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 |
59 |
C k :: vertical level |
C k :: vertical level |
60 |
C kUp :: =1 or 2 for consecutive k |
C kUp :: =1 or 2 for consecutive k |
61 |
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 |
|
62 |
C KappaRU :: vertical viscosity |
C KappaRU :: vertical viscosity |
63 |
C KappaRV :: vertical viscosity |
C KappaRV :: vertical viscosity |
64 |
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 |
65 |
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 |
66 |
|
C guDiss :: dissipation tendency (all explicit terms), u component |
67 |
|
C gvDiss :: dissipation tendency (all explicit terms), v component |
68 |
C myTime :: current time |
C myTime :: current time |
69 |
C myIter :: current time-step number |
C myIter :: current time-step number |
70 |
C myThid :: thread number |
C myThid :: thread number |
71 |
INTEGER bi,bj,iMin,iMax,jMin,jMax |
INTEGER bi,bj,iMin,iMax,jMin,jMax |
72 |
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) |
|
73 |
_RL KappaRU(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
_RL KappaRU(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
74 |
_RL KappaRV(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
_RL KappaRV(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
75 |
_RL fVerU(1-OLx:sNx+OLx,1-OLy:sNy+OLy,2) |
_RL fVerU(1-OLx:sNx+OLx,1-OLy:sNy+OLy,2) |
76 |
_RL fVerV(1-OLx:sNx+OLx,1-OLy:sNy+OLy,2) |
_RL fVerV(1-OLx:sNx+OLx,1-OLy:sNy+OLy,2) |
77 |
|
_RL guDiss(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
78 |
|
_RL gvDiss(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
79 |
_RL myTime |
_RL myTime |
80 |
INTEGER myIter |
INTEGER myIter |
81 |
INTEGER myThid |
INTEGER myThid |
85 |
|
|
86 |
C !LOCAL VARIABLES: ==================================================== |
C !LOCAL VARIABLES: ==================================================== |
87 |
C i,j :: loop indices |
C i,j :: loop indices |
|
C aF :: advective flux |
|
88 |
C vF :: viscous flux |
C vF :: viscous flux |
89 |
C v4F :: bi-harmonic viscous flux |
C v4F :: bi-harmonic viscous flux |
|
C vrF :: vertical viscous flux |
|
90 |
C cF :: Coriolis acceleration |
C cF :: Coriolis acceleration |
91 |
C mT :: Metric terms |
C mT :: Metric terms |
|
C pF :: Pressure gradient |
|
92 |
C fZon :: zonal fluxes |
C fZon :: zonal fluxes |
93 |
C fMer :: meridional fluxes |
C fMer :: meridional fluxes |
94 |
|
C fVrUp,fVrDw :: vertical viscous fluxes at interface k-1 & k |
95 |
INTEGER i,j |
INTEGER i,j |
|
_RL aF(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
|
96 |
_RL vF(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL vF(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
97 |
_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) |
|
98 |
_RL cF(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL cF(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
99 |
_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) |
|
100 |
_RL fZon(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL fZon(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
101 |
_RL fMer(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL fMer(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
102 |
C wMaskOverride - Land sea flag override for top layer. |
_RL fVrUp(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
103 |
C afFacMom - Tracer parameters for turning terms |
_RL fVrDw(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
104 |
C vfFacMom on and off. |
C afFacMom :: Tracer parameters for turning terms on and off. |
105 |
|
C vfFacMom |
106 |
C pfFacMom afFacMom - Advective terms |
C pfFacMom afFacMom - Advective terms |
107 |
C cfFacMom vfFacMom - Eddy viscosity terms |
C cfFacMom vfFacMom - Eddy viscosity terms |
108 |
C mTFacMom pfFacMom - Pressure terms |
C mtFacMom pfFacMom - Pressure terms |
109 |
C cfFacMom - Coriolis terms |
C cfFacMom - Coriolis terms |
110 |
C foFacMom - Forcing |
C foFacMom - Forcing |
111 |
C mTFacMom - Metric term |
C mtFacMom - Metric term |
112 |
C uDudxFac, AhDudxFac, etc ... individual term tracer parameters |
C uDudxFac, AhDudxFac, etc ... individual term parameters for switching terms off |
113 |
_RS hFacZ(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RS hFacZ(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
114 |
_RS r_hFacZ(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RS r_hFacZ(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
