4 |
CBOI |
CBOI |
5 |
C !TITLE: pkg/mom\_advdiff |
C !TITLE: pkg/mom\_advdiff |
6 |
C !AUTHORS: adcroft@mit.edu |
C !AUTHORS: adcroft@mit.edu |
7 |
C !INTRODUCTION: |
C !INTRODUCTION: Flux-form Momentum Equations Package |
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C \section{Flux-form Momentum Equations Package} |
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8 |
C |
C |
9 |
C Package "mom\_fluxform" provides methods for calculating explicit terms |
C Package "mom\_fluxform" provides methods for calculating explicit terms |
10 |
C in the momentum equation cast in flux-form: |
C in the momentum equation cast in flux-form: |
25 |
C stresses as well as internal viscous stresses. |
C stresses as well as internal viscous stresses. |
26 |
CEOI |
CEOI |
27 |
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28 |
#include "CPP_OPTIONS.h" |
#include "MOM_FLUXFORM_OPTIONS.h" |
29 |
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30 |
CBOP |
CBOP |
31 |
C !ROUTINE: MOM_FLUXFORM |
C !ROUTINE: MOM_FLUXFORM |
32 |
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33 |
C !INTERFACE: ========================================================== |
C !INTERFACE: ========================================================== |
34 |
SUBROUTINE MOM_FLUXFORM( |
SUBROUTINE MOM_FLUXFORM( |
35 |
I bi,bj,iMin,iMax,jMin,jMax,k,kUp,kDown, |
I bi,bj,iMin,iMax,jMin,jMax,k,kUp,kDown, |
36 |
I phi_hyd,KappaRU,KappaRV, |
I KappaRU, KappaRV, |
37 |
U fVerU, fVerV, |
U fVerU, fVerV, |
38 |
I myCurrentTime,myIter,myThid) |
O guDiss, gvDiss, |
39 |
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I myTime, myIter, myThid) |
40 |
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41 |
C !DESCRIPTION: |
C !DESCRIPTION: |
42 |
C Calculates all the horizontal accelerations except for the implicit surface |
C Calculates all the horizontal accelerations except for the implicit surface |
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C pressure gradient and implciit vertical viscosity. |
C pressure gradient and implicit vertical viscosity. |
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45 |
C !USES: =============================================================== |
C !USES: =============================================================== |
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C == Global variables == |
C == Global variables == |
52 |
#include "PARAMS.h" |
#include "PARAMS.h" |
53 |
#include "GRID.h" |
#include "GRID.h" |
54 |
#include "SURFACE.h" |
#include "SURFACE.h" |
55 |
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#ifdef ALLOW_AUTODIFF_TAMC |
56 |
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# include "tamc.h" |
57 |
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# include "tamc_keys.h" |
58 |
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# include "MOM_FLUXFORM.h" |
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#endif |
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61 |
C !INPUT PARAMETERS: =================================================== |
C !INPUT PARAMETERS: =================================================== |
62 |
C bi,bj :: tile indices |
C bi,bj :: tile indices |
64 |
C k :: vertical level |
C k :: vertical level |
65 |
C kUp :: =1 or 2 for consecutive k |
C kUp :: =1 or 2 for consecutive k |
66 |
C kDown :: =2 or 1 for consecutive k |
C kDown :: =2 or 1 for consecutive k |
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C phi_hyd :: hydrostatic pressure (perturbation) |
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67 |
C KappaRU :: vertical viscosity |
C KappaRU :: vertical viscosity |
68 |
C KappaRV :: vertical viscosity |
C KappaRV :: vertical viscosity |
69 |
C fVerU :: vertical flux of U, 2 1/2 dim for pipe-lining |
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 |
C fVerV :: vertical flux of V, 2 1/2 dim for pipe-lining |
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C myCurrentTime :: current time |
C guDiss :: dissipation tendency (all explicit terms), u component |
72 |
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C gvDiss :: dissipation tendency (all explicit terms), v component |
73 |
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C myTime :: current time |
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C myIter :: current time-step number |
C myIter :: current time-step number |
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C myThid :: thread number |
C myThid :: thread number |
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INTEGER bi,bj,iMin,iMax,jMin,jMax |
INTEGER bi,bj,iMin,iMax,jMin,jMax |
77 |
INTEGER k,kUp,kDown |
INTEGER k,kUp,kDown |
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_RL phi_hyd(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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78 |
_RL KappaRU(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
_RL KappaRU(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
79 |
_RL KappaRV(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
_RL KappaRV(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
80 |
_RL fVerU(1-OLx:sNx+OLx,1-OLy:sNy+OLy,2) |
_RL fVerU(1-OLx:sNx+OLx,1-OLy:sNy+OLy,2) |
81 |
_RL fVerV(1-OLx:sNx+OLx,1-OLy:sNy+OLy,2) |
_RL fVerV(1-OLx:sNx+OLx,1-OLy:sNy+OLy,2) |
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_RL myCurrentTime |
_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) |
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_RL myTime |
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INTEGER myIter |
INTEGER myIter |
86 |
INTEGER myThid |
INTEGER myThid |
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90 |
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91 |
C !LOCAL VARIABLES: ==================================================== |
C !LOCAL VARIABLES: ==================================================== |
92 |
C i,j :: loop indices |
C i,j :: loop indices |
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C aF :: advective flux |
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93 |
C vF :: viscous flux |
C vF :: viscous flux |
94 |
C v4F :: bi-harmonic viscous flux |
C v4F :: bi-harmonic viscous flux |
