1 |
jmc |
1.24 |
C $Header: /u/gcmpack/MITgcm/pkg/mom_fluxform/mom_fluxform.F,v 1.23 2005/07/30 22:07:00 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: |
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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 |
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C -fv |
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C +\frac{1}{\rho} \nabla \cdot {\bf \tau}^x |
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C + \mbox{metrics} |
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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} |
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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" |
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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: ========================================================== |
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adcroft |
1.1 |
SUBROUTINE MOM_FLUXFORM( |
35 |
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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 |
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C pressure gradient and implciit vertical viscosity. |
44 |
adcroft |
1.1 |
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adcroft |
1.3 |
C !USES: =============================================================== |
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adcroft |
1.1 |
C == Global variables == |
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adcroft |
1.3 |
IMPLICIT NONE |
48 |
adcroft |
1.1 |
#include "SIZE.h" |
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#include "DYNVARS.h" |
50 |
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#include "FFIELDS.h" |
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#include "EEPARAMS.h" |
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#include "PARAMS.h" |
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#include "GRID.h" |
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#include "SURFACE.h" |
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adcroft |
1.3 |
C !INPUT PARAMETERS: =================================================== |
57 |
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C bi,bj :: tile indices |
58 |
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C iMin,iMax,jMin,jMAx :: loop ranges |
59 |
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C k :: vertical level |
60 |
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C kUp :: =1 or 2 for consecutive k |
61 |
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C kDown :: =2 or 1 for consecutive k |
62 |
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C KappaRU :: vertical viscosity |
63 |
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C KappaRV :: vertical viscosity |
64 |
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C fVerU :: vertical flux of U, 2 1/2 dim for pipe-lining |
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C fVerV :: vertical flux of V, 2 1/2 dim for pipe-lining |
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jmc |
1.23 |
C guDiss :: dissipation tendency (all explicit terms), u component |
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C gvDiss :: dissipation tendency (all explicit terms), v component |
68 |
jmc |
1.8 |
C myTime :: current time |
69 |
adcroft |
1.3 |
C myIter :: current time-step number |
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C myThid :: thread number |
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INTEGER bi,bj,iMin,iMax,jMin,jMax |
72 |
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INTEGER k,kUp,kDown |
73 |
adcroft |
1.1 |
_RL KappaRU(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
74 |
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_RL KappaRV(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL fVerU(1-OLx:sNx+OLx,1-OLy:sNy+OLy,2) |
76 |
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_RL fVerV(1-OLx:sNx+OLx,1-OLy:sNy+OLy,2) |
77 |
jmc |
1.23 |
_RL guDiss(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
78 |
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_RL gvDiss(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
79 |
jmc |
1.8 |
_RL myTime |
80 |
adcroft |
1.2 |
INTEGER myIter |
81 |
adcroft |
1.1 |
INTEGER myThid |
82 |
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adcroft |
1.3 |
C !OUTPUT PARAMETERS: ================================================== |
84 |
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C None - updates gU() and gV() in common blocks |
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C !LOCAL VARIABLES: ==================================================== |
87 |
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C i,j :: loop indices |