115 |
_RS xA(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RS xA(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
121 |
_RL rTransU(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL rTransU(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
122 |
_RL rTransV(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL rTransV(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
123 |
_RL KE(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL KE(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
124 |
_RL viscAhD(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL viscAh_D(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
125 |
_RL viscAhZ(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL viscAh_Z(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
126 |
_RL viscA4D(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL viscA4_D(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
127 |
_RL viscA4Z(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL viscA4_Z(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
128 |
_RL vort3(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL vort3(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
129 |
_RL hDiv(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL hDiv(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
130 |
_RL strain(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL strain(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
131 |
_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. |
|
132 |
_RL uDudxFac |
_RL uDudxFac |
133 |
_RL AhDudxFac |
_RL AhDudxFac |
|
_RL A4DuxxdxFac |
|
134 |
_RL vDudyFac |
_RL vDudyFac |
135 |
_RL AhDudyFac |
_RL AhDudyFac |
|
_RL A4DuyydyFac |
|
136 |
_RL rVelDudrFac |
_RL rVelDudrFac |
137 |
_RL ArDudrFac |
_RL ArDudrFac |
138 |
_RL fuFac |
_RL fuFac |
|
_RL phxFac |
|
139 |
_RL mtFacU |
_RL mtFacU |
140 |
|
_RL mtNHFacU |
141 |
_RL uDvdxFac |
_RL uDvdxFac |
142 |
_RL AhDvdxFac |
_RL AhDvdxFac |
|
_RL A4DvxxdxFac |
|
143 |
_RL vDvdyFac |
_RL vDvdyFac |
144 |
_RL AhDvdyFac |
_RL AhDvdyFac |
|
_RL A4DvyydyFac |
|
145 |
_RL rVelDvdrFac |
_RL rVelDvdrFac |
146 |
_RL ArDvdrFac |
_RL ArDvdrFac |
147 |
_RL fvFac |
_RL fvFac |
|
_RL phyFac |
|
|
_RL vForcFac |
|
148 |
_RL mtFacV |
_RL mtFacV |
149 |
INTEGER km1,kp1 |
_RL mtNHFacV |
150 |
_RL wVelBottomOverride |
_RL sideMaskFac |
151 |
LOGICAL bottomDragTerms |
LOGICAL bottomDragTerms,harmonic,biharmonic,useVariableViscosity |
152 |
CEOP |
CEOP |
153 |
|
|
|
km1=MAX(1,k-1) |
|
|
kp1=MIN(Nr,k+1) |
|
|
rVelMaskOverride=1. |
|
|
IF ( k .EQ. 1 ) rVelMaskOverride=freeSurfFac |
|
|
wVelBottomOverride=1. |
|
|
IF (k.EQ.Nr) wVelBottomOverride=0. |
|
|
|
|
154 |
C Initialise intermediate terms |
C Initialise intermediate terms |
155 |
DO J=1-OLy,sNy+OLy |
DO j=1-OLy,sNy+OLy |
156 |
DO I=1-OLx,sNx+OLx |
DO i=1-OLx,sNx+OLx |
|
aF(i,j) = 0. |
|
157 |
vF(i,j) = 0. |
vF(i,j) = 0. |
158 |
v4F(i,j) = 0. |
v4F(i,j) = 0. |
|
vrF(i,j) = 0. |
|
159 |
cF(i,j) = 0. |
cF(i,j) = 0. |
160 |
mT(i,j) = 0. |
mT(i,j) = 0. |
|
pF(i,j) = 0. |
|
161 |
fZon(i,j) = 0. |
fZon(i,j) = 0. |
162 |
fMer(i,j) = 0. |
fMer(i,j) = 0. |
163 |
rTransU(i,j) = 0. |
fVrUp(i,j)= 0. |
164 |
rTransV(i,j) = 0. |
fVrDw(i,j)= 0. |
165 |
|
rTransU(i,j)= 0. |
166 |
|
rTransV(i,j)= 0. |
167 |
strain(i,j) = 0. |
strain(i,j) = 0. |
168 |
tension(i,j) = 0. |
tension(i,j)= 0. |
169 |
|
guDiss(i,j) = 0. |
170 |
|
gvDiss(i,j) = 0. |
171 |
|
#ifdef ALLOW_AUTODIFF_TAMC |
172 |
|
vort3(i,j) = 0. _d 0 |
173 |
|
strain(i,j) = 0. _d 0 |
174 |
|
tension(i,j) = 0. _d 0 |
175 |
|
#endif |
176 |
ENDDO |
ENDDO |
177 |
ENDDO |
ENDDO |
178 |
|
|
180 |
C o U momentum equation |
C o U momentum equation |
181 |
uDudxFac = afFacMom*1. |
uDudxFac = afFacMom*1. |
182 |
AhDudxFac = vfFacMom*1. |
AhDudxFac = vfFacMom*1. |
|
A4DuxxdxFac = vfFacMom*1. |
|
183 |
vDudyFac = afFacMom*1. |
vDudyFac = afFacMom*1. |
184 |
AhDudyFac = vfFacMom*1. |
AhDudyFac = vfFacMom*1. |
|
A4DuyydyFac = vfFacMom*1. |
|
185 |
rVelDudrFac = afFacMom*1. |
rVelDudrFac = afFacMom*1. |
186 |
ArDudrFac = vfFacMom*1. |
ArDudrFac = vfFacMom*1. |
187 |
mTFacU = mtFacMom*1. |
mtFacU = mtFacMom*1. |
188 |
|
mtNHFacU = 1. |
189 |
fuFac = cfFacMom*1. |
fuFac = cfFacMom*1. |
|
phxFac = pfFacMom*1. |
|
190 |
C o V momentum equation |
C o V momentum equation |
191 |
uDvdxFac = afFacMom*1. |
uDvdxFac = afFacMom*1. |
