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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 @ 8063

Last change on this file since 8063 was 8063, checked in by vancop, 7 years ago
a few more melt pond corrections
File size: 88.9 KB

Rev	Line
[7293]	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
[7325]	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!)
[7293]	19	!! calc_hpond : computes melt pond depth
	20	!! permeability_phy : computes permeability
	21
	22	!!----------------------------------------------------------------------
[7325]	23	USE phycst ! physical constants
	24	USE dom_oce ! ocean space and time domain
[7293]	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
[7325]	61	PUBLIC lim_mp ! routine called by sbcice_lim.F90
[7293]	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
[8061]	85	NAMELIST/namicemp/ ln_pnd, nn_pnd_scheme, nn_pnd_cpl, rn_apnd
[7293]	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,*) '~~~~~~~~~~~~'
[8061]	101	WRITE(numout,*)' Activate melt ponds ln_pnd = ', ln_pnd
	102	WRITE(numout,*)' Type of melt pond scheme =0 presc, =1 empirical = 2 topo nn_pnd_scheme = ', nn_pnd_scheme
	103	WRITE(numout,*)' Type of melt pond coupling =0 pass., =1 full, =2 rad, 3=fw nn_pnd_cpl = ', nn_pnd_cp
	104	WRITE(numout,*)' Prescribed pond fraction rn_apnd = ', rn_apnd
[7293]	105	ENDIF
	106	!
	107	END SUBROUTINE lim_mp_init
	108
[8061]	109
	110
[7325]	111	SUBROUTINE lim_mp( kt )
	112	!!-------------------------------------------------------------------
	113	!! * ROUTINE lim_mp *
	114	!!
	115	!! ** Purpose : change melt pond fraction
	116	!!
	117	!! ** Method : brutal force
	118	!!
	119	!! ** Action : -
	120	!! -
	121	!!------------------------------------------------------------------------------------
[7293]	122
[7325]	123	INTEGER, INTENT(in) :: kt ! number of iteration
	124	INTEGER :: ji, jj, jl ! dummy loop indices
[7293]	125
[7325]	126	! REAL(wp), POINTER, DIMENSION(:,:) :: zfsurf ! surface heat flux(obsolete, should be droped)
	127	!
	128	!!-------------------------------------------------------------------
[7293]	129
[7325]	130	IF( nn_timing == 1 ) CALL timing_start('limthd')
[7293]	131
[7325]	132	IF( nn_timing == 1 ) CALL timing_start('lim_mp')
[7293]	133
[8061]	134	SELECT CASE ( nn_pnd_scheme )
[7325]	135
[8061]	136	CASE (1)
[8060]	137
[8061]	138	CALL lim_mp_cesm ! empirical melt ponds
[8060]	139
[8061]	140	CASE (2)
	141
	142	CALL lim_mp_topo (at_i, a_i, &
	143	& vt_i, v_i, v_s, t_i, s_i, a_ip_frac, &
	144	& h_ip, t_su)
	145
	146	END SELECT
	147
[7325]	148	! we should probably not aggregate here since we do it in lim_var_agg
	149	! before output, unless we need the total volume and faction else where
	150
	151	! we should also make sure a_ip and v_ip are properly updated at the end
	152	! of the routine
	153
	154	END SUBROUTINE lim_mp
	155
[8061]	156
	157
[8060]	158	SUBROUTINE lim_mp_cesm
	159	!!-------------------------------------------------------------------
	160	!! * ROUTINE lim_mp_cesm *
	161	!!
	162	!! ** Purpose : Compute melt pond evolution
	163	!!
[8061]	164	!! ** Method : Empirical method. A fraction of meltwater is accumulated
	165	!! in pond volume. It is then released exponentially when
	166	!! surface is freezingAccumulation of meltwater and exponential release
[8060]	167	!!
	168	!! ** Tunable parameters :
	169	!!
	170	!!
	171	!! ** Note : Stolen from CICE for quick test of the melt pond
[8061]	172	!! radiation and freshwater interfaces
[8060]	173	!!
	174	!! ** References : Holland, M. M. et al (J Clim 2012)
	175	!!
