1 |
jmc |
1.37 |
C $Header: /u/gcmpack/MITgcm/model/src/calc_gw.F,v 1.36 2007/03/12 23:48:24 jmc Exp $ |
2 |
jmc |
1.7 |
C $Name: $ |
3 |
edhill |
1.10 |
|
4 |
adcroft |
1.1 |
#include "CPP_OPTIONS.h" |
5 |
jmc |
1.36 |
#define CALC_GW_NEW_THICK |
6 |
adcroft |
1.1 |
|
7 |
cnh |
1.9 |
CBOP |
8 |
|
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C !ROUTINE: CALC_GW |
9 |
|
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C !INTERFACE: |
10 |
jmc |
1.25 |
SUBROUTINE CALC_GW( |
11 |
jmc |
1.28 |
I bi, bj, KappaRU, KappaRV, |
12 |
|
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I myTime, myIter, myThid ) |
13 |
cnh |
1.9 |
C !DESCRIPTION: \bv |
14 |
|
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C *==========================================================* |
15 |
jmc |
1.25 |
C | S/R CALC_GW |
16 |
jmc |
1.30 |
C | o Calculate vertical velocity tendency terms |
17 |
|
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C | ( Non-Hydrostatic only ) |
18 |
cnh |
1.9 |
C *==========================================================* |
19 |
jmc |
1.30 |
C | In NH, the vertical momentum tendency must be |
20 |
jmc |
1.25 |
C | calculated explicitly and included as a source term |
21 |
cnh |
1.9 |
C | for a 3d pressure eqn. Calculate that term here. |
22 |
|
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C | This routine is not used in HYD calculations. |
23 |
|
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C *==========================================================* |
24 |
jmc |
1.25 |
C \ev |
25 |
cnh |
1.9 |
|
26 |
|
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C !USES: |
27 |
adcroft |
1.1 |
IMPLICIT NONE |
28 |
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C == Global variables == |
29 |
|
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#include "SIZE.h" |
30 |
|
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#include "EEPARAMS.h" |
31 |
|
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#include "PARAMS.h" |
32 |
|
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#include "GRID.h" |
33 |
jmc |
1.37 |
#include "RESTART.h" |
34 |
jmc |
1.34 |
#include "SURFACE.h" |
35 |
jmc |
1.22 |
#include "DYNVARS.h" |
36 |
|
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#include "NH_VARS.h" |
37 |
adcroft |
1.1 |
|
38 |
cnh |
1.9 |
C !INPUT/OUTPUT PARAMETERS: |
39 |
adcroft |
1.1 |
C == Routine arguments == |
40 |
jmc |
1.28 |
C bi,bj :: current tile indices |
41 |
|
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C KappaRU :: vertical viscosity at U points |
42 |
|
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C KappaRV :: vertical viscosity at V points |
43 |
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C myTime :: Current time in simulation |
44 |
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C myIter :: Current iteration number in simulation |
45 |
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C myThid :: Thread number for this instance of the routine. |
46 |
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INTEGER bi,bj |
47 |
baylor |
1.27 |
_RL KappaRU(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
48 |
|
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_RL KappaRV(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
49 |
jmc |
1.20 |
_RL myTime |
50 |
|
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INTEGER myIter |
51 |
adcroft |
1.1 |
INTEGER myThid |
52 |
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|
53 |
adcroft |
1.3 |
#ifdef ALLOW_NONHYDROSTATIC |
54 |
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|
55 |
cnh |
1.9 |
C !LOCAL VARIABLES: |
56 |
adcroft |
1.1 |
C == Local variables == |
57 |
jmc |
1.30 |
C iMin,iMax |
58 |
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C jMin,jMax |
59 |
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C xA :: W-Cell face area normal to X |
