1 | MODULE p4zsink |
---|
2 | !!====================================================================== |
---|
3 | !! *** MODULE p4zsink *** |
---|
4 | !! TOP : PISCES Compute vertical flux of particulate matter due to gravitational sinking |
---|
5 | !!====================================================================== |
---|
6 | !! History : 1.0 ! 2004 (O. Aumont) Original code |
---|
7 | !! 2.0 ! 2007-12 (C. Ethe, G. Madec) F90 |
---|
8 | #if defined key_pisces |
---|
9 | !!---------------------------------------------------------------------- |
---|
10 | !! p4z_sink : Compute vertical flux of particulate matter due to gravitational sinking |
---|
11 | !!---------------------------------------------------------------------- |
---|
12 | USE trc |
---|
13 | USE oce_trc ! |
---|
14 | USE sms_pisces |
---|
15 | USE prtctl_trc |
---|
16 | |
---|
17 | |
---|
18 | IMPLICIT NONE |
---|
19 | PRIVATE |
---|
20 | |
---|
21 | PUBLIC p4z_sink ! called in p4zbio.F90 |
---|
22 | |
---|
23 | !! * Shared module variables |
---|
24 | REAL(wp), PUBLIC, DIMENSION(jpi,jpj,jpk) :: & !: |
---|
25 | wsbio3, wsbio4, & !: POC and GOC sinking speeds |
---|
26 | wscal !: Calcite and BSi sinking speeds |
---|
27 | |
---|
28 | !! * Module variables |
---|
29 | REAL(wp), PUBLIC, DIMENSION(jpi,jpj,jpk) :: & !: |
---|
30 | sinking, sinking2, & !: POC sinking fluxes (different meanings depending on the parameterization |
---|
31 | sinkcal, sinksil, & !: CaCO3 and BSi sinking fluxes |
---|
32 | sinkfer !: Small BFe sinking flux |
---|
33 | |
---|
34 | REAL(wp) :: & |
---|
35 | xstep , xstep2 !: Time step duration for biology |
---|
36 | |
---|
37 | #if defined key_kriest |
---|
38 | REAL(wp) :: & |
---|
39 | xkr_sfact = 250. , & !: Sinking factor |
---|
40 | xkr_stick = 0.2 , & !: Stickiness |
---|
41 | xkr_nnano = 2.337 , & !: Nbr of cell in nano size class |
---|
42 | xkr_ndiat = 3.718 , & !: Nbr of cell in diatoms size class |
---|
43 | xkr_nmeso = 7.147 , & !: Nbr of cell in mesozoo size class |
---|
44 | xkr_naggr = 9.877 !: Nbr of cell in aggregates size class |
---|
45 | |
---|
46 | REAL(wp) :: & |
---|
47 | xkr_frac |
---|
48 | |
---|
49 | REAL(wp), PUBLIC :: & |
---|
50 | xkr_dnano , & !: Size of particles in nano pool |
---|
51 | xkr_ddiat , & !: Size of particles in diatoms pool |
---|
52 | xkr_dmeso , & !: Size of particles in mesozoo pool |
---|
53 | xkr_daggr , & !: Size of particles in aggregates pool |
---|
54 | xkr_wsbio_min , & !: min vertical particle speed |
---|
55 | xkr_wsbio_max !: max vertical particle speed |
---|
56 | |
---|
57 | REAL(wp), PUBLIC, DIMENSION(jpk) :: & !: |
---|
58 | xnumm !: maximum number of particles in aggregates |
---|
59 | |
---|
60 | #endif |
---|
61 | |
---|
62 | #if ! defined key_kriest |
---|
63 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: & !: |
---|
64 | sinkfer2 !: Big Fe sinking flux |
---|
65 | #endif |
---|
66 | |
---|
67 | !!* Substitution |
---|
68 | # include "domzgr_substitute.h90" |
---|
69 | !!---------------------------------------------------------------------- |
---|
70 | !! NEMO/TOP 2.0 , LOCEAN-IPSL (2007) |
---|
71 | !! $Id$ |
---|
72 | !! Software governed by the CeCILL licence (modipsl/doc/NEMO_CeCILL.txt) |
---|
73 | !!---------------------------------------------------------------------- |
---|
74 | |
---|
75 | CONTAINS |
---|
76 | |
---|
77 | #if defined key_kriest |
---|
78 | |
---|
79 | SUBROUTINE p4z_sink ( kt, jnt ) |
---|
80 | !!--------------------------------------------------------------------- |
---|
81 | !! *** ROUTINE p4z_sink *** |
---|
82 | !! |
---|
83 | !! ** Purpose : Compute vertical flux of particulate matter due to |
---|
84 | !! gravitational sinking - Kriest parameterization |
---|
85 | !! |
---|
86 | !! ** Method : - ??? |
---|
87 | !!--------------------------------------------------------------------- |
---|
88 | |
---|
89 | INTEGER, INTENT(in) :: kt, jnt |
---|
90 | INTEGER :: ji, jj, jk |
---|
91 | INTEGER :: iksed |
---|
