1 |
heimbach |
1.30 |
C $Header: /u/gcmpack/MITgcm/pkg/mom_fluxform/mom_fluxform.F,v 1.29 2005/10/12 01:10:10 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 |
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adcroft |
1.4 |
C !INTRODUCTION: Flux-form Momentum Equations Package |
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adcroft |
1.3 |
C |
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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*} |
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C G^u & = & -\frac{1}{\rho} \partial_x \phi_h |
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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 \\ |
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C G^v & = & -\frac{1}{\rho} \partial_y \phi_h |
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C -\nabla \cdot {\bf v} v |
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C +fu |
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C +\frac{1}{\rho} \nabla \cdot {\bf \tau}^y |
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C + \mbox{metrics} |
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C \end{eqnarray*} |
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C where ${\bf v}=(u,v,w)$ and $\tau$, the stress tensor, includes surface |
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C stresses as well as internal viscous stresses. |
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CEOI |
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28 |
edhill |
1.13 |
#include "MOM_FLUXFORM_OPTIONS.h" |
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adcroft |
1.1 |
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adcroft |
1.3 |
CBOP |
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C !ROUTINE: MOM_FLUXFORM |
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C !INTERFACE: ========================================================== |
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adcroft |
1.1 |
SUBROUTINE MOM_FLUXFORM( |
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I bi,bj,iMin,iMax,jMin,jMax,k,kUp,kDown, |
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jmc |
1.23 |
I KappaRU, KappaRV, |
37 |
adcroft |
1.1 |
U fVerU, fVerV, |
38 |
jmc |
1.23 |
O guDiss, gvDiss, |
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I myTime, myIter, myThid) |
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adcroft |
1.3 |
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C !DESCRIPTION: |
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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. |
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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 |
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adcroft |
1.1 |
#include "SIZE.h" |
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#include "DYNVARS.h" |
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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: =================================================== |
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C bi,bj :: tile indices |
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C iMin,iMax,jMin,jMAx :: loop ranges |
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C k :: vertical level |
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C kUp :: =1 or 2 for consecutive k |
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C kDown :: =2 or 1 for consecutive k |
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C KappaRU :: vertical viscosity |
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C KappaRV :: vertical viscosity |
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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 |
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jmc |
1.8 |
C myTime :: current time |
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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 |
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INTEGER k,kUp,kDown |
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adcroft |
1.1 |
_RL KappaRU(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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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) |
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_RL fVerV(1-OLx:sNx+OLx,1-OLy:sNy+OLy,2) |
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jmc |
1.23 |
_RL guDiss(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL gvDiss(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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jmc |
1.8 |
_RL myTime |
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adcroft |
