1 |
heimbach |
1.41 |
C $Header: /u/gcmpack/MITgcm/pkg/mom_fluxform/mom_fluxform.F,v 1.40 2007/10/28 21:38:21 jmc Exp $ |
2 |
adcroft |
1.2 |
C $Name: $ |
3 |
adcroft |
1.1 |
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4 |
adcroft |
1.3 |
CBOI |
5 |
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C !TITLE: pkg/mom\_advdiff |
6 |
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C !AUTHORS: adcroft@mit.edu |
7 |
adcroft |
1.4 |
C !INTRODUCTION: Flux-form Momentum Equations Package |
8 |
adcroft |
1.3 |
C |
9 |
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C Package "mom\_fluxform" provides methods for calculating explicit terms |
10 |
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C in the momentum equation cast in flux-form: |
11 |
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C \begin{eqnarray*} |
12 |
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C G^u & = & -\frac{1}{\rho} \partial_x \phi_h |
13 |
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C -\nabla \cdot {\bf v} u |
14 |
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C -fv |
15 |
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C +\frac{1}{\rho} \nabla \cdot {\bf \tau}^x |
16 |
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C + \mbox{metrics} |
17 |
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C \\ |
18 |
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C G^v & = & -\frac{1}{\rho} \partial_y \phi_h |
19 |
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C -\nabla \cdot {\bf v} v |
20 |
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C +fu |
21 |
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C +\frac{1}{\rho} \nabla \cdot {\bf \tau}^y |
22 |
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C + \mbox{metrics} |
23 |
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C \end{eqnarray*} |
24 |
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C where ${\bf v}=(u,v,w)$ and $\tau$, the stress tensor, includes surface |
25 |
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C stresses as well as internal viscous stresses. |
26 |
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CEOI |
27 |
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28 |
edhill |
1.13 |
#include "MOM_FLUXFORM_OPTIONS.h" |
29 |
adcroft |
1.1 |
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30 |
adcroft |
1.3 |
CBOP |
31 |
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C !ROUTINE: MOM_FLUXFORM |
32 |
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33 |
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C !INTERFACE: ========================================================== |
34 |
jmc |
1.37 |
SUBROUTINE MOM_FLUXFORM( |
35 |
adcroft |
1.1 |
I bi,bj,iMin,iMax,jMin,jMax,k,kUp,kDown, |
36 |
jmc |
1.23 |
I KappaRU, KappaRV, |
37 |
adcroft |
1.1 |
U fVerU, fVerV, |
38 |
jmc |
1.23 |
O guDiss, gvDiss, |
39 |
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I myTime, myIter, myThid) |
40 |
adcroft |
1.3 |
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41 |
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C !DESCRIPTION: |
42 |
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C Calculates all the horizontal accelerations except for the implicit surface |
43 |
jmc |
1.39 |
C pressure gradient and implicit vertical viscosity. |
44 |
adcroft |
1.1 |
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45 |
adcroft |
1.3 |
C !USES: =============================================================== |
46 |
adcroft |
1.1 |
C == Global variables == |
47 |
adcroft |
1.3 |
IMPLICIT NONE |
48 |
adcroft |
1.1 |
#include "SIZE.h" |
49 |
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#include "DYNVARS.h" |
50 |
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#include "FFIELDS.h" |
51 |
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#include "EEPARAMS.h" |
52 |
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#include "PARAMS.h" |
53 |
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#include "GRID.h" |
54 |
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#include "SURFACE.h" |
55 |
jmc |
1.37 |
#ifdef ALLOW_AUTODIFF_TAMC |
56 |
heimbach |
1.35 |
# include "tamc.h" |
57 |
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# include "tamc_keys.h" |
58 |
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# include "MOM_FLUXFORM.h" |
59 |
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#endif |
60 |
adcroft |
1.1 |
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61 |
adcroft |
1.3 |
C !INPUT PARAMETERS: =================================================== |
62 |
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C bi,bj :: tile indices |
63 |
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C iMin,iMax,jMin,jMAx :: loop ranges |
64 |
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C k :: vertical level |
65 |
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C kUp :: =1 or 2 for consecutive k |
66 |
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C kDown :: =2 or 1 for consecutive k |
67 |
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C KappaRU :: vertical viscosity |
68 |
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C KappaRV :: vertical viscosity |
69 |
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C fVerU :: vertical flux of U, 2 1/2 dim for pipe-lining |
70 |
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C fVerV :: vertical flux of V, 2 1/2 dim for pipe-lining |
71 |
jmc |
1.23 |
C guDiss :: dissipation tendency (all explicit terms), u component |
72 |
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C gvDiss :: dissipation tendency (all explicit terms), v component |
73 |
jmc |
1.8 |
C myTime :: current time |
74 |
adcroft |
1.3 |
C myIter :: current time-step number |
75 |
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C myThid :: thread number |
76 |
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INTEGER bi,bj,iMin,iMax,jMin,jMax |
77 |