60 |
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C yA :: W-Cell face area normal to Y |
61 |
jmc |
1.36 |
C rMinW,rMaxW :: column boundaries (r-units) at Western Edge |
62 |
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C rMinS,rMaxS :: column boundaries (r-units) at Southern Edge |
63 |
jmc |
1.30 |
C rThickC_W :: thickness (in r-units) of W-Cell at Western Edge |
64 |
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C rThickC_S :: thickness (in r-units) of W-Cell at Southern Edge |
65 |
jmc |
1.34 |
C rThickC_C :: thickness (in r-units) of W-Cell (centered on W pt) |
66 |
jmc |
1.30 |
C recip_rThickC :: reciprol thickness of W-Cell (centered on W-point) |
67 |
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C flx_NS :: vertical momentum flux, meridional direction |
68 |
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C flx_EW :: vertical momentum flux, zonal direction |
69 |
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C flxAdvUp :: vertical mom. advective flux, vertical direction (@ level k-1) |
70 |
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C flxDisUp :: vertical mom. dissipation flux, vertical direction (@ level k-1) |
71 |
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C flx_Dn :: vertical momentum flux, vertical direction (@ level k) |
72 |
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C gwDiss :: vertical momentum dissipation tendency |
73 |
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C i,j,k :: Loop counters |
74 |
jmc |
1.28 |
INTEGER iMin,iMax,jMin,jMax |
75 |
jmc |
1.30 |
_RS xA (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
76 |
|
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_RS yA (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
77 |
jmc |
1.36 |
_RS rMinW (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
78 |
|
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_RS rMaxW (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
79 |
|
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_RS rMinS (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
80 |
|
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_RS rMaxS (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
81 |
jmc |
1.30 |
_RL rThickC_W (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
82 |
|
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_RL rThickC_S (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
83 |
jmc |
1.34 |
_RL rThickC_C (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
84 |
jmc |
1.30 |
_RL recip_rThickC(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
85 |
jmc |
1.28 |
_RL flx_NS(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
86 |
|
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_RL flx_EW(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
87 |
|
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_RL flx_Dn(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
88 |
jmc |
1.30 |
_RL flxAdvUp(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
89 |
|
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_RL flxDisUp(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
90 |
|
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_RL gwDiss(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
91 |
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_RL gwAdd (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
92 |
jmc |
1.28 |
_RL del2w (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
93 |
|
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INTEGER i,j,k, kp1 |
94 |
adcroft |
1.1 |
_RL wOverride |
95 |
jmc |
1.30 |
_RL tmp_WbarZ |
96 |
|
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_RL uTrans, vTrans, rTrans |
97 |
jmc |
1.28 |
_RL viscLoc |
98 |
jmc |
1.30 |
_RL halfRL |
99 |
|
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_RS halfRS, zeroRS |
