1 | MODULE trazdf_iso |
---|
2 | !!============================================================================== |
---|
3 | !! *** MODULE trazdf_iso *** |
---|
4 | !! Ocean active tracers: vertical component of the tracer mixing trend |
---|
5 | !!============================================================================== |
---|
6 | #if defined key_ldfslp || defined key_esopa |
---|
7 | !!---------------------------------------------------------------------- |
---|
8 | !! 'key_ldfslp' rotation of the lateral mixing tensor |
---|
9 | !!---------------------------------------------------------------------- |
---|
10 | !! tra_zdf_iso : update the tracer trend with the vertical part of |
---|
11 | !! the isopycnal or geopotential s-coord. operator and |
---|
12 | !! the vertical diffusion |
---|
13 | !!---------------------------------------------------------------------- |
---|
14 | !! * Modules used |
---|
15 | USE oce ! ocean dynamics and tracers variables |
---|
16 | USE dom_oce ! ocean space and time domain variables |
---|
17 | USE ldfslp ! Make iso-neutral slopes available |
---|
18 | USE ldftra_oce ! ocean active tracers: lateral physics |
---|
19 | USE zdf_oce ! ocean vertical physics |
---|
20 | USE zdfddm ! ocean vertical physics: double diffusion |
---|
21 | USE trdmod ! ocean active tracers trends |
---|
22 | USE trdmod_oce ! ocean variables trends |
---|
23 | USE in_out_manager ! I/O manager |
---|
24 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
---|
25 | |
---|
26 | IMPLICIT NONE |
---|
27 | PRIVATE |
---|
28 | |
---|
29 | !! * Accessibility |
---|
30 | PUBLIC tra_zdf_iso ! routine called by step.F90 |
---|
31 | |
---|
32 | !! * Substitutions |
---|
33 | # include "domzgr_substitute.h90" |
---|
34 | # include "ldftra_substitute.h90" |
---|
35 | # include "ldfeiv_substitute.h90" |
---|
36 | # include "zdfddm_substitute.h90" |
---|
37 | !!---------------------------------------------------------------------- |
---|
38 | !!---------------------------------------------------------------------- |
---|
39 | !! OPA 9.0 , LOCEAN-IPSL (2005) |
---|
40 | !! $Header$ |
---|
41 | !! This software is governed by the CeCILL licence see modipsl/doc/NEMO_CeCILL.txt |
---|
42 | !!---------------------------------------------------------------------- |
---|
43 | CONTAINS |
---|
44 | |
---|
45 | SUBROUTINE tra_zdf_iso( kt ) |
---|
46 | !!---------------------------------------------------------------------- |
---|
47 | !! *** ROUTINE tra_zdf_iso *** |
---|
48 | !! |
---|
49 | !! ** Purpose : |
---|
50 | !! Compute the trend due to the vertical tracer diffusion inclu- |
---|
51 | !! ding the vertical component of lateral mixing (only for second |
---|
52 | !! order operator, for fourth order it is already computed and |
---|
53 | !! add to the general trend in traldf.F) and add it to the general |
---|
54 | !! trend of the tracer equations. |
---|
55 | !! |
---|
56 | !! ** Method : |
---|
57 | !! The vertical component of the lateral diffusive trends is |
---|
58 | !! provided by a 2nd order operator rotated along neural or geopo- |
---|
59 | !! tential surfaces to which an eddy induced advection can be added |