92 | REAL(wp) :: zagg1, zagg2, zagg3, zagg4, zagg5, zaggsi, zaggsh |
---|
93 | REAL(wp) :: zagg , zaggdoc, znumdoc |
---|
94 | REAL(wp) :: znum , zeps, zfm, zgm, zsm |
---|
95 | REAL(wp) :: zdiv , zdiv1, zdiv2, zdiv3, zdiv4, zdiv5 |
---|
96 | REAL(wp) :: zval1, zval2, zval3, zval4 |
---|
97 | #if defined key_trc_dia3d |
---|
98 | REAL(wp) :: zrfact2 |
---|
99 | #endif |
---|
100 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: znum3d |
---|
101 | CHARACTER (len=25) :: charout |
---|
102 | |
---|
103 | !!--------------------------------------------------------------------- |
---|
104 | |
---|
105 | IF( ( kt * jnt ) == nittrc000 ) THEN |
---|
106 | CALL p4z_sink_init ! Initialization (first time-step only) |
---|
107 | xstep = rfact2 / rjjss ! Time step duration for biology |
---|
108 | xstep2 = rfact2 / 2. |
---|
109 | ENDIF |
---|
110 | |
---|
111 | ! Initialisation of variables used to compute Sinking Speed |
---|
112 | ! --------------------------------------------------------- |
---|
113 | |
---|
114 | znum3d(:,:,:) = 0.e0 |
---|
115 | iksed = 10 |
---|
116 | zval1 = 1. + xkr_zeta |
---|
117 | zval2 = 1. + xkr_zeta + xkr_eta |
---|
118 | zval3 = 1. + xkr_eta |
---|
119 | |
---|
120 | ! Computation of the vertical sinking speed : Kriest et Evans, 2000 |
---|
121 | ! ----------------------------------------------------------------- |
---|
122 | |
---|
123 | DO jk = 1, jpkm1 |
---|
124 | DO jj = 1, jpj |
---|
125 | DO ji = 1, jpi |
---|
126 | IF( tmask(ji,jj,jk) /= 0.e0 ) THEN |
---|
127 | znum = trn(ji,jj,jk,jppoc) / ( trn(ji,jj,jk,jpnum) + rtrn ) / xkr_massp |
---|
128 | ! -------------- To avoid sinking speed over 50 m/day ------- |
---|
129 | znum = MIN( xnumm(jk), znum ) |
---|
130 | znum = MAX( 1.1 , znum ) |
---|
131 | znum3d(ji,jj,jk) = znum |
---|
132 | !------------------------------------------------------------ |
---|
133 | zeps = ( zval1 * znum - 1. )/ ( znum - 1. ) |
---|
134 | zfm = xkr_frac**( 1. - zeps ) |
---|
135 | zgm = xkr_frac**( zval1 - zeps ) |
---|
136 | zdiv = MAX( 1.e-4, ABS( zeps - zval2 ) ) * SIGN( 1., ( zeps - zval2 ) ) |
---|
137 | zdiv1 = zeps - zval3 |
---|
138 | wsbio3(ji,jj,jk) = xkr_wsbio_min * ( zeps - zval1 ) / zdiv & |
---|
139 | & - xkr_wsbio_max * zgm * xkr_eta / zdiv |
---|
140 | wsbio4(ji,jj,jk) = xkr_wsbio_min * ( zeps-1. ) / zdiv1 & |
---|
141 | & - xkr_wsbio_max * zfm * xkr_eta / zdiv1 |
---|
142 | IF( znum == 1.1) wsbio3(ji,jj,jk) = wsbio4(ji,jj,jk) |
---|
143 | ENDIF |
---|
144 | END DO |
---|
145 | END DO |
---|
146 | END DO |
---|
147 | |
---|
148 | wscal(:,:,:) = MAX( wsbio3(:,:,:), 50. ) |
---|
149 | |
---|
150 | |
---|
151 | ! INITIALIZE TO ZERO ALL THE SINKING ARRAYS |
---|
152 | ! ----------------------------------------- |
---|
153 | |
---|
154 | sinking (:,:,:) = 0.e0 |
---|
155 | sinking2(:,:,:) = 0.e0 |
---|
156 | sinkcal (:,:,:) = 0.e0 |
---|
157 | sinkfer (:,:,:) = 0.e0 |
---|
158 | sinksil (:,:,:) = 0.e0 |
---|
159 | |
---|
160 | ! Compute the sedimentation term using p4zsink2 for all |
---|
161 | ! the sinking particles |
---|
162 | ! ----------------------------------------------------- |
---|
163 | |
---|
164 | CALL p4z_sink2( wsbio3, sinking , jppoc ) |
---|
165 | CALL p4z_sink2( wsbio4, sinking2, jpnum ) |
---|
166 | CALL p4z_sink2( wsbio3, sinkfer , jpsfe ) |
---|
167 | CALL p4z_sink2( wscal , sinksil , jpdsi ) |
---|
168 | CALL p4z_sink2( wscal , sinkcal , jpcal ) |
---|
169 | |
---|
170 | ! Exchange between organic matter compartments due to |
---|
171 | ! coagulation/disaggregation |
---|
172 | ! --------------------------------------------------- |
---|
173 | |
---|
174 | zval1 = 1. + xkr_zeta |
---|
175 | zval2 = 1. + xkr_eta |
---|
176 | zval3 = 3. + xkr_eta |
---|
177 | zval4 = 4. + xkr_eta |
---|
178 | |
---|
179 | DO jk = 1,jpkm1 |
---|
180 | DO jj = 1,jpj |
---|
181 | DO ji = 1,jpi |
---|
182 | IF( tmask(ji,jj,jk) /= 0.e0 ) THEN |
---|
183 | |
---|
184 | znum = trn(ji,jj,jk,jppoc)/(trn(ji,jj,jk,jpnum)+rtrn) / xkr_massp |
---|