100 |
|
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PARAMETER( halfRL = 0.5D0 ) |
101 |
|
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PARAMETER( halfRS = 0.5 , zeroRS = 0. ) |
102 |
jmc |
1.36 |
PARAMETER( iMin = 1 , iMax = sNx ) |
103 |
|
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PARAMETER( jMin = 1 , jMax = sNy ) |
104 |
cnh |
1.9 |
CEOP |
105 |
edhill |
1.10 |
|
106 |
jmc |
1.25 |
C Catch barotropic mode |
107 |
|
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IF ( Nr .LT. 2 ) RETURN |
108 |
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|
109 |
jmc |
1.28 |
C-- Initialise gW to zero |
110 |
|
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DO k=1,Nr |
111 |
|
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DO j=1-OLy,sNy+OLy |
112 |
|
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DO i=1-OLx,sNx+OLx |
113 |
adcroft |
1.1 |
gW(i,j,k,bi,bj) = 0. |
114 |
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ENDDO |
115 |
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ENDDO |
116 |
jmc |
1.28 |
ENDDO |
117 |
jmc |
1.30 |
C- Initialise gwDiss to zero |
118 |
|
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DO j=1-OLy,sNy+OLy |
119 |
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DO i=1-OLx,sNx+OLx |
120 |
|
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gwDiss(i,j) = 0. |
121 |
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ENDDO |
122 |
|
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ENDDO |
123 |
adcroft |
1.1 |
|
124 |
jmc |
1.28 |
C-- Boundaries condition at top |
125 |
jmc |
1.30 |
DO j=1-OLy,sNy+OLy |
126 |
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DO i=1-OLx,sNx+OLx |
127 |
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flxAdvUp(i,j) = 0. |
128 |
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flxDisUp(i,j) = 0. |
129 |
jmc |
1.28 |
ENDDO |
130 |
|
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ENDDO |
131 |
jmc |
1.36 |
C-- column boundaries : |
132 |
|
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IF (momViscosity) THEN |
133 |
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DO j=1-Oly,sNy+Oly |
134 |
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DO i=1-Olx+1,sNx+Olx |
135 |
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rMaxW(i,j) = MIN( Ro_surf(i-1,j,bi,bj), Ro_surf(i,j,bi,bj) ) |
136 |
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rMinW(i,j) = MAX( R_low(i-1,j,bi,bj), R_low(i,j,bi,bj) ) |
137 |
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ENDDO |
138 |
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ENDDO |
139 |
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DO j=1-Oly+1,sNy+Oly |
140 |
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DO i=1-Olx,sNx+Olx |
141 |
|
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rMaxS(i,j) = MIN( Ro_surf(i,j-1,bi,bj), Ro_surf(i,j,bi,bj) ) |
142 |
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rMinS(i,j) = MAX( R_low(i,j-1,bi,bj), R_low(i,j,bi,bj) ) |
143 |
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ENDDO |
144 |
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ENDDO |
145 |
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ENDIF |
146 |
adcroft |
1.1 |
|
147 |
jmc |
1.28 |
C--- Sweep down column |
148 |
|
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DO k=2,Nr |
149 |
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kp1=k+1 |
150 |
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wOverRide=1. |
151 |
|
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IF (k.EQ.Nr) THEN |
152 |
|
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kp1=Nr |
153 |
adcroft |
1.1 |
wOverRide=0. |
154 |
jmc |
1.28 |
ENDIF |
155 |
jmc |
1.30 |
C-- Compute grid factor arround a W-point: |
156 |
jmc |
1.36 |
#ifdef CALC_GW_NEW_THICK |
