1 |
C $Header: /u/gcmpack/MITgcm/pkg/kpp/kpp_routines.F,v 1.47 2009/11/21 01:27:07 dimitri Exp $ |
2 |
C $Name: $ |
3 |
|
4 |
#include "PACKAGES_CONFIG.h" |
5 |
#include "KPP_OPTIONS.h" |
6 |
|
7 |
C-- File kpp_routines.F: subroutines needed to implement |
8 |
C-- KPP vertical mixing scheme |
9 |
C-- Contents |
10 |
C-- o KPPMIX - Main driver and interface routine. |
11 |
C-- o BLDEPTH - Determine oceanic planetary boundary layer depth. |
12 |
C-- o WSCALE - Compute turbulent velocity scales. |
13 |
C-- o RI_IWMIX - Compute interior viscosity diffusivity coefficients. |
14 |
C-- o Z121 - Apply 121 vertical smoothing. |
15 |
C-- o SMOOTH_HORIZ- Apply horizontal smoothing to global array. |
16 |
C-- o BLMIX - Boundary layer mixing coefficients. |
17 |
C-- o ENHANCE - Enhance diffusivity at boundary layer interface. |
18 |
C-- o STATEKPP - Compute buoyancy-related input arrays. |
19 |
C-- o KPP_DOUBLEDIFF - Compute double diffusive contribution to diffusivities |
20 |
|
21 |
c*********************************************************************** |
22 |
|
23 |
SUBROUTINE KPPMIX ( |
24 |
I kmtj, shsq, dvsq, ustar, msk |
25 |
I , bo, bosol |
26 |
#ifdef ALLOW_SALT_PLUME |
27 |
I , boplume,SPDepth |
28 |
#endif /* ALLOW_SALT_PLUME */ |
29 |
I , dbloc, Ritop, coriol |
30 |
I , diffusKzS, diffusKzT |
31 |
I , ikppkey |
32 |
O , diffus |
33 |
U , ghat |
34 |
O , hbl |
35 |
I , bi, bj, myTime, myIter, myThid ) |
36 |
|
37 |
c----------------------------------------------------------------------- |
38 |
c |
39 |
c Main driver subroutine for kpp vertical mixing scheme and |
40 |
c interface to greater ocean model |
41 |
c |
42 |
c written by: bill large, june 6, 1994 |
43 |
c modified by: jan morzel, june 30, 1994 |
44 |
c bill large, august 11, 1994 |
45 |
c bill large, january 25, 1995 : "dVsq" and 1d code |
46 |
c detlef stammer, august 1997 : for use with MIT GCM Classic |
47 |
c d. menemenlis, june 1998 : for use with MIT GCM UV |
48 |
c |
49 |
c----------------------------------------------------------------------- |
50 |
|
51 |
IMPLICIT NONE |
52 |
|
53 |
#include "SIZE.h" |
54 |
#include "EEPARAMS.h" |
55 |
#include "PARAMS.h" |
56 |
#include "KPP_PARAMS.h" |
57 |
#ifdef ALLOW_AUTODIFF |
58 |
# include "tamc.h" |
59 |
#endif |
60 |
|
61 |
c input |
62 |
c bi, bj :: Array indices on which to apply calculations |
63 |
c myTime :: Current time in simulation |
64 |
c myIter :: Current iteration number in simulation |
65 |
c myThid :: My Thread Id. number |
66 |
c kmtj (imt) - number of vertical layers on this row |
67 |
c msk (imt) - surface mask (=1 if water, =0 otherwise) |
68 |
c shsq (imt,Nr) - (local velocity shear)^2 ((m/s)^2) |
69 |
c dvsq (imt,Nr) - (velocity shear re sfc)^2 ((m/s)^2) |
70 |
c ustar (imt) - surface friction velocity (m/s) |
71 |
c bo (imt) - surface turbulent buoy. forcing (m^2/s^3) |
72 |
c bosol (imt) - radiative buoyancy forcing (m^2/s^3) |
73 |
c boplume(imt) - haline buoyancy forcing (m^2/s^3) |
74 |
c dbloc (imt,Nr) - local delta buoyancy across interfaces (m/s^2) |
75 |
c dblocSm(imt,Nr) - horizontally smoothed dbloc (m/s^2) |
76 |
c stored in ghat to save space |
77 |
c Ritop (imt,Nr) - numerator of bulk Richardson Number |
78 |
c (zref-z) * delta buoyancy w.r.t. surface ((m/s)^2) |
79 |
c coriol (imt) - Coriolis parameter (1/s) |
80 |
c diffusKzS(imt,Nr)- background vertical diffusivity for scalars (m^2/s) |
81 |
c diffusKzT(imt,Nr)- background vertical diffusivity for theta (m^2/s) |
82 |
c note: there is a conversion from 2-D to 1-D for input output variables, |
83 |
c e.g., hbl(sNx,sNy) -> hbl(imt), |
84 |
c where hbl(i,j) -> hbl((j-1)*sNx+i) |
85 |
INTEGER bi, bj |
86 |
_RL myTime |
87 |
integer myIter |
88 |
integer myThid |
89 |
integer kmtj (imt ) |
90 |
_RL shsq (imt,Nr) |
91 |
_RL dvsq (imt,Nr) |
92 |
_RL ustar (imt ) |
93 |
_RL bo (imt ) |
94 |
_RL bosol (imt ) |
95 |
#ifdef ALLOW_SALT_PLUME |
96 |
_RL boplume (imt ) |
97 |
_RL SPDepth (imt ) |
98 |
#endif /* ALLOW_SALT_PLUME */ |
99 |
_RL dbloc (imt,Nr) |
100 |
_RL Ritop (imt,Nr) |
101 |
_RL coriol (imt ) |
102 |
_RS msk (imt ) |
103 |
_RL diffusKzS(imt,Nr) |
104 |
_RL diffusKzT(imt,Nr) |
105 |
|
106 |
integer ikppkey |
107 |
|
108 |
c output |
109 |
c diffus (imt,1) - vertical viscosity coefficient (m^2/s) |
110 |
c diffus (imt,2) - vertical scalar diffusivity (m^2/s) |
111 |
c diffus (imt,3) - vertical temperature diffusivity (m^2/s) |
112 |
c ghat (imt) - nonlocal transport coefficient (s/m^2) |
113 |
c hbl (imt) - mixing layer depth (m) |
114 |
|
115 |
_RL diffus(imt,0:Nrp1,mdiff) |
116 |
_RL ghat (imt,Nr) |
117 |
_RL hbl (imt) |
118 |
|
119 |
#ifdef ALLOW_KPP |
120 |
|
121 |
c local |
122 |
c kbl (imt ) - index of first grid level below hbl |
123 |
c bfsfc (imt ) - surface buoyancy forcing (m^2/s^3) |
124 |
c casea (imt ) - 1 in case A; 0 in case B |
125 |
c stable (imt ) - 1 in stable forcing; 0 if unstable |
126 |
c dkm1 (imt, mdiff) - boundary layer diffusivity at kbl-1 level |
127 |
c blmc (imt,Nr,mdiff) - boundary layer mixing coefficients |
128 |
c sigma (imt ) - normalized depth (d / hbl) |
129 |
c Rib (imt,Nr ) - bulk Richardson number |
130 |
|
131 |
integer kbl(imt ) |
132 |
_RL bfsfc (imt ) |
133 |
_RL casea (imt ) |
134 |
_RL stable (imt ) |
135 |
_RL dkm1 (imt, mdiff) |
136 |
_RL blmc (imt,Nr,mdiff) |
137 |
_RL sigma (imt ) |
138 |
_RL Rib (imt,Nr ) |
139 |
|
140 |
integer i, k, md |
141 |
|
142 |
c----------------------------------------------------------------------- |
143 |
c compute interior mixing coefficients everywhere, due to constant |
144 |
c internal wave activity, static instability, and local shear |
145 |
c instability. |
146 |
c (ghat is temporary storage for horizontally smoothed dbloc) |
147 |
c----------------------------------------------------------------------- |
148 |
|
149 |
cph( |
150 |
cph these storings avoid recomp. of Ri_iwmix |
151 |
CADJ STORE ghat = comlev1_kpp, key=ikppkey, kind=isbyte |
152 |
CADJ STORE dbloc = comlev1_kpp, key=ikppkey, kind=isbyte |
153 |
cph) |
154 |
call Ri_iwmix ( |
155 |
I kmtj, shsq, dbloc, ghat |
156 |
I , diffusKzS, diffusKzT |
157 |
I , ikppkey |
158 |
O , diffus, myThid ) |
159 |
|
160 |
cph( |
161 |
cph these storings avoid recomp. of Ri_iwmix |
162 |
cph DESPITE TAFs 'not necessary' warning! |
163 |
CADJ STORE dbloc = comlev1_kpp, key=ikppkey, kind=isbyte |
164 |
CADJ STORE shsq = comlev1_kpp, key=ikppkey, kind=isbyte |
165 |
CADJ STORE ghat = comlev1_kpp, key=ikppkey, kind=isbyte |
166 |
CADJ STORE diffus = comlev1_kpp, key=ikppkey, kind=isbyte |
167 |
cph) |
168 |
|
169 |
c----------------------------------------------------------------------- |
170 |
c set seafloor values to zero and fill extra "Nrp1" coefficients |
171 |
c for blmix |
172 |
c----------------------------------------------------------------------- |
173 |
|
174 |
do md = 1, mdiff |
175 |
do k=1,Nrp1 |
176 |
do i = 1,imt |
177 |
if(k.ge.kmtj(i)) diffus(i,k,md) = 0.0 |
178 |
end do |
179 |
end do |
180 |
end do |
181 |
|
182 |
c----------------------------------------------------------------------- |
183 |
c compute boundary layer mixing coefficients: |
184 |
c |
185 |
c diagnose the new boundary layer depth |
186 |
c----------------------------------------------------------------------- |
187 |
|
188 |
call bldepth ( |
189 |
I kmtj |
190 |
I , dvsq, dbloc, Ritop, ustar, bo, bosol |
191 |
#ifdef ALLOW_SALT_PLUME |
192 |
I , boplume,SPDepth |
193 |
#endif /* ALLOW_SALT_PLUME */ |
194 |
I , coriol |
195 |
I , ikppkey |
196 |
O , hbl, bfsfc, stable, casea, kbl, Rib, sigma |
197 |
I , bi, bj, myTime, myIter, myThid ) |
198 |
|
199 |
CADJ STORE hbl,bfsfc,stable,casea,kbl = comlev1_kpp, |
200 |
CADJ & key=ikppkey, kind=isbyte |
201 |
|
202 |
c----------------------------------------------------------------------- |
203 |
c compute boundary layer diffusivities |
204 |
c----------------------------------------------------------------------- |
205 |
|
206 |
call blmix ( |
207 |
I ustar, bfsfc, hbl, stable, casea, diffus, kbl |
208 |
O , dkm1, blmc, ghat, sigma, ikppkey |
209 |
I , myThid ) |