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INTEGER k,kUp,kDown |
78 |
adcroft |
1.1 |
_RL KappaRU(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
79 |
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_RL KappaRV(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
80 |
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_RL fVerU(1-OLx:sNx+OLx,1-OLy:sNy+OLy,2) |
81 |
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_RL fVerV(1-OLx:sNx+OLx,1-OLy:sNy+OLy,2) |
82 |
jmc |
1.23 |
_RL guDiss(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
83 |
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_RL gvDiss(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
84 |
jmc |
1.8 |
_RL myTime |
85 |
adcroft |
1.2 |
INTEGER myIter |
86 |
adcroft |
1.1 |
INTEGER myThid |
87 |
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88 |
adcroft |
1.3 |
C !OUTPUT PARAMETERS: ================================================== |
89 |
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C None - updates gU() and gV() in common blocks |
90 |
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91 |
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C !LOCAL VARIABLES: ==================================================== |
92 |
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C i,j :: loop indices |
93 |
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C vF :: viscous flux |
94 |
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C v4F :: bi-harmonic viscous flux |
95 |
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C cF :: Coriolis acceleration |
96 |
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C mT :: Metric terms |
97 |
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C fZon :: zonal fluxes |
98 |
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C fMer :: meridional fluxes |
99 |
jmc |
1.23 |
C fVrUp,fVrDw :: vertical viscous fluxes at interface k-1 & k |
100 |
adcroft |
1.3 |
INTEGER i,j |
101 |
jmc |
1.37 |
#ifdef ALLOW_AUTODIFF_TAMC |
102 |
heimbach |
1.35 |
INTEGER imomkey |
103 |
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#endif |
104 |
adcroft |
1.3 |
_RL vF(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
105 |
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_RL v4F(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
106 |
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_RL cF(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
107 |
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_RL mT(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
108 |
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_RL fZon(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
109 |
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_RL fMer(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
110 |
jmc |
1.23 |
_RL fVrUp(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
111 |
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_RL fVrDw(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
112 |
jmc |
1.33 |
C afFacMom :: Tracer parameters for turning terms on and off. |
113 |
jmc |
1.37 |
C vfFacMom |
114 |
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C pfFacMom afFacMom - Advective terms |
115 |
adcroft |
1.1 |
C cfFacMom vfFacMom - Eddy viscosity terms |
116 |
jmc |
1.33 |
C mtFacMom pfFacMom - Pressure terms |
117 |
adcroft |
1.1 |
C cfFacMom - Coriolis terms |
118 |
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C foFacMom - Forcing |
119 |
jmc |
1.33 |
C mtFacMom - Metric term |
120 |
jmc |
1.23 |
C uDudxFac, AhDudxFac, etc ... individual term parameters for switching terms off |
121 |
adcroft |
1.1 |
_RS hFacZ(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
122 |
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_RS r_hFacZ(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
123 |
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_RS xA(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
124 |
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_RS yA(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
125 |
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_RL uTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
126 |
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_RL vTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
127 |
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_RL uFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
128 |
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_RL vFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
129 |
jmc |
1.8 |
_RL rTransU(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
130 |
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_RL rTransV(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
131 |
adcroft |
1.18 |
_RL KE(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
132 |
baylor |
1.25 |
_RL viscAh_D(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
133 |
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_RL viscAh_Z(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
134 |
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_RL viscA4_D(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
135 |
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_RL viscA4_Z(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
136 |
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_RL vort3(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
137 |
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_RL hDiv(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
138 |
adcroft |
1.18 |
_RL strain(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
139 |
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_RL tension(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
140 |
adcroft |
1.1 |
_RL uDudxFac |
141 |
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_RL AhDudxFac |
142 |
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_RL vDudyFac |
143 |
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_RL AhDudyFac |
