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limmp.F90 in branches/2016/dev_r6859_LIM3_meltponds/NEMOGCM/NEMO/LIM_SRC_3 – NEMO

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source: branches/2016/dev_r6859_LIM3_meltponds/NEMOGCM/NEMO/LIM_SRC_3/limmp.F90 @ 8125

Last change on this file since 8125 was 8125, checked in by vancop, 7 years ago
Melt pond podifications
File size: 92.1 KB

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1	MODULE limmp
2	!!======================================================================
3	!! * MODULE limmp *
4	!! Melt ponds
5	!!======================================================================
6	!! history : ! Original code by Daniela Flocco and Adrian Turner
7	!! 1.0 ! 2012 (O. Lecomte) Adaptation for scientific tests (NEMO3.1)
8	!! 2.0 ! 2016 (O. Lecomte, C. Rousset, M. Vancoppenolle) Implementation in NEMO3.6
9	!!----------------------------------------------------------------------
10	#if defined key_lim3
11	!!----------------------------------------------------------------------
12	!! 'key_lim3' : LIM3 sea-ice model
13	!!----------------------------------------------------------------------
14	!! lim_mp_init : some initialization and namelist read
15	!! lim_mp : main calling routine
16	!! lim_mp_topo : main melt pond routine for the "topographic" formulation (FloccoFeltham)
17	!! lim_mp_area : ??? compute melt pond fraction per category
18	!! lim_mp_perm : computes permeability (should be a FUNCTION!)
19	!! calc_hpond : computes melt pond depth
20	!! permeability_phy : computes permeability
21
22	!!----------------------------------------------------------------------
23	USE phycst ! physical constants
24	USE dom_oce ! ocean space and time domain
25	! USE sbc_ice ! Surface boundary condition: ice fields
26	USE ice ! LIM-3 variables
27	USE lbclnk ! lateral boundary conditions - MPP exchanges
28	USE lib_mpp ! MPP library
29	USE wrk_nemo ! work arrays
30	USE in_out_manager ! I/O manager
31	USE lib_fortran ! glob_sum
32	USE timing ! Timing
33	! USE limcons ! conservation tests
34	! USE limctl ! control prints
35	! USE limvar
36
37	!OLI_CODE USE ice_oce, ONLY: rdt_ice, tatm_ice
38	!OLI_CODE USE phycst
39	!OLI_CODE USE dom_ice
40	!OLI_CODE USE dom_oce
41	!OLI_CODE USE sbc_oce
42	!OLI_CODE USE sbc_ice
43	!OLI_CODE USE par_ice
44	!OLI_CODE USE par_oce
45	!OLI_CODE USE ice
46	!OLI_CODE USE thd_ice
47	!OLI_CODE USE in_out_manager
48	!OLI_CODE USE lbclnk
49	!OLI_CODE USE lib_mpp
50	!OLI_CODE
51	!OLI_CODE IMPLICIT NONE
52	!OLI_CODE PRIVATE
53	!OLI_CODE
54	!OLI_CODE PUBLIC lim_mp_init
55	!OLI_CODE PUBLIC lim_mp
56
57	IMPLICIT NONE
58	PRIVATE
59
60	PUBLIC lim_mp_init ! routine called by sbcice_lim.F90
61	PUBLIC lim_mp ! routine called by sbcice_lim.F90
62
63	!! * Substitutions
64	# include "vectopt_loop_substitute.h90"
65	!!----------------------------------------------------------------------
66	!! NEMO/LIM3 4.0 , UCL - NEMO Consortium (2011)
67	!! $Id: limdyn.F90 6994 2016-10-05 13:07:10Z clem $
68	!! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt)
69	!!----------------------------------------------------------------------
70	CONTAINS
71
72	SUBROUTINE lim_mp_init
73	!!-------------------------------------------------------------------
74	!! * ROUTINE lim_mp_init *
75	!!
76	!! ** Purpose : Physical constants and parameters linked to melt ponds
77	!! over sea ice
78	!!
79	!! ** Method : Read the namicemp namelist and check the melt pond
80	!! parameter values called at the first timestep (nit000)
81	!!
82	!! ** input : Namelist namicemp
83	!!-------------------------------------------------------------------
84	INTEGER :: ios ! Local integer output status for namelist read
85	NAMELIST/namicemp/ ln_pnd, ln_pnd_rad, ln_pnd_fw, nn_pnd_scheme, rn_apnd, rn_hpnd
86	!!-------------------------------------------------------------------
87
88	REWIND( numnam_ice_ref ) ! Namelist namicemp in reference namelist : Melt Ponds
89	READ ( numnam_ice_ref, namicemp, IOSTAT = ios, ERR = 901)
90	901 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namicemp in reference namelist', lwp )
91
92	REWIND( numnam_ice_cfg ) ! Namelist namicemp in configuration namelist : Melt Ponds
93	READ ( numnam_ice_cfg, namicemp, IOSTAT = ios, ERR = 902 )
94	902 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namicemp in configuration namelist', lwp )
95	IF(lwm) WRITE ( numoni, namicemp )
96
97	IF(lwp) THEN ! control print
98	WRITE(numout,*)
99	WRITE(numout,*) 'lim_mp_init : ice parameters for melt ponds'
100	WRITE(numout,*) '~~~~~~~~~~~~'
101	WRITE(numout,*) ' Active melt ponds ln_pnd = ', ln_pnd
102	WRITE(numout,*) ' Active melt ponds radiative coupling ln_pnd_rad = ', ln_pnd_rad
103	WRITE(numout,*) ' Active melt ponds freshwater coupling ln_pnd_fw = ', ln_pnd_fw
104	WRITE(numout,*) ' Type of melt pond scheme =0 presc, =1 empirical = 2 topo nn_pnd_scheme = ', nn_pnd_scheme
105	WRITE(numout,*) ' Prescribed pond fraction rn_apnd = ', rn_apnd
106	WRITE(numout,*) ' Prescribed pond depth rn_hpnd = ', rn_hpnd
107	ENDIF
108
109	IF ( .NOT. ln_pnd ) THEN
110	WRITE(numout,*)
111	WRITE(numout,*) ' Melt ponds are not activated '
112	WRITE(numout,*) ' ln_pnd_rad and ln_pnd_fw set to .FALSE. '
113	WRITE(numout,*) ' nn_pnd_scheme, rn_apnd, rn_hpnd set to zero '
114	ln_pnd_rad = .FALSE.
115	ln_pnd_fw = .FALSE.
116	nn_pnd_scheme = 0
117	rn_apnd = 0._wp
118	rn_hpnd = 0._wp
119
120	IF(lwp) THEN ! control print
121	WRITE(numout,*) ' Active melt ponds radiative coupling ln_pnd_rad = ', ln_pnd_rad
122	WRITE(numout,*) ' Active melt ponds freshwater coupling ln_pnd_fw = ', ln_pnd_fw
123	WRITE(numout,*) ' Type of melt pond scheme =0 presc, =1 empirical = 2 topo nn_pnd_scheme = ', nn_pnd_scheme
124	WRITE(numout,*) ' Prescribed pond fraction rn_apnd = ', rn_apnd
125	WRITE(numout,*) ' Prescribed pond depth rn_hpnd = ', rn_hpnd
126	ENDIF
127	ENDIF
128
129	IF ( ln_pnd .AND. ( nn_pnd_scheme == 2 ) .AND. ( jpl == 1 ) ) THEN
130	WRITE(numout,*) ' Topographic melt ponds are incompatible with jpl = 1 '
131	WRITE(numout,*) ' Run aborted '
132	CALL ctl_stop( 'STOP', 'lim_mp_init: uncompatible options, reset namelist_ice_ref ' )
133	ENDIF
134
135	!
136	END SUBROUTINE lim_mp_init
137
138
139
140	SUBROUTINE lim_mp( kt )
141	!!-------------------------------------------------------------------
142	!! * ROUTINE lim_mp *
143	!!
144	!! ** Purpose : change melt pond fraction
145	!!
146	!! ** Method : brutal force
147	!!
148	!! ** Action : -
149	!! -
150	!!------------------------------------------------------------------------------------
151
152	INTEGER, INTENT(in) :: kt ! number of iteration
153	INTEGER :: ji, jj, jl ! dummy loop indices
154
155	! REAL(wp), POINTER, DIMENSION(:,:) :: zfsurf ! surface heat flux(obsolete, should be droped)
156	!
157	!!-------------------------------------------------------------------
158
159	IF( nn_timing == 1 ) CALL timing_start('limthd')
160
161	IF( nn_timing == 1 ) CALL timing_start('lim_mp')
162
163	SELECT CASE ( nn_pnd_scheme )
164
165	CASE (0)
166
167	CALL lim_mp_cstt ! staircase melt ponds
168
169	CASE (1)
170
171	CALL lim_mp_cesm ! empirical melt ponds
172
173	CASE (2)
174
175	CALL lim_mp_topo & ! topographic melt ponds
176	& (at_i, a_i, &
177	& vt_i, v_i, v_s, t_i, s_i, a_ip_frac, &
178	& h_ip, t_su)
179
180	END SELECT
181
182	! we should probably not aggregate here since we do it in lim_var_agg
183	! before output, unless we need the total volume and faction else where
184
185	! we should also make sure a_ip and v_ip are properly updated at the end
186	! of the routine
187
188	END SUBROUTINE lim_mp
189
190	SUBROUTINE lim_mp_cstt
191	!!-------------------------------------------------------------------
192	!! * ROUTINE lim_mp_cstt *
193	!!
194	!! ** Purpose : Compute melt pond evolution
195	!!
196	!! ** Method : Melt pond fraction and thickness are prescribed
197	!! to non-zero values when t_su = 0C
198	!!
199	!! ** Tunable parameters : pond fraction (rn_apnd), pond depth (rn_hpnd)
200	!!
201	!! ** Note : Coupling with such melt ponds is only radiative
202	!! Advection, ridging, rafting... are bypassed
203	!!
204	!! ** References : Bush, G.W., and Trump, D.J. (2017)
205	!!
206	!!-------------------------------------------------------------------
207	INTEGER :: ji, jj, jl
208	REAL(wp) :: z1_jpl ! 1/jpl
209	!!-------------------------------------------------------------------
210
211	z1_jpl = 1. / FLOAT(jpl)
212
213	WHERE ( ( a_i > epsi10 ) .AND. ( t_su >= rt0-epsi06 ) )
214	a_ip_frac = rn_apnd
215	h_ip = rn_hpnd
216	v_ip = a_ip_frac * a_i * h_ip
217	a_ip = a_ip_frac * a_i
218	ELSE WHERE
219	a_ip = 0._wp
220	h_ip = 0._wp
221	v_ip = 0._wp
222	a_ip_frac = 0._wp
223	END WHERE
224
225	wfx_pnd(:,:) = 0._wp
226
227	END SUBROUTINE lim_mp_cstt
228
229	SUBROUTINE lim_mp_cesm
230	!!-------------------------------------------------------------------
231	!! * ROUTINE lim_mp_cesm *
232	!!
233	!! ** Purpose : Compute melt pond evolution
234	!!
235	!! ** Method : Empirical method. A fraction of meltwater is accumulated
236	!! in pond volume. It is then released exponentially when
237	!! surface is freezing.
238	!!
239	!! ** Tunable parameters : (no expertise yet)
240	!!
241	!! ** Note : Stolen from CICE for quick test of the melt pond
242	!! radiation and freshwater interfaces
243	!! Coupling can be radiative AND freshwater
244	!! Advection, ridging, rafting are called
245	!!
246	!! ** References : Holland, M. M. et al (J Clim 2012)
247	!!
248	!!-------------------------------------------------------------------
249
250	INTEGER, POINTER, DIMENSION(:) :: indxi ! compressed indices for cells with ice melting
251	INTEGER, POINTER, DIMENSION(:) :: indxj !
252
253	REAL(wp), POINTER, DIMENSION(:,:) :: zwfx_mlw ! available meltwater for melt ponding
254	REAL(wp), POINTER, DIMENSION(:,:,:) :: zrfrac ! fraction of available meltwater retained for melt ponding
255
256	REAL(wp), PARAMETER :: zrmin = 0.15_wp ! minimum fraction of available meltwater retained for melt ponding
257	REAL(wp), PARAMETER :: zrmax = 0.70_wp ! maximum '' '' '' '' ''
258	REAL(wp), PARAMETER :: zrexp = 0.01_wp ! rate constant to refreeze melt ponds
259	REAL(wp), PARAMETER :: zpnd_aspect = 0.8_wp ! pond aspect ratio
260
261	REAL(wp) :: zhi ! dummy ice thickness
262	REAL(wp) :: zhs ! dummy snow depth
263	REAL(wp) :: zTp ! reference temperature
264	REAL(wp) :: zdTs ! dummy temperature difference
265	REAL(wp) :: z1_rhofw ! inverse freshwater density
266	REAL(wp) :: z1_zpnd_aspect ! inverse pond aspect ratio
267	REAL(wp) :: zvpold ! dummy pond volume
268
269	INTEGER :: ji, jj, jl, ij ! loop indices
270	INTEGER :: icells ! size of dummy array
271
272	!!-------------------------------------------------------------------
273
274	CALL wrk_alloc( jpi*jpj, indxi, indxj)
275	CALL wrk_alloc( jpi,jpj, zwfx_mlw )
276	CALL wrk_alloc( jpi,jpj,jpl, zrfrac )
277
278	z1_rhofw = 1. / rhofw
279	z1_zpnd_aspect = 1. / zpnd_aspect
280	zTp = -2.