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C vF :: viscous flux |
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C v4F :: bi-harmonic viscous flux |
90 |
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C cF :: Coriolis acceleration |
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C mT :: Metric terms |
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C fZon :: zonal fluxes |
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C fMer :: meridional fluxes |
94 |
jmc |
1.23 |
C fVrUp,fVrDw :: vertical viscous fluxes at interface k-1 & k |
95 |
adcroft |
1.3 |
INTEGER i,j |
96 |
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_RL vF(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
97 |
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_RL v4F(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
98 |
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_RL cF(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL mT(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL fZon(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
101 |
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_RL fMer(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
102 |
jmc |
1.23 |
_RL fVrUp(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
103 |
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_RL fVrDw(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
104 |
adcroft |
1.1 |
C afFacMom - Tracer parameters for turning terms |
105 |
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C vfFacMom on and off. |
106 |
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C pfFacMom afFacMom - Advective terms |
107 |
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C cfFacMom vfFacMom - Eddy viscosity terms |
108 |
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C mTFacMom pfFacMom - Pressure terms |
109 |
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C cfFacMom - Coriolis terms |
110 |
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C foFacMom - Forcing |
111 |
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C mTFacMom - Metric term |
112 |
jmc |
1.23 |
C uDudxFac, AhDudxFac, etc ... individual term parameters for switching terms off |
113 |
adcroft |
1.1 |
_RS hFacZ(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
114 |
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_RS r_hFacZ(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
115 |
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_RS xA(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
116 |
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_RS yA(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
117 |
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_RL uTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
118 |
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_RL vTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
119 |
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_RL uFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
120 |
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_RL vFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
121 |
jmc |
1.8 |
_RL rTransU(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
122 |
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_RL rTransV(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
123 |
adcroft |
1.18 |
_RL KE(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
124 |
jmc |
1.21 |
c _RL viscAh_D(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
125 |
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c _RL viscAh_Z(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
126 |
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c _RL viscA4_D(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
127 |
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c _RL viscA4_Z(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
128 |
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c _RL vort3(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
129 |
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c _RL hDiv(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
130 |
adcroft |
1.18 |
_RL strain(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
131 |
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_RL tension(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
132 |
adcroft |
1.1 |
_RL uDudxFac |
133 |
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_RL AhDudxFac |
134 |
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_RL vDudyFac |
135 |
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_RL AhDudyFac |
136 |
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_RL rVelDudrFac |
137 |