157 |
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DO j=1-Oly,sNy+Oly |
158 |
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DO i=1-Olx,sNx+Olx |
159 |
|
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IF ( maskC(i,j,k-1,bi,bj).EQ.0. .OR. |
160 |
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& maskC(i,j, k ,bi,bj).EQ.0. ) THEN |
161 |
|
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recip_rThickC(i,j) = 0. |
162 |
|
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ELSE |
163 |
|
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C- valid in z & p coord.; also accurate if Interface @ middle between 2 centers |
164 |
|
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recip_rThickC(i,j) = 1. _d 0 / |
165 |
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& ( MIN( Ro_surf(i,j,bi,bj),rC(k-1) ) |
166 |
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& - MAX( R_low(i,j,bi,bj), rC(k) ) |
167 |
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& ) |
168 |
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ENDIF |
169 |
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ENDDO |
170 |
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ENDDO |
171 |
|
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IF (momViscosity) THEN |
172 |
|
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DO j=1-Oly,sNy+Oly |
173 |
|
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DO i=1-Olx,sNx+Olx |
174 |
|
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rThickC_C(i,j) = MAX( zeroRS, |
175 |
|
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& MIN( Ro_surf(i,j,bi,bj), rC(k-1) ) |
176 |
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& -MAX( R_low(i,j,bi,bj), rC(k) ) |
177 |
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& ) |
178 |
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ENDDO |
179 |
|
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ENDDO |
180 |
|
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DO j=1-Oly,sNy+Oly |
181 |
|
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DO i=1-Olx+1,sNx+Olx |
182 |
|
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rThickC_W(i,j) = MAX( zeroRS, |
183 |
|
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& MIN( rMaxW(i,j), rC(k-1) ) |
184 |
|
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& -MAX( rMinW(i,j), rC(k) ) |
185 |
|
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& ) |
186 |
|
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C W-Cell Western face area: |
187 |
|
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xA(i,j) = _dyG(i,j,bi,bj)*rThickC_W(i,j) |
188 |
|
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c & *deepFacF(k) |
189 |
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ENDDO |
190 |
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ENDDO |
191 |
|
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DO j=1-Oly+1,sNy+Oly |
192 |
|
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DO i=1-Olx,sNx+Olx |
193 |
|
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rThickC_S(i,j) = MAX( zeroRS, |
194 |
|
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& MIN( rMaxS(i,j), rC(k-1) ) |
195 |
|
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& -MAX( rMinS(i,j), rC(k) ) |
196 |
|
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& ) |
197 |
|
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C W-Cell Southern face area: |
198 |
|
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yA(i,j) = _dxG(i,j,bi,bj)*rThickC_S(i,j) |
199 |
|
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c & *deepFacF(k) |
200 |
|
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C deep-model: xA,yA is only used for viscous flux, in terms like: xA/dxC,yA/dyC. |
201 |
|
