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 dPhihydX,dPhiHydY,KappaRU,KappaRV, |
I KappaRU, KappaRV, |
37 |
U fVerU, fVerV, |
U fVerU, fVerV, |
38 |
I myTime,myIter,myThid) |
O guDiss, gvDiss, |
39 |
|
I myTime, myIter, myThid) |
40 |
|
|
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 |
52 |
#include "PARAMS.h" |
#include "PARAMS.h" |
53 |
#include "GRID.h" |
#include "GRID.h" |
54 |
#include "SURFACE.h" |
#include "SURFACE.h" |
55 |
|
#ifdef ALLOW_AUTODIFF_TAMC |
56 |
|
# include "tamc.h" |
57 |
|
# include "tamc_keys.h" |
58 |
|
# include "MOM_FLUXFORM.h" |
59 |
|
#endif |
60 |
|
|
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 |
|
C dPhiHydX,Y :: Gradient (X & Y dir.) of Hydrostatic Potential |
|
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 |
70 |
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 |
71 |
|
C guDiss :: dissipation tendency (all explicit terms), u component |
72 |
|
C gvDiss :: dissipation tendency (all explicit terms), v component |
73 |
C myTime :: current time |
C myTime :: current time |
74 |
C myIter :: current time-step number |
C myIter :: current time-step number |
75 |
C myThid :: thread number |
C myThid :: thread number |
76 |
INTEGER bi,bj,iMin,iMax,jMin,jMax |
INTEGER bi,bj,iMin,iMax,jMin,jMax |
77 |
INTEGER k,kUp,kDown |
INTEGER k,kUp,kDown |
|
_RL dPhiHydX(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
|
|
_RL dPhiHydY(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
|
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) |
82 |
|
_RL guDiss(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
83 |
|
_RL gvDiss(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
84 |
_RL myTime |
_RL myTime |
85 |
INTEGER myIter |
INTEGER myIter |
86 |
INTEGER myThid |
INTEGER myThid |
90 |
|
|
91 |
C !LOCAL VARIABLES: ==================================================== |
C !LOCAL VARIABLES: ==================================================== |
92 |
C i,j :: loop indices |
C i,j :: loop indices |
|
C aF :: advective flux |
|
93 |
C vF :: viscous flux |
C vF :: viscous flux |
94 |
C v4F :: bi-harmonic viscous flux |
C v4F :: bi-harmonic viscous flux |
|
C vrF :: vertical viscous flux |
|
95 |
C cF :: Coriolis acceleration |
C cF :: Coriolis acceleration |
96 |
C mT :: Metric terms |
C mT :: Metric terms |
|
C pF :: Pressure gradient |
|
97 |
C fZon :: zonal fluxes |
C fZon :: zonal fluxes |
98 |
C fMer :: meridional fluxes |
C fMer :: meridional fluxes |
99 |
|
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 |
|
INTEGER imomkey |
103 |
|
#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) |
|
_RL vrF(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
|
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) |
|
_RL pF(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
|
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 vfFacMom |
114 |
C pfFacMom afFacMom - Advective terms |
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) |
129 |
_RL rTransU(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL rTransU(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
130 |
_RL rTransV(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL rTransV(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
131 |
_RL KE(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL KE(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
132 |
_RL viscAhD(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL viscAh_D(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
133 |
_RL viscAhZ(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL viscAh_Z(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
134 |
_RL viscA4D(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL viscA4_D(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
135 |
_RL viscA4Z(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL viscA4_Z(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
136 |
_RL vort3(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL vort3(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
137 |
_RL hDiv(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL hDiv(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
138 |
_RL strain(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL strain(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
139 |
_RL tension(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL tension(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
|
C I,J,K - Loop counters |
|
|
C rVelMaskOverride - Factor for imposing special surface boundary conditions |
|
|
C ( set according to free-surface condition ). |
|
|
C hFacROpen - Lopped cell factos used tohold fraction of open |
|
|
