1 | MODULE limitd_me |
---|
2 | !!====================================================================== |
---|
3 | !! *** MODULE limitd_me *** |
---|
4 | !! LIM-3 : Mechanical impact on ice thickness distribution |
---|
5 | !!====================================================================== |
---|
6 | !! History : LIM ! 2006-02 (M. Vancoppenolle) Original code |
---|
7 | !! 3.2 ! 2009-07 (M. Vancoppenolle, Y. Aksenov, G. Madec) bug correction in smsw & sfx_dyn |
---|
8 | !! 4.0 ! 2011-02 (G. Madec) dynamical allocation |
---|
9 | !!---------------------------------------------------------------------- |
---|
10 | #if defined key_lim3 |
---|
11 | !!---------------------------------------------------------------------- |
---|
12 | !! 'key_lim3' LIM-3 sea-ice model |
---|
13 | !!---------------------------------------------------------------------- |
---|
14 | USE par_oce ! ocean parameters |
---|
15 | USE dom_oce ! ocean domain |
---|
16 | USE phycst ! physical constants (ocean directory) |
---|
17 | USE sbc_oce ! surface boundary condition: ocean fields |
---|
18 | USE thd_ice ! LIM thermodynamics |
---|
19 | USE ice ! LIM variables |
---|
20 | USE par_ice ! LIM parameters |
---|
21 | USE dom_ice ! LIM domain |
---|
22 | USE limthd_lac ! LIM |
---|
23 | USE limvar ! LIM |
---|
24 | USE in_out_manager ! I/O manager |
---|
25 | USE lbclnk ! lateral boundary condition - MPP exchanges |
---|
26 | USE lib_mpp ! MPP library |
---|
27 | USE wrk_nemo ! work arrays |
---|
28 | USE prtctl ! Print control |
---|
29 | ! Check budget (Rousset) |
---|
30 | USE iom ! I/O manager |
---|
31 | USE lib_fortran ! glob_sum |
---|
32 | USE limdiahsb |
---|
33 | USE timing ! Timing |
---|
34 | USE limcons ! conservation tests |
---|
35 | |
---|
36 | IMPLICIT NONE |
---|
37 | PRIVATE |
---|
38 | |
---|
39 | PUBLIC lim_itd_me ! called by ice_stp |
---|
40 | PUBLIC lim_itd_me_icestrength |
---|
41 | PUBLIC lim_itd_me_init |
---|
42 | PUBLIC lim_itd_me_zapsmall |
---|
43 | PUBLIC lim_itd_me_alloc ! called by iceini.F90 |
---|
44 | |
---|
45 | !----------------------------------------------------------------------- |
---|
46 | ! Variables shared among ridging subroutines |
---|
47 | !----------------------------------------------------------------------- |
---|
48 | REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: asum ! sum of total ice and open water area |
---|
49 | REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: aksum ! ratio of area removed to area ridged |
---|
50 | REAL(wp), ALLOCATABLE, DIMENSION(:,:,:) :: athorn ! participation function; fraction of ridging/ |
---|
51 | ! ! closing associated w/ category n |
---|
52 | REAL(wp), ALLOCATABLE, DIMENSION(:,:,:) :: hrmin ! minimum ridge thickness |
---|
53 | REAL(wp), ALLOCATABLE, DIMENSION(:,:,:) :: hrmax ! maximum ridge thickness |
---|
54 | REAL(wp), ALLOCATABLE, DIMENSION(:,:,:) :: hraft ! thickness of rafted ice |
---|
55 | REAL(wp), ALLOCATABLE, DIMENSION(:,:,:) :: krdg ! mean ridge thickness/thickness of ridging ice |
---|
56 | REAL(wp), ALLOCATABLE, DIMENSION(:,:,:) :: aridge ! participating ice ridging |
---|
57 | REAL(wp), ALLOCATABLE, DIMENSION(:,:,:) :: araft ! participating ice rafting |
---|
58 | |
---|
59 | REAL(wp), PARAMETER :: krdgmin = 1.1_wp ! min ridge thickness multiplier |
---|
60 | REAL(wp), PARAMETER :: kraft = 2.0_wp ! rafting multipliyer |
---|
61 | REAL(wp), PARAMETER :: kamax = 1.0_wp ! max of ice area authorized (clem: scheme is not stable if kamax <= 0.99) |
---|
62 | |
---|
63 | REAL(wp) :: Cp ! |
---|
64 | ! |
---|
65 | !----------------------------------------------------------------------- |
---|
66 | ! Ridging diagnostic arrays for history files |
---|
67 | !----------------------------------------------------------------------- |
---|
68 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: dardg1dt ! rate of fractional area loss by ridging ice (1/s) |
---|
69 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: dardg2dt ! rate of fractional area gain by new ridges (1/s) |
---|
70 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: dvirdgdt ! rate of ice volume ridged (m/s) |
---|
71 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: opening ! rate of opening due to divergence/shear (1/s) |
---|
72 | ! |
---|
73 | !!---------------------------------------------------------------------- |
---|
74 | !! NEMO/LIM3 3.3 , UCL - NEMO Consortium (2010) |
---|
75 | !! $Id$ |
---|
76 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
---|
77 | !!---------------------------------------------------------------------- |
---|
78 | CONTAINS |
---|
79 | |
---|
80 | INTEGER FUNCTION lim_itd_me_alloc() |
---|
81 | !!---------------------------------------------------------------------! |
---|
82 | !! *** ROUTINE lim_itd_me_alloc *** |
---|
83 | !!---------------------------------------------------------------------! |
---|
84 | ALLOCATE( & |
---|
85 | !* Variables shared among ridging subroutines |
---|
86 | & asum (jpi,jpj) , athorn(jpi,jpj,0:jpl) , & |
---|
87 | & aksum(jpi,jpj) , & |
---|
88 | ! |
---|
89 | & hrmin(jpi,jpj,jpl) , hraft(jpi,jpj,jpl) , aridge(jpi,jpj,jpl) , & |
---|
90 | & hrmax(jpi,jpj,jpl) , krdg (jpi,jpj,jpl) , araft (jpi,jpj,jpl) , & |
---|
91 | ! |
---|
92 | !* Ridging diagnostic arrays for history files |
---|
93 | & dardg1dt(jpi,jpj) , dardg2dt(jpi,jpj) , & |
---|
94 | & dvirdgdt(jpi,jpj) , opening(jpi,jpj) , STAT=lim_itd_me_alloc ) |
---|
95 | ! |
---|
96 | IF( lim_itd_me_alloc /= 0 ) CALL ctl_warn( 'lim_itd_me_alloc: failed to allocate arrays' ) |
---|
97 | ! |
---|
98 | END FUNCTION lim_itd_me_alloc |
---|
99 | |
---|
100 | |
---|
101 | SUBROUTINE lim_itd_me |
---|
102 | !!---------------------------------------------------------------------! |
---|
103 | !! *** ROUTINE lim_itd_me *** |
---|
104 | !! |
---|
105 | !! ** Purpose : computes the mechanical redistribution of ice thickness |
---|
106 | !! |
---|
107 | !! ** Method : Steps : |
---|
108 | !! 1) Thickness categories boundaries, ice / o.w. concentrations |
---|
109 | !! Ridge preparation |
---|
110 | !! 2) Dynamical inputs (closing rate, divu_adv, opning) |
---|
111 | !! 3) Ridging iteration |
---|
112 | !! 4) Ridging diagnostics |
---|
113 | !! 5) Heat, salt and freshwater fluxes |
---|
114 | !! 6) Compute increments of tate variables and come back to old values |
---|
115 | !! |
---|
116 | !! References : Flato, G. M., and W. D. Hibler III, 1995, JGR, 100, 18,611-18,626. |
---|
117 | !! Hibler, W. D. III, 1980, MWR, 108, 1943-1973, 1980. |
---|
118 | !! Rothrock, D. A., 1975: JGR, 80, 4514-4519. |
---|
119 | !! Thorndike et al., 1975, JGR, 80, 4501-4513. |
---|
120 | !! Bitz et al., JGR, 2001 |
---|
121 | !! Amundrud and Melling, JGR 2005 |
---|
122 | !! Babko et al., JGR 2002 |
---|
123 | !! |
---|
124 | !! This routine is based on CICE code and authors William H. Lipscomb, |
---|
125 | !! and Elizabeth C. Hunke, LANL are gratefully acknowledged |
---|
126 | !!--------------------------------------------------------------------! |
---|
127 | INTEGER :: ji, jj, jk, jl ! dummy loop index |
---|
128 | INTEGER :: niter, nitermax = 20 ! local integer |
---|
129 | LOGICAL :: asum_error ! flag for asum .ne. 1 |
---|
130 | INTEGER :: iterate_ridging ! if true, repeat the ridging |
---|
131 | REAL(wp) :: w1, tmpfac ! local scalar |
---|
132 | CHARACTER (len = 15) :: fieldid |
---|
133 | REAL(wp), POINTER, DIMENSION(:,:) :: closing_net ! net rate at which area is removed (1/s) |
---|
134 | ! (ridging ice area - area of new ridges) / dt |
---|
135 | REAL(wp), POINTER, DIMENSION(:,:) :: divu_adv ! divu as implied by transport scheme (1/s) |
---|
136 | REAL(wp), POINTER, DIMENSION(:,:) :: opning ! rate of opening due to divergence/shear |
---|
137 | REAL(wp), POINTER, DIMENSION(:,:) :: closing_gross ! rate at which area removed, not counting area of new ridges |
---|
138 | REAL(wp), POINTER, DIMENSION(:,:) :: msnow_mlt ! mass of snow added to ocean (kg m-2) |
---|
139 | REAL(wp), POINTER, DIMENSION(:,:) :: esnow_mlt ! energy needed to melt snow in ocean (J m-2) |
---|
140 | REAL(wp), POINTER, DIMENSION(:,:) :: vt_i_init, vt_i_final ! ice volume summed over categories |
---|
141 | ! |
---|
142 | REAL(wp) :: zvi_b, zsmv_b, zei_b, zfs_b, zfw_b, zft_b |
---|
143 | !!----------------------------------------------------------------------------- |
---|
144 | IF( nn_timing == 1 ) CALL timing_start('limitd_me') |
---|
145 | |
---|
146 | CALL wrk_alloc( jpi, jpj, closing_net, divu_adv, opning, closing_gross, msnow_mlt, esnow_mlt, vt_i_init, vt_i_final ) |
---|
147 | |
---|
148 | IF(ln_ctl) THEN |
---|
149 | CALL prt_ctl(tab2d_1=ato_i , clinfo1=' lim_itd_me: ato_i : ', tab2d_2=at_i , clinfo2=' at_i : ') |
---|
150 | CALL prt_ctl(tab2d_1=divu_i, clinfo1=' lim_itd_me: divu_i : ', tab2d_2=delta_i, clinfo2=' delta_i : ') |
---|
151 | ENDIF |
---|
152 | |
---|
153 | IF( ln_limdyn ) THEN ! Start ridging and rafting ! |
---|
154 | |
---|
155 | ! conservation test |
---|
156 | IF( ln_limdiahsb ) CALL lim_cons_hsm(0, 'limitd_me', zvi_b, zsmv_b, zei_b, zfw_b, zfs_b, zft_b) |
---|
157 | |
---|
158 | !-----------------------------------------------------------------------------! |
---|
159 | ! 1) Thickness categories boundaries, ice / o.w. concentrations, init_ons |
---|