192 |
AhDvdxFac = vfFacMom*1. |
AhDvdxFac = vfFacMom*1. |
|
A4DvxxdxFac = vfFacMom*1. |
|
193 |
vDvdyFac = afFacMom*1. |
vDvdyFac = afFacMom*1. |
194 |
AhDvdyFac = vfFacMom*1. |
AhDvdyFac = vfFacMom*1. |
|
A4DvyydyFac = vfFacMom*1. |
|
195 |
rVelDvdrFac = afFacMom*1. |
rVelDvdrFac = afFacMom*1. |
196 |
ArDvdrFac = vfFacMom*1. |
ArDvdrFac = vfFacMom*1. |
197 |
mTFacV = mtFacMom*1. |
mtFacV = mtFacMom*1. |
198 |
|
mtNHFacV = 1. |
199 |
fvFac = cfFacMom*1. |
fvFac = cfFacMom*1. |
200 |
phyFac = pfFacMom*1. |
|
201 |
vForcFac = foFacMom*1. |
IF (implicitViscosity) THEN |
202 |
|
ArDudrFac = 0. |
203 |
|
ArDvdrFac = 0. |
204 |
|
ENDIF |
205 |
|
|
206 |
|
C note: using standard stencil (no mask) results in under-estimating |
207 |
|
C vorticity at a no-slip boundary by a factor of 2 = sideDragFactor |
208 |
|
IF ( no_slip_sides ) THEN |
209 |
|
sideMaskFac = sideDragFactor |
210 |
|
ELSE |
211 |
|
sideMaskFac = 0. _d 0 |
212 |
|
ENDIF |
213 |
|
|
214 |
IF ( no_slip_bottom |
IF ( no_slip_bottom |
215 |
& .OR. bottomDragQuadratic.NE.0. |
& .OR. bottomDragQuadratic.NE.0. |
219 |
bottomDragTerms=.FALSE. |
bottomDragTerms=.FALSE. |
220 |
ENDIF |
ENDIF |
221 |
|
|
|
C-- with stagger time stepping, grad Phi_Hyp is directly incoporated in TIMESTEP |
|
|
IF (staggerTimeStep) THEN |
|
|
phxFac = 0. |
|
|
phyFac = 0. |
|
|
ENDIF |
|
|
|
|
222 |
C-- Calculate open water fraction at vorticity points |
C-- Calculate open water fraction at vorticity points |
223 |
CALL MOM_CALC_HFACZ(bi,bj,k,hFacZ,r_hFacZ,myThid) |
CALL MOM_CALC_HFACZ(bi,bj,k,hFacZ,r_hFacZ,myThid) |
224 |
|
|
249 |
ENDDO |
ENDDO |
250 |
ENDDO |
ENDDO |
251 |
|
|
252 |
CALL MOM_CALC_KE(bi,bj,k,3,uFld,vFld,KE,myThid) |
CALL MOM_CALC_KE(bi,bj,k,2,uFld,vFld,KE,myThid) |
253 |
|
IF ( momViscosity) THEN |
254 |
c IF (viscAstrain.NE.0. .OR. viscAtension.NE.0.) THEN |
CALL MOM_CALC_HDIV(bi,bj,k,2,uFld,vFld,hDiv,myThid) |
255 |
CALL MOM_CALC_TENSION(bi,bj,k,uFld,vFld, |
CALL MOM_CALC_RELVORT3(bi,bj,k,uFld,vFld,hFacZ,vort3,myThid) |
256 |
O tension, |
CALL MOM_CALC_TENSION(bi,bj,k,uFld,vFld,tension,myThid) |
257 |
I myThid) |
CALL MOM_CALC_STRAIN(bi,bj,k,uFld,vFld,hFacZ,strain,myThid) |
258 |
CALL MOM_CALC_STRAIN(bi,bj,k,uFld,vFld,hFacZ, |
DO j=1-Oly,sNy+Oly |
259 |
O strain, |
DO i=1-Olx,sNx+Olx |
260 |
I myThid) |
IF ( hFacZ(i,j).EQ.0. ) THEN |
261 |
c ENDIF |
vort3(i,j) = sideMaskFac*vort3(i,j) |
262 |
|
strain(i,j) = sideMaskFac*strain(i,j) |
263 |
|
ENDIF |
264 |
|
ENDDO |
265 |
|
ENDDO |
266 |
|
#ifdef ALLOW_DIAGNOSTICS |
267 |
|
IF ( useDiagnostics ) THEN |
268 |
|
CALL DIAGNOSTICS_FILL(hDiv, 'momHDiv ',k,1,2,bi,bj,myThid) |
269 |
|
CALL DIAGNOSTICS_FILL(vort3, 'momVort3',k,1,2,bi,bj,myThid) |
270 |
|
CALL DIAGNOSTICS_FILL(tension,'Tension ',k,1,2,bi,bj,myThid) |
271 |
|
CALL DIAGNOSTICS_FILL(strain, 'Strain ',k,1,2,bi,bj,myThid) |
272 |
|
ENDIF |
273 |
|
#endif |
274 |
|
ENDIF |
275 |
|
|
276 |
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) |
277 |
IF (momAdvection.AND.k.EQ.1) THEN |
IF (momAdvection.AND.k.EQ.1) THEN |
278 |
|
|
279 |
C- Calculate vertical transports above U & V points (West & South face): |
C- Calculate vertical transports above U & V points (West & South face): |
280 |
CALL MOM_CALC_RTRANS( k, bi, bj, |
CALL MOM_CALC_RTRANS( k, bi, bj, |
281 |
O rTransU, rTransV, |
O rTransU, rTransV, |
282 |
I myTime, myIter, myThid) |
I myTime, myIter, myThid) |
283 |
|
|
284 |
C- Free surface correction term (flux at k=1) |
C- Free surface correction term (flux at k=1) |
285 |
CALL MOM_U_ADV_WU(bi,bj,k,uVel,wVel,rTransU,af,myThid) |
CALL MOM_U_ADV_WU( bi,bj,k,uVel,wVel,rTransU, |
286 |
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 |
|
287 |
|
|
288 |
CALL MOM_V_ADV_WV(bi,bj,k,vVel,wVel,rTransV,af,myThid) |
CALL MOM_V_ADV_WV( bi,bj,k,vVel,wVel,rTransV, |
289 |
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 |
|
290 |
|
|
291 |
C--- endif momAdvection & k=1 |
C--- endif momAdvection & k=1 |
292 |
ENDIF |
ENDIF |
294 |
|
|
295 |
C--- Calculate vertical transports (at k+1) below U & V points : |
C--- Calculate vertical transports (at k+1) below U & V points : |
296 |
IF (momAdvection) THEN |
IF (momAdvection) THEN |
297 |
CALL MOM_CALC_RTRANS( k+1, bi, bj, |
CALL MOM_CALC_RTRANS( k+1, bi, bj, |
298 |
O rTransU, rTransV, |
O rTransU, rTransV, |
299 |
I myTime, myIter, myThid) |
I myTime, myIter, myThid) |
300 |
ENDIF |
ENDIF |
301 |
|
|
302 |