144 |
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_RL rVelDudrFac |
145 |
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_RL ArDudrFac |
146 |
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_RL fuFac |
147 |
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_RL mtFacU |
148 |
jmc |
1.33 |
_RL mtNHFacU |
149 |
adcroft |
1.1 |
_RL uDvdxFac |
150 |
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_RL AhDvdxFac |
151 |
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_RL vDvdyFac |
152 |
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_RL AhDvdyFac |
153 |
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_RL rVelDvdrFac |
154 |
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_RL ArDvdrFac |
155 |
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_RL fvFac |
156 |
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_RL mtFacV |
157 |
jmc |
1.33 |
_RL mtNHFacV |
158 |
jmc |
1.29 |
_RL sideMaskFac |
159 |
baylor |
1.25 |
LOGICAL bottomDragTerms,harmonic,biharmonic,useVariableViscosity |
160 |
adcroft |
1.3 |
CEOP |
161 |
jmc |
1.40 |
#ifdef MOM_BOUNDARY_CONSERVE |
162 |
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COMMON / MOM_FLUXFORM_LOCAL / uBnd, vBnd |
163 |
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_RL uBnd(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
164 |
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_RL vBnd(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
165 |
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#endif /* MOM_BOUNDARY_CONSERVE */ |
166 |
adcroft |
1.1 |
|
167 |
heimbach |
1.35 |
#ifdef ALLOW_AUTODIFF_TAMC |
168 |
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act0 = k - 1 |
169 |
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max0 = Nr |
170 |
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act1 = bi - myBxLo(myThid) |
171 |
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max1 = myBxHi(myThid) - myBxLo(myThid) + 1 |
172 |
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act2 = bj - myByLo(myThid) |
173 |
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max2 = myByHi(myThid) - myByLo(myThid) + 1 |
174 |
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act3 = myThid - 1 |
175 |
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max3 = nTx*nTy |
176 |
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act4 = ikey_dynamics - 1 |
177 |
jmc |
1.37 |
imomkey = (act0 + 1) |
178 |
heimbach |
1.35 |
& + act1*max0 |
179 |
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& + act2*max0*max1 |
180 |
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& + act3*max0*max1*max2 |
181 |
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& + act4*max0*max1*max2*max3 |
182 |
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#endif /* ALLOW_AUTODIFF_TAMC */ |
183 |
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184 |
adcroft |
1.1 |
C Initialise intermediate terms |
185 |
jmc |
1.23 |
DO j=1-OLy,sNy+OLy |
186 |
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DO i=1-OLx,sNx+OLx |
187 |
adcroft |
1.1 |
vF(i,j) = 0. |
188 |
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v4F(i,j) = 0. |
189 |
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cF(i,j) = 0. |
190 |
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mT(i,j) = 0. |
191 |
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fZon(i,j) = 0. |
192 |
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fMer(i,j) = 0. |
193 |
jmc |
1.23 |
fVrUp(i,j)= 0. |
194 |
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fVrDw(i,j)= 0. |
195 |
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rTransU(i,j)= 0. |
196 |
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rTransV(i,j)= 0. |
197 |
jmc |
1.38 |
c KE(i,j) = 0. |
198 |
heimbach |
1.41 |
hDiv(i,j) = 0. |
199 |
jmc |
1.38 |
vort3(i,j) = 0. |
200 |
adcroft |
1.18 |
strain(i,j) = 0. |
201 |
jmc |
1.23 |
tension(i,j)= 0. |
202 |
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guDiss(i,j) = 0. |
203 |
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gvDiss(i,j) = 0. |
204 |
adcroft |
1.1 |
ENDDO |
205 |
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ENDDO |
206 |
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207 |
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C-- Term by term tracer parmeters |
208 |
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C o U momentum equation |
209 |
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uDudxFac = afFacMom*1. |
210 |
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AhDudxFac = vfFacMom*1. |
211 |
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vDudyFac = afFacMom*1. |
212 |
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AhDudyFac = vfFacMom*1. |
213 |
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rVelDudrFac = afFacMom*1. |
214 |
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ArDudrFac = vfFacMom*1. |
215 |
jmc |
1.33 |
mtFacU = mtFacMom*1. |
216 |
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mtNHFacU = 1. |
217 |
adcroft |
1.1 |
fuFac = cfFacMom*1. |
218 |
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C o V momentum equation |
219 |
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uDvdxFac = afFacMom*1. |
220 |
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AhDvdxFac = vfFacMom*1. |
221 |
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vDvdyFac = afFacMom*1. |
222 |
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AhDvdyFac = vfFacMom*1. |
223 |
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rVelDvdrFac = afFacMom*1. |
224 |
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ArDvdrFac = vfFacMom*1. |
225 |
jmc |
1.33 |
mtFacV = mtFacMom*1. |
226 |
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mtNHFacV = 1. |
227 |
adcroft |
1.1 |
fvFac = cfFacMom*1. |
228 |
jmc |
1.23 |
|
229 |
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IF (implicitViscosity) THEN |
230 |