185 | ! -------------- To avoid sinking speed over 50 m/day ------- |
---|
186 | znum = min(xnumm(jk),znum) |
---|
187 | znum = MAX( 1.1,znum) |
---|
188 | !------------------------------------------------------------ |
---|
189 | zeps = ( zval1 * znum - 1.) / ( znum - 1.) |
---|
190 | zdiv = MAX( 1.e-4, ABS( zeps - zval3) ) * SIGN( 1., zeps - zval3 ) |
---|
191 | zdiv1 = MAX( 1.e-4, ABS( zeps - 4. ) ) * SIGN( 1., zeps - 4. ) |
---|
192 | zdiv2 = zeps - 2. |
---|
193 | zdiv3 = zeps - 3. |
---|
194 | zdiv4 = zeps - zval2 |
---|
195 | zdiv5 = 2.* zeps - zval4 |
---|
196 | zfm = xkr_frac**( 1.- zeps ) |
---|
197 | zsm = xkr_frac**xkr_eta |
---|
198 | |
---|
199 | ! Part I : Coagulation dependant on turbulence |
---|
200 | ! ---------------------------------------------- |
---|
201 | |
---|
202 | zagg1 = ( 0.163 * trn(ji,jj,jk,jpnum)**2 & |
---|
203 | & * 2.*( (zfm-1.)*(zfm*xkr_mass_max**3-xkr_mass_min**3) & |
---|
204 | & * (zeps-1)/zdiv1 + 3.*(zfm*xkr_mass_max-xkr_mass_min) & |
---|
205 | & * (zfm*xkr_mass_max**2-xkr_mass_min**2) & |
---|
206 | & * (zeps-1.)**2/(zdiv2*zdiv3)) & |
---|
207 | # if defined key_off_degrad |
---|
208 | & *facvol(ji,jj,jk) & |
---|
209 | # endif |
---|
210 | & ) |
---|
211 | |
---|
212 | zagg2 = ( 2*0.163*trn(ji,jj,jk,jpnum)**2*zfm* & |
---|
213 | & ((xkr_mass_max**3+3.*(xkr_mass_max**2 & |
---|
214 | & *xkr_mass_min*(zeps-1.)/zdiv2 & |
---|
215 | & +xkr_mass_max*xkr_mass_min**2*(zeps-1.)/zdiv3) & |
---|
216 | & +xkr_mass_min**3*(zeps-1)/zdiv1) & |
---|
217 | & -zfm*xkr_mass_max**3*(1.+3.*((zeps-1.)/ & |
---|
218 | & (zeps-2.)+(zeps-1.)/zdiv3)+(zeps-1.)/zdiv1)) & |
---|
219 | # if defined key_off_degrad |
---|
220 | & *facvol(ji,jj,jk) & |
---|
221 | # endif |
---|
222 | & ) |
---|
223 | |
---|
224 | zagg3 = ( 0.163*trn(ji,jj,jk,jpnum)**2*zfm**2*8. * xkr_mass_max**3 & |
---|
225 | # if defined key_off_degrad |
---|
226 | & *facvol(ji,jj,jk) & |
---|
227 | # endif |
---|
228 | & ) |
---|
229 | |
---|
230 | zaggsh = ( zagg1 + zagg2 + zagg3 ) * rfact2 * xdiss(ji,jj,jk) / 1000. |
---|
231 | |
---|
232 | ! Aggregation of small into large particles |
---|
233 | ! Part II : Differential settling |
---|
234 | ! ---------------------------------------------- |
---|
235 | |
---|
236 | zagg4 = ( 2.*3.141*0.125*trn(ji,jj,jk,jpnum)**2* & |
---|
237 | & xkr_wsbio_min*(zeps-1.)**2 & |
---|
238 | & *(xkr_mass_min**2*((1.-zsm*zfm)/(zdiv3*zdiv4) & |
---|
239 | & -(1.-zfm)/(zdiv*(zeps-1.)))- & |
---|
240 | & ((zfm*zfm*xkr_mass_max**2*zsm-xkr_mass_min**2) & |
---|
241 | & *xkr_eta)/(zdiv*zdiv3*zdiv5) ) & |
---|
242 | # if defined key_off_degrad |
---|
243 | & *facvol(ji,jj,jk) & |
---|
244 | # endif |
---|
245 | & ) |
---|
246 | |
---|
247 | zagg5 = ( 2.*3.141*0.125*trn(ji,jj,jk,jpnum)**2 & |
---|
248 | & *(zeps-1.)*zfm*xkr_wsbio_min & |
---|
249 | & *(zsm*(xkr_mass_min**2-zfm*xkr_mass_max**2) & |
---|
250 | & /zdiv3-(xkr_mass_min**2-zfm*zsm*xkr_mass_max**2) & |
---|
251 | & /zdiv) & |
---|
252 | # if defined key_off_degrad |
---|
253 | & *facvol(ji,jj,jk) & |
---|
254 | # endif |
---|
255 | & ) |
---|
256 | |
---|
257 | zaggsi = ( zagg4 + zagg5 ) * xstep / 10. |
---|
258 | |
---|
259 | zagg = 0.5 * xkr_stick * ( zaggsh + zaggsi ) |
---|
260 | |
---|
261 | ! Aggregation of DOC to small particles |
---|
262 | ! -------------------------------------- |
---|
263 | |
---|
264 | zaggdoc = ( 0.4 * trn(ji,jj,jk,jpdoc) & |
---|
265 | & + 1018. * trn(ji,jj,jk,jppoc) ) * xstep & |
---|
266 | # if defined key_off_degrad |
---|
267 | & * facvol(ji,jj,jk) & |
---|
268 | # endif |
---|
269 | & * xdiss(ji,jj,jk) * trn(ji,jj,jk,jpdoc) |
---|
270 | |
---|
271 | znumdoc = trn(ji,jj,jk,jpnum) / ( trn(ji,jj,jk,jppoc) + rtrn ) |
---|
272 | tra(ji,jj,jk,jppoc) = tra(ji,jj,jk,jppoc) + zaggdoc |
---|
273 | tra(ji,jj,jk,jpnum) = tra(ji,jj,jk,jpnum) + zaggdoc * znumdoc - zagg |
---|
274 | tra(ji,jj,jk,jpdoc) = tra(ji,jj,jk,jpdoc) - zaggdoc |
---|
275 | |
---|
276 | ENDIF |
---|
277 | END DO |
---|
278 | END DO |
---|
279 | END DO |
---|
280 | |
---|
281 | #if defined key_trc_diaadd |