c IF (momViscosity) THEN |
IF (momViscosity) THEN |
303 |
c & CALL MOM_CALC_VISCOSITY(bi,bj,k, |
CALL MOM_CALC_VISC( |
304 |
c I uFld,vFld, |
I bi,bj,k, |
305 |
c O viscAhD,viscAhZ,myThid) |
O viscAh_Z,viscAh_D,viscA4_Z,viscA4_D, |
306 |
|
O harmonic,biharmonic,useVariableViscosity, |
307 |
|
I hDiv,vort3,tension,strain,KE,hFacZ, |
308 |
|
I myThid) |
309 |
|
ENDIF |
310 |
|
|
311 |
C---- Zonal momentum equation starts here |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
312 |
|
|
313 |
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) |
|
314 |
|
|
315 |
C--- Calculate mean and eddy fluxes between cells for zonal flow. |
IF (momAdvection) THEN |
316 |
|
C--- Calculate mean fluxes (advection) between cells for zonal flow. |
317 |
|
|
318 |
C-- Zonal flux (fZon is at east face of "u" cell) |
C-- Zonal flux (fZon is at east face of "u" cell) |
319 |
|
C Mean flow component of zonal flux -> fZon |
320 |
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 |
|
321 |
|
|
322 |
C-- Meridional flux (fMer is at south face of "u" cell) |
C-- Meridional flux (fMer is at south face of "u" cell) |
323 |
|
C Mean flow component of meridional flux -> fMer |
324 |
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 |
|
325 |
|
|
326 |
C-- Vertical flux (fVer is at upper face of "u" cell) |
C-- Vertical flux (fVer is at upper face of "u" cell) |
327 |
|
C Mean flow component of vertical flux (at k+1) -> fVer |
328 |
C Mean flow component of vertical flux (at k+1) -> aF |
CALL MOM_U_ADV_WU( |
329 |
IF (momAdvection) |
I bi,bj,k+1,uVel,wVel,rTransU, |
330 |
& 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 |
|
331 |
|
|
332 |
C-- Tendency is minus divergence of the fluxes + coriolis + pressure term |
C-- Tendency is minus divergence of the fluxes + coriolis + pressure term |
333 |
DO j=jMin,jMax |
DO j=jMin,jMax |
334 |
DO i=iMin,iMax |
DO i=iMin,iMax |
335 |
gU(i,j,k,bi,bj) = |
gU(i,j,k,bi,bj) = |
336 |
#ifdef OLD_UV_GEOM |
#ifdef OLD_UV_GEOM |
337 |
& -_recip_hFacW(i,j,k,bi,bj)*recip_drF(k)/ |
& -_recip_hFacW(i,j,k,bi,bj)*recip_drF(k)/ |
338 |
& ( 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)) ) |
339 |
#else |
#else |
340 |
& -_recip_hFacW(i,j,k,bi,bj)*recip_drF(k) |
& -_recip_hFacW(i,j,k,bi,bj)*recip_drF(k) |
341 |
& *recip_rAw(i,j,bi,bj) |
& *recip_rAw(i,j,bi,bj) |
342 |
|
#endif |
343 |
|
& *( ( fZon(i,j ) - fZon(i-1,j) )*uDudxFac |
344 |
|
& +( fMer(i,j+1) - fMer(i, j) )*vDudyFac |
345 |
|
& +(fVerU(i,j,kDown) - fVerU(i,j,kUp))*rkSign*rVelDudrFac |
346 |
|
& ) |
347 |
|
ENDDO |
348 |
|
ENDDO |
349 |
|
|
350 |
|
#ifdef ALLOW_DIAGNOSTICS |
351 |
|
IF ( useDiagnostics ) THEN |
352 |
|
CALL DIAGNOSTICS_FILL(fZon,'ADVx_Um ',k,1,2,bi,bj,myThid) |
353 |
|
CALL DIAGNOSTICS_FILL(fMer,'ADVy_Um ',k,1,2,bi,bj,myThid) |
354 |
|
CALL DIAGNOSTICS_FILL(fVerU(1-Olx,1-Oly,kUp), |
355 |
|
& 'ADVrE_Um',k,1,2,bi,bj,myThid) |
356 |
|
ENDIF |
357 |
#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 |
|
358 |
|
|
359 |
#ifdef NONLIN_FRSURF |
#ifdef NONLIN_FRSURF |
360 |
C-- account for 3.D divergence of the flow in rStar coordinate: |
C-- account for 3.D divergence of the flow in rStar coordinate: |
361 |
IF ( momAdvection .AND. select_rStar.GT.0 ) THEN |
# ifndef DISABLE_RSTAR_CODE |
362 |
DO j=jMin,jMax |
IF ( select_rStar.GT.0 ) THEN |
363 |
DO i=iMin,iMax |
DO j=jMin,jMax |
364 |
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj) |
DO i=iMin,iMax |
365 |
|
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj) |
366 |
& - (rStarExpW(i,j,bi,bj) - 1. _d 0)/deltaTfreesurf |
& - (rStarExpW(i,j,bi,bj) - 1. _d 0)/deltaTfreesurf |
367 |
& *uVel(i,j,k,bi,bj) |
& *uVel(i,j,k,bi,bj) |
368 |
ENDDO |
ENDDO |
369 |
ENDDO |
ENDDO |
370 |
ENDIF |
ENDIF |
371 |
IF ( momAdvection .AND. select_rStar.LT.0 ) THEN |
IF ( select_rStar.LT.0 ) THEN |
372 |
DO j=jMin,jMax |
DO j=jMin,jMax |
373 |
DO i=iMin,iMax |
DO i=iMin,iMax |
374 |
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj) |
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj) |
375 |
& - rStarDhWDt(i,j,bi,bj)*uVel(i,j,k,bi,bj) |
& - rStarDhWDt(i,j,bi,bj)*uVel(i,j,k,bi,bj) |
376 |
|
ENDDO |
377 |
|
ENDDO |
378 |
|
ENDIF |
379 |
|
# endif /* DISABLE_RSTAR_CODE */ |
380 |
|
#endif /* NONLIN_FRSURF */ |
381 |
|
|
382 |
|
ELSE |
383 |
|
C- if momAdvection / else |
384 |
|
DO j=1-OLy,sNy+OLy |
385 |
|
DO i=1-OLx,sNx+OLx |
386 |
|
gU(i,j,k,bi,bj) = 0. _d 0 |
387 |
|
ENDDO |
388 |