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ArDudrFac = 0. |
231 |
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ArDvdrFac = 0. |
232 |
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ENDIF |
233 |
adcroft |
1.1 |
|
234 |
jmc |
1.29 |
C note: using standard stencil (no mask) results in under-estimating |
235 |
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C vorticity at a no-slip boundary by a factor of 2 = sideDragFactor |
236 |
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IF ( no_slip_sides ) THEN |
237 |
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sideMaskFac = sideDragFactor |
238 |
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ELSE |
239 |
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sideMaskFac = 0. _d 0 |
240 |
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ENDIF |
241 |
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242 |
adcroft |
1.1 |
IF ( no_slip_bottom |
243 |
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& .OR. bottomDragQuadratic.NE.0. |
244 |
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& .OR. bottomDragLinear.NE.0.) THEN |
245 |
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bottomDragTerms=.TRUE. |
246 |
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ELSE |
247 |
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bottomDragTerms=.FALSE. |
248 |
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ENDIF |
249 |
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250 |
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C-- Calculate open water fraction at vorticity points |
251 |
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CALL MOM_CALC_HFACZ(bi,bj,k,hFacZ,r_hFacZ,myThid) |
252 |
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253 |
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C---- Calculate common quantities used in both U and V equations |
254 |
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C Calculate tracer cell face open areas |
255 |
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DO j=1-OLy,sNy+OLy |
256 |
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DO i=1-OLx,sNx+OLx |
257 |
jmc |
1.39 |
xA(i,j) = _dyG(i,j,bi,bj)*deepFacC(k) |
258 |
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& *drF(k)*_hFacW(i,j,k,bi,bj) |
259 |
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yA(i,j) = _dxG(i,j,bi,bj)*deepFacC(k) |
260 |
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& *drF(k)*_hFacS(i,j,k,bi,bj) |
261 |
adcroft |
1.1 |
ENDDO |
262 |
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ENDDO |
263 |
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264 |
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C Make local copies of horizontal flow field |
265 |
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DO j=1-OLy,sNy+OLy |
266 |
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DO i=1-OLx,sNx+OLx |
267 |
|
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uFld(i,j) = uVel(i,j,k,bi,bj) |
268 |
|
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vFld(i,j) = vVel(i,j,k,bi,bj) |
269 |
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ENDDO |
270 |
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ENDDO |
271 |
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272 |
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C Calculate velocity field "volume transports" through tracer cell faces. |
273 |
jmc |
1.39 |
C anelastic: transports are scaled by rhoFacC (~ mass transport) |
274 |
adcroft |
1.1 |
DO j=1-OLy,sNy+OLy |
275 |
|
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DO i=1-OLx,sNx+OLx |
276 |
jmc |
1.39 |
uTrans(i,j) = uFld(i,j)*xA(i,j)*rhoFacC(k) |
277 |
|
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vTrans(i,j) = vFld(i,j)*yA(i,j)*rhoFacC(k) |
278 |
adcroft |
1.1 |
ENDDO |
279 |
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ENDDO |
280 |
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|
281 |
baylor |
1.25 |
CALL MOM_CALC_KE(bi,bj,k,2,uFld,vFld,KE,myThid) |
282 |
jmc |
1.29 |
IF ( momViscosity) THEN |
283 |
|
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CALL MOM_CALC_HDIV(bi,bj,k,2,uFld,vFld,hDiv,myThid) |
284 |
|
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CALL MOM_CALC_RELVORT3(bi,bj,k,uFld,vFld,hFacZ,vort3,myThid) |
285 |
|
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CALL MOM_CALC_TENSION(bi,bj,k,uFld,vFld,tension,myThid) |
286 |
|
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CALL MOM_CALC_STRAIN(bi,bj,k,uFld,vFld,hFacZ,strain,myThid) |
287 |
|
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DO j=1-Oly,sNy+Oly |
288 |
|
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DO i=1-Olx,sNx+Olx |
289 |
|
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IF ( hFacZ(i,j).EQ.0. ) THEN |
290 |
|
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vort3(i,j) = sideMaskFac*vort3(i,j) |
291 |
|
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strain(i,j) = sideMaskFac*strain(i,j) |
292 |
|
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ENDIF |
293 |
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ENDDO |
294 |
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ENDDO |
295 |
|
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#ifdef ALLOW_DIAGNOSTICS |
296 |
|
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IF ( useDiagnostics ) THEN |
297 |
|
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CALL DIAGNOSTICS_FILL(hDiv, 'momHDiv ',k,1,2,bi,bj,myThid) |
298 |
|
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CALL DIAGNOSTICS_FILL(vort3, 'momVort3',k,1,2,bi,bj,myThid) |
299 |
|
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CALL DIAGNOSTICS_FILL(tension,'Tension ',k,1,2,bi,bj,myThid) |
300 |
|
|
CALL DIAGNOSTICS_FILL(strain, 'Strain ',k,1,2,bi,bj,myThid) |
301 |
|
|
ENDIF |
302 |
|
|
#endif |
303 |
|
|
ENDIF |
304 |
adcroft |
1.18 |
|
305 |
jmc |
1.8 |
C--- First call (k=1): compute vertical adv. flux fVerU(kUp) & fVerV(kUp) |