210 |
cph( |
211 |
CADJ STORE dkm1,blmc,ghat = comlev1_kpp, |
212 |
CADJ & key=ikppkey, kind=isbyte |
213 |
CADJ STORE hbl, kbl, diffus, casea = comlev1_kpp, |
214 |
CADJ & key=ikppkey, kind=isbyte |
215 |
cph) |
216 |
|
217 |
c----------------------------------------------------------------------- |
218 |
c enhance diffusivity at interface kbl - 1 |
219 |
c----------------------------------------------------------------------- |
220 |
|
221 |
call enhance ( |
222 |
I dkm1, hbl, kbl, diffus, casea |
223 |
U , ghat |
224 |
O , blmc |
225 |
I , myThid ) |
226 |
|
227 |
cph( |
228 |
cph avoids recomp. of enhance |
229 |
CADJ STORE blmc = comlev1_kpp, key=ikppkey, kind=isbyte |
230 |
cph) |
231 |
|
232 |
c----------------------------------------------------------------------- |
233 |
c combine interior and boundary layer coefficients and nonlocal term |
234 |
c !!!NOTE!!! In shallow (2-level) regions and for shallow mixed layers |
235 |
c (< 1 level), diffusivity blmc can become negative. The max-s below |
236 |
c are a hack until this problem is properly diagnosed and fixed. |
237 |
c----------------------------------------------------------------------- |
238 |
do k = 1, Nr |
239 |
do i = 1, imt |
240 |
if (k .lt. kbl(i)) then |
241 |
#ifdef ALLOW_SHELFICE |
242 |
C when there is shelfice on top (msk(i)=0), reset the boundary layer |
243 |
C mixing coefficients blmc to pure Ri-number based mixing |
244 |
blmc(i,k,1) = max ( blmc(i,k,1)*msk(i), |
245 |
& diffus(i,k,1) ) |
246 |
blmc(i,k,2) = max ( blmc(i,k,2)*msk(i), |
247 |
& diffus(i,k,2) ) |
248 |
blmc(i,k,3) = max ( blmc(i,k,3)*msk(i), |
249 |
& diffus(i,k,3) ) |
250 |
#endif /* not ALLOW_SHELFICE */ |
251 |
diffus(i,k,1) = max ( blmc(i,k,1), viscArNr(1) ) |
252 |
diffus(i,k,2) = max ( blmc(i,k,2), diffusKzS(i,Nr) ) |
253 |
diffus(i,k,3) = max ( blmc(i,k,3), diffusKzT(i,Nr) ) |
254 |
else |
255 |
ghat(i,k) = 0. _d 0 |
256 |
endif |
257 |
end do |
258 |
end do |
259 |
|
260 |
#endif /* ALLOW_KPP */ |
261 |
|
262 |
return |
263 |
end |
264 |
|
265 |
c************************************************************************* |
266 |
|
267 |
subroutine bldepth ( |
268 |
I kmtj |
269 |
I , dvsq, dbloc, Ritop, ustar, bo, bosol |
270 |
#ifdef ALLOW_SALT_PLUME |
271 |
I , boplume,SPDepth |
272 |
#endif /* ALLOW_SALT_PLUME */ |
273 |
I , coriol |
274 |
I , ikppkey |
275 |
O , hbl, bfsfc, stable, casea, kbl, Rib, sigma |
276 |
I , bi, bj, myTime, myIter, myThid ) |
277 |
|
278 |
c the oceanic planetary boundary layer depth, hbl, is determined as |
279 |
c the shallowest depth where the bulk Richardson number is |
280 |
c equal to the critical value, Ricr. |
281 |
c |
282 |
c bulk Richardson numbers are evaluated by computing velocity and |
283 |
c buoyancy differences between values at zgrid(kl) < 0 and surface |
284 |
c reference values. |
285 |
c in this configuration, the reference values are equal to the |
286 |
c values in the surface layer. |
287 |
c when using a very fine vertical grid, these values should be |
288 |
c computed as the vertical average of velocity and buoyancy from |
289 |
c the surface down to epsilon*zgrid(kl). |
290 |
c |
291 |
c when the bulk Richardson number at k exceeds Ricr, hbl is |
292 |
c linearly interpolated between grid levels zgrid(k) and zgrid(k-1). |
293 |
c |
294 |
c The water column and the surface forcing are diagnosed for |
295 |
c stable/ustable forcing conditions, and where hbl is relative |
296 |
c to grid points (caseA), so that conditional branches can be |
297 |
c avoided in later subroutines. |
298 |
c |
299 |
IMPLICIT NONE |
300 |
|
301 |
#include "SIZE.h" |
302 |
#include "EEPARAMS.h" |
303 |
#include "PARAMS.h" |
304 |
#include "KPP_PARAMS.h" |
305 |
#ifdef ALLOW_AUTODIFF |
306 |
# include "tamc.h" |
307 |
#endif |
308 |
|
309 |
c input |
310 |
c------ |
311 |
c bi, bj :: Array indices on which to apply calculations |
312 |
c myTime :: Current time in simulation |
313 |
c myIter :: Current iteration number in simulation |
314 |
c myThid :: My Thread Id. number |
315 |
c kmtj : number of vertical layers |
316 |
c dvsq : (velocity shear re sfc)^2 ((m/s)^2) |
317 |
c dbloc : local delta buoyancy across interfaces (m/s^2) |
318 |
c Ritop : numerator of bulk Richardson Number |
319 |
c =(z-zref)*dbsfc, where dbsfc=delta |
320 |
c buoyancy with respect to surface ((m/s)^2) |
321 |
c ustar : surface friction velocity (m/s) |
322 |
c bo : surface turbulent buoyancy forcing (m^2/s^3) |
323 |
c bosol : radiative buoyancy forcing (m^2/s^3) |
324 |
c boplume : haline buoyancy forcing (m^2/s^3) |
325 |
c coriol : Coriolis parameter (1/s) |
326 |
INTEGER bi, bj |
327 |
_RL myTime |
328 |
integer myIter |
329 |
integer myThid |
330 |
integer kmtj(imt) |
331 |
_RL dvsq (imt,Nr) |
332 |
_RL dbloc (imt,Nr) |
333 |
_RL Ritop (imt,Nr) |
334 |
_RL ustar (imt) |
335 |
_RL bo (imt) |
336 |
_RL bosol (imt) |
337 |
_RL coriol (imt) |
338 |
integer ikppkey |
339 |
#ifdef ALLOW_SALT_PLUME |
340 |
_RL boplume (imt) |
341 |
_RL SPDepth (imt) |
342 |
#endif /* ALLOW_SALT_PLUME */ |
343 |
|
344 |
c output |
345 |
c-------- |
346 |
c hbl : boundary layer depth (m) |
347 |
c bfsfc : Bo+radiation absorbed to d=hbf*hbl (m^2/s^3) |
348 |
c stable : =1 in stable forcing; =0 unstable |
349 |
c casea : =1 in case A, =0 in case B |
350 |
c kbl : -1 of first grid level below hbl |
351 |
c Rib : Bulk Richardson number |
352 |
c sigma : normalized depth (d/hbl) |
353 |
_RL hbl (imt) |
354 |
_RL bfsfc (imt) |
355 |
_RL stable (imt) |
356 |
_RL casea (imt) |
357 |
integer kbl(imt) |
358 |
_RL Rib (imt,Nr) |
359 |
_RL sigma (imt) |
360 |
|
361 |
#ifdef ALLOW_KPP |
362 |
|
363 |
c local |
364 |
c------- |
365 |
c wm, ws : turbulent velocity scales (m/s) |
366 |
_RL wm(imt), ws(imt) |
367 |
_RL worka(imt) |
368 |
_RL bvsq, vtsq, hekman, hmonob, hlimit, tempVar1, tempVar2 |
369 |
integer i, kl |
370 |
|
371 |
_RL p5 , eins |
372 |
parameter ( p5=0.5, eins=1.0 ) |
373 |
_RL minusone |
374 |
parameter ( minusone=-1.0 ) |
375 |
#ifdef ALLOW_AUTODIFF_TAMC |
376 |
integer kkppkey |
377 |
#endif |
378 |
|
379 |
#ifdef ALLOW_DIAGNOSTICS |
380 |
c KPPBFSFC - Bo+radiation absorbed to d=hbf*hbl + plume (m^2/s^3) |
381 |
_RL KPPBFSFC(imt,Nr) |
382 |
_RL KPPRi(imt,Nr) |
383 |
#endif /* ALLOW_DIAGNOSTICS */ |
384 |
|
385 |
c find bulk Richardson number at every grid level until > Ricr |
386 |
c |
387 |
c note: the reference depth is -epsilon/2.*zgrid(k), but the reference |
388 |
c u,v,t,s values are simply the surface layer values, |
389 |
c and not the averaged values from 0 to 2*ref.depth, |
390 |
c which is necessary for very fine grids(top layer < 2m thickness) |
391 |
c note: max values when Ricr never satisfied are |
392 |
c kbl(i)=kmtj(i) and hbl(i)=-zgrid(kmtj(i)) |
393 |
|
394 |
c initialize hbl and kbl to bottomed out values |
395 |
|
396 |
do i = 1, imt |
397 |
Rib(i,1) = 0. _d 0 |
398 |
kbl(i) = max(kmtj(i),1) |
399 |
hbl(i) = -zgrid(kbl(i)) |
400 |
end do |
401 |
|
402 |
#ifdef ALLOW_DIAGNOSTICS |
403 |
do kl = 1, Nr |
404 |
do i = 1, imt |
405 |
KPPBFSFC(i,kl) = 0. _d 0 |
406 |
KPPRi(i,kl) = 0. _d 0 |
407 |
enddo |
408 |
enddo |
409 |
#endif /* ALLOW_DIAGNOSTICS */ |
410 |
|
411 |
do kl = 2, Nr |
412 |
|
413 |
#ifdef ALLOW_AUTODIFF_TAMC |
414 |
kkppkey = (ikppkey-1)*Nr + kl |
415 |
#endif |
416 |
|
417 |
c compute bfsfc = sw fraction at hbf * zgrid |
418 |
|
419 |
do i = 1, imt |
420 |
worka(i) = zgrid(kl) |
421 |
end do |
422 |
CADJ store worka = comlev1_kpp_k, key = kkppkey, kind=isbyte |
423 |
call SWFRAC( |
424 |
I imt, hbf, |
425 |
U worka, |
426 |
I myTime, myIter, myThid ) |
427 |
CADJ store worka = comlev1_kpp_k, key = kkppkey, kind=isbyte |
428 |
|
429 |
do i = 1, imt |
430 |
|
431 |
c use caseA as temporary array |
432 |
|
433 |
casea(i) = -zgrid(kl) |
434 |
|
435 |
c compute bfsfc= Bo + radiative contribution down to hbf * hbl |
436 |
|
437 |
bfsfc(i) = bo(i) + bosol(i)*(1. - worka(i)) |
438 |
|
439 |
end do |
440 |
#ifdef ALLOW_SALT_PLUME |
441 |
c compute bfsfc = plume fraction at hbf * zgrid |
442 |
IF ( useSALT_PLUME ) THEN |
443 |
do i = 1, imt |
444 |
