1 |
C $Header: /u/gcmpack/MITgcm/pkg/mom_fluxform/mom_fluxform.F,v 1.5 2002/11/05 18:49:02 adcroft Exp $ |
2 |
C $Name: $ |
3 |
|
4 |
CBOI |
5 |
C !TITLE: pkg/mom\_advdiff |
6 |
C !AUTHORS: adcroft@mit.edu |
7 |
C !INTRODUCTION: Flux-form Momentum Equations Package |
8 |
C |
9 |
C Package "mom\_fluxform" provides methods for calculating explicit terms |
10 |
C in the momentum equation cast in flux-form: |
11 |
C \begin{eqnarray*} |
12 |
C G^u & = & -\frac{1}{\rho} \partial_x \phi_h |
13 |
C -\nabla \cdot {\bf v} u |
14 |
C -fv |
15 |
C +\frac{1}{\rho} \nabla \cdot {\bf \tau}^x |
16 |
C + \mbox{metrics} |
17 |
C \\ |
18 |
C G^v & = & -\frac{1}{\rho} \partial_y \phi_h |
19 |
C -\nabla \cdot {\bf v} v |
20 |
C +fu |
21 |
C +\frac{1}{\rho} \nabla \cdot {\bf \tau}^y |
22 |
C + \mbox{metrics} |
23 |
C \end{eqnarray*} |
24 |
C where ${\bf v}=(u,v,w)$ and $\tau$, the stress tensor, includes surface |
25 |
C stresses as well as internal viscous stresses. |
26 |
CEOI |
27 |
|
28 |
#include "CPP_OPTIONS.h" |
29 |
|
30 |
CBOP |
31 |
C !ROUTINE: MOM_FLUXFORM |
32 |
|
33 |
C !INTERFACE: ========================================================== |
34 |
SUBROUTINE MOM_FLUXFORM( |
35 |
I bi,bj,iMin,iMax,jMin,jMax,k,kUp,kDown, |
36 |
I phi_hyd,KappaRU,KappaRV, |
37 |
U fVerU, fVerV, |
38 |
I myCurrentTime,myIter,myThid) |
39 |
|
40 |
C !DESCRIPTION: |
41 |
C Calculates all the horizontal accelerations except for the implicit surface |
42 |
C pressure gradient and implciit vertical viscosity. |
43 |
|
44 |
C !USES: =============================================================== |
45 |
C == Global variables == |
46 |
IMPLICIT NONE |
47 |
#include "SIZE.h" |
48 |
#include "DYNVARS.h" |
49 |
#include "FFIELDS.h" |
50 |
#include "EEPARAMS.h" |
51 |
#include "PARAMS.h" |
52 |
#include "GRID.h" |
53 |
#include "SURFACE.h" |
54 |
|
55 |
C !INPUT PARAMETERS: =================================================== |
56 |
C bi,bj :: tile indices |
57 |
C iMin,iMax,jMin,jMAx :: loop ranges |
58 |
C k :: vertical level |
59 |
C kUp :: =1 or 2 for consecutive k |
60 |
C kDown :: =2 or 1 for consecutive k |
61 |
C phi_hyd :: hydrostatic pressure (perturbation) |
62 |
C KappaRU :: vertical viscosity |
63 |
C KappaRV :: vertical viscosity |
64 |
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 |
66 |
C myCurrentTime :: current time |
67 |
C myIter :: current time-step number |
68 |
C myThid :: thread number |
69 |
INTEGER bi,bj,iMin,iMax,jMin,jMax |
70 |
INTEGER k,kUp,kDown |
71 |
_RL phi_hyd(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
72 |
_RL KappaRU(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
73 |
_RL KappaRV(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
74 |
_RL fVerU(1-OLx:sNx+OLx,1-OLy:sNy+OLy,2) |
75 |
_RL fVerV(1-OLx:sNx+OLx,1-OLy:sNy+OLy,2) |