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_RL ArDudrFac |
138 |
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_RL fuFac |
139 |
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_RL mtFacU |
140 |
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_RL uDvdxFac |
141 |
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_RL AhDvdxFac |
142 |
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_RL vDvdyFac |
143 |
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_RL AhDvdyFac |
144 |
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_RL rVelDvdrFac |
145 |
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_RL ArDvdrFac |
146 |
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_RL fvFac |
147 |
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_RL mtFacV |
148 |
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LOGICAL bottomDragTerms |
149 |
adcroft |
1.3 |
CEOP |
150 |
adcroft |
1.1 |
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151 |
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C Initialise intermediate terms |
152 |
jmc |
1.23 |
DO j=1-OLy,sNy+OLy |
153 |
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DO i=1-OLx,sNx+OLx |
154 |
adcroft |
1.1 |
vF(i,j) = 0. |
155 |
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v4F(i,j) = 0. |
156 |
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cF(i,j) = 0. |
157 |
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mT(i,j) = 0. |
158 |
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fZon(i,j) = 0. |
159 |
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fMer(i,j) = 0. |
160 |
jmc |
1.23 |
fVrUp(i,j)= 0. |
161 |
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fVrDw(i,j)= 0. |
162 |
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rTransU(i,j)= 0. |
163 |
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rTransV(i,j)= 0. |
164 |
adcroft |
1.18 |
strain(i,j) = 0. |
165 |
jmc |
1.23 |
tension(i,j)= 0. |
166 |
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guDiss(i,j) = 0. |
167 |
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gvDiss(i,j) = 0. |
168 |
adcroft |
1.1 |
ENDDO |
169 |
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ENDDO |
170 |
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171 |
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C-- Term by term tracer parmeters |
172 |
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C o U momentum equation |
173 |
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uDudxFac = afFacMom*1. |
174 |
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AhDudxFac = vfFacMom*1. |
175 |
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vDudyFac = afFacMom*1. |
176 |
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AhDudyFac = vfFacMom*1. |
177 |
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rVelDudrFac = afFacMom*1. |
178 |
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ArDudrFac = vfFacMom*1. |
179 |
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mTFacU = mtFacMom*1. |
180 |
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fuFac = cfFacMom*1. |
181 |
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C o V momentum equation |
182 |
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uDvdxFac = afFacMom*1. |
183 |
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AhDvdxFac = vfFacMom*1. |
184 |
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vDvdyFac = afFacMom*1. |
185 |
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AhDvdyFac = vfFacMom*1. |
186 |
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rVelDvdrFac = afFacMom*1. |
187 |
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ArDvdrFac = vfFacMom*1. |
188 |
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mTFacV = mtFacMom*1. |
189 |
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fvFac = cfFacMom*1. |
190 |
jmc |
1.23 |
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191 |
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IF (implicitViscosity) THEN |
192 |
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ArDudrFac = 0. |
193 |
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ArDvdrFac = 0. |
194 |
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ENDIF |
195 |
adcroft |
1.1 |
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196 |
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IF ( no_slip_bottom |
197 |
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& .OR. bottomDragQuadratic.NE.0. |
198 |
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& .OR. bottomDragLinear.NE.0.) THEN |
199 |
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bottomDragTerms=.TRUE. |
200 |
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ELSE |
201 |