worka(i) = zgrid(kl) |
445 |
enddo |
446 |
call SALT_PLUME_FRAC( |
447 |
I imt, hbf,SPDepth, |
448 |
U worka, |
449 |
I myTime, myIter, myThid) |
450 |
do i = 1, imt |
451 |
bfsfc(i) = bfsfc(i) + boplume(i)*(1. - worka(i)) |
452 |
enddo |
453 |
ENDIF |
454 |
#endif /* ALLOW_SALT_PLUME */ |
455 |
|
456 |
#ifdef ALLOW_DIAGNOSTICS |
457 |
do i = 1, imt |
458 |
KPPBFSFC(i,kl) = bfsfc(i) |
459 |
enddo |
460 |
#endif /* ALLOW_DIAGNOSTICS */ |
461 |
|
462 |
do i = 1, imt |
463 |
stable(i) = p5 + sign(p5,bfsfc(i)) |
464 |
sigma(i) = stable(i) + (1. - stable(i)) * epsilon |
465 |
enddo |
466 |
|
467 |
c----------------------------------------------------------------------- |
468 |
c compute velocity scales at sigma, for hbl= caseA = -zgrid(kl) |
469 |
c----------------------------------------------------------------------- |
470 |
|
471 |
call wscale ( |
472 |
I sigma, casea, ustar, bfsfc, |
473 |
O wm, ws, myThid ) |
474 |
CADJ store ws = comlev1_kpp_k, key = kkppkey, kind=isbyte |
475 |
|
476 |
do i = 1, imt |
477 |
|
478 |
c----------------------------------------------------------------------- |
479 |
c compute the turbulent shear contribution to Rib |
480 |
c----------------------------------------------------------------------- |
481 |
|
482 |
bvsq = p5 * |
483 |
1 ( dbloc(i,kl-1) / (zgrid(kl-1)-zgrid(kl ))+ |
484 |
2 dbloc(i,kl ) / (zgrid(kl )-zgrid(kl+1))) |
485 |
|
486 |
if (bvsq .eq. 0. _d 0) then |
487 |
vtsq = 0. _d 0 |
488 |
else |
489 |
vtsq = -zgrid(kl) * ws(i) * sqrt(abs(bvsq)) * Vtc |
490 |
endif |
491 |
|
492 |
c compute bulk Richardson number at new level |
493 |
c note: Ritop needs to be zero on land and ocean bottom |
494 |
c points so that the following if statement gets triggered |
495 |
c correctly; otherwise, hbl might get set to (big) negative |
496 |
c values, that might exceed the limit for the "exp" function |
497 |
c in "SWFRAC" |
498 |
|
499 |
c |
500 |
c rg: assignment to double precision variable to avoid overflow |
501 |
c ph: test for zero nominator |
502 |
c |
503 |
|
504 |
tempVar1 = dvsq(i,kl) + vtsq |
505 |
tempVar2 = max(tempVar1, phepsi) |
506 |
Rib(i,kl) = Ritop(i,kl) / tempVar2 |
507 |
#ifdef ALLOW_DIAGNOSTICS |
508 |
KPPRi(i,kl) = Rib(i,kl) |
509 |
#endif |
510 |
|
511 |
end do |
512 |
end do |
513 |
|
514 |
#ifdef ALLOW_DIAGNOSTICS |
515 |
CALL DIAGNOSTICS_FILL(KPPBFSFC,'KPPbfsfc',0,Nr,2,bi,bj,myThid) |
516 |
CALL DIAGNOSTICS_FILL(KPPRi ,'KPPRi ',0,Nr,2,bi,bj,myThid) |
517 |
#endif /* ALLOW_DIAGNOSTICS */ |
518 |
|
519 |
cph( |
520 |
cph without this store, there is a recomputation error for |
521 |
cph rib in adbldepth (probably partial recomputation problem) |
522 |
CADJ store Rib = comlev1_kpp |
523 |
CADJ & , key=ikppkey, kind=isbyte, |
524 |
CADJ & shape = (/ (sNx+2*OLx)*(sNy+2*OLy),Nr /) |
525 |
cph) |
526 |
|
527 |
do kl = 2, Nr |
528 |
do i = 1, imt |
529 |
if (kbl(i).eq.kmtj(i) .and. Rib(i,kl).gt.Ricr) kbl(i) = kl |
530 |
end do |
531 |
end do |
532 |
|
533 |
CADJ store kbl = comlev1_kpp |
534 |
CADJ & , key=ikppkey, kind=isbyte, |
535 |
CADJ & shape = (/ (sNx+2*OLx)*(sNy+2*OLy) /) |
536 |
|
537 |
do i = 1, imt |
538 |
kl = kbl(i) |
539 |
c linearly interpolate to find hbl where Rib = Ricr |
540 |
if (kl.gt.1 .and. kl.lt.kmtj(i)) then |
541 |
tempVar1 = (Rib(i,kl)-Rib(i,kl-1)) |
542 |
hbl(i) = -zgrid(kl-1) + (zgrid(kl-1)-zgrid(kl)) * |
543 |
1 (Ricr - Rib(i,kl-1)) / tempVar1 |
544 |
endif |
545 |
end do |
546 |
|
547 |
CADJ store hbl = comlev1_kpp |
548 |
CADJ & , key=ikppkey, kind=isbyte, |
549 |
CADJ & shape = (/ (sNx+2*OLx)*(sNy+2*OLy) /) |
550 |
|
551 |
c----------------------------------------------------------------------- |
552 |
c find stability and buoyancy forcing for boundary layer |
553 |
c----------------------------------------------------------------------- |
554 |
|
555 |
do i = 1, imt |
556 |
worka(i) = hbl(i) |
557 |
end do |
558 |
CADJ store worka = comlev1_kpp |
559 |
CADJ & , key=ikppkey, kind=isbyte, |
560 |
CADJ & shape = (/ (sNx+2*OLx)*(sNy+2*OLy) /) |
561 |
call SWFRAC( |
562 |
I imt, minusone, |
563 |
U worka, |
564 |
I myTime, myIter, myThid ) |
565 |
CADJ store worka = comlev1_kpp |
566 |
CADJ & , key=ikppkey, kind=isbyte, |
567 |
CADJ & shape = (/ (sNx+2*OLx)*(sNy+2*OLy) /) |
568 |
|
569 |
do i = 1, imt |
570 |
bfsfc(i) = bo(i) + bosol(i) * (1. - worka(i)) |
571 |
end do |
572 |
|
573 |
#ifdef ALLOW_SALT_PLUME |
574 |
IF ( useSALT_PLUME ) THEN |
575 |
do i = 1, imt |
576 |
worka(i) = hbl(i) |
577 |
enddo |
578 |
call SALT_PLUME_FRAC( |
579 |
I imt,minusone,SPDepth, |
580 |
U worka, |
581 |
I myTime, myIter, myThid ) |
582 |
do i = 1, imt |
583 |
bfsfc(i) = bfsfc(i) + boplume(i) * (1. - worka(i)) |
584 |
enddo |
585 |
ENDIF |
586 |
#endif /* ALLOW_SALT_PLUME */ |
587 |
CADJ store bfsfc = comlev1_kpp |
588 |
CADJ & , key=ikppkey, kind=isbyte, |
589 |
CADJ & shape = (/ (sNx+2*OLx)*(sNy+2*OLy) /) |
590 |
|
591 |
c-- ensure bfsfc is never 0 |
592 |
do i = 1, imt |
593 |
stable(i) = p5 + sign( p5, bfsfc(i) ) |
594 |
bfsfc(i) = sign(eins,bfsfc(i))*max(phepsi,abs(bfsfc(i))) |
595 |
end do |
596 |
|
597 |
cph( |
598 |
cph added stable to store list to avoid extensive recomp. |
599 |
CADJ store bfsfc, stable = comlev1_kpp |
600 |
CADJ & , key=ikppkey, kind=isbyte, |
601 |
CADJ & shape = (/ (sNx+2*OLx)*(sNy+2*OLy) /) |
602 |
cph) |
603 |
|
604 |
c----------------------------------------------------------------------- |
605 |
c check hbl limits for hekman or hmonob |
606 |
c ph: test for zero nominator |
607 |
c----------------------------------------------------------------------- |
608 |
|
609 |
IF ( LimitHblStable ) THEN |
610 |
do i = 1, imt |
611 |
if (bfsfc(i) .gt. 0.0) then |
612 |
hekman = cekman * ustar(i) / max(abs(Coriol(i)),phepsi) |
613 |
hmonob = cmonob * ustar(i)*ustar(i)*ustar(i) |
614 |
& / vonk / bfsfc(i) |
615 |
hlimit = stable(i) * min(hekman,hmonob) |
616 |
& + (stable(i)-1.) * zgrid(Nr) |
617 |
hbl(i) = min(hbl(i),hlimit) |
618 |
end if |
619 |
end do |
620 |
ENDIF |
621 |
|
622 |
CADJ store hbl = comlev1_kpp |
623 |
CADJ & , key=ikppkey, kind=isbyte, |
624 |
CADJ & shape = (/ (sNx+2*OLx)*(sNy+2*OLy) /) |
625 |
|
626 |
do i = 1, imt |
627 |
hbl(i) = max(hbl(i),minKPPhbl) |
628 |
kbl(i) = kmtj(i) |
629 |
end do |
630 |
|
631 |
CADJ store hbl = comlev1_kpp |
632 |
CADJ & , key=ikppkey, kind=isbyte, |
633 |
CADJ & shape = (/ (sNx+2*OLx)*(sNy+2*OLy) /) |
634 |
|
635 |
c----------------------------------------------------------------------- |
636 |
c find new kbl |
637 |
c----------------------------------------------------------------------- |
638 |
|
639 |
do kl = 2, Nr |
640 |
do i = 1, imt |
641 |
if ( kbl(i).eq.kmtj(i) .and. (-zgrid(kl)).gt.hbl(i) ) then |
642 |
kbl(i) = kl |
643 |
endif |
644 |
end do |
645 |
end do |
646 |
|
647 |
c----------------------------------------------------------------------- |
648 |
c find stability and buoyancy forcing for final hbl values |
649 |
c----------------------------------------------------------------------- |
650 |
|
651 |
do i = 1, imt |
652 |
worka(i) = hbl(i) |
653 |
end do |
654 |
CADJ store worka = comlev1_kpp |
655 |
CADJ & , key=ikppkey, kind=isbyte, |
656 |
CADJ & shape = (/ (sNx+2*OLx)*(sNy+2*OLy) /) |
657 |
call SWFRAC( |
658 |
I imt, minusone, |
659 |
U worka, |
660 |
I myTime, myIter, myThid ) |
661 |
CADJ store worka = comlev1_kpp |
662 |
CADJ & , key=ikppkey, kind=isbyte, |
663 |
CADJ & shape = (/ (sNx+2*OLx)*(sNy+2*OLy) /) |
664 |
|
665 |
do i = 1, imt |
666 |
bfsfc(i) = bo(i) + bosol(i) * (1. - worka(i)) |
667 |
end do |
668 |
|
669 |
#ifdef ALLOW_SALT_PLUME |
670 |
IF ( useSALT_PLUME ) THEN |
671 |
do i = 1, imt |
672 |
worka(i) = hbl(i) |
673 |
enddo |
674 |
call SALT_PLUME_FRAC( |
675 |
I imt,minusone,SPDepth, |
676 |
U worka, |
677 |
I myTime, myIter, myThid ) |
678 |
do i = 1, imt |
679 |
bfsfc(i) = bfsfc(i) + boplume(i) * (1. - worka(i)) |
680 |
enddo |
681 |
ENDIF |
682 |
#endif /* ALLOW_SALT_PLUME */ |
683 |
CADJ store bfsfc = comlev1_kpp |
684 |
CADJ & , key=ikppkey, kind=isbyte, |
685 |
CADJ & shape = (/ (sNx+2*OLx)*(sNy+2*OLy) /) |
686 |
|
687 |
c-- ensures bfsfc is never 0 |