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C this gives deepFacF*recip_deepFacF => cancel each other (and therefore omitted) |
202 |
|
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ENDDO |
203 |
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ENDDO |
204 |
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ENDIF |
205 |
|
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#else /* CALC_GW_NEW_THICK */ |
206 |
jmc |
1.30 |
DO j=1-Oly,sNy+Oly |
207 |
|
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DO i=1-Olx,sNx+Olx |
208 |
|
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C- note: assume fluid @ smaller k than bottom: does not work in p-coordinate ! |
209 |
|
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IF ( maskC(i,j,k,bi,bj).EQ.0. ) THEN |
210 |
|
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recip_rThickC(i,j) = 0. |
211 |
|
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ELSE |
212 |
|
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recip_rThickC(i,j) = 1. _d 0 / |
213 |
jmc |
1.33 |
& ( drF(k-1)*halfRS |
214 |
jmc |
1.30 |
& + drF( k )*MIN( _hFacC(i,j, k ,bi,bj), halfRS ) |
215 |
|
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& ) |
216 |
|
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ENDIF |
217 |
jmc |
1.34 |
c IF (momViscosity) THEN |
218 |
|
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#ifdef NONLIN_FRSURF |
219 |
jmc |
1.35 |
rThickC_C(i,j) = |
220 |
jmc |
1.34 |
& drF(k-1)*MAX( h0FacC(i,j,k-1,bi,bj)-halfRS, zeroRS ) |
221 |
|
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& + drF( k )*MIN( h0FacC(i,j,k ,bi,bj), halfRS ) |
222 |
|
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#else |
223 |
jmc |
1.35 |
rThickC_C(i,j) = |
224 |
jmc |
1.34 |
& drF(k-1)*MAX( _hFacC(i,j,k-1,bi,bj)-halfRS, zeroRS ) |
225 |
|
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& + drF( k )*MIN( _hFacC(i,j,k ,bi,bj), halfRS ) |
226 |
|
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#endif |
227 |
|
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rThickC_W(i,j) = |
228 |
|
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& drF(k-1)*MAX( _hFacW(i,j,k-1,bi,bj)-halfRS, zeroRS ) |
229 |
|
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& + drF( k )*MIN( _hFacW(i,j,k ,bi,bj), halfRS ) |
230 |
|
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rThickC_S(i,j) = |
231 |
|
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& drF(k-1)*MAX( _hFacS(i,j,k-1,bi,bj)-halfRS, zeroRS ) |
232 |
|
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& + drF( k )*MIN( _hFacS(i,j, k ,bi,bj), halfRS ) |
233 |
jmc |
1.30 |
C W-Cell Western face area: |
234 |
|
|
xA(i,j) = _dyG(i,j,bi,bj)*rThickC_W(i,j) |
235 |
jmc |
1.35 |
c & *deepFacF(k) |
236 |
jmc |
1.30 |
C W-Cell Southern face area: |
237 |
|
|
yA(i,j) = _dxG(i,j,bi,bj)*rThickC_S(i,j) |
238 |
jmc |
1.35 |
c & *deepFacF(k) |
239 |
|
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C deep-model: xA,yA is only used for viscous flux, in terms like: xA/dxC,yA/dyC. |
240 |
|
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C this gives deepFacF*recip_deepFacF => cancel each other (and therefore omitted) |
241 |
jmc |
1.34 |
c ENDIF |
242 |
jmc |
1.30 |
ENDDO |
243 |
|
|
ENDDO |
244 |
jmc |
1.36 |
#endif /* CALC_GW_NEW_THICK */ |
245 |
jmc |
1.30 |
|
246 |
jmc |
1.28 |
C-- horizontal bi-harmonic dissipation |
247 |
|
|
IF (momViscosity .AND. viscA4W.NE.0. ) THEN |
248 |
|
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C- calculate the horizontal Laplacian of vertical flow |
249 |
mlosch |
1.18 |
C Zonal flux d/dx W |
250 |
|
|
DO j=1-Oly,sNy+Oly |
251 |
jmc |
1.30 |
flx_EW(1-Olx,j)=0. |
252 |
mlosch |
1.18 |
DO i=1-Olx+1,sNx+Olx |
253 |
jmc |
1.30 |
flx_EW(i,j) = |
254 |
|
|
& (wVel(i,j,k,bi,bj)-wVel(i-1,j,k,bi,bj)) |
255 |
|
|
& *_recip_dxC(i,j,bi,bj)*xA(i,j) |
256 |
mlosch |
1.18 |
#ifdef COSINEMETH_III |