C hFacRClosed and closed cell wall. |
|
|
_RL rVelMaskOverride |
|
|
C xxxFac - On-off tracer parameters used for switching terms off. |
|
140 |
_RL uDudxFac |
_RL uDudxFac |
141 |
_RL AhDudxFac |
_RL AhDudxFac |
|
_RL A4DuxxdxFac |
|
142 |
_RL vDudyFac |
_RL vDudyFac |
143 |
_RL AhDudyFac |
_RL AhDudyFac |
|
_RL A4DuyydyFac |
|
144 |
_RL rVelDudrFac |
_RL rVelDudrFac |
145 |
_RL ArDudrFac |
_RL ArDudrFac |
146 |
_RL fuFac |
_RL fuFac |
|
_RL phxFac |
|
147 |
_RL mtFacU |
_RL mtFacU |
148 |
|
_RL mtNHFacU |
149 |
_RL uDvdxFac |
_RL uDvdxFac |
150 |
_RL AhDvdxFac |
_RL AhDvdxFac |
|
_RL A4DvxxdxFac |
|
151 |
_RL vDvdyFac |
_RL vDvdyFac |
152 |
_RL AhDvdyFac |
_RL AhDvdyFac |
|
_RL A4DvyydyFac |
|
153 |
_RL rVelDvdrFac |
_RL rVelDvdrFac |
154 |
_RL ArDvdrFac |
_RL ArDvdrFac |
155 |
_RL fvFac |
_RL fvFac |
|
_RL phyFac |
|
|
_RL vForcFac |
|
156 |
_RL mtFacV |
_RL mtFacV |
157 |
INTEGER km1,kp1 |
_RL mtNHFacV |
158 |
_RL wVelBottomOverride |
_RL sideMaskFac |
159 |
LOGICAL bottomDragTerms |
LOGICAL bottomDragTerms,harmonic,biharmonic,useVariableViscosity |
160 |
CEOP |
CEOP |
161 |
|
|
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 |
|
max2 = myByHi(myThid) - myByLo(myThid) + 1 |
169 |
|
act3 = myThid - 1 |
170 |
|
max3 = nTx*nTy |
171 |
|
act4 = ikey_dynamics - 1 |
172 |
|
imomkey = (act0 + 1) |
173 |
|
& + act1*max0 |
174 |
|
& + act2*max0*max1 |
175 |
|
& + act3*max0*max1*max2 |
176 |
|
& + act4*max0*max1*max2*max3 |
177 |
|
#endif /* ALLOW_AUTODIFF_TAMC */ |
178 |
|
|
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 |
|
aF(i,j) = 0. |
|
182 |
vF(i,j) = 0. |
vF(i,j) = 0. |
183 |
v4F(i,j) = 0. |
v4F(i,j) = 0. |
|
vrF(i,j) = 0. |
|
184 |
cF(i,j) = 0. |
cF(i,j) = 0. |
185 |
mT(i,j) = 0. |
mT(i,j) = 0. |
|
pF(i,j) = 0. |
|
186 |
fZon(i,j) = 0. |
fZon(i,j) = 0. |
187 |
fMer(i,j) = 0. |
fMer(i,j) = 0. |
188 |
rTransU(i,j) = 0. |
fVrUp(i,j)= 0. |
189 |
rTransV(i,j) = 0. |
fVrDw(i,j)= 0. |
190 |
|
rTransU(i,j)= 0. |
191 |
|
rTransV(i,j)= 0. |
192 |
strain(i,j) = 0. |
strain(i,j) = 0. |
193 |
tension(i,j) = 0. |
tension(i,j)= 0. |
194 |
|
guDiss(i,j) = 0. |
195 |
|
gvDiss(i,j) = 0. |
196 |
|
#ifdef ALLOW_AUTODIFF_TAMC |
197 |
|
vort3(i,j) = 0. _d 0 |
198 |
|
strain(i,j) = 0. _d 0 |
199 |
|
tension(i,j) = 0. _d 0 |
200 |
|
#endif |
201 |
ENDDO |
ENDDO |
202 |
ENDDO |
ENDDO |
203 |
|
|
205 |
C o U momentum equation |
C o U momentum equation |
206 |
uDudxFac = afFacMom*1. |
uDudxFac = afFacMom*1. |
207 |
AhDudxFac = vfFacMom*1. |
AhDudxFac = vfFacMom*1. |
|
A4DuxxdxFac = vfFacMom*1. |
|
208 |
vDudyFac = afFacMom*1. |
vDudyFac = afFacMom*1. |
209 |
AhDudyFac = vfFacMom*1. |
AhDudyFac = vfFacMom*1. |
|
A4DuyydyFac = vfFacMom*1. |
|
210 |
rVelDudrFac = afFacMom*1. |
rVelDudrFac = afFacMom*1. |
211 |
ArDudrFac = vfFacMom*1. |
ArDudrFac = vfFacMom*1. |
212 |
mTFacU = mtFacMom*1. |
mtFacU = mtFacMom*1. |
213 |
|
mtNHFacU = 1. |
214 |
fuFac = cfFacMom*1. |
fuFac = cfFacMom*1. |
|
phxFac = pfFacMom*1. |
|
215 |
C o V momentum equation |
C o V momentum equation |
216 |
uDvdxFac = afFacMom*1. |
uDvdxFac = afFacMom*1. |
217 |
AhDvdxFac = vfFacMom*1. |
AhDvdxFac = vfFacMom*1. |
|
A4DvxxdxFac = vfFacMom*1. |
|
218 |
vDvdyFac = afFacMom*1. |
vDvdyFac = afFacMom*1. |
219 |
AhDvdyFac = vfFacMom*1. |
AhDvdyFac = vfFacMom*1. |
|
A4DvyydyFac = vfFacMom*1. |
|
220 |
rVelDvdrFac = afFacMom*1. |
rVelDvdrFac = afFacMom*1. |
221 |
ArDvdrFac = vfFacMom*1. |
ArDvdrFac = vfFacMom*1. |
222 |
mTFacV = mtFacMom*1. |
mtFacV = mtFacMom*1. |
223 |
|
mtNHFacV = 1. |
224 |
fvFac = cfFacMom*1. |
fvFac = cfFacMom*1. |
225 |
phyFac = pfFacMom*1. |
|
226 |
vForcFac = foFacMom*1. |
IF (implicitViscosity) THEN |
227 |
|
ArDudrFac = 0. |
228 |
|
ArDvdrFac = 0. |
229 |
|
ENDIF |
230 |
|
|
231 |
|
C note: using standard stencil (no mask) results in under-estimating |
232 |
|
C vorticity at a no-slip boundary by a factor of 2 = sideDragFactor |
233 |
|
IF ( no_slip_sides ) THEN |
234 |
|
sideMaskFac = sideDragFactor |
235 |
|
ELSE |
236 |
|
sideMaskFac = 0. _d 0 |
237 |
|
ENDIF |
238 |
|
|
239 |
IF ( no_slip_bottom |
IF ( no_slip_bottom |
240 |
& .OR. bottomDragQuadratic.NE.0. |
& .OR. bottomDragQuadratic.NE.0. |
244 |
bottomDragTerms=.FALSE. |
bottomDragTerms=.FALSE. |
245 |
ENDIF |
ENDIF |
246 |
|
|
|
C-- with stagger time stepping, grad Phi_Hyp is directly incoporated in TIMESTEP |
|
|
IF (staggerTimeStep) THEN |
|
|
phxFac = 0. |
|
|
phyFac = 0. |
|
|
ENDIF |
|
|
|
|
247 |
C-- Calculate open water fraction at vorticity points |
C-- Calculate open water fraction at vorticity points |
248 |
CALL MOM_CALC_HFACZ(bi,bj,k,hFacZ,r_hFacZ,myThid) |
CALL MOM_CALC_HFACZ(bi,bj,k,hFacZ,r_hFacZ,myThid) |
249 |
|
|
274 |
ENDDO |
ENDDO |
275 |
ENDDO |
ENDDO |
276 |
|
|
277 |