160 | !-----------------------------------------------------------------------------! |
---|
161 | Cp = 0.5 * grav * (rau0-rhoic) * rhoic / rau0 ! proport const for PE |
---|
162 | ! |
---|
163 | CALL lim_itd_me_ridgeprep ! prepare ridging |
---|
164 | ! |
---|
165 | IF( con_i) CALL lim_column_sum( jpl, v_i, vt_i_init ) ! conservation check |
---|
166 | |
---|
167 | DO jj = 1, jpj ! Initialize arrays. |
---|
168 | DO ji = 1, jpi |
---|
169 | msnow_mlt(ji,jj) = 0._wp |
---|
170 | esnow_mlt(ji,jj) = 0._wp |
---|
171 | dardg1dt (ji,jj) = 0._wp |
---|
172 | dardg2dt (ji,jj) = 0._wp |
---|
173 | dvirdgdt (ji,jj) = 0._wp |
---|
174 | opening (ji,jj) = 0._wp |
---|
175 | |
---|
176 | !-----------------------------------------------------------------------------! |
---|
177 | ! 2) Dynamical inputs (closing rate, divu_adv, opning) |
---|
178 | !-----------------------------------------------------------------------------! |
---|
179 | ! |
---|
180 | ! 2.1 closing_net |
---|
181 | !----------------- |
---|
182 | ! Compute the net rate of closing due to convergence |
---|
183 | ! and shear, based on Flato and Hibler (1995). |
---|
184 | ! |
---|
185 | ! The energy dissipation rate is equal to the net closing rate |
---|
186 | ! times the ice strength. |
---|
187 | ! |
---|
188 | ! NOTE: The NET closing rate is equal to the rate that open water |
---|
189 | ! area is removed, plus the rate at which ice area is removed by |
---|
190 | ! ridging, minus the rate at which area is added in new ridges. |
---|
191 | ! The GROSS closing rate is equal to the first two terms (open |
---|
192 | ! water closing and thin ice ridging) without the third term |
---|
193 | ! (thick, newly ridged ice). |
---|
194 | |
---|
195 | closing_net(ji,jj) = Cs * 0.5 * ( Delta_i(ji,jj) - ABS( divu_i(ji,jj) ) ) - MIN( divu_i(ji,jj), 0._wp ) |
---|
196 | |
---|
197 | ! 2.2 divu_adv |
---|
198 | !-------------- |
---|
199 | ! Compute divu_adv, the divergence rate given by the transport/ |
---|
200 | ! advection scheme, which may not be equal to divu as computed |
---|
201 | ! from the velocity field. |
---|
202 | ! |
---|
203 | ! If divu_adv < 0, make sure the closing rate is large enough |
---|
204 | ! to give asum = 1.0 after ridging. |
---|
205 | |
---|
206 | divu_adv(ji,jj) = ( kamax - asum(ji,jj) ) * r1_rdtice ! asum found in ridgeprep |
---|
207 | |
---|
208 | IF( divu_adv(ji,jj) < 0._wp ) closing_net(ji,jj) = MAX( closing_net(ji,jj), -divu_adv(ji,jj) ) |
---|
209 | |
---|
210 | ! 2.3 opning |
---|
211 | !------------ |
---|
212 | ! Compute the (non-negative) opening rate that will give asum = 1.0 after ridging. |
---|
213 | opning(ji,jj) = closing_net(ji,jj) + divu_adv(ji,jj) |
---|
214 | END DO |
---|
215 | END DO |
---|
216 | |
---|
217 | !-----------------------------------------------------------------------------! |
---|
218 | ! 3) Ridging iteration |
---|
219 | !-----------------------------------------------------------------------------! |
---|
220 | niter = 1 ! iteration counter |
---|
221 | iterate_ridging = 1 |
---|
222 | |
---|
223 | DO WHILE ( iterate_ridging > 0 .AND. niter < nitermax ) |
---|
224 | |
---|
225 | DO jj = 1, jpj |
---|
226 | DO ji = 1, jpi |
---|
227 | |
---|
228 | ! 3.2 closing_gross |
---|
229 | !-----------------------------------------------------------------------------! |
---|
230 | ! Based on the ITD of ridging and ridged ice, convert the net |
---|
231 | ! closing rate to a gross closing rate. |
---|
232 | ! NOTE: 0 < aksum <= 1 |
---|
233 | closing_gross(ji,jj) = closing_net(ji,jj) / aksum(ji,jj) |
---|
234 | |
---|
235 | ! correction to closing rate and opening if closing rate is excessive |
---|
236 | !--------------------------------------------------------------------- |
---|
237 | ! Reduce the closing rate if more than 100% of the open water |
---|
238 | ! would be removed. Reduce the opening rate proportionately. |
---|
239 | IF ( ato_i(ji,jj) .GT. epsi10 .AND. athorn(ji,jj,0) .GT. 0.0 ) THEN |
---|
240 | w1 = athorn(ji,jj,0) * closing_gross(ji,jj) * rdt_ice |
---|
241 | IF ( w1 .GT. ato_i(ji,jj)) THEN |
---|
242 | tmpfac = ato_i(ji,jj) / w1 |
---|
243 | closing_gross(ji,jj) = closing_gross(ji,jj) * tmpfac |
---|
244 | opning(ji,jj) = opning(ji,jj) * tmpfac |
---|
245 | ENDIF !w1 |
---|
246 | ENDIF !at0i and athorn |
---|
247 | |
---|
248 | END DO ! ji |
---|
249 | END DO ! jj |
---|
250 | |
---|
251 | ! correction to closing rate / opening if excessive ice removal |
---|
252 | !--------------------------------------------------------------- |
---|
253 | ! Reduce the closing rate if more than 100% of any ice category |
---|
254 | ! would be removed. Reduce the opening rate proportionately. |
---|
255 | |
---|
256 | DO jl = 1, jpl |
---|
257 | DO jj = 1, jpj |
---|
258 | DO ji = 1, jpi |
---|
259 | IF ( a_i(ji,jj,jl) > epsi10 .AND. athorn(ji,jj,jl) > 0._wp )THEN |
---|
260 | w1 = athorn(ji,jj,jl) * closing_gross(ji,jj) * rdt_ice |
---|
261 | IF ( w1 > a_i(ji,jj,jl) ) THEN |
---|
262 | tmpfac = a_i(ji,jj,jl) / w1 |
---|
263 | closing_gross(ji,jj) = closing_gross(ji,jj) * tmpfac |
---|
264 | opning (ji,jj) = opning (ji,jj) * tmpfac |
---|
265 | ENDIF |
---|
266 | ENDIF |
---|
267 | END DO !ji |
---|
268 | END DO ! jj |
---|
269 | END DO !jl |
---|
270 | |
---|
271 | ! 3.3 Redistribute area, volume, and energy. |
---|
272 | !-----------------------------------------------------------------------------! |
---|
273 | |
---|
274 | CALL lim_itd_me_ridgeshift( opning, closing_gross, msnow_mlt, esnow_mlt ) |
---|
275 | |
---|
276 | ! 3.4 Compute total area of ice plus open water after ridging. |
---|
277 | !-----------------------------------------------------------------------------! |
---|
278 | |
---|
279 | CALL lim_itd_me_asumr |
---|
280 | |
---|
281 | ! 3.5 Do we keep on iterating ??? |
---|
282 | !-----------------------------------------------------------------------------! |
---|
283 | ! Check whether asum = 1. If not (because the closing and opening |
---|
284 | ! rates were reduced above), ridge again with new rates. |
---|
285 | |
---|
286 | iterate_ridging = 0 |
---|
287 | |
---|
288 | DO jj = 1, jpj |
---|
289 | DO ji = 1, jpi |
---|
290 | IF (ABS(asum(ji,jj) - kamax ) .LT. epsi10) THEN |
---|
291 | closing_net(ji,jj) = 0._wp |
---|
292 | opning (ji,jj) = 0._wp |
---|
293 | ELSE |
---|
294 | iterate_ridging = 1 |
---|
295 | divu_adv (ji,jj) = ( kamax - asum(ji,jj) ) * r1_rdtice |
---|
296 | closing_net(ji,jj) = MAX( 0._wp, -divu_adv(ji,jj) ) |
---|
297 | opning (ji,jj) = MAX( 0._wp, divu_adv(ji,jj) ) |
---|
298 | ENDIF |
---|
299 | END DO |
---|
300 | END DO |
---|
301 | |
---|
302 | IF( lk_mpp ) CALL mpp_max( iterate_ridging ) |
---|
303 | |
---|
304 | ! Repeat if necessary. |
---|
305 | ! NOTE: If strength smoothing is turned on, the ridging must be |
---|
306 | ! iterated globally because of the boundary update in the |
---|
307 | ! smoothing. |
---|
308 | |
---|
309 | niter = niter + 1 |
---|
310 | |
---|
311 | IF( iterate_ridging == 1 ) THEN |
---|
312 | IF( niter > nitermax ) THEN |
---|
313 | WRITE(numout,*) ' ALERTE : non-converging ridging scheme ' |
---|
314 | WRITE(numout,*) ' niter, iterate_ridging ', niter, iterate_ridging |
---|
315 | ENDIF |
---|
316 | CALL lim_itd_me_ridgeprep |
---|
317 | ENDIF |
---|
318 | |
---|
319 | END DO !! on the do while over iter |
---|
320 | |
---|
321 | !-----------------------------------------------------------------------------! |
---|
322 | ! 4) Ridging diagnostics |
---|
323 | !-----------------------------------------------------------------------------! |
---|
324 | ! Convert ridging rate diagnostics to correct units. |
---|
325 | ! Update fresh water and heat fluxes due to snow melt. |
---|
326 | |
---|
327 | asum_error = .false. |
---|
328 | |
---|
329 | DO jj = 1, jpj |
---|
330 | DO ji = 1, jpi |
---|
331 | |
---|
332 | IF(ABS(asum(ji,jj) - kamax) > epsi10 ) asum_error = .true. |
---|
333 | |
---|
334 | dardg1dt(ji,jj) = dardg1dt(ji,jj) * r1_rdtice |
---|
335 | dardg2dt(ji,jj) = dardg2dt(ji,jj) * r1_rdtice |
---|
336 | dvirdgdt(ji,jj) = dvirdgdt(ji,jj) * r1_rdtice |
---|
337 | opening (ji,jj) = opening (ji,jj) * r1_rdtice |
---|
338 | |
---|
339 | !-----------------------------------------------------------------------------! |
---|
340 | ! 5) Heat, salt and freshwater fluxes |
---|
341 | !-----------------------------------------------------------------------------! |
---|
342 | wfx_snw(ji,jj) = wfx_snw(ji,jj) + msnow_mlt(ji,jj) * r1_rdtice ! fresh water source for ocean |
---|
343 | hfx_dyn(ji,jj) = hfx_dyn(ji,jj) + esnow_mlt(ji,jj) * unit_fac / area(ji,jj) * r1_rdtice ! heat sink for ocean (<0, W.m-2) |
---|
344 | |
---|
345 | END DO |
---|
346 | END DO |
---|
347 | |
---|
348 | ! Check if there is a ridging error |
---|
349 | DO jj = 1, jpj |
---|
350 | DO ji = 1, jpi |
---|
351 | IF( ABS( asum(ji,jj) - kamax) > epsi10 ) THEN ! there is a bug |
---|
352 | WRITE(numout,*) ' ' |
---|
353 | WRITE(numout,*) ' ALERTE : Ridging error: total area = ', asum(ji,jj) |
---|
354 | WRITE(numout,*) ' limitd_me ' |
---|
355 | WRITE(numout,*) ' POINT : ', ji, jj |
---|
356 | WRITE(numout,*) ' jpl, a_i, athorn ' |
---|
357 | WRITE(numout,*) 0, ato_i(ji,jj), athorn(ji,jj,0) |
---|
358 | DO jl = 1, jpl |
---|
359 | WRITE(numout,*) jl, a_i(ji,jj,jl), athorn(ji,jj,jl) |
---|
360 | END DO |
---|