1.2 |
INTEGER myIter |
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adcroft |
1.1 |
INTEGER myThid |
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adcroft |
1.3 |
C !OUTPUT PARAMETERS: ================================================== |
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C None - updates gU() and gV() in common blocks |
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C !LOCAL VARIABLES: ==================================================== |
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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 |
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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 |
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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) |
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_RL v4F(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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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) |
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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) |
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_RL fVrDw(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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adcroft |
1.1 |
C afFacMom - Tracer parameters for turning terms |
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C vfFacMom on and off. |
106 |
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C pfFacMom afFacMom - Advective terms |
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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) |
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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 |
baylor |
1.25 |
_RL viscAh_D(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
125 |
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_RL viscAh_Z(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
126 |
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_RL viscA4_D(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
127 |
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_RL viscA4_Z(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
128 |
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_RL vort3(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
129 |
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_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 |
jmc |
1.29 |
_RL sideMaskFac |
149 |
baylor |
1.25 |
LOGICAL bottomDragTerms,harmonic,biharmonic,useVariableViscosity |
150 |
adcroft |
1.3 |
CEOP |
151 |
adcroft |
1.1 |
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152 |
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C Initialise intermediate terms |
153 |
jmc |
1.23 |
DO j=1-OLy,sNy+OLy |
154 |
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DO i=1-OLx,sNx+OLx |
155 |
adcroft |
1.1 |
vF(i,j) = 0. |
156 |
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v4F(i,j) = 0. |
157 |
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cF(i,j) = 0. |
158 |
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mT(i,j) = 0. |
159 |
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fZon(i,j) = 0. |
160 |
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fMer(i,j) = 0. |
161 |
jmc |
1.23 |
fVrUp(i,j)= 0. |
162 |
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fVrDw(i,j)= 0. |
163 |
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rTransU(i,j)= 0. |
164 |
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rTransV(i,j)= 0. |
165 |
adcroft |
1.18 |
strain(i,j) = 0. |
166 |
jmc |
1.23 |
tension(i,j)= 0. |
167 |
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guDiss(i,j) = 0. |
168 |
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gvDiss(i,j) = 0. |
169 |
heimbach |
1.30 |
#ifdef ALLOW_AUTODIFF_TAMC |
170 |
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vort3(i,j) = 0. _d 0 |
171 |
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strain(i,j) = 0. _d 0 |
172 |
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tension(i,j) = 0. _d 0 |
173 |
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#endif |
174 |
adcroft |
1.1 |
ENDDO |
175 |
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ENDDO |
176 |
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177 |
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C-- Term by term tracer parmeters |
178 |
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C o U momentum equation |
179 |
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uDudxFac = afFacMom*1. |
180 |
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AhDudxFac = vfFacMom*1. |