---|
60 | !! It is computed using before fields (forward in time) and isopyc- |
---|
61 | !! nal or geopotential slopes computed in routine ldfslp. |
---|
62 | !! |
---|
63 | !! First part: vertical trends associated with the lateral mixing |
---|
64 | !! ========== (excluding the vertical flux proportional to dk[t] ) |
---|
65 | !! vertical fluxes associated with the rotated lateral mixing: |
---|
66 | !! zftw =-aht { e2t*wslpi di[ mi(mk(tb)) ] |
---|
67 | !! + e1t*wslpj dj[ mj(mk(tb)) ] } |
---|
68 | !! save avt coef. resulting from vertical physics alone in zavt: |
---|
69 | !! zavt = avt |
---|
70 | !! update and save in zavt the vertical eddy viscosity coefficient: |
---|
71 | !! avt = avt + wslpi^2+wslj^2 |
---|
72 | !! add vertical Eddy Induced advective fluxes ('lk_traldf_eiv=T): |
---|
73 | !! zftw = zftw + { di[aht e2u mi(wslpi)] |
---|
74 | !! +dj[aht e1v mj(wslpj)] } mk(tb) |
---|
75 | !! take the horizontal divergence of the fluxes: |
---|
76 | !! difft = 1/(e1t*e2t*e3t) dk[ zftw ] |
---|
77 | !! Add this trend to the general trend (ta,sa): |
---|
78 | !! ta = ta + difft |
---|
79 | !! |
---|
80 | !! Second part: vertical trend associated with the vertical physics |
---|
81 | !! =========== (including the vertical flux proportional to dk[t] |
---|
82 | !! associated with the lateral mixing, through the |
---|
83 | !! update of avt) |
---|
84 | !! The vertical diffusion of tracers (t & s) is given by: |
---|
85 | !! difft = dz( avt dz(t) ) = 1/e3t dk+1( avt/e3w dk(t) ) |
---|
86 | !! It is computed using a backward time scheme, t=ta. |
---|
87 | !! Surface and bottom boundary conditions: no diffusive flux on |
---|
88 | !! both tracers (bottom, applied through the masked field avt). |
---|
89 | !! Add this trend to the general trend ta,sa : |
---|
90 | !! ta = ta + dz( avt dz(t) ) |
---|
91 | !! (sa = sa + dz( avs dz(t) ) if lk_zdfddm=T ) |
---|
92 | !! |
---|
93 | !! Third part: recover avt resulting from the vertical physics |
---|
94 | !! ========== alone, for further diagnostics (for example to |
---|
95 | !! compute the turbocline depth in zdfmxl.F90). |
---|
96 | !! avt = zavt |
---|
97 | !! (avs = zavs if lk_zdfddm=T ) |
---|
98 | !! |
---|
99 | !! 'key_trdtra' defined: trend saved for futher diagnostics. |
---|
100 | !! |
---|
101 | !! macro-tasked on vertical slab (jj-loop) |
---|
102 | !! |
---|
103 | !! ** Action : |
---|
104 | !! Update (ta,sa) arrays with the before vertical diffusion trend |
---|
105 | !! Save in (ztdta,ztdsa) arrays the trends if 'key_trdtra' defined |
---|
106 | !! |
---|
107 | !! History : |
---|
108 | !! 7.0 ! 91-11 (G. Madec) Original code |
---|
109 | !! ! 92-06 (M. Imbard) correction on tracer trend loops |
---|
110 | !! ! 96-01 (G. Madec) statement function for e3 |
---|
111 | !! ! 97-05 (G. Madec) vertical component of isopycnal |
---|
112 | !! ! 97-07 (G. Madec) geopotential diffusion in s-coord |
---|
113 | !! ! 00-08 (G. Madec) double diffusive mixing |
---|
114 | !! 8.5 ! 02-08 (G. Madec) F90: Free form and module |
---|
115 | !! 9.0 ! 04-08 (C. Talandier) New trends organization |
---|