361 | ENDIF ! asum |
---|
362 | |
---|
363 | END DO !ji |
---|
364 | END DO !jj |
---|
365 | |
---|
366 | ! Conservation check |
---|
367 | IF ( con_i ) THEN |
---|
368 | CALL lim_column_sum (jpl, v_i, vt_i_final) |
---|
369 | fieldid = ' v_i : limitd_me ' |
---|
370 | CALL lim_cons_check (vt_i_init, vt_i_final, 1.0e-6, fieldid) |
---|
371 | ENDIF |
---|
372 | |
---|
373 | !-----------------------------------------------------------------------------! |
---|
374 | ! 6) Updating state variables and trend terms (done in limupdate) |
---|
375 | !-----------------------------------------------------------------------------! |
---|
376 | CALL lim_var_glo2eqv |
---|
377 | CALL lim_itd_me_zapsmall |
---|
378 | |
---|
379 | |
---|
380 | IF(ln_ctl) THEN ! Control print |
---|
381 | CALL prt_ctl_info(' ') |
---|
382 | CALL prt_ctl_info(' - Cell values : ') |
---|
383 | CALL prt_ctl_info(' ~~~~~~~~~~~~~ ') |
---|
384 | CALL prt_ctl(tab2d_1=area , clinfo1=' lim_itd_me : cell area :') |
---|
385 | CALL prt_ctl(tab2d_1=at_i , clinfo1=' lim_itd_me : at_i :') |
---|
386 | CALL prt_ctl(tab2d_1=vt_i , clinfo1=' lim_itd_me : vt_i :') |
---|
387 | CALL prt_ctl(tab2d_1=vt_s , clinfo1=' lim_itd_me : vt_s :') |
---|
388 | DO jl = 1, jpl |
---|
389 | CALL prt_ctl_info(' ') |
---|
390 | CALL prt_ctl_info(' - Category : ', ivar1=jl) |
---|
391 | CALL prt_ctl_info(' ~~~~~~~~~~') |
---|
392 | CALL prt_ctl(tab2d_1=a_i (:,:,jl) , clinfo1= ' lim_itd_me : a_i : ') |
---|
393 | CALL prt_ctl(tab2d_1=ht_i (:,:,jl) , clinfo1= ' lim_itd_me : ht_i : ') |
---|
394 | CALL prt_ctl(tab2d_1=ht_s (:,:,jl) , clinfo1= ' lim_itd_me : ht_s : ') |
---|
395 | CALL prt_ctl(tab2d_1=v_i (:,:,jl) , clinfo1= ' lim_itd_me : v_i : ') |
---|
396 | CALL prt_ctl(tab2d_1=v_s (:,:,jl) , clinfo1= ' lim_itd_me : v_s : ') |
---|
397 | CALL prt_ctl(tab2d_1=e_s (:,:,1,jl) , clinfo1= ' lim_itd_me : e_s : ') |
---|
398 | CALL prt_ctl(tab2d_1=t_su (:,:,jl) , clinfo1= ' lim_itd_me : t_su : ') |
---|
399 | CALL prt_ctl(tab2d_1=t_s (:,:,1,jl) , clinfo1= ' lim_itd_me : t_snow : ') |
---|
400 | CALL prt_ctl(tab2d_1=sm_i (:,:,jl) , clinfo1= ' lim_itd_me : sm_i : ') |
---|
401 | CALL prt_ctl(tab2d_1=smv_i (:,:,jl) , clinfo1= ' lim_itd_me : smv_i : ') |
---|
402 | DO jk = 1, nlay_i |
---|
403 | CALL prt_ctl_info(' ') |
---|
404 | CALL prt_ctl_info(' - Layer : ', ivar1=jk) |
---|
405 | CALL prt_ctl_info(' ~~~~~~~') |
---|
406 | CALL prt_ctl(tab2d_1=t_i(:,:,jk,jl) , clinfo1= ' lim_itd_me : t_i : ') |
---|
407 | CALL prt_ctl(tab2d_1=e_i(:,:,jk,jl) , clinfo1= ' lim_itd_me : e_i : ') |
---|
408 | END DO |
---|
409 | END DO |
---|
410 | ENDIF |
---|
411 | |
---|
412 | ! conservation test |
---|
413 | IF( ln_limdiahsb ) CALL lim_cons_hsm(1, 'limitd_me', zvi_b, zsmv_b, zei_b, zfw_b, zfs_b, zft_b) |
---|
414 | |
---|
415 | ENDIF ! ln_limdyn=.true. |
---|
416 | ! |
---|
417 | CALL wrk_dealloc( jpi, jpj, closing_net, divu_adv, opning, closing_gross, msnow_mlt, esnow_mlt, vt_i_init, vt_i_final ) |
---|
418 | ! |
---|
419 | IF( nn_timing == 1 ) CALL timing_stop('limitd_me') |
---|
420 | END SUBROUTINE lim_itd_me |
---|
421 | |
---|
422 | |
---|
423 | SUBROUTINE lim_itd_me_icestrength( kstrngth ) |
---|
424 | !!---------------------------------------------------------------------- |
---|
425 | !! *** ROUTINE lim_itd_me_icestrength *** |
---|
426 | !! |
---|
427 | !! ** Purpose : computes ice strength used in dynamics routines of ice thickness |
---|
428 | !! |
---|
429 | !! ** Method : Compute the strength of the ice pack, defined as the energy (J m-2) |
---|
430 | !! dissipated per unit area removed from the ice pack under compression, |
---|
431 | !! and assumed proportional to the change in potential energy caused |
---|
432 | !! by ridging. Note that only Hibler's formulation is stable and that |
---|
433 | !! ice strength has to be smoothed |
---|
434 | !! |
---|
435 | !! ** Inputs / Ouputs : kstrngth (what kind of ice strength we are using) |
---|
436 | !!---------------------------------------------------------------------- |
---|
437 | INTEGER, INTENT(in) :: kstrngth ! = 1 for Rothrock formulation, 0 for Hibler (1979) |
---|
438 | |
---|
439 | INTEGER :: ji,jj, jl ! dummy loop indices |
---|
440 | INTEGER :: ksmooth ! smoothing the resistance to deformation |
---|
441 | INTEGER :: numts_rm ! number of time steps for the P smoothing |
---|
442 | REAL(wp) :: hi, zw1, zp, zdummy, zzc, z1_3 ! local scalars |
---|
443 | REAL(wp), POINTER, DIMENSION(:,:) :: zworka ! temporary array used here |
---|
444 | !!---------------------------------------------------------------------- |
---|
445 | |
---|
446 | CALL wrk_alloc( jpi, jpj, zworka ) |
---|
447 | |
---|
448 | !------------------------------------------------------------------------------! |
---|
449 | ! 1) Initialize |
---|
450 | !------------------------------------------------------------------------------! |
---|
451 | strength(:,:) = 0._wp |
---|
452 | |
---|
453 | !------------------------------------------------------------------------------! |
---|
454 | ! 2) Compute thickness distribution of ridging and ridged ice |
---|
455 | !------------------------------------------------------------------------------! |
---|
456 | CALL lim_itd_me_ridgeprep |
---|
457 | |
---|
458 | !------------------------------------------------------------------------------! |
---|
459 | ! 3) Rothrock(1975)'s method |
---|
460 | !------------------------------------------------------------------------------! |
---|
461 | IF( kstrngth == 1 ) THEN |
---|
462 | z1_3 = 1._wp / 3._wp |
---|
463 | DO jl = 1, jpl |
---|
464 | DO jj= 1, jpj |
---|
465 | DO ji = 1, jpi |
---|
466 | ! |
---|
467 | IF( a_i(ji,jj,jl) > epsi10 .AND. athorn(ji,jj,jl) > 0._wp ) THEN |
---|
468 | hi = v_i(ji,jj,jl) / a_i(ji,jj,jl) |
---|
469 | !---------------------------- |
---|
470 | ! PE loss from deforming ice |
---|
471 | !---------------------------- |
---|
472 | strength(ji,jj) = strength(ji,jj) - athorn(ji,jj,jl) * hi * hi |
---|
473 | |
---|
474 | !-------------------------- |
---|
475 | ! PE gain from rafting ice |
---|
476 | !-------------------------- |
---|
477 | strength(ji,jj) = strength(ji,jj) + 2._wp * araft(ji,jj,jl) * hi * hi |
---|
478 | |
---|
479 | !---------------------------- |
---|
480 | ! PE gain from ridging ice |
---|
481 | !---------------------------- |
---|
482 | strength(ji,jj) = strength(ji,jj) + aridge(ji,jj,jl)/krdg(ji,jj,jl) & |
---|
483 | * z1_3 * (hrmax(ji,jj,jl)**3 - hrmin(ji,jj,jl)**3) / ( hrmax(ji,jj,jl)-hrmin(ji,jj,jl) ) |
---|
484 | !!gm Optimization: (a**3-b**3)/(a-b) = a*a+ab+b*b ==> less costly operations even if a**3 is replaced by a*a*a... |
---|
485 | ENDIF ! aicen > epsi10 |
---|
486 | ! |
---|
487 | END DO ! ji |
---|
488 | END DO !jj |
---|
489 | END DO !jl |
---|
490 | |
---|
491 | zzc = Cf * Cp ! where Cp = (g/2)*(rhow-rhoi)*(rhoi/rhow) and Cf accounts for frictional dissipation |
---|
492 | strength(:,:) = zzc * strength(:,:) / aksum(:,:) |
---|
493 | |
---|
494 | ksmooth = 1 |
---|
495 | |
---|
496 | !------------------------------------------------------------------------------! |
---|
497 | ! 4) Hibler (1979)' method |
---|
498 | !------------------------------------------------------------------------------! |
---|
499 | ELSE ! kstrngth ne 1: Hibler (1979) form |
---|
500 | ! |
---|
501 | strength(:,:) = Pstar * vt_i(:,:) * EXP( - C_rhg * ( 1._wp - at_i(:,:) ) ) |
---|
502 | ! |
---|
503 | ksmooth = 1 |
---|
504 | ! |
---|
505 | ENDIF ! kstrngth |
---|
506 | |
---|
507 | ! |
---|
508 | !------------------------------------------------------------------------------! |
---|
509 | ! 5) Impact of brine volume |
---|
510 | !------------------------------------------------------------------------------! |
---|
511 | ! CAN BE REMOVED |
---|
512 | ! |
---|
513 | IF ( brinstren_swi == 1 ) THEN |
---|
514 | |
---|
515 | DO jj = 1, jpj |
---|
516 | DO ji = 1, jpi |
---|
517 | IF ( bv_i(ji,jj) .GT. 0.0 ) THEN |
---|
518 | zdummy = MIN ( bv_i(ji,jj), 0.10 ) * MIN( bv_i(ji,jj), 0.10 ) |
---|
519 | ELSE |
---|
520 | zdummy = 0.0 |
---|
521 | ENDIF |
---|
522 | strength(ji,jj) = strength(ji,jj) * exp(-5.88*SQRT(MAX(bv_i(ji,jj),0.0))) |
---|
523 | END DO ! j |
---|
524 | END DO ! i |
---|
525 | |
---|
526 | ENDIF |
---|
527 | |
---|
528 | ! |
---|
529 | !------------------------------------------------------------------------------! |
---|
530 | ! 6) Smoothing ice strength |
---|
531 | !------------------------------------------------------------------------------! |
---|
532 | ! |
---|
533 | !------------------- |
---|
534 | ! Spatial smoothing |
---|
535 | !------------------- |
---|
536 | IF ( ksmooth == 1 ) THEN |
---|
537 | |
---|
538 | CALL lbc_lnk( strength, 'T', 1. ) |
---|
539 | |
---|
540 | DO jj = 2, jpj - 1 |
---|
541 | DO ji = 2, jpi - 1 |
---|
542 | IF ( ( asum(ji,jj) - ato_i(ji,jj) ) .GT. epsi10) THEN ! ice is |
---|
543 | ! present |
---|
544 | zworka(ji,jj) = 4.0 * strength(ji,jj) & |
---|
545 | & + strength(ji-1,jj) * tms(ji-1,jj) & |
---|
546 | & + strength(ji+1,jj) * tms(ji+1,jj) & |
---|
547 | & + strength(ji,jj-1) * tms(ji,jj-1) & |
---|
548 | & + strength(ji,jj+1) * tms(ji,jj+1) |
---|
549 | |
---|
550 | zw1 = 4.0 + tms(ji-1,jj) + tms(ji+1,jj) + tms(ji,jj-1) + tms(ji,jj+1) |
---|
551 | zworka(ji,jj) = zworka(ji,jj) / zw1 |
---|
552 | ELSE |
---|