257 |
jmc |
1.35 |
& *sqCosFacU(j,bi,bj) |
258 |
mlosch |
1.18 |
#endif |
259 |
|
|
ENDDO |
260 |
jmc |
1.28 |
ENDDO |
261 |
mlosch |
1.18 |
C Meridional flux d/dy W |
262 |
|
|
DO i=1-Olx,sNx+Olx |
263 |
jmc |
1.30 |
flx_NS(i,1-Oly)=0. |
264 |
mlosch |
1.18 |
ENDDO |
265 |
|
|
DO j=1-Oly+1,sNy+Oly |
266 |
|
|
DO i=1-Olx,sNx+Olx |
267 |
jmc |
1.30 |
flx_NS(i,j) = |
268 |
|
|
& (wVel(i,j,k,bi,bj)-wVel(i,j-1,k,bi,bj)) |
269 |
|
|
& *_recip_dyC(i,j,bi,bj)*yA(i,j) |
270 |
mlosch |
1.18 |
#ifdef ISOTROPIC_COS_SCALING |
271 |
|
|
#ifdef COSINEMETH_III |
272 |
jmc |
1.30 |
& *sqCosFacV(j,bi,bj) |
273 |
mlosch |
1.18 |
#endif |
274 |
|
|
#endif |
275 |
|
|
ENDDO |
276 |
|
|
ENDDO |
277 |
jmc |
1.25 |
|
278 |
mlosch |
1.18 |
C del^2 W |
279 |
|
|
C Difference of zonal fluxes ... |
280 |
|
|
DO j=1-Oly,sNy+Oly |
281 |
|
|
DO i=1-Olx,sNx+Olx-1 |
282 |
jmc |
1.30 |
del2w(i,j)=flx_EW(i+1,j)-flx_EW(i,j) |
283 |
mlosch |
1.18 |
ENDDO |
284 |
|
|
del2w(sNx+Olx,j)=0. |
285 |
|
|
ENDDO |
286 |
|
|
|
287 |
|
|
C ... add difference of meridional fluxes and divide by volume |
288 |
|
|
DO j=1-Oly,sNy+Oly-1 |
289 |
|
|
DO i=1-Olx,sNx+Olx |
290 |
jmc |
1.30 |
del2w(i,j) = ( del2w(i,j) |
291 |
|
|
& +(flx_NS(i,j+1)-flx_NS(i,j)) |
292 |
|
|
& )*recip_rA(i,j,bi,bj)*recip_rThickC(i,j) |
293 |
jmc |
1.35 |
& *recip_deepFac2F(k) |
294 |
mlosch |
1.18 |
ENDDO |
295 |
|
|
ENDDO |
296 |
|
|
C-- No-slip BCs impose a drag at walls... |
297 |
|
|
CML ************************************************************ |
298 |
|
|
CML No-slip Boundary conditions for bi-harmonic dissipation |
299 |
|
|
CML need to be implemented here! |
300 |
|
|
CML ************************************************************ |
301 |
jmc |
1.36 |
ELSEIF (momViscosity) THEN |
302 |
jmc |
1.21 |
C- Initialize del2w to zero: |
303 |
|
|
DO j=1-Oly,sNy+Oly |
304 |
|
|
DO i=1-Olx,sNx+Olx |
305 |
|
|
del2w(i,j) = 0. _d 0 |
306 |
|
|
ENDDO |
307 |
|
|
ENDDO |
308 |
jmc |
1.28 |
ENDIF |
309 |
mlosch |
1.18 |
|
310 |
jmc |
1.30 |
IF (momViscosity) THEN |
311 |
|
|
C Viscous Flux on Western face |
312 |
|
|
DO j=jMin,jMax |
313 |
|
|
DO i=iMin,iMax+1 |
314 |
|
|
flx_EW(i,j)= |
315 |
|
|
& - (viscAh_W(i,j,k,bi,bj)+viscAh_W(i-1,j,k,bi,bj))*halfRL |
316 |
|
|
& *(wVel(i,j,k,bi,bj)-wVel(i-1,j,k,bi,bj)) |
317 |
jmc |
1.31 |
& *_recip_dxC(i,j,bi,bj)*xA(i,j) |
318 |
|
|
cOld & *_recip_dxC(i,j,bi,bj)*rThickC_W(i,j) |
319 |
jmc |
1.34 |
& *cosFacU(j,bi,bj) |
320 |
jmc |
1.30 |
& + (viscA4_W(i,j,k,bi,bj)+viscA4_W(i-1,j,k,bi,bj))*halfRL |
321 |
|
|
& *(del2w(i,j)-del2w(i-1,j)) |
322 |
jmc |
1.31 |
& *_recip_dxC(i,j,bi,bj)*xA(i,j) |
323 |
|
|
cOld & *_recip_dxC(i,j,bi,bj)*drC(k) |
324 |
mlosch |
1.18 |
#ifdef COSINEMETH_III |
325 |
jmc |
1.30 |
& *sqCosFacU(j,bi,bj) |
326 |
mlosch |
1.18 |
#else |
327 |
jmc |
1.34 |
& *cosFacU(j,bi,bj) |
328 |
mlosch |
1.18 |
#endif |
329 |
jmc |
1.30 |
ENDDO |
330 |
|
|
ENDDO |
331 |
|
|
C Viscous Flux on Southern face |
332 |
|
|
DO j=jMin,jMax+1 |
333 |
|
|
DO i=iMin,iMax |
334 |
|
|
flx_NS(i,j)= |
335 |
|
|
& - (viscAh_W(i,j,k,bi,bj)+viscAh_W(i,j-1,k,bi,bj))*halfRL |
336 |
|
|
& *(wVel(i,j,k,bi,bj)-wVel(i,j-1,k,bi,bj)) |
337 |
jmc |
1.31 |
& *_recip_dyC(i,j,bi,bj)*yA(i,j) |
338 |
|
|
cOld & *_recip_dyC(i,j,bi,bj)*rThickC_S(i,j) |
339 |
jmc |
1.34 |
#ifdef ISOTROPIC_COS_SCALING |
340 |
|
|
& *cosFacV(j,bi,bj) |
341 |
|
|
#endif |
342 |
jmc |
1.30 |
& + (viscA4_W(i,j,k,bi,bj)+viscA4_W(i,j-1,k,bi,bj))*halfRL |
343 |
|
|
& *(del2w(i,j)-del2w(i,j-1)) |
344 |
jmc |
1.31 |
& *_recip_dyC(i,j,bi,bj)*yA(i,j) |
345 |
|
|
cOld & *_recip_dyC(i,j,bi,bj)*drC(k) |
346 |
jmc |
1.30 |
#ifdef ISOTROPIC_COS_SCALING |
347 |
mlosch |
1.18 |
#ifdef COSINEMETH_III |
348 |
jmc |
1.30 |
& *sqCosFacV(j,bi,bj) |
349 |
jmc |
1.25 |
#else |
350 |
jmc |
1.34 |
& *cosFacV(j,bi,bj) |
351 |
jmc |
1.30 |
#endif |
352 |
mlosch |
1.18 |
#endif |
353 |
jmc |
1.30 |
ENDDO |