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vDudyFac = afFacMom*1. |
182 |
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AhDudyFac = vfFacMom*1. |
183 |
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rVelDudrFac = afFacMom*1. |
184 |
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ArDudrFac = vfFacMom*1. |
185 |
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mTFacU = mtFacMom*1. |
186 |
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fuFac = cfFacMom*1. |
187 |
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C o V momentum equation |
188 |
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uDvdxFac = afFacMom*1. |
189 |
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AhDvdxFac = vfFacMom*1. |
190 |
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vDvdyFac = afFacMom*1. |
191 |
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AhDvdyFac = vfFacMom*1. |
192 |
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rVelDvdrFac = afFacMom*1. |
193 |
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ArDvdrFac = vfFacMom*1. |
194 |
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mTFacV = mtFacMom*1. |
195 |
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fvFac = cfFacMom*1. |
196 |
jmc |
1.23 |
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197 |
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IF (implicitViscosity) THEN |
198 |
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ArDudrFac = 0. |
199 |
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ArDvdrFac = 0. |
200 |
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ENDIF |
201 |
adcroft |
1.1 |
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202 |
jmc |
1.29 |
C note: using standard stencil (no mask) results in under-estimating |
203 |
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C vorticity at a no-slip boundary by a factor of 2 = sideDragFactor |
204 |
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IF ( no_slip_sides ) THEN |
205 |
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sideMaskFac = sideDragFactor |
206 |
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ELSE |
207 |
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sideMaskFac = 0. _d 0 |
208 |
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ENDIF |
209 |
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210 |
adcroft |
1.1 |
IF ( no_slip_bottom |
211 |
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& .OR. bottomDragQuadratic.NE.0. |
212 |
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& .OR. bottomDragLinear.NE.0.) THEN |
213 |
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bottomDragTerms=.TRUE. |
214 |
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ELSE |
215 |
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bottomDragTerms=.FALSE. |
216 |
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ENDIF |
217 |
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218 |
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C-- Calculate open water fraction at vorticity points |
219 |
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CALL MOM_CALC_HFACZ(bi,bj,k,hFacZ,r_hFacZ,myThid) |
220 |
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221 |
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C---- Calculate common quantities used in both U and V equations |
222 |
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C Calculate tracer cell face open areas |
223 |
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DO j=1-OLy,sNy+OLy |
224 |
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DO i=1-OLx,sNx+OLx |
225 |
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xA(i,j) = _dyG(i,j,bi,bj) |
226 |
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& *drF(k)*_hFacW(i,j,k,bi,bj) |
227 |
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yA(i,j) = _dxG(i,j,bi,bj) |
228 |
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& *drF(k)*_hFacS(i,j,k,bi,bj) |
229 |
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ENDDO |
230 |
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ENDDO |
231 |
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232 |
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C Make local copies of horizontal flow field |
233 |
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DO j=1-OLy,sNy+OLy |
234 |
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DO i=1-OLx,sNx+OLx |
235 |
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uFld(i,j) = uVel(i,j,k,bi,bj) |
236 |
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vFld(i,j) = vVel(i,j,k,bi,bj) |
237 |