553 | zworka(ji,jj) = 0._wp |
---|
554 | ENDIF |
---|
555 | END DO |
---|
556 | END DO |
---|
557 | |
---|
558 | DO jj = 2, jpj - 1 |
---|
559 | DO ji = 2, jpi - 1 |
---|
560 | strength(ji,jj) = zworka(ji,jj) |
---|
561 | END DO |
---|
562 | END DO |
---|
563 | CALL lbc_lnk( strength, 'T', 1. ) |
---|
564 | |
---|
565 | ENDIF ! ksmooth |
---|
566 | |
---|
567 | !-------------------- |
---|
568 | ! Temporal smoothing |
---|
569 | !-------------------- |
---|
570 | IF ( numit == nit000 + nn_fsbc - 1 ) THEN |
---|
571 | strp1(:,:) = 0.0 |
---|
572 | strp2(:,:) = 0.0 |
---|
573 | ENDIF |
---|
574 | |
---|
575 | IF ( ksmooth == 2 ) THEN |
---|
576 | |
---|
577 | |
---|
578 | CALL lbc_lnk( strength, 'T', 1. ) |
---|
579 | |
---|
580 | DO jj = 1, jpj - 1 |
---|
581 | DO ji = 1, jpi - 1 |
---|
582 | IF ( ( asum(ji,jj) - ato_i(ji,jj) ) .GT. epsi10) THEN ! ice is present |
---|
583 | numts_rm = 1 ! number of time steps for the running mean |
---|
584 | IF ( strp1(ji,jj) .GT. 0.0 ) numts_rm = numts_rm + 1 |
---|
585 | IF ( strp2(ji,jj) .GT. 0.0 ) numts_rm = numts_rm + 1 |
---|
586 | zp = ( strength(ji,jj) + strp1(ji,jj) + strp2(ji,jj) ) / numts_rm |
---|
587 | strp2(ji,jj) = strp1(ji,jj) |
---|
588 | strp1(ji,jj) = strength(ji,jj) |
---|
589 | strength(ji,jj) = zp |
---|
590 | |
---|
591 | ENDIF |
---|
592 | END DO |
---|
593 | END DO |
---|
594 | |
---|
595 | ENDIF ! ksmooth |
---|
596 | |
---|
597 | CALL lbc_lnk( strength, 'T', 1. ) ! Boundary conditions |
---|
598 | |
---|
599 | CALL wrk_dealloc( jpi, jpj, zworka ) |
---|
600 | ! |
---|
601 | END SUBROUTINE lim_itd_me_icestrength |
---|
602 | |
---|
603 | |
---|
604 | SUBROUTINE lim_itd_me_ridgeprep |
---|
605 | !!---------------------------------------------------------------------! |
---|
606 | !! *** ROUTINE lim_itd_me_ridgeprep *** |
---|
607 | !! |
---|
608 | !! ** Purpose : preparation for ridging and strength calculations |
---|
609 | !! |
---|
610 | !! ** Method : Compute the thickness distribution of the ice and open water |
---|
611 | !! participating in ridging and of the resulting ridges. |
---|
612 | !!---------------------------------------------------------------------! |
---|
613 | INTEGER :: ji,jj, jl ! dummy loop indices |
---|
614 | REAL(wp) :: Gstari, astari, hi, hrmean, zdummy ! local scalar |
---|
615 | REAL(wp), POINTER, DIMENSION(:,:) :: zworka ! temporary array used here |
---|
616 | REAL(wp), POINTER, DIMENSION(:,:,:) :: Gsum ! Gsum(n) = sum of areas in categories 0 to n |
---|
617 | !------------------------------------------------------------------------------! |
---|
618 | |
---|
619 | CALL wrk_alloc( jpi,jpj, zworka ) |
---|
620 | CALL wrk_alloc( jpi,jpj,jpl+2, Gsum, kkstart = -1 ) |
---|
621 | |
---|
622 | Gstari = 1.0/Gstar |
---|
623 | astari = 1.0/astar |
---|
624 | aksum(:,:) = 0.0 |
---|
625 | athorn(:,:,:) = 0.0 |
---|
626 | aridge(:,:,:) = 0.0 |
---|
627 | araft (:,:,:) = 0.0 |
---|
628 | hrmin(:,:,:) = 0.0 |
---|
629 | hrmax(:,:,:) = 0.0 |
---|
630 | hraft(:,:,:) = 0.0 |
---|
631 | krdg (:,:,:) = 1.0 |
---|
632 | |
---|
633 | ! ! Zero out categories with very small areas |
---|
634 | CALL lim_itd_me_zapsmall |
---|
635 | |
---|
636 | !------------------------------------------------------------------------------! |
---|
637 | ! 1) Participation function |
---|
638 | !------------------------------------------------------------------------------! |
---|
639 | |
---|
640 | ! Compute total area of ice plus open water. |
---|
641 | CALL lim_itd_me_asumr |
---|
642 | ! This is in general not equal to one |
---|
643 | ! because of divergence during transport |
---|
644 | |
---|
645 | ! Compute cumulative thickness distribution function |
---|
646 | ! Compute the cumulative thickness distribution function Gsum, |
---|
647 | ! where Gsum(n) is the fractional area in categories 0 to n. |
---|
648 | ! initial value (in h = 0) equals open water area |
---|
649 | |
---|
650 | Gsum(:,:,-1) = 0._wp |
---|
651 | |
---|
652 | DO jj = 1, jpj |
---|
653 | DO ji = 1, jpi |
---|
654 | IF( ato_i(ji,jj) > epsi10 ) THEN ; Gsum(ji,jj,0) = ato_i(ji,jj) |
---|
655 | ELSE ; Gsum(ji,jj,0) = 0._wp |
---|
656 | ENDIF |
---|
657 | END DO |
---|
658 | END DO |
---|
659 | |
---|
660 | ! for each value of h, you have to add ice concentration then |
---|
661 | DO jl = 1, jpl |
---|
662 | DO jj = 1, jpj |
---|
663 | DO ji = 1, jpi |
---|
664 | IF( a_i(ji,jj,jl) .GT. epsi10 ) THEN ; Gsum(ji,jj,jl) = Gsum(ji,jj,jl-1) + a_i(ji,jj,jl) |
---|
665 | ELSE ; Gsum(ji,jj,jl) = Gsum(ji,jj,jl-1) |
---|
666 | ENDIF |
---|
667 | END DO |
---|
668 | END DO |
---|
669 | END DO |
---|
670 | |
---|
671 | ! Normalize the cumulative distribution to 1 |
---|
672 | zworka(:,:) = 1._wp / Gsum(:,:,jpl) |
---|
673 | DO jl = 0, jpl |
---|
674 | Gsum(:,:,jl) = Gsum(:,:,jl) * zworka(:,:) |
---|
675 | END DO |
---|
676 | |
---|
677 | ! 1.3 Compute participation function a(h) = b(h).g(h) (athorn) |
---|
678 | !-------------------------------------------------------------------------------------------------- |
---|
679 | ! Compute the participation function athorn; this is analogous to |
---|
680 | ! a(h) = b(h)g(h) as defined in Thorndike et al. (1975). |
---|
681 | ! area lost from category n due to ridging/closing |
---|
682 | ! athorn(n) = total area lost due to ridging/closing |
---|
683 | ! assume b(h) = (2/Gstar) * (1 - G(h)/Gstar). |
---|
684 | ! |
---|
685 | ! The expressions for athorn are found by integrating b(h)g(h) between |
---|
686 | ! the category boundaries. |
---|
687 | !----------------------------------------------------------------- |
---|
688 | |
---|
689 | IF( partfun_swi == 0 ) THEN !--- Linear formulation (Thorndike et al., 1975) |
---|
690 | DO jl = 0, jpl |
---|
691 | DO jj = 1, jpj |
---|
692 | DO ji = 1, jpi |
---|
693 | IF( Gsum(ji,jj,jl) < Gstar) THEN |
---|
694 | athorn(ji,jj,jl) = Gstari * (Gsum(ji,jj,jl)-Gsum(ji,jj,jl-1)) * & |
---|
695 | (2.0 - (Gsum(ji,jj,jl-1)+Gsum(ji,jj,jl))*Gstari) |
---|
696 | ELSEIF (Gsum(ji,jj,jl-1) < Gstar) THEN |
---|
697 | athorn(ji,jj,jl) = Gstari * (Gstar-Gsum(ji,jj,jl-1)) * & |
---|
698 | (2.0 - (Gsum(ji,jj,jl-1)+Gstar)*Gstari) |
---|
699 | ELSE |
---|
700 | athorn(ji,jj,jl) = 0.0 |
---|
701 | ENDIF |
---|
702 | END DO ! ji |
---|
703 | END DO ! jj |
---|
704 | END DO ! jl |
---|
705 | |
---|
706 | ELSE !--- Exponential, more stable formulation (Lipscomb et al, 2007) |
---|
707 | ! |
---|
708 | zdummy = 1._wp / ( 1._wp - EXP(-astari) ) ! precompute exponential terms using Gsum as a work array |
---|
709 | |
---|
710 | DO jl = -1, jpl |
---|
711 | Gsum(:,:,jl) = EXP( -Gsum(:,:,jl) * astari ) * zdummy |
---|
712 | END DO !jl |
---|
713 | DO jl = 0, jpl |
---|
714 | athorn(:,:,jl) = Gsum(:,:,jl-1) - Gsum(:,:,jl) |
---|
715 | END DO |
---|
716 | ! |
---|
717 | ENDIF ! partfun_swi |
---|
718 | |
---|
719 | IF( raft_swi == 1 ) THEN ! Ridging and rafting ice participation functions |
---|
720 | ! |
---|
721 | DO jl = 1, jpl |
---|
722 | DO jj = 1, jpj |
---|
723 | DO ji = 1, jpi |
---|
724 | IF ( athorn(ji,jj,jl) .GT. 0._wp ) THEN |
---|
725 | !!gm TANH( -X ) = - TANH( X ) so can be computed only 1 time.... |
---|
726 | aridge(ji,jj,jl) = ( TANH ( Craft * ( ht_i(ji,jj,jl) - hparmeter ) ) + 1.0 ) * 0.5 * athorn(ji,jj,jl) |
---|
727 | araft (ji,jj,jl) = ( TANH ( -Craft * ( ht_i(ji,jj,jl) - hparmeter ) ) + 1.0 ) * 0.5 * athorn(ji,jj,jl) |
---|
728 | IF ( araft(ji,jj,jl) < epsi06 ) araft(ji,jj,jl) = 0._wp |
---|
729 | aridge(ji,jj,jl) = MAX( athorn(ji,jj,jl) - araft(ji,jj,jl), 0.0 ) |
---|
730 | ENDIF ! athorn |
---|
731 | END DO ! ji |
---|
732 | END DO ! jj |
---|
733 | END DO ! jl |
---|
734 | |
---|
735 | ELSE ! raft_swi = 0 |
---|
736 | ! |
---|
737 | DO jl = 1, jpl |
---|
738 | aridge(:,:,jl) = athorn(:,:,jl) |
---|
739 | END DO |
---|
740 | ! |
---|
741 | ENDIF |
---|
742 | |
---|
743 | IF ( raft_swi == 1 ) THEN |
---|
744 | |
---|
745 | IF( MAXVAL(aridge + araft - athorn(:,:,1:jpl)) .GT. epsi10 ) THEN |
---|
746 | DO jl = 1, jpl |
---|
747 | DO jj = 1, jpj |
---|
748 | DO ji = 1, jpi |
---|
749 | IF ( aridge(ji,jj,jl) + araft(ji,jj,jl) - athorn(ji,jj,jl) .GT. epsi10 ) THEN |
---|
750 | WRITE(numout,*) ' ALERTE 96 : wrong participation function ... ' |
---|
751 | WRITE(numout,*) ' ji, jj, jl : ', ji, jj, jl |
---|
752 | WRITE(numout,*) ' lat, lon : ', gphit(ji,jj), glamt(ji,jj) |
---|
753 | WRITE(numout,*) ' aridge : ', aridge(ji,jj,1:jpl) |
---|
754 | WRITE(numout,*) ' araft : ', araft(ji,jj,1:jpl) |
---|
755 | WRITE(numout,*) ' athorn : ', athorn(ji,jj,1:jpl) |
---|
756 | ENDIF |
---|
757 | END DO |
---|
758 | END DO |
---|
759 | END DO |
---|
760 | ENDIF |
---|
761 | |
---|
762 | ENDIF |
---|
763 | |
---|
764 | !----------------------------------------------------------------- |
---|
765 | ! 2) Transfer function |
---|
766 | !----------------------------------------------------------------- |
---|
767 | ! Compute max and min ridged ice thickness for each ridging category. |
---|
768 | ! Assume ridged ice is uniformly distributed between hrmin and hrmax. |
---|
769 | ! |
---|
770 | ! This parameterization is a modified version of Hibler (1980). |
---|
771 | ! The mean ridging thickness, hrmean, is proportional to hi^(0.5) |
---|
772 | ! and for very thick ridging ice must be >= krdgmin*hi |
---|
773 | ! |
---|
774 | ! The minimum ridging thickness, hrmin, is equal to 2*hi |