ENDDO |
ENDDO |
389 |
ENDDO |
|
390 |
|
C- endif momAdvection. |
391 |
ENDIF |
ENDIF |
392 |
#endif /* NONLIN_FRSURF */ |
|
393 |
|
IF (momViscosity) THEN |
394 |
|
C--- Calculate eddy fluxes (dissipation) between cells for zonal flow. |
395 |
|
|
396 |
|
C Bi-harmonic term del^2 U -> v4F |
397 |
|
IF (biharmonic) |
398 |
|
& CALL MOM_U_DEL2U(bi,bj,k,uFld,hFacZ,v4f,myThid) |
399 |
|
|
400 |
|
C Laplacian and bi-harmonic terms, Zonal Fluxes -> fZon |
401 |
|
CALL MOM_U_XVISCFLUX(bi,bj,k,uFld,v4F,fZon, |
402 |
|
I viscAh_D,viscA4_D,myThid) |
403 |
|
|
404 |
|
C Laplacian and bi-harmonic termis, Merid Fluxes -> fMer |
405 |
|
CALL MOM_U_YVISCFLUX(bi,bj,k,uFld,v4F,hFacZ,fMer, |
406 |
|
I viscAh_Z,viscA4_Z,myThid) |
407 |
|
|
408 |
|
C Eddy component of vertical flux (interior component only) -> fVrUp & fVrDw |
409 |
|
IF (.NOT.implicitViscosity) THEN |
410 |
|
CALL MOM_U_RVISCFLUX(bi,bj, k, uVel,KappaRU,fVrUp,myThid) |
411 |
|
CALL MOM_U_RVISCFLUX(bi,bj,k+1,uVel,KappaRU,fVrDw,myThid) |
412 |
|
ENDIF |
413 |
|
|
414 |
|
C-- Tendency is minus divergence of the fluxes |
415 |
|
DO j=jMin,jMax |
416 |
|
DO i=iMin,iMax |
417 |
|
guDiss(i,j) = |
418 |
|
#ifdef OLD_UV_GEOM |
419 |
|
& -_recip_hFacW(i,j,k,bi,bj)*recip_drF(k)/ |
420 |
|
& ( 0.5 _d 0*(rA(i,j,bi,bj)+rA(i-1,j,bi,bj)) ) |
421 |
|
#else |
422 |
|
& -_recip_hFacW(i,j,k,bi,bj)*recip_drF(k) |
423 |
|
& *recip_rAw(i,j,bi,bj) |
424 |
|
#endif |
425 |
|
& *( ( fZon(i,j ) - fZon(i-1,j) )*AhDudxFac |
426 |
|
& +( fMer(i,j+1) - fMer(i, j) )*AhDudyFac |
427 |
|
& +( fVrDw(i,j) - fVrUp(i,j) )*rkSign*ArDudrFac |
428 |
|
& ) |
429 |
|
ENDDO |
430 |
|
ENDDO |
431 |
|
|
432 |
|
#ifdef ALLOW_DIAGNOSTICS |
433 |
|
IF ( useDiagnostics ) THEN |
434 |
|
CALL DIAGNOSTICS_FILL(fZon, 'VISCx_Um',k,1,2,bi,bj,myThid) |
435 |
|
CALL DIAGNOSTICS_FILL(fMer, 'VISCy_Um',k,1,2,bi,bj,myThid) |
436 |
|
IF (.NOT.implicitViscosity) |
437 |
|
& CALL DIAGNOSTICS_FILL(fVrUp,'VISrE_Um',k,1,2,bi,bj,myThid) |
438 |
|
ENDIF |
439 |
|
#endif |
440 |
|
|
441 |
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 |
442 |
IF (momViscosity.AND.no_slip_sides) THEN |
IF (no_slip_sides) THEN |
443 |
C- No-slip BCs impose a drag at walls... |
C- No-slip BCs impose a drag at walls... |
444 |
CALL MOM_U_SIDEDRAG(bi,bj,k,uFld,v4F,hFacZ,vF,myThid) |
CALL MOM_U_SIDEDRAG( |
445 |
DO j=jMin,jMax |
I bi,bj,k, |
446 |
DO i=iMin,iMax |
I uFld, v4f, hFacZ, |
447 |
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+vF(i,j) |
I viscAh_Z,viscA4_Z, |
448 |
ENDDO |
I harmonic,biharmonic,useVariableViscosity, |
449 |
ENDDO |
O vF, |
450 |
ENDIF |
I myThid) |
451 |
|
DO j=jMin,jMax |
452 |
|
DO i=iMin,iMax |
453 |
|
gUdiss(i,j) = gUdiss(i,j) + vF(i,j) |
454 |
|
ENDDO |
455 |
|
ENDDO |
456 |
|
ENDIF |
457 |
C- No-slip BCs impose a drag at bottom |
C- No-slip BCs impose a drag at bottom |
458 |
IF (momViscosity.AND.bottomDragTerms) THEN |
IF (bottomDragTerms) THEN |
459 |
CALL MOM_U_BOTTOMDRAG(bi,bj,k,uFld,KE,KappaRU,vF,myThid) |
CALL MOM_U_BOTTOMDRAG(bi,bj,k,uFld,KE,KappaRU,vF,myThid) |
460 |
DO j=jMin,jMax |
DO j=jMin,jMax |
461 |
DO i=iMin,iMax |
DO i=iMin,iMax |
462 |
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+vF(i,j) |
gUdiss(i,j) = gUdiss(i,j) + vF(i,j) |
463 |
ENDDO |
ENDDO |
464 |
ENDDO |
ENDDO |
465 |
|
ENDIF |
466 |
|
|
467 |
|
#ifdef ALLOW_SHELFICE |
468 |
|
IF (useShelfIce) THEN |
469 |
|
CALL SHELFICE_U_DRAG(bi,bj,k,uFld,KE,KappaRU,vF,myThid) |
470 |
|
DO j=jMin,jMax |
471 |
|
DO i=iMin,iMax |
472 |
|
gUdiss(i,j) = gUdiss(i,j) + vF(i,j) |
473 |
|
ENDDO |
474 |
|
ENDDO |
475 |
|
ENDIF |
476 |
|
#endif /* ALLOW_SHELFICE */ |
477 |
|
|
478 |
|
C- endif momViscosity |
479 |
ENDIF |
ENDIF |
480 |
|
|
481 |
C-- Forcing term (moved to timestep.F) |
C-- Forcing term (moved to timestep.F) |
486 |
|
|
487 |
C-- Metric terms for curvilinear grid systems |
C-- Metric terms for curvilinear grid systems |
488 |
IF (useNHMTerms) THEN |
IF (useNHMTerms) THEN |
489 |
C o Non-hydrosatic metric terms |
C o Non-Hydrostatic (spherical) metric terms |
490 |
CALL MOM_U_METRIC_NH(bi,bj,k,uFld,wVel,mT,myThid) |
CALL MOM_U_METRIC_NH(bi,bj,k,uFld,wVel,mT,myThid) |
491 |
DO j=jMin,jMax |
DO j=jMin,jMax |
492 |
DO i=iMin,iMax |
DO i=iMin,iMax |
493 |
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) |
494 |
ENDDO |
ENDDO |
495 |
ENDDO |
ENDDO |
496 |
ENDIF |
ENDIF |
497 |
IF (usingSphericalPolarMTerms) THEN |
IF ( usingSphericalPolarGrid .AND. metricTerms ) THEN |
