtmp)*(1 _d 0 - slipSideFac) |
260 |
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& *wVel(I,J,K,bi,bj) ) |
261 |
mlosch |
1.18 |
& +viscA4W*_recip_dxC(I,J,bi,bj)*(del2w(I,J)-del2w(I-1,J)) |
262 |
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#ifdef COSINEMETH_III |
263 |
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& *sqCosFacU(j,bi,bj) |
264 |
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#else |
265 |
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& *CosFacU(j,bi,bj) |
266 |
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#endif |
267 |
mlosch |
1.15 |
C The last term is the weighted average of the viscous stress at the open |
268 |
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C fraction of the w control volume and at the closed fraction of the |
269 |
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C the control volume. A more compact but less intelligible version |
270 |
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C of the last three lines is: |
271 |
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CML & *( (1 _d 0 - slipSideFac*(1 _d 0 - hFacWtmp)) |
272 |
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CML & *wVel(I,J,K,bi,bi) + hFacWtmp*wVel(I-1,J,K,bi,bj) ) |
273 |
adcroft |
1.1 |
ENDDO |
274 |
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ENDDO |
275 |
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C Flux on Lower face |
276 |
mlosch |
1.14 |
DO J=jMin,jMax |
277 |
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DO I=iMin,iMax |
278 |
adcroft |
1.1 |
Flx_Up(I,J,bi,bj)=Flx_Dn(I,J,bi,bj) |
279 |
mlosch |
1.14 |
tmp_WbarZ=Half*(wVel(I,J,K,bi,bj) |
280 |
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& +wOverRide*wVel(I,J,Kp1,bi,bj)) |
281 |
adcroft |
1.1 |
Flx_Dn(I,J,bi,bj)= |
282 |
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& tmp_WbarZ*tmp_WbarZ |
283 |
jmc |
1.11 |
& -viscAr*recip_drF(K) |
284 |
|
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& *( wVel(I,J,K,bi,bj)-wOverRide*wVel(I,J,Kp1,bi,bj) ) |
285 |
adcroft |
1.1 |
ENDDO |
286 |
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ENDDO |
287 |
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C Divergence of fluxes |
288 |
mlosch |
1.14 |
DO J=jMin,jMax |
289 |
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DO I=iMin,iMax |
290 |
adcroft |
1.1 |
gW(I,J,K,bi,bj) = 0. |
291 |
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& -( |
292 |
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& +_recip_dxF(I,J,bi,bj)*( |
293 |
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& Flx_EW(I+1,J,bi,bj)-Flx_EW(I,J,bi,bj) ) |
294 |
|
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& +_recip_dyF(I,J,bi,bj)*( |
295 |
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& Flx_NS(I,J+1,bi,bj)-Flx_NS(I,J,bi,bj) ) |
296 |
|
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& +recip_drC(K) *( |
297 |
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& Flx_Up(I,J,bi,bj) -Flx_Dn(I,J,bi,bj) ) |
298 |
|
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& ) |
299 |
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caja * recip_hFacU(I,J,K,bi,bj) |
300 |
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caja NOTE: This should be included |
301 |
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caja but we need an hFacUW (above U points) |
302 |
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caja and an hFacUS (above V points) too... |
303 |
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ENDDO |
304 |
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ENDDO |
305 |
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ENDDO |
306 |
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ENDDO |
307 |
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ENDDO |
308 |
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|
309 |
jmc |
1.21 |
|
310 |
adcroft |
1.1 |
DO bj=myByLo(myThid),myByHi(myThid) |
311 |
|
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DO bi=myBxLo(myThid),myBxHi(myThid) |
312 |
|
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DO K=2,Nr |
313 |
mlosch |
1.14 |
DO j=jMin,jMax |
314 |
|
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DO i=iMin,iMax |
315 |
adcroft |
1.1 |
wVel(i,j,k,bi,bj) = wVel(i,j,k,bi,bj) |
316 |
adcroft |
1.19 |
& +deltatMom*nh_Am2*( ab15*gW(i,j,k,bi,bj) |
317 |
jmc |
1.21 |
& +ab05*gwNm1(i,j,k,bi,bj) ) |
318 |
adcroft |
1.1 |
IF (hFacC(I,J,K,bi,bj).EQ.0.) wVel(i,j,k,bi,bj)=0. |
319 |
jmc |
1.24 |
gwNm1(i,j,k,bi,bj) = gW(i,j,k,bi,bj) |
320 |
adcroft |
1.1 |
ENDDO |
321 |
|
|
ENDDO |
322 |
adcroft |
1.4 |
ENDDO |
323 |
|
|
ENDDO |
324 |
|
|
ENDDO |
325 |
|
|
|
326 |
adcroft |
1.5 |
#ifdef ALLOW_OBCS |
327 |
|
|
IF (useOBCS) THEN |
328 |
adcroft |
1.4 |
C-- This call is aesthetic: it makes the W field |
329 |
|
|
C consistent with the OBs but this has no algorithmic |
330 |
|
|
C impact. This is purely for diagnostic purposes. |
331 |
adcroft |
1.5 |
DO bj=myByLo(myThid),myByHi(myThid) |
332 |
|
|
DO bi=myBxLo(myThid),myBxHi(myThid) |
333 |
|
|
DO K=1,Nr |
334 |
|
|
CALL OBCS_APPLY_W( bi, bj, K, wVel, myThid ) |
335 |
|
|
ENDDO |
336 |
adcroft |
1.1 |
ENDDO |
337 |
|
|
ENDDO |
338 |
adcroft |
1.5 |
ENDIF |
339 |
|
|
#endif /* ALLOW_OBCS */ |
340 |
adcroft |
1.1 |
|
341 |
|
|
#endif /* ALLOW_NONHYDROSTATIC */ |
342 |
|
|
|
343 |
|
|
RETURN |
344 |
|
|
END |