---|
775 | ! (i.e., rafting) and for very thick ridging ice is |
---|
776 | ! constrained by hrmin <= (hrmean + hi)/2. |
---|
777 | ! |
---|
778 | ! The maximum ridging thickness, hrmax, is determined by |
---|
779 | ! hrmean and hrmin. |
---|
780 | ! |
---|
781 | ! These modifications have the effect of reducing the ice strength |
---|
782 | ! (relative to the Hibler formulation) when very thick ice is |
---|
783 | ! ridging. |
---|
784 | ! |
---|
785 | ! aksum = net area removed/ total area removed |
---|
786 | ! where total area removed = area of ice that ridges |
---|
787 | ! net area removed = total area removed - area of new ridges |
---|
788 | !----------------------------------------------------------------- |
---|
789 | |
---|
790 | ! Transfer function |
---|
791 | DO jl = 1, jpl !all categories have a specific transfer function |
---|
792 | DO jj = 1, jpj |
---|
793 | DO ji = 1, jpi |
---|
794 | |
---|
795 | IF (a_i(ji,jj,jl) .GT. epsi10 .AND. athorn(ji,jj,jl) .GT. 0.0 ) THEN |
---|
796 | hi = v_i(ji,jj,jl) / a_i(ji,jj,jl) |
---|
797 | hrmean = MAX(SQRT(Hstar*hi), hi*krdgmin) |
---|
798 | hrmin(ji,jj,jl) = MIN(2.0*hi, 0.5*(hrmean + hi)) |
---|
799 | hrmax(ji,jj,jl) = 2.0*hrmean - hrmin(ji,jj,jl) |
---|
800 | hraft(ji,jj,jl) = kraft*hi |
---|
801 | krdg(ji,jj,jl) = hrmean / hi |
---|
802 | ELSE |
---|
803 | hraft(ji,jj,jl) = 0.0 |
---|
804 | hrmin(ji,jj,jl) = 0.0 |
---|
805 | hrmax(ji,jj,jl) = 0.0 |
---|
806 | krdg (ji,jj,jl) = 1.0 |
---|
807 | ENDIF |
---|
808 | |
---|
809 | END DO ! ji |
---|
810 | END DO ! jj |
---|
811 | END DO ! jl |
---|
812 | |
---|
813 | ! Normalization factor : aksum, ensures mass conservation |
---|
814 | aksum(:,:) = athorn(:,:,0) |
---|
815 | DO jl = 1, jpl |
---|
816 | aksum(:,:) = aksum(:,:) + aridge(:,:,jl) * ( 1._wp - 1._wp / krdg(:,:,jl) ) & |
---|
817 | & + araft (:,:,jl) * ( 1._wp - 1._wp / kraft ) |
---|
818 | END DO |
---|
819 | ! |
---|
820 | CALL wrk_dealloc( jpi,jpj, zworka ) |
---|
821 | CALL wrk_dealloc( jpi,jpj,jpl+2, Gsum, kkstart = -1 ) |
---|
822 | ! |
---|
823 | END SUBROUTINE lim_itd_me_ridgeprep |
---|
824 | |
---|
825 | |
---|
826 | SUBROUTINE lim_itd_me_ridgeshift( opning, closing_gross, msnow_mlt, esnow_mlt ) |
---|
827 | !!---------------------------------------------------------------------- |
---|
828 | !! *** ROUTINE lim_itd_me_icestrength *** |
---|
829 | !! |
---|
830 | !! ** Purpose : shift ridging ice among thickness categories of ice thickness |
---|
831 | !! |
---|
832 | !! ** Method : Remove area, volume, and energy from each ridging category |
---|
833 | !! and add to thicker ice categories. |
---|
834 | !!---------------------------------------------------------------------- |
---|
835 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: opning ! rate of opening due to divergence/shear |
---|
836 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: closing_gross ! rate at which area removed, excluding area of new ridges |
---|
837 | REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: msnow_mlt ! mass of snow added to ocean (kg m-2) |
---|
838 | REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: esnow_mlt ! energy needed to melt snow in ocean (J m-2) |
---|
839 | ! |
---|
840 | CHARACTER (len=80) :: fieldid ! field identifier |
---|
841 | LOGICAL, PARAMETER :: l_conservation_check = .true. ! if true, check conservation (useful for debugging) |
---|
842 | ! |
---|
843 | LOGICAL :: neg_ato_i ! flag for ato_i(i,j) < -puny |
---|
844 | LOGICAL :: large_afrac ! flag for afrac > 1 |
---|
845 | LOGICAL :: large_afrft ! flag for afrac > 1 |
---|
846 | INTEGER :: ji, jj, jl, jl1, jl2, jk ! dummy loop indices |
---|
847 | INTEGER :: ij ! horizontal index, combines i and j loops |
---|
848 | INTEGER :: icells ! number of cells with aicen > puny |
---|
849 | REAL(wp) :: hL, hR, farea, zdummy, zdummy0, ztmelts ! left and right limits of integration |
---|
850 | REAL(wp) :: zsstK ! SST in Kelvin |
---|
851 | |
---|
852 | INTEGER , POINTER, DIMENSION(:) :: indxi, indxj ! compressed indices |
---|
853 | |
---|
854 | REAL(wp), POINTER, DIMENSION(:,:) :: vice_init, vice_final ! ice volume summed over categories |
---|
855 | REAL(wp), POINTER, DIMENSION(:,:) :: eice_init, eice_final ! ice energy summed over layers |
---|
856 | |
---|
857 | REAL(wp), POINTER, DIMENSION(:,:,:) :: aicen_init, vicen_init ! ice area & volume before ridging |
---|
858 | REAL(wp), POINTER, DIMENSION(:,:,:) :: vsnwn_init, esnwn_init ! snow volume & energy before ridging |
---|
859 | REAL(wp), POINTER, DIMENSION(:,:,:) :: smv_i_init, oa_i_init ! ice salinity & age before ridging |
---|
860 | |
---|
861 | REAL(wp), POINTER, DIMENSION(:,:,:,:) :: eicen_init ! ice energy before ridging |
---|
862 | |
---|
863 | REAL(wp), POINTER, DIMENSION(:,:) :: afrac , fvol ! fraction of category area ridged & new ridge volume going to n2 |
---|
864 | REAL(wp), POINTER, DIMENSION(:,:) :: ardg1 , ardg2 ! area of ice ridged & new ridges |
---|
865 | REAL(wp), POINTER, DIMENSION(:,:) :: vsrdg , esrdg ! snow volume & energy of ridging ice |
---|
866 | REAL(wp), POINTER, DIMENSION(:,:) :: oirdg1, oirdg2 ! areal age content of ridged & rifging ice |
---|
867 | REAL(wp), POINTER, DIMENSION(:,:) :: dhr , dhr2 ! hrmax - hrmin & hrmax^2 - hrmin^2 |
---|
868 | |
---|
869 | REAL(wp), POINTER, DIMENSION(:,:) :: vrdg1 ! volume of ice ridged |
---|
870 | REAL(wp), POINTER, DIMENSION(:,:) :: vrdg2 ! volume of new ridges |
---|
871 | REAL(wp), POINTER, DIMENSION(:,:) :: vsw ! volume of seawater trapped into ridges |
---|
872 | REAL(wp), POINTER, DIMENSION(:,:) :: srdg1 ! sal*volume of ice ridged |
---|
873 | REAL(wp), POINTER, DIMENSION(:,:) :: srdg2 ! sal*volume of new ridges |
---|
874 | REAL(wp), POINTER, DIMENSION(:,:) :: smsw ! sal*volume of water trapped into ridges |
---|
875 | |
---|
876 | REAL(wp), POINTER, DIMENSION(:,:) :: afrft ! fraction of category area rafted |
---|
877 | REAL(wp), POINTER, DIMENSION(:,:) :: arft1 , arft2 ! area of ice rafted and new rafted zone |
---|
878 | REAL(wp), POINTER, DIMENSION(:,:) :: virft , vsrft ! ice & snow volume of rafting ice |
---|
879 | REAL(wp), POINTER, DIMENSION(:,:) :: esrft , smrft ! snow energy & salinity of rafting ice |
---|
880 | REAL(wp), POINTER, DIMENSION(:,:) :: oirft1, oirft2 ! areal age content of rafted ice & rafting ice |
---|
881 | |
---|
882 | REAL(wp), POINTER, DIMENSION(:,:,:) :: eirft ! ice energy of rafting ice |
---|
883 | REAL(wp), POINTER, DIMENSION(:,:,:) :: erdg1 ! enth*volume of ice ridged |
---|
884 | REAL(wp), POINTER, DIMENSION(:,:,:) :: erdg2 ! enth*volume of new ridges |
---|
885 | REAL(wp), POINTER, DIMENSION(:,:,:) :: ersw ! enth of water trapped into ridges |
---|
886 | !!---------------------------------------------------------------------- |
---|
887 | |
---|
888 | CALL wrk_alloc( (jpi+1)*(jpj+1), indxi, indxj ) |
---|
889 | CALL wrk_alloc( jpi, jpj, vice_init, vice_final, eice_init, eice_final ) |
---|
890 | CALL wrk_alloc( jpi, jpj, afrac, fvol , ardg1, ardg2, vsrdg, esrdg, oirdg1, oirdg2, dhr, dhr2 ) |
---|
891 | CALL wrk_alloc( jpi, jpj, vrdg1, vrdg2, vsw , srdg1, srdg2, smsw ) |
---|
892 | CALL wrk_alloc( jpi, jpj, afrft, arft1, arft2, virft, vsrft, esrft, smrft, oirft1, oirft2 ) |
---|
893 | CALL wrk_alloc( jpi, jpj, jpl, aicen_init, vicen_init, vsnwn_init, esnwn_init, smv_i_init, oa_i_init ) |
---|
894 | CALL wrk_alloc( jpi, jpj, nlay_i+1, eirft, erdg1, erdg2, ersw ) |
---|
895 | CALL wrk_alloc( jpi, jpj, nlay_i+1, jpl, eicen_init ) |
---|
896 | |
---|
897 | ! Conservation check |
---|
898 | eice_init(:,:) = 0._wp |
---|
899 | |
---|
900 | IF( con_i ) THEN |
---|
901 | CALL lim_column_sum (jpl, v_i, vice_init ) |
---|
902 | CALL lim_column_sum_energy (jpl, nlay_i, e_i, eice_init ) |
---|
903 | DO ji = mi0(jiindx), mi1(jiindx) |
---|
904 | DO jj = mj0(jjindx), mj1(jjindx) |
---|
905 | WRITE(numout,*) ' vice_init : ', vice_init(ji,jj) |
---|
906 | WRITE(numout,*) ' eice_init : ', eice_init(ji,jj) |
---|
907 | END DO |
---|
908 | END DO |
---|
909 | ENDIF |
---|
910 | |
---|
911 | !------------------------------------------------------------------------------- |
---|
912 | ! 1) Compute change in open water area due to closing and opening. |
---|
913 | !------------------------------------------------------------------------------- |
---|
914 | |
---|
915 | neg_ato_i = .false. |
---|
916 | |
---|
917 | DO jj = 1, jpj |
---|
918 | DO ji = 1, jpi |
---|
919 | ato_i(ji,jj) = ato_i(ji,jj) - athorn(ji,jj,0) * closing_gross(ji,jj) * rdt_ice & |
---|
920 | & + opning(ji,jj) * rdt_ice |
---|
921 | IF( ato_i(ji,jj) < -epsi10 ) THEN |
---|
922 | neg_ato_i = .TRUE. |
---|
923 | ELSEIF( ato_i(ji,jj) < 0._wp ) THEN ! roundoff error |
---|
924 | ato_i(ji,jj) = 0._wp |
---|
925 | ENDIF |
---|
926 | END DO !jj |
---|
927 | END DO !ji |
---|
928 | |
---|
929 | ! if negative open water area alert it |
---|
930 | IF( neg_ato_i ) THEN ! there is a bug |
---|
931 | DO jj = 1, jpj |
---|
932 | DO ji = 1, jpi |
---|
933 | IF( ato_i(ji,jj) < -epsi10 ) THEN |
---|
934 | WRITE(numout,*) '' |
---|
935 | WRITE(numout,*) 'Ridging error: ato_i < 0' |
---|
936 | WRITE(numout,*) 'ato_i : ', ato_i(ji,jj) |
---|
937 | ENDIF ! ato_i < -epsi10 |
---|
938 | END DO |
---|
939 | END DO |
---|
940 | ENDIF |
---|
941 | |
---|