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C vrF :: vertical viscous flux |
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95 |
C cF :: Coriolis acceleration |
C cF :: Coriolis acceleration |
96 |
C mT :: Metric terms |
C mT :: Metric terms |
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C pF :: Pressure gradient |
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97 |
C fZon :: zonal fluxes |
C fZon :: zonal fluxes |
98 |
C fMer :: meridional fluxes |
C fMer :: meridional fluxes |
99 |
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C fVrUp,fVrDw :: vertical viscous fluxes at interface k-1 & k |
100 |
INTEGER i,j |
INTEGER i,j |
101 |
_RL aF(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
#ifdef ALLOW_AUTODIFF_TAMC |
102 |
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INTEGER imomkey |
103 |
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#endif |
104 |
_RL vF(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL vF(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
105 |
_RL v4F(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL v4F(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL vrF(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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106 |
_RL cF(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL cF(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
107 |
_RL mT(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL mT(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL pF(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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108 |
_RL fZon(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL fZon(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
109 |
_RL fMer(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL fMer(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
110 |
C wMaskOverride - Land sea flag override for top layer. |
_RL fVrUp(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
111 |
C afFacMom - Tracer parameters for turning terms |
_RL fVrDw(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
112 |
C vfFacMom on and off. |
C afFacMom :: Tracer parameters for turning terms on and off. |
113 |
C pfFacMom afFacMom - Advective terms |
C vfFacMom |
114 |
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C pfFacMom afFacMom - Advective terms |
115 |
C cfFacMom vfFacMom - Eddy viscosity terms |
C cfFacMom vfFacMom - Eddy viscosity terms |
116 |
C mTFacMom pfFacMom - Pressure terms |
C mtFacMom pfFacMom - Pressure terms |
117 |
C cfFacMom - Coriolis terms |
C cfFacMom - Coriolis terms |
118 |
C foFacMom - Forcing |
C foFacMom - Forcing |
119 |
C mTFacMom - Metric term |
C mtFacMom - Metric term |
120 |
C uDudxFac, AhDudxFac, etc ... individual term tracer parameters |
C uDudxFac, AhDudxFac, etc ... individual term parameters for switching terms off |
121 |
_RS hFacZ(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RS hFacZ(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
122 |
_RS r_hFacZ(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RS r_hFacZ(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
123 |
_RS xA(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RS xA(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
126 |
_RL vTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL vTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
127 |
_RL uFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL uFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
128 |
_RL vFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL vFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
129 |
C I,J,K - Loop counters |
_RL rTransU(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
130 |
C rVelMaskOverride - Factor for imposing special surface boundary conditions |
_RL rTransV(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
131 |
C ( set according to free-surface condition ). |
_RL KE(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
132 |
C hFacROpen - Lopped cell factos used tohold fraction of open |
_RL viscAh_D(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
133 |
C hFacRClosed and closed cell wall. |
_RL viscAh_Z(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
134 |
_RL rVelMaskOverride |
_RL viscA4_D(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
135 |
C xxxFac - On-off tracer parameters used for switching terms off. |
_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 |
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_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 |
_RL uDudxFac |
_RL uDudxFac |
141 |
_RL AhDudxFac |
_RL AhDudxFac |
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_RL A4DuxxdxFac |
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142 |
_RL vDudyFac |
_RL vDudyFac |
143 |
_RL AhDudyFac |
_RL AhDudyFac |
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_RL A4DuyydyFac |
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144 |
_RL rVelDudrFac |
_RL rVelDudrFac |
145 |
_RL ArDudrFac |
_RL ArDudrFac |
146 |
_RL fuFac |
_RL fuFac |
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_RL phxFac |
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147 |
_RL mtFacU |
_RL mtFacU |
148 |
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_RL mtNHFacU |
149 |
_RL uDvdxFac |
_RL uDvdxFac |
150 |
_RL AhDvdxFac |
_RL AhDvdxFac |
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_RL A4DvxxdxFac |
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151 |
_RL vDvdyFac |
_RL vDvdyFac |
152 |
_RL AhDvdyFac |
_RL AhDvdyFac |
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_RL A4DvyydyFac |
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153 |
_RL rVelDvdrFac |
_RL rVelDvdrFac |
154 |
_RL ArDvdrFac |
_RL ArDvdrFac |
155 |
_RL fvFac |
_RL fvFac |
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_RL phyFac |
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_RL vForcFac |
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156 |
_RL mtFacV |
_RL mtFacV |
157 |
INTEGER km1,kp1 |
_RL mtNHFacV |
158 |
_RL wVelBottomOverride |
_RL sideMaskFac |
159 |
LOGICAL bottomDragTerms |