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bottomDragTerms=.FALSE. |
202 |
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ENDIF |
203 |
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204 |
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C-- Calculate open water fraction at vorticity points |
205 |
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CALL MOM_CALC_HFACZ(bi,bj,k,hFacZ,r_hFacZ,myThid) |
206 |
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207 |
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C---- Calculate common quantities used in both U and V equations |
208 |
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C Calculate tracer cell face open areas |
209 |
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DO j=1-OLy,sNy+OLy |
210 |
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DO i=1-OLx,sNx+OLx |
211 |
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xA(i,j) = _dyG(i,j,bi,bj) |
212 |
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& *drF(k)*_hFacW(i,j,k,bi,bj) |
213 |
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yA(i,j) = _dxG(i,j,bi,bj) |
214 |
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& *drF(k)*_hFacS(i,j,k,bi,bj) |
215 |
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ENDDO |
216 |
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ENDDO |
217 |
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218 |
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C Make local copies of horizontal flow field |
219 |
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DO j=1-OLy,sNy+OLy |
220 |
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DO i=1-OLx,sNx+OLx |
221 |
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uFld(i,j) = uVel(i,j,k,bi,bj) |
222 |
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vFld(i,j) = vVel(i,j,k,bi,bj) |
223 |
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ENDDO |
224 |
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ENDDO |
225 |
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226 |
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C Calculate velocity field "volume transports" through tracer cell faces. |
227 |
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DO j=1-OLy,sNy+OLy |
228 |
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DO i=1-OLx,sNx+OLx |
229 |
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uTrans(i,j) = uFld(i,j)*xA(i,j) |
230 |
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vTrans(i,j) = vFld(i,j)*yA(i,j) |
231 |
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ENDDO |
232 |
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ENDDO |
233 |
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234 |
jmc |
1.23 |
IF (bottomDragTerms) THEN |
235 |
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CALL MOM_CALC_KE(bi,bj,k,3,uFld,vFld,KE,myThid) |
236 |
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ENDIF |
237 |
adcroft |
1.1 |
|
238 |
jmc |
1.21 |
IF (viscAstrain.NE.0. .OR. viscAtension.NE.0.) THEN |
239 |
adcroft |
1.18 |
CALL MOM_CALC_TENSION(bi,bj,k,uFld,vFld, |
240 |
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O tension, |
241 |
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I myThid) |
242 |
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CALL MOM_CALC_STRAIN(bi,bj,k,uFld,vFld,hFacZ, |
243 |
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O strain, |
244 |
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I myThid) |
245 |
jmc |
1.21 |
ENDIF |
246 |
adcroft |
1.18 |
|
247 |
jmc |
1.8 |
C--- First call (k=1): compute vertical adv. flux fVerU(kUp) & fVerV(kUp) |
248 |
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IF (momAdvection.AND.k.EQ.1) THEN |
249 |
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250 |
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C- Calculate vertical transports above U & V points (West & South face): |
251 |
jmc |
1.23 |
CALL MOM_CALC_RTRANS( k, bi, bj, |
252 |
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O rTransU, rTransV, |
253 |
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I myTime, myIter, myThid) |
254 |
jmc |
1.8 |
|
255 |
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C- Free surface correction term (flux at k=1) |
256 |
jmc |
1.23 |
CALL MOM_U_ADV_WU( bi,bj,k,uVel,wVel,rTransU, |
257 |
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O fVerU(1-OLx,1-OLy,kUp), myThid ) |
258 |
jmc |
1.8 |
|
259 |
jmc |
1.23 |
CALL MOM_V_ADV_WV( bi,bj,k,vVel,wVel,rTransV, |
260 |
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O fVerV(1-OLx,1-OLy,kUp), myThid ) |
261 |
jmc |
1.8 |
|
262 |
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C--- endif momAdvection & k=1 |
263 |