942 | !----------------------------------------------------------------- |
---|
943 | ! 2) Save initial state variables |
---|
944 | !----------------------------------------------------------------- |
---|
945 | |
---|
946 | DO jl = 1, jpl |
---|
947 | aicen_init(:,:,jl) = a_i(:,:,jl) |
---|
948 | vicen_init(:,:,jl) = v_i(:,:,jl) |
---|
949 | vsnwn_init(:,:,jl) = v_s(:,:,jl) |
---|
950 | ! |
---|
951 | smv_i_init(:,:,jl) = smv_i(:,:,jl) |
---|
952 | oa_i_init (:,:,jl) = oa_i (:,:,jl) |
---|
953 | END DO !jl |
---|
954 | |
---|
955 | esnwn_init(:,:,:) = e_s(:,:,1,:) |
---|
956 | |
---|
957 | DO jl = 1, jpl |
---|
958 | DO jk = 1, nlay_i |
---|
959 | eicen_init(:,:,jk,jl) = e_i(:,:,jk,jl) |
---|
960 | END DO |
---|
961 | END DO |
---|
962 | |
---|
963 | ! |
---|
964 | !----------------------------------------------------------------- |
---|
965 | ! 3) Pump everything from ice which is being ridged / rafted |
---|
966 | !----------------------------------------------------------------- |
---|
967 | ! Compute the area, volume, and energy of ice ridging in each |
---|
968 | ! category, along with the area of the resulting ridge. |
---|
969 | |
---|
970 | DO jl1 = 1, jpl !jl1 describes the ridging category |
---|
971 | |
---|
972 | !------------------------------------------------ |
---|
973 | ! 3.1) Identify grid cells with nonzero ridging |
---|
974 | !------------------------------------------------ |
---|
975 | |
---|
976 | icells = 0 |
---|
977 | DO jj = 1, jpj |
---|
978 | DO ji = 1, jpi |
---|
979 | IF( aicen_init(ji,jj,jl1) > epsi10 .AND. athorn(ji,jj,jl1) > 0._wp & |
---|
980 | & .AND. closing_gross(ji,jj) > 0._wp ) THEN |
---|
981 | icells = icells + 1 |
---|
982 | indxi(icells) = ji |
---|
983 | indxj(icells) = jj |
---|
984 | ENDIF ! test on a_icen_init |
---|
985 | END DO ! ji |
---|
986 | END DO ! jj |
---|
987 | |
---|
988 | large_afrac = .false. |
---|
989 | large_afrft = .false. |
---|
990 | |
---|
991 | !CDIR NODEP |
---|
992 | DO ij = 1, icells |
---|
993 | ji = indxi(ij) |
---|
994 | jj = indxj(ij) |
---|
995 | |
---|
996 | !-------------------------------------------------------------------- |
---|
997 | ! 3.2) Compute area of ridging ice (ardg1) and of new ridge (ardg2) |
---|
998 | !-------------------------------------------------------------------- |
---|
999 | |
---|
1000 | ardg1(ji,jj) = aridge(ji,jj,jl1)*closing_gross(ji,jj)*rdt_ice |
---|
1001 | arft1(ji,jj) = araft (ji,jj,jl1)*closing_gross(ji,jj)*rdt_ice |
---|
1002 | ardg2(ji,jj) = ardg1(ji,jj) / krdg(ji,jj,jl1) |
---|
1003 | arft2(ji,jj) = arft1(ji,jj) / kraft |
---|
1004 | |
---|
1005 | oirdg1(ji,jj)= aridge(ji,jj,jl1)*closing_gross(ji,jj)*rdt_ice |
---|
1006 | oirft1(ji,jj)= araft (ji,jj,jl1)*closing_gross(ji,jj)*rdt_ice |
---|
1007 | oirdg2(ji,jj)= oirdg1(ji,jj) / krdg(ji,jj,jl1) |
---|
1008 | oirft2(ji,jj)= oirft1(ji,jj) / kraft |
---|
1009 | |
---|
1010 | !--------------------------------------------------------------- |
---|
1011 | ! 3.3) Compute ridging /rafting fractions, make sure afrac <=1 |
---|
1012 | !--------------------------------------------------------------- |
---|
1013 | |
---|
1014 | afrac(ji,jj) = ardg1(ji,jj) / aicen_init(ji,jj,jl1) !ridging |
---|
1015 | afrft(ji,jj) = arft1(ji,jj) / aicen_init(ji,jj,jl1) !rafting |
---|
1016 | |
---|
1017 | IF (afrac(ji,jj) > kamax + epsi10) THEN !riging |
---|
1018 | large_afrac = .true. |
---|
1019 | ELSEIF (afrac(ji,jj) > kamax) THEN ! roundoff error |
---|
1020 | afrac(ji,jj) = kamax |
---|
1021 | ENDIF |
---|
1022 | IF (afrft(ji,jj) > kamax + epsi10) THEN !rafting |
---|
1023 | large_afrft = .true. |
---|
1024 | ELSEIF (afrft(ji,jj) > kamax) THEN ! roundoff error |
---|
1025 | afrft(ji,jj) = kamax |
---|
1026 | ENDIF |
---|
1027 | |
---|
1028 | !-------------------------------------------------------------------------- |
---|
1029 | ! 3.4) Subtract area, volume, and energy from ridging |
---|
1030 | ! / rafting category n1. |
---|
1031 | !-------------------------------------------------------------------------- |
---|
1032 | vrdg1(ji,jj) = vicen_init(ji,jj,jl1) * afrac(ji,jj) |
---|
1033 | vrdg2(ji,jj) = vrdg1(ji,jj) * ( 1. + ridge_por ) |
---|
1034 | vsw (ji,jj) = vrdg1(ji,jj) * ridge_por |
---|
1035 | |
---|
1036 | vsrdg(ji,jj) = vsnwn_init(ji,jj,jl1) * afrac(ji,jj) |
---|
1037 | esrdg(ji,jj) = esnwn_init(ji,jj,jl1) * afrac(ji,jj) |
---|
1038 | srdg1(ji,jj) = smv_i_init(ji,jj,jl1) * afrac(ji,jj) |
---|
1039 | srdg2(ji,jj) = smv_i_init(ji,jj,jl1) * afrac(ji,jj) !! MV HC 2014 this line seems useless |
---|
1040 | |
---|
1041 | ! rafting volumes, heat contents ... |
---|
1042 | virft(ji,jj) = vicen_init(ji,jj,jl1) * afrft(ji,jj) |
---|
1043 | vsrft(ji,jj) = vsnwn_init(ji,jj,jl1) * afrft(ji,jj) |
---|
1044 | esrft(ji,jj) = esnwn_init(ji,jj,jl1) * afrft(ji,jj) |
---|
1045 | smrft(ji,jj) = smv_i_init(ji,jj,jl1) * afrft(ji,jj) |
---|
1046 | |
---|
1047 | ! substract everything |
---|
1048 | a_i(ji,jj,jl1) = a_i(ji,jj,jl1) - ardg1(ji,jj) - arft1(ji,jj) |
---|
1049 | v_i(ji,jj,jl1) = v_i(ji,jj,jl1) - vrdg1(ji,jj) - virft(ji,jj) |
---|
1050 | v_s(ji,jj,jl1) = v_s(ji,jj,jl1) - vsrdg(ji,jj) - vsrft(ji,jj) |
---|
1051 | e_s(ji,jj,1,jl1) = e_s(ji,jj,1,jl1) - esrdg(ji,jj) - esrft(ji,jj) |
---|
1052 | oa_i(ji,jj,jl1) = oa_i(ji,jj,jl1) - oirdg1(ji,jj) - oirft1(ji,jj) |
---|
1053 | smv_i(ji,jj,jl1) = smv_i(ji,jj,jl1) - srdg1(ji,jj) - smrft(ji,jj) |
---|
1054 | |
---|
1055 | !----------------------------------------------------------------- |
---|
1056 | ! 3.5) Compute properties of new ridges |
---|
1057 | !----------------------------------------------------------------- |
---|
1058 | !------------- |
---|
1059 | ! Salinity |
---|
1060 | !------------- |
---|
1061 | smsw(ji,jj) = vsw(ji,jj) * sss_m(ji,jj) ! salt content of seawater frozen in voids !! MV HC2014 |
---|
1062 | srdg2(ji,jj) = srdg1(ji,jj) + smsw(ji,jj) ! salt content of new ridge |
---|
1063 | |
---|
1064 | !srdg2(ji,jj) = MIN( s_i_max * vrdg2(ji,jj) , zsrdg2 ) ! impose a maximum salinity |
---|
1065 | |
---|
1066 | sfx_dyn(ji,jj) = sfx_dyn(ji,jj) - smsw(ji,jj) * rhoic * r1_rdtice |
---|
1067 | wfx_dyn(ji,jj) = wfx_dyn(ji,jj) - vsw (ji,jj) * rhoic * r1_rdtice ! gurvan: increase in ice volume du to seawater frozen in voids |
---|
1068 | |
---|
1069 | !------------------------------------ |
---|
1070 | ! 3.6 Increment ridging diagnostics |
---|
1071 | !------------------------------------ |
---|
1072 | |
---|
1073 | ! jl1 looping 1-jpl |
---|
1074 | ! ij looping 1-icells |
---|
1075 | |
---|
1076 | dardg1dt (ji,jj) = dardg1dt(ji,jj) + ardg1(ji,jj) + arft1(ji,jj) |
---|
1077 | dardg2dt (ji,jj) = dardg2dt(ji,jj) + ardg2(ji,jj) + arft2(ji,jj) |
---|
1078 | opening (ji,jj) = opening (ji,jj) + opning(ji,jj) * rdt_ice |
---|
1079 | |
---|
1080 | IF( con_i ) vice_init(ji,jj) = vice_init(ji,jj) + vrdg2(ji,jj) - vrdg1(ji,jj) |
---|
1081 | |
---|
1082 | !------------------------------------------ |
---|
1083 | ! 3.7 Put the snow somewhere in the ocean |
---|
1084 | !------------------------------------------ |
---|
1085 | ! Place part of the snow lost by ridging into the ocean. |
---|
1086 | ! Note that esnow_mlt < 0; the ocean must cool to melt snow. |
---|
1087 | ! If the ocean temp = Tf already, new ice must grow. |
---|
1088 | ! During the next time step, thermo_rates will determine whether |
---|
1089 | ! the ocean cools or new ice grows. |
---|
1090 | ! jl1 looping 1-jpl |
---|
1091 | ! ij looping 1-icells |
---|
1092 | |
---|
1093 | msnow_mlt(ji,jj) = msnow_mlt(ji,jj) + rhosn*vsrdg(ji,jj)*(1.0-fsnowrdg) & ! rafting included |
---|
1094 | & + rhosn*vsrft(ji,jj)*(1.0-fsnowrft) |
---|
1095 | |
---|
1096 | ! in 1e-9 Joules (same as e_s) |
---|
1097 | esnow_mlt(ji,jj) = esnow_mlt(ji,jj) - esrdg(ji,jj)*(1.0-fsnowrdg) & !rafting included |
---|
1098 | & - esrft(ji,jj)*(1.0-fsnowrft) |
---|
1099 | |
---|
1100 | !----------------------------------------------------------------- |
---|
1101 | ! 3.8 Compute quantities used to apportion ice among categories |
---|
1102 | ! in the n2 loop below |
---|
1103 | !----------------------------------------------------------------- |
---|
1104 | |
---|
1105 | ! jl1 looping 1-jpl |
---|
1106 | ! ij looping 1-icells |
---|
1107 | |
---|
1108 | dhr (ji,jj) = hrmax(ji,jj,jl1) - hrmin(ji,jj,jl1) |
---|
1109 | dhr2(ji,jj) = hrmax(ji,jj,jl1) * hrmax(ji,jj,jl1) - hrmin(ji,jj,jl1) * hrmin(ji,jj,jl1) |
---|
1110 | |
---|
1111 | END DO ! ij |
---|
1112 | |
---|
1113 | !-------------------------------------------------------------------- |
---|
1114 | ! 3.9 Compute ridging ice enthalpy, remove it from ridging ice and |
---|
1115 | ! compute ridged ice enthalpy |
---|
1116 | !-------------------------------------------------------------------- |
---|
1117 | DO jk = 1, nlay_i |
---|
1118 | !CDIR NODEP |
---|
1119 | DO ij = 1, icells |
---|
1120 | ji = indxi(ij) |
---|
1121 | jj = indxj(ij) |
---|
1122 | ! heat content of ridged ice |
---|
1123 | erdg1(ji,jj,jk) = eicen_init(ji,jj,jk,jl1) * afrac(ji,jj) |
---|
1124 | eirft(ji,jj,jk) = eicen_init(ji,jj,jk,jl1) * afrft(ji,jj) |
---|
1125 | e_i (ji,jj,jk,jl1) = e_i(ji,jj,jk,jl1) - erdg1(ji,jj,jk) - eirft(ji,jj,jk) |
---|
1126 | |
---|
1127 | |
---|
1128 | ! enthalpy of the trapped seawater (J/m2, >0) |
---|
1129 | ! clem: if sst>0, then ersw <0 (is that possible?) |
---|
1130 | zsstK = sst_m(ji,jj) + rt0 |