LOGICAL bottomDragTerms,harmonic,biharmonic,useVariableViscosity |
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_RL KE(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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160 |
CEOP |
CEOP |
161 |
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162 |
km1=MAX(1,k-1) |
#ifdef ALLOW_AUTODIFF_TAMC |
163 |
kp1=MIN(Nr,k+1) |
act0 = k - 1 |
164 |
rVelMaskOverride=1. |
max0 = Nr |
165 |
IF ( k .EQ. 1 ) rVelMaskOverride=freeSurfFac |
act1 = bi - myBxLo(myThid) |
166 |
wVelBottomOverride=1. |
max1 = myBxHi(myThid) - myBxLo(myThid) + 1 |
167 |
IF (k.EQ.Nr) wVelBottomOverride=0. |
act2 = bj - myByLo(myThid) |
168 |
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max2 = myByHi(myThid) - myByLo(myThid) + 1 |
169 |
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act3 = myThid - 1 |
170 |
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max3 = nTx*nTy |
171 |
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act4 = ikey_dynamics - 1 |
172 |
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imomkey = (act0 + 1) |
173 |
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& + act1*max0 |
174 |
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& + act2*max0*max1 |
175 |
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& + act3*max0*max1*max2 |
176 |
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& + act4*max0*max1*max2*max3 |
177 |
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#endif /* ALLOW_AUTODIFF_TAMC */ |
178 |
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179 |
C Initialise intermediate terms |
C Initialise intermediate terms |
180 |
DO J=1-OLy,sNy+OLy |
DO j=1-OLy,sNy+OLy |
181 |
DO I=1-OLx,sNx+OLx |
DO i=1-OLx,sNx+OLx |
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aF(i,j) = 0. |
|
182 |
vF(i,j) = 0. |
vF(i,j) = 0. |
183 |
v4F(i,j) = 0. |
v4F(i,j) = 0. |
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vrF(i,j) = 0. |
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184 |
cF(i,j) = 0. |
cF(i,j) = 0. |
185 |
mT(i,j) = 0. |
mT(i,j) = 0. |
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pF(i,j) = 0. |
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186 |
fZon(i,j) = 0. |
fZon(i,j) = 0. |
187 |
fMer(i,j) = 0. |
fMer(i,j) = 0. |
188 |
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fVrUp(i,j)= 0. |
189 |
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fVrDw(i,j)= 0. |
190 |
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rTransU(i,j)= 0. |
191 |
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rTransV(i,j)= 0. |
192 |
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c KE(i,j) = 0. |
193 |
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c hDiv(i,j) = 0. |
194 |
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vort3(i,j) = 0. |
195 |
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strain(i,j) = 0. |
196 |
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tension(i,j)= 0. |
197 |
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guDiss(i,j) = 0. |
198 |
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gvDiss(i,j) = 0. |
199 |
ENDDO |
ENDDO |
200 |
ENDDO |
ENDDO |
201 |
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203 |
C o U momentum equation |
C o U momentum equation |
204 |
uDudxFac = afFacMom*1. |
uDudxFac = afFacMom*1. |
205 |
AhDudxFac = vfFacMom*1. |
AhDudxFac = vfFacMom*1. |
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A4DuxxdxFac = vfFacMom*1. |
|
206 |
vDudyFac = afFacMom*1. |
vDudyFac = afFacMom*1. |
207 |
AhDudyFac = vfFacMom*1. |
AhDudyFac = vfFacMom*1. |
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A4DuyydyFac = vfFacMom*1. |
|
208 |
rVelDudrFac = afFacMom*1. |
rVelDudrFac = afFacMom*1. |
209 |
ArDudrFac = vfFacMom*1. |
ArDudrFac = vfFacMom*1. |
210 |
mTFacU = mtFacMom*1. |
mtFacU = mtFacMom*1. |
211 |
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mtNHFacU = 1. |
212 |
fuFac = cfFacMom*1. |
fuFac = cfFacMom*1. |
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phxFac = pfFacMom*1. |
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213 |
C o V momentum equation |
C o V momentum equation |
214 |
uDvdxFac = afFacMom*1. |
uDvdxFac = afFacMom*1. |
215 |
AhDvdxFac = vfFacMom*1. |
AhDvdxFac = vfFacMom*1. |
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A4DvxxdxFac = vfFacMom*1. |
|
216 |
vDvdyFac = afFacMom*1. |
vDvdyFac = afFacMom*1. |
217 |
AhDvdyFac = vfFacMom*1. |
AhDvdyFac = vfFacMom*1. |
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A4DvyydyFac = vfFacMom*1. |
|
218 |
rVelDvdrFac = afFacMom*1. |
rVelDvdrFac = afFacMom*1. |
219 |
ArDvdrFac = vfFacMom*1. |
ArDvdrFac = vfFacMom*1. |
220 |
mTFacV = mtFacMom*1. |
mtFacV = mtFacMom*1. |
221 |
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mtNHFacV = 1. |
222 |
fvFac = cfFacMom*1. |
fvFac = cfFacMom*1. |
223 |
phyFac = pfFacMom*1. |
|
224 |
vForcFac = foFacMom*1. |
IF (implicitViscosity) THEN |
225 |
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ArDudrFac = 0. |
226 |
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ArDvdrFac = 0. |
227 |
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ENDIF |
228 |
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229 |
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C note: using standard stencil (no mask) results in under-estimating |
230 |
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C vorticity at a no-slip boundary by a factor of 2 = sideDragFactor |
231 |
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IF ( no_slip_sides ) THEN |
232 |
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sideMaskFac = sideDragFactor |
233 |
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ELSE |
234 |
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sideMaskFac = 0. _d 0 |
235 |
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ENDIF |
236 |
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237 |
IF ( no_slip_bottom |
IF ( no_slip_bottom |
238 |
& .OR. bottomDragQuadratic.NE.0. |
& .OR. bottomDragQuadratic.NE.0. |
242 |
bottomDragTerms=.FALSE. |
bottomDragTerms=.FALSE. |
243 |
ENDIF |
ENDIF |
244 |