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ENDDO |
238 |
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ENDDO |
239 |
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240 |
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C Calculate velocity field "volume transports" through tracer cell faces. |
241 |
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DO j=1-OLy,sNy+OLy |
242 |
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DO i=1-OLx,sNx+OLx |
243 |
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uTrans(i,j) = uFld(i,j)*xA(i,j) |
244 |
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vTrans(i,j) = vFld(i,j)*yA(i,j) |
245 |
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ENDDO |
246 |
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ENDDO |
247 |
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248 |
baylor |
1.25 |
CALL MOM_CALC_KE(bi,bj,k,2,uFld,vFld,KE,myThid) |
249 |
jmc |
1.29 |
IF ( momViscosity) THEN |
250 |
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CALL MOM_CALC_HDIV(bi,bj,k,2,uFld,vFld,hDiv,myThid) |
251 |
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CALL MOM_CALC_RELVORT3(bi,bj,k,uFld,vFld,hFacZ,vort3,myThid) |
252 |
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CALL MOM_CALC_TENSION(bi,bj,k,uFld,vFld,tension,myThid) |
253 |
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CALL MOM_CALC_STRAIN(bi,bj,k,uFld,vFld,hFacZ,strain,myThid) |
254 |
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DO j=1-Oly,sNy+Oly |
255 |
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DO i=1-Olx,sNx+Olx |
256 |
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IF ( hFacZ(i,j).EQ.0. ) THEN |
257 |
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vort3(i,j) = sideMaskFac*vort3(i,j) |
258 |
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strain(i,j) = sideMaskFac*strain(i,j) |
259 |
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ENDIF |
260 |
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ENDDO |
261 |
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ENDDO |
262 |
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#ifdef ALLOW_DIAGNOSTICS |
263 |
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IF ( useDiagnostics ) THEN |
264 |
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CALL DIAGNOSTICS_FILL(hDiv, 'momHDiv ',k,1,2,bi,bj,myThid) |
265 |
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CALL DIAGNOSTICS_FILL(vort3, 'momVort3',k,1,2,bi,bj,myThid) |
266 |
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CALL DIAGNOSTICS_FILL(tension,'Tension ',k,1,2,bi,bj,myThid) |
267 |
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CALL DIAGNOSTICS_FILL(strain, 'Strain ',k,1,2,bi,bj,myThid) |
268 |
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ENDIF |
269 |
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#endif |
270 |
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ENDIF |
271 |
adcroft |
1.18 |
|
272 |
jmc |
1.8 |
C--- First call (k=1): compute vertical adv. flux fVerU(kUp) & fVerV(kUp) |
273 |
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IF (momAdvection.AND.k.EQ.1) THEN |
274 |
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275 |
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C- Calculate vertical transports above U & V points (West & South face): |
276 |
jmc |
1.23 |
CALL MOM_CALC_RTRANS( k, bi, bj, |
277 |
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O rTransU, rTransV, |
278 |
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I myTime, myIter, myThid) |
279 |
jmc |
1.8 |
|
280 |
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C- Free surface correction term (flux at k=1) |
281 |
jmc |
1.23 |
CALL MOM_U_ADV_WU( bi,bj,k,uVel,wVel,rTransU, |
282 |
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O fVerU(1-OLx,1-OLy,kUp), myThid ) |
283 |
jmc |
1.8 |
|
284 |
jmc |
1.23 |
CALL MOM_V_ADV_WV( bi,bj,k,vVel,wVel,rTransV, |
285 |
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O fVerV(1-OLx,1-OLy,kUp), myThid ) |
286 |
jmc |
1.8 |
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287 |
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C--- endif momAdvection & k=1 |
288 |
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ENDIF |
289 |
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290 |
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291 |
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C--- Calculate vertical transports (at k+1) below U & V points : |
292 |
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IF (momAdvection) THEN |
293 |
jmc |
1.23 |
CALL MOM_CALC_RTRANS( k+1, bi, bj, |
294 |
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O rTransU, rTransV, |