306 |
|
|
IF (momAdvection.AND.k.EQ.1) THEN |
307 |
|
|
|
308 |
jmc |
1.40 |
#ifdef MOM_BOUNDARY_CONSERVE |
309 |
|
|
CALL MOM_UV_BOUNDARY( bi, bj, k, |
310 |
|
|
I uVel, vVel, |
311 |
|
|
O uBnd(1-OLx,1-OLy,k,bi,bj), |
312 |
|
|
O vBnd(1-OLx,1-OLy,k,bi,bj), |
313 |
|
|
I myTime, myIter, myThid ) |
314 |
|
|
#endif /* MOM_BOUNDARY_CONSERVE */ |
315 |
|
|
|
316 |
jmc |
1.8 |
C- Calculate vertical transports above U & V points (West & South face): |
317 |
heimbach |
1.35 |
|
318 |
|
|
#ifdef ALLOW_AUTODIFF_TAMC |
319 |
heimbach |
1.36 |
# ifdef NONLIN_FRSURF |
320 |
|
|
# ifndef DISABLE_RSTAR_CODE |
321 |
jmc |
1.39 |
CADJ STORE dwtransc(:,:,bi,bj) = |
322 |
heimbach |
1.35 |
CADJ & comlev1_bibj_k, key = imomkey, byte = isbyte |
323 |
jmc |
1.39 |
CADJ STORE dwtransu(:,:,bi,bj) = |
324 |
heimbach |
1.35 |
CADJ & comlev1_bibj_k, key = imomkey, byte = isbyte |
325 |
jmc |
1.39 |
CADJ STORE dwtransv(:,:,bi,bj) = |
326 |
heimbach |
1.35 |
CADJ & comlev1_bibj_k, key = imomkey, byte = isbyte |
327 |
heimbach |
1.36 |
# endif |
328 |
|
|
# endif /* NONLIN_FRSURF */ |
329 |
heimbach |
1.35 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
330 |
jmc |
1.23 |
CALL MOM_CALC_RTRANS( k, bi, bj, |
331 |
|
|
O rTransU, rTransV, |
332 |
|
|
I myTime, myIter, myThid) |
333 |
jmc |
1.8 |
|
334 |
|
|
C- Free surface correction term (flux at k=1) |
335 |
jmc |
1.23 |
CALL MOM_U_ADV_WU( bi,bj,k,uVel,wVel,rTransU, |
336 |
|
|
O fVerU(1-OLx,1-OLy,kUp), myThid ) |
337 |
jmc |
1.8 |
|
338 |
jmc |
1.23 |
CALL MOM_V_ADV_WV( bi,bj,k,vVel,wVel,rTransV, |
339 |
|
|
O fVerV(1-OLx,1-OLy,kUp), myThid ) |
340 |
jmc |
1.8 |
|
341 |
|
|
C--- endif momAdvection & k=1 |
342 |
|
|
ENDIF |
343 |
|
|
|
344 |
|
|
|
345 |
|
|
C--- Calculate vertical transports (at k+1) below U & V points : |
346 |
|
|
IF (momAdvection) THEN |
347 |
jmc |
1.23 |
CALL MOM_CALC_RTRANS( k+1, bi, bj, |
348 |
|
|
O rTransU, rTransV, |
349 |
|
|
I myTime, myIter, myThid) |
350 |
jmc |
1.8 |
ENDIF |
351 |
|
|
|
352 |
jmc |
1.40 |
#ifdef MOM_BOUNDARY_CONSERVE |
353 |
|
|
IF ( momAdvection .AND. k.LT.Nr ) THEN |
354 |
|
|
CALL MOM_UV_BOUNDARY( bi, bj, k+1, |
355 |
|
|
I uVel, vVel, |
356 |
|
|
O uBnd(1-OLx,1-OLy,k+1,bi,bj), |
357 |
|
|
O vBnd(1-OLx,1-OLy,k+1,bi,bj), |
358 |
|
|
I myTime, myIter, myThid ) |
359 |
|
|
ENDIF |
360 |
|
|
#endif /* MOM_BOUNDARY_CONSERVE */ |
361 |
|
|
|
362 |
baylor |
1.25 |
IF (momViscosity) THEN |
363 |
|
|
CALL MOM_CALC_VISC( |
364 |
|
|
I bi,bj,k, |
365 |
|
|
O viscAh_Z,viscAh_D,viscA4_Z,viscA4_D, |
366 |
|
|
O harmonic,biharmonic,useVariableViscosity, |
367 |
jmc |
1.26 |
I hDiv,vort3,tension,strain,KE,hFacZ, |
368 |
baylor |
1.25 |
I myThid) |
369 |
|
|
ENDIF |
370 |
jmc |
1.8 |
|
371 |
jmc |
1.23 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
372 |
|
|
|
373 |
adcroft |
1.1 |
C---- Zonal momentum equation starts here |
374 |
|
|
|
375 |
jmc |
1.23 |
IF (momAdvection) THEN |
376 |
|
|
C--- Calculate mean fluxes (advection) between cells for zonal flow. |
377 |
adcroft |
1.1 |
|
378 |
jmc |
1.40 |
#ifdef MOM_BOUNDARY_CONSERVE |
379 |
|
|
CALL MOM_U_ADV_UU( bi,bj,k,uTrans,uBnd(1-OLx,1-OLy,k,bi,bj), |
380 |
|
|
O fZon,myThid ) |
381 |
|
|
CALL MOM_U_ADV_VU( bi,bj,k,vTrans,uBnd(1-OLx,1-OLy,k,bi,bj), |
382 |
|
|
O fMer,myThid ) |
383 |
|
|
CALL MOM_U_ADV_WU( |
384 |
|
|
I bi,bj,k+1,uBnd,wVel,rTransU, |
385 |
|
|
O fVerU(1-OLx,1-OLy,kDown), myThid ) |
386 |
|
|
#else /* MOM_BOUNDARY_CONSERVE */ |
387 |
adcroft |
1.1 |
C-- Zonal flux (fZon is at east face of "u" cell) |
388 |
jmc |
1.23 |
C Mean flow component of zonal flux -> fZon |
389 |
|
|
CALL MOM_U_ADV_UU(bi,bj,k,uTrans,uFld,fZon,myThid) |
390 |
adcroft |
1.1 |
|
391 |
|
|
C-- Meridional flux (fMer is at south face of "u" cell) |
392 |
jmc |
1.23 |
C Mean flow component of meridional flux -> fMer |
393 |
|
|
CALL MOM_U_ADV_VU(bi,bj,k,vTrans,uFld,fMer,myThid) |
394 |
adcroft |
1.1 |
|
395 |
|
|
C-- Vertical flux (fVer is at upper face of "u" cell) |
396 |
jmc |
1.23 |
C Mean flow component of vertical flux (at k+1) -> fVer |
397 |
|
|
CALL MOM_U_ADV_WU( |
398 |
|
|
I bi,bj,k+1,uVel,wVel,rTransU, |
399 |
|
|
O fVerU(1-OLx,1-OLy,kDown), myThid ) |
400 |
jmc |
1.40 |
#endif /* MOM_BOUNDARY_CONSERVE */ |
401 |
adcroft |
1.1 |
|
402 |
|
|
C-- Tendency is minus divergence of the fluxes + coriolis + pressure term |
403 |
jmc |
1.23 |
DO j=jMin,jMax |
404 |
|
|
DO i=iMin,iMax |
405 |
|
|
gU(i,j,k,bi,bj) = |
406 |
adcroft |
1.1 |
#ifdef OLD_UV_GEOM |
407 |
jmc |
1.23 |
& -_recip_hFacW(i,j,k,bi,bj)*recip_drF(k)/ |
408 |
|
|
& ( 0.5 _d 0*(rA(i,j,bi,bj)+rA(i-1,j,bi,bj)) ) |
409 |
adcroft |
1.1 |
#else |
410 |
jmc |
1.23 |
& -_recip_hFacW(i,j,k,bi,bj)*recip_drF(k) |
411 |
jmc |
1.39 |
& *recip_rAw(i,j,bi,bj)*recip_deepFac2C(k)*recip_rhoFacC(k) |
412 |
adcroft |
1.1 |
#endif |
413 |
jmc |
1.39 |
& *( ( fZon(i,j ) - fZon(i-1,j) )*uDudxFac |
414 |
|
|
& +( fMer(i,j+1) - fMer(i, j) )*vDudyFac |
415 |
|
|
& +(fVerU(i,j,kDown) - fVerU(i,j,kUp))*rkSign*rVelDudrFac |
416 |
jmc |
1.23 |
& ) |
417 |
|
|
ENDDO |
418 |
|
|
ENDDO |
419 |
adcroft |
1.1 |
|
420 |
jmc |
1.24 |
#ifdef ALLOW_DIAGNOSTICS |
421 |
|
|
IF ( useDiagnostics ) THEN |
422 |
|
|
CALL DIAGNOSTICS_FILL(fZon,'ADVx_Um ',k,1,2,bi,bj,myThid) |
423 |
|
|
CALL DIAGNOSTICS_FILL(fMer,'ADVy_Um ',k,1,2,bi,bj,myThid) |
424 |
|
|
CALL DIAGNOSTICS_FILL(fVerU(1-Olx,1-Oly,kUp), |
425 |
|
|
& 'ADVrE_Um',k,1,2,bi,bj,myThid) |
426 |
|
|
ENDIF |
427 |
|
|
#endif |
428 |
|
|
|
429 |
jmc |
1.8 |
#ifdef NONLIN_FRSURF |
430 |
|
|
C-- account for 3.D divergence of the flow in rStar coordinate: |
431 |
heimbach |
1.31 |
# ifndef DISABLE_RSTAR_CODE |
432 |
jmc |
1.23 |
IF ( select_rStar.GT.0 ) THEN |
433 |
|
|
DO j=jMin,jMax |
434 |
|
|
DO i=iMin,iMax |
435 |
|
|
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj) |
436 |
jmc |
1.8 |
& - (rStarExpW(i,j,bi,bj) - 1. _d 0)/deltaTfreesurf |
437 |
|
|
& *uVel(i,j,k,bi,bj) |
438 |
jmc |
1.23 |
ENDDO |
439 |
|
|
ENDDO |
440 |
|
|
ENDIF |
441 |
|
|
IF ( select_rStar.LT.0 ) THEN |
442 |
|
|
DO j=jMin,jMax |