354 |
|
|
ENDDO |
355 |
|
|
C Viscous Flux on Lower face of W-Cell (= at tracer-cell center, level k) |
356 |
|
|
DO j=jMin,jMax |
357 |
|
|
DO i=iMin,iMax |
358 |
|
|
C Interpolate vert viscosity to center of tracer-cell (level k): |
359 |
|
|
viscLoc = ( KappaRU(i,j,k) +KappaRU(i+1,j,k) |
360 |
|
|
& +KappaRU(i,j,kp1)+KappaRU(i+1,j,kp1) |
361 |
|
|
& +KappaRV(i,j,k) +KappaRV(i,j+1,k) |
362 |
|
|
& +KappaRV(i,j,kp1)+KappaRV(i,j+1,kp1) |
363 |
|
|
& )*0.125 _d 0 |
364 |
|
|
flx_Dn(i,j) = |
365 |
|
|
& - viscLoc*( wVel(i,j,kp1,bi,bj)*wOverRide |
366 |
|
|
& -wVel(i,j, k ,bi,bj) )*rkSign |
367 |
jmc |
1.31 |
& *recip_drF(k)*rA(i,j,bi,bj) |
368 |
jmc |
1.35 |
& *deepFac2C(k)*rhoFacC(k) |
369 |
jmc |
1.31 |
cOld & *recip_drF(k) |
370 |
jmc |
1.30 |
ENDDO |
371 |
|
|
ENDDO |
372 |
|
|
C Tendency is minus divergence of viscous fluxes: |
373 |
jmc |
1.35 |
C anelastic: vert.visc.flx is scaled by rhoFac but hor.visc.fluxes are not |
374 |
jmc |
1.30 |
DO j=jMin,jMax |
375 |
|
|
DO i=iMin,iMax |
376 |
|
|
gwDiss(i,j) = |
377 |
jmc |
1.31 |
& -( ( flx_EW(i+1,j)-flx_EW(i,j) ) |
378 |
|
|
& + ( flx_NS(i,j+1)-flx_NS(i,j) ) |
379 |
|
|
& + ( flx_Dn(i,j)-flxDisUp(i,j) )*rkSign |
380 |
jmc |
1.35 |
& *recip_rhoFacF(k) |
381 |
jmc |
1.31 |
& )*recip_rA(i,j,bi,bj)*recip_rThickC(i,j) |
382 |
jmc |
1.35 |
& *recip_deepFac2F(k) |
383 |
jmc |
1.31 |
cOld gwDiss(i,j) = |
384 |
|
|
cOld & -( |
385 |
|
|
cOld & +_recip_dxF(i,j,bi,bj)*( flx_EW(i+1,j)-flx_EW(i,j) ) |
386 |
|
|
cOld & +_recip_dyF(i,j,bi,bj)*( flx_NS(i,j+1)-flx_NS(i,j) ) |
387 |
|
|
cOld & + ( flxDisUp(i,j)-flx_Dn(i,j) ) |
388 |
|
|
c & )*recip_rThickC(i,j) |
389 |
|
|
cOld & )*recip_drC(k) |
390 |
jmc |
1.28 |
C-- prepare for next level (k+1) |
391 |
jmc |
1.30 |
flxDisUp(i,j)=flx_Dn(i,j) |
392 |
|
|
ENDDO |
393 |
|
|
ENDDO |
394 |
|
|
ENDIF |
395 |
|
|
|
396 |
jmc |
1.36 |
IF ( momViscosity .AND. no_slip_sides ) THEN |
397 |
jmc |
1.30 |
C- No-slip BCs impose a drag at walls... |
398 |
jmc |
1.34 |
CALL MOM_W_SIDEDRAG( |
399 |
|
|
I bi,bj,k, |
400 |
|
|
I wVel, del2w, |
401 |
|
|
I rThickC_C, recip_rThickC, |
402 |
|
|
I viscAh_W, viscA4_W, |
403 |
|
|
O gwAdd, |
404 |
|
|
I myThid ) |
405 |
|
|
DO j=jMin,jMax |
406 |
|
|
DO i=iMin,iMax |
407 |
|
|
gwDiss(i,j) = gwDiss(i,j) + gwAdd(i,j) |
408 |
|
|
ENDDO |
409 |
|
|
ENDDO |
410 |
jmc |
1.30 |
ENDIF |
411 |
|
|
|
412 |
|
|
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
413 |
|
|
|
414 |
|
|
IF ( momAdvection ) THEN |
415 |
|
|
C Advective Flux on Western face |
416 |
|
|
DO j=jMin,jMax |
417 |
|
|
DO i=iMin,iMax+1 |
418 |
|
|
C transport through Western face area: |
419 |
|
|
uTrans = ( |
420 |
|
|
& drF(k-1)*_hFacW(i,j,k-1,bi,bj)*uVel(i,j,k-1,bi,bj) |
421 |
jmc |
1.35 |
& *rhoFacC(k-1) |
422 |
jmc |
1.30 |
& + drF( k )*_hFacW(i,j, k ,bi,bj)*uVel(i,j, k ,bi,bj) |
423 |
jmc |
1.35 |
& *rhoFacC(k) |
424 |
|
|
& )*halfRL*_dyG(i,j,bi,bj)*deepFacF(k) |
425 |
jmc |
1.31 |
cOld & )*halfRL |
426 |
jmc |
1.30 |
flx_EW(i,j)= |
427 |
|
|
& uTrans*(wVel(i,j,k,bi,bj)+wVel(i-1,j,k,bi,bj))*halfRL |
428 |
|
|
ENDDO |
429 |
|
|
ENDDO |
430 |
|
|
C Advective Flux on Southern face |
431 |
|
|
DO j=jMin,jMax+1 |
432 |
|
|
DO i=iMin,iMax |
433 |
|
|
C transport through Southern face area: |
434 |
|
|
vTrans = ( |
435 |
|
|
& drF(k-1)*_hFacS(i,j,k-1,bi,bj)*vVel(i,j,k-1,bi,bj) |
436 |
jmc |
1.35 |
& *rhoFacC(k-1) |
437 |
jmc |
1.30 |
& +drF( k )*_hFacS(i,j, k ,bi,bj)*vVel(i,j, k ,bi,bj) |
438 |
jmc |
1.35 |
& *rhoFacC(k) |
439 |
|
|
& )*halfRL*_dxG(i,j,bi,bj)*deepFacF(k) |
440 |
jmc |
1.31 |
cOld & )*halfRL |
441 |
jmc |
1.30 |
flx_NS(i,j)= |
442 |
|
|
& vTrans*(wVel(i,j,k,bi,bj)+wVel(i,j-1,k,bi,bj))*halfRL |
443 |
|
|
ENDDO |
444 |
|
|
ENDDO |
445 |
|
|
C Advective Flux on Lower face of W-Cell (= at tracer-cell center, level k) |
446 |
|
|
DO j=jMin,jMax |
447 |
|
|
DO i=iMin,iMax |
448 |
jmc |
1.36 |