498 |
|
C o Spherical polar grid metric terms |
499 |
CALL MOM_U_METRIC_SPHERE(bi,bj,k,uFld,vFld,mT,myThid) |
CALL MOM_U_METRIC_SPHERE(bi,bj,k,uFld,vFld,mT,myThid) |
500 |
DO j=jMin,jMax |
DO j=jMin,jMax |
501 |
DO i=iMin,iMax |
DO i=iMin,iMax |
502 |
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) |
503 |
ENDDO |
ENDDO |
504 |
ENDDO |
ENDDO |
505 |
ENDIF |
ENDIF |
506 |
|
IF ( usingCylindricalGrid .AND. metricTerms ) THEN |
507 |
C-- Set du/dt on boundaries to zero |
C o Cylindrical grid metric terms |
508 |
DO j=jMin,jMax |
CALL MOM_U_METRIC_CYLINDER(bi,bj,k,uFld,vFld,mT,myThid) |
509 |
DO i=iMin,iMax |
DO j=jMin,jMax |
510 |
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)*_maskW(i,j,k,bi,bj) |
DO i=iMin,iMax |
511 |
|
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+mtFacU*mT(i,j) |
512 |
|
ENDDO |
513 |
ENDDO |
ENDDO |
514 |
ENDDO |
ENDIF |
515 |
|
|
516 |
|
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
517 |
|
|
518 |
C---- Meridional momentum equation starts here |
C---- Meridional momentum equation starts here |
519 |
|
|
520 |
C Bi-harmonic term del^2 V -> v4F |
IF (momAdvection) THEN |
521 |
IF (momViscosity .AND. viscA4.NE.0. ) |
C--- Calculate mean fluxes (advection) between cells for meridional flow. |
522 |
& CALL MOM_V_DEL2V(bi,bj,k,vFld,hFacZ,v4f,myThid) |
C Mean flow component of zonal flux -> fZon |
523 |
|
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 |
|
524 |
|
|
525 |
C-- Meridional flux (fMer is at north face of "v" cell) |
C-- Meridional flux (fMer is at north face of "v" cell) |
526 |
|
C Mean flow component of meridional flux -> fMer |
527 |
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 |
|
528 |
|
|
529 |
C-- Vertical flux (fVer is at upper face of "v" cell) |
C-- Vertical flux (fVer is at upper face of "v" cell) |
530 |
|
C Mean flow component of vertical flux (at k+1) -> fVerV |
531 |
C o Mean flow component of vertical flux |
CALL MOM_V_ADV_WV( |
532 |
IF (momAdvection) |
I bi,bj,k+1,vVel,wVel,rTransV, |
533 |
& 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 |
|
534 |
|
|
535 |
C-- Tendency is minus divergence of the fluxes + coriolis + pressure term |
C-- Tendency is minus divergence of the fluxes + coriolis + pressure term |
536 |
DO j=jMin,jMax |
DO j=jMin,jMax |
537 |
DO i=iMin,iMax |
DO i=iMin,iMax |
538 |
gV(i,j,k,bi,bj) = |
gV(i,j,k,bi,bj) = |
539 |
#ifdef OLD_UV_GEOM |
#ifdef OLD_UV_GEOM |
540 |
& -_recip_hFacS(i,j,k,bi,bj)*recip_drF(k)/ |
& -_recip_hFacS(i,j,k,bi,bj)*recip_drF(k)/ |
541 |
& ( 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)) ) |
542 |
#else |
#else |
543 |
& -_recip_hFacS(i,j,k,bi,bj)*recip_drF(k) |
& -_recip_hFacS(i,j,k,bi,bj)*recip_drF(k) |
544 |
& *recip_rAs(i,j,bi,bj) |
& *recip_rAs(i,j,bi,bj) |
545 |
|
#endif |
546 |
|
& *( ( fZon(i+1,j) - fZon(i,j ) )*uDvdxFac |
547 |
|
& +( fMer(i, j) - fMer(i,j-1) )*vDvdyFac |
548 |
|
& +(fVerV(i,j,kDown) - fVerV(i,j,kUp))*rkSign*rVelDvdrFac |
549 |
|
& ) |
550 |
|
ENDDO |
551 |
|
ENDDO |
552 |
|
|
553 |
|
#ifdef ALLOW_DIAGNOSTICS |
554 |
|
IF ( useDiagnostics ) THEN |
555 |
|
CALL DIAGNOSTICS_FILL(fZon,'ADVx_Vm ',k,1,2,bi,bj,myThid) |
556 |
|
CALL DIAGNOSTICS_FILL(fMer,'ADVy_Vm ',k,1,2,bi,bj,myThid) |
557 |
|
CALL DIAGNOSTICS_FILL(fVerV(1-Olx,1-Oly,kUp), |
558 |
|
& 'ADVrE_Vm',k,1,2,bi,bj,myThid) |
559 |
|
ENDIF |
560 |
#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 |
|
561 |
|
|
562 |
#ifdef NONLIN_FRSURF |
#ifdef NONLIN_FRSURF |
563 |
C-- account for 3.D divergence of the flow in rStar coordinate: |
C-- account for 3.D divergence of the flow in rStar coordinate: |
564 |
IF ( momAdvection .AND. select_rStar.GT.0 ) THEN |
# ifndef DISABLE_RSTAR_CODE |
565 |
DO j=jMin,jMax |
IF ( select_rStar.GT.0 ) THEN |
566 |
DO i=iMin,iMax |
DO j=jMin,jMax |
567 |
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj) |
DO i=iMin,iMax |
568 |
|
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj) |
569 |
& - (rStarExpS(i,j,bi,bj) - 1. _d 0)/deltaTfreesurf |
& - (rStarExpS(i,j,bi,bj) - 1. _d 0)/deltaTfreesurf |
570 |
& *vVel(i,j,k,bi,bj) |
& *vVel(i,j,k,bi,bj) |
571 |
ENDDO |
ENDDO |
572 |
ENDDO |
ENDDO |
573 |
ENDIF |
ENDIF |
574 |
IF ( momAdvection .AND. select_rStar.LT.0 ) THEN |
IF ( select_rStar.LT.0 ) THEN |
575 |
DO j=jMin,jMax |
DO j=jMin,jMax |
576 |
DO i=iMin,iMax |
DO i=iMin,iMax |
577 |
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj) |