76 |
_RL myCurrentTime |
77 |
INTEGER myIter |
78 |
INTEGER myThid |
79 |
|
80 |
C !OUTPUT PARAMETERS: ================================================== |
81 |
C None - updates gU() and gV() in common blocks |
82 |
|
83 |
C !LOCAL VARIABLES: ==================================================== |
84 |
C i,j :: loop indices |
85 |
C aF :: advective flux |
86 |
C vF :: viscous flux |
87 |
C v4F :: bi-harmonic viscous flux |
88 |
C vrF :: vertical viscous flux |
89 |
C cF :: Coriolis acceleration |
90 |
C mT :: Metric terms |
91 |
C pF :: Pressure gradient |
92 |
C fZon :: zonal fluxes |
93 |
C fMer :: meridional fluxes |
94 |
INTEGER i,j |
95 |
_RL aF(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
96 |
_RL vF(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
97 |
_RL v4F(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
98 |
_RL vrF(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
99 |
_RL cF(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
100 |
_RL mT(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
101 |
_RL pF(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
102 |
_RL fZon(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
103 |
_RL fMer(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
104 |
C wMaskOverride - Land sea flag override for top layer. |
105 |
C afFacMom - Tracer parameters for turning terms |
106 |
C vfFacMom on and off. |
107 |
C pfFacMom afFacMom - Advective terms |
108 |
C cfFacMom vfFacMom - Eddy viscosity terms |
109 |
C mTFacMom pfFacMom - Pressure terms |
110 |
C cfFacMom - Coriolis terms |
111 |
C foFacMom - Forcing |
112 |
C mTFacMom - Metric term |
113 |
C uDudxFac, AhDudxFac, etc ... individual term tracer parameters |
114 |
_RS hFacZ(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
115 |
_RS r_hFacZ(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
116 |
_RS xA(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
117 |
_RS yA(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
118 |
_RL uTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
119 |
_RL vTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
120 |
_RL uFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
121 |
_RL vFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
122 |
C I,J,K - Loop counters |
123 |
C rVelMaskOverride - Factor for imposing special surface boundary conditions |
124 |
C ( set according to free-surface condition ). |
125 |
C hFacROpen - Lopped cell factos used tohold fraction of open |
126 |
C hFacRClosed and closed cell wall. |
127 |
_RL rVelMaskOverride |
128 |
C xxxFac - On-off tracer parameters used for switching terms off. |
129 |
_RL uDudxFac |
130 |
_RL AhDudxFac |
131 |
_RL A4DuxxdxFac |
132 |
_RL vDudyFac |
133 |
_RL AhDudyFac |
134 |