	176	!!-------------------------------------------------------------------
	177
[8061]	178	INTEGER, POINTER, DIMENSION(:) :: indxi ! compressed indices for cells with ice melting
	179	INTEGER, POINTER, DIMENSION(:) :: indxj !
[8060]	180
	181	REAL(wp), POINTER, DIMENSION(:,:) :: zwfx_mlw ! available meltwater for melt ponding
	182	REAL(wp), POINTER, DIMENSION(:,:,:) :: zrfrac ! fraction of available meltwater retained for melt ponding
	183
	184	REAL(wp), PARAMETER :: zrmin = 0.15_wp ! minimum fraction of available meltwater retained for melt ponding
	185	REAL(wp), PARAMETER :: zrmax = 0.70_wp ! maximum '' '' '' '' ''
	186	REAL(wp), PARAMETER :: zrexp = 0.01_wp ! rate constant to refreeze melt ponds
	187	REAL(wp), PARAMETER :: zpnd_aspect = 0.8_wp ! pond aspect ratio
	188
	189	REAL(wp) :: zhi ! dummy ice thickness
	190	REAL(wp) :: zhs ! dummy snow depth
	191	REAL(wp) :: zTp ! reference temperature
	192	REAL(wp) :: zdTs ! dummy temperature difference
	193	REAL(wp) :: z1_rhofw ! inverse freshwater density
	194	REAL(wp) :: z1_zpnd_aspect ! inverse pond aspect ratio
[8063]	195	REAL(wp) :: zvold ! dummy pond volume
[8060]	196
[8061]	197	INTEGER :: ji, jj, jl, ij ! loop indices
	198	INTEGER :: icells ! size of dummy array
	199
[8060]	200	!!-------------------------------------------------------------------
	201
	202	CALL wrk_alloc( jpi*jpj, indxi, indxj)
[8061]	203	CALL wrk_alloc( jpi,jpj, zwfx_mlw )
	204	CALL wrk_alloc( jpi,jpj,jpl, zrfrac )
[8060]	205
	206	z1_rhofw = 1. / rhofw
	207	z1_zpnd_aspect = 1. / zpnd_aspect
[8061]	208	zTp = -2.
[8060]	209
	210	!------------------------------------------------------------------
	211	! Available melt water for melt ponding and corresponding fraction
	212	!------------------------------------------------------------------
	213
	214	zwfx_mlw(:,:) = wfx_sum(:,:) + wfx_snw(:,:) ! available meltwater for melt ponding
	215
	216	zrfrac(:,:,:) = zrmin + ( zrmax - zrmin ) * a_i(:,:,:)
	217
	218	DO jl = 1, jpl
	219
	220	! v_ip(:,:,jl) ! Initialize things
	221	! a_ip(:,:,jl)
	222	! volpn(:,:) = hpnd(:,:) * apnd(:,:) * aicen(:,:)
	223
	224	!------------------------------------------------------------------------------
	225	! Identify grid cells where ponds should be updated (can probably be improved)
	226	!------------------------------------------------------------------------------
	227
	228	indxi(:) = 0
	229	indxj(:) = 0
	230	icells = 0
	231
	232	DO jj = 1, jpj
	233	DO ji = 1, jpi
	234	IF ( a_i(ji,jj,jl) > epsi10 ) THEN
	235	icells = icells + 1
[8061]	236	indxi(icells) = ji
	237	indxj(icells) = jj
[8060]	238	ENDIF
	239	END DO ! ji
	240	END DO ! jj
	241
	242	DO ij = 1, icells
	243
	244	ji = indxi(ij)
	245	jj = indxj(ij)
	246
	247	zhi = v_i(ji,jj,jl) / a_i(ji,jj,jl)
	248	zhs = v_s(ji,jj,jl) / a_i(ji,jj,jl)
	249
	250	IF ( zhi < rn_himin) THEN !--- Remove ponds on thin ice if ice is too thin
	251
[8061]	252	a_ip(ji,jj,jl) = 0._wp !--- Dump ponds