---|
282 | zrfact2 = 1.e3 * rfact2r |
---|
283 | DO jj = 1, jpj |
---|
284 | DO ji = 1, jpi |
---|
285 | trc2d(ji,jj, jp_pcs0_2d + 4) = sinking (ji,jj,iksed+1) * zrfact2 * tmask(ji,jj,1) |
---|
286 | trc2d(ji,jj, jp_pcs0_2d + 5) = sinking2(ji,jj,iksed+1) * zrfact2 * tmask(ji,jj,1) |
---|
287 | trc2d(ji,jj, jp_pcs0_2d + 6) = sinkfer (ji,jj,iksed+1) * zrfact2 * tmask(ji,jj,1) |
---|
288 | trc2d(ji,jj, jp_pcs0_2d + 7) = sinksil (ji,jj,iksed+1) * zrfact2 * tmask(ji,jj,1) |
---|
289 | trc2d(ji,jj, jp_pcs0_2d + 8) = sinkcal (ji,jj,iksed+1) * zrfact2 * tmask(ji,jj,1) |
---|
290 | ENDDO |
---|
291 | ENDDO |
---|
292 | # if defined key_trc_dia3d |
---|
293 | DO jk = 1, jpk |
---|
294 | DO jj = 1, jpj |
---|
295 | DO ji = 1, jpi |
---|
296 | trc3d(ji,jj,jk,jp_pcs0_3d + 11) = sinking (ji,jj,jk) * zrfact2 * tmask(ji,jj,jk) |
---|
297 | trc3d(ji,jj,jk,jp_pcs0_3d + 12) = sinking2(ji,jj,jk) * zrfact2 * tmask(ji,jj,jk) |
---|
298 | trc3d(ji,jj,jk,jp_pcs0_3d + 13) = sinksil (ji,jj,jk) * zrfact2 * tmask(ji,jj,jk) |
---|
299 | trc3d(ji,jj,jk,jp_pcs0_3d + 14) = sinkcal (ji,jj,jk) * zrfact2 * tmask(ji,jj,jk) |
---|
300 | trc3d(ji,jj,jk,jp_pcs0_3d + 15) = znum3d (ji,jj,jk) * tmask(ji,jj,jk) |
---|
301 | trc3d(ji,jj,jk,jp_pcs0_3d + 16) = wsbio3 (ji,jj,jk) * tmask(ji,jj,jk) |
---|
302 | trc3d(ji,jj,jk,jp_pcs0_3d + 17) = wsbio4 (ji,jj,jk) * tmask(ji,jj,jk) |
---|
303 | ENDDO |
---|
304 | ENDDO |
---|
305 | ENDDO |
---|
306 | # endif |
---|
307 | |
---|
308 | #endif |
---|
309 | ! |
---|
310 | IF(ln_ctl) THEN ! print mean trends (used for debugging) |
---|
311 | WRITE(charout, FMT="('sink')") |
---|
312 | CALL prt_ctl_trc_info(charout) |
---|
313 | CALL prt_ctl_trc(tab4d=tra, mask=tmask, clinfo=ctrcnm) |
---|
314 | ENDIF |
---|
315 | |
---|
316 | END SUBROUTINE p4z_sink |
---|
317 | |
---|
318 | SUBROUTINE p4z_sink_init |
---|
319 | !!---------------------------------------------------------------------- |
---|
320 | !! *** ROUTINE p4z_sink_init *** |
---|
321 | !! |
---|
322 | !! ** Purpose : Initialization of sinking parameters |
---|
323 | !! Kriest parameterization only |
---|
324 | !! |
---|
325 | !! ** Method : Read the nampiskrs namelist and check the parameters |
---|
326 | !! called at the first timestep (nittrc000) |
---|
327 | !! |
---|
328 | !! ** input : Namelist nampiskrs |
---|
329 | !! |
---|
330 | !!---------------------------------------------------------------------- |
---|
331 | INTEGER :: jk, jn, kiter |
---|
332 | REAL(wp) :: znum, zdiv |
---|
333 | REAL(wp) :: zws, zwr, zwl,wmax, znummax |
---|
334 | REAL(wp) :: zmin, zmax, zl, zr, xacc |
---|
335 | |
---|
336 | NAMELIST/nampiskrs/ xkr_sfact, xkr_stick , & |
---|
337 | & xkr_nnano, xkr_ndiat, xkr_nmeso, xkr_naggr |
---|
338 | |
---|
339 | !!---------------------------------------------------------------------- |
---|
340 | REWIND( numnat ) ! read nampiskrs |
---|
341 | READ ( numnat, nampiskrs ) |
---|
342 | |
---|
343 | IF(lwp) THEN |
---|
344 | WRITE(numout,*) |
---|
345 | WRITE(numout,*) ' Namelist : nampiskrs' |
---|
346 | WRITE(numout,*) ' Sinking factor xkr_sfact = ', xkr_sfact |
---|
347 | WRITE(numout,*) ' Stickiness xkr_stick = ', xkr_stick |
---|
348 | WRITE(numout,*) ' Nbr of cell in nano size class xkr_nnano = ', xkr_nnano |
---|
349 | WRITE(numout,*) ' Nbr of cell in diatoms size class xkr_ndiat = ', xkr_ndiat |
---|
350 | WRITE(numout,*) ' Nbr of cell in mesozoo size class xkr_nmeso = ', xkr_nmeso |
---|
351 | WRITE(numout,*) ' Nbr of cell in aggregates size class xkr_naggr = ', xkr_naggr |
---|
352 | ENDIF |
---|
353 | |
---|
354 | |
---|
355 | ! max and min vertical particle speed |
---|
356 | xkr_wsbio_min = xkr_sfact * xkr_mass_min**xkr_eta |
---|
357 | xkr_wsbio_max = xkr_sfact * xkr_mass_max**xkr_eta |
---|
358 | WRITE(numout,*) ' max and min vertical particle speed ', xkr_wsbio_min, xkr_wsbio_max |
---|
359 | |
---|
360 | ! |
---|
361 | ! effect of the sizes of the different living pools on particle numbers |
---|