281
282	!------------------------------------------------------------------
283	! Available melt water for melt ponding and corresponding fraction
284	!------------------------------------------------------------------
285
286	zwfx_mlw(:,:) = wfx_sum(:,:) + wfx_snw(:,:) ! available meltwater for melt ponding
287
288	zrfrac(:,:,:) = zrmin + ( zrmax - zrmin ) * a_i(:,:,:)
289
290	DO jl = 1, jpl
291
292	! v_ip(:,:,jl) ! Initialize things
293	! a_ip(:,:,jl)
294	! volpn(:,:) = hpnd(:,:) * apnd(:,:) * aicen(:,:)
295
296	!------------------------------------------------------------------------------
297	! Identify grid cells where ponds should be updated (can probably be improved)
298	!------------------------------------------------------------------------------
299
300	indxi(:) = 0
301	indxj(:) = 0
302	icells = 0
303
304	DO jj = 1, jpj
305	DO ji = 1, jpi
306	IF ( a_i(ji,jj,jl) > epsi10 ) THEN
307	icells = icells + 1
308	indxi(icells) = ji
309	indxj(icells) = jj
310	ENDIF
311	END DO ! ji
312	END DO ! jj
313
314	DO ij = 1, icells
315
316	ji = indxi(ij)
317	jj = indxj(ij)
318
319	zhi = v_i(ji,jj,jl) / a_i(ji,jj,jl)
320	zhs = v_s(ji,jj,jl) / a_i(ji,jj,jl)
321
322	IF ( zhi < rn_himin) THEN !--- Remove ponds on thin ice if ice is too thin
323
324	a_ip(ji,jj,jl) = 0._wp !--- Dump ponds
325	v_ip(ji,jj,jl) = 0._wp
326	a_ip_frac(ji,jj,jl) = 0._wp
327	h_ip(ji,jj,jl) = 0._wp
328
329	IF ( ln_pnd_fw ) & !--- Give freshwater to the ocean
330	wfx_pnd(ji,jj) = wfx_pnd(ji,jj) + v_ip(ji,jj,jl)
331
332
333	ELSE !--- Update pond characteristics
334
335	!--- Add retained melt water to melt ponds
336	v_ip(ji,jj,jl) = v_ip(ji,jj,jl) + zrfrac(ji,jj,jl) * z1_rhofw * zwfx_mlw(ji,jj) * a_i(ji,jj,jl) * rdt_ice
337
338	!--- Shrink pond due to refreezing
339	zdTs = MAX ( zTp - t_su(ji,jj,jl) + rt0 , 0. )
340
341	zvpold = v_ip(ji,jj,jl)
342
343	v_ip(ji,jj,jl) = v_ip(ji,jj,jl) * EXP( zrexp * zdTs / zTp )
344
345	!--- Dump meltwater due to refreezing ( of course this is wrong
346	!--- but this parameterization is too simple )
347	IF ( ln_pnd_fw ) &
348	wfx_pnd(ji,jj) = wfx_pnd(ji,jj) + rhofw * ( v_ip(ji,jj,jl) - zvpold ) * r1_rdtice
349
350	a_ip_frac(ji,jj,jl) = MIN( 1._wp , SQRT( v_ip(ji,jj,jl) * z1_zpnd_aspect / a_i(ji,jj,jl) ) )
351
352	h_ip(ji,jj,jl) = zpnd_aspect * a_ip_frac(ji,jj,jl)
353
354	a_ip(ji,jj,jl) = a_ip_frac(ji,jj,jl) * a_i(ji,jj,jl)
355
356	!-----------------------------------------------------------
357	! Limit pond depth
358	!-----------------------------------------------------------
359	! hpondn = min(hpondn, dpthhi*hi)
360
361	!--- Give freshwater to the ocean ?
362
363	ENDIF
364
365	END DO
366
367	END DO ! jpl
368
369	!--- Remove retained meltwater from surface fluxes
370
371	IF ( ln_pnd_fw ) THEN
372
373	wfx_snw(:,:) = wfx_snw(:,:) * ( 1. - zrmin - ( zrmax - zrmin ) * at_i(:,:) )
374
375	wfx_sum(:,:) = wfx_sum(:,:) * ( 1. - zrmin - ( zrmax - zrmin ) * at_i(:,:) )
376
377	ENDIF
378
379	END SUBROUTINE lim_mp_cesm
380
381	SUBROUTINE lim_mp_topo (aice, aicen, &
382	vice, vicen, &
383	vsnon, &
384	ticen, salin, &
385	a_ip_frac, h_ip, &
386	Tsfc )
387	!!-------------------------------------------------------------------
388	!! * ROUTINE lim_mp_topo *
389	!!
390	!! ** Purpose : Compute melt pond evolution based on the ice
391	!! topography as inferred from the ice thickness
392	!! distribution.
393	!!
394	!! ** Method : This code is initially based on Flocco and Feltham
395	!! (2007) and Flocco et al. (2010). More to come...
396	!!
397	!! ** Tunable parameters :
398	!!
399	!! ** Note :
400	!!
401	!! ** References
402	!! Flocco, D. and D. L. Feltham, 2007. A continuum model of melt pond
403	!! evolution on Arctic sea ice. J. Geophys. Res. 112, C08016, doi:
404	!! 10.1029/2006JC003836.
405	!! Flocco, D., D. L. Feltham and A. K. Turner, 2010. Incorporation of
406	!! a physically based melt pond scheme into the sea ice component of a
407	!! climate model. J. Geophys. Res. 115, C08012,
408	!! doi: 10.1029/2009JC005568.
409	!!
410	!!-------------------------------------------------------------------
411
412	REAL (wp), DIMENSION (jpi,jpj), &
413	INTENT(IN) :: &
414	aice, & ! total ice area fraction
415	vice ! total ice volume (m)
416
417	REAL (wp), DIMENSION (jpi,jpj,jpl), &
418	INTENT(IN) :: &
419	aicen, & ! ice area fraction, per category
420	vsnon, & ! snow volume, per category (m)
421	vicen ! ice volume, per category (m)
422
423	REAL (wp), DIMENSION (jpi,jpj,nlay_i,jpl), &
424	INTENT(IN) :: &
425	ticen, & ! ice enthalpy, per category
426	salin
427
428	REAL (wp), DIMENSION (jpi,jpj,jpl), &
429	INTENT(INOUT) :: &
430	a_ip_frac , & ! pond area fraction of ice, per ice category
431	h_ip ! pond depth, per ice category (m)
432
433	REAL (wp), DIMENSION (jpi,jpj,jpl), &
434	INTENT(IN) :: &
435	Tsfc ! snow/sea ice surface temperature
436
437	! local variables
438	REAL (wp), DIMENSION (jpi,jpj,jpl) :: &
439	zTsfcn, & ! ice/snow surface temperature (C)
440	zvolpn, & ! pond volume per unit area, per category (m)
441	zvuin ! water-equivalent volume of ice lid on melt pond ('upper ice', m)
442
443	REAL (wp), DIMENSION (jpi,jpj,jpl) :: &
444	zapondn,& ! pond area fraction, per category
445	zhpondn ! pond depth, per category (m)
446
447	REAL (wp), DIMENSION (jpi,jpj) :: &
448	zvolp ! total volume of pond, per unit area of pond (m)
449
450	REAL (wp) :: &
451	zhi, & ! ice thickness (m)
452	zdHui, & ! change in thickness of ice lid (m)
453	zomega, & ! conduction
454	zdTice, & ! temperature difference across ice lid (C)
455	zdvice, & ! change in ice volume (m)
456	zTavg, & ! mean surface temperature across categories (C)
457	zTp, & ! pond freezing temperature (C)
458	zdvn ! change in melt pond volume for fresh water budget
459	INTEGER, DIMENSION (jpi*jpj) :: &
460	indxi, indxj ! compressed indices for cells with ice melting
461
462	INTEGER :: n,k,i,j,ij,icells,indxij ! loop indices
463
464	INTEGER, DIMENSION (jpl) :: &
465	kcells ! cells where ice lid combines with vice
466
467	INTEGER, DIMENSION (jpi*jpj,jpl) :: &
468	indxii, indxjj ! i,j indices for kcells loop
469
470	REAL (wp), parameter :: &
471	zhicemin = 0.1_wp , & ! minimum ice thickness with ponds (m)
472	zTd = 0.15_wp, & ! temperature difference for freeze-up (C)
473	zr1_rlfus = 1._wp / 0.334e+6 / 917._wp , & ! (J/m^3)
474	zmin_volp = 1.e-4_wp, & ! minimum pond volume (m)
475	z0 = 0._wp, &
476	zTimelt = 0._wp, &
477	z01 = 0.01_wp, &
478	z25 = 0.25_wp, &
479	z5 = 0.5_wp
480
481	!---------------------------------------------------------------
482	! Initialization
483	!---------------------------------------------------------------
484
485	zhpondn(:,:,:) = 0._wp
486	zapondn(:,:,:) = 0._wp
487	indxii(:,:) = 0
488	indxjj(:,:) = 0
489	kcells(:) = 0
490
491	zvolp(:,:) = wfx_sum(:,:) + wfx_snw(:,:) + vt_ip(:,:) ! Total available melt water, to be distributed as melt ponds
492	zTsfcn(:,:,:) = zTsfcn(:,:,:) - rt0 ! Convert in Celsius
493
494	! The freezing temperature for meltponds is assumed slightly below 0C,
495	! as if meltponds had a little salt in them. The salt budget is not
496	! altered for meltponds, but if it were then an actual pond freezing
497	! temperature could be computed.
498
499	! zTp = zTimelt - zTd ---> for lids
500
501	!-----------------------------------------------------------------
502	! Identify grid cells with ponds
503	!-----------------------------------------------------------------
504
505	icells = 0
506	DO j = 1, jpj
507	DO i = 1, jpi
508	zhi = z0
509	IF (aice(i,j) > epsi10 ) zhi = vice(i,j)/aice(i,j)
510	IF ( aice(i,j) > z01 .and. zhi > zhicemin .and. &
511	zvolp(i,j) > zmin_volp*aice(i,j)) THEN
512	icells = icells + 1
513	indxi(icells) = i
514	indxj(icells) = j
515	ELSE ! remove ponds on thin ice
516	!fpond(i,j) = fpond(i,j) - zvolp(i,j)
517	zvolpn(i,j,:) = z0
518	zvuin (i,j,:) = z0
519	zvolp (i,j) = z0
520	END IF
521	END DO ! i
522	END DO ! j
523
524	DO ij = 1, icells
525	i = indxi(ij)
526	j = indxj(ij)
527
528	!--------------------------------------------------------------
529	! calculate pond area and depth
530	!--------------------------------------------------------------
531	CALL lim_mp_area(aice(i,j),vice(i,j), &
532	aicen(i,j,:), vicen(i,j,:), vsnon(i,j,:), &
533	ticen(i,j,:,:), salin(i,j,:,:), &
534	zvolpn(i,j,:), zvolp(i,j), &
535	zapondn(i,j,:),zhpondn(i,j,:), zdvn)
536	! outputs are
537	! - zdvn
538	! - zvolpn
539	! - zvolp
540	! - zapondn
541	! - zhpondn
542
543	wfx_pnd(i,j) = wfx_pnd(i,j) + zdvn ! update flux from ponds to ocean
544
545	! mean surface temperature MV - why do we need that ? --> for the lid
546
547	! zTavg = z0
548	! DO n = 1, jpl
549	! zTavg = zTavg + zTsfcn(i,j,n)*aicen(i,j,n)
550	! END DO
551	! zTavg = zTavg / aice(i,j)
552
553	END DO ! ij
554
555	!---------------------------------------------------------------
556	! Update pond volume and fraction
557	!---------------------------------------------------------------
558
559	a_ip(:,:,:) = zapondn(:,:,:)
560	v_ip(:,:,:) = zapondn(:,:,:) * zhpondn(:,:,:)
561	a_ip_frac(:,:,:) = 0._wp
562	h_ip (:,:,:) = 0._wp
563
564	END SUBROUTINE lim_mp_topo
565
566	SUBROUTINE lim_mp_area(aice,vice, &
567	aicen, vicen, vsnon, ticen, &
568	salin, zvolpn, zvolp, &
569	zapondn,zhpondn,dvolp)
570
571	!!-------------------------------------------------------------------
572	!! * ROUTINE lim_mp_area *
573	!!
574	!! ** Purpose : Given the total volume of meltwater, update
575	!! pond fraction (a_ip) and depth (should be volume)
576	!!
577	!! **
578	!!
579	!!------------------------------------------------------------------
580
581	REAL (wp), INTENT(IN) :: &
582	aice,vice
583
584	REAL (wp), DIMENSION(jpl), INTENT(IN) :: &
585	aicen, vicen, vsnon
586
587	REAL (wp), DIMENSION(nlay_i,jpl), INTENT(IN) :: &
588	ticen, salin
589
590	REAL (wp), DIMENSION(jpl), INTENT(INOUT) :: &
591	zvolpn
592
593	REAL (wp), INTENT(INOUT) :: &
594	zvolp, dvolp
595
596	REAL (wp), DIMENSION(jpl), INTENT(OUT) :: &
597	zapondn, zhpondn
598
599	INTEGER :: &
600	n, ns, &
601	m_index, &
602	permflag
603
604	REAL (wp), DIMENSION(jpl) :: &
605	hicen, &
606	hsnon, &
607	asnon, &
608	alfan, &
609	betan, &
610	cum_max_vol, &
611	reduced_aicen
612
613	REAL (wp), DIMENSION(0:jpl) :: &
614	cum_max_vol_tmp
615
616	REAL (wp) :: &
617	hpond, &
618	drain, &
619	floe_weight, &
620	pressure_head, &
621	hsl_rel, &
622	deltah, &
623	perm, &
624	msno
625
626	REAL (wp), parameter :: &
627	viscosity = 1.79e-3_wp, & ! kinematic water viscosity in kg/m/s
628	z0 = 0.0_wp , &
629	c1 = 1.0_wp , &
630	p4 = 0.4_wp , &
631	p6 = 0.6_wp , &
632	epsi10 = 1.0e-11_wp
633
634	!-----------\|
635	! \|
636	! \|-----------\|
637	!___________\|___________\|______________________________________sea-level
638	! \| \|
639	! \| \|---^--------\|
640	! \| \| \| \|
641	! \| \| \| \|-----------\| \|-------
642	! \| \| \|alfan(n)\| \| \|
643	! \| \| \| \| \|--------------\|
644	! \| \| \| \| \| \|
645	!---------------------------v-------------------------------------------
646	! \| \| ^ \| \| \|
647	! \| \| \| \| \|--------------\|
648	! \| \| \|betan(n)\| \| \|
649	! \| \| \| \|-----------\| \|-------
650	! \| \| \| \|
651	! \| \|---v------- \|
652	! \| \|
653	! \|-----------\|
654	! \|
655	!-----------\|
656
657	!-------------------------------------------------------------------
658	! initialize
659	!-------------------------------------------------------------------
660
661	DO n = 1, jpl
662
663	zapondn(n) = z0
664	zhpondn(n) = z0
665
666	!----------------------------------------
667	! X) compute the effective snow fraction
668	!----------------------------------------
669	IF (aicen(n) < epsi10) THEN
670	hicen(n) = z0
671	hsnon(n) = z0
672	reduced_aicen(n) = z0
673	ELSE
674	hicen(n) = vicen(n) / aicen(n)
675	hsnon(n) = vsnon(n) / aicen(n)
676	reduced_aicen(n) = c1 ! n=jpl
677	IF (n < jpl) reduced_aicen(n) = aicen(n) &
678	* (-0.024_wp*hicen(n) + 0.832_wp)
679	asnon(n) = reduced_aicen(n) ! effective snow fraction (empirical)
680	! MV should check whether this makes sense to have the same effective snow fraction in here
681	END IF
682
683	! This choice for alfa and beta ignores hydrostatic equilibium of categories.