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ENDIF |
264 |
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265 |
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266 |
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C--- Calculate vertical transports (at k+1) below U & V points : |
267 |
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IF (momAdvection) THEN |
268 |
jmc |
1.23 |
CALL MOM_CALC_RTRANS( k+1, bi, bj, |
269 |
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O rTransU, rTransV, |
270 |
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I myTime, myIter, myThid) |
271 |
jmc |
1.8 |
ENDIF |
272 |
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273 |
adcroft |
1.18 |
c IF (momViscosity) THEN |
274 |
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c & CALL MOM_CALC_VISCOSITY(bi,bj,k, |
275 |
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c I uFld,vFld, |
276 |
jmc |
1.21 |
c O viscAh_D,viscAh_Z,myThid) |
277 |
jmc |
1.8 |
|
278 |
jmc |
1.23 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
279 |
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280 |
adcroft |
1.1 |
C---- Zonal momentum equation starts here |
281 |
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282 |
jmc |
1.23 |
IF (momAdvection) THEN |
283 |
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C--- Calculate mean fluxes (advection) between cells for zonal flow. |
284 |
adcroft |
1.1 |
|
285 |
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C-- Zonal flux (fZon is at east face of "u" cell) |
286 |
jmc |
1.23 |
C Mean flow component of zonal flux -> fZon |
287 |
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CALL MOM_U_ADV_UU(bi,bj,k,uTrans,uFld,fZon,myThid) |
288 |
adcroft |
1.1 |
|
289 |
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C-- Meridional flux (fMer is at south face of "u" cell) |
290 |
jmc |
1.23 |
C Mean flow component of meridional flux -> fMer |
291 |
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CALL MOM_U_ADV_VU(bi,bj,k,vTrans,uFld,fMer,myThid) |
292 |
adcroft |
1.1 |
|
293 |
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C-- Vertical flux (fVer is at upper face of "u" cell) |
294 |
jmc |
1.23 |
C Mean flow component of vertical flux (at k+1) -> fVer |
295 |
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CALL MOM_U_ADV_WU( |
296 |
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I bi,bj,k+1,uVel,wVel,rTransU, |
297 |
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O fVerU(1-OLx,1-OLy,kDown), myThid ) |
298 |
adcroft |
1.1 |
|
299 |
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C-- Tendency is minus divergence of the fluxes + coriolis + pressure term |
300 |
jmc |
1.23 |
DO j=jMin,jMax |
301 |
|
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DO i=iMin,iMax |
302 |
|
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gU(i,j,k,bi,bj) = |
303 |
adcroft |
1.1 |
#ifdef OLD_UV_GEOM |
304 |
jmc |
1.23 |
& -_recip_hFacW(i,j,k,bi,bj)*recip_drF(k)/ |
305 |
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& ( 0.5 _d 0*(rA(i,j,bi,bj)+rA(i-1,j,bi,bj)) ) |
306 |
adcroft |
1.1 |
#else |
307 |
jmc |
1.23 |
& -_recip_hFacW(i,j,k,bi,bj)*recip_drF(k) |
308 |
|
|
& *recip_rAw(i,j,bi,bj) |
309 |
adcroft |
1.1 |
#endif |
310 |
jmc |
1.23 |
& *( ( fZon(i,j ) - fZon(i-1,j) )*uDudxFac |
311 |
|
|
& +( fMer(i,j+1) - fMer(i, j) )*vDudyFac |
312 |
|
|
& +(fVerU(i,j,kDown) - fVerU(i,j,kUp))*rkSign*rVelDudrFac |
313 |
|
|
& ) |
314 |
|
|
ENDDO |
315 |
|
|
ENDDO |
316 |
adcroft |
1.1 |
|
317 |
jmc |
1.24 |
#ifdef ALLOW_DIAGNOSTICS |
318 |
|
|
IF ( useDiagnostics ) THEN |
319 |
|
|
CALL DIAGNOSTICS_FILL(fZon,'ADVx_Um ',k,1,2,bi,bj,myThid) |
320 |
|
|
CALL DIAGNOSTICS_FILL(fMer,'ADVy_Um ',k,1,2,bi,bj,myThid) |
321 |
|
|
CALL DIAGNOSTICS_FILL(fVerU(1-Olx,1-Oly,kUp), |
322 |
|
|
& 'ADVrE_Um',k,1,2,bi,bj,myThid) |
323 |
|
|
ENDIF |
324 |
|
|
#endif |
325 |
|
|
|
326 |
jmc |
1.8 |
#ifdef NONLIN_FRSURF |
327 |
|
|
C-- account for 3.D divergence of the flow in rStar coordinate: |
328 |
jmc |
1.23 |
IF ( select_rStar.GT.0 ) THEN |
329 |
|
|
DO j=jMin,jMax |
330 |
|
|
DO i=iMin,iMax |
331 |
|
|
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj) |
332 |
jmc |
1.8 |
& - (rStarExpW(i,j,bi,bj) - 1. _d 0)/deltaTfreesurf |
333 |
|
|
& *uVel(i,j,k,bi,bj) |
334 |
jmc |
1.23 |
ENDDO |
335 |
|
|
ENDDO |
336 |
|
|
ENDIF |
337 |
|
|
IF ( select_rStar.LT.0 ) THEN |
338 |
|
|
DO j=jMin,jMax |
339 |
|
|
DO i=iMin,iMax |
340 |
|
|
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj) |
341 |
|
|
& - rStarDhWDt(i,j,bi,bj)*uVel(i,j,k,bi,bj) |
342 |
|
|
ENDDO |
343 |
|
|
ENDDO |
344 |
|
|
ENDIF |
345 |
|
|
#endif /* NONLIN_FRSURF */ |
346 |
|
|
|
347 |
|
|
ELSE |
348 |
|
|
C- if momAdvection / else |
349 |
|
|
DO j=1-OLy,sNy+OLy |
350 |
|
|