362 | ! nano = 2um-20um -> mean size=6.32 um -> ws=2.596 -> xnum=xnnano=2.337 |
---|
363 | ! diat and microzoo = 10um-200um -> 44.7 -> 8.732 -> xnum=xndiat=3.718 |
---|
364 | ! mesozoo = 200um-2mm -> 632.45 -> 45.14 -> xnum=xnmeso=7.147 |
---|
365 | ! aggregates = 200um-10mm -> 1414 -> 74.34 -> xnum=xnaggr=9.877 |
---|
366 | ! doc aggregates = 1um |
---|
367 | ! ---------------------------------------------------------- |
---|
368 | |
---|
369 | xkr_dnano = 1. / ( xkr_massp * xkr_nnano ) |
---|
370 | xkr_ddiat = 1. / ( xkr_massp * xkr_ndiat ) |
---|
371 | xkr_dmeso = 1. / ( xkr_massp * xkr_nmeso ) |
---|
372 | xkr_daggr = 1. / ( xkr_massp * xkr_naggr ) |
---|
373 | |
---|
374 | !!--------------------------------------------------------------------- |
---|
375 | !! 'key_kriest' ??? |
---|
376 | !!--------------------------------------------------------------------- |
---|
377 | ! COMPUTATION OF THE VERTICAL PROFILE OF MAXIMUM SINKING SPEED |
---|
378 | ! Search of the maximum number of particles in aggregates for each k-level. |
---|
379 | ! Bissection Method |
---|
380 | !-------------------------------------------------------------------- |
---|
381 | WRITE(numout,*) |
---|
382 | WRITE(numout,*)' kriest : Compute maximum number of particles in aggregates' |
---|
383 | |
---|
384 | xacc = 0.001 |
---|
385 | kiter = 50 |
---|
386 | zmin = 1.10 |
---|
387 | zmax = xkr_mass_max / xkr_mass_min |
---|
388 | xkr_frac = zmax |
---|
389 | |
---|
390 | DO jk = 1,jpk |
---|
391 | zl = zmin |
---|
392 | zr = zmax |
---|
393 | wmax = 0.5 * fse3t(1,1,jk) * rjjss / rfact2 |
---|
394 | zdiv = xkr_zeta + xkr_eta - xkr_eta * zl |
---|
395 | znum = zl - 1. |
---|
396 | zwl = xkr_wsbio_min * xkr_zeta / zdiv & |
---|
397 | & - ( xkr_wsbio_max * xkr_eta * znum * & |
---|
398 | & xkr_frac**( -xkr_zeta / znum ) / zdiv ) & |
---|
399 | & - wmax |
---|
400 | |
---|
401 | zdiv = xkr_zeta + xkr_eta - xkr_eta * zr |
---|
402 | znum = zr - 1. |
---|
403 | zwr = xkr_wsbio_min * xkr_zeta / zdiv & |
---|
404 | & - ( xkr_wsbio_max * xkr_eta * znum * & |
---|
405 | & xkr_frac**( -xkr_zeta / znum ) / zdiv ) & |
---|
406 | & - wmax |
---|
407 | iflag: DO jn = 1, kiter |
---|
408 | IF( zwl == 0.e0 ) THEN |
---|
409 | znummax = zl |
---|
410 | ELSE IF ( zwr == 0.e0 ) THEN |
---|
411 | znummax = zr |
---|
412 | ELSE |
---|
413 | znummax = ( zr + zl ) / 2. |
---|
414 | zdiv = xkr_zeta + xkr_eta - xkr_eta * znummax |
---|
415 | znum = znummax - 1. |
---|
416 | zws = xkr_wsbio_min * xkr_zeta / zdiv & |
---|
417 | & - ( xkr_wsbio_max * xkr_eta * znum * & |
---|
418 | & xkr_frac**( -xkr_zeta / znum ) / zdiv ) & |
---|
419 | & - wmax |
---|
420 | IF( zws * zwl < 0. ) THEN |
---|
421 | zr = znummax |
---|
422 | ELSE |
---|
423 | zl = znummax |
---|
424 | ENDIF |
---|
425 | zdiv = xkr_zeta + xkr_eta - xkr_eta * zl |
---|
426 | znum = zl - 1. |
---|
427 | zwl = xkr_wsbio_min * xkr_zeta / zdiv & |
---|
428 | & - ( xkr_wsbio_max * xkr_eta * znum * & |
---|
429 | & xkr_frac**( -xkr_zeta / znum ) / zdiv ) & |
---|
430 | & - wmax |
---|
431 | |
---|
432 | zdiv = xkr_zeta + xkr_eta - xkr_eta * zr |
---|
433 | znum = zr - 1. |
---|
434 | zwr = xkr_wsbio_min * xkr_zeta / zdiv & |
---|
435 | & - ( xkr_wsbio_max * xkr_eta * znum * & |
---|
436 | & xkr_frac**( -xkr_zeta / znum ) / zdiv ) & |
---|
437 | & - wmax |
---|
438 | |
---|
439 | IF ( ABS ( zws ) <= xacc ) EXIT iflag |
---|
440 | |
---|
441 | ENDIF |
---|
442 | |
---|
443 | END DO iflag |
---|
444 | |
---|
445 | xnumm(jk) = znummax |
---|
446 | WRITE(numout,*) ' jk = ', jk, ' wmax = ', wmax,' xnum max = ', xnumm(jk) |
---|
447 | |
---|
448 | END DO |
---|
449 | |
---|
450 | END SUBROUTINE p4z_sink_init |
---|
451 | |
---|
452 | #else |
---|
453 | |
---|
454 | SUBROUTINE p4z_sink ( kt, jnt ) |
---|
455 | !!--------------------------------------------------------------------- |
---|
456 | !! *** ROUTINE p4z_sink *** |
---|
457 | !! |
---|
458 | !! ** Purpose : Compute vertical flux of particulate matter due to |
---|
459 | !! gravitational sinking |