684	! Hydrostatic equilibium of the entire ITD is accounted for below, assuming
685	! a surface topography implied by alfa=0.6 and beta=0.4, and rigidity across all
686	! categories. alfa and beta partition the ITD - they are areas not thicknesses!
687	! Multiplying by hicen, alfan and betan (below) are thus volumes per unit area.
688	! Here, alfa = 60% of the ice area (and since hice is constant in a category,
689	! alfan = 60% of the ice volume) in each category lies above the reference line,
690	! and 40% below. Note: p6 is an arbitrary choice, but alfa+beta=1 is required.
691
692	! MV:
693	! Note that this choice is not in the original FF07 paper and has been adopted in CICE
694	! No reason why is explained in the doc, but I guess there is a reason. I'll try to investigate, maybe
695
696	! Where does that choice come from
697
698	alfan(n) = 0.6 * hicen(n)
699	betan(n) = 0.4 * hicen(n)
700
701	cum_max_vol(n) = z0
702	cum_max_vol_tmp(n) = z0
703
704	END DO ! jpl
705
706	cum_max_vol_tmp(0) = z0
707	drain = z0
708	dvolp = z0
709
710	!----------------------------------------------------------
711	! x) Drain overflow water, update pond fraction and volume
712	!----------------------------------------------------------
713
714	!--------------------------------------------------------------------------
715	! the maximum amount of water that can be contained up to each ice category
716	!--------------------------------------------------------------------------
717
718	! MV
719	! If melt ponds are too deep to be sustainable given the ITD (OVERFLOW)
720	! Then the excess volume cum_max_vol(jl) drains out of the system
721	! It should be added to wfx_pnd
722	! END MV
723
724	DO n = 1, jpl-1 ! last category can not hold any volume
725
726	IF (alfan(n+1) >= alfan(n) .and. alfan(n+1) > z0) THEN
727
728	! total volume in level including snow
729	cum_max_vol_tmp(n) = cum_max_vol_tmp(n-1) + &
730	(alfan(n+1) - alfan(n)) * sum(reduced_aicen(1:n))
731
732	! subtract snow solid volumes from lower categories in current level
733	DO ns = 1, n
734	cum_max_vol_tmp(n) = cum_max_vol_tmp(n) &
735	- rhosn/rhofw * & ! free air fraction that can be filled by water
736	asnon(ns) * & ! effective areal fraction of snow in that category
737	max(min(hsnon(ns)+alfan(ns)-alfan(n), alfan(n+1)- &
738	alfan(n)), z0)
739	END DO
740
741	ELSE ! assume higher categories unoccupied
742	cum_max_vol_tmp(n) = cum_max_vol_tmp(n-1)
743	END IF
744	!IF (cum_max_vol_tmp(n) < z0) THEN
745	! call abort_ice('negative melt pond volume')
746	!END IF
747	END DO
748	cum_max_vol_tmp(jpl) = cum_max_vol_tmp(jpl-1) ! last category holds no volume
749	cum_max_vol (1:jpl) = cum_max_vol_tmp(1:jpl)
750
751	!----------------------------------------------------------------
752	! is there more meltwater than can be held in the floe?
753	!----------------------------------------------------------------
754	IF (zvolp >= cum_max_vol(jpl)) THEN
755	drain = zvolp - cum_max_vol(jpl) + epsi10
756	zvolp = zvolp - drain ! update meltwater volume available
757	dvolp = drain ! this is the drained water
758	IF (zvolp < epsi10) THEN
759	dvolp = dvolp + zvolp
760	zvolp = z0
761	END IF
762	END IF
763
764	! height and area corresponding to the remaining volume
765
766	! call calc_hpond(reduced_aicen, asnon, hsnon, rhos, alfan, &
767	! zvolp, cum_max_vol, hpond, m_index)
768
769	DO n=1, m_index
770	zhpondn(n) = hpond - alfan(n) + alfan(1) ! here oui choulde update
771	! volume instead, no ?
772	zapondn(n) = reduced_aicen(n)
773	! in practise, pond fraction depends on the empirical snow fraction
774	! so in turn on ice thickness
775	END DO
776
777	!------------------------------------------------------------------------
778	! Drainage through brine network (permeability)
779	!------------------------------------------------------------------------
780	!!! drainage due to ice permeability - Darcy's law
781
782	! sea water level
783	msno = z0
784	DO n=1,jpl
785	msno = msno + vsnon(n) * rhosn
786	END DO
787	floe_weight = (msno + rhoicvice + rau0zvolp) / aice
788	hsl_rel = floe_weight / rau0 &
789	- ((sum(betan(:)*aicen(:))/aice) + alfan(1))
790
791	deltah = hpond - hsl_rel
792	pressure_head = grav * rau0 * max(deltah, z0)
793
794	! drain IF ice is permeable
795	permflag = 0
796	IF (pressure_head > z0) THEN
797	DO n = 1, jpl-1
798	IF (hicen(n) /= z0) THEN
799	perm = 0. ! MV ugly dummy patch
800	CALL lim_mp_perm(ticen(:,n), salin(:,n), vicen(n), perm)
801	IF (perm > z0) permflag = 1
802
803	drain = permzapondn(n)pressure_head*rdt_ice / &
804	(viscosity*hicen(n))
805	dvolp = dvolp + min(drain, zvolp)
806	zvolp = max(zvolp - drain, z0)
807	IF (zvolp < epsi10) THEN
808	dvolp = dvolp + zvolp
809	zvolp = z0
810	END IF
811	END IF
812	END DO
813
814	! adjust melt pond DIMENSIONs
815	IF (permflag > 0) THEN
816	! recompute pond depth
817	! CALL calc_hpond(reduced_aicen, asnon, hsnon, rhos, alfan, &
818	! zvolp, cum_max_vol, hpond, m_index)
819	DO n=1, m_index
820	zhpondn(n) = hpond - alfan(n) + alfan(1)
821	zapondn(n) = reduced_aicen(n)
822	END DO
823	END IF
824	END IF ! pressure_head
825
826	!-------------------------------
827	! X) remove water from the snow
828	!-------------------------------
829	!------------------------------------------------------------------------
830	! total melt pond volume in category DOes not include snow volume
831	! snow in melt ponds is not melted
832	!------------------------------------------------------------------------
833
834	! Calculate pond volume for lower categories
835	DO n=1,m_index-1
836	zvolpn(n) = zapondn(n) * zhpondn(n) & ! what is not in the snow
837	- (rhosn/rhofw) * asnon(n) * min(hsnon(n), zhpondn(n))
838	END DO
839
840	! Calculate pond volume for highest category = remaining pond volume
841
842	! The following is completely unclear to Martin at least
843	! Could we redefine properly and recode in a more readable way ?
844
845	! m_index = last category with melt pond
846
847	IF (m_index == 1) zvolpn(m_index) = zvolp ! volume of mw in 1st category is the total volume of melt water
848
849	IF (m_index > 1) THEN
850	IF (zvolp > sum(zvolpn(1:m_index-1))) THEN
851	zvolpn(m_index) = zvolp - sum(zvolpn(1:m_index-1)) !
852	ELSE
853	zvolpn(m_index) = z0
854	zhpondn(m_index) = z0
855	zapondn(m_index) = z0
856	! If remaining pond volume is negative reduce pond volume of
857	! lower category
858	IF (zvolp+epsi10 < sum(zvolpn(1:m_index-1))) &
859	zvolpn(m_index-1) = zvolpn(m_index-1)-sum(zvolpn(1:m_index-1))&
860	+ zvolp
861	END IF
862	END IF
863
864	DO n=1,m_index
865	IF (zapondn(n) > epsi10) THEN
866	zhpondn(n) = zvolpn(n) / zapondn(n)
867	ELSE
868	dvolp = dvolp + zvolpn(n)
869	zhpondn(n) = z0
870	zvolpn(n) = z0
871	zapondn(n) = z0
872	end IF
873	END DO
874	DO n = m_index+1, jpl
875	zhpondn(n) = z0
876	zapondn(n) = z0
877	zvolpn (n) = z0
878	END DO
879
880	END SUBROUTINE lim_mp_area
881
882	!OLI_CODE
883	!OLI_CODE
884	!OLI_CODE SUBROUTINE calc_hpond(aicen, asnon, hsnon, rhos, alfan, &
885	!OLI_CODE zvolp, cum_max_vol, &
886	!OLI_CODE hpond, m_index)
887	!OLI_CODE !!-------------------------------------------------------------------
888	!OLI_CODE !! * ROUTINE calc_hpond *
889	!OLI_CODE !!
890	!OLI_CODE !! ** Purpose : Compute melt pond depth
891	!OLI_CODE !!-------------------------------------------------------------------
892	!OLI_CODE
893	!OLI_CODE REAL (wp), DIMENSION(jpl), INTENT(IN) :: &
894	!OLI_CODE aicen, &
895	!OLI_CODE asnon, &
896	!OLI_CODE hsnon, &
897	!OLI_CODE rhos, &
898	!OLI_CODE alfan, &
899	!OLI_CODE cum_max_vol
900	!OLI_CODE
901	!OLI_CODE REAL (wp), INTENT(IN) :: &
902	!OLI_CODE zvolp
903	!OLI_CODE
904	!OLI_CODE REAL (wp), INTENT(OUT) :: &
905	!OLI_CODE hpond
906	!OLI_CODE
907	!OLI_CODE INTEGER, INTENT(OUT) :: &
908	!OLI_CODE m_index
909	!OLI_CODE
910	!OLI_CODE INTEGER :: n, ns
911	!OLI_CODE
912	!OLI_CODE REAL (wp), DIMENSION(0:jpl+1) :: &
913	!OLI_CODE hitl, &
914	!OLI_CODE aicetl
915	!OLI_CODE
916	!OLI_CODE REAL (wp) :: &
917	!OLI_CODE rem_vol, &
918	!OLI_CODE area, &
919	!OLI_CODE vol, &
920	!OLI_CODE tmp, &
921	!OLI_CODE z0 = 0.0_wp, &
922	!OLI_CODE epsi10 = 1.0e-11_wp
923	!OLI_CODE
924	!OLI_CODE !----------------------------------------------------------------
925	!OLI_CODE ! hpond is zero if zvolp is zero - have we fully drained?