[8060]	253	v_ip(ji,jj,jl) = 0._wp
	254	a_ip_frac(ji,jj,jl) = 0._wp
	255	h_ip(ji,jj,jl) = 0._wp
	256
[8063]	257	IF ( ( nn_pnd_cpl == 1 ) .OR. ( nn_pnd_cpl == 3 ) ) & !--- Give freshwater to the ocean
[8061]	258	wfx_pnd(ji,jj) = wfx_pnd(ji,jj) + v_ip(ji,jj,jl)
	259
	260
[8060]	261	ELSE !--- Update pond characteristics
	262
	263	!--- Add retained melt water
[8061]	264	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
[8060]	265
	266	!--- Shrink pond due to refreezing
[8061]	267	zdTs = MAX ( zTp - t_su(ji,jj,jl) + rt0 , 0. )
[8060]	268
[8061]	269	zvpold = v_ip(ji,jj,jl)
	270
	271	v_ip(ji,jj,jl) = v_ip(ji,jj,jl) * EXP( zrexp * zdTs / zTp )
	272
	273	!--- Dump meltwater due to refreezing ( of course this is wrong
	274	!--- but this parameterization is too simple )
[8063]	275	IF ( ( nn_pnd_cpl == 1 ) .OR. ( nn_pnd_cpl == 3 ) ) THEN
[8061]	276
	277	wfx_pnd(ji,jj) = wfx_pnd(ji,jj) + rhofw * ( v_ip(ji,jj,jl) - zvpold ) * r1_rdtice
	278
	279	ENDIF
	280
[8060]	281	a_ip_frac(ji,jj,jl) = MIN( 1._wp , SQRT( v_ip(ji,jj,jl) * z1_zpnd_aspect / a_i(ji,jj,jl) ) )
	282
	283	h_ip(ji,jj,jl) = zpnd_aspect * a_ip_frac(ji,jj,jl)
	284
	285	a_ip(ji,jj,jl) = a_ip_frac(ji,jj,jl) * a_i(ji,jj,jl)
	286
	287	!-----------------------------------------------------------
	288	! Limit pond depth
	289	!-----------------------------------------------------------
	290	! hpondn = min(hpondn, dpthhi*hi)
	291
	292	!--- Give freshwater to the ocean ?
	293
	294	ENDIF
	295
[8061]	296	END DO
[8060]	297
[8061]	298	END DO ! jpl
[8060]	299
[8061]	300	!--- Remove retained meltwater from surface fluxes
	301
	302	IF ( ( nn_pnd_cpl .EQ. 1 ) .OR. ( nn_pnd_cpl .EQ. 3 ) ) THEN
	303
	304	wfx_snw(:,:) = wfx_snw(:,:) * ( 1. - zrmin - ( zrmax - zrmin ) * at_i(:,:) )
	305
	306	wfx_sum(:,:) = wfx_sum(:,:) * ( 1. - zrmin - ( zrmax - zrmin ) * at_i(:,:) )
	307
	308	ENDIF
	309
[8060]	310	END SUBROUTINE lim_mp_cesm
	311
[7325]	312	SUBROUTINE lim_mp_topo (aice, aicen, &
	313	vice, vicen, &
	314	vsnon, &
	315	ticen, salin, &
	316	a_ip_frac, h_ip, &
	317	Tsfc )
	318	!!-------------------------------------------------------------------
	319	!! * ROUTINE lim_mp_topo *
	320	!!
	321	!! ** Purpose : Compute melt pond evolution based on the ice
	322	!! topography as inferred from the ice thickness
	323	!! distribution.
	324	!!
	325	!! ** Method : This code is initially based on Flocco and Feltham
	326	!! (2007) and Flocco et al. (2010). More to come...
	327	!!
	328	!! ** Tunable parameters :
	329	!!
	330	!! ** Note :
	331	!!
	332	!! ** References
	333	!! Flocco, D. and D. L. Feltham, 2007. A continuum model of melt pond
	334	!! evolution on Arctic sea ice. J. Geophys. Res. 112, C08016, doi:
	335	!! 10.1029/2006JC003836.
	336	!! Flocco, D., D. L. Feltham and A. K. Turner, 2010. Incorporation of
	337	!! a physically based melt pond scheme into the sea ice component of a
	338	!! climate model. J. Geophys. Res. 115, C08012,
	339	!! doi: 10.1029/2009JC005568.
	340	!!