116 | !!--------------------------------------------------------------------- |
---|
117 | !! * Modules used |
---|
118 | USE oce , & |
---|
119 | # if defined key_zdfddm |
---|
120 | zavs => va, & ! use va as workspace |
---|
121 | # endif |
---|
122 | zavt => ua ! use ua as workspace |
---|
123 | |
---|
124 | !! * Arguments |
---|
125 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
---|
126 | |
---|
127 | !! * Local save |
---|
128 | REAL(wp), DIMENSION(jpk), SAVE :: & |
---|
129 | z2dt |
---|
130 | |
---|
131 | !! * Local declarations |
---|
132 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
133 | INTEGER :: ikst, ikenm2, ikstp1 ! temporary integers |
---|
134 | #if defined key_partial_steps |
---|
135 | INTEGER :: iku, ikv, ikv1 ! temporary integers |
---|
136 | #endif |
---|
137 | REAL(wp) :: zta, zsa |
---|
138 | REAL(wp) :: & |
---|
139 | zcoef0, zcoef3, & ! ??? |
---|
140 | zcoef4, zavi, & ! ??? |
---|
141 | zbtr, zmku, zmkv, & ! |
---|
142 | ztav, zsav |
---|
143 | REAL(wp), DIMENSION(jpi,jpk) :: & |
---|
144 | zwd, zws, zwi, & ! ??? |
---|
145 | zwx, zwy, zwz, zwt ! ??? |
---|
146 | REAL(wp), DIMENSION(jpi,jpk) :: & |
---|
147 | ztfw, zdit, zdjt, zdj1t, & |
---|
148 | zsfw, zdis, zdjs, zdj1s |
---|
149 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: & |
---|
150 | ztavg, zsavg, & ! workspace arrays |
---|
151 | ztdta, ztdsa ! workspace arrays |
---|
152 | #if defined key_traldf_eiv || defined key_esopa |
---|
153 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: & |
---|
154 | ztfwg, zsfwg |
---|
155 | REAL(wp) :: & |
---|
156 | zcoeg3, & |
---|
157 | zuwk, zvwk, & |
---|
158 | zuwki, zvwki |
---|
159 | #endif |
---|
160 | !!--------------------------------------------------------------------- |
---|
161 | !! OPA 8.5, LODYC-IPSL (2002) |
---|
162 | !!--------------------------------------------------------------------- |
---|
163 | |
---|
164 | IF( kt == nit000 ) THEN |
---|
165 | IF(lwp) WRITE(numout,*) |
---|
166 | IF(lwp) WRITE(numout,*) 'tra_zdf_iso : vertical mixing (including isopycnal component)' |
---|
167 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~' |
---|
168 | #if defined key_diaeiv |
---|
169 | w_eiv(:,:,:) = 0.e0 |
---|
170 | #endif |
---|
171 | ENDIF |
---|
172 | |
---|
173 | ! 0. Local constant initialization |
---|
174 | ! -------------------------------- |
---|
175 | ztavg(:,:,:) = 0.e0 |
---|
176 | zsavg(:,:,:) = 0.e0 |
---|
177 | |
---|
178 | ! time step = 2 rdttra ex |
---|
179 | IF( neuler == 0 .AND. kt == nit000 ) THEN |
---|
180 | z2dt(:) = rdttra(:) ! restarting with Euler time stepping |
---|
181 | ELSEIF( kt <= nit000 + 1) THEN |
---|
182 | z2dt(:) = 2. * rdttra(:) ! leapfrog |
---|
183 | ENDIF |
---|
184 | |
---|
185 | ! Save ta and sa trends |
---|
186 | IF( l_trdtra ) THEN |
---|
187 | ztdta(:,:,:) = ta(:,:,:) |
---|
188 | ztdsa(:,:,:) = sa(:,:,:) |
---|
189 | ENDIF |
---|
190 | |
---|
191 | ! ! =============== |
---|
192 | DO jj = 2, jpjm1 ! Vertical slab |
---|
193 | ! ! =============== |
---|
194 | |
---|
195 | ! I. vertical trends associated with the lateral mixing |
---|
196 | ! ===================================================== |