295 |
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I myTime, myIter, myThid) |
296 |
jmc |
1.8 |
ENDIF |
297 |
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298 |
baylor |
1.25 |
IF (momViscosity) THEN |
299 |
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CALL MOM_CALC_VISC( |
300 |
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I bi,bj,k, |
301 |
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O viscAh_Z,viscAh_D,viscA4_Z,viscA4_D, |
302 |
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O harmonic,biharmonic,useVariableViscosity, |
303 |
jmc |
1.26 |
I hDiv,vort3,tension,strain,KE,hFacZ, |
304 |
baylor |
1.25 |
I myThid) |
305 |
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ENDIF |
306 |
jmc |
1.8 |
|
307 |
jmc |
1.23 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
308 |
|
|
|
309 |
adcroft |
1.1 |
C---- Zonal momentum equation starts here |
310 |
|
|
|
311 |
jmc |
1.23 |
IF (momAdvection) THEN |
312 |
|
|
C--- Calculate mean fluxes (advection) between cells for zonal flow. |
313 |
adcroft |
1.1 |
|
314 |
|
|
C-- Zonal flux (fZon is at east face of "u" cell) |
315 |
jmc |
1.23 |
C Mean flow component of zonal flux -> fZon |
316 |
|
|
CALL MOM_U_ADV_UU(bi,bj,k,uTrans,uFld,fZon,myThid) |
317 |
adcroft |
1.1 |
|
318 |
|
|
C-- Meridional flux (fMer is at south face of "u" cell) |
319 |
jmc |
1.23 |
C Mean flow component of meridional flux -> fMer |
320 |
|
|
CALL MOM_U_ADV_VU(bi,bj,k,vTrans,uFld,fMer,myThid) |
321 |
adcroft |
1.1 |
|
322 |
|
|
C-- Vertical flux (fVer is at upper face of "u" cell) |
323 |
jmc |
1.23 |
C Mean flow component of vertical flux (at k+1) -> fVer |
324 |
|
|
CALL MOM_U_ADV_WU( |
325 |
|
|
I bi,bj,k+1,uVel,wVel,rTransU, |
326 |
|
|
O fVerU(1-OLx,1-OLy,kDown), myThid ) |
327 |
adcroft |
1.1 |
|
328 |
|
|
C-- Tendency is minus divergence of the fluxes + coriolis + pressure term |
329 |
jmc |
1.23 |
DO j=jMin,jMax |
330 |
|
|
DO i=iMin,iMax |
331 |
|
|
gU(i,j,k,bi,bj) = |
332 |
adcroft |
1.1 |
#ifdef OLD_UV_GEOM |
333 |
jmc |
1.23 |
& -_recip_hFacW(i,j,k,bi,bj)*recip_drF(k)/ |
334 |
|
|
& ( 0.5 _d 0*(rA(i,j,bi,bj)+rA(i-1,j,bi,bj)) ) |
335 |
adcroft |
1.1 |
#else |
336 |
jmc |
1.23 |
& -_recip_hFacW(i,j,k,bi,bj)*recip_drF(k) |
337 |
|
|
& *recip_rAw(i,j,bi,bj) |
338 |
adcroft |
1.1 |
#endif |
339 |
jmc |
1.23 |
& *( ( fZon(i,j ) - fZon(i-1,j) )*uDudxFac |
340 |
|
|
& +( fMer(i,j+1) - fMer(i, j) )*vDudyFac |
341 |
|
|
& +(fVerU(i,j,kDown) - fVerU(i,j,kUp))*rkSign*rVelDudrFac |
342 |
|
|
& ) |
343 |
|
|
ENDDO |
344 |
|
|
ENDDO |
345 |
adcroft |
1.1 |
|
346 |
jmc |
1.24 |
#ifdef ALLOW_DIAGNOSTICS |
347 |
|
|
IF ( useDiagnostics ) THEN |
348 |
|
|
CALL DIAGNOSTICS_FILL(fZon,'ADVx_Um ',k,1,2,bi,bj,myThid) |
349 |
|
|
CALL DIAGNOSTICS_FILL(fMer,'ADVy_Um ',k,1,2,bi,bj,myThid) |
350 |
|
|
CALL DIAGNOSTICS_FILL(fVerU(1-Olx,1-Oly,kUp), |
351 |
|
|
& 'ADVrE_Um',k,1,2,bi,bj,myThid) |
352 |
|
|
ENDIF |
353 |
|
|
#endif |
354 |
|
|
|
355 |
jmc |
1.8 |
#ifdef NONLIN_FRSURF |
356 |
|
|
C-- account for 3.D divergence of the flow in rStar coordinate: |
357 |
jmc |
1.23 |
IF ( select_rStar.GT.0 ) THEN |
358 |
|
|
DO j=jMin,jMax |
359 |
|
|
DO i=iMin,iMax |
360 |
|
|
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj) |
361 |
jmc |
1.8 |
& - (rStarExpW(i,j,bi,bj) - 1. _d 0)/deltaTfreesurf |
362 |
|
|
& *uVel(i,j,k,bi,bj) |
363 |
jmc |
1.23 |
ENDDO |
364 |
|
|
ENDDO |
365 |
|
|
ENDIF |
366 |
|
|
IF ( select_rStar.LT.0 ) THEN |
367 |
|
|
DO j=jMin,jMax |
368 |
|
|
DO i=iMin,iMax |
369 |
|
|
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj) |
370 |
|
|
& - rStarDhWDt(i,j,bi,bj)*uVel(i,j,k,bi,bj) |
371 |
|
|
ENDDO |
372 |
|
|
ENDDO |
373 |
|
|
ENDIF |
374 |
|
|
#endif /* NONLIN_FRSURF */ |
375 |
|
|
|
376 |
|
|
ELSE |
377 |
|
|
C- if momAdvection / else |
378 |
|
|
DO j=1-OLy,sNy+OLy |
379 |
|
|
DO i=1-OLx,sNx+OLx |
380 |
|
|
gU(i,j,k,bi,bj) = 0. _d 0 |
381 |
|
|
ENDDO |
382 |
jmc |
1.8 |
ENDDO |
383 |
jmc |
1.23 |
|
384 |
|
|
C- endif momAdvection. |
385 |
jmc |
1.8 |
ENDIF |
386 |
jmc |
1.23 |
|
387 |
|
|
IF (momViscosity) THEN |
388 |
|
|
C--- Calculate eddy fluxes (dissipation) between cells for zonal flow. |
389 |
|
|
|
390 |
|
|
C Bi-harmonic term del^2 U -> v4F |
391 |
baylor |
1.25 |
IF (biharmonic) |
392 |
jmc |
1.23 |
& CALL MOM_U_DEL2U(bi,bj,k,uFld,hFacZ,v4f,myThid) |
393 |
|
|
|
394 |
|
|
C Laplacian and bi-harmonic terms, Zonal Fluxes -> fZon |
395 |
baylor |
1.25 |
CALL MOM_U_XVISCFLUX(bi,bj,k,uFld,v4F,fZon, |
396 |
baylor |
1.27 |
I viscAh_D,viscA4_D,myThid) |
397 |
jmc |
1.23 |
|
398 |
|
|
C Laplacian and bi-harmonic termis, Merid Fluxes -> fMer |
399 |
baylor |
1.25 |
CALL MOM_U_YVISCFLUX(bi,bj,k,uFld,v4F,hFacZ,fMer, |