	341	!!-------------------------------------------------------------------
	342
	343	REAL (wp), DIMENSION (jpi,jpj), &
	344	INTENT(IN) :: &
	345	aice, & ! total ice area fraction
	346	vice ! total ice volume (m)
	347
	348	REAL (wp), DIMENSION (jpi,jpj,jpl), &
	349	INTENT(IN) :: &
	350	aicen, & ! ice area fraction, per category
	351	vsnon, & ! snow volume, per category (m)
	352	vicen ! ice volume, per category (m)
	353
	354	REAL (wp), DIMENSION (jpi,jpj,nlay_i,jpl), &
	355	INTENT(IN) :: &
	356	ticen, & ! ice enthalpy, per category
	357	salin
	358
	359	REAL (wp), DIMENSION (jpi,jpj,jpl), &
	360	INTENT(INOUT) :: &
	361	a_ip_frac , & ! pond area fraction of ice, per ice category
	362	h_ip ! pond depth, per ice category (m)
	363
	364	REAL (wp), DIMENSION (jpi,jpj,jpl), &
	365	INTENT(IN) :: &
	366	Tsfc ! snow/sea ice surface temperature
	367
	368	! local variables
	369	REAL (wp), DIMENSION (jpi,jpj,jpl) :: &
	370	zTsfcn, & ! ice/snow surface temperature (C)
	371	zvolpn, & ! pond volume per unit area, per category (m)
	372	zvuin ! water-equivalent volume of ice lid on melt pond ('upper ice', m)
	373
	374	REAL (wp), DIMENSION (jpi,jpj,jpl) :: &
	375	zapondn,& ! pond area fraction, per category
	376	zhpondn ! pond depth, per category (m)
	377
	378	REAL (wp), DIMENSION (jpi,jpj) :: &
	379	zvolp ! total volume of pond, per unit area of pond (m)
	380
	381	REAL (wp) :: &
	382	zhi, & ! ice thickness (m)
	383	zdHui, & ! change in thickness of ice lid (m)
	384	zomega, & ! conduction
	385	zdTice, & ! temperature difference across ice lid (C)
	386	zdvice, & ! change in ice volume (m)
	387	zTavg, & ! mean surface temperature across categories (C)
	388	zTp, & ! pond freezing temperature (C)
	389	zdvn ! change in melt pond volume for fresh water budget
	390	INTEGER, DIMENSION (jpi*jpj) :: &
	391	indxi, indxj ! compressed indices for cells with ice melting
	392
	393	INTEGER :: n,k,i,j,ij,icells,indxij ! loop indices
	394
	395	INTEGER, DIMENSION (jpl) :: &
	396	kcells ! cells where ice lid combines with vice
	397
	398	INTEGER, DIMENSION (jpi*jpj,jpl) :: &
	399	indxii, indxjj ! i,j indices for kcells loop
	400
	401	REAL (wp), parameter :: &
	402	zhicemin = 0.1_wp , & ! minimum ice thickness with ponds (m)
	403	zTd = 0.15_wp, & ! temperature difference for freeze-up (C)
	404	zr1_rlfus = 1._wp / 0.334e+6 / 917._wp , & ! (J/m^3)
	405	zmin_volp = 1.e-4_wp, & ! minimum pond volume (m)
	406	z0 = 0._wp, &
	407	zTimelt = 0._wp, &
	408	z01 = 0.01_wp, &
	409	z25 = 0.25_wp, &
	410	z5 = 0.5_wp
	411
	412	!---------------------------------------------------------------
	413	! Initialization
	414	!---------------------------------------------------------------
	415
	416	zhpondn(:,:,:) = 0._wp
	417	zapondn(:,:,:) = 0._wp
	418	indxii(:,:) = 0
	419	indxjj(:,:) = 0
	420	kcells(:) = 0
	421
	422	zvolp(:,:) = wfx_sum(:,:) + wfx_snw(:,:) + vt_ip(:,:) ! Total available melt water, to be distributed as melt ponds
	423	zTsfcn(:,:,:) = zTsfcn(:,:,:) - rt0 ! Convert in Celsius
	424
	425	! The freezing temperature for meltponds is assumed slightly below 0C,
	426	! as if meltponds had a little salt in them. The salt budget is not
	427	! altered for meltponds, but if it were then an actual pond freezing
	428	! temperature could be computed.