688 |
do i = 1, imt |
689 |
stable(i) = p5 + sign( p5, bfsfc(i) ) |
690 |
bfsfc(i) = sign(eins,bfsfc(i))*max(phepsi,abs(bfsfc(i))) |
691 |
end do |
692 |
|
693 |
c----------------------------------------------------------------------- |
694 |
c determine caseA and caseB |
695 |
c----------------------------------------------------------------------- |
696 |
|
697 |
do i = 1, imt |
698 |
casea(i) = p5 + |
699 |
1 sign(p5, -zgrid(kbl(i)) - p5*hwide(kbl(i)) - hbl(i)) |
700 |
end do |
701 |
|
702 |
#endif /* ALLOW_KPP */ |
703 |
|
704 |
return |
705 |
end |
706 |
|
707 |
c************************************************************************* |
708 |
|
709 |
subroutine wscale ( |
710 |
I sigma, hbl, ustar, bfsfc, |
711 |
O wm, ws, |
712 |
I myThid ) |
713 |
|
714 |
c compute turbulent velocity scales. |
715 |
c use a 2D-lookup table for wm and ws as functions of ustar and |
716 |
c zetahat (=vonk*sigma*hbl*bfsfc). |
717 |
c |
718 |
c note: the lookup table is only used for unstable conditions |
719 |
c (zehat.le.0), in the stable domain wm (=ws) gets computed |
720 |
c directly. |
721 |
c |
722 |
IMPLICIT NONE |
723 |
|
724 |
#include "SIZE.h" |
725 |
#include "KPP_PARAMS.h" |
726 |
|
727 |
c input |
728 |
c------ |
729 |
c sigma : normalized depth (d/hbl) |
730 |
c hbl : boundary layer depth (m) |
731 |
c ustar : surface friction velocity (m/s) |
732 |
c bfsfc : total surface buoyancy flux (m^2/s^3) |
733 |
c myThid : thread number for this instance of the routine |
734 |
integer myThid |
735 |
_RL sigma(imt) |
736 |
_RL hbl (imt) |
737 |
_RL ustar(imt) |
738 |
_RL bfsfc(imt) |
739 |
|
740 |
c output |
741 |
c-------- |
742 |
c wm, ws : turbulent velocity scales at sigma |
743 |
_RL wm(imt), ws(imt) |
744 |
|
745 |
#ifdef ALLOW_KPP |
746 |
|
747 |
c local |
748 |
c------ |
749 |
c zehat : = zeta * ustar**3 |
750 |
_RL zehat |
751 |
|
752 |
integer iz, izp1, ju, i, jup1 |
753 |
_RL udiff, zdiff, zfrac, ufrac, fzfrac, wam |
754 |
_RL wbm, was, wbs, u3, tempVar |
755 |
|
756 |
c----------------------------------------------------------------------- |
757 |
c use lookup table for zehat < zmax only; otherwise use |
758 |
c stable formulae |
759 |
c----------------------------------------------------------------------- |
760 |
|
761 |
do i = 1, imt |
762 |
zehat = vonk*sigma(i)*hbl(i)*bfsfc(i) |
763 |
|
764 |
if (zehat .le. zmax) then |
765 |
|
766 |
zdiff = zehat - zmin |
767 |
iz = int( zdiff / deltaz ) |
768 |
iz = min( iz, nni ) |
769 |
iz = max( iz, 0 ) |
770 |
izp1 = iz + 1 |
771 |
|
772 |
udiff = ustar(i) - umin |
773 |
ju = int( udiff / deltau ) |
774 |
ju = min( ju, nnj ) |
775 |
ju = max( ju, 0 ) |
776 |
jup1 = ju + 1 |
777 |
|
778 |
zfrac = zdiff / deltaz - float(iz) |
779 |
ufrac = udiff / deltau - float(ju) |
780 |
|
781 |
fzfrac= 1. - zfrac |
782 |
wam = fzfrac * wmt(iz,jup1) + zfrac * wmt(izp1,jup1) |
783 |
wbm = fzfrac * wmt(iz,ju ) + zfrac * wmt(izp1,ju ) |
784 |
wm(i) = (1.-ufrac) * wbm + ufrac * wam |
785 |
|
786 |
was = fzfrac * wst(iz,jup1) + zfrac * wst(izp1,jup1) |
787 |
wbs = fzfrac * wst(iz,ju ) + zfrac * wst(izp1,ju ) |
788 |
ws(i) = (1.-ufrac) * wbs + ufrac * was |
789 |
|
790 |
else |
791 |
|
792 |
u3 = ustar(i) * ustar(i) * ustar(i) |
793 |
tempVar = u3 + conc1 * zehat |
794 |
wm(i) = vonk * ustar(i) * u3 / tempVar |
795 |
ws(i) = wm(i) |
796 |
|
797 |
endif |
798 |
|
799 |
end do |
800 |
|
801 |
#endif /* ALLOW_KPP */ |
802 |
|
803 |
return |
804 |
end |
805 |
|
806 |
c************************************************************************* |
807 |
|
808 |
subroutine Ri_iwmix ( |
809 |
I kmtj, shsq, dbloc, dblocSm, |
810 |
I diffusKzS, diffusKzT, |
811 |
I ikppkey, |
812 |
O diffus, |
813 |
I myThid ) |
814 |
|
815 |
c compute interior viscosity diffusivity coefficients due |
816 |
c to shear instability (dependent on a local Richardson number), |
817 |
c to background internal wave activity, and |
818 |
c to static instability (local Richardson number < 0). |
819 |
|
820 |
IMPLICIT NONE |
821 |
|
822 |
#include "SIZE.h" |
823 |
#include "EEPARAMS.h" |
824 |
#include "PARAMS.h" |
825 |
#include "KPP_PARAMS.h" |
826 |
#ifdef ALLOW_AUTODIFF |
827 |
# include "tamc.h" |
828 |
#endif |
829 |
|
830 |
c input |
831 |
c kmtj (imt) number of vertical layers on this row |
832 |
c shsq (imt,Nr) (local velocity shear)^2 ((m/s)^2) |
833 |
c dbloc (imt,Nr) local delta buoyancy (m/s^2) |
834 |
c dblocSm(imt,Nr) horizontally smoothed dbloc (m/s^2) |
835 |
c diffusKzS(imt,Nr)- background vertical diffusivity for scalars (m^2/s) |
836 |
c diffusKzT(imt,Nr)- background vertical diffusivity for theta (m^2/s) |
837 |
c myThid :: My Thread Id. number |
838 |
integer kmtj (imt) |
839 |
_RL shsq (imt,Nr) |
840 |
_RL dbloc (imt,Nr) |
841 |
_RL dblocSm (imt,Nr) |
842 |
_RL diffusKzS(imt,Nr) |
843 |
_RL diffusKzT(imt,Nr) |
844 |
integer ikppkey |
845 |
integer myThid |
846 |
|
847 |
c output |
848 |
c diffus(imt,0:Nrp1,1) vertical viscosivity coefficient (m^2/s) |
849 |
c diffus(imt,0:Nrp1,2) vertical scalar diffusivity (m^2/s) |
850 |
c diffus(imt,0:Nrp1,3) vertical temperature diffusivity (m^2/s) |
851 |
_RL diffus(imt,0:Nrp1,3) |
852 |
|
853 |
#ifdef ALLOW_KPP |
854 |
|
855 |
c local variables |
856 |
c Rig local Richardson number |
857 |
c fRi, fcon function of Rig |
858 |
_RL Rig |
859 |
_RL fRi, fcon |
860 |
_RL ratio |
861 |
integer i, ki, kp1 |
862 |
_RL c1, c0 |
863 |
|
864 |
#ifdef ALLOW_KPP_VERTICALLY_SMOOTH |
865 |
integer mr |
866 |
CADJ INIT kpp_ri_tape_mr = common, 1 |
867 |
#endif |
868 |
|
869 |
c constants |
870 |
c1 = 1. _d 0 |
871 |
c0 = 0. _d 0 |
872 |
|
873 |
c----------------------------------------------------------------------- |
874 |
c compute interior gradient Ri at all interfaces ki=1,Nr, (not surface) |
875 |
c use diffus(*,*,1) as temporary storage of Ri to be smoothed |
876 |
c use diffus(*,*,2) as temporary storage for Brunt-Vaisala squared |
877 |
c set values at bottom and below to nearest value above bottom |
878 |
#ifdef ALLOW_AUTODIFF_TAMC |
879 |
C break data flow dependence on diffus |
880 |
diffus(1,1,1) = 0.0 |
881 |
|
882 |
do ki = 1, Nr |
883 |
do i = 1, imt |
884 |
diffus(i,ki,1) = 0. |
885 |
diffus(i,ki,2) = 0. |
886 |
diffus(i,ki,3) = 0. |
887 |
enddo |
888 |
enddo |
889 |
#endif |
890 |
|
891 |
|
892 |
do ki = 1, Nr |
893 |
do i = 1, imt |
894 |
if (kmtj(i) .LE. 1 ) then |
895 |
diffus(i,ki,1) = 0. |
896 |
diffus(i,ki,2) = 0. |
897 |
elseif (ki .GE. kmtj(i)) then |
898 |
diffus(i,ki,1) = diffus(i,ki-1,1) |
899 |
diffus(i,ki,2) = diffus(i,ki-1,2) |
900 |
else |
901 |
diffus(i,ki,1) = dblocSm(i,ki) * (zgrid(ki)-zgrid(ki+1)) |
902 |
& / max( Shsq(i,ki), phepsi ) |
903 |
diffus(i,ki,2) = dbloc(i,ki) / (zgrid(ki)-zgrid(ki+1)) |
904 |
endif |
905 |
end do |
906 |
end do |
907 |
CADJ store diffus = comlev1_kpp, key=ikppkey, kind=isbyte |
908 |
|
909 |
c----------------------------------------------------------------------- |
910 |
c vertically smooth Ri |
911 |
#ifdef ALLOW_KPP_VERTICALLY_SMOOTH |
912 |
do mr = 1, num_v_smooth_Ri |
913 |
|
914 |
CADJ store diffus(:,:,1) = kpp_ri_tape_mr |
915 |
CADJ & , key=mr, shape=(/ (sNx+2*OLx)*(sNy+2*OLy),Nr+2 /) |
916 |
|
917 |
call z121 ( |
918 |
U diffus(1,0,1), |
919 |
I myThid ) |
920 |
end do |
921 |
#endif |
922 |
|
923 |
c----------------------------------------------------------------------- |
924 |
c after smoothing loop |
925 |
|
926 |
do ki = 1, Nr |
927 |
do i = 1, imt |
928 |
|
929 |
c evaluate f of Brunt-Vaisala squared for convection, store in fcon |
930 |
|
931 |
Rig = max ( diffus(i,ki,2) , BVSQcon ) |
932 |
ratio = min ( (BVSQcon - Rig) / BVSQcon, c1 ) |
933 |
fcon = c1 - ratio * ratio |
934 |
fcon = fcon * fcon * fcon |
935 |
|
936 |
c evaluate f of smooth Ri for shear instability, store in fRi |
937 |
|
938 |
Rig = max ( diffus(i,ki,1), c0 ) |
939 |
ratio = min ( Rig / Riinfty , c1 ) |
940 |
fRi = c1 - ratio * ratio |
941 |
fRi = fRi * fRi * fRi |
942 |
|
943 |
c ---------------------------------------------------------------------- |
944 |
c evaluate diffusivities and viscosity |
945 |