---|
1131 | ersw(ji,jj,jk) = - rhoic * vsw(ji,jj) * rcp * ( zsstK - rt0 ) / REAL( nlay_i ) |
---|
1132 | |
---|
1133 | ! heat flux to the ocean |
---|
1134 | hfx_dyn(ji,jj) = hfx_dyn(ji,jj) + ersw(ji,jj,jk) * r1_rdtice ! > 0 [W.m-2] ocean->ice flux |
---|
1135 | |
---|
1136 | ! Correct dimensions to avoid big values |
---|
1137 | ersw(ji,jj,jk) = ersw(ji,jj,jk) / unit_fac |
---|
1138 | |
---|
1139 | ! Mutliply by ice volume, and divide by number of layers to get heat content in 1.e9 J |
---|
1140 | ! it is added to sea ice because the sign convention is the opposite of the sign convention for the ocean |
---|
1141 | !! MV HC 2014 |
---|
1142 | ersw (ji,jj,jk) = ersw(ji,jj,jk) * area(ji,jj) |
---|
1143 | |
---|
1144 | erdg2(ji,jj,jk) = erdg1(ji,jj,jk) + ersw(ji,jj,jk) |
---|
1145 | |
---|
1146 | END DO ! ij |
---|
1147 | END DO !jk |
---|
1148 | |
---|
1149 | |
---|
1150 | IF( con_i ) THEN |
---|
1151 | DO jk = 1, nlay_i |
---|
1152 | !CDIR NODEP |
---|
1153 | DO ij = 1, icells |
---|
1154 | ji = indxi(ij) |
---|
1155 | jj = indxj(ij) |
---|
1156 | eice_init(ji,jj) = eice_init(ji,jj) + erdg2(ji,jj,jk) - erdg1(ji,jj,jk) |
---|
1157 | END DO ! ij |
---|
1158 | END DO !jk |
---|
1159 | ENDIF |
---|
1160 | |
---|
1161 | IF( large_afrac ) THEN ! there is a bug |
---|
1162 | !CDIR NODEP |
---|
1163 | DO ij = 1, icells |
---|
1164 | ji = indxi(ij) |
---|
1165 | jj = indxj(ij) |
---|
1166 | IF( afrac(ji,jj) > kamax + epsi10 ) THEN |
---|
1167 | WRITE(numout,*) '' |
---|
1168 | WRITE(numout,*) ' ardg > a_i' |
---|
1169 | WRITE(numout,*) ' ardg, aicen_init : ', ardg1(ji,jj), aicen_init(ji,jj,jl1) |
---|
1170 | ENDIF |
---|
1171 | END DO |
---|
1172 | ENDIF |
---|
1173 | IF( large_afrft ) THEN ! there is a bug |
---|
1174 | !CDIR NODEP |
---|
1175 | DO ij = 1, icells |
---|
1176 | ji = indxi(ij) |
---|
1177 | jj = indxj(ij) |
---|
1178 | IF( afrft(ji,jj) > kamax + epsi10 ) THEN |
---|
1179 | WRITE(numout,*) '' |
---|
1180 | WRITE(numout,*) ' arft > a_i' |
---|
1181 | WRITE(numout,*) ' arft, aicen_init : ', arft1(ji,jj), aicen_init(ji,jj,jl1) |
---|
1182 | ENDIF |
---|
1183 | END DO |
---|
1184 | ENDIF |
---|
1185 | |
---|
1186 | !------------------------------------------------------------------------------- |
---|
1187 | ! 4) Add area, volume, and energy of new ridge to each category jl2 |
---|
1188 | !------------------------------------------------------------------------------- |
---|
1189 | ! jl1 looping 1-jpl |
---|
1190 | DO jl2 = 1, jpl |
---|
1191 | ! over categories to which ridged ice is transferred |
---|
1192 | !CDIR NODEP |
---|
1193 | DO ij = 1, icells |
---|
1194 | ji = indxi(ij) |
---|
1195 | jj = indxj(ij) |
---|
1196 | |
---|
1197 | ! Compute the fraction of ridged ice area and volume going to |
---|
1198 | ! thickness category jl2. |
---|
1199 | ! Transfer area, volume, and energy accordingly. |
---|
1200 | |
---|
1201 | IF( hrmin(ji,jj,jl1) >= hi_max(jl2) .OR. & |
---|
1202 | hrmax(ji,jj,jl1) <= hi_max(jl2-1) ) THEN |
---|
1203 | hL = 0._wp |
---|
1204 | hR = 0._wp |
---|
1205 | ELSE |
---|
1206 | hL = MAX( hrmin(ji,jj,jl1), hi_max(jl2-1) ) |
---|
1207 | hR = MIN( hrmax(ji,jj,jl1), hi_max(jl2) ) |
---|
1208 | ENDIF |
---|
1209 | |
---|
1210 | ! fraction of ridged ice area and volume going to n2 |
---|
1211 | farea = ( hR - hL ) / dhr(ji,jj) |
---|
1212 | fvol(ji,jj) = ( hR*hR - hL*hL ) / dhr2(ji,jj) |
---|
1213 | |
---|
1214 | a_i (ji,jj ,jl2) = a_i (ji,jj ,jl2) + ardg2 (ji,jj) * farea |
---|
1215 | v_i (ji,jj ,jl2) = v_i (ji,jj ,jl2) + vrdg2 (ji,jj) * fvol(ji,jj) |
---|
1216 | v_s (ji,jj ,jl2) = v_s (ji,jj ,jl2) + vsrdg (ji,jj) * fvol(ji,jj) * fsnowrdg |
---|
1217 | e_s (ji,jj,1,jl2) = e_s (ji,jj,1,jl2) + esrdg (ji,jj) * fvol(ji,jj) * fsnowrdg |
---|
1218 | smv_i(ji,jj ,jl2) = smv_i(ji,jj ,jl2) + srdg2 (ji,jj) * fvol(ji,jj) |
---|
1219 | oa_i (ji,jj ,jl2) = oa_i (ji,jj ,jl2) + oirdg2(ji,jj) * farea |
---|
1220 | |
---|
1221 | END DO ! ij |
---|
1222 | |
---|
1223 | ! Transfer ice energy to category jl2 by ridging |
---|
1224 | DO jk = 1, nlay_i |
---|
1225 | !CDIR NODEP |
---|
1226 | DO ij = 1, icells |
---|
1227 | ji = indxi(ij) |
---|
1228 | jj = indxj(ij) |
---|
1229 | e_i(ji,jj,jk,jl2) = e_i(ji,jj,jk,jl2) + fvol(ji,jj)*erdg2(ji,jj,jk) |
---|
1230 | END DO |
---|
1231 | END DO |
---|
1232 | ! |
---|
1233 | END DO ! jl2 (new ridges) |
---|
1234 | |
---|
1235 | DO jl2 = 1, jpl |
---|
1236 | |
---|
1237 | !CDIR NODEP |
---|
1238 | DO ij = 1, icells |
---|
1239 | ji = indxi(ij) |
---|
1240 | jj = indxj(ij) |
---|
1241 | ! Compute the fraction of rafted ice area and volume going to |
---|
1242 | ! thickness category jl2, transfer area, volume, and energy accordingly. |
---|
1243 | ! |
---|
1244 | IF( hraft(ji,jj,jl1) <= hi_max(jl2) .AND. & |
---|
1245 | hraft(ji,jj,jl1) > hi_max(jl2-1) ) THEN |
---|
1246 | a_i (ji,jj ,jl2) = a_i (ji,jj ,jl2) + arft2 (ji,jj) |
---|
1247 | v_i (ji,jj ,jl2) = v_i (ji,jj ,jl2) + virft (ji,jj) |
---|
1248 | v_s (ji,jj ,jl2) = v_s (ji,jj ,jl2) + vsrft (ji,jj) * fsnowrft |
---|
1249 | e_s (ji,jj,1,jl2) = e_s (ji,jj,1,jl2) + esrft (ji,jj) * fsnowrft |
---|
1250 | smv_i(ji,jj ,jl2) = smv_i(ji,jj ,jl2) + smrft (ji,jj) |
---|
1251 | oa_i (ji,jj ,jl2) = oa_i (ji,jj ,jl2) + oirft2(ji,jj) |
---|
1252 | ENDIF ! hraft |
---|
1253 | ! |
---|
1254 | END DO ! ij |
---|
1255 | |
---|
1256 | ! Transfer rafted ice energy to category jl2 |
---|
1257 | DO jk = 1, nlay_i |
---|
1258 | !CDIR NODEP |
---|
1259 | DO ij = 1, icells |
---|
1260 | ji = indxi(ij) |
---|
1261 | jj = indxj(ij) |
---|
1262 | IF( hraft(ji,jj,jl1) <= hi_max(jl2) .AND. & |
---|
1263 | hraft(ji,jj,jl1) > hi_max(jl2-1) ) THEN |
---|
1264 | e_i(ji,jj,jk,jl2) = e_i(ji,jj,jk,jl2) + eirft(ji,jj,jk) |
---|
1265 | ENDIF |
---|
1266 | END DO ! ij |
---|
1267 | END DO !jk |
---|
1268 | |
---|
1269 | END DO ! jl2 |
---|
1270 | |
---|
1271 | END DO ! jl1 (deforming categories) |
---|
1272 | |
---|
1273 | ! Conservation check |
---|
1274 | IF ( con_i ) THEN |
---|
1275 | CALL lim_column_sum (jpl, v_i, vice_final) |
---|
1276 | fieldid = ' v_i : limitd_me ' |
---|
1277 | CALL lim_cons_check (vice_init, vice_final, 1.0e-6, fieldid) |
---|
1278 | |
---|
1279 | CALL lim_column_sum_energy (jpl, nlay_i, e_i, eice_final ) |
---|
1280 | fieldid = ' e_i : limitd_me ' |
---|
1281 | CALL lim_cons_check (eice_init, eice_final, 1.0e-2, fieldid) |
---|
1282 | |
---|
1283 | DO ji = mi0(jiindx), mi1(jiindx) |
---|
1284 | DO jj = mj0(jjindx), mj1(jjindx) |
---|
1285 | WRITE(numout,*) ' vice_init : ', vice_init (ji,jj) |
---|
1286 | WRITE(numout,*) ' vice_final : ', vice_final(ji,jj) |
---|
1287 | WRITE(numout,*) ' eice_init : ', eice_init (ji,jj) |
---|
1288 | WRITE(numout,*) ' eice_final : ', eice_final(ji,jj) |
---|
1289 | END DO |
---|
1290 | END DO |
---|
1291 | ENDIF |
---|
1292 | ! |
---|
1293 | CALL wrk_dealloc( (jpi+1)*(jpj+1), indxi, indxj ) |
---|
1294 | CALL wrk_dealloc( jpi, jpj, vice_init, vice_final, eice_init, eice_final ) |
---|
1295 | CALL wrk_dealloc( jpi, jpj, afrac, fvol , ardg1, ardg2, vsrdg, esrdg, oirdg1, oirdg2, dhr, dhr2 ) |
---|
1296 | CALL wrk_dealloc( jpi, jpj, vrdg1, vrdg2, vsw , srdg1, srdg2, smsw ) |
---|
1297 | CALL wrk_dealloc( jpi, jpj, afrft, arft1, arft2, virft, vsrft, esrft, smrft, oirft1, oirft2 ) |
---|
1298 | CALL wrk_dealloc( jpi, jpj, jpl, aicen_init, vicen_init, vsnwn_init, esnwn_init, smv_i_init, oa_i_init ) |
---|
1299 | CALL wrk_dealloc( jpi, jpj, nlay_i+1, eirft, erdg1, erdg2, ersw ) |
---|
1300 | CALL wrk_dealloc( jpi, jpj, nlay_i+1, jpl, eicen_init ) |
---|
1301 | ! |
---|
1302 | END SUBROUTINE lim_itd_me_ridgeshift |
---|
1303 | |
---|
1304 | |
---|
1305 | SUBROUTINE lim_itd_me_asumr |
---|
1306 | !!----------------------------------------------------------------------------- |
---|
1307 | !! *** ROUTINE lim_itd_me_asumr *** |
---|
1308 | !! |
---|
1309 | !! ** Purpose : finds total fractional area |
---|
1310 | !! |
---|
1311 | !! ** Method : Find the total area of ice plus open water in each grid cell. |
---|
1312 | !! This is similar to the aggregate_area subroutine except that the |
---|
1313 | !! total area can be greater than 1, so the open water area is |
---|
1314 | !! included in the sum instead of being computed as a residual. |
---|
1315 | !!----------------------------------------------------------------------------- |
---|
1316 | INTEGER :: jl ! dummy loop index |
---|
1317 | !!----------------------------------------------------------------------------- |
---|
1318 | ! |
---|
1319 | asum(:,:) = ato_i(:,:) ! open water |
---|
1320 | DO jl = 1, jpl ! ice categories |
---|
1321 | asum(:,:) = asum(:,:) + a_i(:,:,jl) |
---|
1322 | END DO |
---|
1323 | ! |
---|
1324 | END SUBROUTINE lim_itd_me_asumr |
---|
1325 | |
---|
1326 | |
---|
1327 | SUBROUTINE lim_itd_me_init |
---|
1328 | !!------------------------------------------------------------------- |
---|
1329 | !! *** ROUTINE lim_itd_me_init *** |
---|
1330 | !! |
---|
1331 | !! ** Purpose : Physical constants and parameters linked |
---|
1332 | !! to the mechanical ice redistribution |
---|
1333 | !! |
---|
1334 | !! ** Method : Read the namiceitdme namelist |
---|
1335 | !! and check the parameters values |
---|
1336 | !! called at the first timestep (nit000) |
---|
1337 | !! |
---|
1338 | !! ** input : Namelist namiceitdme |
---|