_RL A4DuyydyFac |
135 |
_RL rVelDudrFac |
136 |
_RL ArDudrFac |
137 |
_RL fuFac |
138 |
_RL phxFac |
139 |
_RL mtFacU |
140 |
_RL uDvdxFac |
141 |
_RL AhDvdxFac |
142 |
_RL A4DvxxdxFac |
143 |
_RL vDvdyFac |
144 |
_RL AhDvdyFac |
145 |
_RL A4DvyydyFac |
146 |
_RL rVelDvdrFac |
147 |
_RL ArDvdrFac |
148 |
_RL fvFac |
149 |
_RL phyFac |
150 |
_RL vForcFac |
151 |
_RL mtFacV |
152 |
INTEGER km1,kp1 |
153 |
_RL wVelBottomOverride |
154 |
LOGICAL bottomDragTerms |
155 |
_RL KE(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
156 |
CEOP |
157 |
|
158 |
km1=MAX(1,k-1) |
159 |
kp1=MIN(Nr,k+1) |
160 |
rVelMaskOverride=1. |
161 |
IF ( k .EQ. 1 ) rVelMaskOverride=freeSurfFac |
162 |
wVelBottomOverride=1. |
163 |
IF (k.EQ.Nr) wVelBottomOverride=0. |
164 |
|
165 |
C Initialise intermediate terms |
166 |
DO J=1-OLy,sNy+OLy |
167 |
DO I=1-OLx,sNx+OLx |
168 |
aF(i,j) = 0. |
169 |
vF(i,j) = 0. |
170 |
v4F(i,j) = 0. |
171 |
vrF(i,j) = 0. |
172 |
cF(i,j) = 0. |
173 |
mT(i,j) = 0. |
174 |
pF(i,j) = 0. |
175 |
fZon(i,j) = 0. |
176 |
fMer(i,j) = 0. |
177 |
ENDDO |
178 |
ENDDO |
179 |
|
180 |
C-- Term by term tracer parmeters |
181 |
C o U momentum equation |
182 |
uDudxFac = afFacMom*1. |
183 |
AhDudxFac = vfFacMom*1. |
184 |
A4DuxxdxFac = vfFacMom*1. |
185 |
vDudyFac = afFacMom*1. |
186 |
AhDudyFac = vfFacMom*1. |
187 |
A4DuyydyFac = vfFacMom*1. |
188 |
rVelDudrFac = afFacMom*1. |
189 |
ArDudrFac = vfFacMom*1. |
190 |
mTFacU = mtFacMom*1. |
191 |
fuFac = cfFacMom*1. |
192 |
phxFac = pfFacMom*1. |
193 |
C o V momentum equation |
194 |
uDvdxFac = afFacMom*1. |
195 |
AhDvdxFac = vfFacMom*1. |
196 |
A4DvxxdxFac = vfFacMom*1. |
197 |
vDvdyFac = afFacMom*1. |
198 |
AhDvdyFac = vfFacMom*1. |
199 |
A4DvyydyFac = vfFacMom*1. |
200 |
rVelDvdrFac = afFacMom*1. |
201 |
ArDvdrFac = vfFacMom*1. |
202 |
mTFacV = mtFacMom*1. |
203 |
fvFac = cfFacMom*1. |
204 |
phyFac = pfFacMom*1. |
205 |
vForcFac = foFacMom*1. |
206 |
|
207 |
IF ( no_slip_bottom |
208 |
& .OR. bottomDragQuadratic.NE.0. |
209 |
& .OR. bottomDragLinear.NE.0.) THEN |
210 |
bottomDragTerms=.TRUE. |
211 |
ELSE |
212 |
bottomDragTerms=.FALSE. |
213 |
ENDIF |
214 |
|
215 |
C-- with stagger time stepping, grad Phi_Hyp is directly incoporated in TIMESTEP |
216 |
IF (staggerTimeStep) THEN |
217 |
phxFac = 0. |
218 |
phyFac = 0. |
219 |
ENDIF |
220 |
|
221 |
C-- Calculate open water fraction at vorticity points |
222 |
CALL MOM_CALC_HFACZ(bi,bj,k,hFacZ,r_hFacZ,myThid) |
223 |
|
224 |
C---- Calculate common quantities used in both U and V equations |
225 |
C Calculate tracer cell face open areas |
226 |
DO j=1-OLy,sNy+OLy |
227 |
DO i=1-OLx,sNx+OLx |
228 |
xA(i,j) = _dyG(i,j,bi,bj) |
229 |
& *drF(k)*_hFacW(i,j,k,bi,bj) |
230 |
yA(i,j) = _dxG(i,j,bi,bj) |
231 |
& *drF(k)*_hFacS(i,j,k,bi,bj) |
232 |
ENDDO |