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj) |
578 |
& - rStarDhSDt(i,j,bi,bj)*vVel(i,j,k,bi,bj) |
& - rStarDhSDt(i,j,bi,bj)*vVel(i,j,k,bi,bj) |
579 |
|
ENDDO |
580 |
|
ENDDO |
581 |
|
ENDIF |
582 |
|
# endif /* DISABLE_RSTAR_CODE */ |
583 |
|
#endif /* NONLIN_FRSURF */ |
584 |
|
|
585 |
|
ELSE |
586 |
|
C- if momAdvection / else |
587 |
|
DO j=1-OLy,sNy+OLy |
588 |
|
DO i=1-OLx,sNx+OLx |
589 |
|
gV(i,j,k,bi,bj) = 0. _d 0 |
590 |
|
ENDDO |
591 |
ENDDO |
ENDDO |
592 |
ENDDO |
|
593 |
|
C- endif momAdvection. |
594 |
ENDIF |
ENDIF |
595 |
#endif /* NONLIN_FRSURF */ |
|
596 |
|
IF (momViscosity) THEN |
597 |
|
C--- Calculate eddy fluxes (dissipation) between cells for meridional flow. |
598 |
|
C Bi-harmonic term del^2 V -> v4F |
599 |
|
IF (biharmonic) |
600 |
|
& CALL MOM_V_DEL2V(bi,bj,k,vFld,hFacZ,v4f,myThid) |
601 |
|
|
602 |
|
C Laplacian and bi-harmonic terms, Zonal Fluxes -> fZon |
603 |
|
CALL MOM_V_XVISCFLUX(bi,bj,k,vFld,v4f,hFacZ,fZon, |
604 |
|
I viscAh_Z,viscA4_Z,myThid) |
605 |
|
|
606 |
|
C Laplacian and bi-harmonic termis, Merid Fluxes -> fMer |
607 |
|
CALL MOM_V_YVISCFLUX(bi,bj,k,vFld,v4f,fMer, |
608 |
|
I viscAh_D,viscA4_D,myThid) |
609 |
|
|
610 |
|
C Eddy component of vertical flux (interior component only) -> fVrUp & fVrDw |
611 |
|
IF (.NOT.implicitViscosity) THEN |
612 |
|
CALL MOM_V_RVISCFLUX(bi,bj, k, vVel,KappaRV,fVrUp,myThid) |
613 |
|
CALL MOM_V_RVISCFLUX(bi,bj,k+1,vVel,KappaRV,fVrDw,myThid) |
614 |
|
ENDIF |
615 |
|
|
616 |
|
C-- Tendency is minus divergence of the fluxes + coriolis + pressure term |
617 |
|
DO j=jMin,jMax |
618 |
|
DO i=iMin,iMax |
619 |
|
gvDiss(i,j) = |
620 |
|
#ifdef OLD_UV_GEOM |
621 |
|
& -_recip_hFacS(i,j,k,bi,bj)*recip_drF(k)/ |
622 |
|
& ( 0.5 _d 0*(_rA(i,j,bi,bj)+_rA(i,j-1,bi,bj)) ) |
623 |
|
#else |
624 |
|
& -_recip_hFacS(i,j,k,bi,bj)*recip_drF(k) |
625 |
|
& *recip_rAs(i,j,bi,bj) |
626 |
|
#endif |
627 |
|
& *( ( fZon(i+1,j) - fZon(i,j ) )*AhDvdxFac |
628 |
|
& +( fMer(i, j) - fMer(i,j-1) )*AhDvdyFac |
629 |
|
& +( fVrDw(i,j) - fVrUp(i,j) )*rkSign*ArDvdrFac |
630 |
|
& ) |
631 |
|
ENDDO |
632 |
|
ENDDO |
633 |
|
|
634 |
|
#ifdef ALLOW_DIAGNOSTICS |
635 |
|
IF ( useDiagnostics ) THEN |
636 |
|
CALL DIAGNOSTICS_FILL(fZon, 'VISCx_Vm',k,1,2,bi,bj,myThid) |
637 |
|
CALL DIAGNOSTICS_FILL(fMer, 'VISCy_Vm',k,1,2,bi,bj,myThid) |
638 |
|
IF (.NOT.implicitViscosity) |
639 |
|
& CALL DIAGNOSTICS_FILL(fVrUp,'VISrE_Vm',k,1,2,bi,bj,myThid) |
640 |
|
ENDIF |
641 |
|
#endif |
642 |
|
|
643 |
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 |
644 |
IF (momViscosity.AND.no_slip_sides) THEN |
IF (no_slip_sides) THEN |
645 |
C- No-slip BCs impose a drag at walls... |
C- No-slip BCs impose a drag at walls... |
646 |
CALL MOM_V_SIDEDRAG(bi,bj,k,vFld,v4F,hFacZ,vF,myThid) |
CALL MOM_V_SIDEDRAG( |
647 |
DO j=jMin,jMax |
I bi,bj,k, |
648 |
DO i=iMin,iMax |
I vFld, v4f, hFacZ, |
649 |
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)+vF(i,j) |
I viscAh_Z,viscA4_Z, |
650 |
ENDDO |
I harmonic,biharmonic,useVariableViscosity, |
651 |
ENDDO |
O vF, |
652 |
ENDIF |
I myThid) |
653 |
|
DO j=jMin,jMax |
654 |
|
DO i=iMin,iMax |
655 |
|
gvDiss(i,j) = gvDiss(i,j) + vF(i,j) |
656 |
|
ENDDO |
657 |
|
ENDDO |
658 |
|
ENDIF |
659 |
C- No-slip BCs impose a drag at bottom |
C- No-slip BCs impose a drag at bottom |
660 |
IF (momViscosity.AND.bottomDragTerms) THEN |
IF (bottomDragTerms) THEN |
661 |
CALL MOM_V_BOTTOMDRAG(bi,bj,k,vFld,KE,KappaRV,vF,myThid) |
CALL MOM_V_BOTTOMDRAG(bi,bj,k,vFld,KE,KappaRV,vF,myThid) |
662 |
DO j=jMin,jMax |
DO j=jMin,jMax |
663 |
DO i=iMin,iMax |
DO i=iMin,iMax |
664 |
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)+vF(i,j) |
gvDiss(i,j) = gvDiss(i,j) + vF(i,j) |
665 |
ENDDO |
ENDDO |
666 |
ENDDO |
ENDDO |
667 |
|
ENDIF |
668 |
|
|
669 |
|
#ifdef ALLOW_SHELFICE |
670 |
|
IF (useShelfIce) THEN |
671 |
|
CALL SHELFICE_V_DRAG(bi,bj,k,vFld,KE,KappaRU,vF,myThid) |
672 |
|
DO j=jMin,jMax |
673 |
|
DO i=iMin,iMax |
674 |
|
gvDiss(i,j) = gvDiss(i,j) + vF(i,j) |
675 |
|
ENDDO |
676 |
|
ENDDO |
677 |
|
ENDIF |
678 |
|
#endif /* ALLOW_SHELFICE */ |
679 |
|
|
680 |
|
C- endif momViscosity |
681 |
ENDIF |
ENDIF |
682 |
|
|
683 |
C-- Forcing term (moved to timestep.F) |
C-- Forcing term (moved to timestep.F) |
688 |
|
|
689 |
C-- Metric terms for curvilinear grid systems |
C-- Metric terms for curvilinear grid systems |
690 |
IF (useNHMTerms) THEN |