926	!OLI_CODE !----------------------------------------------------------------
927	!OLI_CODE
928	!OLI_CODE IF (zvolp < epsi10) THEN
929	!OLI_CODE hpond = z0
930	!OLI_CODE m_index = 0
931	!OLI_CODE ELSE
932	!OLI_CODE
933	!OLI_CODE !----------------------------------------------------------------
934	!OLI_CODE ! Calculate the category where water fills up to
935	!OLI_CODE !----------------------------------------------------------------
936	!OLI_CODE
937	!OLI_CODE !----------\|
938	!OLI_CODE ! \|
939	!OLI_CODE ! \|
940	!OLI_CODE ! \|----------\| -- --
941	!OLI_CODE !__________\|__________\|_________________________________________ ^
942	!OLI_CODE ! \| \| rem_vol ^ \| Semi-filled
943	!OLI_CODE ! \| \|----------\|-- -- -- - ---\|-- ---- -- -- --v layer
944	!OLI_CODE ! \| \| \| \|
945	!OLI_CODE ! \| \| \| \|hpond
946	!OLI_CODE ! \| \| \|----------\| \| \|-------
947	!OLI_CODE ! \| \| \| \| \| \|
948	!OLI_CODE ! \| \| \| \|---v-----\|
949	!OLI_CODE ! \| \| m_index \| \| \|
950	!OLI_CODE !-------------------------------------------------------------
951	!OLI_CODE
952	!OLI_CODE m_index = 0 ! 1:m_index categories have water in them
953	!OLI_CODE DO n = 1, jpl
954	!OLI_CODE IF (zvolp <= cum_max_vol(n)) THEN
955	!OLI_CODE m_index = n
956	!OLI_CODE IF (n == 1) THEN
957	!OLI_CODE rem_vol = zvolp
958	!OLI_CODE ELSE
959	!OLI_CODE rem_vol = zvolp - cum_max_vol(n-1)
960	!OLI_CODE END IF
961	!OLI_CODE exit ! to break out of the loop
962	!OLI_CODE END IF
963	!OLI_CODE END DO
964	!OLI_CODE m_index = min(jpl-1, m_index)
965	!OLI_CODE
966	!OLI_CODE !----------------------------------------------------------------
967	!OLI_CODE ! semi-filled layer may have m_index different snow in it
968	!OLI_CODE !----------------------------------------------------------------
969	!OLI_CODE
970	!OLI_CODE !----------------------------------------------------------- ^
971	!OLI_CODE ! \| alfan(m_index+1)
972	!OLI_CODE ! \|
973	!OLI_CODE !hitl(3)--> \|----------\| \|
974	!OLI_CODE !hitl(2)--> \|------------\| * * * * *\| \|
975	!OLI_CODE !hitl(1)--> \|----------\|* * * * * * \|* * * * * \| \|
976	!OLI_CODE !hitl(0)-->------------------------------------------------- \| ^
977	!OLI_CODE ! various snow from lower categories \| \|alfa(m_index)
978	!OLI_CODE
979	!OLI_CODE ! hitl - heights of the snow layers from thinner and current categories
980	!OLI_CODE ! aicetl - area of each snow depth in this layer
981	!OLI_CODE
982	!OLI_CODE hitl(:) = z0
983	!OLI_CODE aicetl(:) = z0
984	!OLI_CODE DO n = 1, m_index
985	!OLI_CODE hitl(n) = max(min(hsnon(n) + alfan(n) - alfan(m_index), &
986	!OLI_CODE alfan(m_index+1) - alfan(m_index)), z0)
987	!OLI_CODE aicetl(n) = asnon(n)
988	!OLI_CODE
989	!OLI_CODE aicetl(0) = aicetl(0) + (aicen(n) - asnon(n))
990	!OLI_CODE END DO
991	!OLI_CODE hitl(m_index+1) = alfan(m_index+1) - alfan(m_index)
992	!OLI_CODE aicetl(m_index+1) = z0
993	!OLI_CODE
994	!OLI_CODE !----------------------------------------------------------------
995	!OLI_CODE ! reorder array according to hitl
996	!OLI_CODE ! snow heights not necessarily in height order
997	!OLI_CODE !----------------------------------------------------------------
998	!OLI_CODE
999	!OLI_CODE DO ns = 1, m_index+1
1000	!OLI_CODE DO n = 0, m_index - ns + 1
1001	!OLI_CODE IF (hitl(n) > hitl(n+1)) THEN ! swap order
1002	!OLI_CODE tmp = hitl(n)
1003	!OLI_CODE hitl(n) = hitl(n+1)
1004	!OLI_CODE hitl(n+1) = tmp
1005	!OLI_CODE tmp = aicetl(n)
1006	!OLI_CODE aicetl(n) = aicetl(n+1)
1007	!OLI_CODE aicetl(n+1) = tmp
1008	!OLI_CODE END IF
1009	!OLI_CODE END DO
1010	!OLI_CODE END DO
1011	!OLI_CODE
1012	!OLI_CODE !----------------------------------------------------------------
1013	!OLI_CODE ! divide semi-filled layer into set of sublayers each vertically homogenous
1014	!OLI_CODE !----------------------------------------------------------------
1015	!OLI_CODE
1016	!OLI_CODE !hitl(3)----------------------------------------------------------------
1017	!OLI_CODE ! \| * * * * * * * *
1018	!OLI_CODE ! \|* * * * * * * * *
1019	!OLI_CODE !hitl(2)----------------------------------------------------------------
1020	!OLI_CODE ! \| * * * * * * * * \| * * * * * * * *
1021	!OLI_CODE ! \|* * * * * * * * * \|* * * * * * * * *
1022	!OLI_CODE !hitl(1)----------------------------------------------------------------
1023	!OLI_CODE ! \| * * * * * * * * \| * * * * * * * * \| * * * * * * * *
1024	!OLI_CODE ! \|* * * * * * * * * \|* * * * * * * * * \|* * * * * * * * *
1025	!OLI_CODE !hitl(0)----------------------------------------------------------------
1026	!OLI_CODE ! aicetl(0) aicetl(1) aicetl(2) aicetl(3)
1027	!OLI_CODE
1028	!OLI_CODE ! move up over layers incrementing volume
1029	!OLI_CODE DO n = 1, m_index+1
1030	!OLI_CODE
1031	!OLI_CODE area = sum(aicetl(:)) - & ! total area of sub-layer
1032	!OLI_CODE (rhos(n)/rau0) * sum(aicetl(n:jpl+1)) ! area of sub-layer occupied by snow
1033	!OLI_CODE
1034	!OLI_CODE vol = (hitl(n) - hitl(n-1)) * area ! thickness of sub-layer times area
1035	!OLI_CODE
1036	!OLI_CODE IF (vol >= rem_vol) THEN ! have reached the sub-layer with the depth within
1037	!OLI_CODE hpond = rem_vol / area + hitl(n-1) + alfan(m_index) - &
1038	!OLI_CODE alfan(1)
1039	!OLI_CODE exit
1040	!OLI_CODE ELSE ! still in sub-layer below the sub-layer with the depth
1041	!OLI_CODE rem_vol = rem_vol - vol
1042	!OLI_CODE END IF
1043	!OLI_CODE
1044	!OLI_CODE END DO
1045	!OLI_CODE
1046	!OLI_CODE END IF
1047	!OLI_CODE
1048	!OLI_CODE END SUBROUTINE calc_hpond
1049	!OLI_CODE
1050	!OLI_CODE
1051	SUBROUTINE lim_mp_perm(ticen, salin, vicen, perm)
1052	!!-------------------------------------------------------------------
1053	!! * ROUTINE lim_mp_perm *
1054	!!
1055	!! ** Purpose : Determine the liquid fraction of brine in the ice
1056	!! and its permeability
1057	!!-------------------------------------------------------------------
1058	REAL (wp), DIMENSION(nlay_i), INTENT(IN) :: &
1059	ticen, & ! energy of melting for each ice layer (J/m2)
1060	salin
1061
1062	REAL (wp), INTENT(IN) :: &
1063	vicen ! ice volume
1064
1065	REAL (wp), INTENT(OUT) :: &
1066	perm ! permeability
1067
1068	REAL (wp) :: &
1069	Sbr ! brine salinity
1070
1071	REAL (wp), DIMENSION(nlay_i) :: &
1072	Tin, & ! ice temperature
1073	phi ! liquid fraction
1074
1075	INTEGER :: k
1076
1077	REAL (wp) :: &
1078	c2 = 2.0_wp
1079
1080	!-----------------------------------------------------------------
1081	! Compute ice temperatures from enthalpies using quadratic formula
1082	!-----------------------------------------------------------------
1083
1084	DO k = 1,nlay_i
1085	Tin(k) = ticen(k)
1086	END DO
1087
1088	!-----------------------------------------------------------------
1089	! brine salinity and liquid fraction
1090	!-----------------------------------------------------------------
1091
1092	IF (maxval(Tin-rtt) <= -c2) THEN
1093
1094	DO k = 1,nlay_i
1095	Sbr = - 1.2_wp &
1096	-21.8_wp * (Tin(k)-rtt) &
1097	- 0.919_wp * (Tin(k)-rtt)**2 &
1098	- 0.01878_wp * (Tin(k)-rtt)**3
1099	phi(k) = salin(k)/Sbr ! liquid fraction
1100	END DO ! k
1101
1102	ELSE
1103
1104	DO k = 1,nlay_i
1105	Sbr = -17.6_wp * (Tin(k)-rtt) &
1106	- 0.389_wp * (Tin(k)-rtt)**2 &
1107	- 0.00362_wp* (Tin(k)-rtt)**3
1108	phi(k) = salin(k)/Sbr ! liquid fraction
1109	END DO
1110
1111	END IF
1112
1113	!-----------------------------------------------------------------
1114	! permeability
1115	!-----------------------------------------------------------------
1116
1117	perm = 3.0e-08_wp * (minval(phi))**3 ! REFERENCE PLEASE (this fucking
1118	! bastard of Golden)
1119
1120	END SUBROUTINE lim_mp_perm
1121	!OLI_CODE
1122	!OLI_CODE #else
1123	!OLI_CODE !!----------------------------------------------------------------------
1124	!OLI_CODE !! Default option Dummy Module No LIM-3 sea-ice model
1125	!OLI_CODE !!----------------------------------------------------------------------
1126	!OLI_CODE CONTAINS
1127	!OLI_CODE SUBROUTINE lim_mp_init ! Empty routine
1128	!OLI_CODE END SUBROUTINE lim_mp_init
1129	!OLI_CODE SUBROUTINE lim_mp ! Empty routine
1130	!OLI_CODE END SUBROUTINE lim_mp
1131	!OLI_CODE SUBROUTINE compute_mp_topo ! Empty routine
1132	!OLI_CODE END SUBROUTINE compute_mp_topo
1133	!OLI_CODE SUBROUTINE pond_area ! Empty routine
1134	!OLI_CODE END SUBROUTINE pond_area
1135	!OLI_CODE SUBROUTINE calc_hpond ! Empty routine
1136	!OLI_CODE END SUBROUTINE calc_hpond
1137	!OLI_CODE SUBROUTINE permeability_phy ! Empty routine
1138	!OLI_CODE END SUBROUTINE permeability_phy
1139	!OLI_CODE #endif
1140	!OLI_CODE !!======================================================================
1141	!OLI_CODE END MODULE limmp_topo
1142
1143
1144	!OLI_CODE MODULE limmp_topo
1145	!OLI_CODE !!======================================================================
1146	!OLI_CODE !! * MODULE limmp_topo *
1147	!OLI_CODE !! LIM-3 sea-ice : computation of melt ponds' properties
1148	!OLI_CODE !!======================================================================
1149	!OLI_CODE !! History : Original code by Daniela Flocco and Adrian Turner
1150	!OLI_CODE !! ! 2012-09 (O. Lecomte) Adaptation for routine inclusion in
1151	!OLI_CODE !! NEMO-LIM3.1
1152	!OLI_CODE !! ! 2016-11 (O. Lecomte, C. Rousset, M. Vancoppenolle)
1153	!OLI_CODE !! Adaptation for merge with NEMO-LIM3.6
1154	!OLI_CODE !!----------------------------------------------------------------------
1155	!OLI_CODE #if defined key_lim3
1156	!OLI_CODE !!----------------------------------------------------------------------
1157	!OLI_CODE !! 'key_lim3' LIM-3 sea-ice model
1158	!OLI_CODE !!----------------------------------------------------------------------
1159	!OLI_CODE !! lim_mp_init : melt pond properties initialization
1160	!OLI_CODE !! lim_mp : melt pond routine caller
1161	!OLI_CODE !! compute_mp_topo : Actual melt pond routine
1162	!OLI_CODE !!----------------------------------------------------------------------
1163	!OLI_CODE USE ice_oce, ONLY: rdt_ice, tatm_ice
1164	!OLI_CODE USE phycst
1165	!OLI_CODE USE dom_ice
1166	!OLI_CODE USE dom_oce
1167	!OLI_CODE USE sbc_oce
1168	!OLI_CODE USE sbc_ice
1169	!OLI_CODE USE par_ice
1170	!OLI_CODE USE par_oce
1171	!OLI_CODE USE ice
1172	!OLI_CODE USE thd_ice
1173	!OLI_CODE USE in_out_manager
1174	!OLI_CODE USE lbclnk
1175	!OLI_CODE USE lib_mpp
1176	!OLI_CODE
1177	!OLI_CODE IMPLICIT NONE
1178	!OLI_CODE PRIVATE
1179	!OLI_CODE
1180	!OLI_CODE PUBLIC lim_mp_init
1181	!OLI_CODE PUBLIC lim_mp
1182	!OLI_CODE
1183	!OLI_CODE CONTAINS
1184	!OLI_CODE
1185	!OLI_CODE SUBROUTINE lim_mp_init
1186	!OLI_CODE !!-------------------------------------------------------------------
1187	!OLI_CODE !! * ROUTINE lim_mp_init *
1188	!OLI_CODE !!
1189	!OLI_CODE !! ** Purpose : Initialize melt ponds
1190	!OLI_CODE !!-------------------------------------------------------------------
1191	!OLI_CODE a_ip_frac(:,:,:) = 0._wp
1192	!OLI_CODE a_ip(:,:,:) = 0._wp
1193	!OLI_CODE h_ip(:,:,:) = 0._wp
1194	!OLI_CODE v_ip(:,:,:) = 0._wp
1195	!OLI_CODE h_il(:,:,:) = 0._wp
1196	!OLI_CODE v_il(:,:,:) = 0._wp
1197	!OLI_CODE
1198	!OLI_CODE END SUBROUTINE lim_mp_init
1199	!OLI_CODE
1200	!OLI_CODE
1201	!OLI_CODE SUBROUTINE lim_mp
1202	!OLI_CODE !!-------------------------------------------------------------------
1203	!OLI_CODE !! * ROUTINE lim_mp *
1204	!OLI_CODE !!