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C-- with stagger time stepping, grad Phi_Hyp is directly incoporated in TIMESTEP |
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IF (staggerTimeStep) THEN |
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phxFac = 0. |
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phyFac = 0. |
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ENDIF |
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245 |
C-- Calculate open water fraction at vorticity points |
C-- Calculate open water fraction at vorticity points |
246 |
CALL MOM_CALC_HFACZ(bi,bj,k,hFacZ,r_hFacZ,myThid) |
CALL MOM_CALC_HFACZ(bi,bj,k,hFacZ,r_hFacZ,myThid) |
247 |
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|
249 |
C Calculate tracer cell face open areas |
C Calculate tracer cell face open areas |
250 |
DO j=1-OLy,sNy+OLy |
DO j=1-OLy,sNy+OLy |
251 |
DO i=1-OLx,sNx+OLx |
DO i=1-OLx,sNx+OLx |
252 |
xA(i,j) = _dyG(i,j,bi,bj) |
xA(i,j) = _dyG(i,j,bi,bj)*deepFacC(k) |
253 |
& *drF(k)*_hFacW(i,j,k,bi,bj) |
& *drF(k)*_hFacW(i,j,k,bi,bj) |
254 |
yA(i,j) = _dxG(i,j,bi,bj) |
yA(i,j) = _dxG(i,j,bi,bj)*deepFacC(k) |
255 |
& *drF(k)*_hFacS(i,j,k,bi,bj) |
& *drF(k)*_hFacS(i,j,k,bi,bj) |
256 |
ENDDO |
ENDDO |
257 |
ENDDO |
ENDDO |
258 |
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265 |
ENDDO |
ENDDO |
266 |
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267 |
C Calculate velocity field "volume transports" through tracer cell faces. |
C Calculate velocity field "volume transports" through tracer cell faces. |
268 |
|
C anelastic: transports are scaled by rhoFacC (~ mass transport) |
269 |
DO j=1-OLy,sNy+OLy |
DO j=1-OLy,sNy+OLy |
270 |
DO i=1-OLx,sNx+OLx |
DO i=1-OLx,sNx+OLx |
271 |
uTrans(i,j) = uFld(i,j)*xA(i,j) |
uTrans(i,j) = uFld(i,j)*xA(i,j)*rhoFacC(k) |
272 |
vTrans(i,j) = vFld(i,j)*yA(i,j) |
vTrans(i,j) = vFld(i,j)*yA(i,j)*rhoFacC(k) |
273 |
ENDDO |
ENDDO |
274 |
ENDDO |
ENDDO |
275 |
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|
276 |
CALL MOM_CALC_KE(bi,bj,k,uFld,vFld,KE,myThid) |
CALL MOM_CALC_KE(bi,bj,k,2,uFld,vFld,KE,myThid) |
277 |
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IF ( momViscosity) THEN |
278 |
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CALL MOM_CALC_HDIV(bi,bj,k,2,uFld,vFld,hDiv,myThid) |
279 |
|
CALL MOM_CALC_RELVORT3(bi,bj,k,uFld,vFld,hFacZ,vort3,myThid) |
280 |
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CALL MOM_CALC_TENSION(bi,bj,k,uFld,vFld,tension,myThid) |
281 |
|
CALL MOM_CALC_STRAIN(bi,bj,k,uFld,vFld,hFacZ,strain,myThid) |
282 |
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DO j=1-Oly,sNy+Oly |
283 |
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DO i=1-Olx,sNx+Olx |
284 |
|
IF ( hFacZ(i,j).EQ.0. ) THEN |
285 |
|
vort3(i,j) = sideMaskFac*vort3(i,j) |
286 |
|
strain(i,j) = sideMaskFac*strain(i,j) |
287 |
|
ENDIF |
288 |
|
ENDDO |
289 |
|
ENDDO |
290 |
|
#ifdef ALLOW_DIAGNOSTICS |
291 |
|
IF ( useDiagnostics ) THEN |
292 |
|
CALL DIAGNOSTICS_FILL(hDiv, 'momHDiv ',k,1,2,bi,bj,myThid) |
293 |
|
CALL DIAGNOSTICS_FILL(vort3, 'momVort3',k,1,2,bi,bj,myThid) |
294 |
|
CALL DIAGNOSTICS_FILL(tension,'Tension ',k,1,2,bi,bj,myThid) |
295 |
|
CALL DIAGNOSTICS_FILL(strain, 'Strain ',k,1,2,bi,bj,myThid) |
296 |
|
ENDIF |
297 |
|
#endif |
298 |
|
ENDIF |
299 |
|
|
300 |
C---- Zonal momentum equation starts here |
C--- First call (k=1): compute vertical adv. flux fVerU(kUp) & fVerV(kUp) |
301 |
|
IF (momAdvection.AND.k.EQ.1) THEN |
302 |
|
|
303 |
C Bi-harmonic term del^2 U -> v4F |
C- Calculate vertical transports above U & V points (West & South face): |
|
IF (momViscosity) |
|
|
& CALL MOM_U_DEL2U(bi,bj,k,uFld,hFacZ,v4f,myThid) |
|
304 |
|
|
305 |
C--- Calculate mean and eddy fluxes between cells for zonal flow. |
#ifdef ALLOW_AUTODIFF_TAMC |
306 |
|
# ifdef NONLIN_FRSURF |
307 |
|
# ifndef DISABLE_RSTAR_CODE |
308 |
|
CADJ STORE dwtransc(:,:,bi,bj) = |
309 |
|
CADJ & comlev1_bibj_k, key = imomkey, byte = isbyte |
310 |
|
CADJ STORE dwtransu(:,:,bi,bj) = |
311 |
|
CADJ & comlev1_bibj_k, key = imomkey, byte = isbyte |
312 |
|
CADJ STORE dwtransv(:,:,bi,bj) = |
313 |
|
CADJ & comlev1_bibj_k, key = imomkey, byte = isbyte |
314 |
|
# endif |
315 |
|
# endif /* NONLIN_FRSURF */ |
316 |
|
#endif /* ALLOW_AUTODIFF_TAMC */ |
317 |
|
CALL MOM_CALC_RTRANS( k, bi, bj, |
318 |
|
O rTransU, rTransV, |
319 |
|
I myTime, myIter, myThid) |
320 |
|
|
321 |
|
C- Free surface correction term (flux at k=1) |
322 |
|
CALL MOM_U_ADV_WU( bi,bj,k,uVel,wVel,rTransU, |
323 |
|
O fVerU(1-OLx,1-OLy,kUp), myThid ) |
324 |
|
|
325 |
|
CALL MOM_V_ADV_WV( bi,bj,k,vVel,wVel,rTransV, |
326 |
|
O fVerV(1-OLx,1-OLy,kUp), myThid ) |
327 |
|
|
328 |
|
C--- endif momAdvection & k=1 |
329 |
|
ENDIF |
330 |
|
|
|
C-- Zonal flux (fZon is at east face of "u" cell) |
|
331 |
|
|
332 |
C Mean flow component of zonal flux -> aF |
C--- Calculate vertical transports (at k+1) below U & V points : |
333 |
IF (momAdvection) |
IF (momAdvection) THEN |
334 |
& CALL MOM_U_ADV_UU(bi,bj,k,uTrans,uFld,aF,myThid) |
CALL MOM_CALC_RTRANS( k+1, bi, bj, |
335 |
|
O rTransU, rTransV, |
336 |
C Laplacian and bi-harmonic terms -> vF |
I myTime, myIter, myThid) |
337 |
IF (momViscosity) |
ENDIF |
338 |
& CALL MOM_U_XVISCFLUX(bi,bj,k,uFld,v4F,vF,myThid) |
|
339 |
|
IF (momViscosity) THEN |
340 |
|
CALL MOM_CALC_VISC( |
341 |
|
I bi,bj,k, |
342 |
|
O viscAh_Z,viscAh_D,viscA4_Z,viscA4_D, |
343 |
|
O harmonic,biharmonic,useVariableViscosity, |
344 |
|
I hDiv,vort3,tension,strain,KE,hFacZ, |
345 |
|
I myThid) |
346 |
|
ENDIF |
347 |
|
|
348 |
|
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
349 |
|
|
350 |
C Combine fluxes -> fZon |
C---- Zonal momentum equation starts here |
|
DO j=jMin,jMax |
|
|
DO i=iMin,iMax |
|
|
fZon(i,j) = uDudxFac*aF(i,j) + AhDudxFac*vF(i,j) |
|
|
ENDDO |
|
|
ENDDO |
|
351 |
|
|
352 |
C-- Meridional flux (fMer is at south face of "u" cell) |
IF (momAdvection) THEN |
353 |
|
C--- Calculate mean fluxes (advection) between cells for zonal flow. |
354 |
|
|
355 |
C Mean flow component of meridional flux |
C-- Zonal flux (fZon is at east face of "u" cell) |
356 |
IF (momAdvection) |
C Mean flow component of zonal flux -> fZon |
357 |