CALL MOM_CALC_KE(bi,bj,k,3,uFld,vFld,KE,myThid) |
CALL MOM_CALC_KE(bi,bj,k,2,uFld,vFld,KE,myThid) |
278 |
|
IF ( momViscosity) THEN |
279 |
c IF (viscAstrain.NE.0. .OR. viscAtension.NE.0.) THEN |
CALL MOM_CALC_HDIV(bi,bj,k,2,uFld,vFld,hDiv,myThid) |
280 |
CALL MOM_CALC_TENSION(bi,bj,k,uFld,vFld, |
CALL MOM_CALC_RELVORT3(bi,bj,k,uFld,vFld,hFacZ,vort3,myThid) |
281 |
O tension, |
CALL MOM_CALC_TENSION(bi,bj,k,uFld,vFld,tension,myThid) |
282 |
I myThid) |
CALL MOM_CALC_STRAIN(bi,bj,k,uFld,vFld,hFacZ,strain,myThid) |
283 |
CALL MOM_CALC_STRAIN(bi,bj,k,uFld,vFld,hFacZ, |
DO j=1-Oly,sNy+Oly |
284 |
O strain, |
DO i=1-Olx,sNx+Olx |
285 |
I myThid) |
IF ( hFacZ(i,j).EQ.0. ) THEN |
286 |
c ENDIF |
vort3(i,j) = sideMaskFac*vort3(i,j) |
287 |
|
strain(i,j) = sideMaskFac*strain(i,j) |
288 |
|
ENDIF |
289 |
|
ENDDO |
290 |
|
ENDDO |
291 |
|
#ifdef ALLOW_DIAGNOSTICS |
292 |
|
IF ( useDiagnostics ) THEN |
293 |
|
CALL DIAGNOSTICS_FILL(hDiv, 'momHDiv ',k,1,2,bi,bj,myThid) |
294 |
|
CALL DIAGNOSTICS_FILL(vort3, 'momVort3',k,1,2,bi,bj,myThid) |
295 |
|
CALL DIAGNOSTICS_FILL(tension,'Tension ',k,1,2,bi,bj,myThid) |
296 |
|
CALL DIAGNOSTICS_FILL(strain, 'Strain ',k,1,2,bi,bj,myThid) |
297 |
|
ENDIF |
298 |
|
#endif |
299 |
|
ENDIF |
300 |
|
|
301 |
C--- First call (k=1): compute vertical adv. flux fVerU(kUp) & fVerV(kUp) |
C--- First call (k=1): compute vertical adv. flux fVerU(kUp) & fVerV(kUp) |
302 |
IF (momAdvection.AND.k.EQ.1) THEN |
IF (momAdvection.AND.k.EQ.1) THEN |
303 |
|
|
304 |
C- Calculate vertical transports above U & V points (West & South face): |
C- Calculate vertical transports above U & V points (West & South face): |
305 |
CALL MOM_CALC_RTRANS( k, bi, bj, |
|
306 |
O rTransU, rTransV, |
#ifdef ALLOW_AUTODIFF_TAMC |
307 |
I myTime, myIter, myThid) |
CADJ STORE dwtransc(:,:,bi,bj) = |
308 |
|
CADJ & comlev1_bibj_k, key = imomkey, byte = isbyte |
309 |
|
CADJ STORE dwtransu(:,:,bi,bj) = |
310 |
|
CADJ & comlev1_bibj_k, key = imomkey, byte = isbyte |
311 |
|
CADJ STORE dwtransv(:,:,bi,bj) = |
312 |
|
CADJ & comlev1_bibj_k, key = imomkey, byte = isbyte |
313 |
|
#endif /* ALLOW_AUTODIFF_TAMC */ |
314 |
|
CALL MOM_CALC_RTRANS( k, bi, bj, |
315 |
|
O rTransU, rTransV, |
316 |
|
I myTime, myIter, myThid) |
317 |
|
|
318 |
C- Free surface correction term (flux at k=1) |
C- Free surface correction term (flux at k=1) |
319 |
CALL MOM_U_ADV_WU(bi,bj,k,uVel,wVel,rTransU,af,myThid) |
CALL MOM_U_ADV_WU( bi,bj,k,uVel,wVel,rTransU, |
320 |
DO j=jMin,jMax |
O fVerU(1-OLx,1-OLy,kUp), myThid ) |
|
DO i=iMin,iMax |
|
|
fVerU(i,j,kUp) = af(i,j) |
|
|
ENDDO |
|
|
ENDDO |
|
321 |
|
|
322 |
CALL MOM_V_ADV_WV(bi,bj,k,vVel,wVel,rTransV,af,myThid) |
CALL MOM_V_ADV_WV( bi,bj,k,vVel,wVel,rTransV, |
323 |
DO j=jMin,jMax |
O fVerV(1-OLx,1-OLy,kUp), myThid ) |
|
DO i=iMin,iMax |
|
|
fVerV(i,j,kUp) = af(i,j) |
|
|
ENDDO |
|
|
ENDDO |
|
324 |
|
|
325 |
C--- endif momAdvection & k=1 |
C--- endif momAdvection & k=1 |
326 |
ENDIF |
ENDIF |
328 |
|
|
329 |
C--- Calculate vertical transports (at k+1) below U & V points : |
C--- Calculate vertical transports (at k+1) below U & V points : |
330 |
IF (momAdvection) THEN |
IF (momAdvection) THEN |
331 |
CALL MOM_CALC_RTRANS( k+1, bi, bj, |
CALL MOM_CALC_RTRANS( k+1, bi, bj, |
332 |
O rTransU, rTransV, |
O rTransU, rTransV, |
333 |
I myTime, myIter, myThid) |
I myTime, myIter, myThid) |
334 |
ENDIF |
ENDIF |
335 |
|
|
336 |
c IF (momViscosity) THEN |
IF (momViscosity) THEN |
337 |
c & CALL MOM_CALC_VISCOSITY(bi,bj,k, |
CALL MOM_CALC_VISC( |
338 |
c I uFld,vFld, |
I bi,bj,k, |
339 |
c O viscAhD,viscAhZ,myThid) |
O viscAh_Z,viscAh_D,viscA4_Z,viscA4_D, |
340 |
|
O harmonic,biharmonic,useVariableViscosity, |
341 |
|
I hDiv,vort3,tension,strain,KE,hFacZ, |
342 |
|
I myThid) |
343 |
|
ENDIF |
344 |
|
|
345 |
C---- Zonal momentum equation starts here |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
346 |
|
|
347 |
C Bi-harmonic term del^2 U -> v4F |
C---- Zonal momentum equation starts here |
|
IF (momViscosity .AND. viscA4.NE.0. ) |
|
|
& CALL MOM_U_DEL2U(bi,bj,k,uFld,hFacZ,v4f,myThid) |
|
348 |
|
|
349 |
C--- Calculate mean and eddy fluxes between cells for zonal flow. |
IF (momAdvection) THEN |
350 |
|
C--- Calculate mean fluxes (advection) between cells for zonal flow. |
351 |
|
|
352 |
C-- Zonal flux (fZon is at east face of "u" cell) |
C-- Zonal flux (fZon is at east face of "u" cell) |
353 |
|
C Mean flow component of zonal flux -> fZon |
354 |
C Mean flow component of zonal flux -> aF |
CALL MOM_U_ADV_UU(bi,bj,k,uTrans,uFld,fZon,myThid) |
|
IF (momAdvection) |
|
|
& CALL MOM_U_ADV_UU(bi,bj,k,uTrans,uFld,aF,myThid) |
|
|
|
|
|
C Laplacian and bi-harmonic terms -> vF |
|
|
IF (momViscosity) |
|
|