1205	!OLI_CODE !! ** Purpose : Compute surface heat flux and call main melt pond
1206	!OLI_CODE !! routine
1207	!OLI_CODE !!-------------------------------------------------------------------
1208	!OLI_CODE
1209	!OLI_CODE INTEGER :: ji, jj, jl ! dummy loop indices
1210	!OLI_CODE
1211	!OLI_CODE fsurf(:,:) = 0.e0
1212	!OLI_CODE DO jl = 1, jpl
1213	!OLI_CODE DO jj = 1, jpj
1214	!OLI_CODE DO ji = 1, jpi
1215	!OLI_CODE fsurf(ji,jj) = fsurf(ji,jj) + a_i(ji,jj,jl) * &
1216	!OLI_CODE (qns_ice(ji,jj,jl) + (1.0 - izero(ji,jj,jl)) &
1217	!OLI_CODE * qsr_ice(ji,jj,jl))
1218	!OLI_CODE END DO
1219	!OLI_CODE END DO
1220	!OLI_CODE END DO
1221	!OLI_CODE
1222	!OLI_CODE CALL compute_mp_topo(at_i, a_i, &
1223	!OLI_CODE vt_i, v_i, v_s, rhosn_glo, t_i, s_i, a_ip_frac, &
1224	!OLI_CODE h_ip, h_il, t_su, tatm_ice, diag_sur_me*rdt_ice, &
1225	!OLI_CODE fsurf, fwoc)
1226	!OLI_CODE
1227	!OLI_CODE at_ip(:,:) = 0.0
1228	!OLI_CODE vt_ip(:,:) = 0.0
1229	!OLI_CODE vt_il(:,:) = 0.0
1230	!OLI_CODE DO jl = 1, jpl
1231	!OLI_CODE DO jj = 1, jpj
1232	!OLI_CODE DO ji = 1, jpi
1233	!OLI_CODE a_ip(ji,jj,jl) = MAX(0.0_wp, a_ip_frac(ji,jj,jl) * &
1234	!OLI_CODE a_i(ji,jj,jl))
1235	!OLI_CODE v_ip(ji,jj,jl) = MAX(0.0_wp, a_ip_frac(ji,jj,jl) * &
1236	!OLI_CODE a_i(ji,jj,jl) * h_ip(ji,jj,jl))
1237	!OLI_CODE v_il(ji,jj,jl) = MAX(0.0_wp, a_ip_frac(ji,jj,jl) * &
1238	!OLI_CODE a_i(ji,jj,jl) * h_il(ji,jj,jl))
1239	!OLI_CODE at_ip(ji,jj) = at_ip(ji,jj) + a_ip(ji,jj,jl)
1240	!OLI_CODE vt_ip(ji,jj) = vt_ip(ji,jj) + v_ip(ji,jj,jl)
1241	!OLI_CODE vt_il(ji,jj) = vt_il(ji,jj) + v_il(ji,jj,jl)
1242	!OLI_CODE END DO
1243	!OLI_CODE END DO
1244	!OLI_CODE END DO
1245	!OLI_CODE
1246	!OLI_CODE END SUBROUTINE lim_mp
1247	!OLI_CODE
1248	!OLI_CODE
1249	!OLI_CODE SUBROUTINE compute_mp_topo(aice, aicen, &
1250	!OLI_CODE vice, vicen, &
1251	!OLI_CODE vsnon, rhos, &
1252	!OLI_CODE ticen, salin, &
1253	!OLI_CODE a_ip_frac, h_ip, &
1254	!OLI_CODE h_il, Tsfc, &
1255	!OLI_CODE potT, meltt, &
1256	!OLI_CODE fsurf, fwoc)
1257	!OLI_CODE !!-------------------------------------------------------------------
1258	!OLI_CODE !! * ROUTINE compute_mp_topo *
1259	!OLI_CODE !!
1260	!OLI_CODE !! ** Purpose : Compute melt pond evolution based on the ice
1261	!OLI_CODE !! topography as inferred from the ice thickness
1262	!OLI_CODE !! distribution.
1263	!OLI_CODE !!
1264	!OLI_CODE !! ** Method : This code is initially based on Flocco and Feltham
1265	!OLI_CODE !! (2007) and Flocco et al. (2010). More to come...
1266	!OLI_CODE !!
1267	!OLI_CODE !! ** Tunable parameters :
1268	!OLI_CODE !!
1269	!OLI_CODE !! ** Note :
1270	!OLI_CODE !!
1271	!OLI_CODE !! ** References
1272	!OLI_CODE !! Flocco, D. and D. L. Feltham, 2007. A continuum model of melt pond
1273	!OLI_CODE !! evolution on Arctic sea ice. J. Geophys. Res. 112, C08016, doi:
1274	!OLI_CODE !! 10.1029/2006JC003836.
1275	!OLI_CODE !! Flocco, D., D. L. Feltham and A. K. Turner, 2010. Incorporation of
1276	!OLI_CODE !! a physically based melt pond scheme into the sea ice component of a
1277	!OLI_CODE !! climate model. J. Geophys. Res. 115, C08012,
1278	!OLI_CODE !! doi: 10.1029/2009JC005568.
1279	!OLI_CODE !!
1280	!OLI_CODE !!-------------------------------------------------------------------
1281	!OLI_CODE
1282	!OLI_CODE REAL (wp), DIMENSION (jpi,jpj), &
1283	!OLI_CODE INTENT(IN) :: &
1284	!OLI_CODE aice, & ! total ice area fraction
1285	!OLI_CODE vice ! total ice volume (m)
1286	!OLI_CODE
1287	!OLI_CODE REAL (wp), DIMENSION (jpi,jpj,jpl), &
1288	!OLI_CODE INTENT(IN) :: &
1289	!OLI_CODE aicen, & ! ice area fraction, per category
1290	!OLI_CODE vsnon, & ! snow volume, per category (m)
1291	!OLI_CODE rhos, & ! equivalent snow density, per category (kg/m^3)
1292	!OLI_CODE vicen ! ice volume, per category (m)
1293	!OLI_CODE
1294	!OLI_CODE REAL (wp), DIMENSION (jpi,jpj,nlay_i,jpl), &
1295	!OLI_CODE INTENT(IN) :: &
1296	!OLI_CODE ticen, & ! ice enthalpy, per category
1297	!OLI_CODE salin
1298	!OLI_CODE
1299	!OLI_CODE REAL (wp), DIMENSION (jpi,jpj,jpl), &
1300	!OLI_CODE INTENT(INOUT) :: &
1301	!OLI_CODE a_ip_frac , & ! pond area fraction of ice, per ice category
1302	!OLI_CODE h_ip , & ! pond depth, per ice category (m)
1303	!OLI_CODE h_il ! Refrozen ice lid thickness, per ice category (m)
1304	!OLI_CODE
1305	!OLI_CODE REAL (wp), DIMENSION (jpi,jpj), &
1306	!OLI_CODE INTENT(IN) :: &
1307	!OLI_CODE potT, & ! air potential temperature
1308	!OLI_CODE meltt, & ! total surface meltwater flux
1309	!OLI_CODE fsurf ! thermodynamic heat flux at ice/snow surface (W/m^2)
1310	!OLI_CODE
1311	!OLI_CODE REAL (wp), DIMENSION (jpi,jpj), &
1312	!OLI_CODE INTENT(INOUT) :: &
1313	!OLI_CODE fwoc ! fresh water flux to the ocean (from draining and other pond volume adjustments)
1314	!OLI_CODE ! (m)
1315	!OLI_CODE
1316	!OLI_CODE REAL (wp), DIMENSION (jpi,jpj,jpl), &
1317	!OLI_CODE INTENT(IN) :: &
1318	!OLI_CODE Tsfc ! snow/sea ice surface temperature
1319	!OLI_CODE
1320	!OLI_CODE ! local variables
1321	!OLI_CODE REAL (wp), DIMENSION (jpi,jpj,jpl) :: &
1322	!OLI_CODE zTsfcn, & ! ice/snow surface temperature (C)
1323	!OLI_CODE zvolpn, & ! pond volume per unit area, per category (m)
1324	!OLI_CODE zvuin ! water-equivalent volume of ice lid on melt pond ('upper ice', m)
1325	!OLI_CODE
1326	!OLI_CODE REAL (wp), DIMENSION (jpi,jpj,jpl) :: &
1327	!OLI_CODE zapondn,& ! pond area fraction, per category
1328	!OLI_CODE zhpondn ! pond depth, per category (m)
1329	!OLI_CODE
1330	!OLI_CODE REAL (wp), DIMENSION (jpi,jpj) :: &
1331	!OLI_CODE zvolp ! total volume of pond, per unit area of pond (m)
1332	!OLI_CODE
1333	!OLI_CODE REAL (wp) :: &
1334	!OLI_CODE zhi, & ! ice thickness (m)
1335	!OLI_CODE zdHui, & ! change in thickness of ice lid (m)
1336	!OLI_CODE zomega, & ! conduction
1337	!OLI_CODE zdTice, & ! temperature difference across ice lid (C)
1338	!OLI_CODE zdvice, & ! change in ice volume (m)
1339	!OLI_CODE zTavg, & ! mean surface temperature across categories (C)
1340	!OLI_CODE zTp, & ! pond freezing temperature (C)
1341	!OLI_CODE zdvn ! change in melt pond volume for fresh water budget
1342	!OLI_CODE INTEGER, DIMENSION (jpi*jpj) :: &
1343	!OLI_CODE indxi, indxj ! compressed indices for cells with ice melting
1344	!OLI_CODE
1345	!OLI_CODE INTEGER :: n,k,i,j,ij,icells,indxij ! loop indices
1346	!OLI_CODE
1347	!OLI_CODE INTEGER, DIMENSION (jpl) :: &
1348	!OLI_CODE kcells ! cells where ice lid combines with vice
1349	!OLI_CODE
1350	!OLI_CODE INTEGER, DIMENSION (jpi*jpj,jpl) :: &
1351	!OLI_CODE indxii, indxjj ! i,j indices for kcells loop
1352	!OLI_CODE
1353	!OLI_CODE REAL (wp), parameter :: &
1354	!OLI_CODE zhicemin = 0.1_wp , & ! minimum ice thickness with ponds (m)
1355	!OLI_CODE zTd = 0.15_wp, & ! temperature difference for freeze-up (C)
1356	!OLI_CODE zr1_rlfus = 1._wp / 0.334e+6 / 917._wp , & ! (J/m^3)
1357	!OLI_CODE zmin_volp = 1.e-4_wp, & ! minimum pond volume (m)
1358	!OLI_CODE z0 = 0._wp, &
1359	!OLI_CODE zTimelt = 0._wp, &
1360	!OLI_CODE z01 = 0.01_wp, &
1361	!OLI_CODE z25 = 0.25_wp, &
1362	!OLI_CODE z5 = 0.5_wp, &
1363	!OLI_CODE epsi10 = 1.0e-11_wp
1364	!OLI_CODE !---------------------------------------------------------------
1365	!OLI_CODE ! initialize
1366	!OLI_CODE !---------------------------------------------------------------
1367	!OLI_CODE
1368	!OLI_CODE DO j = 1, jpj
1369	!OLI_CODE DO i = 1, jpi
1370	!OLI_CODE zvolp(i,j) = z0
1371	!OLI_CODE END DO
1372	!OLI_CODE END DO
1373	!OLI_CODE DO n = 1, jpl
1374	!OLI_CODE DO j = 1, jpj
1375	!OLI_CODE DO i = 1, jpi
1376	!OLI_CODE ! load tracers
1377	!OLI_CODE zvolp(i,j) = zvolp(i,j) + h_ip(i,j,n) &
1378	!OLI_CODE * a_ip_frac(i,j,n) * aicen(i,j,n)
1379	!OLI_CODE zTsfcn(i,j,n) = Tsfc(i,j,n) - rtt ! convert in Celsius - Oli
1380	!OLI_CODE zvuin (i,j,n) = h_il(i,j,n) &
1381	!OLI_CODE * a_ip_frac(i,j,n) * aicen(i,j,n)
1382	!OLI_CODE
1383	!OLI_CODE zhpondn(i,j,n) = z0 ! pond depth, per category
1384	!OLI_CODE zapondn(i,j,n) = z0 ! pond area, per category
1385	!OLI_CODE END DO
1386	!OLI_CODE END DO
1387	!OLI_CODE indxii(:,n) = 0
1388	!OLI_CODE indxjj(:,n) = 0
1389	!OLI_CODE kcells (n) = 0
1390	!OLI_CODE END DO
1391	!OLI_CODE
1392	!OLI_CODE ! The freezing temperature for meltponds is assumed slightly below 0C,
1393	!OLI_CODE ! as if meltponds had a little salt in them. The salt budget is not
1394	!OLI_CODE ! altered for meltponds, but if it were then an actual pond freezing
1395	!OLI_CODE ! temperature could be computed.