DO i=1-OLx,sNx+OLx |
351 |
|
|
gU(i,j,k,bi,bj) = 0. _d 0 |
352 |
|
|
ENDDO |
353 |
jmc |
1.8 |
ENDDO |
354 |
jmc |
1.23 |
|
355 |
|
|
C- endif momAdvection. |
356 |
jmc |
1.8 |
ENDIF |
357 |
jmc |
1.23 |
|
358 |
|
|
IF (momViscosity) THEN |
359 |
|
|
C--- Calculate eddy fluxes (dissipation) between cells for zonal flow. |
360 |
|
|
|
361 |
|
|
C Bi-harmonic term del^2 U -> v4F |
362 |
|
|
IF ( viscA4.NE.0. ) |
363 |
|
|
& CALL MOM_U_DEL2U(bi,bj,k,uFld,hFacZ,v4f,myThid) |
364 |
|
|
|
365 |
|
|
C Laplacian and bi-harmonic terms, Zonal Fluxes -> fZon |
366 |
|
|
CALL MOM_U_XVISCFLUX(bi,bj,k,uFld,v4F,fZon,myThid) |
367 |
|
|
|
368 |
|
|
C Laplacian and bi-harmonic termis, Merid Fluxes -> fMer |
369 |
|
|
CALL MOM_U_YVISCFLUX(bi,bj,k,uFld,v4F,hFacZ,fMer,myThid) |
370 |
|
|
|
371 |
|
|
C Eddy component of vertical flux (interior component only) -> fVrUp & fVrDw |
372 |
|
|
IF (.NOT.implicitViscosity) THEN |
373 |
|
|
CALL MOM_U_RVISCFLUX(bi,bj, k, uVel,KappaRU,fVrUp,myThid) |
374 |
|
|
CALL MOM_U_RVISCFLUX(bi,bj,k+1,uVel,KappaRU,fVrDw,myThid) |
375 |
|
|
ENDIF |
376 |
|
|
|
377 |
|
|
C-- Tendency is minus divergence of the fluxes |
378 |
|
|
DO j=jMin,jMax |
379 |
|
|
DO i=iMin,iMax |
380 |
|
|
guDiss(i,j) = |
381 |
|
|
#ifdef OLD_UV_GEOM |
382 |
|
|
& -_recip_hFacW(i,j,k,bi,bj)*recip_drF(k)/ |
383 |
|
|
& ( 0.5 _d 0*(rA(i,j,bi,bj)+rA(i-1,j,bi,bj)) ) |
384 |
|
|
#else |
385 |
|
|
& -_recip_hFacW(i,j,k,bi,bj)*recip_drF(k) |
386 |
|
|
& *recip_rAw(i,j,bi,bj) |
387 |
|
|
#endif |
388 |
|
|
& *( ( fZon(i,j ) - fZon(i-1,j) )*AhDudxFac |
389 |
|
|
& +( fMer(i,j+1) - fMer(i, j) )*AhDudyFac |
390 |
|
|
& +( fVrDw(i,j) - fVrUp(i,j) )*rkSign*ArDudrFac |
391 |
|
|
& ) |
392 |
|
|
ENDDO |
393 |
jmc |
1.8 |
ENDDO |
394 |
|
|
|
395 |
jmc |
1.24 |
#ifdef ALLOW_DIAGNOSTICS |
396 |
|
|
IF ( useDiagnostics ) THEN |
397 |
|
|
CALL DIAGNOSTICS_FILL(fZon, 'VISCx_Um',k,1,2,bi,bj,myThid) |
398 |
|
|
CALL DIAGNOSTICS_FILL(fMer, 'VISCy_Um',k,1,2,bi,bj,myThid) |
399 |
|
|
IF (.NOT.implicitViscosity) |
400 |
|
|
& CALL DIAGNOSTICS_FILL(fVrUp,'VISrE_Um',k,1,2,bi,bj,myThid) |
401 |
|
|
ENDIF |
402 |
|
|
#endif |
403 |
|
|
|
404 |
adcroft |
1.1 |
C-- No-slip and drag BCs appear as body forces in cell abutting topography |
405 |
jmc |
1.23 |
IF (no_slip_sides) THEN |
406 |
adcroft |
1.1 |
C- No-slip BCs impose a drag at walls... |
407 |
jmc |
1.23 |
CALL MOM_U_SIDEDRAG(bi,bj,k,uFld,v4F,hFacZ,vF,myThid) |
408 |
|
|
DO j=jMin,jMax |
409 |
|
|
DO i=iMin,iMax |
410 |
|
|
gUdiss(i,j) = gUdiss(i,j) + vF(i,j) |
411 |
|
|
ENDDO |
412 |
|
|
ENDDO |
413 |
|
|
ENDIF |
414 |
adcroft |
1.1 |
C- No-slip BCs impose a drag at bottom |
415 |
jmc |
1.23 |
IF (bottomDragTerms) THEN |
416 |
|
|
CALL MOM_U_BOTTOMDRAG(bi,bj,k,uFld,KE,KappaRU,vF,myThid) |
417 |
|
|
DO j=jMin,jMax |
418 |
|
|
DO i=iMin,iMax |
419 |
|
|
gUdiss(i,j) = gUdiss(i,j) + vF(i,j) |
420 |
|
|
ENDDO |
421 |
|
|
ENDDO |
422 |
|
|
ENDIF |
423 |
|
|
|
424 |
|
|
C- endif momViscosity |
425 |
adcroft |
1.1 |
ENDIF |
426 |
|
|
|
427 |
jmc |
1.12 |
C-- Forcing term (moved to timestep.F) |
428 |
|
|
c IF (momForcing) |
429 |
|
|
c & CALL EXTERNAL_FORCING_U( |
430 |
|
|
c I iMin,iMax,jMin,jMax,bi,bj,k, |
431 |
|
|
c I myTime,myThid) |
432 |
adcroft |
1.1 |
|
433 |
|
|
C-- Metric terms for curvilinear grid systems |
434 |
adcroft |
1.5 |
IF (useNHMTerms) THEN |
435 |
|
|
C o Non-hydrosatic metric terms |
436 |
adcroft |
1.1 |
CALL MOM_U_METRIC_NH(bi,bj,k,uFld,wVel,mT,myThid) |
437 |
|
|
DO j=jMin,jMax |
438 |
|
|
DO i=iMin,iMax |
439 |
|
|
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+mTFacU*mT(i,j) |
440 |
|
|
ENDDO |
441 |
|
|
ENDDO |
442 |
adcroft |
1.5 |
ENDIF |
443 |
|
|
IF (usingSphericalPolarMTerms) THEN |
444 |
adcroft |
1.1 |
CALL MOM_U_METRIC_SPHERE(bi,bj,k,uFld,vFld,mT,myThid) |
445 |
|
|
DO j=jMin,jMax |
446 |
|
|
DO i=iMin,iMax |
447 |
|
|
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+mTFacU*mT(i,j) |
448 |
|
|
ENDDO |
449 |
|
|
ENDDO |
450 |
afe |
1.20 |
ENDIF |
451 |
afe |
1.19 |
IF (usingCylindricalGrid) THEN |
452 |
|
|
CALL MOM_U_METRIC_CYLINDER(bi,bj,k,uFld,vFld,mT,myThid) |
453 |
|
|
DO j=jMin,jMax |
454 |
|
|
DO i=iMin,iMax |
455 |
|
|
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+mTFacU*mT(i,j) |
456 |
|
|
ENDDO |
457 |
|
|
ENDDO |
458 |
adcroft |
1.1 |
ENDIF |
459 |
|
|
|
460 |
jmc |
1.23 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
461 |
adcroft |
1.1 |
|
462 |
|
|
C---- Meridional momentum equation starts here |
463 |
|
|
|
464 |
jmc |
1.23 |
IF (momAdvection) THEN |
465 |
|
|
C--- Calculate mean fluxes (advection) between cells for meridional flow. |
466 |
|
|
C Mean flow component of zonal flux -> fZon |
467 |
|
|
CALL MOM_V_ADV_UV(bi,bj,k,uTrans,vFld,fZon,myThid) |
468 |
adcroft |
1.1 |
|
469 |
|
|
C-- Meridional flux (fMer is at north face of "v" cell) |