---|
197 | ! (excluding the vertical flux proportional to dk[t] |
---|
198 | |
---|
199 | |
---|
200 | ! I.1 horizontal tracer gradient |
---|
201 | ! ------------------------------ |
---|
202 | |
---|
203 | DO jk = 1, jpkm1 |
---|
204 | DO ji = 1, jpim1 |
---|
205 | ! i-gradient of T and S at jj |
---|
206 | zdit (ji,jk) = ( tb(ji+1,jj,jk)-tb(ji,jj,jk) ) * umask(ji,jj,jk) |
---|
207 | zdis (ji,jk) = ( sb(ji+1,jj,jk)-sb(ji,jj,jk) ) * umask(ji,jj,jk) |
---|
208 | ! j-gradient of T and S at jj |
---|
209 | zdjt (ji,jk) = ( tb(ji,jj+1,jk)-tb(ji,jj,jk) ) * vmask(ji,jj,jk) |
---|
210 | zdjs (ji,jk) = ( sb(ji,jj+1,jk)-sb(ji,jj,jk) ) * vmask(ji,jj,jk) |
---|
211 | ! j-gradient of T and S at jj+1 |
---|
212 | zdj1t(ji,jk) = ( tb(ji,jj,jk)-tb(ji,jj-1,jk) ) * vmask(ji,jj-1,jk) |
---|
213 | zdj1s(ji,jk) = ( sb(ji,jj,jk)-sb(ji,jj-1,jk) ) * vmask(ji,jj-1,jk) |
---|
214 | END DO |
---|
215 | END DO |
---|
216 | # if defined key_partial_steps |
---|
217 | ! partial steps correction at the bottom ocean level |
---|
218 | DO ji = 1, jpim1 |
---|
219 | ! last ocean level |
---|
220 | iku = MIN( mbathy(ji,jj), mbathy(ji+1,jj ) ) - 1 |
---|
221 | ikv = MIN( mbathy(ji,jj), mbathy(ji ,jj+1) ) - 1 |
---|
222 | ikv1 = MIN( mbathy(ji,jj), mbathy(ji ,jj-1) ) - 1 |
---|
223 | ! i-gradient of T and S at jj |
---|
224 | zdit (ji,iku) = gtu(ji,jj) |
---|
225 | zdis (ji,iku) = gsu(ji,jj) |
---|
226 | ! j-gradient of T and S at jj |
---|
227 | zdjt (ji,ikv) = gtv(ji,jj) |
---|
228 | zdjs (ji,ikv) = gsv(ji,jj) |
---|
229 | ! j-gradient of T and S at jj+1 |
---|
230 | zdj1t(ji,ikv1)= gtv(ji,jj-1) |
---|
231 | zdj1s(ji,ikv1)= gsv(ji,jj-1) |
---|
232 | END DO |
---|
233 | #endif |
---|
234 | |
---|
235 | |
---|
236 | ! I.2 Vertical fluxes |
---|
237 | ! ------------------- |
---|
238 | |
---|
239 | ! Surface and bottom vertical fluxes set to zero |
---|
240 | ztfw(:, 1 ) = 0.e0 |
---|
241 | zsfw(:, 1 ) = 0.e0 |
---|
242 | ztfw(:,jpk) = 0.e0 |
---|
243 | zsfw(:,jpk) = 0.e0 |
---|
244 | #if defined key_traldf_eiv |
---|
245 | ztfwg(:,:, 1 ) = 0.e0 |
---|
246 | zsfwg(:,:, 1 ) = 0.e0 |
---|
247 | ztfwg(:,:,jpk) = 0.e0 |
---|
248 | zsfwg(:,:,jpk) = 0.e0 |
---|
249 | #endif |
---|
250 | |
---|
251 | ! interior (2=<jk=<jpk-1) |
---|
252 | DO jk = 2, jpkm1 |
---|
253 | DO ji = 2, jpim1 |
---|
254 | zcoef0 = - fsahtw(ji,jj,jk) * tmask(ji,jj,jk) |
---|
255 | |
---|
256 | zmku = 1./MAX( umask(ji ,jj,jk-1) + umask(ji-1,jj,jk) & |
---|
257 | & +umask(ji-1,jj,jk-1) + umask(ji ,jj,jk), 1. ) |
---|
258 | |
---|
259 | zmkv = 1./MAX( vmask(ji,jj ,jk-1) + vmask(ji,jj-1,jk) & |
---|
260 | & +vmask(ji,jj-1,jk-1) + vmask(ji,jj ,jk), 1. ) |
---|
261 | |
---|
262 | zcoef3 = zcoef0 * e2t(ji,jj) * zmku * wslpi (ji,jj,jk) |
---|
263 | zcoef4 = zcoef0 * e1t(ji,jj) * zmkv * wslpj (ji,jj,jk) |
---|
264 | |
---|
265 | ztfw(ji,jk) = zcoef3 * ( zdit (ji ,jk-1) + zdit (ji-1,jk) & |
---|
266 | & +zdit (ji-1,jk-1) + zdit (ji ,jk) ) & |
---|
267 | & + zcoef4 * ( zdjt (ji ,jk-1) + zdj1t(ji ,jk) & |
---|
268 | & +zdj1t(ji ,jk-1) + zdjt (ji ,jk) ) |
---|
269 | |
---|
270 | zsfw(ji,jk) = zcoef3 * ( zdis (ji ,jk-1) + zdis (ji-1,jk) & |
---|