	429
	430	! zTp = zTimelt - zTd ---> for lids
	431
	432	!-----------------------------------------------------------------
	433	! Identify grid cells with ponds
	434	!-----------------------------------------------------------------
	435
	436	icells = 0
	437	DO j = 1, jpj
	438	DO i = 1, jpi
	439	zhi = z0
	440	IF (aice(i,j) > epsi10 ) zhi = vice(i,j)/aice(i,j)
	441	IF ( aice(i,j) > z01 .and. zhi > zhicemin .and. &
	442	zvolp(i,j) > zmin_volp*aice(i,j)) THEN
	443	icells = icells + 1
	444	indxi(icells) = i
	445	indxj(icells) = j
	446	ELSE ! remove ponds on thin ice
	447	!fpond(i,j) = fpond(i,j) - zvolp(i,j)
	448	zvolpn(i,j,:) = z0
	449	zvuin (i,j,:) = z0
	450	zvolp (i,j) = z0
	451	END IF
	452	END DO ! i
	453	END DO ! j
	454
	455	DO ij = 1, icells
	456	i = indxi(ij)
	457	j = indxj(ij)
	458
	459	!--------------------------------------------------------------
	460	! calculate pond area and depth
	461	!--------------------------------------------------------------
	462	CALL lim_mp_area(aice(i,j),vice(i,j), &
	463	aicen(i,j,:), vicen(i,j,:), vsnon(i,j,:), &
	464	ticen(i,j,:,:), salin(i,j,:,:), &
	465	zvolpn(i,j,:), zvolp(i,j), &
	466	zapondn(i,j,:),zhpondn(i,j,:), zdvn)
	467	! outputs are
	468	! - zdvn
	469	! - zvolpn
	470	! - zvolp
	471	! - zapondn
	472	! - zhpondn
	473
	474	wfx_pnd(i,j) = wfx_pnd(i,j) + zdvn ! update flux from ponds to ocean
	475
[8060]	476	! mean surface temperature MV - why do we need that ? --> for the lid
	477
	478	! zTavg = z0
	479	! DO n = 1, jpl
	480	! zTavg = zTavg + zTsfcn(i,j,n)*aicen(i,j,n)
	481	! END DO
	482	! zTavg = zTavg / aice(i,j)
[7325]	483
	484	END DO ! ij
	485
	486	!---------------------------------------------------------------
	487	! Update pond volume and fraction
	488	!---------------------------------------------------------------
	489
	490	a_ip(:,:,:) = zapondn(:,:,:)
	491	v_ip(:,:,:) = zapondn(:,:,:) * zhpondn(:,:,:)
	492	a_ip_frac(:,:,:) = 0._wp
	493	h_ip (:,:,:) = 0._wp
	494
	495	END SUBROUTINE lim_mp_topo
	496
	497	SUBROUTINE lim_mp_area(aice,vice, &
	498	aicen, vicen, vsnon, ticen, &
	499	salin, zvolpn, zvolp, &
	500	zapondn,zhpondn,dvolp)
	501
	502	!!-------------------------------------------------------------------
	503	!! * ROUTINE lim_mp_area *
	504	!!
	505	!! ** Purpose : Given the total volume of meltwater, update
	506	!! pond fraction (a_ip) and depth (should be volume)
	507	!!
	508	!! **
	509	!!