470 |
jmc |
1.23 |
C Mean flow component of meridional flux -> fMer |
471 |
|
|
CALL MOM_V_ADV_VV(bi,bj,k,vTrans,vFld,fMer,myThid) |
472 |
adcroft |
1.1 |
|
473 |
|
|
C-- Vertical flux (fVer is at upper face of "v" cell) |
474 |
jmc |
1.23 |
C Mean flow component of vertical flux (at k+1) -> fVerV |
475 |
|
|
CALL MOM_V_ADV_WV( |
476 |
|
|
I bi,bj,k+1,vVel,wVel,rTransV, |
477 |
|
|
O fVerV(1-OLx,1-OLy,kDown), myThid ) |
478 |
adcroft |
1.1 |
|
479 |
|
|
C-- Tendency is minus divergence of the fluxes + coriolis + pressure term |
480 |
jmc |
1.23 |
DO j=jMin,jMax |
481 |
|
|
DO i=iMin,iMax |
482 |
|
|
gV(i,j,k,bi,bj) = |
483 |
adcroft |
1.1 |
#ifdef OLD_UV_GEOM |
484 |
jmc |
1.23 |
& -_recip_hFacS(i,j,k,bi,bj)*recip_drF(k)/ |
485 |
|
|
& ( 0.5 _d 0*(_rA(i,j,bi,bj)+_rA(i,j-1,bi,bj)) ) |
486 |
adcroft |
1.1 |
#else |
487 |
jmc |
1.23 |
& -_recip_hFacS(i,j,k,bi,bj)*recip_drF(k) |
488 |
|
|
& *recip_rAs(i,j,bi,bj) |
489 |
adcroft |
1.1 |
#endif |
490 |
jmc |
1.23 |
& *( ( fZon(i+1,j) - fZon(i,j ) )*uDvdxFac |
491 |
|
|
& +( fMer(i, j) - fMer(i,j-1) )*vDvdyFac |
492 |
|
|
& +(fVerV(i,j,kDown) - fVerV(i,j,kUp))*rkSign*rVelDvdrFac |
493 |
|
|
& ) |
494 |
jmc |
1.24 |
ENDDO |
495 |
|
|
ENDDO |
496 |
|
|
|
497 |
|
|
#ifdef ALLOW_DIAGNOSTICS |
498 |
|
|
IF ( useDiagnostics ) THEN |
499 |
|
|
CALL DIAGNOSTICS_FILL(fZon,'ADVx_Vm ',k,1,2,bi,bj,myThid) |
500 |
|
|
CALL DIAGNOSTICS_FILL(fMer,'ADVy_Vm ',k,1,2,bi,bj,myThid) |
501 |
|
|
CALL DIAGNOSTICS_FILL(fVerV(1-Olx,1-Oly,kUp), |
502 |
|
|
& 'ADVrE_Vm',k,1,2,bi,bj,myThid) |
503 |
|
|
ENDIF |
504 |
|
|
#endif |
505 |
adcroft |
1.1 |
|
506 |
jmc |
1.8 |
#ifdef NONLIN_FRSURF |
507 |
|
|
C-- account for 3.D divergence of the flow in rStar coordinate: |
508 |
jmc |
1.23 |
IF ( select_rStar.GT.0 ) THEN |
509 |
|
|
DO j=jMin,jMax |
510 |
|
|
DO i=iMin,iMax |
511 |
|
|
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj) |
512 |
jmc |
1.8 |
& - (rStarExpS(i,j,bi,bj) - 1. _d 0)/deltaTfreesurf |
513 |
|
|
& *vVel(i,j,k,bi,bj) |
514 |
jmc |
1.23 |
ENDDO |
515 |
|
|
ENDDO |
516 |
|
|
ENDIF |
517 |
|
|
IF ( select_rStar.LT.0 ) THEN |
518 |
|
|
DO j=jMin,jMax |
519 |
|
|
DO i=iMin,iMax |
520 |
|
|
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj) |
521 |
|
|
& - rStarDhSDt(i,j,bi,bj)*vVel(i,j,k,bi,bj) |
522 |
|
|
ENDDO |
523 |
|
|
ENDDO |
524 |
|
|
ENDIF |
525 |
|
|
#endif /* NONLIN_FRSURF */ |
526 |
|
|
|
527 |
|
|
ELSE |
528 |
|
|
C- if momAdvection / else |
529 |
|
|
DO j=1-OLy,sNy+OLy |
530 |
|
|
DO i=1-OLx,sNx+OLx |
531 |
|
|
gV(i,j,k,bi,bj) = 0. _d 0 |
532 |
|
|
ENDDO |
533 |
jmc |
1.8 |
ENDDO |
534 |
jmc |
1.23 |
|
535 |
|
|
C- endif momAdvection. |
536 |
jmc |
1.8 |
ENDIF |
537 |
jmc |
1.23 |
|
538 |
|
|
IF (momViscosity) THEN |
539 |
|
|
C--- Calculate eddy fluxes (dissipation) between cells for meridional flow. |
540 |
|
|
C Bi-harmonic term del^2 V -> v4F |
541 |
|
|
IF ( viscA4.NE.0. ) |
542 |
|
|
& CALL MOM_V_DEL2V(bi,bj,k,vFld,hFacZ,v4f,myThid) |
543 |
|
|
|
544 |
|
|
C Laplacian and bi-harmonic terms, Zonal Fluxes -> fZon |
545 |
|
|
CALL MOM_V_XVISCFLUX(bi,bj,k,vFld,v4f,hFacZ,fZon,myThid) |
546 |
|
|
|
547 |
|
|
C Laplacian and bi-harmonic termis, Merid Fluxes -> fMer |
548 |
|
|
CALL MOM_V_YVISCFLUX(bi,bj,k,vFld,v4f,fMer,myThid) |
549 |
|
|
|
550 |
|
|
C Eddy component of vertical flux (interior component only) -> fVrUp & fVrDw |
551 |
|
|
IF (.NOT.implicitViscosity) THEN |
552 |
|
|
CALL MOM_V_RVISCFLUX(bi,bj, k, vVel,KappaRV,fVrUp,myThid) |
553 |
|
|
CALL MOM_V_RVISCFLUX(bi,bj,k+1,vVel,KappaRV,fVrDw,myThid) |
554 |
|
|
ENDIF |
555 |
|
|
|
556 |
|
|
C-- Tendency is minus divergence of the fluxes + coriolis + pressure term |
557 |
|
|
DO j=jMin,jMax |
558 |
|
|
DO i=iMin,iMax |
559 |
|
|
gvDiss(i,j) = |
560 |
|
|
#ifdef OLD_UV_GEOM |
561 |
|
|
& -_recip_hFacS(i,j,k,bi,bj)*recip_drF(k)/ |
562 |
|
|
& ( 0.5 _d 0*(_rA(i,j,bi,bj)+_rA(i,j-1,bi,bj)) ) |
563 |
|
|
#else |
564 |
|
|
& -_recip_hFacS(i,j,k,bi,bj)*recip_drF(k) |
565 |
|
|
& *recip_rAs(i,j,bi,bj) |
566 |
|
|
#endif |
567 |
|
|
& *( ( fZon(i+1,j) - fZon(i,j ) )*AhDvdxFac |
568 |
|
|
& +( fMer(i, j) - fMer(i,j-1) )*AhDvdyFac |
569 |
|
|
& +( fVrDw(i,j) - fVrUp(i,j) )*rkSign*ArDvdrFac |
570 |
|
|
& ) |
571 |
|
|
ENDDO |
572 |
jmc |
1.8 |
ENDDO |
573 |
|
|
|
574 |
jmc |
1.24 |
#ifdef ALLOW_DIAGNOSTICS |
575 |
|
|
IF ( useDiagnostics ) THEN |
576 |
|
|
CALL DIAGNOSTICS_FILL(fZon, 'VISCx_Vm',k,1,2,bi,bj,myThid) |
577 |
|
|
CALL DIAGNOSTICS_FILL(fMer, 'VISCy_Vm',k,1,2,bi,bj,myThid) |
578 |
|
|
IF (.NOT.implicitViscosity) |
579 |
|
|
& CALL DIAGNOSTICS_FILL(fVrUp,'VISrE_Vm',k,1,2,bi,bj,myThid) |
580 |
|
|
ENDIF |
581 |
|
|
#endif |
582 |
|
|
|
583 |
adcroft |
1.1 |
C-- No-slip and drag BCs appear as body forces in cell abutting topography |
584 |
jmc |
1.23 |