400 |
baylor |
1.27 |
I viscAh_Z,viscA4_Z,myThid) |
401 |
jmc |
1.23 |
|
402 |
|
|
C Eddy component of vertical flux (interior component only) -> fVrUp & fVrDw |
403 |
|
|
IF (.NOT.implicitViscosity) THEN |
404 |
|
|
CALL MOM_U_RVISCFLUX(bi,bj, k, uVel,KappaRU,fVrUp,myThid) |
405 |
|
|
CALL MOM_U_RVISCFLUX(bi,bj,k+1,uVel,KappaRU,fVrDw,myThid) |
406 |
|
|
ENDIF |
407 |
|
|
|
408 |
|
|
C-- Tendency is minus divergence of the fluxes |
409 |
|
|
DO j=jMin,jMax |
410 |
|
|
DO i=iMin,iMax |
411 |
|
|
guDiss(i,j) = |
412 |
|
|
#ifdef OLD_UV_GEOM |
413 |
|
|
& -_recip_hFacW(i,j,k,bi,bj)*recip_drF(k)/ |
414 |
|
|
& ( 0.5 _d 0*(rA(i,j,bi,bj)+rA(i-1,j,bi,bj)) ) |
415 |
|
|
#else |
416 |
|
|
& -_recip_hFacW(i,j,k,bi,bj)*recip_drF(k) |
417 |
|
|
& *recip_rAw(i,j,bi,bj) |
418 |
|
|
#endif |
419 |
|
|
& *( ( fZon(i,j ) - fZon(i-1,j) )*AhDudxFac |
420 |
|
|
& +( fMer(i,j+1) - fMer(i, j) )*AhDudyFac |
421 |
|
|
& +( fVrDw(i,j) - fVrUp(i,j) )*rkSign*ArDudrFac |
422 |
|
|
& ) |
423 |
|
|
ENDDO |
424 |
jmc |
1.8 |
ENDDO |
425 |
|
|
|
426 |
jmc |
1.24 |
#ifdef ALLOW_DIAGNOSTICS |
427 |
|
|
IF ( useDiagnostics ) THEN |
428 |
|
|
CALL DIAGNOSTICS_FILL(fZon, 'VISCx_Um',k,1,2,bi,bj,myThid) |
429 |
|
|
CALL DIAGNOSTICS_FILL(fMer, 'VISCy_Um',k,1,2,bi,bj,myThid) |
430 |
|
|
IF (.NOT.implicitViscosity) |
431 |
|
|
& CALL DIAGNOSTICS_FILL(fVrUp,'VISrE_Um',k,1,2,bi,bj,myThid) |
432 |
|
|
ENDIF |
433 |
|
|
#endif |
434 |
|
|
|
435 |
adcroft |
1.1 |
C-- No-slip and drag BCs appear as body forces in cell abutting topography |
436 |
jmc |
1.23 |
IF (no_slip_sides) THEN |
437 |
adcroft |
1.1 |
C- No-slip BCs impose a drag at walls... |
438 |
baylor |
1.27 |
CALL MOM_U_SIDEDRAG( |
439 |
|
|
I bi,bj,k, |
440 |
|
|
I uFld, v4f, hFacZ, |
441 |
|
|
I viscAh_Z,viscA4_Z, |
442 |
|
|
I harmonic,biharmonic,useVariableViscosity, |
443 |
|
|
O vF, |
444 |
|
|
I myThid) |
445 |
jmc |
1.23 |
DO j=jMin,jMax |
446 |
|
|
DO i=iMin,iMax |
447 |
|
|
gUdiss(i,j) = gUdiss(i,j) + vF(i,j) |
448 |
|
|
ENDDO |
449 |
|
|
ENDDO |
450 |
|
|
ENDIF |
451 |
adcroft |
1.1 |
C- No-slip BCs impose a drag at bottom |
452 |
jmc |
1.23 |
IF (bottomDragTerms) THEN |
453 |
|
|
CALL MOM_U_BOTTOMDRAG(bi,bj,k,uFld,KE,KappaRU,vF,myThid) |
454 |
|
|
DO j=jMin,jMax |
455 |
|
|
DO i=iMin,iMax |
456 |
|
|
gUdiss(i,j) = gUdiss(i,j) + vF(i,j) |
457 |
|
|
ENDDO |
458 |
|
|
ENDDO |
459 |
|
|
ENDIF |
460 |
|
|
|
461 |
|
|
C- endif momViscosity |
462 |
adcroft |
1.1 |
ENDIF |
463 |
|
|
|
464 |
jmc |
1.12 |
C-- Forcing term (moved to timestep.F) |
465 |
|
|
c IF (momForcing) |
466 |
|
|
c & CALL EXTERNAL_FORCING_U( |
467 |
|
|
c I iMin,iMax,jMin,jMax,bi,bj,k, |
468 |
|
|
c I myTime,myThid) |
469 |
adcroft |
1.1 |
|
470 |
|
|
C-- Metric terms for curvilinear grid systems |
471 |
adcroft |
1.5 |
IF (useNHMTerms) THEN |
472 |
|
|
C o Non-hydrosatic metric terms |
473 |
adcroft |
1.1 |
CALL MOM_U_METRIC_NH(bi,bj,k,uFld,wVel,mT,myThid) |
474 |
|
|
DO j=jMin,jMax |
475 |
|
|
DO i=iMin,iMax |
476 |
|
|
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+mTFacU*mT(i,j) |
477 |
|
|
ENDDO |
478 |
|
|
ENDDO |
479 |
adcroft |
1.5 |
ENDIF |
480 |
|
|
IF (usingSphericalPolarMTerms) THEN |
481 |
adcroft |
1.1 |
CALL MOM_U_METRIC_SPHERE(bi,bj,k,uFld,vFld,mT,myThid) |
482 |
|
|
DO j=jMin,jMax |
483 |
|
|
DO i=iMin,iMax |
484 |
|
|
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+mTFacU*mT(i,j) |
485 |
|
|
ENDDO |
486 |
|
|
ENDDO |
487 |
afe |
1.20 |
ENDIF |
488 |
afe |
1.19 |
IF (usingCylindricalGrid) THEN |
489 |
|
|
CALL MOM_U_METRIC_CYLINDER(bi,bj,k,uFld,vFld,mT,myThid) |
490 |
|
|
DO j=jMin,jMax |
491 |
|
|
DO i=iMin,iMax |
492 |
|
|
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+mTFacU*mT(i,j) |
493 |
|
|
ENDDO |
494 |
|
|
ENDDO |
495 |
adcroft |
1.1 |
ENDIF |
496 |
|
|
|
497 |
jmc |
1.23 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
498 |
adcroft |
1.1 |
|
499 |
|
|
C---- Meridional momentum equation starts here |
500 |
|
|
|
501 |
jmc |
1.23 |
IF (momAdvection) THEN |
502 |
|
|
C--- Calculate mean fluxes (advection) between cells for meridional flow. |
503 |
|
|
C Mean flow component of zonal flux -> fZon |
504 |
|
|
CALL MOM_V_ADV_UV(bi,bj,k,uTrans,vFld,fZon,myThid) |
505 |
adcroft |
1.1 |
|
506 |
|
|
C-- Meridional flux (fMer is at north face of "v" cell) |
507 |
jmc |
1.23 |
C Mean flow component of meridional flux -> fMer |
508 |
|
|
CALL MOM_V_ADV_VV(bi,bj,k,vTrans,vFld,fMer,myThid) |
509 |
adcroft |
1.1 |
|
510 |
|
|
C-- Vertical flux (fVer is at upper face of "v" cell) |
511 |
jmc |
1.23 |
C Mean flow component of vertical flux (at k+1) -> fVerV |
512 |
|
|
CALL MOM_V_ADV_WV( |
513 |
|
|
I bi,bj,k+1,vVel,wVel,rTransV, |
514 |
|
|
O fVerV(1-OLx,1-OLy,kDown), myThid ) |