	510	!!------------------------------------------------------------------
	511
	512	REAL (wp), INTENT(IN) :: &
	513	aice,vice
	514
	515	REAL (wp), DIMENSION(jpl), INTENT(IN) :: &
	516	aicen, vicen, vsnon
	517
	518	REAL (wp), DIMENSION(nlay_i,jpl), INTENT(IN) :: &
	519	ticen, salin
	520
	521	REAL (wp), DIMENSION(jpl), INTENT(INOUT) :: &
	522	zvolpn
	523
	524	REAL (wp), INTENT(INOUT) :: &
	525	zvolp, dvolp
	526
	527	REAL (wp), DIMENSION(jpl), INTENT(OUT) :: &
	528	zapondn, zhpondn
	529
	530	INTEGER :: &
	531	n, ns, &
	532	m_index, &
	533	permflag
	534
	535	REAL (wp), DIMENSION(jpl) :: &
	536	hicen, &
	537	hsnon, &
	538	asnon, &
	539	alfan, &
	540	betan, &
	541	cum_max_vol, &
	542	reduced_aicen
	543
	544	REAL (wp), DIMENSION(0:jpl) :: &
	545	cum_max_vol_tmp
	546
	547	REAL (wp) :: &
	548	hpond, &
	549	drain, &
	550	floe_weight, &
	551	pressure_head, &
	552	hsl_rel, &
	553	deltah, &
	554	perm, &
	555	msno
	556
	557	REAL (wp), parameter :: &
	558	viscosity = 1.79e-3_wp, & ! kinematic water viscosity in kg/m/s
	559	z0 = 0.0_wp , &
	560	c1 = 1.0_wp , &
	561	p4 = 0.4_wp , &
	562	p6 = 0.6_wp , &
	563	epsi10 = 1.0e-11_wp
	564
	565	!-----------\|
	566	! \|
	567	! \|-----------\|
	568	!___________\|___________\|______________________________________sea-level
	569	! \| \|
	570	! \| \|---^--------\|
	571	! \| \| \| \|
	572	! \| \| \| \|-----------\| \|-------
	573	! \| \| \|alfan(n)\| \| \|
	574	! \| \| \| \| \|--------------\|
	575	! \| \| \| \| \| \|
	576	!---------------------------v-------------------------------------------
	577	! \| \| ^ \| \| \|
	578	! \| \| \| \| \|--------------\|
	579	! \| \| \|betan(n)\| \| \|
	580	! \| \| \| \|-----------\| \|-------
	581	! \| \| \| \|
	582	! \| \|---v------- \|
	583	! \| \|
	584	! \|-----------\|
	585	! \|
	586	!-----------\|
	587
	588	!-------------------------------------------------------------------
	589	! initialize
	590	!-------------------------------------------------------------------
	591
	592	DO n = 1, jpl
	593
	594	zapondn(n) = z0
	595	zhpondn(n) = z0
	596
	597	!----------------------------------------
	598	! X) compute the effective snow fraction
	599	!----------------------------------------
	600	IF (aicen(n) < epsi10) THEN
	601	hicen(n) = z0
	602	hsnon(n) = z0
	603	reduced_aicen(n) = z0
	604	ELSE
	605	hicen(n) = vicen(n) / aicen(n)
	606	hsnon(n) = vsnon(n) / aicen(n)
	607	reduced_aicen(n) = c1 ! n=jpl
	608	IF (n < jpl) reduced_aicen(n) = aicen(n) &
	609	* (-0.024_wp*hicen(n) + 0.832_wp)
	610	asnon(n) = reduced_aicen(n) ! effective snow fraction (empirical)
[8060]	611	! MV should check whether this makes sense to have the same effective snow fraction in here
[7325]	612	END IF
	613
	614	! This choice for alfa and beta ignores hydrostatic equilibium of categories.
	615	! Hydrostatic equilibium of the entire ITD is accounted for below, assuming
	616	! a surface topography implied by alfa=0.6 and beta=0.4, and rigidity across all
	617	! categories. alfa and beta partition the ITD - they are areas not thicknesses!
	618	! Multiplying by hicen, alfan and betan (below) are thus volumes per unit area.
	619	! Here, alfa = 60% of the ice area (and since hice is constant in a category,
	620	! alfan = 60% of the ice volume) in each category lies above the reference line,
	621	! and 40% below. Note: p6 is an arbitrary choice, but alfa+beta=1 is required.