---|
460 | !! |
---|
461 | !! ** Method : - ??? |
---|
462 | !!--------------------------------------------------------------------- |
---|
463 | INTEGER, INTENT(in) :: kt, jnt |
---|
464 | INTEGER :: ji, jj, jk |
---|
465 | INTEGER :: iksed |
---|
466 | REAL(wp) :: zagg1, zagg2, zagg3, zagg4 |
---|
467 | REAL(wp) :: zagg , zaggfe, zaggdoc, zaggdoc2 |
---|
468 | REAL(wp) :: zfact, zwsmax |
---|
469 | #if defined key_trc_dia3d |
---|
470 | REAL(wp) :: zrfact2 |
---|
471 | #endif |
---|
472 | CHARACTER (len=25) :: charout |
---|
473 | !!--------------------------------------------------------------------- |
---|
474 | |
---|
475 | IF( ( kt * jnt ) == nittrc000 ) THEN |
---|
476 | xstep = rfact2 / rjjss ! Timestep duration for biology |
---|
477 | xstep2 = rfact2 / 2. |
---|
478 | ENDIF |
---|
479 | |
---|
480 | ! Sinking speeds of detritus is increased with depth as shown |
---|
481 | ! by data and from the coagulation theory |
---|
482 | ! ----------------------------------------------------------- |
---|
483 | |
---|
484 | iksed = 10 |
---|
485 | |
---|
486 | DO jk = 1, jpkm1 |
---|
487 | DO jj = 1, jpj |
---|
488 | DO ji=1,jpi |
---|
489 | zfact = MAX( 0., fsdepw(ji,jj,jk+1)-hmld(ji,jj) ) / 4000. |
---|
490 | wsbio4(ji,jj,jk) = wsbio2 + ( 200.- wsbio2 ) * zfact |
---|
491 | END DO |
---|
492 | END DO |
---|
493 | END DO |
---|
494 | |
---|
495 | ! LIMIT THE VALUES OF THE SINKING SPEEDS |
---|
496 | ! TO AVOID NUMERICAL INSTABILITIES |
---|
497 | |
---|
498 | wsbio3(:,:,:) = wsbio |
---|
499 | ! |
---|
500 | ! OA Below, this is garbage. the ideal would be to find a time-splitting |
---|
501 | ! OA algorithm that does not increase the computing cost by too much |
---|
502 | ! OA In ROMS, I have included a time-splitting procedure. But it is |
---|
503 | ! OA too expensive as the loop is computed globally. Thus, a small e3t |
---|
504 | ! OA at one place determines the number of subtimesteps globally |
---|
505 | ! OA AWFULLY EXPENSIVE !! Not able to find a better approach. Damned !! |
---|
506 | |
---|
507 | DO jk = 1,jpkm1 |
---|
508 | DO jj = 1, jpj |
---|
509 | DO ji = 1, jpi |
---|
510 | zwsmax = 0.8 * fse3t(ji,jj,jk) / xstep |
---|
511 | wsbio4(ji,jj,jk) = MIN( wsbio4(ji,jj,jk), zwsmax ) |
---|
512 | wsbio3(ji,jj,jk) = MIN( wsbio3(ji,jj,jk), zwsmax ) |
---|
513 | END DO |
---|
514 | END DO |
---|
515 | END DO |
---|
516 | |
---|
517 | wscal(:,:,:) = wsbio4(:,:,:) |
---|
518 | |
---|
519 | ! INITIALIZE TO ZERO ALL THE SINKING ARRAYS |
---|
520 | ! ----------------------------------------- |
---|
521 | |
---|
522 | sinking (:,:,:) = 0.e0 |
---|
523 | sinking2(:,:,:) = 0.e0 |
---|
524 | sinkcal (:,:,:) = 0.e0 |
---|
525 | sinkfer (:,:,:) = 0.e0 |
---|
526 | sinksil (:,:,:) = 0.e0 |
---|
527 | sinkfer2(:,:,:) = 0.e0 |
---|
528 | |
---|
529 | ! Compute the sedimentation term using p4zsink2 for all |
---|
530 | ! the sinking particles |
---|
531 | ! ----------------------------------------------------- |
---|
532 | |
---|
533 | CALL p4z_sink2( wsbio3, sinking , jppoc ) |
---|
534 | CALL p4z_sink2( wsbio3, sinkfer , jpsfe ) |
---|
535 | CALL p4z_sink2( wsbio4, sinking2, jpgoc ) |
---|
536 | CALL p4z_sink2( wsbio4, sinkfer2, jpbfe ) |
---|
537 | CALL p4z_sink2( wsbio4, sinksil , jpdsi ) |
---|
538 | CALL p4z_sink2( wscal , sinkcal , jpcal ) |
---|
539 | |
---|
540 | ! Exchange between organic matter compartments due to |
---|
541 | ! coagulation/disaggregation |
---|
542 | ! --------------------------------------------------- |
---|
543 | |
---|
544 | DO jk = 1, jpkm1 |
---|
545 | DO jj = 1, jpj |
---|
546 | DO ji = 1, jpi |
---|
547 | zfact = xstep * xdiss(ji,jj,jk) |
---|
548 | |
---|
549 | ! Part I : Coagulation dependent on turbulence |
---|
550 | ! ---------------------------------------------- |
---|
551 | |
---|
552 | # if defined key_off_degrad |
---|
553 | zagg1 = 940.* zfact * trn(ji,jj,jk,jppoc) * trn(ji,jj,jk,jppoc) * facvol(ji,jj,jk) |
---|
554 | # else |
---|
555 | zagg1 = 940.* zfact * trn(ji,jj,jk,jppoc) * trn(ji,jj,jk,jppoc) |