233 |
ENDDO |
234 |
|
235 |
C Make local copies of horizontal flow field |
236 |
DO j=1-OLy,sNy+OLy |
237 |
DO i=1-OLx,sNx+OLx |
238 |
uFld(i,j) = uVel(i,j,k,bi,bj) |
239 |
vFld(i,j) = vVel(i,j,k,bi,bj) |
240 |
ENDDO |
241 |
ENDDO |
242 |
|
243 |
C Calculate velocity field "volume transports" through tracer cell faces. |
244 |
DO j=1-OLy,sNy+OLy |
245 |
DO i=1-OLx,sNx+OLx |
246 |
uTrans(i,j) = uFld(i,j)*xA(i,j) |
247 |
vTrans(i,j) = vFld(i,j)*yA(i,j) |
248 |
ENDDO |
249 |
ENDDO |
250 |
|
251 |
CALL MOM_CALC_KE(bi,bj,k,uFld,vFld,KE,myThid) |
252 |
|
253 |
C---- Zonal momentum equation starts here |
254 |
|
255 |
C Bi-harmonic term del^2 U -> v4F |
256 |
IF (momViscosity) |
257 |
& CALL MOM_U_DEL2U(bi,bj,k,uFld,hFacZ,v4f,myThid) |
258 |
|
259 |
C--- Calculate mean and eddy fluxes between cells for zonal flow. |
260 |
|
261 |
C-- Zonal flux (fZon is at east face of "u" cell) |
262 |
|
263 |
C Mean flow component of zonal flux -> aF |
264 |
IF (momAdvection) |
265 |
& CALL MOM_U_ADV_UU(bi,bj,k,uTrans,uFld,aF,myThid) |
266 |
|
267 |
C Laplacian and bi-harmonic terms -> vF |
268 |
IF (momViscosity) |
269 |
& CALL MOM_U_XVISCFLUX(bi,bj,k,uFld,v4F,vF,myThid) |
270 |
|
271 |
C Combine fluxes -> fZon |
272 |
DO j=jMin,jMax |
273 |
DO i=iMin,iMax |
274 |
fZon(i,j) = uDudxFac*aF(i,j) + AhDudxFac*vF(i,j) |
275 |
ENDDO |
276 |
ENDDO |
277 |
|
278 |
C-- Meridional flux (fMer is at south face of "u" cell) |
279 |
|
280 |
C Mean flow component of meridional flux |
281 |
IF (momAdvection) |
282 |
& CALL MOM_U_ADV_VU(bi,bj,k,vTrans,uFld,aF,myThid) |
283 |
|
284 |
C Laplacian and bi-harmonic term |
285 |
IF (momViscosity) |
286 |
& CALL MOM_U_YVISCFLUX(bi,bj,k,uFld,v4F,hFacZ,vF,myThid) |
287 |
|
288 |
C Combine fluxes -> fMer |
289 |
DO j=jMin,jMax |
290 |
DO i=iMin,iMax |
291 |
fMer(i,j) = vDudyFac*aF(i,j) + AhDudyFac*vF(i,j) |
292 |
ENDDO |
293 |
ENDDO |
294 |
|
295 |
C-- Vertical flux (fVer is at upper face of "u" cell) |
296 |
|
297 |
C-- Free surface correction term (flux at k=1) |
298 |
IF (momAdvection.AND.k.EQ.1) THEN |
299 |
CALL MOM_U_ADV_WU(bi,bj,k,uVel,wVel,af,myThid) |
300 |
DO j=jMin,jMax |
301 |
DO i=iMin,iMax |
302 |
fVerU(i,j,kUp) = af(i,j) |
303 |
ENDDO |
304 |
ENDDO |
305 |
ENDIF |
306 |
C Mean flow component of vertical flux (at k+1) -> aF |
307 |
IF (momAdvection) |
308 |
& CALL MOM_U_ADV_WU(bi,bj,k+1,uVel,wVel,af,myThid) |
309 |
|
310 |
C Eddy component of vertical flux (interior component only) -> vrF |
311 |
IF (momViscosity.AND..NOT.implicitViscosity) |
312 |
& CALL MOM_U_RVISCFLUX(bi,bj,k,uVel,KappaRU,vrF,myThid) |
313 |
|
314 |
C Combine fluxes |
315 |
DO j=jMin,jMax |
316 |
DO i=iMin,iMax |
317 |
fVerU(i,j,kDown) = rVelDudrFac*aF(i,j) + ArDudrFac*vrF(i,j) |
318 |
ENDDO |
319 |
ENDDO |
320 |
|
321 |