443 |
|
|
DO i=iMin,iMax |
444 |
|
|
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj) |
445 |
|
|
& - rStarDhWDt(i,j,bi,bj)*uVel(i,j,k,bi,bj) |
446 |
|
|
ENDDO |
447 |
|
|
ENDDO |
448 |
|
|
ENDIF |
449 |
heimbach |
1.31 |
# endif /* DISABLE_RSTAR_CODE */ |
450 |
jmc |
1.23 |
#endif /* NONLIN_FRSURF */ |
451 |
|
|
|
452 |
|
|
ELSE |
453 |
|
|
C- if momAdvection / else |
454 |
|
|
DO j=1-OLy,sNy+OLy |
455 |
|
|
DO i=1-OLx,sNx+OLx |
456 |
|
|
gU(i,j,k,bi,bj) = 0. _d 0 |
457 |
|
|
ENDDO |
458 |
jmc |
1.8 |
ENDDO |
459 |
jmc |
1.23 |
|
460 |
|
|
C- endif momAdvection. |
461 |
jmc |
1.8 |
ENDIF |
462 |
jmc |
1.23 |
|
463 |
|
|
IF (momViscosity) THEN |
464 |
|
|
C--- Calculate eddy fluxes (dissipation) between cells for zonal flow. |
465 |
|
|
|
466 |
|
|
C Bi-harmonic term del^2 U -> v4F |
467 |
jmc |
1.37 |
IF (biharmonic) |
468 |
jmc |
1.23 |
& CALL MOM_U_DEL2U(bi,bj,k,uFld,hFacZ,v4f,myThid) |
469 |
|
|
|
470 |
|
|
C Laplacian and bi-harmonic terms, Zonal Fluxes -> fZon |
471 |
baylor |
1.25 |
CALL MOM_U_XVISCFLUX(bi,bj,k,uFld,v4F,fZon, |
472 |
baylor |
1.27 |
I viscAh_D,viscA4_D,myThid) |
473 |
jmc |
1.23 |
|
474 |
|
|
C Laplacian and bi-harmonic termis, Merid Fluxes -> fMer |
475 |
baylor |
1.25 |
CALL MOM_U_YVISCFLUX(bi,bj,k,uFld,v4F,hFacZ,fMer, |
476 |
baylor |
1.27 |
I viscAh_Z,viscA4_Z,myThid) |
477 |
jmc |
1.23 |
|
478 |
|
|
C Eddy component of vertical flux (interior component only) -> fVrUp & fVrDw |
479 |
|
|
IF (.NOT.implicitViscosity) THEN |
480 |
|
|
CALL MOM_U_RVISCFLUX(bi,bj, k, uVel,KappaRU,fVrUp,myThid) |
481 |
|
|
CALL MOM_U_RVISCFLUX(bi,bj,k+1,uVel,KappaRU,fVrDw,myThid) |
482 |
|
|
ENDIF |
483 |
|
|
|
484 |
|
|
C-- Tendency is minus divergence of the fluxes |
485 |
jmc |
1.39 |
C anelastic: hor.visc.fluxes are not scaled by rhoFac (by vert.visc.flx is) |
486 |
jmc |
1.23 |
DO j=jMin,jMax |
487 |
|
|
DO i=iMin,iMax |
488 |
|
|
guDiss(i,j) = |
489 |
|
|
#ifdef OLD_UV_GEOM |
490 |
|
|
& -_recip_hFacW(i,j,k,bi,bj)*recip_drF(k)/ |
491 |
|
|
& ( 0.5 _d 0*(rA(i,j,bi,bj)+rA(i-1,j,bi,bj)) ) |
492 |
|
|
#else |
493 |
|
|
& -_recip_hFacW(i,j,k,bi,bj)*recip_drF(k) |
494 |
jmc |
1.39 |
& *recip_rAw(i,j,bi,bj)*recip_deepFac2C(k) |
495 |
jmc |
1.23 |
#endif |
496 |
jmc |
1.39 |
& *( ( fZon(i,j ) - fZon(i-1,j) )*AhDudxFac |
497 |
|
|
& +( fMer(i,j+1) - fMer(i, j) )*AhDudyFac |
498 |
|
|
& +( fVrDw(i,j) - fVrUp(i,j) )*rkSign*ArDudrFac |
499 |
|
|
& *recip_rhoFacC(k) |
500 |
jmc |
1.23 |
& ) |
501 |
|
|
ENDDO |
502 |
jmc |
1.8 |
ENDDO |
503 |
|
|
|
504 |
jmc |
1.24 |
#ifdef ALLOW_DIAGNOSTICS |
505 |
|
|
IF ( useDiagnostics ) THEN |
506 |
|
|
CALL DIAGNOSTICS_FILL(fZon, 'VISCx_Um',k,1,2,bi,bj,myThid) |
507 |
|
|
CALL DIAGNOSTICS_FILL(fMer, 'VISCy_Um',k,1,2,bi,bj,myThid) |
508 |
|
|
IF (.NOT.implicitViscosity) |
509 |
|
|
& CALL DIAGNOSTICS_FILL(fVrUp,'VISrE_Um',k,1,2,bi,bj,myThid) |
510 |
|
|
ENDIF |
511 |
|
|
#endif |
512 |
|
|
|
513 |
jmc |
1.37 |
C-- No-slip and drag BCs appear as body forces in cell abutting topography |
514 |
jmc |
1.23 |
IF (no_slip_sides) THEN |
515 |
adcroft |
1.1 |
C- No-slip BCs impose a drag at walls... |
516 |
baylor |
1.27 |
CALL MOM_U_SIDEDRAG( |
517 |
|
|
I bi,bj,k, |
518 |
|
|
I uFld, v4f, hFacZ, |
519 |
|
|
I viscAh_Z,viscA4_Z, |
520 |
|
|
I harmonic,biharmonic,useVariableViscosity, |
521 |
|
|
O vF, |
522 |
|
|
I myThid) |
523 |
jmc |
1.23 |
DO j=jMin,jMax |
524 |
|
|
DO i=iMin,iMax |
525 |
|
|
gUdiss(i,j) = gUdiss(i,j) + vF(i,j) |
526 |
|
|
ENDDO |
527 |
|
|
ENDDO |
528 |
|
|
ENDIF |
529 |
adcroft |
1.1 |
C- No-slip BCs impose a drag at bottom |
530 |
jmc |
1.23 |
IF (bottomDragTerms) THEN |
531 |
|
|
CALL MOM_U_BOTTOMDRAG(bi,bj,k,uFld,KE,KappaRU,vF,myThid) |
532 |
|
|
DO j=jMin,jMax |
533 |
|
|
DO i=iMin,iMax |
534 |
|
|
gUdiss(i,j) = gUdiss(i,j) + vF(i,j) |
535 |
|
|
ENDDO |
536 |
|
|
ENDDO |
537 |
|
|
ENDIF |
538 |
|
|
|
539 |
mlosch |
1.32 |
#ifdef ALLOW_SHELFICE |
540 |
|
|
IF (useShelfIce) THEN |
541 |
|
|
CALL SHELFICE_U_DRAG(bi,bj,k,uFld,KE,KappaRU,vF,myThid) |
542 |
|
|
DO j=jMin,jMax |
543 |
|
|
DO i=iMin,iMax |
544 |
|
|
gUdiss(i,j) = gUdiss(i,j) + vF(i,j) |
545 |
|
|
ENDDO |
546 |
|
|
ENDDO |
547 |
|
|
ENDIF |
548 |
|
|
#endif /* ALLOW_SHELFICE */ |
549 |
|
|
|
550 |
jmc |
1.23 |
C- endif momViscosity |
551 |
adcroft |
1.1 |
ENDIF |
552 |
|
|
|
553 |
jmc |
1.12 |
C-- Forcing term (moved to timestep.F) |
554 |
|
|
c IF (momForcing) |
555 |
|
|
c & CALL EXTERNAL_FORCING_U( |
556 |
|
|
c I iMin,iMax,jMin,jMax,bi,bj,k, |
557 |
|
|
c I myTime,myThid) |
558 |
adcroft |
1.1 |
|
559 |
|
|
C-- Metric terms for curvilinear grid systems |
560 |
adcroft |
1.5 |
IF (useNHMTerms) THEN |
561 |
jmc |
1.33 |
C o Non-Hydrostatic (spherical) metric terms |
562 |
adcroft |
1.1 |
CALL MOM_U_METRIC_NH(bi,bj,k,uFld,wVel,mT,myThid) |
563 |
|
|
DO j=jMin,jMax |
564 |
|
|
DO i=iMin,iMax |
565 |
jmc |
1.33 |
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+mtNHFacU*mT(i,j) |
566 |
adcroft |
1.1 |
ENDDO |
567 |
|
|
ENDDO |
568 |
adcroft |
1.5 |
ENDIF |
569 |
jmc |
1.33 |
IF ( usingSphericalPolarGrid .AND. metricTerms ) THEN |
570 |
|
|
C o Spherical polar grid metric terms |
571 |
adcroft |
1.1 |
CALL MOM_U_METRIC_SPHERE(bi,bj,k,uFld,vFld,mT,myThid) |
572 |
|
|
DO j=jMin,jMax |
573 |
|
|
DO i=iMin,iMax |
574 |
jmc |
1.33 |
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+mtFacU*mT(i,j) |
575 |
adcroft |
1.1 |
ENDDO |
576 |
|
|
ENDDO |
577 |
afe |
1.20 |
ENDIF |
578 |
jmc |
1.33 |
IF ( usingCylindricalGrid .AND. metricTerms ) THEN |
579 |
|
|
C o Cylindrical grid metric terms |
580 |
|
|
CALL MOM_U_METRIC_CYLINDER(bi,bj,k,uFld,vFld,mT,myThid) |
581 |
|
|
DO j=jMin,jMax |
582 |
|
|
DO i=iMin,iMax |
583 |
|
|
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+mtFacU*mT(i,j) |
584 |
|
|
ENDDO |
585 |
afe |
1.19 |
ENDDO |
586 |
adcroft |
1.1 |
ENDIF |
587 |
|
|
|
588 |
jmc |
1.23 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
589 |
adcroft |
1.1 |
|
590 |
|
|
C---- Meridional momentum equation starts here |
591 |
|
|
|
592 |
jmc |
1.23 |
IF (momAdvection) THEN |
593 |