1396	!OLI_CODE
1397	!OLI_CODE zTp = zTimelt - zTd
1398	!OLI_CODE
1399	!OLI_CODE !-----------------------------------------------------------------
1400	!OLI_CODE ! Identify grid cells with ponds
1401	!OLI_CODE !-----------------------------------------------------------------
1402	!OLI_CODE
1403	!OLI_CODE icells = 0
1404	!OLI_CODE DO j = 1, jpj
1405	!OLI_CODE DO i = 1, jpi
1406	!OLI_CODE zhi = z0
1407	!OLI_CODE IF (aice(i,j) > epsi10) zhi = vice(i,j)/aice(i,j)
1408	!OLI_CODE IF ( aice(i,j) > z01 .and. zhi > zhicemin .and. &
1409	!OLI_CODE zvolp(i,j) > zmin_volp*aice(i,j)) THEN
1410	!OLI_CODE icells = icells + 1
1411	!OLI_CODE indxi(icells) = i
1412	!OLI_CODE indxj(icells) = j
1413	!OLI_CODE ELSE ! remove ponds on thin ice
1414	!OLI_CODE !fpond(i,j) = fpond(i,j) - zvolp(i,j)
1415	!OLI_CODE zvolpn(i,j,:) = z0
1416	!OLI_CODE zvuin (i,j,:) = z0
1417	!OLI_CODE zvolp (i,j) = z0
1418	!OLI_CODE END IF
1419	!OLI_CODE END DO ! i
1420	!OLI_CODE END DO ! j
1421	!OLI_CODE
1422	!OLI_CODE DO ij = 1, icells
1423	!OLI_CODE i = indxi(ij)
1424	!OLI_CODE j = indxj(ij)
1425	!OLI_CODE
1426	!OLI_CODE !--------------------------------------------------------------
1427	!OLI_CODE ! calculate pond area and depth
1428	!OLI_CODE !--------------------------------------------------------------
1429	!OLI_CODE CALL pond_area(aice(i,j),vice(i,j),rhos(i,j,:), &
1430	!OLI_CODE aicen(i,j,:), vicen(i,j,:), vsnon(i,j,:), &
1431	!OLI_CODE ticen(i,j,:,:), salin(i,j,:,:), &
1432	!OLI_CODE zvolpn(i,j,:), zvolp(i,j), &
1433	!OLI_CODE zapondn(i,j,:),zhpondn(i,j,:), zdvn)
1434	!OLI_CODE
1435	!OLI_CODE fwoc(i,j) = fwoc(i,j) + zdvn ! -> Goes to fresh water budget
1436	!OLI_CODE
1437	!OLI_CODE ! mean surface temperature
1438	!OLI_CODE zTavg = z0
1439	!OLI_CODE DO n = 1, jpl
1440	!OLI_CODE zTavg = zTavg + zTsfcn(i,j,n)*aicen(i,j,n)
1441	!OLI_CODE END DO
1442	!OLI_CODE zTavg = zTavg / aice(i,j)
1443	!OLI_CODE
1444	!OLI_CODE DO n = 1, jpl-1
1445	!OLI_CODE
1446	!OLI_CODE IF (zvuin(i,j,n) > epsi10) THEN
1447	!OLI_CODE
1448	!OLI_CODE !----------------------------------------------------------------
1449	!OLI_CODE ! melting: floating upper ice layer melts in whole or part
1450	!OLI_CODE !----------------------------------------------------------------
1451	!OLI_CODE ! IF (zTsfcn(i,j,n) > zTp) THEN
1452	!OLI_CODE IF (zTavg > zTp) THEN
1453	!OLI_CODE
1454	!OLI_CODE zdvice = min(meltt(i,j)*zapondn(i,j,n), zvuin(i,j,n))
1455	!OLI_CODE IF (zdvice > epsi10) THEN
1456	!OLI_CODE zvuin (i,j,n) = zvuin (i,j,n) - zdvice
1457	!OLI_CODE zvolpn(i,j,n) = zvolpn(i,j,n) + zdvice
1458	!OLI_CODE zvolp (i,j) = zvolp (i,j) + zdvice
1459	!OLI_CODE !fwoc(i,j) = fwoc(i,j) + zdvice
1460	!OLI_CODE
1461	!OLI_CODE IF (zvuin(i,j,n) < epsi10 .and. zvolpn(i,j,n) > puny) THEN
1462	!OLI_CODE ! ice lid melted and category is pond covered
1463	!OLI_CODE zvolpn(i,j,n) = zvolpn(i,j,n) + zvuin(i,j,n)
1464	!OLI_CODE !fwoc(i,j) = fwoc(i,j) + zvuin(i,j,n)
1465	!OLI_CODE zvuin(i,j,n) = z0
1466	!OLI_CODE END IF
1467	!OLI_CODE zhpondn(i,j,n) = zvolpn(i,j,n) / zapondn(i,j,n)
1468	!OLI_CODE END IF
1469	!OLI_CODE
1470	!OLI_CODE !----------------------------------------------------------------
1471	!OLI_CODE ! freezing: existing upper ice layer grows
1472	!OLI_CODE !----------------------------------------------------------------
1473	!OLI_CODE ELSE IF (zvolpn(i,j,n) > epsi10) THEN ! zTavg <= zTp
1474	!OLI_CODE
1475	!OLI_CODE ! dIFferential growth of base of surface floating ice layer
1476	!OLI_CODE zdTice = max(-zTavg, z0) ! > 0
1477	!OLI_CODE zomega = rcdiczdTice zr1_rlfus
1478	!OLI_CODE zdHui = sqrt(zomegardt_ice + z25(zvuin(i,j,n)/ &
1479	!OLI_CODE aicen(i,j,n))*2)- z5 zvuin(i,j,n)/aicen(i,j,n)
1480	!OLI_CODE
1481	!OLI_CODE zdvice = min(zdHui*zapondn(i,j,n), zvolpn(i,j,n))
1482	!OLI_CODE IF (zdvice > epsi10) THEN
1483	!OLI_CODE zvuin (i,j,n) = zvuin (i,j,n) + zdvice
1484	!OLI_CODE zvolpn(i,j,n) = zvolpn(i,j,n) - zdvice
1485	!OLI_CODE zvolp (i,j) = zvolp (i,j) - zdvice
1486	!OLI_CODE !fwoc(i,j) = fwoc(i,j) - zdvice
1487	!OLI_CODE zhpondn(i,j,n) = zvolpn(i,j,n) / zapondn(i,j,n)
1488	!OLI_CODE END IF
1489	!OLI_CODE
1490	!OLI_CODE END IF ! zTavg
1491	!OLI_CODE
1492	!OLI_CODE !----------------------------------------------------------------
1493	!OLI_CODE ! freezing: upper ice layer begins to form
1494	!OLI_CODE ! note: albedo does not change
1495	!OLI_CODE !----------------------------------------------------------------
1496	!OLI_CODE ELSE ! zvuin < epsi10
1497	!OLI_CODE
1498	!OLI_CODE ! thickness of newly formed ice
1499	!OLI_CODE ! the surface temperature of a meltpond is the same as that
1500	!OLI_CODE ! of the ice underneath (0C), and the thermodynamic surface
1501	!OLI_CODE ! flux is the same
1502	!OLI_CODE zdHui = max(-fsurf(i,j)rdt_icezr1_rlfus, z0)
1503	!OLI_CODE zdvice = min(zdHui*zapondn(i,j,n), zvolpn(i,j,n))
1504	!OLI_CODE IF (zdvice > epsi10) THEN
1505	!OLI_CODE zvuin (i,j,n) = zdvice
1506	!OLI_CODE zvolpn(i,j,n) = zvolpn(i,j,n) - zdvice
1507	!OLI_CODE zvolp (i,j) = zvolp (i,j) - zdvice
1508	!OLI_CODE !fwoc(i,j) = fwoc(i,j) - zdvice
1509	!OLI_CODE zhpondn(i,j,n)= zvolpn(i,j,n) / zapondn(i,j,n)
1510	!OLI_CODE END IF
1511	!OLI_CODE
1512	!OLI_CODE END IF ! zvuin
1513	!OLI_CODE
1514	!OLI_CODE END DO ! jpl
1515	!OLI_CODE
1516	!OLI_CODE END DO ! ij
1517	!OLI_CODE
1518	!OLI_CODE !---------------------------------------------------------------
1519	!OLI_CODE ! remove ice lid if there is no liquid pond
1520	!OLI_CODE ! zvuin may be nonzero on category jpl due to dynamics
1521	!OLI_CODE !---------------------------------------------------------------
1522	!OLI_CODE
1523	!OLI_CODE DO j = 1, jpj
1524	!OLI_CODE DO i = 1, jpi
1525	!OLI_CODE DO n = 1, jpl
1526	!OLI_CODE IF (aicen(i,j,n) > epsi10 .and. zvolpn(i,j,n) < puny &
1527	!OLI_CODE .and. zvuin (i,j,n) > epsi10) THEN
1528	!OLI_CODE kcells(n) = kcells(n) + 1
1529	!OLI_CODE indxij = kcells(n)
1530	!OLI_CODE indxii(indxij,n) = i
1531	!OLI_CODE indxjj(indxij,n) = j
1532	!OLI_CODE END IF
1533	!OLI_CODE END DO
1534	!OLI_CODE END DO ! i
1535	!OLI_CODE END DO ! j
1536	!OLI_CODE
1537	!OLI_CODE DO n = 1, jpl
1538	!OLI_CODE
1539	!OLI_CODE IF (kcells(n) > 0) THEN
1540	!OLI_CODE DO ij = 1, kcells(n)
1541	!OLI_CODE i = indxii(ij,n)
1542	!OLI_CODE j = indxjj(ij,n)
1543	!OLI_CODE fwoc(i,j) = fwoc(i,j) + rhoic/rauw * zvuin(i,j,n) ! Completely refrozen lid goes into ocean (to be changed)
1544	!OLI_CODE zvuin(i,j,n) = z0
1545	!OLI_CODE END DO ! ij
1546	!OLI_CODE END IF
1547	!OLI_CODE
1548	!OLI_CODE ! reload tracers
1549	!OLI_CODE DO j = 1, jpj
1550	!OLI_CODE DO i = 1, jpi
1551	!OLI_CODE IF (zapondn(i,j,n) > epsi10) THEN
1552	!OLI_CODE h_il(i,j,n) = zvuin(i,j,n) / zapondn(i,j,n)
1553	!OLI_CODE ELSE
1554	!OLI_CODE zvuin(i,j,n) = z0
1555	!OLI_CODE h_il(i,j,n) = z0
1556	!OLI_CODE END IF
1557	!OLI_CODE IF (aicen(i,j,n) > epsi10) THEN
1558	!OLI_CODE a_ip_frac(i,j,n) = zapondn(i,j,n) / aicen(i,j,n) * &
1559	!OLI_CODE (1.0_wp - MAX(z0, SIGN(1.0_wp, -zvolpn(i,j,n))))
1560	!OLI_CODE h_ip(i,j,n) = zhpondn(i,j,n)
1561	!OLI_CODE ELSE
1562	!OLI_CODE a_ip_frac(i,j,n) = z0
1563	!OLI_CODE h_ip(i,j,n) = z0
1564	!OLI_CODE h_il(i,j,n) = z0
1565	!OLI_CODE END IF
1566	!OLI_CODE END DO ! i
1567	!OLI_CODE END DO ! j
1568	!OLI_CODE
1569	!OLI_CODE END DO ! n
1570	!OLI_CODE
1571	!OLI_CODE END SUBROUTINE compute_mp_topo
1572	!OLI_CODE
1573	!OLI_CODE
1574	!OLI_CODE SUBROUTINE pond_area(aice,vice,rhos, &
1575	!OLI_CODE aicen, vicen, vsnon, ticen, &
1576	!OLI_CODE salin, zvolpn, zvolp, &
1577	!OLI_CODE zapondn,zhpondn,dvolp)
1578	!OLI_CODE !!-------------------------------------------------------------------
1579	!OLI_CODE !! * ROUTINE pond_area *
1580	!OLI_CODE !!
1581	!OLI_CODE !! ** Purpose : Compute melt pond area, depth and melting rates
1582	!OLI_CODE !!------------------------------------------------------------------
1583	!OLI_CODE REAL (wp), INTENT(IN) :: &
1584	!OLI_CODE aice,vice
1585	!OLI_CODE
1586	!OLI_CODE REAL (wp), DIMENSION(jpl), INTENT(IN) :: &
1587	!OLI_CODE aicen, vicen, vsnon, rhos
1588	!OLI_CODE
1589	!OLI_CODE REAL (wp), DIMENSION(nlay_i,jpl), INTENT(IN) :: &
1590	!OLI_CODE ticen, salin
1591	!OLI_CODE
1592	!OLI_CODE REAL (wp), DIMENSION(jpl), INTENT(INOUT) :: &
1593	!OLI_CODE zvolpn
1594	!OLI_CODE
1595	!OLI_CODE REAL (wp), INTENT(INOUT) :: &
1596	!OLI_CODE zvolp, dvolp
1597	!OLI_CODE
1598	!OLI_CODE REAL (wp), DIMENSION(jpl), INTENT(OUT) :: &
1599	!OLI_CODE zapondn, zhpondn
1600	!OLI_CODE
1601	!OLI_CODE INTEGER :: &
1602	!OLI_CODE n, ns, &
1603	!OLI_CODE m_index, &
1604	!OLI_CODE permflag
1605	!OLI_CODE
1606	!OLI_CODE REAL (wp), DIMENSION(jpl) :: &
1607	!OLI_CODE hicen, &
1608	!OLI_CODE hsnon, &
1609	!OLI_CODE asnon, &
1610	!OLI_CODE alfan, &
1611	!OLI_CODE betan, &
1612	!OLI_CODE cum_max_vol, &
1613	!OLI_CODE reduced_aicen
1614	!OLI_CODE
1615	!OLI_CODE REAL (wp), DIMENSION(0:jpl) :: &
1616	!OLI_CODE cum_max_vol_tmp
1617	!OLI_CODE
1618	!OLI_CODE REAL (wp) :: &
1619	!OLI_CODE hpond, &
1620	!OLI_CODE drain, &
1621	!OLI_CODE floe_weight, &
1622	!OLI_CODE pressure_head, &
1623	!OLI_CODE hsl_rel, &
1624	!OLI_CODE deltah, &
1625	!OLI_CODE perm, &
1626	!OLI_CODE apond, &
1627	!OLI_CODE msno
1628	!OLI_CODE
1629	!OLI_CODE REAL (wp), parameter :: &
1630	!OLI_CODE viscosity = 1.79e-3_wp, & ! kinematic water viscosity in kg/m/s
1631	!OLI_CODE z0 = 0.0_wp , &
1632	!OLI_CODE c1 = 1.0_wp , &
1633	!OLI_CODE p4 = 0.4_wp , &
1634	!OLI_CODE p6 = 0.6_wp , &
1635	!OLI_CODE epsi10 = 1.0e-11_wp
1636	!OLI_CODE
1637	!OLI_CODE !-----------\|
1638	!OLI_CODE ! \|
1639	!OLI_CODE ! \|-----------\|
1640	!OLI_CODE !___________\|___________\|______________________________________sea-level
1641	!OLI_CODE ! \| \|
1642	!OLI_CODE ! \| \|---^--------\|
1643	!OLI_CODE ! \| \| \| \|
1644	!OLI_CODE ! \| \| \| \|-----------\| \|-------
1645	!OLI_CODE ! \| \| \|alfan(n)\| \| \|
1646	!OLI_CODE ! \| \| \| \| \|--------------\|
1647	!OLI_CODE ! \| \| \| \| \| \|
1648	!OLI_CODE !---------------------------v-------------------------------------------
1649	!OLI_CODE ! \| \| ^ \| \| \|
1650	!OLI_CODE ! \| \| \| \| \|--------------\|
1651	!OLI_CODE ! \| \| \|betan(n)\| \| \|
1652	!OLI_CODE ! \| \| \| \|-----------\| \|-------
1653	!OLI_CODE ! \| \| \| \|
1654	!OLI_CODE ! \| \|---v------- \|
1655	!OLI_CODE ! \| \|
1656	!OLI_CODE ! \|-----------\|
1657	!OLI_CODE ! \|
1658	!OLI_CODE !-----------\|
1659	!OLI_CODE
1660	!OLI_CODE !-------------------------------------------------------------------
1661	!OLI_CODE ! initialize
1662	!OLI_CODE !-------------------------------------------------------------------
1663	!OLI_CODE
1664	!OLI_CODE DO n = 1, jpl
1665	!OLI_CODE
1666	!OLI_CODE zapondn(n) = z0
1667	!OLI_CODE zhpondn(n) = z0
1668	!OLI_CODE
1669	!OLI_CODE IF (aicen(n) < epsi10) THEN
1670	!OLI_CODE hicen(n) = z0
1671	!OLI_CODE hsnon(n) = z0
1672	!OLI_CODE reduced_aicen(n) = z0
1673	!OLI_CODE ELSE
1674	!OLI_CODE hicen(n) = vicen(n) / aicen(n)
1675	!OLI_CODE hsnon(n) = vsnon(n) / aicen(n)
1676	!OLI_CODE reduced_aicen(n) = c1 ! n=jpl
1677	!OLI_CODE IF (n < jpl) reduced_aicen(n) = aicen(n) &
1678	!OLI_CODE * (-0.024_wp*hicen(n) + 0.832_wp)
1679	!OLI_CODE asnon(n) = reduced_aicen(n)
1680	!OLI_CODE END IF
1681	!OLI_CODE
1682	!OLI_CODE ! This choice for alfa and beta ignores hydrostatic equilibium of categories.