& CALL MOM_U_ADV_VU(bi,bj,k,vTrans,uFld,aF,myThid) |
CALL MOM_U_ADV_UU(bi,bj,k,uTrans,uFld,fZon,myThid) |
|
|
|
|
C Laplacian and bi-harmonic term |
|
|
IF (momViscosity) |
|
|
& CALL MOM_U_YVISCFLUX(bi,bj,k,uFld,v4F,hFacZ,vF,myThid) |
|
358 |
|
|
359 |
C Combine fluxes -> fMer |
C-- Meridional flux (fMer is at south face of "u" cell) |
360 |
DO j=jMin,jMax |
C Mean flow component of meridional flux -> fMer |
361 |
DO i=iMin,iMax |
CALL MOM_U_ADV_VU(bi,bj,k,vTrans,uFld,fMer,myThid) |
|
fMer(i,j) = vDudyFac*aF(i,j) + AhDudyFac*vF(i,j) |
|
|
ENDDO |
|
|
ENDDO |
|
362 |
|
|
363 |
C-- Vertical flux (fVer is at upper face of "u" cell) |
C-- Vertical flux (fVer is at upper face of "u" cell) |
364 |
|
C Mean flow component of vertical flux (at k+1) -> fVer |
365 |
|
CALL MOM_U_ADV_WU( |
366 |
|
I bi,bj,k+1,uVel,wVel,rTransU, |
367 |
|
O fVerU(1-OLx,1-OLy,kDown), myThid ) |
368 |
|
|
369 |
C-- Free surface correction term (flux at k=1) |
C-- Tendency is minus divergence of the fluxes + coriolis + pressure term |
370 |
IF (momAdvection.AND.k.EQ.1) THEN |
DO j=jMin,jMax |
371 |
CALL MOM_U_ADV_WU(bi,bj,k,uVel,wVel,af,myThid) |
DO i=iMin,iMax |
372 |
DO j=jMin,jMax |
gU(i,j,k,bi,bj) = |
373 |
DO i=iMin,iMax |
#ifdef OLD_UV_GEOM |
374 |
fVerU(i,j,kUp) = af(i,j) |
& -_recip_hFacW(i,j,k,bi,bj)*recip_drF(k)/ |
375 |
|
& ( 0.5 _d 0*(rA(i,j,bi,bj)+rA(i-1,j,bi,bj)) ) |
376 |
|
#else |
377 |
|
& -_recip_hFacW(i,j,k,bi,bj)*recip_drF(k) |
378 |
|
& *recip_rAw(i,j,bi,bj)*recip_deepFac2C(k)*recip_rhoFacC(k) |
379 |
|
#endif |
380 |
|
& *( ( fZon(i,j ) - fZon(i-1,j) )*uDudxFac |
381 |
|
& +( fMer(i,j+1) - fMer(i, j) )*vDudyFac |
382 |
|
& +(fVerU(i,j,kDown) - fVerU(i,j,kUp))*rkSign*rVelDudrFac |
383 |
|
& ) |
384 |
|
ENDDO |
385 |
ENDDO |
ENDDO |
|
ENDDO |
|
|
ENDIF |
|
|
C Mean flow component of vertical flux (at k+1) -> aF |
|
|
IF (momAdvection) |
|
|
& CALL MOM_U_ADV_WU(bi,bj,k+1,uVel,wVel,af,myThid) |
|
386 |
|
|
387 |
C Eddy component of vertical flux (interior component only) -> vrF |
#ifdef ALLOW_DIAGNOSTICS |
388 |
IF (momViscosity.AND..NOT.implicitViscosity) |
IF ( useDiagnostics ) THEN |
389 |
& CALL MOM_U_RVISCFLUX(bi,bj,k,uVel,KappaRU,vrF,myThid) |
CALL DIAGNOSTICS_FILL(fZon,'ADVx_Um ',k,1,2,bi,bj,myThid) |
390 |
|
CALL DIAGNOSTICS_FILL(fMer,'ADVy_Um ',k,1,2,bi,bj,myThid) |
391 |
|
CALL DIAGNOSTICS_FILL(fVerU(1-Olx,1-Oly,kUp), |
392 |
|
& 'ADVrE_Um',k,1,2,bi,bj,myThid) |
393 |
|
ENDIF |
394 |
|
#endif |
395 |
|
|
396 |
C Combine fluxes |
#ifdef NONLIN_FRSURF |
397 |
DO j=jMin,jMax |
C-- account for 3.D divergence of the flow in rStar coordinate: |
398 |
DO i=iMin,iMax |
# ifndef DISABLE_RSTAR_CODE |
399 |
fVerU(i,j,kDown) = rVelDudrFac*aF(i,j) + ArDudrFac*vrF(i,j) |
IF ( select_rStar.GT.0 ) THEN |
400 |
ENDDO |
DO j=jMin,jMax |
401 |
ENDDO |
DO i=iMin,iMax |
402 |
|
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj) |
403 |
|
& - (rStarExpW(i,j,bi,bj) - 1. _d 0)/deltaTfreesurf |
404 |
|
& *uVel(i,j,k,bi,bj) |
405 |
|
ENDDO |
406 |
|
ENDDO |
407 |
|
ENDIF |
408 |
|
IF ( select_rStar.LT.0 ) THEN |
409 |
|
DO j=jMin,jMax |
410 |
|
DO i=iMin,iMax |
411 |
|
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj) |
412 |
|
& - rStarDhWDt(i,j,bi,bj)*uVel(i,j,k,bi,bj) |
413 |
|
ENDDO |
414 |
|
ENDDO |
415 |
|
ENDIF |
416 |
|
# endif /* DISABLE_RSTAR_CODE */ |
417 |
|
#endif /* NONLIN_FRSURF */ |
418 |
|
|
419 |
C--- Hydrostatic term ( -1/rhoConst . dphi/dx ) |
ELSE |
420 |
IF (momPressureForcing) THEN |
C- if momAdvection / else |
421 |
DO j=jMin,jMax |
DO j=1-OLy,sNy+OLy |
422 |
DO i=iMin,iMax |
DO i=1-OLx,sNx+OLx |
423 |
pf(i,j) = - _recip_dxC(i,j,bi,bj) |
gU(i,j,k,bi,bj) = 0. _d 0 |
424 |
& *(phi_hyd(i,j,k)-phi_hyd(i-1,j,k)) |
ENDDO |
425 |
ENDDO |
ENDDO |
426 |
ENDDO |
|
427 |
|
C- endif momAdvection. |
428 |
ENDIF |
ENDIF |
429 |
|
|
430 |
C-- Tendency is minus divergence of the fluxes + coriolis + pressure term |
IF (momViscosity) THEN |
431 |
DO j=jMin,jMax |
C--- Calculate eddy fluxes (dissipation) between cells for zonal flow. |
432 |
DO i=iMin,iMax |
|
433 |
gU(i,j,k,bi,bj) = |
C Bi-harmonic term del^2 U -> v4F |
434 |
|
IF (biharmonic) |
435 |
|
& CALL MOM_U_DEL2U(bi,bj,k,uFld,hFacZ,v4f,myThid) |
436 |
|
|
437 |
|
C Laplacian and bi-harmonic terms, Zonal Fluxes -> fZon |
438 |
|
CALL MOM_U_XVISCFLUX(bi,bj,k,uFld,v4F,fZon, |
439 |
|
I viscAh_D,viscA4_D,myThid) |
440 |
|
|
441 |
|
C Laplacian and bi-harmonic termis, Merid Fluxes -> fMer |
442 |
|
CALL MOM_U_YVISCFLUX(bi,bj,k,uFld,v4F,hFacZ,fMer, |
443 |
|
I viscAh_Z,viscA4_Z,myThid) |
444 |
|
|
445 |
|
C Eddy component of vertical flux (interior component only) -> fVrUp & fVrDw |
446 |
|
IF (.NOT.implicitViscosity) THEN |
447 |
|
CALL MOM_U_RVISCFLUX(bi,bj, k, uVel,KappaRU,fVrUp,myThid) |
448 |
|
CALL MOM_U_RVISCFLUX(bi,bj,k+1,uVel,KappaRU,fVrDw,myThid) |
449 |
|
ENDIF |
450 |
|
|
451 |
|
C-- Tendency is minus divergence of the fluxes |
452 |
|
C anelastic: hor.visc.fluxes are not scaled by rhoFac (by vert.visc.flx is) |
453 |
|
DO j=jMin,jMax |
454 |
|
DO i=iMin,iMax |
455 |
|
guDiss(i,j) = |
456 |
#ifdef OLD_UV_GEOM |
#ifdef OLD_UV_GEOM |
457 |
& -_recip_hFacW(i,j,k,bi,bj)*recip_drF(k)/ |
& -_recip_hFacW(i,j,k,bi,bj)*recip_drF(k)/ |
458 |
& ( 0.5 _d 0*(rA(i,j,bi,bj)+rA(i-1,j,bi,bj)) ) |
& ( 0.5 _d 0*(rA(i,j,bi,bj)+rA(i-1,j,bi,bj)) ) |
459 |
#else |
#else |
460 |
& -_recip_hFacW(i,j,k,bi,bj)*recip_drF(k) |
& -_recip_hFacW(i,j,k,bi,bj)*recip_drF(k) |
461 |
& *recip_rAw(i,j,bi,bj) |
& *recip_rAw(i,j,bi,bj)*recip_deepFac2C(k) |
462 |
#endif |
#endif |
463 |
& *(fZon(i,j ) - fZon(i-1,j) |
& *( ( fZon(i,j ) - fZon(i-1,j) )*AhDudxFac |
464 |
& +fMer(i,j+1) - fMer(i ,j) |
& +( fMer(i,j+1) - fMer(i, j) )*AhDudyFac |
465 |
& +fVerU(i,j,kUp)*rkFac - fVerU(i,j,kDown)*rkFac |
& +( fVrDw(i,j) - fVrUp(i,j) )*rkSign*ArDudrFac |
466 |
& ) |
& *recip_rhoFacC(k) |
467 |
& _PHM( +phxFac * pf(i,j) ) |
& ) |
468 |
ENDDO |
ENDDO |
469 |
ENDDO |
ENDDO |
470 |
|
|
471 |
C-- No-slip and drag BCs appear as body forces in cell abutting topography |
#ifdef ALLOW_DIAGNOSTICS |
472 |
IF (momViscosity.AND.no_slip_sides) THEN |
IF ( useDiagnostics ) THEN |
473 |
|
CALL DIAGNOSTICS_FILL(fZon, 'VISCx_Um',k,1,2,bi,bj,myThid) |
474 |
|
CALL DIAGNOSTICS_FILL(fMer, 'VISCy_Um',k,1,2,bi,bj,myThid) |
