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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 @ 8060

Last change on this file since 8060 was 8060, checked in by vancop, 7 years ago
Simple melt ponds for interface test
File size: 87.4 KB

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

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