1683	!OLI_CODE ! Hydrostatic equilibium of the entire ITD is accounted for below, assuming
1684	!OLI_CODE ! a surface topography implied by alfa=0.6 and beta=0.4, and rigidity across all
1685	!OLI_CODE ! categories. alfa and beta partition the ITD - they are areas not thicknesses!
1686	!OLI_CODE ! Multiplying by hicen, alfan and betan (below) are thus volumes per unit area.
1687	!OLI_CODE ! Here, alfa = 60% of the ice area (and since hice is constant in a category,
1688	!OLI_CODE ! alfan = 60% of the ice volume) in each category lies above the reference line,
1689	!OLI_CODE ! and 40% below. Note: p6 is an arbitrary choice, but alfa+beta=1 is required.
1690	!OLI_CODE
1691	!OLI_CODE alfan(n) = p6 * hicen(n)
1692	!OLI_CODE betan(n) = p4 * hicen(n)
1693	!OLI_CODE
1694	!OLI_CODE cum_max_vol(n) = z0
1695	!OLI_CODE cum_max_vol_tmp(n) = z0
1696	!OLI_CODE
1697	!OLI_CODE END DO ! jpl
1698	!OLI_CODE
1699	!OLI_CODE cum_max_vol_tmp(0) = z0
1700	!OLI_CODE drain = z0
1701	!OLI_CODE dvolp = z0
1702	!OLI_CODE
1703	!OLI_CODE !--------------------------------------------------------------------------
1704	!OLI_CODE ! the maximum amount of water that can be contained up to each ice category
1705	!OLI_CODE !--------------------------------------------------------------------------
1706	!OLI_CODE
1707	!OLI_CODE DO n = 1, jpl-1 ! last category can not hold any volume
1708	!OLI_CODE
1709	!OLI_CODE IF (alfan(n+1) >= alfan(n) .and. alfan(n+1) > z0) THEN
1710	!OLI_CODE
1711	!OLI_CODE ! total volume in level including snow
1712	!OLI_CODE cum_max_vol_tmp(n) = cum_max_vol_tmp(n-1) + &
1713	!OLI_CODE (alfan(n+1) - alfan(n)) * sum(reduced_aicen(1:n))
1714	!OLI_CODE
1715	!OLI_CODE
1716	!OLI_CODE ! subtract snow solid volumes from lower categories in current level
1717	!OLI_CODE DO ns = 1, n
1718	!OLI_CODE cum_max_vol_tmp(n) = cum_max_vol_tmp(n) &
1719	!OLI_CODE - rhos(ns)/rauw * & ! fraction of snow that is occupied by solid ??rauw
1720	!OLI_CODE asnon(ns) * & ! area of snow from that category
1721	!OLI_CODE max(min(hsnon(ns)+alfan(ns)-alfan(n), alfan(n+1)- &
1722	!OLI_CODE alfan(n)), z0)
1723	!OLI_CODE ! thickness of snow from ns layer in n layer
1724	!OLI_CODE END DO
1725	!OLI_CODE
1726	!OLI_CODE ELSE ! assume higher categories unoccupied
1727	!OLI_CODE cum_max_vol_tmp(n) = cum_max_vol_tmp(n-1)
1728	!OLI_CODE END IF
1729	!OLI_CODE !IF (cum_max_vol_tmp(n) < z0) THEN
1730	!OLI_CODE ! call abort_ice('negative melt pond volume')
1731	!OLI_CODE !END IF
1732	!OLI_CODE END DO
1733	!OLI_CODE cum_max_vol_tmp(jpl) = cum_max_vol_tmp(jpl-1) ! last category holds no volume
1734	!OLI_CODE cum_max_vol (1:jpl) = cum_max_vol_tmp(1:jpl)
1735	!OLI_CODE
1736	!OLI_CODE !----------------------------------------------------------------
1737	!OLI_CODE ! is there more meltwater than can be held in the floe?
1738	!OLI_CODE !----------------------------------------------------------------
1739	!OLI_CODE IF (zvolp >= cum_max_vol(jpl)) THEN
1740	!OLI_CODE drain = zvolp - cum_max_vol(jpl) + epsi10
1741	!OLI_CODE zvolp = zvolp - drain
1742	!OLI_CODE dvolp = drain
1743	!OLI_CODE IF (zvolp < epsi10) THEN
1744	!OLI_CODE dvolp = dvolp + zvolp
1745	!OLI_CODE zvolp = z0
1746	!OLI_CODE END IF
1747	!OLI_CODE END IF
1748	!OLI_CODE
1749	!OLI_CODE ! height and area corresponding to the remaining volume
1750	!OLI_CODE
1751	!OLI_CODE call calc_hpond(reduced_aicen, asnon, hsnon, rhos, alfan, &
1752	!OLI_CODE zvolp, cum_max_vol, hpond, m_index)
1753	!OLI_CODE
1754	!OLI_CODE DO n=1, m_index
1755	!OLI_CODE zhpondn(n) = hpond - alfan(n) + alfan(1)
1756	!OLI_CODE zapondn(n) = reduced_aicen(n)
1757	!OLI_CODE END DO
1758	!OLI_CODE apond = sum(zapondn(1:m_index))
1759	!OLI_CODE
1760	!OLI_CODE !------------------------------------------------------------------------
1761	!OLI_CODE ! drainage due to ice permeability - Darcy's law
1762	!OLI_CODE !------------------------------------------------------------------------
1763	!OLI_CODE
1764	!OLI_CODE ! sea water level
1765	!OLI_CODE msno = z0
1766	!OLI_CODE DO n=1,jpl
1767	!OLI_CODE msno = msno + vsnon(n) * rhos(n)
1768	!OLI_CODE END DO
1769	!OLI_CODE floe_weight = (msno + rhoicvice + rau0zvolp) / aice
1770	!OLI_CODE hsl_rel = floe_weight / rau0 &
1771	!OLI_CODE - ((sum(betan(:)*aicen(:))/aice) + alfan(1))
1772	!OLI_CODE
1773	!OLI_CODE deltah = hpond - hsl_rel
1774	!OLI_CODE pressure_head = grav * rau0 * max(deltah, z0)
1775	!OLI_CODE
1776	!OLI_CODE ! drain IF ice is permeable
1777	!OLI_CODE permflag = 0
1778	!OLI_CODE IF (pressure_head > z0) THEN
1779	!OLI_CODE DO n = 1, jpl-1
1780	!OLI_CODE IF (hicen(n) /= z0) THEN
1781	!OLI_CODE CALL permeability_phi(ticen(:,n), salin(:,n), vicen(n), perm)
1782	!OLI_CODE IF (perm > z0) permflag = 1
1783	!OLI_CODE drain = permzapondn(n)pressure_head*rdt_ice / &
1784	!OLI_CODE (viscosity*hicen(n))
1785	!OLI_CODE dvolp = dvolp + min(drain, zvolp)
1786	!OLI_CODE zvolp = max(zvolp - drain, z0)
1787	!OLI_CODE IF (zvolp < epsi10) THEN
1788	!OLI_CODE dvolp = dvolp + zvolp
1789	!OLI_CODE zvolp = z0
1790	!OLI_CODE END IF
1791	!OLI_CODE END IF
1792	!OLI_CODE END DO
1793	!OLI_CODE
1794	!OLI_CODE ! adjust melt pond DIMENSIONs
1795	!OLI_CODE IF (permflag > 0) THEN
1796	!OLI_CODE ! recompute pond depth
1797	!OLI_CODE CALL calc_hpond(reduced_aicen, asnon, hsnon, rhos, alfan, &
1798	!OLI_CODE zvolp, cum_max_vol, hpond, m_index)
1799	!OLI_CODE DO n=1, m_index
1800	!OLI_CODE zhpondn(n) = hpond - alfan(n) + alfan(1)
1801	!OLI_CODE zapondn(n) = reduced_aicen(n)
1802	!OLI_CODE END DO
1803	!OLI_CODE apond = sum(zapondn(1:m_index))
1804	!OLI_CODE END IF
1805	!OLI_CODE END IF ! pressure_head
1806	!OLI_CODE
1807	!OLI_CODE !------------------------------------------------------------------------
1808	!OLI_CODE ! total melt pond volume in category DOes not include snow volume
1809	!OLI_CODE ! snow in melt ponds is not melted
1810	!OLI_CODE !------------------------------------------------------------------------
1811	!OLI_CODE
1812	!OLI_CODE ! Calculate pond volume for lower categories
1813	!OLI_CODE DO n=1,m_index-1
1814	!OLI_CODE zvolpn(n) = zapondn(n) * zhpondn(n) &
1815	!OLI_CODE - (rhos(n)/rauw) * asnon(n) * min(hsnon(n), zhpondn(n))!
1816	!OLI_CODE END DO
1817	!OLI_CODE
1818	!OLI_CODE ! Calculate pond volume for highest category = remaining pond volume
1819	!OLI_CODE IF (m_index == 1) zvolpn(m_index) = zvolp
1820	!OLI_CODE IF (m_index > 1) THEN
1821	!OLI_CODE IF (zvolp > sum(zvolpn(1:m_index-1))) THEN
1822	!OLI_CODE zvolpn(m_index) = zvolp - sum(zvolpn(1:m_index-1))
1823	!OLI_CODE ELSE
1824	!OLI_CODE zvolpn(m_index) = z0
1825	!OLI_CODE zhpondn(m_index) = z0
1826	!OLI_CODE zapondn(m_index) = z0
1827	!OLI_CODE ! If remaining pond volume is negative reduce pond volume of
1828	!OLI_CODE ! lower category
1829	!OLI_CODE IF (zvolp+epsi10 < sum(zvolpn(1:m_index-1))) &
1830	!OLI_CODE zvolpn(m_index-1) = zvolpn(m_index-1)-sum(zvolpn(1:m_index-1))&
1831	!OLI_CODE + zvolp
1832	!OLI_CODE END IF
1833	!OLI_CODE END IF
1834	!OLI_CODE
1835	!OLI_CODE DO n=1,m_index
1836	!OLI_CODE IF (zapondn(n) > epsi10) THEN
1837	!OLI_CODE zhpondn(n) = zvolpn(n) / zapondn(n)
1838	!OLI_CODE ELSE
1839	!OLI_CODE dvolp = dvolp + zvolpn(n)
1840	!OLI_CODE zhpondn(n) = z0
1841	!OLI_CODE zvolpn(n) = z0
1842	!OLI_CODE zapondn(n) = z0
1843	!OLI_CODE end IF
1844	!OLI_CODE END DO
1845	!OLI_CODE DO n = m_index+1, jpl
1846	!OLI_CODE zhpondn(n) = z0
1847	!OLI_CODE zapondn(n) = z0
1848	!OLI_CODE zvolpn (n) = z0
1849	!OLI_CODE END DO
1850	!OLI_CODE
1851	!OLI_CODE END SUBROUTINE pond_area
1852	!OLI_CODE
1853	!OLI_CODE
1854	!OLI_CODE SUBROUTINE calc_hpond(aicen, asnon, hsnon, rhos, alfan, &
1855	!OLI_CODE zvolp, cum_max_vol, &
1856	!OLI_CODE hpond, m_index)
1857	!OLI_CODE !!-------------------------------------------------------------------
1858	!OLI_CODE !! * ROUTINE calc_hpond *
1859	!OLI_CODE !!
1860	!OLI_CODE !! ** Purpose : Compute melt pond depth
1861	!OLI_CODE !!-------------------------------------------------------------------
1862	!OLI_CODE
1863	!OLI_CODE REAL (wp), DIMENSION(jpl), INTENT(IN) :: &
1864	!OLI_CODE aicen, &
1865	!OLI_CODE asnon, &
1866	!OLI_CODE hsnon, &
1867	!OLI_CODE rhos, &
1868	!OLI_CODE alfan, &
1869	!OLI_CODE cum_max_vol
1870	!OLI_CODE
1871	!OLI_CODE REAL (wp), INTENT(IN) :: &
1872	!OLI_CODE zvolp
1873	!OLI_CODE
1874	!OLI_CODE REAL (wp), INTENT(OUT) :: &
1875	!OLI_CODE hpond
1876	!OLI_CODE
1877	!OLI_CODE INTEGER, INTENT(OUT) :: &
1878	!OLI_CODE m_index
1879	!OLI_CODE
1880	!OLI_CODE INTEGER :: n, ns
1881	!OLI_CODE
1882	!OLI_CODE REAL (wp), DIMENSION(0:jpl+1) :: &
1883	!OLI_CODE hitl, &
1884	!OLI_CODE aicetl
1885	!OLI_CODE
1886	!OLI_CODE REAL (wp) :: &
1887	!OLI_CODE rem_vol, &
1888	!OLI_CODE area, &
1889	!OLI_CODE vol, &
1890	!OLI_CODE tmp, &
1891	!OLI_CODE z0 = 0.0_wp, &
1892	!OLI_CODE epsi10 = 1.0e-11_wp
1893	!OLI_CODE
1894	!OLI_CODE !----------------------------------------------------------------
1895	!OLI_CODE ! hpond is zero if zvolp is zero - have we fully drained?