515 |
adcroft |
1.1 |
|
516 |
|
|
C-- Tendency is minus divergence of the fluxes + coriolis + pressure term |
517 |
jmc |
1.23 |
DO j=jMin,jMax |
518 |
|
|
DO i=iMin,iMax |
519 |
|
|
gV(i,j,k,bi,bj) = |
520 |
adcroft |
1.1 |
#ifdef OLD_UV_GEOM |
521 |
jmc |
1.23 |
& -_recip_hFacS(i,j,k,bi,bj)*recip_drF(k)/ |
522 |
|
|
& ( 0.5 _d 0*(_rA(i,j,bi,bj)+_rA(i,j-1,bi,bj)) ) |
523 |
adcroft |
1.1 |
#else |
524 |
jmc |
1.23 |
& -_recip_hFacS(i,j,k,bi,bj)*recip_drF(k) |
525 |
|
|
& *recip_rAs(i,j,bi,bj) |
526 |
adcroft |
1.1 |
#endif |
527 |
jmc |
1.23 |
& *( ( fZon(i+1,j) - fZon(i,j ) )*uDvdxFac |
528 |
|
|
& +( fMer(i, j) - fMer(i,j-1) )*vDvdyFac |
529 |
|
|
& +(fVerV(i,j,kDown) - fVerV(i,j,kUp))*rkSign*rVelDvdrFac |
530 |
|
|
& ) |
531 |
jmc |
1.24 |
ENDDO |
532 |
|
|
ENDDO |
533 |
|
|
|
534 |
|
|
#ifdef ALLOW_DIAGNOSTICS |
535 |
|
|
IF ( useDiagnostics ) THEN |
536 |
|
|
CALL DIAGNOSTICS_FILL(fZon,'ADVx_Vm ',k,1,2,bi,bj,myThid) |
537 |
|
|
CALL DIAGNOSTICS_FILL(fMer,'ADVy_Vm ',k,1,2,bi,bj,myThid) |
538 |
|
|
CALL DIAGNOSTICS_FILL(fVerV(1-Olx,1-Oly,kUp), |
539 |
|
|
& 'ADVrE_Vm',k,1,2,bi,bj,myThid) |
540 |
|
|
ENDIF |
541 |
|
|
#endif |
542 |
adcroft |
1.1 |
|
543 |
jmc |
1.8 |
#ifdef NONLIN_FRSURF |
544 |
|
|
C-- account for 3.D divergence of the flow in rStar coordinate: |
545 |
jmc |
1.23 |
IF ( select_rStar.GT.0 ) THEN |
546 |
|
|
DO j=jMin,jMax |
547 |
|
|
DO i=iMin,iMax |
548 |
|
|
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj) |
549 |
jmc |
1.8 |
& - (rStarExpS(i,j,bi,bj) - 1. _d 0)/deltaTfreesurf |
550 |
|
|
& *vVel(i,j,k,bi,bj) |
551 |
jmc |
1.23 |
ENDDO |
552 |
|
|
ENDDO |
553 |
|
|
ENDIF |
554 |
|
|
IF ( select_rStar.LT.0 ) THEN |
555 |
|
|
DO j=jMin,jMax |
556 |
|
|
DO i=iMin,iMax |
557 |
|
|
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj) |
558 |
|
|
& - rStarDhSDt(i,j,bi,bj)*vVel(i,j,k,bi,bj) |
559 |
|
|
ENDDO |
560 |
|
|
ENDDO |
561 |
|
|
ENDIF |
562 |
|
|
#endif /* NONLIN_FRSURF */ |
563 |
|
|
|
564 |
|
|
ELSE |
565 |
|
|
C- if momAdvection / else |
566 |
|
|
DO j=1-OLy,sNy+OLy |
567 |
|
|
DO i=1-OLx,sNx+OLx |
568 |
|
|
gV(i,j,k,bi,bj) = 0. _d 0 |
569 |
|
|
ENDDO |
570 |
jmc |
1.8 |
ENDDO |
571 |
jmc |
1.23 |
|
572 |
|
|
C- endif momAdvection. |
573 |
jmc |
1.8 |
ENDIF |
574 |
jmc |
1.23 |
|
575 |
|
|
IF (momViscosity) THEN |
576 |
|
|
C--- Calculate eddy fluxes (dissipation) between cells for meridional flow. |
577 |
|
|
C Bi-harmonic term del^2 V -> v4F |
578 |
baylor |
1.25 |
IF (biharmonic) |
579 |
jmc |
1.23 |
& CALL MOM_V_DEL2V(bi,bj,k,vFld,hFacZ,v4f,myThid) |
580 |
|
|
|
581 |
|
|
C Laplacian and bi-harmonic terms, Zonal Fluxes -> fZon |
582 |
baylor |
1.25 |
CALL MOM_V_XVISCFLUX(bi,bj,k,vFld,v4f,hFacZ,fZon, |
583 |
baylor |
1.27 |
I viscAh_Z,viscA4_Z,myThid) |
584 |
jmc |
1.23 |
|
585 |
|
|
C Laplacian and bi-harmonic termis, Merid Fluxes -> fMer |
586 |
baylor |
1.25 |
CALL MOM_V_YVISCFLUX(bi,bj,k,vFld,v4f,fMer, |
587 |
baylor |
1.27 |
I viscAh_D,viscA4_D,myThid) |
588 |
jmc |
1.23 |
|
589 |
|
|
C Eddy component of vertical flux (interior component only) -> fVrUp & fVrDw |
590 |
|
|
IF (.NOT.implicitViscosity) THEN |
591 |
|
|
CALL MOM_V_RVISCFLUX(bi,bj, k, vVel,KappaRV,fVrUp,myThid) |
592 |
|
|
CALL MOM_V_RVISCFLUX(bi,bj,k+1,vVel,KappaRV,fVrDw,myThid) |
593 |
|
|
ENDIF |
594 |
|
|
|
595 |
|
|
C-- Tendency is minus divergence of the fluxes + coriolis + pressure term |
596 |
|
|
DO j=jMin,jMax |
597 |
|
|
DO i=iMin,iMax |
598 |
|
|
gvDiss(i,j) = |
599 |
|
|
#ifdef OLD_UV_GEOM |
600 |
|
|
& -_recip_hFacS(i,j,k,bi,bj)*recip_drF(k)/ |
601 |
|
|
& ( 0.5 _d 0*(_rA(i,j,bi,bj)+_rA(i,j-1,bi,bj)) ) |
602 |
|
|
#else |
603 |
|
|
& -_recip_hFacS(i,j,k,bi,bj)*recip_drF(k) |
604 |
|
|
& *recip_rAs(i,j,bi,bj) |
605 |
|
|
#endif |
606 |
|
|
& *( ( fZon(i+1,j) - fZon(i,j ) )*AhDvdxFac |
607 |
|
|
& +( fMer(i, j) - fMer(i,j-1) )*AhDvdyFac |
608 |
|
|
& +( fVrDw(i,j) - fVrUp(i,j) )*rkSign*ArDvdrFac |
609 |
|
|
& ) |
610 |
|
|
ENDDO |
611 |
jmc |
1.8 |
ENDDO |
612 |
|
|
|
613 |
jmc |
1.24 |
#ifdef ALLOW_DIAGNOSTICS |
614 |
|
|
IF ( useDiagnostics ) THEN |
615 |
|
|
CALL DIAGNOSTICS_FILL(fZon, 'VISCx_Vm',k,1,2,bi,bj,myThid) |
616 |
|
|
CALL DIAGNOSTICS_FILL(fMer, 'VISCy_Vm',k,1,2,bi,bj,myThid) |
617 |
|
|
IF (.NOT.implicitViscosity) |
618 |
|
|
& CALL DIAGNOSTICS_FILL(fVrUp,'VISrE_Vm',k,1,2,bi,bj,myThid) |
619 |
|
|
ENDIF |
620 |
|
|
#endif |
621 |
|
|
|
622 |
adcroft |
1.1 |
C-- No-slip and drag BCs appear as body forces in cell abutting topography |
623 |
jmc |
1.23 |
IF (no_slip_sides) THEN |
624 |
adcroft |
1.1 |
C- No-slip BCs impose a drag at walls... |
625 |
baylor |
1.27 |
CALL MOM_V_SIDEDRAG( |
626 |
|
|
I bi,bj,k, |
627 |
|
|
I vFld, v4f, hFacZ, |
628 |
|
|
I viscAh_Z,viscA4_Z, |
629 |
|