1339 | !!------------------------------------------------------------------- |
---|
1340 | INTEGER :: ios ! Local integer output status for namelist read |
---|
1341 | NAMELIST/namiceitdme/ ridge_scheme_swi, Cs, Cf, fsnowrdg, fsnowrft, & |
---|
1342 | & Gstar, astar, Hstar, raft_swi, hparmeter, Craft, ridge_por, & |
---|
1343 | & partfun_swi, brinstren_swi |
---|
1344 | !!------------------------------------------------------------------- |
---|
1345 | ! |
---|
1346 | REWIND( numnam_ice_ref ) ! Namelist namicetdme in reference namelist : Ice mechanical ice redistribution |
---|
1347 | READ ( numnam_ice_ref, namiceitdme, IOSTAT = ios, ERR = 901) |
---|
1348 | 901 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namiceitdme in reference namelist', lwp ) |
---|
1349 | |
---|
1350 | REWIND( numnam_ice_cfg ) ! Namelist namiceitdme in configuration namelist : Ice mechanical ice redistribution |
---|
1351 | READ ( numnam_ice_cfg, namiceitdme, IOSTAT = ios, ERR = 902 ) |
---|
1352 | 902 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namiceitdme in configuration namelist', lwp ) |
---|
1353 | IF(lwm) WRITE ( numoni, namiceitdme ) |
---|
1354 | ! |
---|
1355 | IF (lwp) THEN ! control print |
---|
1356 | WRITE(numout,*) |
---|
1357 | WRITE(numout,*)' lim_itd_me_init : ice parameters for mechanical ice redistribution ' |
---|
1358 | WRITE(numout,*)' ~~~~~~~~~~~~~~~' |
---|
1359 | WRITE(numout,*)' Switch choosing the ice redistribution scheme ridge_scheme_swi', ridge_scheme_swi |
---|
1360 | WRITE(numout,*)' Fraction of shear energy contributing to ridging Cs ', Cs |
---|
1361 | WRITE(numout,*)' Ratio of ridging work to PotEner change in ridging Cf ', Cf |
---|
1362 | WRITE(numout,*)' Fraction of snow volume conserved during ridging fsnowrdg ', fsnowrdg |
---|
1363 | WRITE(numout,*)' Fraction of snow volume conserved during ridging fsnowrft ', fsnowrft |
---|
1364 | WRITE(numout,*)' Fraction of total ice coverage contributing to ridging Gstar ', Gstar |
---|
1365 | WRITE(numout,*)' Equivalent to G* for an exponential part function astar ', astar |
---|
1366 | WRITE(numout,*)' Quantity playing a role in max ridged ice thickness Hstar ', Hstar |
---|
1367 | WRITE(numout,*)' Rafting of ice sheets or not raft_swi ', raft_swi |
---|
1368 | WRITE(numout,*)' Parmeter thickness (threshold between ridge-raft) hparmeter ', hparmeter |
---|
1369 | WRITE(numout,*)' Rafting hyperbolic tangent coefficient Craft ', Craft |
---|
1370 | WRITE(numout,*)' Initial porosity of ridges ridge_por ', ridge_por |
---|
1371 | WRITE(numout,*)' Switch for part. function (0) linear (1) exponential partfun_swi ', partfun_swi |
---|
1372 | WRITE(numout,*)' Switch for including brine volume in ice strength comp. brinstren_swi ', brinstren_swi |
---|
1373 | ENDIF |
---|
1374 | ! |
---|
1375 | END SUBROUTINE lim_itd_me_init |
---|
1376 | |
---|
1377 | |
---|
1378 | SUBROUTINE lim_itd_me_zapsmall |
---|
1379 | !!------------------------------------------------------------------- |
---|
1380 | !! *** ROUTINE lim_itd_me_zapsmall *** |
---|
1381 | !! |
---|
1382 | !! ** Purpose : Remove too small sea ice areas and correct salt fluxes |
---|
1383 | !! |
---|
1384 | !! history : |
---|
1385 | !! author: William H. Lipscomb, LANL |
---|
1386 | !! Nov 2003: Modified by Julie Schramm to conserve volume and energy |
---|
1387 | !! Sept 2004: Modified by William Lipscomb; replaced normalize_state with |
---|
1388 | !! additions to local freshwater, salt, and heat fluxes |
---|
1389 | !! 9.0, LIM3.0 - 02-2006 (M. Vancoppenolle) original code |
---|
1390 | !!------------------------------------------------------------------- |
---|
1391 | INTEGER :: ji, jj, jl, jk ! dummy loop indices |
---|
1392 | INTEGER :: icells ! number of cells with ice to zap |
---|
1393 | |
---|
1394 | REAL(wp), POINTER, DIMENSION(:,:) :: zmask ! 2D workspace |
---|
1395 | REAL(wp) :: zmask_glo, zsal, zvi, zvs, zei, zes |
---|
1396 | !!gm REAL(wp) :: xtmp ! temporary variable |
---|
1397 | !!------------------------------------------------------------------- |
---|
1398 | |
---|
1399 | CALL wrk_alloc( jpi, jpj, zmask ) |
---|
1400 | |
---|
1401 | ! to be sure that at_i is the sum of a_i(jl) |
---|
1402 | at_i(:,:) = SUM( a_i(:,:,:), dim=3 ) |
---|
1403 | |
---|
1404 | DO jl = 1, jpl |
---|
1405 | !----------------------------------------------------------------- |
---|
1406 | ! Count categories to be zapped. |
---|
1407 | !----------------------------------------------------------------- |
---|
1408 | icells = 0 |
---|
1409 | zmask(:,:) = 0._wp |
---|
1410 | DO jj = 1, jpj |
---|
1411 | DO ji = 1, jpi |
---|
1412 | IF( a_i(ji,jj,jl) <= epsi10 .OR. v_i(ji,jj,jl) <= epsi10 .OR. at_i(ji,jj) <= epsi10 ) THEN |
---|
1413 | zmask(ji,jj) = 1._wp |
---|
1414 | ENDIF |
---|
1415 | END DO |
---|
1416 | END DO |
---|
1417 | !zmask_glo = glob_sum(zmask) |
---|
1418 | !IF( ln_nicep .AND. lwp ) WRITE(numout,*) zmask_glo, ' cells of ice zapped in the ocean ' |
---|
1419 | |
---|
1420 | !----------------------------------------------------------------- |
---|
1421 | ! Zap ice energy and use ocean heat to melt ice |
---|
1422 | !----------------------------------------------------------------- |
---|
1423 | |
---|
1424 | DO jk = 1, nlay_i |
---|
1425 | DO jj = 1 , jpj |
---|
1426 | DO ji = 1 , jpi |
---|
1427 | zei = e_i(ji,jj,jk,jl) |
---|
1428 | e_i(ji,jj,jk,jl) = e_i(ji,jj,jk,jl) * ( 1._wp - zmask(ji,jj) ) |
---|
1429 | t_i(ji,jj,jk,jl) = t_i(ji,jj,jk,jl) * ( 1._wp - zmask(ji,jj) ) + rtt * zmask(ji,jj) |
---|
1430 | ! update exchanges with ocean |
---|
1431 | hfx_res(ji,jj) = hfx_res(ji,jj) + ( e_i(ji,jj,jk,jl) - zei ) * unit_fac / area(ji,jj) * r1_rdtice ! W.m-2 <0 |
---|
1432 | END DO |
---|
1433 | END DO |
---|
1434 | END DO |
---|
1435 | |
---|
1436 | DO jj = 1 , jpj |
---|
1437 | DO ji = 1 , jpi |
---|
1438 | |
---|
1439 | zsal = smv_i(ji,jj,jl) |
---|
1440 | zvi = v_i(ji,jj,jl) |
---|
1441 | zvs = v_s(ji,jj,jl) |
---|
1442 | zes = e_s(ji,jj,1,jl) |
---|
1443 | !----------------------------------------------------------------- |
---|
1444 | ! Zap snow energy and use ocean heat to melt snow |
---|
1445 | !----------------------------------------------------------------- |
---|
1446 | ! xtmp = esnon(i,j,n) / dt ! < 0 |
---|
1447 | ! fhnet(i,j) = fhnet(i,j) + xtmp |
---|
1448 | ! fhnet_hist(i,j) = fhnet_hist(i,j) + xtmp |
---|
1449 | ! xtmp is greater than 0 |
---|
1450 | ! fluxes are positive to the ocean |
---|
1451 | ! here the flux has to be negative for the ocean |
---|
1452 | t_s(ji,jj,1,jl) = rtt * zmask(ji,jj) + t_s(ji,jj,1,jl) * ( 1._wp - zmask(ji,jj) ) |
---|
1453 | |
---|
1454 | !----------------------------------------------------------------- |
---|
1455 | ! zap ice and snow volume, add water and salt to ocean |
---|
1456 | !----------------------------------------------------------------- |
---|
1457 | ato_i(ji,jj) = a_i (ji,jj,jl) * zmask(ji,jj) + ato_i(ji,jj) |
---|
1458 | a_i (ji,jj,jl) = a_i (ji,jj,jl) * ( 1._wp - zmask(ji,jj) ) |
---|
1459 | v_i (ji,jj,jl) = v_i (ji,jj,jl) * ( 1._wp - zmask(ji,jj) ) |
---|
1460 | v_s (ji,jj,jl) = v_s (ji,jj,jl) * ( 1._wp - zmask(ji,jj) ) |
---|
1461 | t_su (ji,jj,jl) = t_su (ji,jj,jl) * ( 1._wp - zmask(ji,jj) ) + t_bo(ji,jj) * zmask(ji,jj) |
---|
1462 | oa_i (ji,jj,jl) = oa_i (ji,jj,jl) * ( 1._wp - zmask(ji,jj) ) |
---|
1463 | smv_i(ji,jj,jl) = smv_i(ji,jj,jl) * ( 1._wp - zmask(ji,jj) ) |
---|
1464 | e_s(ji,jj,1,jl) = e_s(ji,jj,1,jl) * ( 1._wp - zmask(ji,jj) ) |
---|
1465 | ! additional condition |
---|
1466 | IF( v_s(ji,jj,jl) <= epsi10 ) THEN |
---|
1467 | v_s(ji,jj,jl) = 0._wp |
---|
1468 | e_s(ji,jj,1,jl) = 0._wp |
---|
1469 | ENDIF |
---|
1470 | ! update exchanges with ocean |
---|
1471 | sfx_res(ji,jj) = sfx_res(ji,jj) - ( smv_i(ji,jj,jl) - zsal ) * rhoic * r1_rdtice |
---|
1472 | wfx_res(ji,jj) = wfx_res(ji,jj) - ( v_i(ji,jj,jl) - zvi ) * rhoic * r1_rdtice |
---|
1473 | wfx_snw(ji,jj) = wfx_snw(ji,jj) - ( v_s(ji,jj,jl) - zvs ) * rhosn * r1_rdtice |
---|
1474 | hfx_res(ji,jj) = hfx_res(ji,jj) + ( e_s(ji,jj,1,jl) - zes ) * unit_fac / area(ji,jj) * r1_rdtice ! W.m-2 <0 |
---|
1475 | END DO |
---|
1476 | END DO |
---|
1477 | END DO ! jl |
---|
1478 | |
---|
1479 | ! to be sure that at_i is the sum of a_i(jl) |
---|
1480 | at_i(:,:) = SUM( a_i(:,:,:), dim=3 ) |
---|
1481 | ! |
---|
1482 | CALL wrk_dealloc( jpi, jpj, zmask ) |
---|
1483 | ! |
---|
1484 | END SUBROUTINE lim_itd_me_zapsmall |
---|
1485 | |
---|
1486 | #else |
---|
1487 | !!---------------------------------------------------------------------- |
---|
1488 | !! Default option Empty module NO LIM-3 sea-ice model |
---|
1489 | !!---------------------------------------------------------------------- |
---|
1490 | CONTAINS |
---|
1491 | SUBROUTINE lim_itd_me ! Empty routines |
---|
1492 | END SUBROUTINE lim_itd_me |
---|
1493 | SUBROUTINE lim_itd_me_icestrength |
---|
1494 | END SUBROUTINE lim_itd_me_icestrength |
---|
1495 | SUBROUTINE lim_itd_me_sort |
---|
1496 | END SUBROUTINE lim_itd_me_sort |
---|
1497 | SUBROUTINE lim_itd_me_init |
---|
1498 | END SUBROUTINE lim_itd_me_init |
---|
1499 | SUBROUTINE lim_itd_me_zapsmall |
---|
1500 | END SUBROUTINE lim_itd_me_zapsmall |
---|
1501 | #endif |
---|
1502 | !!====================================================================== |
---|
1503 | END MODULE limitd_me |
---|