475 |
|
IF (.NOT.implicitViscosity) |
476 |
|
& CALL DIAGNOSTICS_FILL(fVrUp,'VISrE_Um',k,1,2,bi,bj,myThid) |
477 |
|
ENDIF |
478 |
|
#endif |
479 |
|
|
480 |
|
C-- No-slip and drag BCs appear as body forces in cell abutting topography |
481 |
|
IF (no_slip_sides) THEN |
482 |
C- No-slip BCs impose a drag at walls... |
C- No-slip BCs impose a drag at walls... |
483 |
CALL MOM_U_SIDEDRAG(bi,bj,k,uFld,v4F,hFacZ,vF,myThid) |
CALL MOM_U_SIDEDRAG( |
484 |
DO j=jMin,jMax |
I bi,bj,k, |
485 |
DO i=iMin,iMax |
I uFld, v4f, hFacZ, |
486 |
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+vF(i,j) |
I viscAh_Z,viscA4_Z, |
487 |
ENDDO |
I harmonic,biharmonic,useVariableViscosity, |
488 |
ENDDO |
O vF, |
489 |
ENDIF |
I myThid) |
490 |
|
DO j=jMin,jMax |
491 |
|
DO i=iMin,iMax |
492 |
|
gUdiss(i,j) = gUdiss(i,j) + vF(i,j) |
493 |
|
ENDDO |
494 |
|
ENDDO |
495 |
|
ENDIF |
496 |
C- No-slip BCs impose a drag at bottom |
C- No-slip BCs impose a drag at bottom |
497 |
IF (momViscosity.AND.bottomDragTerms) THEN |
IF (bottomDragTerms) THEN |
498 |
CALL MOM_U_BOTTOMDRAG(bi,bj,k,uFld,KE,KappaRU,vF,myThid) |
CALL MOM_U_BOTTOMDRAG(bi,bj,k,uFld,KE,KappaRU,vF,myThid) |
499 |
|
DO j=jMin,jMax |
500 |
|
DO i=iMin,iMax |
501 |
|
gUdiss(i,j) = gUdiss(i,j) + vF(i,j) |
502 |
|
ENDDO |
503 |
|
ENDDO |
504 |
|
ENDIF |
505 |
|
|
506 |
|
#ifdef ALLOW_SHELFICE |
507 |
|
IF (useShelfIce) THEN |
508 |
|
CALL SHELFICE_U_DRAG(bi,bj,k,uFld,KE,KappaRU,vF,myThid) |
509 |
|
DO j=jMin,jMax |
510 |
|
DO i=iMin,iMax |
511 |
|
gUdiss(i,j) = gUdiss(i,j) + vF(i,j) |
512 |
|
ENDDO |
513 |
|
ENDDO |
514 |
|
ENDIF |
515 |
|
#endif /* ALLOW_SHELFICE */ |
516 |
|
|
517 |
|
C- endif momViscosity |
518 |
|
ENDIF |
519 |
|
|
520 |
|
C-- Forcing term (moved to timestep.F) |
521 |
|
c IF (momForcing) |
522 |
|
c & CALL EXTERNAL_FORCING_U( |
523 |
|
c I iMin,iMax,jMin,jMax,bi,bj,k, |
524 |
|
c I myTime,myThid) |
525 |
|
|
526 |
|
C-- Metric terms for curvilinear grid systems |
527 |
|
IF (useNHMTerms) THEN |
528 |
|
C o Non-Hydrostatic (spherical) metric terms |
529 |
|
CALL MOM_U_METRIC_NH(bi,bj,k,uFld,wVel,mT,myThid) |
530 |
DO j=jMin,jMax |
DO j=jMin,jMax |
531 |
DO i=iMin,iMax |
DO i=iMin,iMax |
532 |
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+vF(i,j) |
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+mtNHFacU*mT(i,j) |
533 |
ENDDO |
ENDDO |
534 |
ENDDO |
ENDDO |
535 |
ENDIF |
ENDIF |
536 |
|
IF ( usingSphericalPolarGrid .AND. metricTerms ) THEN |
|
C-- Forcing term |
|
|
IF (momForcing) |
|
|
& CALL EXTERNAL_FORCING_U( |
|
|
I iMin,iMax,jMin,jMax,bi,bj,k, |
|
|
I myCurrentTime,myThid) |
|
|
|
|
|
C-- Metric terms for curvilinear grid systems |
|
|
IF (usingSphericalPolarMTerms) THEN |
|
537 |
C o Spherical polar grid metric terms |
C o Spherical polar grid metric terms |
538 |
CALL MOM_U_METRIC_NH(bi,bj,k,uFld,wVel,mT,myThid) |
CALL MOM_U_METRIC_SPHERE(bi,bj,k,uFld,vFld,mT,myThid) |
539 |
DO j=jMin,jMax |
DO j=jMin,jMax |
540 |
DO i=iMin,iMax |
DO i=iMin,iMax |
541 |
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+mTFacU*mT(i,j) |
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+mtFacU*mT(i,j) |
542 |
ENDDO |
ENDDO |
543 |
ENDDO |
ENDDO |
544 |
CALL MOM_U_METRIC_SPHERE(bi,bj,k,uFld,vFld,mT,myThid) |
ENDIF |
545 |
|
IF ( usingCylindricalGrid .AND. metricTerms ) THEN |
546 |
|
C o Cylindrical grid metric terms |
547 |
|
CALL MOM_U_METRIC_CYLINDER(bi,bj,k,uFld,vFld,mT,myThid) |
548 |
DO j=jMin,jMax |
DO j=jMin,jMax |
549 |
DO i=iMin,iMax |
DO i=iMin,iMax |
550 |
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+mTFacU*mT(i,j) |
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+mtFacU*mT(i,j) |
551 |
ENDDO |
ENDDO |
552 |
ENDDO |
ENDDO |
553 |
ENDIF |
ENDIF |
554 |
|
|
555 |
C-- Set du/dt on boundaries to zero |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
|
DO j=jMin,jMax |
|
|
DO i=iMin,iMax |
|
|
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)*_maskW(i,j,k,bi,bj) |
|
|
ENDDO |
|
|
ENDDO |
|
|
|
|
556 |
|
|
557 |
C---- Meridional momentum equation starts here |
C---- Meridional momentum equation starts here |
558 |
|
|
559 |
C Bi-harmonic term del^2 V -> v4F |
IF (momAdvection) THEN |
560 |
IF (momViscosity) |
C--- Calculate mean fluxes (advection) between cells for meridional flow. |
561 |
& CALL MOM_V_DEL2V(bi,bj,k,vFld,hFacZ,v4f,myThid) |
C Mean flow component of zonal flux -> fZon |
562 |
|
CALL MOM_V_ADV_UV(bi,bj,k,uTrans,vFld,fZon,myThid) |
|
C--- Calculate mean and eddy fluxes between cells for meridional flow. |
|
|
|
|
|
C-- Zonal flux (fZon is at west face of "v" cell) |
|
|
|
|
|
C Mean flow component of zonal flux -> aF |
|
|
IF (momAdvection) |
|
|
& CALL MOM_V_ADV_UV(bi,bj,k,uTrans,vFld,af,myThid) |
|
|
|
|
|
C Laplacian and bi-harmonic terms -> vF |
|
|
IF (momViscosity) |
|
|
& CALL MOM_V_XVISCFLUX(bi,bj,k,vFld,v4f,hFacZ,vf,myThid) |
|
|
|
|
|
C Combine fluxes -> fZon |
|
|
DO j=jMin,jMax |
|
|
DO i=iMin,iMax |
|
|
fZon(i,j) = uDvdxFac*aF(i,j) + AhDvdxFac*vF(i,j) |
|
|
ENDDO |
|
|
ENDDO |
|
563 |
|
|
564 |
C-- Meridional flux (fMer is at north face of "v" cell) |
C-- Meridional flux (fMer is at north face of "v" cell) |
565 |
|
C Mean flow component of meridional flux -> fMer |
566 |
C Mean flow component of meridional flux |
CALL MOM_V_ADV_VV(bi,bj,k,vTrans,vFld,fMer,myThid) |
|
IF (momAdvection) |
|
|
& CALL MOM_V_ADV_VV(bi,bj,k,vTrans,vFld,af,myThid) |
|
|
|
|
|
C Laplacian and bi-harmonic term |
|
|
IF (momViscosity) |
|
|
& CALL MOM_V_YVISCFLUX(bi,bj,k,vFld,v4f,vf,myThid) |
|
|
|
|
|
C Combine fluxes -> fMer |
|
|
DO j=jMin,jMax |
|
|
DO i=iMin,iMax |
|
|
fMer(i,j) = vDvdyFac*aF(i,j) + AhDvdyFac*vF(i,j) |
|
|
ENDDO |
|
|
ENDDO |
|
567 |
|
|
568 |
C-- Vertical flux (fVer is at upper face of "v" cell) |
C-- Vertical flux (fVer is at upper face of "v" cell) |
569 |
|
C Mean flow component of vertical flux (at k+1) -> fVerV |
570 |
|
CALL MOM_V_ADV_WV( |
571 |
|
I bi,bj,k+1,vVel,wVel,rTransV, |
572 |
|
O fVerV(1-OLx,1-OLy,kDown), myThid ) |
573 |
|
|
574 |
C-- Free surface correction term (flux at k=1) |
C-- Tendency is minus divergence of the fluxes + coriolis + pressure term |
575 |
IF (momAdvection.AND.k.EQ.1) THEN |
DO j=jMin,jMax |
576 |