IF (useNHMTerms) THEN |
691 |
C o Spherical polar grid metric terms |
C o Non-Hydrostatic (spherical) metric terms |
692 |
CALL MOM_V_METRIC_NH(bi,bj,k,vFld,wVel,mT,myThid) |
CALL MOM_V_METRIC_NH(bi,bj,k,vFld,wVel,mT,myThid) |
693 |
DO j=jMin,jMax |
DO j=jMin,jMax |
694 |
DO i=iMin,iMax |
DO i=iMin,iMax |
695 |
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) |
696 |
ENDDO |
ENDDO |
697 |
ENDDO |
ENDDO |
698 |
ENDIF |
ENDIF |
699 |
IF (usingSphericalPolarMTerms) THEN |
IF ( usingSphericalPolarGrid .AND. metricTerms ) THEN |
700 |
|
C o Spherical polar grid metric terms |
701 |
CALL MOM_V_METRIC_SPHERE(bi,bj,k,uFld,mT,myThid) |
CALL MOM_V_METRIC_SPHERE(bi,bj,k,uFld,mT,myThid) |
702 |
DO j=jMin,jMax |
DO j=jMin,jMax |
703 |
DO i=iMin,iMax |
DO i=iMin,iMax |
704 |
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) |
705 |
ENDDO |
ENDDO |
706 |
ENDDO |
ENDDO |
707 |
ENDIF |
ENDIF |
708 |
|
IF ( usingCylindricalGrid .AND. metricTerms ) THEN |
709 |
C-- Set dv/dt on boundaries to zero |
C o Cylindrical grid metric terms |
710 |
DO j=jMin,jMax |
CALL MOM_V_METRIC_CYLINDER(bi,bj,k,uFld,vFld,mT,myThid) |
711 |
DO i=iMin,iMax |
DO j=jMin,jMax |
712 |
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)*_maskS(i,j,k,bi,bj) |
DO i=iMin,iMax |
713 |
|
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)+mtFacV*mT(i,j) |
714 |
|
ENDDO |
715 |
ENDDO |
ENDDO |
716 |
ENDDO |
ENDIF |
717 |
|
|
718 |
|
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
719 |
|
|
720 |
C-- Coriolis term |
C-- Coriolis term |
721 |
C Note. As coded here, coriolis will not work with "thin walls" |
C Note. As coded here, coriolis will not work with "thin walls" |
729 |
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) |
730 |
ENDDO |
ENDDO |
731 |
ENDDO |
ENDDO |
732 |
|
#ifdef ALLOW_DIAGNOSTICS |
733 |
|
IF ( useDiagnostics ) |
734 |
|
& CALL DIAGNOSTICS_FILL(cf,'Um_Cori ',k,1,2,bi,bj,myThid) |
735 |
|
#endif |
736 |
CALL MOM_V_CORIOLIS(bi,bj,k,uFld,cf,myThid) |
CALL MOM_V_CORIOLIS(bi,bj,k,uFld,cf,myThid) |
737 |
DO j=jMin,jMax |
DO j=jMin,jMax |
738 |
DO i=iMin,iMax |
DO i=iMin,iMax |
739 |
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) |
740 |
ENDDO |
ENDDO |
741 |
ENDDO |
ENDDO |
742 |
|
#ifdef ALLOW_DIAGNOSTICS |
743 |
|
IF ( useDiagnostics ) |
744 |
|
& CALL DIAGNOSTICS_FILL(cf,'Vm_Cori ',k,1,2,bi,bj,myThid) |
745 |
|
#endif |
746 |
ENDIF |
ENDIF |
747 |
|
|
748 |
IF (nonHydrostatic.OR.quasiHydrostatic) THEN |
C-- 3.D Coriolis term (horizontal momentum, Eastward component: -f'*w) |
749 |
CALL MOM_U_CORIOLIS_NH(bi,bj,k,wVel,cf,myThid) |
IF ( nonHydrostatic.OR.quasiHydrostatic ) THEN |
750 |
DO j=jMin,jMax |
CALL MOM_U_CORIOLIS_NH(bi,bj,k,wVel,cf,myThid) |
751 |
DO i=iMin,iMax |
DO j=jMin,jMax |
752 |
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+fuFac*cf(i,j) |
DO i=iMin,iMax |
753 |
|
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+fuFac*cf(i,j) |
754 |
|
ENDDO |
755 |
ENDDO |
ENDDO |
756 |
|
IF ( usingCurvilinearGrid ) THEN |
757 |
|
C- presently, non zero angleSinC array only supported with Curvilinear-Grid |
758 |
|
CALL MOM_V_CORIOLIS_NH(bi,bj,k,wVel,cf,myThid) |
759 |
|
DO j=jMin,jMax |
760 |
|
DO i=iMin,iMax |
761 |
|
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)+fvFac*cf(i,j) |
762 |
|
ENDDO |
763 |
|
ENDDO |
764 |
|
ENDIF |
765 |
|
ENDIF |
766 |
|
|
767 |
|
C-- Set du/dt & dv/dt on boundaries to zero |
768 |
|
DO j=jMin,jMax |
769 |
|
DO i=iMin,iMax |
770 |
|
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)*_maskW(i,j,k,bi,bj) |
771 |
|
guDiss(i,j) = guDiss(i,j) *_maskW(i,j,k,bi,bj) |
772 |
|
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)*_maskS(i,j,k,bi,bj) |
773 |
|
gvDiss(i,j) = gvDiss(i,j) *_maskS(i,j,k,bi,bj) |
774 |
ENDDO |
ENDDO |
775 |
|
ENDDO |
776 |
|
|
777 |
|
#ifdef ALLOW_DIAGNOSTICS |
778 |
|
IF ( useDiagnostics ) THEN |
779 |
|
CALL DIAGNOSTICS_FILL(KE, 'momKE ',k,1,2,bi,bj,myThid) |
780 |
|
CALL DIAGNOSTICS_FILL(gU(1-Olx,1-Oly,k,bi,bj), |
781 |
|
& 'Um_Advec',k,1,2,bi,bj,myThid) |
782 |
|
CALL DIAGNOSTICS_FILL(gV(1-Olx,1-Oly,k,bi,bj), |
783 |
|
& 'Vm_Advec',k,1,2,bi,bj,myThid) |
784 |
|
IF (momViscosity) THEN |
785 |
|
CALL DIAGNOSTICS_FILL(guDiss,'Um_Diss ',k,1,2,bi,bj,myThid) |
786 |
|
CALL DIAGNOSTICS_FILL(gvDiss,'Vm_Diss ',k,1,2,bi,bj,myThid) |
787 |
|
ENDIF |
788 |
ENDIF |
ENDIF |
789 |
|
#endif /* ALLOW_DIAGNOSTICS */ |
790 |
|
|
791 |
RETURN |
RETURN |
792 |
END |
END |