& CALL MOM_U_XVISCFLUX(bi,bj,k,uFld,v4F,vF,myThid) |
|
|
|
|
|
C Combine fluxes -> fZon |
|
|
DO j=jMin,jMax |
|
|
DO i=iMin,iMax |
|
|
fZon(i,j) = uDudxFac*aF(i,j) + AhDudxFac*vF(i,j) |
|
|
ENDDO |
|
|
ENDDO |
|
355 |
|
|
356 |
C-- Meridional flux (fMer is at south face of "u" cell) |
C-- Meridional flux (fMer is at south face of "u" cell) |
357 |
|
C Mean flow component of meridional flux -> fMer |
358 |
C Mean flow component of meridional flux |
CALL MOM_U_ADV_VU(bi,bj,k,vTrans,uFld,fMer,myThid) |
|
IF (momAdvection) |
|
|
& CALL MOM_U_ADV_VU(bi,bj,k,vTrans,uFld,aF,myThid) |
|
|
|
|
|
C Laplacian and bi-harmonic term |
|
|
IF (momViscosity) |
|
|
& CALL MOM_U_YVISCFLUX(bi,bj,k,uFld,v4F,hFacZ,vF,myThid) |
|
|
|
|
|
C Combine fluxes -> fMer |
|
|
DO j=jMin,jMax+1 |
|
|
DO i=iMin,iMax |
|
|
fMer(i,j) = vDudyFac*aF(i,j) + AhDudyFac*vF(i,j) |
|
|
ENDDO |
|
|
ENDDO |
|
359 |
|
|
360 |
C-- Vertical flux (fVer is at upper face of "u" cell) |
C-- Vertical flux (fVer is at upper face of "u" cell) |
361 |
|
C Mean flow component of vertical flux (at k+1) -> fVer |
362 |
C Mean flow component of vertical flux (at k+1) -> aF |
CALL MOM_U_ADV_WU( |
363 |
IF (momAdvection) |
I bi,bj,k+1,uVel,wVel,rTransU, |
364 |
& CALL MOM_U_ADV_WU(bi,bj,k+1,uVel,wVel,rTransU,af,myThid) |
O fVerU(1-OLx,1-OLy,kDown), myThid ) |
|
|
|
|
C Eddy component of vertical flux (interior component only) -> vrF |
|
|
IF (momViscosity.AND..NOT.implicitViscosity) |
|
|
& CALL MOM_U_RVISCFLUX(bi,bj,k,uVel,KappaRU,vrF,myThid) |
|
|
|
|
|
C Combine fluxes |
|
|
DO j=jMin,jMax |
|
|
DO i=iMin,iMax |
|
|
fVerU(i,j,kDown) = rVelDudrFac*aF(i,j) + ArDudrFac*vrF(i,j) |
|
|
ENDDO |
|
|
ENDDO |
|
365 |
|
|
366 |
C-- Tendency is minus divergence of the fluxes + coriolis + pressure term |
C-- Tendency is minus divergence of the fluxes + coriolis + pressure term |
367 |
DO j=jMin,jMax |
DO j=jMin,jMax |
368 |
DO i=iMin,iMax |
DO i=iMin,iMax |
369 |
gU(i,j,k,bi,bj) = |
gU(i,j,k,bi,bj) = |
370 |
#ifdef OLD_UV_GEOM |
#ifdef OLD_UV_GEOM |
371 |
& -_recip_hFacW(i,j,k,bi,bj)*recip_drF(k)/ |
& -_recip_hFacW(i,j,k,bi,bj)*recip_drF(k)/ |
372 |
& ( 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)) ) |
373 |
#else |
#else |
374 |
& -_recip_hFacW(i,j,k,bi,bj)*recip_drF(k) |
& -_recip_hFacW(i,j,k,bi,bj)*recip_drF(k) |
375 |
& *recip_rAw(i,j,bi,bj) |
& *recip_rAw(i,j,bi,bj) |
376 |
|
#endif |
377 |
|
& *( ( fZon(i,j ) - fZon(i-1,j) )*uDudxFac |
378 |
|
& +( fMer(i,j+1) - fMer(i, j) )*vDudyFac |
379 |
|
& +(fVerU(i,j,kDown) - fVerU(i,j,kUp))*rkSign*rVelDudrFac |
380 |
|
& ) |
381 |
|
ENDDO |
382 |
|
ENDDO |
383 |
|
|
384 |
|
#ifdef ALLOW_DIAGNOSTICS |
385 |
|
IF ( useDiagnostics ) THEN |
386 |
|
CALL DIAGNOSTICS_FILL(fZon,'ADVx_Um ',k,1,2,bi,bj,myThid) |
387 |
|
CALL DIAGNOSTICS_FILL(fMer,'ADVy_Um ',k,1,2,bi,bj,myThid) |
388 |
|
CALL DIAGNOSTICS_FILL(fVerU(1-Olx,1-Oly,kUp), |
389 |
|
& 'ADVrE_Um',k,1,2,bi,bj,myThid) |
390 |
|
ENDIF |
391 |
#endif |
#endif |
|
& *(fZon(i,j ) - fZon(i-1,j) |
|
|
& +fMer(i,j+1) - fMer(i ,j) |
|
|
& +fVerU(i,j,kUp)*rkFac - fVerU(i,j,kDown)*rkFac |
|
|
& ) |
|
|
& - phxFac*dPhiHydX(i,j) |
|
|
ENDDO |
|
|
ENDDO |
|
392 |
|
|
393 |
#ifdef NONLIN_FRSURF |
#ifdef NONLIN_FRSURF |
394 |
C-- account for 3.D divergence of the flow in rStar coordinate: |
C-- account for 3.D divergence of the flow in rStar coordinate: |
395 |
IF ( momAdvection .AND. select_rStar.GT.0 ) THEN |
# ifndef DISABLE_RSTAR_CODE |
396 |
DO j=jMin,jMax |
IF ( select_rStar.GT.0 ) THEN |
397 |
DO i=iMin,iMax |
DO j=jMin,jMax |
398 |
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj) |
DO i=iMin,iMax |
399 |
|
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj) |
400 |
& - (rStarExpW(i,j,bi,bj) - 1. _d 0)/deltaTfreesurf |
& - (rStarExpW(i,j,bi,bj) - 1. _d 0)/deltaTfreesurf |
401 |
& *uVel(i,j,k,bi,bj) |
& *uVel(i,j,k,bi,bj) |
402 |
ENDDO |
ENDDO |
403 |
ENDDO |
ENDDO |
404 |
ENDIF |
ENDIF |
405 |
IF ( momAdvection .AND. select_rStar.LT.0 ) THEN |
IF ( select_rStar.LT.0 ) THEN |
406 |
DO j=jMin,jMax |
DO j=jMin,jMax |
407 |
DO i=iMin,iMax |
DO i=iMin,iMax |
408 |
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj) |
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj) |
409 |
& - rStarDhWDt(i,j,bi,bj)*uVel(i,j,k,bi,bj) |
& - rStarDhWDt(i,j,bi,bj)*uVel(i,j,k,bi,bj) |
410 |
|
ENDDO |
411 |
|
ENDDO |
412 |
|
ENDIF |
413 |
|
# endif /* DISABLE_RSTAR_CODE */ |
414 |
|
#endif /* NONLIN_FRSURF */ |
415 |
|
|
416 |
|
ELSE |
417 |
|
C- if momAdvection / else |
418 |
|
DO j=1-OLy,sNy+OLy |
419 |
|
DO i=1-OLx,sNx+OLx |
420 |
|
gU(i,j,k,bi,bj) = 0. _d 0 |
421 |
|
ENDDO |
422 |
ENDDO |
ENDDO |
423 |
ENDDO |
|
424 |
|
C- endif momAdvection. |
425 |
ENDIF |
ENDIF |
426 |