CALL MOM_V_ADV_WV(bi,bj,k,vVel,wVel,af,myThid) |
DO i=iMin,iMax |
577 |
DO j=jMin,jMax |
gV(i,j,k,bi,bj) = |
578 |
DO i=iMin,iMax |
#ifdef OLD_UV_GEOM |
579 |
fVerV(i,j,kUp) = af(i,j) |
& -_recip_hFacS(i,j,k,bi,bj)*recip_drF(k)/ |
580 |
|
& ( 0.5 _d 0*(_rA(i,j,bi,bj)+_rA(i,j-1,bi,bj)) ) |
581 |
|
#else |
582 |
|
& -_recip_hFacS(i,j,k,bi,bj)*recip_drF(k) |
583 |
|
& *recip_rAs(i,j,bi,bj)*recip_deepFac2C(k)*recip_rhoFacC(k) |
584 |
|
#endif |
585 |
|
& *( ( fZon(i+1,j) - fZon(i,j ) )*uDvdxFac |
586 |
|
& +( fMer(i, j) - fMer(i,j-1) )*vDvdyFac |
587 |
|
& +(fVerV(i,j,kDown) - fVerV(i,j,kUp))*rkSign*rVelDvdrFac |
588 |
|
& ) |
589 |
|
ENDDO |
590 |
ENDDO |
ENDDO |
|
ENDDO |
|
|
ENDIF |
|
|
C o Mean flow component of vertical flux |
|
|
IF (momAdvection) |
|
|
& CALL MOM_V_ADV_WV(bi,bj,k+1,vVel,wVel,af,myThid) |
|
591 |
|
|
592 |
C Eddy component of vertical flux (interior component only) -> vrF |
#ifdef ALLOW_DIAGNOSTICS |
593 |
IF (momViscosity.AND..NOT.implicitViscosity) |
IF ( useDiagnostics ) THEN |
594 |
& CALL MOM_V_RVISCFLUX(bi,bj,k,vVel,KappaRV,vrf,myThid) |
CALL DIAGNOSTICS_FILL(fZon,'ADVx_Vm ',k,1,2,bi,bj,myThid) |
595 |
|
CALL DIAGNOSTICS_FILL(fMer,'ADVy_Vm ',k,1,2,bi,bj,myThid) |
596 |
|
CALL DIAGNOSTICS_FILL(fVerV(1-Olx,1-Oly,kUp), |
597 |
|
& 'ADVrE_Vm',k,1,2,bi,bj,myThid) |
598 |
|
ENDIF |
599 |
|
#endif |
600 |
|
|
601 |
C Combine fluxes -> fVerV |
#ifdef NONLIN_FRSURF |
602 |
DO j=jMin,jMax |
C-- account for 3.D divergence of the flow in rStar coordinate: |
603 |
DO i=iMin,iMax |
# ifndef DISABLE_RSTAR_CODE |
604 |
fVerV(i,j,kDown) = rVelDvdrFac*aF(i,j) + ArDvdrFac*vrF(i,j) |
IF ( select_rStar.GT.0 ) THEN |
605 |
ENDDO |
DO j=jMin,jMax |
606 |
ENDDO |
DO i=iMin,iMax |
607 |
|
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj) |
608 |
|
& - (rStarExpS(i,j,bi,bj) - 1. _d 0)/deltaTfreesurf |
609 |
|
& *vVel(i,j,k,bi,bj) |
610 |
|
ENDDO |
611 |
|
ENDDO |
612 |
|
ENDIF |
613 |
|
IF ( select_rStar.LT.0 ) THEN |
614 |
|
DO j=jMin,jMax |
615 |
|
DO i=iMin,iMax |
616 |
|
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj) |
617 |
|
& - rStarDhSDt(i,j,bi,bj)*vVel(i,j,k,bi,bj) |
618 |
|
ENDDO |
619 |
|
ENDDO |
620 |
|
ENDIF |
621 |
|
# endif /* DISABLE_RSTAR_CODE */ |
622 |
|
#endif /* NONLIN_FRSURF */ |
623 |
|
|
624 |
C--- Hydorstatic term (-1/rhoConst . dphi/dy ) |
ELSE |
625 |
IF (momPressureForcing) THEN |
C- if momAdvection / else |
626 |
DO j=jMin,jMax |
DO j=1-OLy,sNy+OLy |
627 |
DO i=iMin,iMax |
DO i=1-OLx,sNx+OLx |
628 |
pF(i,j) = -_recip_dyC(i,j,bi,bj) |
gV(i,j,k,bi,bj) = 0. _d 0 |
629 |
& *(phi_hyd(i,j,k)-phi_hyd(i,j-1,k)) |
ENDDO |
630 |
ENDDO |
ENDDO |
631 |
ENDDO |
|
632 |
|
C- endif momAdvection. |
633 |
ENDIF |
ENDIF |
634 |
|
|
635 |
|
IF (momViscosity) THEN |
636 |
|
C--- Calculate eddy fluxes (dissipation) between cells for meridional flow. |
637 |
|
C Bi-harmonic term del^2 V -> v4F |
638 |
|
IF (biharmonic) |
639 |
|
& CALL MOM_V_DEL2V(bi,bj,k,vFld,hFacZ,v4f,myThid) |
640 |
|
|
641 |
|
C Laplacian and bi-harmonic terms, Zonal Fluxes -> fZon |
642 |
|
CALL MOM_V_XVISCFLUX(bi,bj,k,vFld,v4f,hFacZ,fZon, |
643 |
|
I viscAh_Z,viscA4_Z,myThid) |
644 |
|
|
645 |
|
C Laplacian and bi-harmonic termis, Merid Fluxes -> fMer |
646 |
|
CALL MOM_V_YVISCFLUX(bi,bj,k,vFld,v4f,fMer, |
647 |
|
I viscAh_D,viscA4_D,myThid) |
648 |
|
|
649 |
|
C Eddy component of vertical flux (interior component only) -> fVrUp & fVrDw |
650 |
|
IF (.NOT.implicitViscosity) THEN |
651 |
|
CALL MOM_V_RVISCFLUX(bi,bj, k, vVel,KappaRV,fVrUp,myThid) |
652 |
|
CALL MOM_V_RVISCFLUX(bi,bj,k+1,vVel,KappaRV,fVrDw,myThid) |
653 |
|
ENDIF |
654 |
|
|
655 |
C-- Tendency is minus divergence of the fluxes + coriolis + pressure term |
C-- Tendency is minus divergence of the fluxes + coriolis + pressure term |
656 |
DO j=jMin,jMax |
C anelastic: hor.visc.fluxes are not scaled by rhoFac (by vert.visc.flx is) |
657 |
DO i=iMin,iMax |
DO j=jMin,jMax |
658 |
gV(i,j,k,bi,bj) = |
DO i=iMin,iMax |
659 |
|
gvDiss(i,j) = |
660 |
#ifdef OLD_UV_GEOM |
#ifdef OLD_UV_GEOM |
661 |
& -_recip_hFacS(i,j,k,bi,bj)*recip_drF(k)/ |
& -_recip_hFacS(i,j,k,bi,bj)*recip_drF(k)/ |
662 |
& ( 0.5 _d 0*(_rA(i,j,bi,bj)+_rA(i,j-1,bi,bj)) ) |
& ( 0.5 _d 0*(_rA(i,j,bi,bj)+_rA(i,j-1,bi,bj)) ) |
663 |
#else |
#else |
664 |
& -_recip_hFacS(i,j,k,bi,bj)*recip_drF(k) |
& -_recip_hFacS(i,j,k,bi,bj)*recip_drF(k) |
665 |
& *recip_rAs(i,j,bi,bj) |
& *recip_rAs(i,j,bi,bj)*recip_deepFac2C(k) |
666 |
#endif |
#endif |
667 |
& *(fZon(i+1,j) - fZon(i,j ) |
& *( ( fZon(i+1,j) - fZon(i,j ) )*AhDvdxFac |
668 |
& +fMer(i,j ) - fMer(i,j-1) |
& +( fMer(i, j) - fMer(i,j-1) )*AhDvdyFac |
669 |
& +fVerV(i,j,kUp)*rkFac - fVerV(i,j,kDown)*rkFac |
& +( fVrDw(i,j) - fVrUp(i,j) )*rkSign*ArDvdrFac |
670 |
& ) |
& *recip_rhoFacC(k) |
671 |
& _PHM( +phyFac*pf(i,j) ) |
& ) |
672 |
ENDDO |
ENDDO |
673 |
ENDDO |
ENDDO |
674 |
|
|
675 |
C-- No-slip and drag BCs appear as body forces in cell abutting topography |
#ifdef ALLOW_DIAGNOSTICS |
676 |
IF (momViscosity.AND.no_slip_sides) THEN |
IF ( useDiagnostics ) THEN |
677 |
|
CALL DIAGNOSTICS_FILL(fZon, 'VISCx_Vm',k,1,2,bi,bj,myThid) |
678 |
|
CALL DIAGNOSTICS_FILL(fMer, 'VISCy_Vm',k,1,2,bi,bj,myThid) |
679 |
|
IF (.NOT.implicitViscosity) |
680 |
|
& CALL DIAGNOSTICS_FILL(fVrUp,'VISrE_Vm',k,1,2,bi,bj,myThid) |
681 |
|
ENDIF |
682 |
|
#endif |
683 |
|
|
684 |
|
C-- No-slip and drag BCs appear as body forces in cell abutting topography |
685 |
|
IF (no_slip_sides) THEN |
686 |
C- No-slip BCs impose a drag at walls... |
C- No-slip BCs impose a drag at walls... |
687 |
CALL MOM_V_SIDEDRAG(bi,bj,k,vFld,v4F,hFacZ,vF,myThid) |
CALL MOM_V_SIDEDRAG( |
688 |
DO j=jMin,jMax |
I bi,bj,k, |
689 |
DO i=iMin,iMax |
I vFld, v4f, hFacZ, |
690 |
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)+vF(i,j) |
I viscAh_Z,viscA4_Z, |
691 |
ENDDO |
I harmonic,biharmonic,useVariableViscosity, |
692 |
ENDDO |
O vF, |
693 |
ENDIF |
I myThid) |
694 |
|
DO j=jMin,jMax |
695 |
|
DO i=iMin,iMax |
696 |
|
gvDiss(i,j) = gvDiss(i,j) + vF(i,j) |
697 |
|
ENDDO |
698 |
|
ENDDO |
699 |
|
ENDIF |
700 |
C- No-slip BCs impose a drag at bottom |
C- No-slip BCs impose a drag at bottom |
701 |
IF (momViscosity.AND.bottomDragTerms) THEN |
IF (bottomDragTerms) THEN |
702 |