jmc |
1.40 |
|
594 |
|
|
#ifdef MOM_BOUNDARY_CONSERVE |
595 |
|
|
CALL MOM_V_ADV_UV( bi,bj,k,uTrans,vBnd(1-OLx,1-OLy,k,bi,bj), |
596 |
|
|
O fZon,myThid ) |
597 |
|
|
CALL MOM_V_ADV_VV( bi,bj,k,vTrans,vBnd(1-OLx,1-OLy,k,bi,bj), |
598 |
|
|
O fMer,myThid ) |
599 |
|
|
CALL MOM_V_ADV_WV( |
600 |
|
|
I bi,bj,k+1,vBnd,wVel,rTransV, |
601 |
|
|
O fVerV(1-OLx,1-OLy,kDown), myThid ) |
602 |
|
|
#else /* MOM_BOUNDARY_CONSERVE */ |
603 |
jmc |
1.23 |
C--- Calculate mean fluxes (advection) between cells for meridional flow. |
604 |
|
|
C Mean flow component of zonal flux -> fZon |
605 |
|
|
CALL MOM_V_ADV_UV(bi,bj,k,uTrans,vFld,fZon,myThid) |
606 |
adcroft |
1.1 |
|
607 |
|
|
C-- Meridional flux (fMer is at north face of "v" cell) |
608 |
jmc |
1.23 |
C Mean flow component of meridional flux -> fMer |
609 |
|
|
CALL MOM_V_ADV_VV(bi,bj,k,vTrans,vFld,fMer,myThid) |
610 |
adcroft |
1.1 |
|
611 |
|
|
C-- Vertical flux (fVer is at upper face of "v" cell) |
612 |
jmc |
1.23 |
C Mean flow component of vertical flux (at k+1) -> fVerV |
613 |
|
|
CALL MOM_V_ADV_WV( |
614 |
|
|
I bi,bj,k+1,vVel,wVel,rTransV, |
615 |
|
|
O fVerV(1-OLx,1-OLy,kDown), myThid ) |
616 |
jmc |
1.40 |
#endif /* MOM_BOUNDARY_CONSERVE */ |
617 |
adcroft |
1.1 |
|
618 |
|
|
C-- Tendency is minus divergence of the fluxes + coriolis + pressure term |
619 |
jmc |
1.23 |
DO j=jMin,jMax |
620 |
|
|
DO i=iMin,iMax |
621 |
|
|
gV(i,j,k,bi,bj) = |
622 |
adcroft |
1.1 |
#ifdef OLD_UV_GEOM |
623 |
jmc |
1.23 |
& -_recip_hFacS(i,j,k,bi,bj)*recip_drF(k)/ |
624 |
|
|
& ( 0.5 _d 0*(_rA(i,j,bi,bj)+_rA(i,j-1,bi,bj)) ) |
625 |
adcroft |
1.1 |
#else |
626 |
jmc |
1.23 |
& -_recip_hFacS(i,j,k,bi,bj)*recip_drF(k) |
627 |
jmc |
1.39 |
& *recip_rAs(i,j,bi,bj)*recip_deepFac2C(k)*recip_rhoFacC(k) |
628 |
adcroft |
1.1 |
#endif |
629 |
jmc |
1.39 |
& *( ( fZon(i+1,j) - fZon(i,j ) )*uDvdxFac |
630 |
|
|
& +( fMer(i, j) - fMer(i,j-1) )*vDvdyFac |
631 |
|
|
& +(fVerV(i,j,kDown) - fVerV(i,j,kUp))*rkSign*rVelDvdrFac |
632 |
jmc |
1.23 |
& ) |
633 |
jmc |
1.24 |
ENDDO |
634 |
|
|
ENDDO |
635 |
|
|
|
636 |
|
|
#ifdef ALLOW_DIAGNOSTICS |
637 |
|
|
IF ( useDiagnostics ) THEN |
638 |
|
|
CALL DIAGNOSTICS_FILL(fZon,'ADVx_Vm ',k,1,2,bi,bj,myThid) |
639 |
|
|
CALL DIAGNOSTICS_FILL(fMer,'ADVy_Vm ',k,1,2,bi,bj,myThid) |
640 |
|
|
CALL DIAGNOSTICS_FILL(fVerV(1-Olx,1-Oly,kUp), |
641 |
|
|
& 'ADVrE_Vm',k,1,2,bi,bj,myThid) |
642 |
|
|
ENDIF |
643 |
|
|
#endif |
644 |
adcroft |
1.1 |
|
645 |
jmc |
1.8 |
#ifdef NONLIN_FRSURF |
646 |
|
|
C-- account for 3.D divergence of the flow in rStar coordinate: |
647 |
heimbach |
1.31 |
# ifndef DISABLE_RSTAR_CODE |
648 |
jmc |
1.23 |
IF ( select_rStar.GT.0 ) THEN |
649 |
|
|
DO j=jMin,jMax |
650 |
|
|
DO i=iMin,iMax |
651 |
|
|
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj) |
652 |
jmc |
1.8 |
& - (rStarExpS(i,j,bi,bj) - 1. _d 0)/deltaTfreesurf |
653 |
|
|
& *vVel(i,j,k,bi,bj) |
654 |
jmc |
1.23 |
ENDDO |
655 |
|
|
ENDDO |
656 |
|
|
ENDIF |
657 |
|
|
IF ( select_rStar.LT.0 ) THEN |
658 |
|
|
DO j=jMin,jMax |
659 |
|
|
DO i=iMin,iMax |
660 |
|
|
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj) |
661 |
|
|
& - rStarDhSDt(i,j,bi,bj)*vVel(i,j,k,bi,bj) |
662 |
|
|
ENDDO |
663 |
|
|
ENDDO |
664 |
|
|
ENDIF |
665 |
heimbach |
1.31 |
# endif /* DISABLE_RSTAR_CODE */ |
666 |
jmc |
1.23 |
#endif /* NONLIN_FRSURF */ |
667 |
|
|
|
668 |
|
|
ELSE |
669 |
|
|
C- if momAdvection / else |
670 |
|
|
DO j=1-OLy,sNy+OLy |
671 |
|
|
DO i=1-OLx,sNx+OLx |
672 |
|
|
gV(i,j,k,bi,bj) = 0. _d 0 |
673 |
|
|
ENDDO |
674 |
jmc |
1.8 |
ENDDO |
675 |
jmc |
1.23 |
|
676 |
|
|
C- endif momAdvection. |
677 |
jmc |
1.8 |
ENDIF |
678 |
jmc |
1.23 |
|
679 |
|
|
IF (momViscosity) THEN |
680 |
|
|
C--- Calculate eddy fluxes (dissipation) between cells for meridional flow. |
681 |
|
|
C Bi-harmonic term del^2 V -> v4F |
682 |
jmc |
1.37 |
IF (biharmonic) |
683 |
jmc |
1.23 |
& CALL MOM_V_DEL2V(bi,bj,k,vFld,hFacZ,v4f,myThid) |
684 |
|
|
|
685 |
|
|
C Laplacian and bi-harmonic terms, Zonal Fluxes -> fZon |
686 |
baylor |
1.25 |
CALL MOM_V_XVISCFLUX(bi,bj,k,vFld,v4f,hFacZ,fZon, |
687 |
baylor |
1.27 |
I viscAh_Z,viscA4_Z,myThid) |
688 |
jmc |
1.23 |
|
689 |
|
|
C Laplacian and bi-harmonic termis, Merid Fluxes -> fMer |
690 |
baylor |
1.25 |
CALL MOM_V_YVISCFLUX(bi,bj,k,vFld,v4f,fMer, |
691 |
baylor |
1.27 |
I viscAh_D,viscA4_D,myThid) |
692 |
jmc |
1.23 |
|
693 |
|
|
C Eddy component of vertical flux (interior component only) -> fVrUp & fVrDw |
694 |
|
|
IF (.NOT.implicitViscosity) THEN |
695 |
|
|
CALL MOM_V_RVISCFLUX(bi,bj, k, vVel,KappaRV,fVrUp,myThid) |
696 |
|
|
CALL MOM_V_RVISCFLUX(bi,bj,k+1,vVel,KappaRV,fVrDw,myThid) |
697 |
|
|
ENDIF |
698 |
|
|
|
699 |
|
|
C-- Tendency is minus divergence of the fluxes + coriolis + pressure term |
700 |
jmc |
1.39 |
C anelastic: hor.visc.fluxes are not scaled by rhoFac (by vert.visc.flx is) |
701 |
jmc |
1.23 |
DO j=jMin,jMax |
702 |
|
|
DO i=iMin,iMax |
703 |
|
|
gvDiss(i,j) = |
704 |
|
|
#ifdef OLD_UV_GEOM |
705 |
|
|
& -_recip_hFacS(i,j,k,bi,bj)*recip_drF(k)/ |
706 |
|
|
& ( 0.5 _d 0*(_rA(i,j,bi,bj)+_rA(i,j-1,bi,bj)) ) |
707 |
|
|
#else |
708 |
|
|
& -_recip_hFacS(i,j,k,bi,bj)*recip_drF(k) |
709 |
jmc |
1.39 |
& *recip_rAs(i,j,bi,bj)*recip_deepFac2C(k) |
710 |
jmc |
1.23 |
#endif |
711 |
jmc |
1.39 |
& *( ( fZon(i+1,j) - fZon(i,j ) )*AhDvdxFac |
712 |
|
|
& +( fMer(i, j) - fMer(i,j-1) )*AhDvdyFac |
713 |
|
|
& +( fVrDw(i,j) - fVrUp(i,j) )*rkSign*ArDvdrFac |
714 |
|
|
& *recip_rhoFacC(k) |
715 |
jmc |
1.23 |
& ) |
716 |
|
|
ENDDO |
717 |
jmc |
1.8 |
ENDDO |
718 |
|
|
|
719 |
jmc |
1.24 |
#ifdef ALLOW_DIAGNOSTICS |
720 |
|
|
IF ( useDiagnostics ) THEN |
721 |
|
|
CALL DIAGNOSTICS_FILL(fZon, 'VISCx_Vm',k,1,2,bi,bj,myThid) |
722 |
|
|
CALL DIAGNOSTICS_FILL(fMer, 'VISCy_Vm',k,1,2,bi,bj,myThid) |
723 |
|
|
IF (.NOT.implicitViscosity) |
724 |
|
|
& CALL DIAGNOSTICS_FILL(fVrUp,'VISrE_Vm',k,1,2,bi,bj,myThid) |
725 |
|
|
ENDIF |
726 |
|
|
#endif |
727 |
|
|
|
728 |
jmc |
1.37 |
C-- No-slip and drag BCs appear as body forces in cell abutting topography |