c mixing due to internal waves, and shear and static instability |
946 |
|
947 |
kp1 = MIN(ki+1,Nr) |
948 |
#ifndef EXCLUDE_KPP_SHEAR_MIX |
949 |
if ( .NOT. inAdMode ) then |
950 |
diffus(i,ki,1) = viscArNr(1) + fcon*difmcon + fRi*difm0 |
951 |
diffus(i,ki,2) = diffusKzS(i,kp1)+fcon*difscon+fRi*difs0 |
952 |
diffus(i,ki,3) = diffusKzT(i,kp1)+fcon*diftcon+fRi*dift0 |
953 |
else |
954 |
diffus(i,ki,1) = viscArnr(1) |
955 |
diffus(i,ki,2) = diffusKzS(i,kp1) |
956 |
diffus(i,ki,3) = diffusKzT(i,kp1) |
957 |
endif |
958 |
#else |
959 |
diffus(i,ki,1) = viscArNr(1) |
960 |
diffus(i,ki,2) = diffusKzS(i,kp1) |
961 |
diffus(i,ki,3) = diffusKzT(i,kp1) |
962 |
#endif |
963 |
|
964 |
end do |
965 |
end do |
966 |
|
967 |
c ------------------------------------------------------------------------ |
968 |
c set surface values to 0.0 |
969 |
|
970 |
do i = 1, imt |
971 |
diffus(i,0,1) = c0 |
972 |
diffus(i,0,2) = c0 |
973 |
diffus(i,0,3) = c0 |
974 |
end do |
975 |
|
976 |
#endif /* ALLOW_KPP */ |
977 |
|
978 |
return |
979 |
end |
980 |
|
981 |
c************************************************************************* |
982 |
|
983 |
subroutine z121 ( |
984 |
U v, |
985 |
I myThid ) |
986 |
|
987 |
c Apply 121 smoothing in k to 2-d array V(i,k=1,Nr) |
988 |
c top (0) value is used as a dummy |
989 |
c bottom (Nrp1) value is set to input value from above. |
990 |
|
991 |
c Note that it is important to exclude from the smoothing any points |
992 |
c that are outside the range of the K(Ri) scheme, ie. >0.8, or <0.0. |
993 |
c Otherwise, there is interference with other physics, especially |
994 |
c penetrative convection. |
995 |
|
996 |
IMPLICIT NONE |
997 |
#include "SIZE.h" |
998 |
#include "KPP_PARAMS.h" |
999 |
|
1000 |
c input/output |
1001 |
c------------- |
1002 |
c v : 2-D array to be smoothed in Nrp1 direction |
1003 |
c myThid: thread number for this instance of the routine |
1004 |
integer myThid |
1005 |
_RL v(imt,0:Nrp1) |
1006 |
|
1007 |
#ifdef ALLOW_KPP |
1008 |
|
1009 |
c local |
1010 |
_RL zwork, zflag |
1011 |
_RL KRi_range(1:Nrp1) |
1012 |
integer i, k, km1, kp1 |
1013 |
|
1014 |
_RL p0 , p25 , p5 , p2 |
1015 |
parameter ( p0 = 0.0, p25 = 0.25, p5 = 0.5, p2 = 2.0 ) |
1016 |
|
1017 |
KRi_range(Nrp1) = p0 |
1018 |
|
1019 |
#ifdef ALLOW_AUTODIFF_TAMC |
1020 |
C-- dummy assignment to end declaration part for TAMC |
1021 |
i = 0 |
1022 |
|
1023 |
C-- HPF directive to help TAMC |
1024 |
CHPF$ INDEPENDENT |
1025 |
CADJ INIT z121tape = common, Nr |
1026 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
1027 |
|
1028 |
do i = 1, imt |
1029 |
|
1030 |
k = 1 |
1031 |
CADJ STORE v(i,k) = z121tape |
1032 |
v(i,Nrp1) = v(i,Nr) |
1033 |
|
1034 |
do k = 1, Nr |
1035 |
KRi_range(k) = p5 + SIGN(p5,v(i,k)) |
1036 |
KRi_range(k) = KRi_range(k) * |
1037 |
& ( p5 + SIGN(p5,(Riinfty-v(i,k))) ) |
1038 |
end do |
1039 |
|
1040 |
zwork = KRi_range(1) * v(i,1) |
1041 |
v(i,1) = p2 * v(i,1) + |
1042 |
& KRi_range(1) * KRi_range(2) * v(i,2) |
1043 |
zflag = p2 + KRi_range(1) * KRi_range(2) |
1044 |
v(i,1) = v(i,1) / zflag |
1045 |
|
1046 |
do k = 2, Nr |
1047 |
CADJ STORE v(i,k), zwork = z121tape |
1048 |
km1 = k - 1 |
1049 |
kp1 = k + 1 |
1050 |
zflag = v(i,k) |
1051 |
v(i,k) = p2 * v(i,k) + |
1052 |
& KRi_range(k) * KRi_range(kp1) * v(i,kp1) + |
1053 |
& KRi_range(k) * zwork |
1054 |
zwork = KRi_range(k) * zflag |
1055 |
zflag = p2 + KRi_range(k)*(KRi_range(kp1)+KRi_range(km1)) |
1056 |
v(i,k) = v(i,k) / zflag |
1057 |
end do |
1058 |
|
1059 |
end do |
1060 |
|
1061 |
#endif /* ALLOW_KPP */ |
1062 |
|
1063 |
return |
1064 |
end |
1065 |
|
1066 |
c************************************************************************* |
1067 |
|
1068 |
subroutine smooth_horiz ( |
1069 |
I k, bi, bj, |
1070 |
U fld, |
1071 |
I myThid ) |
1072 |
|
1073 |
c Apply horizontal smoothing to global _RL 2-D array |
1074 |
|
1075 |
IMPLICIT NONE |
1076 |
#include "SIZE.h" |
1077 |
#include "GRID.h" |
1078 |
#include "KPP_PARAMS.h" |
1079 |
|
1080 |
c input |
1081 |
c bi, bj : array indices |
1082 |
c k : vertical index used for masking |
1083 |
c myThid : thread number for this instance of the routine |
1084 |
INTEGER myThid |
1085 |
integer k, bi, bj |
1086 |
|
1087 |
c input/output |
1088 |
c fld : 2-D array to be smoothed |
1089 |
_RL fld( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy ) |
1090 |
|
1091 |
#ifdef ALLOW_KPP |
1092 |
|
1093 |
c local |
1094 |
integer i, j, im1, ip1, jm1, jp1 |
1095 |
_RL tempVar |
1096 |
_RL fld_tmp( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy ) |
1097 |
|
1098 |
integer imin , imax , jmin , jmax |
1099 |
parameter(imin=2-OLx, imax=sNx+OLx-1, jmin=2-OLy, jmax=sNy+OLy-1) |
1100 |
|
1101 |
_RL p0 , p5 , p25 , p125 , p0625 |
1102 |
parameter( p0=0.0, p5=0.5, p25=0.25, p125=0.125, p0625=0.0625 ) |
1103 |
|
1104 |
DO j = jmin, jmax |
1105 |
jm1 = j-1 |
1106 |
jp1 = j+1 |
1107 |
DO i = imin, imax |
1108 |
im1 = i-1 |
1109 |
ip1 = i+1 |
1110 |
tempVar = |
1111 |
& p25 * maskC(i ,j ,k,bi,bj) + |
1112 |
& p125 * ( maskC(im1,j ,k,bi,bj) + |
1113 |
& maskC(ip1,j ,k,bi,bj) + |
1114 |
& maskC(i ,jm1,k,bi,bj) + |
1115 |
& maskC(i ,jp1,k,bi,bj) ) + |
1116 |
& p0625 * ( maskC(im1,jm1,k,bi,bj) + |
1117 |
& maskC(im1,jp1,k,bi,bj) + |
1118 |
& maskC(ip1,jm1,k,bi,bj) + |
1119 |
& maskC(ip1,jp1,k,bi,bj) ) |
1120 |
IF ( tempVar .GE. p25 ) THEN |
1121 |
fld_tmp(i,j) = ( |
1122 |
& p25 * fld(i ,j )*maskC(i ,j ,k,bi,bj) + |
1123 |
& p125 *(fld(im1,j )*maskC(im1,j ,k,bi,bj) + |
1124 |
& fld(ip1,j )*maskC(ip1,j ,k,bi,bj) + |
1125 |
& fld(i ,jm1)*maskC(i ,jm1,k,bi,bj) + |
1126 |
& fld(i ,jp1)*maskC(i ,jp1,k,bi,bj))+ |
1127 |
& p0625*(fld(im1,jm1)*maskC(im1,jm1,k,bi,bj) + |
1128 |
& fld(im1,jp1)*maskC(im1,jp1,k,bi,bj) + |
1129 |
& fld(ip1,jm1)*maskC(ip1,jm1,k,bi,bj) + |
1130 |
& fld(ip1,jp1)*maskC(ip1,jp1,k,bi,bj))) |
1131 |
& / tempVar |
1132 |
ELSE |
1133 |
fld_tmp(i,j) = fld(i,j) |
1134 |
ENDIF |
1135 |
ENDDO |
1136 |
ENDDO |
1137 |
|
1138 |
c transfer smoothed field to output array |
1139 |
DO j = jmin, jmax |
1140 |
DO i = imin, imax |
1141 |
fld(i,j) = fld_tmp(i,j) |
1142 |
ENDDO |
1143 |
ENDDO |
1144 |
|
1145 |
#endif /* ALLOW_KPP */ |
1146 |
|
1147 |
return |
1148 |
end |
1149 |
|
1150 |
c************************************************************************* |
1151 |
|
1152 |
subroutine blmix ( |
1153 |
I ustar, bfsfc, hbl, stable, casea, diffus, kbl |
1154 |
O , dkm1, blmc, ghat, sigma, ikppkey |
1155 |
I , myThid ) |
1156 |
|
1157 |
c mixing coefficients within boundary layer depend on surface |
1158 |
c forcing and the magnitude and gradient of interior mixing below |
1159 |
c the boundary layer ("matching"). |
1160 |
c |
1161 |
c caution: if mixing bottoms out at hbl = -zgrid(Nr) then |
1162 |
c fictitious layer at Nrp1 is needed with small but finite width |
1163 |
c hwide(Nrp1) (eg. epsln = 1.e-20). |
1164 |
c |
1165 |
IMPLICIT NONE |
1166 |
|
1167 |
#include "SIZE.h" |
1168 |
#include "KPP_PARAMS.h" |
1169 |
#ifdef ALLOW_AUTODIFF |
1170 |
# include "tamc.h" |
1171 |
#endif |
1172 |
|
1173 |
c input |
1174 |
c ustar (imt) surface friction velocity (m/s) |
1175 |
c bfsfc (imt) surface buoyancy forcing (m^2/s^3) |
1176 |
c hbl (imt) boundary layer depth (m) |
1177 |
c stable(imt) = 1 in stable forcing |
1178 |
c casea (imt) = 1 in case A |
1179 |
c diffus(imt,0:Nrp1,mdiff) vertical diffusivities (m^2/s) |
1180 |
c kbl (imt) -1 of first grid level below hbl |
1181 |
c myThid thread number for this instance of the routine |
1182 |
integer myThid |
1183 |
_RL ustar (imt) |
1184 |
_RL bfsfc (imt) |
1185 |
_RL hbl (imt) |
1186 |
_RL stable(imt) |
1187 |
_RL casea (imt) |
1188 |
_RL diffus(imt,0:Nrp1,mdiff) |
1189 |
integer kbl(imt) |
1190 |
|
1191 |
c output |
1192 |
c dkm1 (imt,mdiff) boundary layer difs at kbl-1 level |
1193 |
c blmc (imt,Nr,mdiff) boundary layer mixing coefficients (m^2/s) |
1194 |
c ghat (imt,Nr) nonlocal scalar transport |
1195 |
c sigma(imt) normalized depth (d / hbl) |
1196 |
_RL dkm1 (imt,mdiff) |
1197 |
_RL blmc (imt,Nr,mdiff) |
1198 |
_RL ghat (imt,Nr) |
1199 |
_RL sigma(imt) |
1200 |
integer ikppkey |
1201 |
|
1202 |
#ifdef ALLOW_KPP |