[8060]	622
	623	! MV:
	624	! Note that this choice is not in the original FF07 paper and has been adopted in CICE
	625	! No reason why is explained in the doc, but I guess there is a reason. I'll try to investigate, maybe
	626
	627	! Where does that choice come from
[7325]	628
[8060]	629	alfan(n) = 0.6 * hicen(n)
	630	betan(n) = 0.4 * hicen(n)
[7325]	631
	632	cum_max_vol(n) = z0
	633	cum_max_vol_tmp(n) = z0
	634
	635	END DO ! jpl
	636
	637	cum_max_vol_tmp(0) = z0
	638	drain = z0
	639	dvolp = z0
	640
	641	!----------------------------------------------------------
	642	! x) Drain overflow water, update pond fraction and volume
	643	!----------------------------------------------------------
	644
	645	!--------------------------------------------------------------------------
	646	! the maximum amount of water that can be contained up to each ice category
	647	!--------------------------------------------------------------------------
	648
	649	! MV
	650	! If melt ponds are too deep to be sustainable given the ITD (OVERFLOW)
	651	! Then the excess volume cum_max_vol(jl) drains out of the system
	652	! It should be added to wfx_pnd
	653	! END MV
	654
	655	DO n = 1, jpl-1 ! last category can not hold any volume
	656
	657	IF (alfan(n+1) >= alfan(n) .and. alfan(n+1) > z0) THEN
	658
	659	! total volume in level including snow
	660	cum_max_vol_tmp(n) = cum_max_vol_tmp(n-1) + &
	661	(alfan(n+1) - alfan(n)) * sum(reduced_aicen(1:n))
	662
	663	! subtract snow solid volumes from lower categories in current level
	664	DO ns = 1, n
	665	cum_max_vol_tmp(n) = cum_max_vol_tmp(n) &
	666	- rhosn/rhofw * & ! free air fraction that can be filled by water
	667	asnon(ns) * & ! effective areal fraction of snow in that category
	668	max(min(hsnon(ns)+alfan(ns)-alfan(n), alfan(n+1)- &
	669	alfan(n)), z0)
	670	END DO
	671
	672	ELSE ! assume higher categories unoccupied
	673	cum_max_vol_tmp(n) = cum_max_vol_tmp(n-1)
	674	END IF
	675	!IF (cum_max_vol_tmp(n) < z0) THEN
	676	! call abort_ice('negative melt pond volume')
	677	!END IF
	678	END DO
	679	cum_max_vol_tmp(jpl) = cum_max_vol_tmp(jpl-1) ! last category holds no volume
	680	cum_max_vol (1:jpl) = cum_max_vol_tmp(1:jpl)
	681
	682	!----------------------------------------------------------------
	683	! is there more meltwater than can be held in the floe?
	684	!----------------------------------------------------------------
	685	IF (zvolp >= cum_max_vol(jpl)) THEN
	686	drain = zvolp - cum_max_vol(jpl) + epsi10
	687	zvolp = zvolp - drain ! update meltwater volume available
	688	dvolp = drain ! this is the drained water
	689	IF (zvolp < epsi10) THEN
	690	dvolp = dvolp + zvolp
	691	zvolp = z0
	692	END IF
	693	END IF
	694
	695	! height and area corresponding to the remaining volume
	696
	697	! call calc_hpond(reduced_aicen, asnon, hsnon, rhos, alfan, &
	698	! zvolp, cum_max_vol, hpond, m_index)
	699
	700	DO n=1, m_index
	701	zhpondn(n) = hpond - alfan(n) + alfan(1) ! here oui choulde update
	702	! volume instead, no ?
	703	zapondn(n) = reduced_aicen(n)
	704	! in practise, pond fraction depends on the empirical snow fraction
	705	! so in turn on ice thickness
	706	END DO
	707
	708	!------------------------------------------------------------------------
	709	! Drainage through brine network (permeability)
	710	!------------------------------------------------------------------------
	711	!!! drainage due to ice permeability - Darcy's law
	712
	713	! sea water level
	714	msno = z0
	715	DO n=1,jpl
	716	msno = msno + vsnon(n) * rhosn
	717	END DO
	718	floe_weight = (msno + rhoicvice + rau0zvolp) / aice
	719	hsl_rel = floe_weight / rau0 &
	720	- ((sum(betan(:)*aicen(:))/aice) + alfan(1))
	721
	722	deltah = hpond - hsl_rel