#endif /* NONLIN_FRSURF */ |
|
427 |
|
IF (momViscosity) THEN |
428 |
|
C--- Calculate eddy fluxes (dissipation) between cells for zonal flow. |
429 |
|
|
430 |
|
C Bi-harmonic term del^2 U -> v4F |
431 |
|
IF (biharmonic) |
432 |
|
& CALL MOM_U_DEL2U(bi,bj,k,uFld,hFacZ,v4f,myThid) |
433 |
|
|
434 |
|
C Laplacian and bi-harmonic terms, Zonal Fluxes -> fZon |
435 |
|
CALL MOM_U_XVISCFLUX(bi,bj,k,uFld,v4F,fZon, |
436 |
|
I viscAh_D,viscA4_D,myThid) |
437 |
|
|
438 |
|
C Laplacian and bi-harmonic termis, Merid Fluxes -> fMer |
439 |
|
CALL MOM_U_YVISCFLUX(bi,bj,k,uFld,v4F,hFacZ,fMer, |
440 |
|
I viscAh_Z,viscA4_Z,myThid) |
441 |
|
|
442 |
|
C Eddy component of vertical flux (interior component only) -> fVrUp & fVrDw |
443 |
|
IF (.NOT.implicitViscosity) THEN |
444 |
|
CALL MOM_U_RVISCFLUX(bi,bj, k, uVel,KappaRU,fVrUp,myThid) |
445 |
|
CALL MOM_U_RVISCFLUX(bi,bj,k+1,uVel,KappaRU,fVrDw,myThid) |
446 |
|
ENDIF |
447 |
|
|
448 |
|
C-- Tendency is minus divergence of the fluxes |
449 |
|
DO j=jMin,jMax |
450 |
|
DO i=iMin,iMax |
451 |
|
guDiss(i,j) = |
452 |
|
#ifdef OLD_UV_GEOM |
453 |
|
& -_recip_hFacW(i,j,k,bi,bj)*recip_drF(k)/ |
454 |
|
& ( 0.5 _d 0*(rA(i,j,bi,bj)+rA(i-1,j,bi,bj)) ) |
455 |
|
#else |
456 |
|
& -_recip_hFacW(i,j,k,bi,bj)*recip_drF(k) |
457 |
|
& *recip_rAw(i,j,bi,bj) |
458 |
|
#endif |
459 |
|
& *( ( fZon(i,j ) - fZon(i-1,j) )*AhDudxFac |
460 |
|
& +( fMer(i,j+1) - fMer(i, j) )*AhDudyFac |
461 |
|
& +( fVrDw(i,j) - fVrUp(i,j) )*rkSign*ArDudrFac |
462 |
|
& ) |
463 |
|
ENDDO |
464 |
|
ENDDO |
465 |
|
|
466 |
|
#ifdef ALLOW_DIAGNOSTICS |
467 |
|
IF ( useDiagnostics ) THEN |
468 |
|
CALL DIAGNOSTICS_FILL(fZon, 'VISCx_Um',k,1,2,bi,bj,myThid) |
469 |
|
CALL DIAGNOSTICS_FILL(fMer, 'VISCy_Um',k,1,2,bi,bj,myThid) |
470 |
|
IF (.NOT.implicitViscosity) |
471 |
|
& CALL DIAGNOSTICS_FILL(fVrUp,'VISrE_Um',k,1,2,bi,bj,myThid) |
472 |
|
ENDIF |
473 |
|
#endif |
474 |
|
|
475 |
C-- No-slip and drag BCs appear as body forces in cell abutting topography |
C-- No-slip and drag BCs appear as body forces in cell abutting topography |
476 |
IF (momViscosity.AND.no_slip_sides) THEN |
IF (no_slip_sides) THEN |
477 |
C- No-slip BCs impose a drag at walls... |
C- No-slip BCs impose a drag at walls... |
478 |
CALL MOM_U_SIDEDRAG(bi,bj,k,uFld,v4F,hFacZ,vF,myThid) |
CALL MOM_U_SIDEDRAG( |
479 |
DO j=jMin,jMax |
I bi,bj,k, |
480 |
DO i=iMin,iMax |
I uFld, v4f, hFacZ, |
481 |
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+vF(i,j) |
I viscAh_Z,viscA4_Z, |
482 |
ENDDO |
I harmonic,biharmonic,useVariableViscosity, |
483 |
ENDDO |
O vF, |
484 |
ENDIF |
I myThid) |
485 |
|
DO j=jMin,jMax |
486 |
|
DO i=iMin,iMax |
487 |
|
gUdiss(i,j) = gUdiss(i,j) + vF(i,j) |
488 |
|
ENDDO |
489 |
|
ENDDO |
490 |
|
ENDIF |
491 |
C- No-slip BCs impose a drag at bottom |
C- No-slip BCs impose a drag at bottom |
492 |
IF (momViscosity.AND.bottomDragTerms) THEN |
IF (bottomDragTerms) THEN |
493 |
CALL MOM_U_BOTTOMDRAG(bi,bj,k,uFld,KE,KappaRU,vF,myThid) |
CALL MOM_U_BOTTOMDRAG(bi,bj,k,uFld,KE,KappaRU,vF,myThid) |
494 |
DO j=jMin,jMax |
DO j=jMin,jMax |
495 |
DO i=iMin,iMax |
DO i=iMin,iMax |
496 |
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+vF(i,j) |
gUdiss(i,j) = gUdiss(i,j) + vF(i,j) |
497 |
ENDDO |
ENDDO |
498 |
ENDDO |
ENDDO |
499 |
|
ENDIF |
500 |
|
|
501 |
|
#ifdef ALLOW_SHELFICE |
502 |
|
IF (useShelfIce) THEN |
503 |
|
CALL SHELFICE_U_DRAG(bi,bj,k,uFld,KE,KappaRU,vF,myThid) |
504 |
|
DO j=jMin,jMax |
505 |
|
DO i=iMin,iMax |
506 |
|
gUdiss(i,j) = gUdiss(i,j) + vF(i,j) |
507 |
|
ENDDO |
508 |
|
ENDDO |
509 |
|
ENDIF |
510 |
|
#endif /* ALLOW_SHELFICE */ |
511 |
|
|
512 |
|
C- endif momViscosity |
513 |
ENDIF |
ENDIF |
514 |
|
|
515 |
C-- Forcing term (moved to timestep.F) |
C-- Forcing term (moved to timestep.F) |
520 |
|
|
521 |
C-- Metric terms for curvilinear grid systems |
C-- Metric terms for curvilinear grid systems |
522 |
IF (useNHMTerms) THEN |
IF (useNHMTerms) THEN |
523 |
C o Non-hydrosatic metric terms |
C o Non-Hydrostatic (spherical) metric terms |
524 |
CALL MOM_U_METRIC_NH(bi,bj,k,uFld,wVel,mT,myThid) |
CALL MOM_U_METRIC_NH(bi,bj,k,uFld,wVel,mT,myThid) |
525 |
DO j=jMin,jMax |
DO j=jMin,jMax |
526 |
DO i=iMin,iMax |
DO i=iMin,iMax |
527 |
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)+mtNHFacU*mT(i,j) |
528 |
ENDDO |
ENDDO |
529 |
ENDDO |
ENDDO |
530 |
ENDIF |
ENDIF |
531 |
IF (usingSphericalPolarMTerms) THEN |
IF ( usingSphericalPolarGrid .AND. metricTerms ) THEN |
532 |
|
C o Spherical polar grid metric terms |
533 |
CALL MOM_U_METRIC_SPHERE(bi,bj,k,uFld,vFld,mT,myThid) |
CALL MOM_U_METRIC_SPHERE(bi,bj,k,uFld,vFld,mT,myThid) |
534 |
DO j=jMin,jMax |
DO j=jMin,jMax |
535 |
DO i=iMin,iMax |
DO i=iMin,iMax |