1203 |
|
1204 |
c local |
1205 |
c gat1*(imt) shape function at sigma = 1 |
1206 |
c dat1*(imt) derivative of shape function at sigma = 1 |
1207 |
c ws(imt), wm(imt) turbulent velocity scales (m/s) |
1208 |
_RL gat1m(imt), gat1s(imt), gat1t(imt) |
1209 |
_RL dat1m(imt), dat1s(imt), dat1t(imt) |
1210 |
_RL ws(imt), wm(imt) |
1211 |
integer i, kn, ki |
1212 |
_RL R, dvdzup, dvdzdn, viscp |
1213 |
_RL difsp, diftp, visch, difsh, difth |
1214 |
_RL f1, sig, a1, a2, a3, delhat |
1215 |
_RL Gm, Gs, Gt |
1216 |
_RL tempVar |
1217 |
|
1218 |
_RL p0 , eins |
1219 |
parameter (p0=0.0, eins=1.0) |
1220 |
#ifdef ALLOW_AUTODIFF_TAMC |
1221 |
integer kkppkey |
1222 |
#endif |
1223 |
|
1224 |
c----------------------------------------------------------------------- |
1225 |
c compute velocity scales at hbl |
1226 |
c----------------------------------------------------------------------- |
1227 |
|
1228 |
do i = 1, imt |
1229 |
sigma(i) = stable(i) * 1.0 + (1. - stable(i)) * epsilon |
1230 |
end do |
1231 |
|
1232 |
CADJ STORE sigma = comlev1_kpp, key=ikppkey, kind=isbyte |
1233 |
call wscale ( |
1234 |
I sigma, hbl, ustar, bfsfc, |
1235 |
O wm, ws, myThid ) |
1236 |
CADJ STORE wm = comlev1_kpp, key=ikppkey, kind=isbyte |
1237 |
CADJ STORE ws = comlev1_kpp, key=ikppkey, kind=isbyte |
1238 |
|
1239 |
do i = 1, imt |
1240 |
wm(i) = sign(eins,wm(i))*max(phepsi,abs(wm(i))) |
1241 |
ws(i) = sign(eins,ws(i))*max(phepsi,abs(ws(i))) |
1242 |
end do |
1243 |
CADJ STORE wm = comlev1_kpp, key=ikppkey, kind=isbyte |
1244 |
CADJ STORE ws = comlev1_kpp, key=ikppkey, kind=isbyte |
1245 |
|
1246 |
do i = 1, imt |
1247 |
|
1248 |
kn = int(caseA(i)+phepsi) *(kbl(i) -1) + |
1249 |
$ (1 - int(caseA(i)+phepsi)) * kbl(i) |
1250 |
|
1251 |
c----------------------------------------------------------------------- |
1252 |
c find the interior viscosities and derivatives at hbl(i) |
1253 |
c----------------------------------------------------------------------- |
1254 |
|
1255 |
delhat = 0.5*hwide(kn) - zgrid(kn) - hbl(i) |
1256 |
R = 1.0 - delhat / hwide(kn) |
1257 |
dvdzup = (diffus(i,kn-1,1) - diffus(i,kn ,1)) / hwide(kn) |
1258 |
dvdzdn = (diffus(i,kn ,1) - diffus(i,kn+1,1)) / hwide(kn+1) |
1259 |
viscp = 0.5 * ( (1.-R) * (dvdzup + abs(dvdzup)) + |
1260 |
1 R * (dvdzdn + abs(dvdzdn)) ) |
1261 |
|
1262 |
dvdzup = (diffus(i,kn-1,2) - diffus(i,kn ,2)) / hwide(kn) |
1263 |
dvdzdn = (diffus(i,kn ,2) - diffus(i,kn+1,2)) / hwide(kn+1) |
1264 |
difsp = 0.5 * ( (1.-R) * (dvdzup + abs(dvdzup)) + |
1265 |
1 R * (dvdzdn + abs(dvdzdn)) ) |
1266 |
|
1267 |
dvdzup = (diffus(i,kn-1,3) - diffus(i,kn ,3)) / hwide(kn) |
1268 |
dvdzdn = (diffus(i,kn ,3) - diffus(i,kn+1,3)) / hwide(kn+1) |
1269 |
diftp = 0.5 * ( (1.-R) * (dvdzup + abs(dvdzup)) + |
1270 |
1 R * (dvdzdn + abs(dvdzdn)) ) |
1271 |
|
1272 |
visch = diffus(i,kn,1) + viscp * delhat |
1273 |
difsh = diffus(i,kn,2) + difsp * delhat |
1274 |
difth = diffus(i,kn,3) + diftp * delhat |
1275 |
|
1276 |
f1 = stable(i) * conc1 * bfsfc(i) / |
1277 |
& max(ustar(i)**4,phepsi) |
1278 |
gat1m(i) = visch / hbl(i) / wm(i) |
1279 |
dat1m(i) = -viscp / wm(i) + f1 * visch |
1280 |
|
1281 |
gat1s(i) = difsh / hbl(i) / ws(i) |
1282 |
dat1s(i) = -difsp / ws(i) + f1 * difsh |
1283 |
|
1284 |
gat1t(i) = difth / hbl(i) / ws(i) |
1285 |
dat1t(i) = -diftp / ws(i) + f1 * difth |
1286 |
|
1287 |
end do |
1288 |
#ifdef KPP_AUTODIFF_EXCESSIVE_STORE |
1289 |
CADJ STORE gat1m = comlev1_kpp, key=ikppkey, kind=isbyte |
1290 |
CADJ STORE gat1s = comlev1_kpp, key=ikppkey, kind=isbyte |
1291 |
CADJ STORE gat1t = comlev1_kpp, key=ikppkey, kind=isbyte |
1292 |
CADJ STORE dat1m = comlev1_kpp, key=ikppkey, kind=isbyte |
1293 |
CADJ STORE dat1s = comlev1_kpp, key=ikppkey, kind=isbyte |
1294 |
CADJ STORE dat1t = comlev1_kpp, key=ikppkey, kind=isbyte |
1295 |
#endif |
1296 |
do i = 1, imt |
1297 |
dat1m(i) = min(dat1m(i),p0) |
1298 |
dat1s(i) = min(dat1s(i),p0) |
1299 |
dat1t(i) = min(dat1t(i),p0) |
1300 |
end do |
1301 |
#ifdef KPP_AUTODIFF_EXCESSIVE_STORE |
1302 |
CADJ STORE dat1m = comlev1_kpp, key=ikppkey, kind=isbyte |
1303 |
CADJ STORE dat1s = comlev1_kpp, key=ikppkey, kind=isbyte |
1304 |
CADJ STORE dat1t = comlev1_kpp, key=ikppkey, kind=isbyte |
1305 |
#endif |
1306 |
|
1307 |
do ki = 1, Nr |
1308 |
|
1309 |
#ifdef ALLOW_AUTODIFF_TAMC |
1310 |
kkppkey = (ikppkey-1)*Nr + ki |
1311 |
#endif |
1312 |
|
1313 |
c----------------------------------------------------------------------- |
1314 |
c compute turbulent velocity scales on the interfaces |
1315 |
c----------------------------------------------------------------------- |
1316 |
|
1317 |
do i = 1, imt |
1318 |
sig = (-zgrid(ki) + 0.5 * hwide(ki)) / hbl(i) |
1319 |
sigma(i) = stable(i)*sig + (1.-stable(i))*min(sig,epsilon) |
1320 |
end do |
1321 |
#ifdef KPP_AUTODIFF_EXCESSIVE_STORE |
1322 |
CADJ STORE wm = comlev1_kpp_k, key = kkppkey |
1323 |
CADJ STORE ws = comlev1_kpp_k, key = kkppkey |
1324 |
#endif |
1325 |
CADJ STORE sigma = comlev1_kpp_k, key = kkppkey |
1326 |
call wscale ( |
1327 |
I sigma, hbl, ustar, bfsfc, |
1328 |
O wm, ws, myThid ) |
1329 |
CADJ STORE wm = comlev1_kpp_k, key = kkppkey |
1330 |
CADJ STORE ws = comlev1_kpp_k, key = kkppkey |
1331 |
|
1332 |
c----------------------------------------------------------------------- |
1333 |
c compute the dimensionless shape functions at the interfaces |
1334 |
c----------------------------------------------------------------------- |
1335 |
|
1336 |
do i = 1, imt |
1337 |
sig = (-zgrid(ki) + 0.5 * hwide(ki)) / hbl(i) |
1338 |
a1 = sig - 2. |
1339 |
a2 = 3. - 2. * sig |
1340 |
a3 = sig - 1. |
1341 |
|
1342 |
Gm = a1 + a2 * gat1m(i) + a3 * dat1m(i) |
1343 |
Gs = a1 + a2 * gat1s(i) + a3 * dat1s(i) |
1344 |
Gt = a1 + a2 * gat1t(i) + a3 * dat1t(i) |
1345 |
|
1346 |
c----------------------------------------------------------------------- |
1347 |
c compute boundary layer diffusivities at the interfaces |
1348 |
c----------------------------------------------------------------------- |
1349 |
|
1350 |
blmc(i,ki,1) = hbl(i) * wm(i) * sig * (1. + sig * Gm) |
1351 |
blmc(i,ki,2) = hbl(i) * ws(i) * sig * (1. + sig * Gs) |
1352 |
blmc(i,ki,3) = hbl(i) * ws(i) * sig * (1. + sig * Gt) |
1353 |
|
1354 |
c----------------------------------------------------------------------- |
1355 |
c nonlocal transport term = ghat * <ws>o |
1356 |
c----------------------------------------------------------------------- |
1357 |
|
1358 |
tempVar = ws(i) * hbl(i) |
1359 |
ghat(i,ki) = (1.-stable(i)) * cg / max(phepsi,tempVar) |
1360 |
|
1361 |
end do |
1362 |
end do |
1363 |
|
1364 |
c----------------------------------------------------------------------- |
1365 |
c find diffusivities at kbl-1 grid level |
1366 |
c----------------------------------------------------------------------- |
1367 |
|
1368 |
do i = 1, imt |
1369 |
sig = -zgrid(kbl(i)-1) / hbl(i) |
1370 |
sigma(i) = stable(i) * sig |
1371 |
& + (1. - stable(i)) * min(sig,epsilon) |
1372 |
end do |
1373 |
|
1374 |
#ifdef KPP_AUTODIFF_EXCESSIVE_STORE |
1375 |
CADJ STORE wm = comlev1_kpp, key=ikppkey, kind=isbyte |
1376 |
CADJ STORE ws = comlev1_kpp, key=ikppkey, kind=isbyte |
1377 |
#endif |
1378 |
CADJ STORE sigma = comlev1_kpp, key=ikppkey, kind=isbyte |
1379 |
call wscale ( |
1380 |
I sigma, hbl, ustar, bfsfc, |
1381 |
O wm, ws, myThid ) |
1382 |
CADJ STORE wm = comlev1_kpp, key=ikppkey, kind=isbyte |
1383 |
CADJ STORE ws = comlev1_kpp, key=ikppkey, kind=isbyte |
1384 |
|
1385 |
do i = 1, imt |
1386 |
sig = -zgrid(kbl(i)-1) / hbl(i) |
1387 |
a1 = sig - 2. |
1388 |
a2 = 3. - 2. * sig |
1389 |
a3 = sig - 1. |
1390 |
Gm = a1 + a2 * gat1m(i) + a3 * dat1m(i) |
1391 |
Gs = a1 + a2 * gat1s(i) + a3 * dat1s(i) |
1392 |
Gt = a1 + a2 * gat1t(i) + a3 * dat1t(i) |
1393 |
dkm1(i,1) = hbl(i) * wm(i) * sig * (1. + sig * Gm) |
1394 |
dkm1(i,2) = hbl(i) * ws(i) * sig * (1. + sig * Gs) |
1395 |
dkm1(i,3) = hbl(i) * ws(i) * sig * (1. + sig * Gt) |
1396 |
end do |
1397 |
|
1398 |
#endif /* ALLOW_KPP */ |
1399 |
|
1400 |
return |
1401 |
end |
1402 |
|
1403 |
c************************************************************************* |