IF (no_slip_sides) THEN |
585 |
adcroft |
1.1 |
C- No-slip BCs impose a drag at walls... |
586 |
jmc |
1.23 |
CALL MOM_V_SIDEDRAG(bi,bj,k,vFld,v4F,hFacZ,vF,myThid) |
587 |
|
|
DO j=jMin,jMax |
588 |
|
|
DO i=iMin,iMax |
589 |
|
|
gvDiss(i,j) = gvDiss(i,j) + vF(i,j) |
590 |
|
|
ENDDO |
591 |
|
|
ENDDO |
592 |
|
|
ENDIF |
593 |
adcroft |
1.1 |
C- No-slip BCs impose a drag at bottom |
594 |
jmc |
1.23 |
IF (bottomDragTerms) THEN |
595 |
|
|
CALL MOM_V_BOTTOMDRAG(bi,bj,k,vFld,KE,KappaRV,vF,myThid) |
596 |
|
|
DO j=jMin,jMax |
597 |
|
|
DO i=iMin,iMax |
598 |
|
|
gvDiss(i,j) = gvDiss(i,j) + vF(i,j) |
599 |
|
|
ENDDO |
600 |
|
|
ENDDO |
601 |
|
|
ENDIF |
602 |
|
|
|
603 |
|
|
C- endif momViscosity |
604 |
adcroft |
1.1 |
ENDIF |
605 |
|
|
|
606 |
jmc |
1.12 |
C-- Forcing term (moved to timestep.F) |
607 |
|
|
c IF (momForcing) |
608 |
|
|
c & CALL EXTERNAL_FORCING_V( |
609 |
|
|
c I iMin,iMax,jMin,jMax,bi,bj,k, |
610 |
|
|
c I myTime,myThid) |
611 |
adcroft |
1.1 |
|
612 |
|
|
C-- Metric terms for curvilinear grid systems |
613 |
adcroft |
1.5 |
IF (useNHMTerms) THEN |
614 |
adcroft |
1.1 |
C o Spherical polar grid metric terms |
615 |
|
|
CALL MOM_V_METRIC_NH(bi,bj,k,vFld,wVel,mT,myThid) |
616 |
|
|
DO j=jMin,jMax |
617 |
|
|
DO i=iMin,iMax |
618 |
|
|
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)+mTFacV*mT(i,j) |
619 |
|
|
ENDDO |
620 |
|
|
ENDDO |
621 |
adcroft |
1.5 |
ENDIF |
622 |
|
|
IF (usingSphericalPolarMTerms) THEN |
623 |
adcroft |
1.1 |
CALL MOM_V_METRIC_SPHERE(bi,bj,k,uFld,mT,myThid) |
624 |
|
|
DO j=jMin,jMax |
625 |
|
|
DO i=iMin,iMax |
626 |
|
|
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)+mTFacV*mT(i,j) |
627 |
|
|
ENDDO |
628 |
|
|
ENDDO |
629 |
|
|
ENDIF |
630 |
afe |
1.19 |
IF (usingCylindricalGrid) THEN |
631 |
|
|
CALL MOM_V_METRIC_CYLINDER(bi,bj,k,uFld,vFld,mT,myThid) |
632 |
|
|
DO j=jMin,jMax |
633 |
|
|
DO i=iMin,iMax |
634 |
|
|
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)+mTFacV*mT(i,j) |
635 |
|
|
ENDDO |
636 |
|
|
ENDDO |
637 |
|
|
ENDIF |
638 |
adcroft |
1.1 |
|
639 |
jmc |
1.23 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
640 |
adcroft |
1.1 |
|
641 |
|
|
C-- Coriolis term |
642 |
|
|
C Note. As coded here, coriolis will not work with "thin walls" |
643 |
jmc |
1.12 |
c IF (useCDscheme) THEN |
644 |
|
|
c CALL MOM_CDSCHEME(bi,bj,k,dPhiHydX,dPhiHydY,myThid) |
645 |
|
|
c ELSE |
646 |
|
|
IF (.NOT.useCDscheme) THEN |
647 |
|
|
CALL MOM_U_CORIOLIS(bi,bj,k,vFld,cf,myThid) |
648 |
|
|
DO j=jMin,jMax |
649 |
|
|
DO i=iMin,iMax |
650 |
|
|
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+fuFac*cf(i,j) |
651 |
|
|
ENDDO |
652 |
|
|
ENDDO |
653 |
jmc |
1.24 |
#ifdef ALLOW_DIAGNOSTICS |
654 |
|
|
IF ( useDiagnostics ) |
655 |
|
|
& CALL DIAGNOSTICS_FILL(cf,'Um_Cori ',k,1,2,bi,bj,myThid) |
656 |
|
|
#endif |
657 |
jmc |
1.12 |
CALL MOM_V_CORIOLIS(bi,bj,k,uFld,cf,myThid) |
658 |
|
|
DO j=jMin,jMax |
659 |
|
|
DO i=iMin,iMax |
660 |
|
|
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)+fvFac*cf(i,j) |
661 |
|
|
ENDDO |
662 |
|
|
ENDDO |
663 |
jmc |
1.24 |
#ifdef ALLOW_DIAGNOSTICS |
664 |
|
|
IF ( useDiagnostics ) |
665 |
|
|
& CALL DIAGNOSTICS_FILL(cf,'Vm_Cori ',k,1,2,bi,bj,myThid) |
666 |
|
|
#endif |
667 |
jmc |
1.12 |
ENDIF |
668 |
|
|
|
669 |
adcroft |
1.7 |
IF (nonHydrostatic.OR.quasiHydrostatic) THEN |
670 |
adcroft |
1.6 |
CALL MOM_U_CORIOLIS_NH(bi,bj,k,wVel,cf,myThid) |
671 |
|
|
DO j=jMin,jMax |
672 |
|
|
DO i=iMin,iMax |
673 |
|
|
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+fuFac*cf(i,j) |
674 |
|
|
ENDDO |
675 |
|
|
ENDDO |
676 |
|
|
ENDIF |
677 |
adcroft |
1.1 |
|
678 |
jmc |
1.23 |
C-- Set du/dt & dv/dt on boundaries to zero |
679 |
|
|
DO j=jMin,jMax |
680 |
|
|
DO i=iMin,iMax |
681 |
|
|
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)*_maskW(i,j,k,bi,bj) |
682 |
|
|
guDiss(i,j) = guDiss(i,j) *_maskW(i,j,k,bi,bj) |
683 |
|
|
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)*_maskS(i,j,k,bi,bj) |
684 |
|
|
gvDiss(i,j) = gvDiss(i,j) *_maskS(i,j,k,bi,bj) |
685 |
|
|
ENDDO |
686 |
|
|
ENDDO |
687 |
|
|
|
688 |
jmc |
1.24 |
#ifdef ALLOW_DIAGNOSTICS |
689 |
|
|
IF ( useDiagnostics ) THEN |
690 |
|
|
IF (bottomDragTerms) |
691 |
|
|
& CALL DIAGNOSTICS_FILL(KE, 'momKE ',k,1,2,bi,bj,myThid) |
692 |
|
|
CALL DIAGNOSTICS_FILL(gU(1-Olx,1-Oly,k,bi,bj), |
693 |
|
|
& 'Um_Advec',k,1,2,bi,bj,myThid) |
694 |
|
|
CALL DIAGNOSTICS_FILL(gV(1-Olx,1-Oly,k,bi,bj), |
695 |
|
|
& 'Vm_Advec',k,1,2,bi,bj,myThid) |
696 |
|
|
IF (momViscosity) THEN |
697 |
|
|
CALL DIAGNOSTICS_FILL(guDiss,'Um_Diss ',k,1,2,bi,bj,myThid) |
698 |
|
|
CALL DIAGNOSTICS_FILL(gvDiss,'Vm_Diss ',k,1,2,bi,bj,myThid) |
699 |
|
|
ENDIF |
700 |
|
|
ENDIF |
701 |
|
|
#endif /* ALLOW_DIAGNOSTICS */ |
702 |
|
|
|
703 |
adcroft |
1.1 |
RETURN |
704 |
|
|
END |