271 | & +zdis (ji-1,jk-1) + zdis (ji ,jk) ) & |
---|
272 | & + zcoef4 * ( zdjs (ji ,jk-1) + zdj1s(ji ,jk) & |
---|
273 | & +zdj1s(ji ,jk-1) + zdjs (ji ,jk) ) |
---|
274 | END DO |
---|
275 | END DO |
---|
276 | |
---|
277 | |
---|
278 | ! I.3 update and save of avt (and avs if double diffusive mixing) |
---|
279 | ! --------------------------- |
---|
280 | |
---|
281 | DO jk = 2, jpkm1 |
---|
282 | DO ji = 2, jpim1 |
---|
283 | |
---|
284 | zavi = fsahtw(ji,jj,jk)*( wslpi(ji,jj,jk)*wslpi(ji,jj,jk) & |
---|
285 | & +wslpj(ji,jj,jk)*wslpj(ji,jj,jk) ) |
---|
286 | |
---|
287 | ! save avt in zavt to recover avt for mixed layer depth diag. |
---|
288 | zavt(ji,jj,jk) = avt(ji,jj,jk) |
---|
289 | ! add isopycnal vertical coeff. to avt |
---|
290 | avt(ji,jj,jk) = avt(ji,jj,jk) + zavi |
---|
291 | ! same procedure on avs if necessary |
---|
292 | #if defined key_zdfddm |
---|
293 | ! save avs in zavs to recover avs in output files |
---|
294 | zavs(ji,jj,jk) = fsavs(ji,jj,jk) |
---|
295 | ! add isopycnal vertical coeff. to avs |
---|
296 | fsavs(ji,jj,jk) = fsavs(ji,jj,jk) + zavi |
---|
297 | #endif |
---|
298 | END DO |
---|
299 | END DO |
---|
300 | |
---|
301 | #if defined key_traldf_eiv |
---|
302 | ! ! ---------------------------------------! |
---|
303 | ! ! Eddy induced vertical advective fluxes ! |
---|
304 | ! ! ---------------------------------------! |
---|
305 | #if defined key_traldf_c2d || defined key_traldf_c3d |
---|
306 | DO jk = 2, jpkm1 |
---|
307 | DO ji = 2, jpim1 |
---|
308 | zuwki = ( wslpi(ji,jj,jk) + wslpi(ji-1,jj,jk) ) & |
---|
309 | & * fsaeiu(ji-1,jj,jk) * e2u(ji-1,jj)*umask(ji-1,jj,jk) |
---|
310 | zuwk = ( wslpi(ji,jj,jk) + wslpi(ji+1,jj,jk) ) & |
---|
311 | & * fsaeiu(ji ,jj,jk) * e2u(ji ,jj)*umask(ji ,jj,jk) |
---|
312 | zvwki = ( wslpj(ji,jj,jk) + wslpj(ji,jj-1,jk) ) & |
---|
313 | & * fsaeiv(ji,jj-1,jk) * e1v(ji,jj-1)*vmask(ji,jj-1,jk) |
---|
314 | zvwk = ( wslpj(ji,jj,jk) + wslpj(ji,jj+1,jk) ) & |
---|
315 | & * fsaeiv(ji,jj ,jk) * e1v(ji ,jj)*vmask(ji ,jj,jk) |
---|
316 | |
---|
317 | zcoeg3 = + 0.25 * tmask(ji,jj,jk) * ( zuwk - zuwki + zvwk - zvwki ) |
---|
318 | |
---|
319 | ztfwg(ji,jj,jk) = + zcoeg3 * ( tb(ji,jj,jk) + tb(ji,jj,jk-1) ) |
---|
320 | zsfwg(ji,jj,jk) = + zcoeg3 * ( sb(ji,jj,jk) + sb(ji,jj,jk-1) ) |
---|
321 | |
---|
322 | ztfw(ji,jk) = ztfw(ji,jk) + ztfwg(ji,jj,jk) |
---|
323 | zsfw(ji,jk) = zsfw(ji,jk) + zsfwg(ji,jj,jk) |
---|
324 | # if defined key_diaeiv |
---|
325 | w_eiv(ji,jj,jk) = -2. * zcoeg3 / ( e1t(ji,jj)*e2t(ji,jj) ) |
---|
326 | # endif |
---|
327 | END DO |
---|
328 | END DO |
---|
329 | |
---|
330 | #else |
---|
331 | DO jk = 2, jpkm1 |
---|
332 | DO ji = 2, jpim1 |
---|
333 | zuwki = ( wslpi(ji,jj,jk) + wslpi(ji-1,jj,jk) ) & |
---|
334 | & * e2u(ji-1,jj)*umask(ji-1,jj,jk) |
---|
335 | zuwk = ( wslpi(ji,jj,jk) + wslpi(ji+1,jj,jk) ) & |
---|
336 | & * e2u(ji ,jj)*umask(ji ,jj,jk) |
---|
337 | zvwki = ( wslpj(ji,jj,jk) + wslpj(ji,jj-1,jk) ) & |
---|
338 | & * e1v(ji,jj-1)*vmask(ji,jj-1,jk) |
---|
339 | zvwk = ( wslpj(ji,jj,jk) + wslpj(ji,jj+1,jk) ) & |
---|
340 | & * e1v(ji ,jj)*vmask(ji ,jj,jk) |
---|
341 | |
---|
342 | zcoeg3 = + 0.25 * tmask(ji,jj,jk) * fsaeiw(ji,jj,jk) & |