1404 |
|
1405 |
subroutine enhance ( |
1406 |
I dkm1, hbl, kbl, diffus, casea |
1407 |
U , ghat |
1408 |
O , blmc |
1409 |
& , myThid ) |
1410 |
|
1411 |
c enhance the diffusivity at the kbl-.5 interface |
1412 |
|
1413 |
IMPLICIT NONE |
1414 |
|
1415 |
#include "SIZE.h" |
1416 |
#include "KPP_PARAMS.h" |
1417 |
|
1418 |
c input |
1419 |
c dkm1(imt,mdiff) bl diffusivity at kbl-1 grid level |
1420 |
c hbl(imt) boundary layer depth (m) |
1421 |
c kbl(imt) grid above hbl |
1422 |
c diffus(imt,0:Nrp1,mdiff) vertical diffusivities (m^2/s) |
1423 |
c casea(imt) = 1 in caseA, = 0 in case B |
1424 |
c myThid thread number for this instance of the routine |
1425 |
integer myThid |
1426 |
_RL dkm1 (imt,mdiff) |
1427 |
_RL hbl (imt) |
1428 |
integer kbl (imt) |
1429 |
_RL diffus(imt,0:Nrp1,mdiff) |
1430 |
_RL casea (imt) |
1431 |
|
1432 |
c input/output |
1433 |
c nonlocal transport, modified ghat at kbl(i)-1 interface (s/m**2) |
1434 |
_RL ghat (imt,Nr) |
1435 |
|
1436 |
c output |
1437 |
c enhanced bound. layer mixing coeff. |
1438 |
_RL blmc (imt,Nr,mdiff) |
1439 |
|
1440 |
#ifdef ALLOW_KPP |
1441 |
|
1442 |
c local |
1443 |
c fraction hbl lies beteen zgrid neighbors |
1444 |
_RL delta |
1445 |
integer ki, i, md |
1446 |
_RL dkmp5, dstar |
1447 |
|
1448 |
do i = 1, imt |
1449 |
ki = kbl(i)-1 |
1450 |
if ((ki .ge. 1) .and. (ki .lt. Nr)) then |
1451 |
delta = (hbl(i) + zgrid(ki)) / (zgrid(ki) - zgrid(ki+1)) |
1452 |
do md = 1, mdiff |
1453 |
dkmp5 = casea(i) * diffus(i,ki,md) + |
1454 |
1 (1.- casea(i)) * blmc (i,ki,md) |
1455 |
dstar = (1.- delta)**2 * dkm1(i,md) |
1456 |
& + delta**2 * dkmp5 |
1457 |
blmc(i,ki,md) = (1.- delta)*diffus(i,ki,md) |
1458 |
& + delta*dstar |
1459 |
end do |
1460 |
ghat(i,ki) = (1.- casea(i)) * ghat(i,ki) |
1461 |
endif |
1462 |
end do |
1463 |
|
1464 |
#endif /* ALLOW_KPP */ |
1465 |
|
1466 |
return |
1467 |
end |
1468 |
|
1469 |
c************************************************************************* |
1470 |
|
1471 |
SUBROUTINE STATEKPP ( |
1472 |
O RHO1, DBLOC, DBSFC, TTALPHA, SSBETA, |
1473 |
I ikppkey, bi, bj, myThid ) |
1474 |
c |
1475 |
c----------------------------------------------------------------------- |
1476 |
c "statekpp" computes all necessary input arrays |
1477 |
c for the kpp mixing scheme |
1478 |
c |
1479 |
c input: |
1480 |
c bi, bj = array indices on which to apply calculations |
1481 |
c |
1482 |
c output: |
1483 |
c rho1 = potential density of surface layer (kg/m^3) |
1484 |
c dbloc = local buoyancy gradient at Nr interfaces |
1485 |
c g/rho{k+1,k+1} * [ drho{k,k+1}-drho{k+1,k+1} ] (m/s^2) |
1486 |
c dbsfc = buoyancy difference with respect to the surface |
1487 |
c g * [ drho{1,k}/rho{1,k} - drho{k,k}/rho{k,k} ] (m/s^2) |
1488 |
c ttalpha= thermal expansion coefficient without 1/rho factor |
1489 |
c d(rho) / d(potential temperature) (kg/m^3/C) |
1490 |
c ssbeta = salt expansion coefficient without 1/rho factor |
1491 |
c d(rho) / d(salinity) (kg/m^3/PSU) |
1492 |
c |
1493 |
c see also subroutines find_rho.F find_alpha.F find_beta.F |
1494 |
c |
1495 |
c written by: jan morzel, feb. 10, 1995 (converted from "sigma" version) |
1496 |
c modified by: d. menemenlis, june 1998 : for use with MIT GCM UV |
1497 |
c |
1498 |
|
1499 |
c----------------------------------------------------------------------- |
1500 |
|
1501 |
IMPLICIT NONE |
1502 |
|
1503 |
#include "SIZE.h" |
1504 |
#include "EEPARAMS.h" |
1505 |
#include "PARAMS.h" |
1506 |
#include "KPP_PARAMS.h" |
1507 |
#include "DYNVARS.h" |
1508 |
#include "GRID.h" |
1509 |
#ifdef ALLOW_AUTODIFF |
1510 |
# include "tamc.h" |
1511 |
#endif |
1512 |
|
1513 |
c-------------- Routine arguments ----------------------------------------- |
1514 |
INTEGER bi, bj, myThid |
1515 |
_RL RHO1 ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy ) |
1516 |
_RL DBLOC ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy, Nr ) |
1517 |
_RL DBSFC ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy, Nr ) |
1518 |
_RL TTALPHA( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy, Nrp1 ) |
1519 |
_RL SSBETA ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy, Nrp1 ) |
1520 |
|
1521 |
#ifdef ALLOW_KPP |
1522 |
|
1523 |
c-------------------------------------------------------------------------- |
1524 |
c |
1525 |
c local arrays: |
1526 |
c |
1527 |
c rhok - density of t(k ) & s(k ) at depth k |
1528 |
c rhokm1 - density of t(k-1) & s(k-1) at depth k |
1529 |
c rho1k - density of t(1 ) & s(1 ) at depth k |
1530 |
c work1,2,3 - work arrays for holding horizontal slabs |
1531 |
|
1532 |
_RL RHOK (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
1533 |
_RL RHOKM1(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
1534 |
_RL RHO1K (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
1535 |
_RL WORK1 (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
1536 |
_RL WORK2 (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
1537 |
_RL WORK3 (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
1538 |
|
1539 |
INTEGER I, J, K |
1540 |
INTEGER ikppkey, kkppkey |
1541 |
|
1542 |
c calculate density, alpha, beta in surface layer, and set dbsfc to zero |
1543 |
|
1544 |
kkppkey = (ikppkey-1)*Nr + 1 |
1545 |
|
1546 |
#ifdef KPP_AUTODIFF_EXCESSIVE_STORE |
1547 |
CADJ STORE theta(:,:,1,bi,bj) = comlev1_kpp_k, |
1548 |
CADJ & key=kkppkey, kind=isbyte |
1549 |
CADJ STORE salt (:,:,1,bi,bj) = comlev1_kpp_k, |
1550 |
CADJ & key=kkppkey, kind=isbyte |
1551 |
#endif /* KPP_AUTODIFF_EXCESSIVE_STORE */ |
1552 |
CALL FIND_RHO_2D( |
1553 |
I 1-OLx, sNx+OLx, 1-OLy, sNy+OLy, 1, |
1554 |
I theta(1-OLx,1-OLy,1,bi,bj), salt(1-OLx,1-OLy,1,bi,bj), |
1555 |
O WORK1, |
1556 |
I 1, bi, bj, myThid ) |
1557 |
#ifdef KPP_AUTODIFF_EXCESSIVE_STORE |
1558 |
CADJ STORE theta(:,:,1,bi,bj) = comlev1_kpp_k, |
1559 |
CADJ & key=kkppkey, kind=isbyte |
1560 |
CADJ STORE salt (:,:,1,bi,bj) = comlev1_kpp_k, |
1561 |
CADJ & key=kkppkey, kind=isbyte |
1562 |
#endif /* KPP_AUTODIFF_EXCESSIVE_STORE */ |
1563 |
|
1564 |
call FIND_ALPHA( |
1565 |
I bi, bj, 1-OLx, sNx+OLx, 1-OLy, sNy+OLy, 1, 1, |
1566 |
O WORK2, myThid ) |
1567 |
|
1568 |
call FIND_BETA( |
1569 |
I bi, bj, 1-OLx, sNx+OLx, 1-OLy, sNy+OLy, 1, 1, |
1570 |
O WORK3, myThid ) |
1571 |
|
1572 |
DO J = 1-OLy, sNy+OLy |
1573 |
DO I = 1-OLx, sNx+OLx |
1574 |
RHO1(I,J) = WORK1(I,J) + rhoConst |
1575 |
TTALPHA(I,J,1) = WORK2(I,J) |
1576 |
SSBETA(I,J,1) = WORK3(I,J) |
1577 |
DBSFC(I,J,1) = 0. |
1578 |
END DO |
1579 |
END DO |
1580 |
|
1581 |
c calculate alpha, beta, and gradients in interior layers |
1582 |
|
1583 |
CHPF$ INDEPENDENT, NEW (RHOK,RHOKM1,RHO1K,WORK1,WORK2) |
1584 |
DO K = 2, Nr |
1585 |
|
1586 |
kkppkey = (ikppkey-1)*Nr + k |
1587 |
|
1588 |
#ifdef KPP_AUTODIFF_EXCESSIVE_STORE |
1589 |
CADJ STORE theta(:,:,k,bi,bj) = comlev1_kpp_k, |
1590 |
CADJ & key=kkppkey, kind=isbyte |
1591 |
CADJ STORE salt (:,:,k,bi,bj) = comlev1_kpp_k, |
1592 |
CADJ & key=kkppkey, kind=isbyte |
1593 |
#endif /* KPP_AUTODIFF_EXCESSIVE_STORE */ |
1594 |
CALL FIND_RHO_2D( |
1595 |
I 1-OLx, sNx+OLx, 1-OLy, sNy+OLy, k, |
1596 |
I theta(1-OLx,1-OLy,k,bi,bj), salt(1-OLx,1-OLy,k,bi,bj), |
1597 |
O RHOK, |
1598 |
I k, bi, bj, myThid ) |
1599 |
|
1600 |
#ifdef KPP_AUTODIFF_EXCESSIVE_STORE |
1601 |
CADJ STORE theta(:,:,k-1,bi,bj) = comlev1_kpp_k, |
1602 |
CADJ & key=kkppkey, kind=isbyte |
1603 |
CADJ STORE salt (:,:,k-1,bi,bj) = comlev1_kpp_k, |
1604 |
CADJ & key=kkppkey, kind=isbyte |
1605 |
#endif /* KPP_AUTODIFF_EXCESSIVE_STORE */ |
1606 |
CALL FIND_RHO_2D( |
1607 |
I 1-OLx, sNx+OLx, 1-OLy, sNy+OLy, k, |
1608 |
I theta(1-OLx,1-OLy,k-1,bi,bj),salt(1-OLx,1-OLy,k-1,bi,bj), |
1609 |
O RHOKM1, |
1610 |
I k-1, bi, bj, myThid ) |
1611 |
|
1612 |
#ifdef KPP_AUTODIFF_EXCESSIVE_STORE |
1613 |
CADJ STORE theta(:,:,1,bi,bj) = comlev1_kpp_k, |
1614 |
CADJ & key=kkppkey, kind=isbyte |
1615 |
CADJ STORE salt (:,:,1,bi,bj) = comlev1_kpp_k, |
1616 |
CADJ & key=kkppkey, kind=isbyte |
1617 |
#endif /* KPP_AUTODIFF_EXCESSIVE_STORE */ |
1618 |
CALL FIND_RHO_2D( |
1619 |
I 1-OLx, sNx+OLx, 1-OLy, sNy+OLy, k, |
1620 |
I theta(1-OLx,1-OLy,1,bi,bj), salt(1-OLx,1-OLy,1,bi,bj), |