---|
556 | # endif |
---|
557 | |
---|
558 | # if defined key_off_degrad |
---|
559 | zagg2 = 1.054e4 * zfact * trn(ji,jj,jk,jppoc) * trn(ji,jj,jk,jpgoc) * facvol(ji,jj,jk) |
---|
560 | # else |
---|
561 | zagg2 = 1.054e4 * zfact * trn(ji,jj,jk,jppoc) * trn(ji,jj,jk,jpgoc) |
---|
562 | # endif |
---|
563 | |
---|
564 | ! Aggregation of small into large particles |
---|
565 | ! Part II : Differential settling |
---|
566 | ! ---------------------------------------------- |
---|
567 | |
---|
568 | # if defined key_off_degrad |
---|
569 | zagg3 = 0.66 * xstep * trn(ji,jj,jk,jppoc) * trn(ji,jj,jk,jpgoc) * facvol(ji,jj,jk) |
---|
570 | # else |
---|
571 | zagg3 = 0.66 * xstep * trn(ji,jj,jk,jppoc) * trn(ji,jj,jk,jpgoc) |
---|
572 | # endif |
---|
573 | |
---|
574 | # if defined key_off_degrad |
---|
575 | zagg4 = 0.e0 * xstep * trn(ji,jj,jk,jppoc) * trn(ji,jj,jk,jppoc) * facvol(ji,jj,jk) |
---|
576 | # else |
---|
577 | zagg4 = 0.e0 * xstep * trn(ji,jj,jk,jppoc) * trn(ji,jj,jk,jppoc) |
---|
578 | # endif |
---|
579 | |
---|
580 | zagg = zagg1 + zagg2 + zagg3 + zagg4 |
---|
581 | zaggfe = zagg * trn(ji,jj,jk,jpsfe) / ( trn(ji,jj,jk,jppoc) + rtrn ) |
---|
582 | |
---|
583 | ! Aggregation of DOC to small particles |
---|
584 | ! -------------------------------------- |
---|
585 | |
---|
586 | zaggdoc = ( 80.* trn(ji,jj,jk,jpdoc) + 698. * trn(ji,jj,jk,jppoc) ) & |
---|
587 | # if defined key_off_degrad |
---|
588 | & * facvol(ji,jj,jk) & |
---|
589 | # endif |
---|
590 | & * zfact * trn(ji,jj,jk,jpdoc) |
---|
591 | |
---|
592 | zaggdoc2 = 1.05e4 * zfact * trn(ji,jj,jk,jpgoc) & |
---|
593 | # if defined key_off_degrad |
---|
594 | & * facvol(ji,jj,jk) & |
---|
595 | # endif |
---|
596 | & * trn(ji,jj,jk,jpdoc) |
---|
597 | ! |
---|
598 | ! Update the trends |
---|
599 | ! ----------------- |
---|
600 | ! |
---|
601 | tra(ji,jj,jk,jppoc) = tra(ji,jj,jk,jppoc) - zagg + zaggdoc |
---|
602 | tra(ji,jj,jk,jpgoc) = tra(ji,jj,jk,jpgoc) + zagg + zaggdoc2 |
---|
603 | tra(ji,jj,jk,jpsfe) = tra(ji,jj,jk,jpsfe) - zaggfe |
---|
604 | tra(ji,jj,jk,jpbfe) = tra(ji,jj,jk,jpbfe) + zaggfe |
---|
605 | tra(ji,jj,jk,jpdoc) = tra(ji,jj,jk,jpdoc) - zaggdoc - zaggdoc2 |
---|
606 | |
---|
607 | END DO |
---|
608 | END DO |
---|
609 | END DO |
---|
610 | |
---|
611 | # if defined key_trc_diaadd |
---|
612 | zrfact2 = 1.e3 * rfact2r |
---|
613 | DO jj = 1, jpj |
---|
614 | DO ji = 1, jpi |
---|
615 | trc2d(ji,jj, jp_pcs0_2d + 4) = sinking (ji,jj,iksed+1) * zrfact2 * tmask(ji,jj,1) |
---|
616 | trc2d(ji,jj, jp_pcs0_2d + 5) = sinking2(ji,jj,iksed+1) * zrfact2 * tmask(ji,jj,1) |
---|
617 | trc2d(ji,jj, jp_pcs0_2d + 6) = sinkfer (ji,jj,iksed+1) * zrfact2 * tmask(ji,jj,1) |
---|
618 | trc2d(ji,jj, jp_pcs0_2d + 7) = sinkfer2(ji,jj,iksed+1) * zrfact2 * tmask(ji,jj,1) |
---|
619 | trc2d(ji,jj, jp_pcs0_2d + 8) = sinksil (ji,jj,iksed+1) * zrfact2 * tmask(ji,jj,1) |
---|
620 | trc2d(ji,jj, jp_pcs0_2d + 9) = sinkcal (ji,jj,iksed+1) * zrfact2 * tmask(ji,jj,1) |
---|
621 | ENDDO |
---|
622 | ENDDO |
---|
623 | # endif |
---|
624 | ! |
---|
625 | IF(ln_ctl) THEN ! print mean trends (used for debugging) |
---|
626 | WRITE(charout, FMT="('sink')") |
---|
627 | CALL prt_ctl_trc_info(charout) |
---|
628 | CALL prt_ctl_trc(tab4d=tra, mask=tmask, clinfo=ctrcnm) |
---|
629 | ENDIF |
---|
630 | |
---|
631 | END SUBROUTINE p4z_sink |
---|
632 | |
---|
633 | #endif |
---|
634 | |
---|
635 | SUBROUTINE p4z_sink2( pwsink, psinkflx, jp_tra ) |
---|
636 | !!--------------------------------------------------------------------- |
---|
637 | !! *** ROUTINE p4z_sink2 *** |
---|
638 | !! |
---|
639 | !! ** Purpose : Compute the sedimentation terms for the various sinking |
---|
640 | !! particles. The scheme used to compute the trends is based |
---|
641 | !! on MUSCL. |
---|
642 | !! |
---|
643 | !! ** Method : - this ROUTINE compute not exactly the advection but the |
---|
644 | !! transport term, i.e. div(u*tra). |
---|