1896	!OLI_CODE !----------------------------------------------------------------
1897	!OLI_CODE
1898	!OLI_CODE IF (zvolp < epsi10) THEN
1899	!OLI_CODE hpond = z0
1900	!OLI_CODE m_index = 0
1901	!OLI_CODE ELSE
1902	!OLI_CODE
1903	!OLI_CODE !----------------------------------------------------------------
1904	!OLI_CODE ! Calculate the category where water fills up to
1905	!OLI_CODE !----------------------------------------------------------------
1906	!OLI_CODE
1907	!OLI_CODE !----------\|
1908	!OLI_CODE ! \|
1909	!OLI_CODE ! \|
1910	!OLI_CODE ! \|----------\| -- --
1911	!OLI_CODE !__________\|__________\|_________________________________________ ^
1912	!OLI_CODE ! \| \| rem_vol ^ \| Semi-filled
1913	!OLI_CODE ! \| \|----------\|-- -- -- - ---\|-- ---- -- -- --v layer
1914	!OLI_CODE ! \| \| \| \|
1915	!OLI_CODE ! \| \| \| \|hpond
1916	!OLI_CODE ! \| \| \|----------\| \| \|-------
1917	!OLI_CODE ! \| \| \| \| \| \|
1918	!OLI_CODE ! \| \| \| \|---v-----\|
1919	!OLI_CODE ! \| \| m_index \| \| \|
1920	!OLI_CODE !-------------------------------------------------------------
1921	!OLI_CODE
1922	!OLI_CODE m_index = 0 ! 1:m_index categories have water in them
1923	!OLI_CODE DO n = 1, jpl
1924	!OLI_CODE IF (zvolp <= cum_max_vol(n)) THEN
1925	!OLI_CODE m_index = n
1926	!OLI_CODE IF (n == 1) THEN
1927	!OLI_CODE rem_vol = zvolp
1928	!OLI_CODE ELSE
1929	!OLI_CODE rem_vol = zvolp - cum_max_vol(n-1)
1930	!OLI_CODE END IF
1931	!OLI_CODE exit ! to break out of the loop
1932	!OLI_CODE END IF
1933	!OLI_CODE END DO
1934	!OLI_CODE m_index = min(jpl-1, m_index)
1935	!OLI_CODE
1936	!OLI_CODE !----------------------------------------------------------------
1937	!OLI_CODE ! semi-filled layer may have m_index different snow in it
1938	!OLI_CODE !----------------------------------------------------------------
1939	!OLI_CODE
1940	!OLI_CODE !----------------------------------------------------------- ^
1941	!OLI_CODE ! \| alfan(m_index+1)
1942	!OLI_CODE ! \|
1943	!OLI_CODE !hitl(3)--> \|----------\| \|
1944	!OLI_CODE !hitl(2)--> \|------------\| * * * * *\| \|
1945	!OLI_CODE !hitl(1)--> \|----------\|* * * * * * \|* * * * * \| \|
1946	!OLI_CODE !hitl(0)-->------------------------------------------------- \| ^
1947	!OLI_CODE ! various snow from lower categories \| \|alfa(m_index)
1948	!OLI_CODE
1949	!OLI_CODE ! hitl - heights of the snow layers from thinner and current categories
1950	!OLI_CODE ! aicetl - area of each snow depth in this layer
1951	!OLI_CODE
1952	!OLI_CODE hitl(:) = z0
1953	!OLI_CODE aicetl(:) = z0
1954	!OLI_CODE DO n = 1, m_index
1955	!OLI_CODE hitl(n) = max(min(hsnon(n) + alfan(n) - alfan(m_index), &
1956	!OLI_CODE alfan(m_index+1) - alfan(m_index)), z0)
1957	!OLI_CODE aicetl(n) = asnon(n)
1958	!OLI_CODE
1959	!OLI_CODE aicetl(0) = aicetl(0) + (aicen(n) - asnon(n))
1960	!OLI_CODE END DO
1961	!OLI_CODE hitl(m_index+1) = alfan(m_index+1) - alfan(m_index)
1962	!OLI_CODE aicetl(m_index+1) = z0
1963	!OLI_CODE
1964	!OLI_CODE !----------------------------------------------------------------
1965	!OLI_CODE ! reorder array according to hitl
1966	!OLI_CODE ! snow heights not necessarily in height order
1967	!OLI_CODE !----------------------------------------------------------------
1968	!OLI_CODE
1969	!OLI_CODE DO ns = 1, m_index+1
1970	!OLI_CODE DO n = 0, m_index - ns + 1
1971	!OLI_CODE IF (hitl(n) > hitl(n+1)) THEN ! swap order
1972	!OLI_CODE tmp = hitl(n)
1973	!OLI_CODE hitl(n) = hitl(n+1)
1974	!OLI_CODE hitl(n+1) = tmp
1975	!OLI_CODE tmp = aicetl(n)
1976	!OLI_CODE aicetl(n) = aicetl(n+1)
1977	!OLI_CODE aicetl(n+1) = tmp
1978	!OLI_CODE END IF
1979	!OLI_CODE END DO
1980	!OLI_CODE END DO
1981	!OLI_CODE
1982	!OLI_CODE !----------------------------------------------------------------
1983	!OLI_CODE ! divide semi-filled layer into set of sublayers each vertically homogenous
1984	!OLI_CODE !----------------------------------------------------------------
1985	!OLI_CODE
1986	!OLI_CODE !hitl(3)----------------------------------------------------------------
1987	!OLI_CODE ! \| * * * * * * * *
1988	!OLI_CODE ! \|* * * * * * * * *
1989	!OLI_CODE !hitl(2)----------------------------------------------------------------
1990	!OLI_CODE ! \| * * * * * * * * \| * * * * * * * *
1991	!OLI_CODE ! \|* * * * * * * * * \|* * * * * * * * *
1992	!OLI_CODE !hitl(1)----------------------------------------------------------------
1993	!OLI_CODE ! \| * * * * * * * * \| * * * * * * * * \| * * * * * * * *
1994	!OLI_CODE ! \|* * * * * * * * * \|* * * * * * * * * \|* * * * * * * * *
1995	!OLI_CODE !hitl(0)----------------------------------------------------------------
1996	!OLI_CODE ! aicetl(0) aicetl(1) aicetl(2) aicetl(3)
1997	!OLI_CODE
1998	!OLI_CODE ! move up over layers incrementing volume
1999	!OLI_CODE DO n = 1, m_index+1
2000	!OLI_CODE
2001	!OLI_CODE area = sum(aicetl(:)) - & ! total area of sub-layer
2002	!OLI_CODE (rhos(n)/rau0) * sum(aicetl(n:jpl+1)) ! area of sub-layer occupied by snow
2003	!OLI_CODE
2004	!OLI_CODE vol = (hitl(n) - hitl(n-1)) * area ! thickness of sub-layer times area
2005	!OLI_CODE
2006	!OLI_CODE IF (vol >= rem_vol) THEN ! have reached the sub-layer with the depth within
2007	!OLI_CODE hpond = rem_vol / area + hitl(n-1) + alfan(m_index) - &
2008	!OLI_CODE alfan(1)
2009	!OLI_CODE exit
2010	!OLI_CODE ELSE ! still in sub-layer below the sub-layer with the depth
2011	!OLI_CODE rem_vol = rem_vol - vol
2012	!OLI_CODE END IF
2013	!OLI_CODE
2014	!OLI_CODE END DO
2015	!OLI_CODE
2016	!OLI_CODE END IF
2017	!OLI_CODE
2018	!OLI_CODE END SUBROUTINE calc_hpond
2019	!OLI_CODE
2020	!OLI_CODE
2021	!OLI_CODE SUBROUTINE permeability_phi(ticen, salin, vicen, perm)
2022	!OLI_CODE !!-------------------------------------------------------------------
2023	!OLI_CODE !! * ROUTINE permeability_phi *
2024	!OLI_CODE !!
2025	!OLI_CODE !! ** Purpose : Determine the liquid fraction of brine in the ice
2026	!OLI_CODE !! and its permeability
2027	!OLI_CODE !!-------------------------------------------------------------------
2028	!OLI_CODE REAL (wp), DIMENSION(nlay_i), INTENT(IN) :: &
2029	!OLI_CODE ticen, & ! energy of melting for each ice layer (J/m2)
2030	!OLI_CODE salin
2031	!OLI_CODE
2032	!OLI_CODE REAL (wp), INTENT(IN) :: &
2033	!OLI_CODE vicen ! ice volume
2034	!OLI_CODE
2035	!OLI_CODE REAL (wp), INTENT(OUT) :: &
2036	!OLI_CODE perm ! permeability
2037	!OLI_CODE
2038	!OLI_CODE REAL (wp) :: &
2039	!OLI_CODE Sbr ! brine salinity
2040	!OLI_CODE
2041	!OLI_CODE REAL (wp), DIMENSION(nlay_i) :: &
2042	!OLI_CODE Tin, & ! ice temperature
2043	!OLI_CODE phi ! liquid fraction
2044	!OLI_CODE
2045	!OLI_CODE INTEGER :: k
2046	!OLI_CODE
2047	!OLI_CODE REAL (wp) :: &
2048	!OLI_CODE c2 = 2.0_wp
2049	!OLI_CODE
2050	!OLI_CODE !-----------------------------------------------------------------
2051	!OLI_CODE ! Compute ice temperatures from enthalpies using quadratic formula
2052	!OLI_CODE !-----------------------------------------------------------------
2053	!OLI_CODE
2054	!OLI_CODE DO k = 1,nlay_i
2055	!OLI_CODE Tin(k) = ticen(k)
2056	!OLI_CODE END DO
2057	!OLI_CODE
2058	!OLI_CODE !-----------------------------------------------------------------
2059	!OLI_CODE ! brine salinity and liquid fraction
2060	!OLI_CODE !-----------------------------------------------------------------
2061	!OLI_CODE
2062	!OLI_CODE IF (maxval(Tin-rtt) <= -c2) THEN
2063	!OLI_CODE
2064	!OLI_CODE DO k = 1,nlay_i
2065	!OLI_CODE Sbr = - 1.2_wp &
2066	!OLI_CODE -21.8_wp * (Tin(k)-rtt) &
2067	!OLI_CODE - 0.919_wp * (Tin(k)-rtt)**2 &
2068	!OLI_CODE - 0.01878_wp * (Tin(k)-rtt)**3
2069	!OLI_CODE phi(k) = salin(k)/Sbr ! liquid fraction
2070	!OLI_CODE END DO ! k
2071	!OLI_CODE
2072	!OLI_CODE ELSE
2073	!OLI_CODE
2074	!OLI_CODE DO k = 1,nlay_i
2075	!OLI_CODE Sbr = -17.6_wp * (Tin(k)-rtt) &
2076	!OLI_CODE - 0.389_wp * (Tin(k)-rtt)**2 &
2077	!OLI_CODE - 0.00362_wp* (Tin(k)-rtt)**3
2078	!OLI_CODE phi(k) = salin(k)/Sbr ! liquid fraction
2079	!OLI_CODE END DO
2080	!OLI_CODE
2081	!OLI_CODE END IF
2082	!OLI_CODE
2083	!OLI_CODE !-----------------------------------------------------------------
2084	!OLI_CODE ! permeability
2085	!OLI_CODE !-----------------------------------------------------------------
2086	!OLI_CODE
2087	!OLI_CODE perm = 3.0e-08_wp * (minval(phi))**3
2088	!OLI_CODE
2089	!OLI_CODE END SUBROUTINE permeability_phi
2090	!OLI_CODE
2091	!OLI_CODE #else
2092	!OLI_CODE !!----------------------------------------------------------------------
2093	!OLI_CODE !! Default option Dummy Module No LIM-3 sea-ice model
2094	!OLI_CODE !!----------------------------------------------------------------------
2095	!OLI_CODE CONTAINS
2096	!OLI_CODE SUBROUTINE lim_mp_init ! Empty routine
2097	!OLI_CODE END SUBROUTINE lim_mp_init
2098	!OLI_CODE SUBROUTINE lim_mp ! Empty routine
2099	!OLI_CODE END SUBROUTINE lim_mp
2100	!OLI_CODE SUBROUTINE compute_mp_topo ! Empty routine
2101	!OLI_CODE END SUBROUTINE compute_mp_topo
2102	!OLI_CODE SUBROUTINE pond_area ! Empty routine
2103	!OLI_CODE END SUBROUTINE pond_area
2104	!OLI_CODE SUBROUTINE calc_hpond ! Empty routine
2105	!OLI_CODE END SUBROUTINE calc_hpond
2106	!OLI_CODE SUBROUTINE permeability_phy ! Empty routine
2107	!OLI_CODE END SUBROUTINE permeability_phy
2108	!OLI_CODE #endif
2109	!OLI_CODE !!======================================================================
2110	!OLI_CODE END MODULE limmp_topo
2111	!OLI_CODE
2112	#else
2113	!!----------------------------------------------------------------------
2114	!! Default option Empty module NO LIM sea-ice model
2115	!!----------------------------------------------------------------------
2116	CONTAINS
2117	SUBROUTINE lim_mp_init ! Empty routine
2118	END SUBROUTINE lim_mp_init
2119	SUBROUTINE lim_mp ! Empty routine
2120	END SUBROUTINE lim_mp
2121	SUBROUTINE lim_mp_topo ! Empty routine
2122	END SUBROUTINE lim_mp_topo
2123	SUBROUTINE lim_mp_cesm ! Empty routine
2124	END SUBROUTINE lim_mp_cesm
2125	SUBROUTINE lim_mp_area ! Empty routine
2126	END SUBROUTINE lim_mp_area
2127	SUBROUTINE lim_mp_perm ! Empty routine
2128	END SUBROUTINE lim_mp_perm
2129	#endif
2130
2131	!!======================================================================
2132	END MODULE limmp

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