1621 |
O RHO1K, |
1622 |
I 1, bi, bj, myThid ) |
1623 |
|
1624 |
#ifdef KPP_AUTODIFF_EXCESSIVE_STORE |
1625 |
CADJ STORE rhok (:,:) = comlev1_kpp_k, |
1626 |
CADJ & key=kkppkey, kind=isbyte |
1627 |
CADJ STORE rhokm1(:,:) = comlev1_kpp_k, |
1628 |
CADJ & key=kkppkey, kind=isbyte |
1629 |
CADJ STORE rho1k (:,:) = comlev1_kpp_k, |
1630 |
CADJ & key=kkppkey, kind=isbyte |
1631 |
#endif /* KPP_AUTODIFF_EXCESSIVE_STORE */ |
1632 |
|
1633 |
call FIND_ALPHA( |
1634 |
I bi, bj, 1-OLx, sNx+OLx, 1-OLy, sNy+OLy, K, K, |
1635 |
O WORK1, myThid ) |
1636 |
|
1637 |
call FIND_BETA( |
1638 |
I bi, bj, 1-OLx, sNx+OLx, 1-OLy, sNy+OLy, K, K, |
1639 |
O WORK2, myThid ) |
1640 |
|
1641 |
DO J = 1-OLy, sNy+OLy |
1642 |
DO I = 1-OLx, sNx+OLx |
1643 |
TTALPHA(I,J,K) = WORK1 (I,J) |
1644 |
SSBETA(I,J,K) = WORK2 (I,J) |
1645 |
DBLOC(I,J,K-1) = gravity * (RHOK(I,J) - RHOKM1(I,J)) / |
1646 |
& (RHOK(I,J) + rhoConst) |
1647 |
DBSFC(I,J,K) = gravity * (RHOK(I,J) - RHO1K (I,J)) / |
1648 |
& (RHOK(I,J) + rhoConst) |
1649 |
END DO |
1650 |
END DO |
1651 |
|
1652 |
END DO |
1653 |
|
1654 |
c compute arrays for K = Nrp1 |
1655 |
DO J = 1-OLy, sNy+OLy |
1656 |
DO I = 1-OLx, sNx+OLx |
1657 |
TTALPHA(I,J,Nrp1) = TTALPHA(I,J,Nr) |
1658 |
SSBETA(I,J,Nrp1) = SSBETA(I,J,Nr) |
1659 |
DBLOC(I,J,Nr) = 0. |
1660 |
END DO |
1661 |
END DO |
1662 |
|
1663 |
#ifdef ALLOW_DIAGNOSTICS |
1664 |
IF ( useDiagnostics ) THEN |
1665 |
CALL DIAGNOSTICS_FILL(DBSFC ,'KPPdbsfc',0,Nr,2,bi,bj,myThid) |
1666 |
CALL DIAGNOSTICS_FILL(DBLOC ,'KPPdbloc',0,Nr,2,bi,bj,myThid) |
1667 |
ENDIF |
1668 |
#endif /* ALLOW_DIAGNOSTICS */ |
1669 |
|
1670 |
#endif /* ALLOW_KPP */ |
1671 |
|
1672 |
RETURN |
1673 |
END |
1674 |
|
1675 |
|
1676 |
c************************************************************************* |
1677 |
|
1678 |
SUBROUTINE KPP_DOUBLEDIFF ( |
1679 |
I TTALPHA, SSBETA, |
1680 |
U kappaRT, |
1681 |
U kappaRS, |
1682 |
I ikppkey, imin, imax, jmin, jmax, bi, bj, myThid ) |
1683 |
c |
1684 |
c----------------------------------------------------------------------- |
1685 |
c "KPP_DOUBLEDIFF" adds the double diffusive contributions |
1686 |
C as Rrho-dependent parameterizations to kappaRT and kappaRS |
1687 |
c |
1688 |
c input: |
1689 |
c bi, bj = array indices on which to apply calculations |
1690 |
c imin, imax, jmin, jmax = array boundaries |
1691 |
c ikppkey = key for TAMC/TAF automatic differentiation |
1692 |
c myThid = thread id |
1693 |
c |
1694 |
c ttalpha= thermal expansion coefficient without 1/rho factor |
1695 |
c d(rho) / d(potential temperature) (kg/m^3/C) |
1696 |
c ssbeta = salt expansion coefficient without 1/rho factor |
1697 |
c d(rho) / d(salinity) (kg/m^3/PSU) |
1698 |
c output: updated |
1699 |
c kappaRT/S :: background diffusivities for temperature and salinity |
1700 |
c |
1701 |
c written by: martin losch, sept. 15, 2009 |
1702 |
c |
1703 |
|
1704 |
c----------------------------------------------------------------------- |
1705 |
|
1706 |
IMPLICIT NONE |
1707 |
|
1708 |
#include "SIZE.h" |
1709 |
#include "EEPARAMS.h" |
1710 |
#include "PARAMS.h" |
1711 |
#include "KPP_PARAMS.h" |
1712 |
#include "DYNVARS.h" |
1713 |
#include "GRID.h" |
1714 |
#ifdef ALLOW_AUTODIFF |
1715 |
# include "tamc.h" |
1716 |
#endif |
1717 |
|
1718 |
c-------------- Routine arguments ----------------------------------------- |
1719 |
INTEGER ikppkey, imin, imax, jmin, jmax, bi, bj, myThid |
1720 |
|
1721 |
_RL TTALPHA( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy, Nrp1 ) |
1722 |
_RL SSBETA ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy, Nrp1 ) |
1723 |
_RL KappaRT( 1-Olx:sNx+Olx, 1-Oly:sNy+Oly, Nr ) |
1724 |
_RL KappaRS( 1-Olx:sNx+Olx, 1-Oly:sNy+Oly, Nr ) |
1725 |
|
1726 |
|
1727 |
#ifdef ALLOW_KPP |
1728 |
|
1729 |
C-------------------------------------------------------------------------- |
1730 |
C |
1731 |
C local variables |
1732 |
C I,J,K :: loop indices |
1733 |
C kkppkey :: key for TAMC/TAF automatic differentiation |
1734 |
C |
1735 |
INTEGER I, J, K |
1736 |
INTEGER kkppkey |
1737 |
C alphaDT :: d\rho/d\theta * d\theta |
1738 |
C betaDS :: d\rho/dsalt * dsalt |
1739 |
C Rrho :: "density ratio" R_{\rho} = \alpha dT/dz / \beta dS/dz |
1740 |
C nuddt/s :: double diffusive diffusivities |
1741 |
C numol :: molecular diffusivity |
1742 |
C rFac :: abbreviation for 1/(R_{\rho0}-1) |
1743 |
|
1744 |
_RL alphaDT ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy ) |
1745 |
_RL betaDS ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy ) |
1746 |
_RL nuddt ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy ) |
1747 |
_RL nudds ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy ) |
1748 |
_RL Rrho |
1749 |
_RL numol, rFac, nutmp |
1750 |
INTEGER Km1 |
1751 |
|
1752 |
C set some constants here |
1753 |
numol = 1.5 _d -06 |
1754 |
rFac = 1. _d 0 / (Rrho0 - 1. _d 0 ) |
1755 |
C |
1756 |
kkppkey = (ikppkey-1)*Nr + 1 |
1757 |
|
1758 |
CML#ifdef KPP_AUTODIFF_EXCESSIVE_STORE |
1759 |
CMLCADJ STORE theta(:,:,1,bi,bj) = comlev1_kpp_k, |
1760 |
CMLCADJ & key=kkppkey, kind=isbyte |
1761 |
CMLCADJ STORE salt (:,:,1,bi,bj) = comlev1_kpp_k, |
1762 |
CMLCADJ & key=kkppkey, kind=isbyte |
1763 |
CML#endif /* KPP_AUTODIFF_EXCESSIVE_STORE */ |
1764 |
|
1765 |
DO K = 1, Nr |
1766 |
Km1 = MAX(K-1,1) |
1767 |
DO J = 1-Oly, sNy+Oly |
1768 |
DO I = 1-Olx, sNx+Olx |
1769 |
alphaDT(I,J) = ( theta(I,J,Km1,bi,bj)-theta(I,J,K,bi,bj) ) |
1770 |
& * 0.5 _d 0 * ABS( TTALPHA(I,J,Km1) + TTALPHA(I,J,K) ) |
1771 |
betaDS(I,J) = ( salt(I,J,Km1,bi,bj)-salt(I,J,K,bi,bj) ) |
1772 |
& * 0.5 _d 0 * ( SSBETA(I,J,Km1) + SSBETA(I,J,K) ) |
1773 |
nuddt(I,J) = 0. _d 0 |
1774 |
nudds(I,J) = 0. _d 0 |
1775 |
ENDDO |
1776 |
ENDDO |
1777 |
IF ( K .GT. 1 ) THEN |
1778 |
DO J = jMin, jMax |
1779 |
DO I = iMin, iMax |
1780 |
Rrho = 0. _d 0 |
1781 |
C Now we have many different cases |
1782 |
C a. alphaDT > 0 and betaDS > 0 => salt fingering |
1783 |
C (salinity destabilizes) |
1784 |
IF ( alphaDT(I,J) .GT. betaDS(I,J) |
1785 |
& .AND. betaDS(I,J) .GT. 0. _d 0 ) THEN |
1786 |
Rrho = MIN( alphaDT(I,J)/betaDS(I,J), Rrho0 ) |
1787 |
C Large et al. 1994, eq. 31a |
1788 |
C nudds(I,J) = dsfmax * ( 1. _d 0 - (Rrho - 1. _d 0) * rFac )**3 |
1789 |
nutmp = ( 1. _d 0 - (Rrho - 1. _d 0) * rFac ) |
1790 |
nudds(I,J) = dsfmax * nutmp * nutmp * nutmp |
1791 |
C Large et al. 1994, eq. 31c |
1792 |
nuddt(I,J) = 0.7 _d 0 * nudds(I,J) |
1793 |
ELSEIF ( alphaDT(I,J) .LT. 0. _d 0 |
1794 |
& .AND. betaDS(I,J) .LT. 0. _d 0 |
1795 |
& .AND.alphaDT(I,J) .GT. betaDS(I,J) ) THEN |
1796 |
C b. alphaDT < 0 and betaDS < 0 => semi-convection, diffusive convection |
1797 |
C (temperature destabilizes) |
1798 |
C for Rrho >= 1 the water column is statically unstable and we never |
1799 |
C reach this point |
1800 |
Rrho = alphaDT(I,J)/betaDS(I,J) |
1801 |
C Large et al. 1994, eq. 32 |
1802 |
nuddt(I,J) = numol * 0.909 _d 0 |
1803 |
& * exp ( 4.6 _d 0 * exp ( |
1804 |
& - 5.4 _d 0 * ( 1. _d 0/Rrho - 1. _d 0 ) ) ) |
1805 |
CMLC or |
1806 |
CMLC Large et al. 1994, eq. 33 |
1807 |
CML nuddt(I,J) = numol * 8.7 _d 0 * Rrho**1.1 |
1808 |
C Large et al. 1994, eqs. 34 |
1809 |
nudds(I,J) = nuddt(I,J) * MAX( 0.15 _d 0 * Rrho, |
1810 |
& 1.85 _d 0 * Rrho - 0.85 _d 0 ) |
1811 |
ELSE |
1812 |
C Do nothing, because in this case the water colume is unstable |
1813 |
C => double diffusive processes are negligible and mixing due |
1814 |
C to shear instability will dominate |
1815 |
ENDIF |
1816 |
ENDDO |
1817 |
ENDDO |
1818 |
C ENDIF ( K .GT. 1 ) |
1819 |
ENDIF |
1820 |
C |
1821 |
DO J = 1-Oly, sNy+Oly |
1822 |
DO I = 1-Olx, sNx+Olx |
1823 |
kappaRT(I,J,K) = kappaRT(I,J,K) + nuddt(I,J) |
1824 |
kappaRS(I,J,K) = kappaRS(I,J,K) + nudds(I,J) |
1825 |
ENDDO |
1826 |
ENDDO |
1827 |
#ifdef ALLOW_DIAGNOSTICS |
1828 |
IF ( useDiagnostics ) THEN |
1829 |
CALL DIAGNOSTICS_FILL(nuddt,'KPPnuddt',k,1,2,bi,bj,myThid) |
1830 |
CALL DIAGNOSTICS_FILL(nudds,'KPPnudds',k,1,2,bi,bj,myThid) |
1831 |
ENDIF |
1832 |
#endif /* ALLOW_DIAGNOSTICS */ |
1833 |
C end of K-loop |
1834 |
ENDDO |
1835 |
#endif /* ALLOW_KPP */ |
1836 |
|
1837 |
RETURN |
1838 |
END |