729 |
mlosch |
1.32 |
IF (no_slip_sides) THEN |
730 |
adcroft |
1.1 |
C- No-slip BCs impose a drag at walls... |
731 |
baylor |
1.27 |
CALL MOM_V_SIDEDRAG( |
732 |
|
|
I bi,bj,k, |
733 |
|
|
I vFld, v4f, hFacZ, |
734 |
|
|
I viscAh_Z,viscA4_Z, |
735 |
|
|
I harmonic,biharmonic,useVariableViscosity, |
736 |
|
|
O vF, |
737 |
|
|
I myThid) |
738 |
jmc |
1.23 |
DO j=jMin,jMax |
739 |
|
|
DO i=iMin,iMax |
740 |
|
|
gvDiss(i,j) = gvDiss(i,j) + vF(i,j) |
741 |
|
|
ENDDO |
742 |
|
|
ENDDO |
743 |
|
|
ENDIF |
744 |
adcroft |
1.1 |
C- No-slip BCs impose a drag at bottom |
745 |
jmc |
1.23 |
IF (bottomDragTerms) THEN |
746 |
|
|
CALL MOM_V_BOTTOMDRAG(bi,bj,k,vFld,KE,KappaRV,vF,myThid) |
747 |
|
|
DO j=jMin,jMax |
748 |
|
|
DO i=iMin,iMax |
749 |
|
|
gvDiss(i,j) = gvDiss(i,j) + vF(i,j) |
750 |
|
|
ENDDO |
751 |
|
|
ENDDO |
752 |
|
|
ENDIF |
753 |
|
|
|
754 |
mlosch |
1.32 |
#ifdef ALLOW_SHELFICE |
755 |
|
|
IF (useShelfIce) THEN |
756 |
|
|
CALL SHELFICE_V_DRAG(bi,bj,k,vFld,KE,KappaRU,vF,myThid) |
757 |
|
|
DO j=jMin,jMax |
758 |
|
|
DO i=iMin,iMax |
759 |
|
|
gvDiss(i,j) = gvDiss(i,j) + vF(i,j) |
760 |
|
|
ENDDO |
761 |
|
|
ENDDO |
762 |
|
|
ENDIF |
763 |
|
|
#endif /* ALLOW_SHELFICE */ |
764 |
|
|
|
765 |
jmc |
1.23 |
C- endif momViscosity |
766 |
adcroft |
1.1 |
ENDIF |
767 |
|
|
|
768 |
jmc |
1.12 |
C-- Forcing term (moved to timestep.F) |
769 |
|
|
c IF (momForcing) |
770 |
|
|
c & CALL EXTERNAL_FORCING_V( |
771 |
|
|
c I iMin,iMax,jMin,jMax,bi,bj,k, |
772 |
|
|
c I myTime,myThid) |
773 |
adcroft |
1.1 |
|
774 |
|
|
C-- Metric terms for curvilinear grid systems |
775 |
adcroft |
1.5 |
IF (useNHMTerms) THEN |
776 |
jmc |
1.33 |
C o Non-Hydrostatic (spherical) metric terms |
777 |
adcroft |
1.1 |
CALL MOM_V_METRIC_NH(bi,bj,k,vFld,wVel,mT,myThid) |
778 |
|
|
DO j=jMin,jMax |
779 |
|
|
DO i=iMin,iMax |
780 |
jmc |
1.33 |
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)+mtNHFacV*mT(i,j) |
781 |
adcroft |
1.1 |
ENDDO |
782 |
|
|
ENDDO |
783 |
adcroft |
1.5 |
ENDIF |
784 |
jmc |
1.33 |
IF ( usingSphericalPolarGrid .AND. metricTerms ) THEN |
785 |
|
|
C o Spherical polar grid metric terms |
786 |
adcroft |
1.1 |
CALL MOM_V_METRIC_SPHERE(bi,bj,k,uFld,mT,myThid) |
787 |
|
|
DO j=jMin,jMax |
788 |
|
|
DO i=iMin,iMax |
789 |
jmc |
1.33 |
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)+mtFacV*mT(i,j) |
790 |
adcroft |
1.1 |
ENDDO |
791 |
|
|
ENDDO |
792 |
|
|
ENDIF |
793 |
jmc |
1.33 |
IF ( usingCylindricalGrid .AND. metricTerms ) THEN |
794 |
|
|
C o Cylindrical grid metric terms |
795 |
|
|
CALL MOM_V_METRIC_CYLINDER(bi,bj,k,uFld,vFld,mT,myThid) |
796 |
|
|
DO j=jMin,jMax |
797 |
|
|
DO i=iMin,iMax |
798 |
|
|
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)+mtFacV*mT(i,j) |
799 |
|
|
ENDDO |
800 |
|
|
ENDDO |
801 |
afe |
1.19 |
ENDIF |
802 |
adcroft |
1.1 |
|
803 |
jmc |
1.23 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
804 |
adcroft |
1.1 |
|
805 |
|
|
C-- Coriolis term |
806 |
|
|
C Note. As coded here, coriolis will not work with "thin walls" |
807 |
jmc |
1.12 |
c IF (useCDscheme) THEN |
808 |
|
|
c CALL MOM_CDSCHEME(bi,bj,k,dPhiHydX,dPhiHydY,myThid) |
809 |
|
|
c ELSE |
810 |
|
|
IF (.NOT.useCDscheme) THEN |
811 |
|
|
CALL MOM_U_CORIOLIS(bi,bj,k,vFld,cf,myThid) |
812 |
|
|
DO j=jMin,jMax |
813 |
|
|
DO i=iMin,iMax |
814 |
|
|
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+fuFac*cf(i,j) |
815 |
|
|
ENDDO |
816 |
|
|
ENDDO |
817 |
jmc |
1.24 |
#ifdef ALLOW_DIAGNOSTICS |
818 |
|
|
IF ( useDiagnostics ) |
819 |
|
|
& CALL DIAGNOSTICS_FILL(cf,'Um_Cori ',k,1,2,bi,bj,myThid) |
820 |
|
|
#endif |
821 |
jmc |
1.12 |
CALL MOM_V_CORIOLIS(bi,bj,k,uFld,cf,myThid) |
822 |
|
|
DO j=jMin,jMax |
823 |
|
|
DO i=iMin,iMax |
824 |
|
|
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)+fvFac*cf(i,j) |
825 |
|
|
ENDDO |
826 |
|
|
ENDDO |
827 |
jmc |
1.24 |
#ifdef ALLOW_DIAGNOSTICS |
828 |
|
|
IF ( useDiagnostics ) |
829 |
|
|
& CALL DIAGNOSTICS_FILL(cf,'Vm_Cori ',k,1,2,bi,bj,myThid) |
830 |
|
|
#endif |
831 |
jmc |
1.12 |
ENDIF |
832 |
|
|
|
833 |
jmc |
1.34 |
C-- 3.D Coriolis term (horizontal momentum, Eastward component: -f'*w) |
834 |
jmc |
1.37 |
IF ( use3dCoriolis ) THEN |
835 |
jmc |
1.34 |
CALL MOM_U_CORIOLIS_NH(bi,bj,k,wVel,cf,myThid) |
836 |
|
|
DO j=jMin,jMax |
837 |
|
|
DO i=iMin,iMax |
838 |
|
|
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+fuFac*cf(i,j) |
839 |
|
|
ENDDO |
840 |
|
|
ENDDO |
841 |
|
|
IF ( usingCurvilinearGrid ) THEN |
842 |
|
|
C- presently, non zero angleSinC array only supported with Curvilinear-Grid |
843 |
|
|
CALL MOM_V_CORIOLIS_NH(bi,bj,k,wVel,cf,myThid) |
844 |
|
|
DO j=jMin,jMax |
845 |
|
|
DO i=iMin,iMax |
846 |
|
|
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)+fvFac*cf(i,j) |
847 |
|
|
ENDDO |
848 |
adcroft |
1.6 |
ENDDO |
849 |
jmc |
1.34 |
ENDIF |
850 |
adcroft |
1.6 |
ENDIF |
851 |
adcroft |
1.1 |
|
852 |
jmc |
1.23 |
C-- Set du/dt & dv/dt on boundaries to zero |
853 |
|
|
DO j=jMin,jMax |
854 |
|
|
DO i=iMin,iMax |
855 |
|
|
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)*_maskW(i,j,k,bi,bj) |
856 |
|
|
guDiss(i,j) = guDiss(i,j) *_maskW(i,j,k,bi,bj) |
857 |
|
|
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)*_maskS(i,j,k,bi,bj) |
858 |
|
|
gvDiss(i,j) = gvDiss(i,j) *_maskS(i,j,k,bi,bj) |
859 |
|
|
ENDDO |
860 |
|
|
ENDDO |
861 |
|
|
|
862 |
jmc |
1.24 |
#ifdef ALLOW_DIAGNOSTICS |
863 |
|
|
IF ( useDiagnostics ) THEN |
864 |
baylor |
1.28 |
CALL DIAGNOSTICS_FILL(KE, 'momKE ',k,1,2,bi,bj,myThid) |
865 |
jmc |
1.24 |
CALL DIAGNOSTICS_FILL(gU(1-Olx,1-Oly,k,bi,bj), |
866 |
|
|
& 'Um_Advec',k,1,2,bi,bj,myThid) |
867 |
|
|
CALL DIAGNOSTICS_FILL(gV(1-Olx,1-Oly,k,bi,bj), |
868 |
|
|
& 'Vm_Advec',k,1,2,bi,bj,myThid) |
869 |
|
|
IF (momViscosity) THEN |
870 |
|
|
CALL DIAGNOSTICS_FILL(guDiss,'Um_Diss ',k,1,2,bi,bj,myThid) |
871 |
|
|
CALL DIAGNOSTICS_FILL(gvDiss,'Vm_Diss ',k,1,2,bi,bj,myThid) |
872 |
|
|
ENDIF |
873 |
|
|
ENDIF |
874 |
|
|
#endif /* ALLOW_DIAGNOSTICS */ |
875 |
|
|
|
876 |
adcroft |
1.1 |
RETURN |
877 |
|
|
END |