---|
343 | & * ( zuwk - zuwki + zvwk - zvwki ) |
---|
344 | |
---|
345 | ztfwg(ji,jj,jk) = + zcoeg3 * ( tb(ji,jj,jk) + tb(ji,jj,jk-1) ) |
---|
346 | zsfwg(ji,jj,jk) = + zcoeg3 * ( sb(ji,jj,jk) + sb(ji,jj,jk-1) ) |
---|
347 | |
---|
348 | ztfw(ji,jk) = ztfw(ji,jk) + ztfwg(ji,jj,jk) |
---|
349 | zsfw(ji,jk) = zsfw(ji,jk) + zsfwg(ji,jj,jk) |
---|
350 | # if defined key_diaeiv |
---|
351 | w_eiv(ji,jj,jk) = -2. * zcoeg3 / ( e1t(ji,jj)*e2t(ji,jj) ) |
---|
352 | # endif |
---|
353 | END DO |
---|
354 | END DO |
---|
355 | #endif |
---|
356 | |
---|
357 | #endif |
---|
358 | |
---|
359 | ! I.5 Divergence of vertical fluxes added to the general tracer trend |
---|
360 | ! ------------------------------------------------------------------- |
---|
361 | |
---|
362 | DO jk = 1, jpkm1 |
---|
363 | DO ji = 2, jpim1 |
---|
364 | zbtr = 1. / ( e1t(ji,jj)*e2t(ji,jj)*fse3t(ji,jj,jk) ) |
---|
365 | ztav = ( ztfw(ji,jk) - ztfw(ji,jk+1) ) * zbtr |
---|
366 | zsav = ( zsfw(ji,jk) - zsfw(ji,jk+1) ) * zbtr |
---|
367 | ta(ji,jj,jk) = ta(ji,jj,jk) + ztav |
---|
368 | sa(ji,jj,jk) = sa(ji,jj,jk) + zsav |
---|
369 | END DO |
---|
370 | END DO |
---|
371 | ! ! =============== |
---|
372 | END DO ! End of slab |
---|
373 | ! ! =============== |
---|
374 | |
---|
375 | ! save the trends for diagnostic |
---|
376 | ! WARNING jpttddoe is used here for vertical Gent velocity trend not for damping !!! |
---|
377 | IF( l_trdtra ) THEN |
---|
378 | # if defined key_traldf_eiv |
---|
379 | ! Compute the vertical Gent velocity trend |
---|
380 | ! ! =============== |
---|
381 | DO jj = 2, jpjm1 ! Vertical slab |
---|
382 | ! ! =============== |
---|
383 | DO jk = 1, jpkm1 |
---|
384 | DO ji = 2, jpim1 |
---|
385 | zbtr = 1. / ( e1t(ji,jj)*e2t(ji,jj)*fse3t(ji,jj,jk) ) |
---|
386 | ztavg(ji,jj,jk) = ( ztfwg(ji,jj,jk) - ztfwg(ji,jj,jk+1) ) * zbtr |
---|
387 | zsavg(ji,jj,jk) = ( zsfwg(ji,jj,jk) - zsfwg(ji,jj,jk+1) ) * zbtr |
---|
388 | END DO |
---|
389 | END DO |
---|
390 | ! ! =============== |
---|
391 | END DO ! End of slab |
---|
392 | ! ! =============== |
---|
393 | |
---|
394 | CALL trd_mod(ztavg, zsavg, jpttddoe, 'TRA', kt) |
---|
395 | # endif |
---|
396 | ! Recompute the divergence of vertical fluxes ztav & zsav trends |
---|
397 | ! computed at step 1.5 above in making the difference between the new |
---|
398 | ! trend ta()/sa() and the previous one ztdta()/ztdsa() and substract |
---|
399 | ! the vertical Gent velocity trend ztavg()/zsavg() (zero if not used) |
---|
400 | ztavg(:,:,:) = ta(:,:,:) - ztdta(:,:,:) - ztavg(:,:,:) |
---|
401 | zsavg(:,:,:) = sa(:,:,:) - ztdsa(:,:,:) - zsavg(:,:,:) |
---|
402 | |
---|
403 | ! Save the new ta and sa trends |
---|
404 | ztdta(:,:,:) = ta(:,:,:) |
---|
405 | ztdsa(:,:,:) = sa(:,:,:) |
---|
406 | ENDIF |
---|
407 | |
---|
408 | IF(l_ctl) THEN ! print mean trends (used for debugging) |
---|
409 | zta = SUM( ta(2:nictl,2:njctl,1:jpkm1) * tmask(2:nictl,2:njctl,1:jpkm1) ) |
---|
410 | zsa = SUM( sa(2:nictl,2:njctl,1:jpkm1) * tmask(2:nictl,2:njctl,1:jpkm1) ) |
---|
411 | WRITE(numout,*) ' zdf 1- Ta: ', zta-t_ctl, ' Sa: ', zsa-s_ctl |
---|