C--- Hydrostatic term ( -1/rhoConst . dphi/dx ) |
322 |
IF (momPressureForcing) THEN |
323 |
DO j=jMin,jMax |
324 |
DO i=iMin,iMax |
325 |
pf(i,j) = - _recip_dxC(i,j,bi,bj) |
326 |
& *(phi_hyd(i,j,k)-phi_hyd(i-1,j,k)) |
327 |
ENDDO |
328 |
ENDDO |
329 |
ENDIF |
330 |
|
331 |
C-- Tendency is minus divergence of the fluxes + coriolis + pressure term |
332 |
DO j=jMin,jMax |
333 |
DO i=iMin,iMax |
334 |
gU(i,j,k,bi,bj) = |
335 |
#ifdef OLD_UV_GEOM |
336 |
& -_recip_hFacW(i,j,k,bi,bj)*recip_drF(k)/ |
337 |
& ( 0.5 _d 0*(rA(i,j,bi,bj)+rA(i-1,j,bi,bj)) ) |
338 |
#else |
339 |
& -_recip_hFacW(i,j,k,bi,bj)*recip_drF(k) |
340 |
& *recip_rAw(i,j,bi,bj) |
341 |
#endif |
342 |
& *(fZon(i,j ) - fZon(i-1,j) |
343 |
& +fMer(i,j+1) - fMer(i ,j) |
344 |
& +fVerU(i,j,kUp)*rkFac - fVerU(i,j,kDown)*rkFac |
345 |
& ) |
346 |
& _PHM( +phxFac * pf(i,j) ) |
347 |
ENDDO |
348 |
ENDDO |
349 |
|
350 |
C-- No-slip and drag BCs appear as body forces in cell abutting topography |
351 |
IF (momViscosity.AND.no_slip_sides) THEN |
352 |
C- No-slip BCs impose a drag at walls... |
353 |
CALL MOM_U_SIDEDRAG(bi,bj,k,uFld,v4F,hFacZ,vF,myThid) |
354 |
DO j=jMin,jMax |
355 |
DO i=iMin,iMax |
356 |
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+vF(i,j) |
357 |
ENDDO |
358 |
ENDDO |
359 |
ENDIF |
360 |
C- No-slip BCs impose a drag at bottom |
361 |
IF (momViscosity.AND.bottomDragTerms) THEN |
362 |
CALL MOM_U_BOTTOMDRAG(bi,bj,k,uFld,KE,KappaRU,vF,myThid) |
363 |
DO j=jMin,jMax |
364 |
DO i=iMin,iMax |
365 |
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+vF(i,j) |
366 |
ENDDO |
367 |
ENDDO |
368 |
ENDIF |
369 |
|
370 |
C-- Forcing term |
371 |
IF (momForcing) |
372 |
& CALL EXTERNAL_FORCING_U( |
373 |
I iMin,iMax,jMin,jMax,bi,bj,k, |
374 |
I myCurrentTime,myThid) |
375 |
|
376 |
C-- Metric terms for curvilinear grid systems |
377 |
IF (useNHMTerms) THEN |
378 |
C o Non-hydrosatic metric terms |
379 |
CALL MOM_U_METRIC_NH(bi,bj,k,uFld,wVel,mT,myThid) |
380 |
DO j=jMin,jMax |
381 |
DO i=iMin,iMax |
382 |
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+mTFacU*mT(i,j) |
383 |
ENDDO |
384 |
ENDDO |
385 |
ENDIF |
386 |
IF (usingSphericalPolarMTerms) THEN |
387 |
CALL MOM_U_METRIC_SPHERE(bi,bj,k,uFld,vFld,mT,myThid) |
388 |
DO j=jMin,jMax |
389 |
DO i=iMin,iMax |
390 |
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+mTFacU*mT(i,j) |
391 |
ENDDO |
392 |
ENDDO |
393 |
ENDIF |
394 |
|
395 |
C-- Set du/dt on boundaries to zero |
396 |
DO j=jMin,jMax |
397 |
DO i=iMin,iMax |
398 |
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)*_maskW(i,j,k,bi,bj) |
399 |
ENDDO |
400 |
ENDDO |
401 |
|
402 |
|
403 |
C---- Meridional momentum equation starts here |
404 |
|
405 |
C Bi-harmonic term del^2 V -> v4F |
406 |
IF (momViscosity) |
407 |
& CALL MOM_V_DEL2V(bi,bj,k,vFld,hFacZ,v4f,myThid) |