536 |
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) |
537 |
ENDDO |
ENDDO |
538 |
ENDDO |
ENDDO |
|
|
|
|
IF (usingCylindricalGrid) THEN |
|
|
CALL MOM_U_METRIC_CYLINDER(bi,bj,k,uFld,vFld,mT,myThid) |
|
|
DO j=jMin,jMax |
|
|
DO i=iMin,iMax |
|
|
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+mTFacU*mT(i,j) |
|
|
ENDDO |
|
|
ENDDO |
|
539 |
ENDIF |
ENDIF |
540 |
|
IF ( usingCylindricalGrid .AND. metricTerms ) THEN |
541 |
ENDIF |
C o Cylindrical grid metric terms |
542 |
C-- Set du/dt on boundaries to zero |
CALL MOM_U_METRIC_CYLINDER(bi,bj,k,uFld,vFld,mT,myThid) |
543 |
DO j=jMin,jMax |
DO j=jMin,jMax |
544 |
DO i=iMin,iMax |
DO i=iMin,iMax |
545 |
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)*_maskW(i,j,k,bi,bj) |
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+mtFacU*mT(i,j) |
546 |
|
ENDDO |
547 |
ENDDO |
ENDDO |
548 |
ENDDO |
ENDIF |
549 |
|
|
550 |
|
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
551 |
|
|
552 |
C---- Meridional momentum equation starts here |
C---- Meridional momentum equation starts here |
553 |
|
|
554 |
C Bi-harmonic term del^2 V -> v4F |
IF (momAdvection) THEN |
555 |
IF (momViscosity .AND. viscA4.NE.0. ) |
C--- Calculate mean fluxes (advection) between cells for meridional flow. |
556 |
& CALL MOM_V_DEL2V(bi,bj,k,vFld,hFacZ,v4f,myThid) |
C Mean flow component of zonal flux -> fZon |
557 |
|
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+1 |
|
|
fZon(i,j) = uDvdxFac*aF(i,j) + AhDvdxFac*vF(i,j) |
|
|
ENDDO |
|
|
ENDDO |
|
558 |
|
|
559 |
C-- Meridional flux (fMer is at north face of "v" cell) |
C-- Meridional flux (fMer is at north face of "v" cell) |
560 |
|
C Mean flow component of meridional flux -> fMer |
561 |
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 |
|
562 |
|
|
563 |
C-- Vertical flux (fVer is at upper face of "v" cell) |
C-- Vertical flux (fVer is at upper face of "v" cell) |
564 |
|
C Mean flow component of vertical flux (at k+1) -> fVerV |
565 |
C o Mean flow component of vertical flux |
CALL MOM_V_ADV_WV( |
566 |
IF (momAdvection) |
I bi,bj,k+1,vVel,wVel,rTransV, |
567 |
& CALL MOM_V_ADV_WV(bi,bj,k+1,vVel,wVel,rTransV,af,myThid) |
O fVerV(1-OLx,1-OLy,kDown), myThid ) |
|
|
|
|
C Eddy component of vertical flux (interior component only) -> vrF |
|
|
IF (momViscosity.AND..NOT.implicitViscosity) |
|
|
& CALL MOM_V_RVISCFLUX(bi,bj,k,vVel,KappaRV,vrf,myThid) |
|
|
|
|
|
C Combine fluxes -> fVerV |
|
|
DO j=jMin,jMax |
|
|
DO i=iMin,iMax |
|
|
fVerV(i,j,kDown) = rVelDvdrFac*aF(i,j) + ArDvdrFac*vrF(i,j) |
|
|
ENDDO |
|
|
ENDDO |
|
568 |
|
|
569 |
C-- Tendency is minus divergence of the fluxes + coriolis + pressure term |
C-- Tendency is minus divergence of the fluxes + coriolis + pressure term |
570 |
DO j=jMin,jMax |
DO j=jMin,jMax |
571 |
DO i=iMin,iMax |
DO i=iMin,iMax |
572 |
gV(i,j,k,bi,bj) = |
gV(i,j,k,bi,bj) = |
573 |
#ifdef OLD_UV_GEOM |
#ifdef OLD_UV_GEOM |
574 |
& -_recip_hFacS(i,j,k,bi,bj)*recip_drF(k)/ |
& -_recip_hFacS(i,j,k,bi,bj)*recip_drF(k)/ |
575 |
& ( 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)) ) |
576 |
#else |
#else |
577 |
& -_recip_hFacS(i,j,k,bi,bj)*recip_drF(k) |
& -_recip_hFacS(i,j,k,bi,bj)*recip_drF(k) |
578 |
& *recip_rAs(i,j,bi,bj) |
& *recip_rAs(i,j,bi,bj) |
579 |
|
#endif |
580 |
|
& *( ( fZon(i+1,j) - fZon(i,j ) )*uDvdxFac |
581 |
|
& +( fMer(i, j) - fMer(i,j-1) )*vDvdyFac |
582 |
|
& +(fVerV(i,j,kDown) - fVerV(i,j,kUp))*rkSign*rVelDvdrFac |
583 |
|
& ) |
584 |
|
ENDDO |
585 |
|
ENDDO |
586 |
|
|
587 |
|
#ifdef ALLOW_DIAGNOSTICS |
588 |
|
IF ( useDiagnostics ) THEN |
589 |
|
CALL DIAGNOSTICS_FILL(fZon,'ADVx_Vm ',k,1,2,bi,bj,myThid) |
590 |
|
CALL DIAGNOSTICS_FILL(fMer,'ADVy_Vm ',k,1,2,bi,bj,myThid) |
591 |
|
CALL DIAGNOSTICS_FILL(fVerV(1-Olx,1-Oly,kUp), |
592 |
|
& 'ADVrE_Vm',k,1,2,bi,bj,myThid) |
593 |
|
ENDIF |
594 |
#endif |
#endif |
|
& *(fZon(i+1,j) - fZon(i,j ) |
|
|
& +fMer(i,j ) - fMer(i,j-1) |
|
|
& +fVerV(i,j,kUp)*rkFac - fVerV(i,j,kDown)*rkFac |
|
|
& ) |
|
|
& - phyFac*dPhiHydY(i,j) |
|
|
ENDDO |
|
|
ENDDO |
|
595 |
|
|
596 |
#ifdef NONLIN_FRSURF |
#ifdef NONLIN_FRSURF |
597 |
C-- account for 3.D divergence of the flow in rStar coordinate: |
C-- account for 3.D divergence of the flow in rStar coordinate: |
598 |
IF ( momAdvection .AND. select_rStar.GT.0 ) THEN |
# ifndef DISABLE_RSTAR_CODE |
599 |
DO j=jMin,jMax |
IF ( select_rStar.GT.0 ) THEN |
600 |
DO i=iMin,iMax |
DO j=jMin,jMax |
601 |
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj) |
DO i=iMin,iMax |
602 |
|
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj) |
603 |
& - (rStarExpS(i,j,bi,bj) - 1. _d 0)/deltaTfreesurf |
& - (rStarExpS(i,j,bi,bj) - 1. _d 0)/deltaTfreesurf |
604 |
& *vVel(i,j,k,bi,bj) |