412 | t_ctl = zta ; s_ctl = zsa |
---|
413 | ENDIF |
---|
414 | |
---|
415 | ! ! =============== |
---|
416 | DO jj = 2, jpjm1 ! Vertical slab |
---|
417 | ! ! =============== |
---|
418 | |
---|
419 | ! II. Vertical trend associated with the vertical physics |
---|
420 | ! ======================================================= |
---|
421 | ! (including the vertical flux proportional to dk[t] associated |
---|
422 | ! with the lateral mixing, through the avt update) |
---|
423 | ! dk[ avt dk[ (t,s) ] ] diffusive trends |
---|
424 | |
---|
425 | |
---|
426 | ! II.0 Matrix construction |
---|
427 | ! ------------------------ |
---|
428 | |
---|
429 | ! Diagonal, inferior, superior |
---|
430 | ! (including the bottom boundary condition via avt masked) |
---|
431 | DO jk = 1, jpkm1 |
---|
432 | DO ji = 2, jpim1 |
---|
433 | zwi(ji,jk) = - z2dt(jk) * avt(ji,jj,jk ) & |
---|
434 | / ( fse3t(ji,jj,jk) * fse3w(ji,jj,jk ) ) |
---|
435 | zws(ji,jk) = - z2dt(jk) * avt(ji,jj,jk+1) & |
---|
436 | / ( fse3t(ji,jj,jk) * fse3w(ji,jj,jk+1) ) |
---|
437 | zwd(ji,jk) = 1. - zwi(ji,jk) - zws(ji,jk) |
---|
438 | END DO |
---|
439 | END DO |
---|
440 | |
---|
441 | ! Surface boudary conditions |
---|
442 | DO ji = 2, jpim1 |
---|
443 | zwi(ji,1) = 0.e0 |
---|
444 | zwd(ji,1) = 1. - zws(ji,1) |
---|
445 | END DO |
---|
446 | |
---|
447 | |
---|
448 | ! II.1. Vertical diffusion on t |
---|
449 | ! --------------------------- |
---|
450 | |
---|
451 | ! Second member construction |
---|
452 | DO jk = 1, jpkm1 |
---|
453 | DO ji = 2, jpim1 |
---|
454 | zwy(ji,jk) = tb(ji,jj,jk) + z2dt(jk) * ta(ji,jj,jk) |
---|
455 | END DO |
---|
456 | END DO |
---|
457 | |
---|
458 | ! Matrix inversion from the first level |
---|
459 | ikst = 1 |
---|
460 | # include "zdf.matrixsolver.h90" |
---|
461 | |
---|
462 | ! Save the masked temperature after in ta |
---|
463 | ! (c a u t i o n: temperature not its trend, Leap-frog scheme done |
---|
464 | ! it will not be done in tranxt) |
---|
465 | DO jk = 1, jpkm1 |
---|
466 | DO ji = 2, jpim1 |
---|
467 | ta(ji,jj,jk) = zwx(ji,jk) * tmask(ji,jj,jk) |
---|
468 | END DO |
---|
469 | END DO |
---|
470 | |
---|
471 | |
---|
472 | ! II.2 Vertical diffusion on s |
---|
473 | ! --------------------------- |
---|
474 | |
---|
475 | #if defined key_zdfddm |
---|
476 | ! Rebuild the Matrix as avt /= avs |
---|
477 | |
---|
478 | ! Diagonal, inferior, superior |
---|
479 | ! (including the bottom boundary condition via avs masked) |
---|
480 | DO jk = 1, jpkm1 |
---|
481 | DO ji = 2, jpim1 |
---|
482 | zwi(ji,jk) = - z2dt(jk) * fsavs(ji,jj,jk ) & |
---|
483 | /( fse3t(ji,jj,jk) * fse3w(ji,jj,jk ) ) |
---|
484 | zws(ji,jk) = - z2dt(jk) * fsavs(ji,jj,jk+1) & |
---|
485 | /( fse3t(ji,jj,jk) * fse3w(ji,jj,jk+1) ) |
---|
486 | zwd(ji,jk) = 1. - zwi(ji,jk) - zws(ji,jk) |
---|
487 | END DO |
---|
488 | END DO |
---|
489 | |
---|
490 | ! Surface boudary conditions |
---|
491 | DO ji = 2, jpim1 |
---|
492 | zwi(ji,1) = 0.e0 |
---|
493 | zwd(ji,1) = 1. - zws(ji,1) |
---|
494 | END DO |
---|
495 | #endif |
---|
496 | ! Second member construction |
---|
497 | DO jk = 1, jpkm1 |
---|
498 | DO ji = 2, jpim1 |
---|