408 |
|
409 |
C--- Calculate mean and eddy fluxes between cells for meridional flow. |
410 |
|
411 |
C-- Zonal flux (fZon is at west face of "v" cell) |
412 |
|
413 |
C Mean flow component of zonal flux -> aF |
414 |
IF (momAdvection) |
415 |
& CALL MOM_V_ADV_UV(bi,bj,k,uTrans,vFld,af,myThid) |
416 |
|
417 |
C Laplacian and bi-harmonic terms -> vF |
418 |
IF (momViscosity) |
419 |
& CALL MOM_V_XVISCFLUX(bi,bj,k,vFld,v4f,hFacZ,vf,myThid) |
420 |
|
421 |
C Combine fluxes -> fZon |
422 |
DO j=jMin,jMax |
423 |
DO i=iMin,iMax |
424 |
fZon(i,j) = uDvdxFac*aF(i,j) + AhDvdxFac*vF(i,j) |
425 |
ENDDO |
426 |
ENDDO |
427 |
|
428 |
C-- Meridional flux (fMer is at north face of "v" cell) |
429 |
|
430 |
C Mean flow component of meridional flux |
431 |
IF (momAdvection) |
432 |
& CALL MOM_V_ADV_VV(bi,bj,k,vTrans,vFld,af,myThid) |
433 |
|
434 |
C Laplacian and bi-harmonic term |
435 |
IF (momViscosity) |
436 |
& CALL MOM_V_YVISCFLUX(bi,bj,k,vFld,v4f,vf,myThid) |
437 |
|
438 |
C Combine fluxes -> fMer |
439 |
DO j=jMin,jMax |
440 |
DO i=iMin,iMax |
441 |
fMer(i,j) = vDvdyFac*aF(i,j) + AhDvdyFac*vF(i,j) |
442 |
ENDDO |
443 |
ENDDO |
444 |
|
445 |
C-- Vertical flux (fVer is at upper face of "v" cell) |
446 |
|
447 |
C-- Free surface correction term (flux at k=1) |
448 |
IF (momAdvection.AND.k.EQ.1) THEN |
449 |
CALL MOM_V_ADV_WV(bi,bj,k,vVel,wVel,af,myThid) |
450 |
DO j=jMin,jMax |
451 |
DO i=iMin,iMax |
452 |
fVerV(i,j,kUp) = af(i,j) |
453 |
ENDDO |
454 |
ENDDO |
455 |
ENDIF |
456 |
C o Mean flow component of vertical flux |
457 |
IF (momAdvection) |
458 |
& CALL MOM_V_ADV_WV(bi,bj,k+1,vVel,wVel,af,myThid) |
459 |
|
460 |
C Eddy component of vertical flux (interior component only) -> vrF |
461 |
IF (momViscosity.AND..NOT.implicitViscosity) |
462 |
& CALL MOM_V_RVISCFLUX(bi,bj,k,vVel,KappaRV,vrf,myThid) |
463 |
|
464 |
C Combine fluxes -> fVerV |
465 |
DO j=jMin,jMax |
466 |
DO i=iMin,iMax |
467 |
fVerV(i,j,kDown) = rVelDvdrFac*aF(i,j) + ArDvdrFac*vrF(i,j) |
468 |
ENDDO |
469 |
ENDDO |
470 |
|
471 |
C--- Hydorstatic term (-1/rhoConst . dphi/dy ) |
472 |
IF (momPressureForcing) THEN |
473 |
DO j=jMin,jMax |
474 |
DO i=iMin,iMax |
475 |
pF(i,j) = -_recip_dyC(i,j,bi,bj) |
476 |
& *(phi_hyd(i,j,k)-phi_hyd(i,j-1,k)) |
477 |
ENDDO |
478 |
ENDDO |
479 |
ENDIF |
480 |
|
481 |
C-- Tendency is minus divergence of the fluxes + coriolis + pressure term |
482 |
DO j=jMin,jMax |
483 |
DO i=iMin,iMax |
484 |
gV(i,j,k,bi,bj) = |
485 |
#ifdef OLD_UV_GEOM |
486 |
& -_recip_hFacS(i,j,k,bi,bj)*recip_drF(k)/ |
487 |
& ( 0.5 _d 0*(_rA(i,j,bi,bj)+_rA(i,j-1,bi,bj)) ) |
488 |
#else |
489 |
& -_recip_hFacS(i,j,k,bi,bj)*recip_drF(k) |
490 |
& *recip_rAs(i,j,bi,bj) |
491 |
#endif |
492 |
& *(fZon(i+1,j) - fZon(i,j ) |
493 |
& +fMer(i,j ) - fMer(i,j-1) |
494 |