C NH in p-coord.: advect wSpeed [m/s] with rTrans |
449 |
|
|
tmp_WbarZ = halfRL* |
450 |
|
|
& ( wVel(i,j, k ,bi,bj)*rVel2wUnit(k) |
451 |
|
|
& +wVel(i,j,kp1,bi,bj)*rVel2wUnit(kp1)*wOverRide ) |
452 |
jmc |
1.30 |
C transport through Lower face area: |
453 |
jmc |
1.35 |
rTrans = halfRL* |
454 |
|
|
& ( wVel(i,j, k ,bi,bj)*deepFac2F( k )*rhoFacF( k ) |
455 |
|
|
& +wVel(i,j,kp1,bi,bj)*deepFac2F(kp1)*rhoFacF(kp1) |
456 |
|
|
& *wOverRide |
457 |
|
|
& )*rA(i,j,bi,bj) |
458 |
jmc |
1.31 |
flx_Dn(i,j) = rTrans*tmp_WbarZ |
459 |
|
|
cOld flx_Dn(i,j) = tmp_WbarZ*tmp_WbarZ |
460 |
jmc |
1.30 |
ENDDO |
461 |
|
|
ENDDO |
462 |
|
|
C Tendency is minus divergence of advective fluxes: |
463 |
jmc |
1.35 |
C anelastic: all transports & advect. fluxes are scaled by rhoFac |
464 |
jmc |
1.30 |
DO j=jMin,jMax |
465 |
|
|
DO i=iMin,iMax |
466 |
|
|
gW(i,j,k,bi,bj) = |
467 |
jmc |
1.31 |
& -( ( flx_EW(i+1,j)-flx_EW(i,j) ) |
468 |
|
|
& + ( flx_NS(i,j+1)-flx_NS(i,j) ) |
469 |
jmc |
1.36 |
& + ( flx_Dn(i,j)-flxAdvUp(i,j) )*rkSign*wUnit2rVel(k) |
470 |
jmc |
1.31 |
& )*recip_rA(i,j,bi,bj)*recip_rThickC(i,j) |
471 |
jmc |
1.35 |
& *recip_deepFac2F(k)*recip_rhoFacF(k) |
472 |
jmc |
1.31 |
cOld gW(i,j,k,bi,bj) = |
473 |
|
|
cOld & -( |
474 |
|
|
cOld & +_recip_dxF(i,j,bi,bj)*( flx_EW(i+1,j)-flx_EW(i,j) ) |
475 |
|
|
cOld & +_recip_dyF(i,j,bi,bj)*( flx_NS(i,j+1)-flx_NS(i,j) ) |
476 |
|
|
cOld & + ( flxAdvUp(i,j)-flx_Dn(i,j) ) |
477 |
|
|
c & )*recip_rThickC(i,j) |
478 |
|
|
cOld & )*recip_drC(k) |
479 |
jmc |
1.30 |
C-- prepare for next level (k+1) |
480 |
|
|
flxAdvUp(i,j)=flx_Dn(i,j) |
481 |
|
|
ENDDO |
482 |
|
|
ENDDO |
483 |
|
|
ENDIF |
484 |
|
|
|
485 |
|
|
IF ( useNHMTerms ) THEN |
486 |
|
|
CALL MOM_W_METRIC_NH( |
487 |
|
|
I bi,bj,k, |
488 |
|
|
I uVel, vVel, |
489 |
|
|
O gwAdd, |
490 |
|
|
I myThid ) |
491 |
|
|
DO j=jMin,jMax |
492 |
|
|
DO i=iMin,iMax |
493 |
|
|
gW(i,j,k,bi,bj) = gW(i,j,k,bi,bj)+gwAdd(i,j) |
494 |
|
|
ENDDO |
495 |
|
|
ENDDO |
496 |
|
|
ENDIF |
497 |
jmc |
1.32 |
IF ( use3dCoriolis ) THEN |
498 |
jmc |
1.30 |
CALL MOM_W_CORIOLIS_NH( |
499 |
|
|
I bi,bj,k, |
500 |
|
|
I uVel, vVel, |
501 |
|
|
O gwAdd, |
502 |
|
|
I myThid ) |
503 |
|
|
DO j=jMin,jMax |
504 |
|
|
DO i=iMin,iMax |
505 |
|
|
gW(i,j,k,bi,bj) = gW(i,j,k,bi,bj)+gwAdd(i,j) |
506 |
|
|
ENDDO |
507 |
|
|
ENDDO |
508 |
|
|
ENDIF |
509 |
adcroft |
1.1 |
|
510 |
jmc |
1.25 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
511 |
|
|
|
512 |
jmc |
1.30 |
C-- Dissipation term inside the Adams-Bashforth: |
513 |
|
|
IF ( momViscosity .AND. momDissip_In_AB) THEN |
514 |
|
|
DO j=jMin,jMax |
515 |
|
|
DO i=iMin,iMax |
516 |
|
|
gW(i,j,k,bi,bj) = gW(i,j,k,bi,bj)+gwDiss(i,j) |
517 |
|
|
ENDDO |
518 |
|
|
ENDDO |
519 |
|
|
ENDIF |
520 |
|
|
|
521 |
jmc |
1.25 |
C- Compute effective gW_[n+1/2] terms (including Adams-Bashforth weights) |
522 |
|
|
C and save gW_[n] into gwNm1 for the next time step. |
523 |
|
|
c#ifdef ALLOW_ADAMSBASHFORTH_3 |
524 |
jmc |
1.28 |
c CALL ADAMS_BASHFORTH3( |
525 |
|
|
c I bi, bj, k, |
526 |
|
|
c U gW, gwNm, |
527 |
jmc |
1.37 |
c I nHydStartAB, myIter, myThid ) |
528 |
jmc |
1.25 |
c#else /* ALLOW_ADAMSBASHFORTH_3 */ |
529 |
jmc |
1.28 |
CALL ADAMS_BASHFORTH2( |
530 |
|
|
I bi, bj, k, |
531 |
|
|
U gW, gwNm1, |
532 |
jmc |
1.37 |
I nHydStartAB, myIter, myThid ) |
533 |
jmc |
1.25 |
c#endif /* ALLOW_ADAMSBASHFORTH_3 */ |
534 |
jmc |
1.21 |
|
535 |
jmc |
1.30 |
C-- Dissipation term outside the Adams-Bashforth: |
536 |
|
|
IF ( momViscosity .AND. .NOT.momDissip_In_AB ) THEN |
537 |
|
|
DO j=jMin,jMax |
538 |
|
|
DO i=iMin,iMax |
539 |
|
|
gW(i,j,k,bi,bj) = gW(i,j,k,bi,bj)+gwDiss(i,j) |
540 |
|
|
ENDDO |
541 |
|
|
ENDDO |
542 |
|
|
ENDIF |
543 |
|
|
|
544 |
jmc |
1.25 |
C- end of the k loop |
545 |
adcroft |
1.4 |
ENDDO |
546 |
|
|
|
547 |
adcroft |
1.1 |
#endif /* ALLOW_NONHYDROSTATIC */ |
548 |
|
|
|
549 |
|
|
RETURN |
550 |
|
|
END |