& *vVel(i,j,k,bi,bj) |
605 |
ENDDO |
ENDDO |
606 |
ENDDO |
ENDDO |
607 |
ENDIF |
ENDIF |
608 |
IF ( momAdvection .AND. select_rStar.LT.0 ) THEN |
IF ( select_rStar.LT.0 ) THEN |
609 |
DO j=jMin,jMax |
DO j=jMin,jMax |
610 |
DO i=iMin,iMax |
DO i=iMin,iMax |
611 |
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj) |
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj) |
612 |
& - rStarDhSDt(i,j,bi,bj)*vVel(i,j,k,bi,bj) |
& - rStarDhSDt(i,j,bi,bj)*vVel(i,j,k,bi,bj) |
613 |
|
ENDDO |
614 |
|
ENDDO |
615 |
|
ENDIF |
616 |
|
# endif /* DISABLE_RSTAR_CODE */ |
617 |
|
#endif /* NONLIN_FRSURF */ |
618 |
|
|
619 |
|
ELSE |
620 |
|
C- if momAdvection / else |
621 |
|
DO j=1-OLy,sNy+OLy |
622 |
|
DO i=1-OLx,sNx+OLx |
623 |
|
gV(i,j,k,bi,bj) = 0. _d 0 |
624 |
|
ENDDO |
625 |
ENDDO |
ENDDO |
626 |
ENDDO |
|
627 |
|
C- endif momAdvection. |
628 |
ENDIF |
ENDIF |
629 |
#endif /* NONLIN_FRSURF */ |
|
630 |
|
IF (momViscosity) THEN |
631 |
|
C--- Calculate eddy fluxes (dissipation) between cells for meridional flow. |
632 |
|
C Bi-harmonic term del^2 V -> v4F |
633 |
|
IF (biharmonic) |
634 |
|
& CALL MOM_V_DEL2V(bi,bj,k,vFld,hFacZ,v4f,myThid) |
635 |
|
|
636 |
|
C Laplacian and bi-harmonic terms, Zonal Fluxes -> fZon |
637 |
|
CALL MOM_V_XVISCFLUX(bi,bj,k,vFld,v4f,hFacZ,fZon, |
638 |
|
I viscAh_Z,viscA4_Z,myThid) |
639 |
|
|
640 |
|
C Laplacian and bi-harmonic termis, Merid Fluxes -> fMer |
641 |
|
CALL MOM_V_YVISCFLUX(bi,bj,k,vFld,v4f,fMer, |
642 |
|
I viscAh_D,viscA4_D,myThid) |
643 |
|
|
644 |
|
C Eddy component of vertical flux (interior component only) -> fVrUp & fVrDw |
645 |
|
IF (.NOT.implicitViscosity) THEN |
646 |
|
CALL MOM_V_RVISCFLUX(bi,bj, k, vVel,KappaRV,fVrUp,myThid) |
647 |
|
CALL MOM_V_RVISCFLUX(bi,bj,k+1,vVel,KappaRV,fVrDw,myThid) |
648 |
|
ENDIF |
649 |
|
|
650 |
|
C-- Tendency is minus divergence of the fluxes + coriolis + pressure term |
651 |
|
DO j=jMin,jMax |
652 |
|
DO i=iMin,iMax |
653 |
|
gvDiss(i,j) = |
654 |
|
#ifdef OLD_UV_GEOM |
655 |
|
& -_recip_hFacS(i,j,k,bi,bj)*recip_drF(k)/ |
656 |
|
& ( 0.5 _d 0*(_rA(i,j,bi,bj)+_rA(i,j-1,bi,bj)) ) |
657 |
|
#else |
658 |
|
& -_recip_hFacS(i,j,k,bi,bj)*recip_drF(k) |
659 |
|
& *recip_rAs(i,j,bi,bj) |
660 |
|
#endif |
661 |
|
& *( ( fZon(i+1,j) - fZon(i,j ) )*AhDvdxFac |
662 |
|
& +( fMer(i, j) - fMer(i,j-1) )*AhDvdyFac |
663 |
|
& +( fVrDw(i,j) - fVrUp(i,j) )*rkSign*ArDvdrFac |
664 |
|
& ) |
665 |
|
ENDDO |
666 |
|
ENDDO |
667 |
|
|
668 |
|
#ifdef ALLOW_DIAGNOSTICS |
669 |
|
IF ( useDiagnostics ) THEN |
670 |
|
CALL DIAGNOSTICS_FILL(fZon, 'VISCx_Vm',k,1,2,bi,bj,myThid) |
671 |
|
CALL DIAGNOSTICS_FILL(fMer, 'VISCy_Vm',k,1,2,bi,bj,myThid) |
672 |
|
IF (.NOT.implicitViscosity) |
673 |
|
& CALL DIAGNOSTICS_FILL(fVrUp,'VISrE_Vm',k,1,2,bi,bj,myThid) |
674 |
|
ENDIF |
675 |
|
#endif |
676 |
|
|
677 |
C-- No-slip and drag BCs appear as body forces in cell abutting topography |
C-- No-slip and drag BCs appear as body forces in cell abutting topography |
678 |
IF (momViscosity.AND.no_slip_sides) THEN |
IF (no_slip_sides) THEN |
679 |
C- No-slip BCs impose a drag at walls... |
C- No-slip BCs impose a drag at walls... |
680 |
CALL MOM_V_SIDEDRAG(bi,bj,k,vFld,v4F,hFacZ,vF,myThid) |
CALL MOM_V_SIDEDRAG( |
681 |
DO j=jMin,jMax |
I bi,bj,k, |
682 |
DO i=iMin,iMax |
I vFld, v4f, hFacZ, |
683 |
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)+vF(i,j) |
I viscAh_Z,viscA4_Z, |
684 |
ENDDO |
I harmonic,biharmonic,useVariableViscosity, |
685 |
ENDDO |
O vF, |
686 |
ENDIF |
I myThid) |
687 |
|
DO j=jMin,jMax |
688 |
|
DO i=iMin,iMax |
689 |
|
gvDiss(i,j) = gvDiss(i,j) + vF(i,j) |
690 |
|
ENDDO |
691 |
|
ENDDO |
692 |
|
ENDIF |
693 |
C- No-slip BCs impose a drag at bottom |
C- No-slip BCs impose a drag at bottom |
694 |
IF (momViscosity.AND.bottomDragTerms) THEN |
IF (bottomDragTerms) THEN |
695 |
CALL MOM_V_BOTTOMDRAG(bi,bj,k,vFld,KE,KappaRV,vF,myThid) |
CALL MOM_V_BOTTOMDRAG(bi,bj,k,vFld,KE,KappaRV,vF,myThid) |
696 |
DO j=jMin,jMax |
DO j=jMin,jMax |
697 |
DO i=iMin,iMax |
DO i=iMin,iMax |
698 |
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)+vF(i,j) |
gvDiss(i,j) = gvDiss(i,j) + vF(i,j) |
699 |
ENDDO |
ENDDO |
700 |
ENDDO |
ENDDO |
701 |
|
ENDIF |
702 |
|
|
703 |
|
#ifdef ALLOW_SHELFICE |
704 |
|
IF (useShelfIce) THEN |
705 |
|
CALL SHELFICE_V_DRAG(bi,bj,k,vFld,KE,KappaRU,vF,myThid) |
706 |
|
DO j=jMin,jMax |
707 |
|
DO i=iMin,iMax |
708 |
|
gvDiss(i,j) = gvDiss(i,j) + vF(i,j) |
709 |
|
ENDDO |
710 |
|
ENDDO |
711 |
|
ENDIF |
712 |
|
#endif /* ALLOW_SHELFICE */ |
713 |
|
|
714 |
|
C- endif momViscosity |
715 |
ENDIF |
ENDIF |
716 |
|
|
717 |
C-- Forcing term (moved to timestep.F) |
C-- Forcing term (moved to timestep.F) |
722 |
|
|
723 |