& +fVerV(i,j,kUp)*rkFac - fVerV(i,j,kDown)*rkFac |
495 |
& ) |
496 |
& _PHM( +phyFac*pf(i,j) ) |
497 |
ENDDO |
498 |
ENDDO |
499 |
|
500 |
C-- No-slip and drag BCs appear as body forces in cell abutting topography |
501 |
IF (momViscosity.AND.no_slip_sides) THEN |
502 |
C- No-slip BCs impose a drag at walls... |
503 |
CALL MOM_V_SIDEDRAG(bi,bj,k,vFld,v4F,hFacZ,vF,myThid) |
504 |
DO j=jMin,jMax |
505 |
DO i=iMin,iMax |
506 |
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)+vF(i,j) |
507 |
ENDDO |
508 |
ENDDO |
509 |
ENDIF |
510 |
C- No-slip BCs impose a drag at bottom |
511 |
IF (momViscosity.AND.bottomDragTerms) THEN |
512 |
CALL MOM_V_BOTTOMDRAG(bi,bj,k,vFld,KE,KappaRV,vF,myThid) |
513 |
DO j=jMin,jMax |
514 |
DO i=iMin,iMax |
515 |
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)+vF(i,j) |
516 |
ENDDO |
517 |
ENDDO |
518 |
ENDIF |
519 |
|
520 |
C-- Forcing term |
521 |
IF (momForcing) |
522 |
& CALL EXTERNAL_FORCING_V( |
523 |
I iMin,iMax,jMin,jMax,bi,bj,k, |
524 |
I myCurrentTime,myThid) |
525 |
|
526 |
C-- Metric terms for curvilinear grid systems |
527 |
IF (useNHMTerms) THEN |
528 |
C o Spherical polar grid metric terms |
529 |
CALL MOM_V_METRIC_NH(bi,bj,k,vFld,wVel,mT,myThid) |
530 |
DO j=jMin,jMax |
531 |
DO i=iMin,iMax |
532 |
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)+mTFacV*mT(i,j) |
533 |
ENDDO |
534 |
ENDDO |
535 |
ENDIF |
536 |
IF (usingSphericalPolarMTerms) THEN |
537 |
CALL MOM_V_METRIC_SPHERE(bi,bj,k,uFld,mT,myThid) |
538 |
DO j=jMin,jMax |
539 |
DO i=iMin,iMax |
540 |
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)+mTFacV*mT(i,j) |
541 |
ENDDO |
542 |
ENDDO |
543 |
ENDIF |
544 |
|
545 |
C-- Set dv/dt on boundaries to zero |
546 |
DO j=jMin,jMax |
547 |
DO i=iMin,iMax |
548 |
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)*_maskS(i,j,k,bi,bj) |
549 |
ENDDO |
550 |
ENDDO |
551 |
|
552 |
C-- Coriolis term |
553 |
C Note. As coded here, coriolis will not work with "thin walls" |
554 |
#ifdef INCLUDE_CD_CODE |
555 |
CALL MOM_CDSCHEME(bi,bj,k,phi_hyd,myThid) |
556 |
#else |
557 |
CALL MOM_U_CORIOLIS(bi,bj,k,vFld,cf,myThid) |
558 |
DO j=jMin,jMax |
559 |
DO i=iMin,iMax |
560 |
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+fuFac*cf(i,j) |
561 |
ENDDO |
562 |
ENDDO |
563 |
CALL MOM_V_CORIOLIS(bi,bj,k,uFld,cf,myThid) |
564 |
DO j=jMin,jMax |
565 |
DO i=iMin,iMax |
566 |
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)+fvFac*cf(i,j) |
567 |
ENDDO |
568 |
ENDDO |
569 |
#endif /* INCLUDE_CD_CODE */ |
570 |
IF (nonHydrostatic) THEN |
571 |
CALL MOM_U_CORIOLIS_NH(bi,bj,k,wVel,cf,myThid) |
572 |
DO j=jMin,jMax |
573 |
DO i=iMin,iMax |
574 |
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+fuFac*cf(i,j) |
575 |
ENDDO |
576 |
ENDDO |
577 |
ENDIF |
578 |
|
579 |
RETURN |
580 |
END |