|
I harmonic,biharmonic,useVariableViscosity, |
630 |
|
|
O vF, |
631 |
|
|
I myThid) |
632 |
jmc |
1.23 |
DO j=jMin,jMax |
633 |
|
|
DO i=iMin,iMax |
634 |
|
|
gvDiss(i,j) = gvDiss(i,j) + vF(i,j) |
635 |
|
|
ENDDO |
636 |
|
|
ENDDO |
637 |
|
|
ENDIF |
638 |
adcroft |
1.1 |
C- No-slip BCs impose a drag at bottom |
639 |
jmc |
1.23 |
IF (bottomDragTerms) THEN |
640 |
|
|
CALL MOM_V_BOTTOMDRAG(bi,bj,k,vFld,KE,KappaRV,vF,myThid) |
641 |
|
|
DO j=jMin,jMax |
642 |
|
|
DO i=iMin,iMax |
643 |
|
|
gvDiss(i,j) = gvDiss(i,j) + vF(i,j) |
644 |
|
|
ENDDO |
645 |
|
|
ENDDO |
646 |
|
|
ENDIF |
647 |
|
|
|
648 |
|
|
C- endif momViscosity |
649 |
adcroft |
1.1 |
ENDIF |
650 |
|
|
|
651 |
jmc |
1.12 |
C-- Forcing term (moved to timestep.F) |
652 |
|
|
c IF (momForcing) |
653 |
|
|
c & CALL EXTERNAL_FORCING_V( |
654 |
|
|
c I iMin,iMax,jMin,jMax,bi,bj,k, |
655 |
|
|
c I myTime,myThid) |
656 |
adcroft |
1.1 |
|
657 |
|
|
C-- Metric terms for curvilinear grid systems |
658 |
adcroft |
1.5 |
IF (useNHMTerms) THEN |
659 |
adcroft |
1.1 |
C o Spherical polar grid metric terms |
660 |
|
|
CALL MOM_V_METRIC_NH(bi,bj,k,vFld,wVel,mT,myThid) |
661 |
|
|
DO j=jMin,jMax |
662 |
|
|
DO i=iMin,iMax |
663 |
|
|
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)+mTFacV*mT(i,j) |
664 |
|
|
ENDDO |
665 |
|
|
ENDDO |
666 |
adcroft |
1.5 |
ENDIF |
667 |
|
|
IF (usingSphericalPolarMTerms) THEN |
668 |
adcroft |
1.1 |
CALL MOM_V_METRIC_SPHERE(bi,bj,k,uFld,mT,myThid) |
669 |
|
|
DO j=jMin,jMax |
670 |
|
|
DO i=iMin,iMax |
671 |
|
|
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)+mTFacV*mT(i,j) |
672 |
|
|
ENDDO |
673 |
|
|
ENDDO |
674 |
|
|
ENDIF |
675 |
afe |
1.19 |
IF (usingCylindricalGrid) THEN |
676 |
|
|
CALL MOM_V_METRIC_CYLINDER(bi,bj,k,uFld,vFld,mT,myThid) |
677 |
|
|
DO j=jMin,jMax |
678 |
|
|
DO i=iMin,iMax |
679 |
|
|
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)+mTFacV*mT(i,j) |
680 |
|
|
ENDDO |
681 |
|
|
ENDDO |
682 |
|
|
ENDIF |
683 |
adcroft |
1.1 |
|
684 |
jmc |
1.23 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
685 |
adcroft |
1.1 |
|
686 |
|
|
C-- Coriolis term |
687 |
|
|
C Note. As coded here, coriolis will not work with "thin walls" |
688 |
jmc |
1.12 |
c IF (useCDscheme) THEN |
689 |
|
|
c CALL MOM_CDSCHEME(bi,bj,k,dPhiHydX,dPhiHydY,myThid) |
690 |
|
|
c ELSE |
691 |
|
|
IF (.NOT.useCDscheme) THEN |
692 |
|
|
CALL MOM_U_CORIOLIS(bi,bj,k,vFld,cf,myThid) |
693 |
|
|
DO j=jMin,jMax |
694 |
|
|
DO i=iMin,iMax |
695 |
|
|
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+fuFac*cf(i,j) |
696 |
|
|
ENDDO |
697 |
|
|
ENDDO |
698 |
jmc |
1.24 |
#ifdef ALLOW_DIAGNOSTICS |
699 |
|
|
IF ( useDiagnostics ) |
700 |
|
|
& CALL DIAGNOSTICS_FILL(cf,'Um_Cori ',k,1,2,bi,bj,myThid) |
701 |
|
|
#endif |
702 |
jmc |
1.12 |
CALL MOM_V_CORIOLIS(bi,bj,k,uFld,cf,myThid) |
703 |
|
|
DO j=jMin,jMax |
704 |
|
|
DO i=iMin,iMax |
705 |
|
|
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)+fvFac*cf(i,j) |
706 |
|
|
ENDDO |
707 |
|
|
ENDDO |
708 |
jmc |
1.24 |
#ifdef ALLOW_DIAGNOSTICS |
709 |
|
|
IF ( useDiagnostics ) |
710 |
|
|
& CALL DIAGNOSTICS_FILL(cf,'Vm_Cori ',k,1,2,bi,bj,myThid) |
711 |
|
|
#endif |
712 |
jmc |
1.12 |
ENDIF |
713 |
|
|
|
714 |
adcroft |
1.7 |
IF (nonHydrostatic.OR.quasiHydrostatic) THEN |
715 |
adcroft |
1.6 |
CALL MOM_U_CORIOLIS_NH(bi,bj,k,wVel,cf,myThid) |
716 |
|
|
DO j=jMin,jMax |
717 |
|
|
DO i=iMin,iMax |
718 |
|
|
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+fuFac*cf(i,j) |
719 |
|
|
ENDDO |
720 |
|
|
ENDDO |
721 |
|
|
ENDIF |
722 |
adcroft |
1.1 |
|
723 |
jmc |
1.23 |
C-- Set du/dt & dv/dt on boundaries to zero |
724 |
|
|
DO j=jMin,jMax |
725 |
|
|
DO i=iMin,iMax |
726 |
|
|
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)*_maskW(i,j,k,bi,bj) |
727 |
|
|
guDiss(i,j) = guDiss(i,j) *_maskW(i,j,k,bi,bj) |
728 |
|
|
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)*_maskS(i,j,k,bi,bj) |
729 |
|
|
gvDiss(i,j) = gvDiss(i,j) *_maskS(i,j,k,bi,bj) |
730 |
|
|
ENDDO |
731 |
|
|
ENDDO |
732 |
|
|
|
733 |
jmc |
1.24 |
#ifdef ALLOW_DIAGNOSTICS |
734 |
|
|
IF ( useDiagnostics ) THEN |
735 |
baylor |
1.28 |
CALL DIAGNOSTICS_FILL(KE, 'momKE ',k,1,2,bi,bj,myThid) |
736 |
jmc |
1.24 |
CALL DIAGNOSTICS_FILL(gU(1-Olx,1-Oly,k,bi,bj), |
737 |
|
|
& 'Um_Advec',k,1,2,bi,bj,myThid) |
738 |
|
|
CALL DIAGNOSTICS_FILL(gV(1-Olx,1-Oly,k,bi,bj), |
739 |
|
|
& 'Vm_Advec',k,1,2,bi,bj,myThid) |
740 |
|
|
IF (momViscosity) THEN |
741 |
|
|
CALL DIAGNOSTICS_FILL(guDiss,'Um_Diss ',k,1,2,bi,bj,myThid) |
742 |
|
|
CALL DIAGNOSTICS_FILL(gvDiss,'Vm_Diss ',k,1,2,bi,bj,myThid) |
743 |
|
|
ENDIF |
744 |
|
|
ENDIF |
745 |
|
|
#endif /* ALLOW_DIAGNOSTICS */ |
746 |
|
|
|
747 |
adcroft |
1.1 |
RETURN |
748 |
|
|
END |