C-- Metric terms for curvilinear grid systems |
C-- Metric terms for curvilinear grid systems |
724 |
IF (useNHMTerms) THEN |
IF (useNHMTerms) THEN |
725 |
C o Spherical polar grid metric terms |
C o Non-Hydrostatic (spherical) metric terms |
726 |
CALL MOM_V_METRIC_NH(bi,bj,k,vFld,wVel,mT,myThid) |
CALL MOM_V_METRIC_NH(bi,bj,k,vFld,wVel,mT,myThid) |
727 |
DO j=jMin,jMax |
DO j=jMin,jMax |
728 |
DO i=iMin,iMax |
DO i=iMin,iMax |
729 |
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)+mtNHFacV*mT(i,j) |
730 |
ENDDO |
ENDDO |
731 |
ENDDO |
ENDDO |
732 |
ENDIF |
ENDIF |
733 |
IF (usingSphericalPolarMTerms) THEN |
IF ( usingSphericalPolarGrid .AND. metricTerms ) THEN |
734 |
|
C o Spherical polar grid metric terms |
735 |
CALL MOM_V_METRIC_SPHERE(bi,bj,k,uFld,mT,myThid) |
CALL MOM_V_METRIC_SPHERE(bi,bj,k,uFld,mT,myThid) |
736 |
DO j=jMin,jMax |
DO j=jMin,jMax |
737 |
DO i=iMin,iMax |
DO i=iMin,iMax |
738 |
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) |
739 |
ENDDO |
ENDDO |
740 |
ENDDO |
ENDDO |
741 |
ENDIF |
ENDIF |
742 |
IF (usingCylindricalGrid) THEN |
IF ( usingCylindricalGrid .AND. metricTerms ) THEN |
743 |
CALL MOM_V_METRIC_CYLINDER(bi,bj,k,uFld,vFld,mT,myThid) |
C o Cylindrical grid metric terms |
744 |
DO j=jMin,jMax |
CALL MOM_V_METRIC_CYLINDER(bi,bj,k,uFld,vFld,mT,myThid) |
745 |
DO i=iMin,iMax |
DO j=jMin,jMax |
746 |
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)+mTFacV*mT(i,j) |
DO i=iMin,iMax |
747 |
ENDDO |
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)+mtFacV*mT(i,j) |
748 |
ENDDO |
ENDDO |
749 |
|
ENDDO |
750 |
ENDIF |
ENDIF |
751 |
|
|
752 |
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 |
|
753 |
|
|
754 |
C-- Coriolis term |
C-- Coriolis term |
755 |
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 |
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+fuFac*cf(i,j) |
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+fuFac*cf(i,j) |
764 |
ENDDO |
ENDDO |
765 |
ENDDO |
ENDDO |
766 |
|
#ifdef ALLOW_DIAGNOSTICS |
767 |
|
IF ( useDiagnostics ) |
768 |
|
& CALL DIAGNOSTICS_FILL(cf,'Um_Cori ',k,1,2,bi,bj,myThid) |
769 |
|
#endif |
770 |
CALL MOM_V_CORIOLIS(bi,bj,k,uFld,cf,myThid) |
CALL MOM_V_CORIOLIS(bi,bj,k,uFld,cf,myThid) |
771 |
DO j=jMin,jMax |
DO j=jMin,jMax |
772 |
DO i=iMin,iMax |
DO i=iMin,iMax |
773 |
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)+fvFac*cf(i,j) |
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)+fvFac*cf(i,j) |
774 |
ENDDO |
ENDDO |
775 |
ENDDO |
ENDDO |
776 |
|
#ifdef ALLOW_DIAGNOSTICS |
777 |
|
IF ( useDiagnostics ) |
778 |
|
& CALL DIAGNOSTICS_FILL(cf,'Vm_Cori ',k,1,2,bi,bj,myThid) |
779 |
|
#endif |
780 |
ENDIF |
ENDIF |
781 |
|
|
782 |
IF (nonHydrostatic.OR.quasiHydrostatic) THEN |
C-- 3.D Coriolis term (horizontal momentum, Eastward component: -f'*w) |
783 |
CALL MOM_U_CORIOLIS_NH(bi,bj,k,wVel,cf,myThid) |
IF ( nonHydrostatic.OR.quasiHydrostatic ) THEN |
784 |
DO j=jMin,jMax |
CALL MOM_U_CORIOLIS_NH(bi,bj,k,wVel,cf,myThid) |
785 |
DO i=iMin,iMax |
DO j=jMin,jMax |
786 |
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+fuFac*cf(i,j) |
DO i=iMin,iMax |
787 |
|
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+fuFac*cf(i,j) |
788 |
|
ENDDO |
789 |
|
ENDDO |
790 |
|
IF ( usingCurvilinearGrid ) THEN |
791 |
|
C- presently, non zero angleSinC array only supported with Curvilinear-Grid |
792 |
|
CALL MOM_V_CORIOLIS_NH(bi,bj,k,wVel,cf,myThid) |
793 |
|
DO j=jMin,jMax |
794 |
|
DO i=iMin,iMax |
795 |
|
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)+fvFac*cf(i,j) |
796 |
|
ENDDO |
797 |
ENDDO |
ENDDO |
798 |
|
ENDIF |
799 |
|
ENDIF |
800 |
|
|
801 |
|
C-- Set du/dt & dv/dt on boundaries to zero |
802 |
|
DO j=jMin,jMax |
803 |
|
DO i=iMin,iMax |
804 |
|
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)*_maskW(i,j,k,bi,bj) |
805 |
|
guDiss(i,j) = guDiss(i,j) *_maskW(i,j,k,bi,bj) |
806 |
|
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)*_maskS(i,j,k,bi,bj) |
807 |
|
gvDiss(i,j) = gvDiss(i,j) *_maskS(i,j,k,bi,bj) |
808 |
ENDDO |
ENDDO |
809 |
|
ENDDO |
810 |
|
|
811 |
|
#ifdef ALLOW_DIAGNOSTICS |
812 |
|
IF ( useDiagnostics ) THEN |
813 |
|
CALL DIAGNOSTICS_FILL(KE, 'momKE ',k,1,2,bi,bj,myThid) |
814 |
|
CALL DIAGNOSTICS_FILL(gU(1-Olx,1-Oly,k,bi,bj), |
815 |
|
& 'Um_Advec',k,1,2,bi,bj,myThid) |
816 |
|
CALL DIAGNOSTICS_FILL(gV(1-Olx,1-Oly,k,bi,bj), |
817 |
|
& 'Vm_Advec',k,1,2,bi,bj,myThid) |
818 |
|
IF (momViscosity) THEN |
819 |
|
CALL DIAGNOSTICS_FILL(guDiss,'Um_Diss ',k,1,2,bi,bj,myThid) |
820 |
|
CALL DIAGNOSTICS_FILL(gvDiss,'Vm_Diss ',k,1,2,bi,bj,myThid) |
821 |
|
ENDIF |
822 |
ENDIF |
ENDIF |
823 |
|
#endif /* ALLOW_DIAGNOSTICS */ |
824 |
|
|
825 |
RETURN |
RETURN |
826 |
END |
END |