499 | zwy(ji,jk) = sb(ji,jj,jk) + z2dt(jk) * sa(ji,jj,jk) |
---|
500 | END DO |
---|
501 | END DO |
---|
502 | |
---|
503 | ! Matrix inversion from the first level |
---|
504 | ikst = 1 |
---|
505 | # include "zdf.matrixsolver.h90" |
---|
506 | |
---|
507 | ! Save the masked salinity after in sa |
---|
508 | ! (c a u t i o n: salinity not its trend, Leap-frog scheme done |
---|
509 | ! it will not be done in tranxt) |
---|
510 | DO jk = 1, jpkm1 |
---|
511 | DO ji = 2, jpim1 |
---|
512 | sa(ji,jj,jk) = zwx(ji,jk) * tmask(ji,jj,jk) |
---|
513 | END DO |
---|
514 | END DO |
---|
515 | |
---|
516 | |
---|
517 | ! III. recover the avt (avs) resulting from vertical physics only |
---|
518 | ! =============================================================== |
---|
519 | |
---|
520 | DO jk = 2, jpkm1 |
---|
521 | DO ji = 2, jpim1 |
---|
522 | avt(ji,jj,jk) = zavt(ji,jj,jk) |
---|
523 | #if defined key_zdfddm |
---|
524 | fsavs(ji,jj,jk) = zavs(ji,jj,jk) |
---|
525 | #endif |
---|
526 | END DO |
---|
527 | END DO |
---|
528 | |
---|
529 | ! ! =============== |
---|
530 | END DO ! End of slab |
---|
531 | ! ! =============== |
---|
532 | |
---|
533 | ! save the trends for diagnostic |
---|
534 | ! compute the vertical diffusive trends in substracting the previous |
---|
535 | ! trends ztdta()/ztdsa() to the new one computed via dT/dt or dS/dt |
---|
536 | ! i.e. with the new temperature/salinity ta/sa computed above |
---|
537 | IF( l_trdtra ) THEN |
---|
538 | IF( l_traldf_iso) THEN |
---|
539 | DO jk = 1, jpkm1 |
---|
540 | ztdta(:,:,jk) = ( ( ta(:,:,jk) - tb(:,:,jk) ) / z2dt(jk) ) - ztdta(:,:,jk) + ztavg(:,:,jk) |
---|
541 | ztdsa(:,:,jk) = ( ( sa(:,:,jk) - sb(:,:,jk) ) / z2dt(jk) ) - ztdsa(:,:,jk) + zsavg(:,:,jk) |
---|
542 | END DO |
---|
543 | ELSE |
---|
544 | DO jk = 1, jpkm1 |
---|
545 | ztdta(:,:,jk) = ( ( ta(:,:,jk) - tb(:,:,jk) ) / z2dt(jk) ) - ztdta(:,:,jk) |
---|
546 | ztdsa(:,:,jk) = ( ( sa(:,:,jk) - sb(:,:,jk) ) / z2dt(jk) ) - ztdsa(:,:,jk) |
---|
547 | END DO |
---|
548 | ENDIF |
---|
549 | |
---|
550 | CALL trd_mod(ztdta, ztdsa, jpttdzdf, 'TRA', kt) |
---|
551 | ENDIF |
---|
552 | |
---|
553 | IF(l_ctl) THEN ! print mean trends (used for debugging) |
---|
554 | zta = SUM( ta(2:nictl,2:njctl,1:jpkm1) * tmask(2:nictl,2:njctl,1:jpkm1) ) |
---|
555 | zsa = SUM( sa(2:nictl,2:njctl,1:jpkm1) * tmask(2:nictl,2:njctl,1:jpkm1) ) |
---|
556 | WRITE(numout,*) ' zdf 2- Ta: ', zta, ' Sa: ', zsa |
---|
557 | ENDIF |
---|
558 | |
---|
559 | END SUBROUTINE tra_zdf_iso |
---|
560 | |
---|
561 | #else |
---|
562 | !!---------------------------------------------------------------------- |
---|
563 | !! Dummy module NO rotation of the lateral mixing tensor |
---|
564 | !!---------------------------------------------------------------------- |
---|
565 | CONTAINS |
---|
566 | SUBROUTINE tra_zdf_iso( kt ) ! empty routine |
---|
567 | WRITE(*,*) 'tra_zdf_iso: You should not have seen this print! error?', kt |
---|
568 | END SUBROUTINE tra_zdf_iso |
---|
569 | #endif |
---|
570 | |
---|
571 | !!============================================================================== |
---|
572 | END MODULE trazdf_iso |
---|