CALL MOM_V_BOTTOMDRAG(bi,bj,k,vFld,KE,KappaRV,vF,myThid) |
CALL MOM_V_BOTTOMDRAG(bi,bj,k,vFld,KE,KappaRV,vF,myThid) |
703 |
|
DO j=jMin,jMax |
704 |
|
DO i=iMin,iMax |
705 |
|
gvDiss(i,j) = gvDiss(i,j) + vF(i,j) |
706 |
|
ENDDO |
707 |
|
ENDDO |
708 |
|
ENDIF |
709 |
|
|
710 |
|
#ifdef ALLOW_SHELFICE |
711 |
|
IF (useShelfIce) THEN |
712 |
|
CALL SHELFICE_V_DRAG(bi,bj,k,vFld,KE,KappaRU,vF,myThid) |
713 |
|
DO j=jMin,jMax |
714 |
|
DO i=iMin,iMax |
715 |
|
gvDiss(i,j) = gvDiss(i,j) + vF(i,j) |
716 |
|
ENDDO |
717 |
|
ENDDO |
718 |
|
ENDIF |
719 |
|
#endif /* ALLOW_SHELFICE */ |
720 |
|
|
721 |
|
C- endif momViscosity |
722 |
|
ENDIF |
723 |
|
|
724 |
|
C-- Forcing term (moved to timestep.F) |
725 |
|
c IF (momForcing) |
726 |
|
c & CALL EXTERNAL_FORCING_V( |
727 |
|
c I iMin,iMax,jMin,jMax,bi,bj,k, |
728 |
|
c I myTime,myThid) |
729 |
|
|
730 |
|
C-- Metric terms for curvilinear grid systems |
731 |
|
IF (useNHMTerms) THEN |
732 |
|
C o Non-Hydrostatic (spherical) metric terms |
733 |
|
CALL MOM_V_METRIC_NH(bi,bj,k,vFld,wVel,mT,myThid) |
734 |
DO j=jMin,jMax |
DO j=jMin,jMax |
735 |
DO i=iMin,iMax |
DO i=iMin,iMax |
736 |
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)+vF(i,j) |
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)+mtNHFacV*mT(i,j) |
737 |
ENDDO |
ENDDO |
738 |
ENDDO |
ENDDO |
739 |
ENDIF |
ENDIF |
740 |
|
IF ( usingSphericalPolarGrid .AND. metricTerms ) THEN |
|
C-- Forcing term |
|
|
IF (momForcing) |
|
|
& CALL EXTERNAL_FORCING_V( |
|
|
I iMin,iMax,jMin,jMax,bi,bj,k, |
|
|
I myCurrentTime,myThid) |
|
|
|
|
|
C-- Metric terms for curvilinear grid systems |
|
|
IF (usingSphericalPolarMTerms) THEN |
|
741 |
C o Spherical polar grid metric terms |
C o Spherical polar grid metric terms |
742 |
CALL MOM_V_METRIC_NH(bi,bj,k,vFld,wVel,mT,myThid) |
CALL MOM_V_METRIC_SPHERE(bi,bj,k,uFld,mT,myThid) |
743 |
DO j=jMin,jMax |
DO j=jMin,jMax |
744 |
DO i=iMin,iMax |
DO i=iMin,iMax |
745 |
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)+mTFacV*mT(i,j) |
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)+mtFacV*mT(i,j) |
746 |
ENDDO |
ENDDO |
747 |
ENDDO |
ENDDO |
748 |
CALL MOM_V_METRIC_SPHERE(bi,bj,k,uFld,mT,myThid) |
ENDIF |
749 |
|
IF ( usingCylindricalGrid .AND. metricTerms ) THEN |
750 |
|
C o Cylindrical grid metric terms |
751 |
|
CALL MOM_V_METRIC_CYLINDER(bi,bj,k,uFld,vFld,mT,myThid) |
752 |
DO j=jMin,jMax |
DO j=jMin,jMax |
753 |
DO i=iMin,iMax |
DO i=iMin,iMax |
754 |
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)+mTFacV*mT(i,j) |
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)+mtFacV*mT(i,j) |
755 |
ENDDO |
ENDDO |
756 |
ENDDO |
ENDDO |
757 |
ENDIF |
ENDIF |
758 |
|
|
759 |
C-- Set dv/dt on boundaries to zero |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
|
DO j=jMin,jMax |
|
|
DO i=iMin,iMax |
|
|
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)*_maskS(i,j,k,bi,bj) |
|
|
ENDDO |
|
|
ENDDO |
|
760 |
|
|
761 |
C-- Coriolis term |
C-- Coriolis term |
762 |
C Note. As coded here, coriolis will not work with "thin walls" |
C Note. As coded here, coriolis will not work with "thin walls" |
763 |
#ifdef INCLUDE_CD_CODE |
c IF (useCDscheme) THEN |
764 |
CALL MOM_CDSCHEME(bi,bj,k,phi_hyd,myThid) |
c CALL MOM_CDSCHEME(bi,bj,k,dPhiHydX,dPhiHydY,myThid) |
765 |
#else |
c ELSE |
766 |
CALL MOM_U_CORIOLIS(bi,bj,k,vFld,cf,myThid) |
IF (.NOT.useCDscheme) THEN |
767 |
DO j=jMin,jMax |
CALL MOM_U_CORIOLIS(bi,bj,k,vFld,cf,myThid) |
768 |
DO i=iMin,iMax |
DO j=jMin,jMax |
769 |
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+fuFac*cf(i,j) |
DO i=iMin,iMax |
770 |
ENDDO |
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+fuFac*cf(i,j) |
771 |
ENDDO |
ENDDO |
772 |
CALL MOM_V_CORIOLIS(bi,bj,k,uFld,cf,myThid) |
ENDDO |
773 |
|
#ifdef ALLOW_DIAGNOSTICS |
774 |
|
IF ( useDiagnostics ) |
775 |
|
& CALL DIAGNOSTICS_FILL(cf,'Um_Cori ',k,1,2,bi,bj,myThid) |
776 |
|
#endif |
777 |
|
CALL MOM_V_CORIOLIS(bi,bj,k,uFld,cf,myThid) |
778 |
|
DO j=jMin,jMax |
779 |
|
DO i=iMin,iMax |
780 |
|
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)+fvFac*cf(i,j) |
781 |
|
ENDDO |
782 |
|
ENDDO |
783 |
|
#ifdef ALLOW_DIAGNOSTICS |
784 |
|
IF ( useDiagnostics ) |
785 |
|
& CALL DIAGNOSTICS_FILL(cf,'Vm_Cori ',k,1,2,bi,bj,myThid) |
786 |
|
#endif |
787 |
|
ENDIF |
788 |
|
|
789 |
|
C-- 3.D Coriolis term (horizontal momentum, Eastward component: -f'*w) |
790 |
|
IF ( use3dCoriolis ) THEN |
791 |
|
CALL MOM_U_CORIOLIS_NH(bi,bj,k,wVel,cf,myThid) |
792 |
|
DO j=jMin,jMax |
793 |
|
DO i=iMin,iMax |
794 |
|
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+fuFac*cf(i,j) |
795 |
|
ENDDO |
796 |
|
ENDDO |
797 |
|
IF ( usingCurvilinearGrid ) THEN |
798 |
|
C- presently, non zero angleSinC array only supported with Curvilinear-Grid |
799 |
|
CALL MOM_V_CORIOLIS_NH(bi,bj,k,wVel,cf,myThid) |
800 |
|
DO j=jMin,jMax |
801 |
|
DO i=iMin,iMax |
802 |
|
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)+fvFac*cf(i,j) |
803 |
|
ENDDO |
804 |
|
ENDDO |
805 |
|
ENDIF |
806 |
|
ENDIF |
807 |
|
|
808 |
|
C-- Set du/dt & dv/dt on boundaries to zero |
809 |
DO j=jMin,jMax |
DO j=jMin,jMax |
810 |
DO i=iMin,iMax |
DO i=iMin,iMax |
811 |
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)+fvFac*cf(i,j) |
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)*_maskW(i,j,k,bi,bj) |
812 |
|
guDiss(i,j) = guDiss(i,j) *_maskW(i,j,k,bi,bj) |
813 |
|
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)*_maskS(i,j,k,bi,bj) |
814 |
|
gvDiss(i,j) = gvDiss(i,j) *_maskS(i,j,k,bi,bj) |
815 |
ENDDO |
ENDDO |
816 |
ENDDO |
ENDDO |
817 |
#endif /* INCLUDE_CD_CODE */ |
|
818 |
|
#ifdef ALLOW_DIAGNOSTICS |
819 |
|
IF ( useDiagnostics ) THEN |
820 |
|
CALL DIAGNOSTICS_FILL(KE, 'momKE ',k,1,2,bi,bj,myThid) |
821 |
|
CALL DIAGNOSTICS_FILL(gU(1-Olx,1-Oly,k,bi,bj), |
822 |
|
& 'Um_Advec',k,1,2,bi,bj,myThid) |
823 |
|
CALL DIAGNOSTICS_FILL(gV(1-Olx,1-Oly,k,bi,bj), |
824 |
|
& 'Vm_Advec',k,1,2,bi,bj,myThid) |
825 |
|
IF (momViscosity) THEN |
826 |
|
CALL DIAGNOSTICS_FILL(guDiss,'Um_Diss ',k,1,2,bi,bj,myThid) |
827 |
|
CALL DIAGNOSTICS_FILL(gvDiss,'Vm_Diss ',k,1,2,bi,bj,myThid) |
828 |
|
ENDIF |
829 |
|
ENDIF |
830 |
|
#endif /* ALLOW_DIAGNOSTICS */ |
831 |
|
|
832 |
RETURN |
RETURN |
833 |
END |
END |