645 | !!--------------------------------------------------------------------- |
---|
646 | INTEGER , INTENT(in ) :: jp_tra ! tracer index index |
---|
647 | REAL(wp), INTENT(in ), DIMENSION(jpi,jpj,jpk) :: pwsink ! sinking speed |
---|
648 | REAL(wp), INTENT(inout), DIMENSION(jpi,jpj,jpk) :: psinkflx ! sinking fluxe |
---|
649 | !! |
---|
650 | INTEGER :: ji, jj, jk, jn |
---|
651 | REAL(wp) :: zigma,zew,zign, zflx |
---|
652 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: ztraz, zakz |
---|
653 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zwsink2 |
---|
654 | !!--------------------------------------------------------------------- |
---|
655 | |
---|
656 | |
---|
657 | ztraz(:,:,:) = 0.e0 |
---|
658 | zakz (:,:,:) = 0.e0 |
---|
659 | |
---|
660 | DO jk = 1, jpkm1 |
---|
661 | # if defined key_off_degrad |
---|
662 | zwsink2(:,:,jk+1) = -pwsink(:,:,jk) / rjjss * tmask(:,:,jk+1) * facvol(:,:,jk) |
---|
663 | # else |
---|
664 | zwsink2(:,:,jk+1) = -pwsink(:,:,jk) / rjjss * tmask(:,:,jk+1) |
---|
665 | # endif |
---|
666 | END DO |
---|
667 | zwsink2(:,:,1) = 0.e0 |
---|
668 | |
---|
669 | |
---|
670 | ! Vertical advective flux |
---|
671 | DO jn = 1, 2 |
---|
672 | ! first guess of the slopes interior values |
---|
673 | DO jk = 2, jpkm1 |
---|
674 | ztraz(:,:,jk) = ( trn(:,:,jk-1,jp_tra) - trn(:,:,jk,jp_tra) ) * tmask(:,:,jk) |
---|
675 | END DO |
---|
676 | ztraz(:,:,1 ) = 0.0 |
---|
677 | ztraz(:,:,jpk) = 0.0 |
---|
678 | |
---|
679 | ! slopes |
---|
680 | DO jk = 2, jpkm1 |
---|
681 | DO jj = 1,jpj |
---|
682 | DO ji = 1, jpi |
---|
683 | zign = 0.25 + SIGN( 0.25, ztraz(ji,jj,jk) * ztraz(ji,jj,jk+1) ) |
---|
684 | zakz(ji,jj,jk) = ( ztraz(ji,jj,jk) + ztraz(ji,jj,jk+1) ) * zign |
---|
685 | END DO |
---|
686 | END DO |
---|
687 | END DO |
---|
688 | |
---|
689 | ! Slopes limitation |
---|
690 | DO jk = 2, jpkm1 |
---|
691 | DO jj = 1, jpj |
---|
692 | DO ji = 1, jpi |
---|
693 | zakz(ji,jj,jk) = SIGN( 1., zakz(ji,jj,jk) ) * & |
---|
694 | & MIN( ABS( zakz(ji,jj,jk) ), 2. * ABS(ztraz(ji,jj,jk+1)), 2. * ABS(ztraz(ji,jj,jk) ) ) |
---|
695 | END DO |
---|
696 | END DO |
---|
697 | END DO |
---|
698 | |
---|
699 | ! vertical advective flux |
---|
700 | DO jk = 1, jpkm1 |
---|
701 | DO jj = 1, jpj |
---|
702 | DO ji = 1, jpi |
---|
703 | zigma = zwsink2(ji,jj,jk+1) * xstep2 / fse3w(ji,jj,jk+1) |
---|
704 | zew = zwsink2(ji,jj,jk+1) |
---|
705 | psinkflx(ji,jj,jk+1) = -zew * ( trn(ji,jj,jk,jp_tra) - 0.5 * ( 1 + zigma ) * zakz(ji,jj,jk) ) * xstep2 |
---|
706 | END DO |
---|
707 | END DO |
---|
708 | END DO |
---|
709 | ! |
---|
710 | ! Boundary conditions |
---|
711 | psinkflx(:,:,1 ) = 0.e0 |
---|
712 | psinkflx(:,:,jpk) = 0.e0 |
---|
713 | |
---|
714 | DO jk=1,jpkm1 |
---|
715 | DO jj = 1,jpj |
---|
716 | DO ji = 1, jpi |
---|
717 | zflx = ( psinkflx(ji,jj,jk) - psinkflx(ji,jj,jk+1) ) / fse3t(ji,jj,jk) |
---|
718 | trn(ji,jj,jk,jp_tra) = trn(ji,jj,jk,jp_tra) + zflx |
---|
719 | END DO |
---|
720 | END DO |
---|
721 | END DO |
---|
722 | |
---|
723 | ENDDO |
---|
724 | |
---|
725 | DO jk=1,jpkm1 |
---|
726 | DO jj = 1,jpj |
---|
727 | DO ji = 1, jpi |
---|
728 | zflx = ( psinkflx(ji,jj,jk) - psinkflx(ji,jj,jk+1) ) / fse3t(ji,jj,jk) |
---|
729 | trb(ji,jj,jk,jp_tra) = trb(ji,jj,jk,jp_tra) + 2. * zflx |
---|
730 | END DO |
---|
731 | END DO |
---|
732 | END DO |
---|
733 | |
---|
734 | trn(:,:,:,jp_tra) = trb(:,:,:,jp_tra) |
---|
735 | psinkflx(:,:,:) = 2. * psinkflx(:,:,:) |
---|
736 | |
---|
737 | ! |
---|
738 | END SUBROUTINE p4z_sink2 |
---|
739 | |
---|
740 | #else |
---|
741 | !!====================================================================== |
---|
742 | !! Dummy module : No PISCES bio-model |
---|
743 | !!====================================================================== |
---|
744 | CONTAINS |
---|
745 | SUBROUTINE p4z_sink ! Empty routine |
---|
746 | END SUBROUTINE p4z_sink |
---|
747 | #endif |
---|
748 | |
---|
749 | !!====================================================================== |
---|
750 | END MODULE p4zsink |
---|