	723	pressure_head = grav * rau0 * max(deltah, z0)
	724
	725	! drain IF ice is permeable
	726	permflag = 0
	727	IF (pressure_head > z0) THEN
	728	DO n = 1, jpl-1
	729	IF (hicen(n) /= z0) THEN
	730	perm = 0. ! MV ugly dummy patch
	731	CALL lim_mp_perm(ticen(:,n), salin(:,n), vicen(n), perm)
	732	IF (perm > z0) permflag = 1
	733
	734	drain = permzapondn(n)pressure_head*rdt_ice / &
	735	(viscosity*hicen(n))
	736	dvolp = dvolp + min(drain, zvolp)
	737	zvolp = max(zvolp - drain, z0)
	738	IF (zvolp < epsi10) THEN
	739	dvolp = dvolp + zvolp
	740	zvolp = z0
	741	END IF
	742	END IF
	743	END DO
	744
	745	! adjust melt pond DIMENSIONs
	746	IF (permflag > 0) THEN
	747	! recompute pond depth
	748	! CALL calc_hpond(reduced_aicen, asnon, hsnon, rhos, alfan, &
	749	! zvolp, cum_max_vol, hpond, m_index)
	750	DO n=1, m_index
	751	zhpondn(n) = hpond - alfan(n) + alfan(1)
	752	zapondn(n) = reduced_aicen(n)
	753	END DO
	754	END IF
	755	END IF ! pressure_head
	756
	757	!-------------------------------
	758	! X) remove water from the snow
	759	!-------------------------------
	760	!------------------------------------------------------------------------
	761	! total melt pond volume in category DOes not include snow volume
	762	! snow in melt ponds is not melted
	763	!------------------------------------------------------------------------
	764
	765	! Calculate pond volume for lower categories
	766	DO n=1,m_index-1
	767	zvolpn(n) = zapondn(n) * zhpondn(n) & ! what is not in the snow
	768	- (rhosn/rhofw) * asnon(n) * min(hsnon(n), zhpondn(n))
	769	END DO
	770
	771	! Calculate pond volume for highest category = remaining pond volume
	772
	773	! The following is completely unclear to Martin at least
	774	! Could we redefine properly and recode in a more readable way ?
	775
	776	! m_index = last category with melt pond
	777
	778	IF (m_index == 1) zvolpn(m_index) = zvolp ! volume of mw in 1st category is the total volume of melt water
	779
	780	IF (m_index > 1) THEN
	781	IF (zvolp > sum(zvolpn(1:m_index-1))) THEN
	782	zvolpn(m_index) = zvolp - sum(zvolpn(1:m_index-1)) !
	783	ELSE
	784	zvolpn(m_index) = z0
	785	zhpondn(m_index) = z0
	786	zapondn(m_index) = z0
	787	! If remaining pond volume is negative reduce pond volume of
	788	! lower category
	789	IF (zvolp+epsi10 < sum(zvolpn(1:m_index-1))) &
	790	zvolpn(m_index-1) = zvolpn(m_index-1)-sum(zvolpn(1:m_index-1))&
	791	+ zvolp
	792	END IF
	793	END IF
	794
	795	DO n=1,m_index
	796	IF (zapondn(n) > epsi10) THEN
	797	zhpondn(n) = zvolpn(n) / zapondn(n)
	798	ELSE
	799	dvolp = dvolp + zvolpn(n)
	800	zhpondn(n) = z0
	801	zvolpn(n) = z0
	802	zapondn(n) = z0
	803	end IF
	804	END DO
	805	DO n = m_index+1, jpl
	806	zhpondn(n) = z0
	807	zapondn(n) = z0
	808	zvolpn (n) = z0
	809	END DO
	810
	811	END SUBROUTINE lim_mp_area
	812
	813	!OLI_CODE
	814	!OLI_CODE
	815	!OLI_CODE SUBROUTINE calc_hpond(aicen, asnon, hsnon, rhos, alfan, &
	816	!OLI_CODE zvolp, cum_max_vol, &
	817	!OLI_CODE hpond, m_index)
	818	!OLI_CODE !!-------------------------------------------------------------------
	819	!OLI_CODE !! * ROUTINE calc_hpond *
	820	!OLI_CODE !!
	821	!OLI_CODE !! ** Purpose : Compute melt pond depth
	822	!OLI_CODE !!-------------------------------------------------------------------
	823	!OLI_CODE
	824	!OLI_CODE REAL (wp), DIMENSION(jpl), INTENT(IN) :: &
	825	!OLI_CODE aicen, &
	826	!OLI_CODE asnon, &
	827	!OLI_CODE hsnon, &
	828	!OLI_CODE rhos, &
	829	!OLI_CODE alfan, &
	830	!OLI_CODE cum_max_vol
	831	!OLI_CODE
	832	!OLI_CODE REAL (wp), INTENT(IN) :: &
	833	!OLI_CODE zvolp
	834	!OLI_CODE
	835	!OLI_CODE REAL (wp), INTENT(OUT) :: &
	836	!OLI_CODE hpond
	837	!OLI_CODE
	838	!OLI_CODE INTEGER, INTENT(OUT) :: &
	839	!OLI_CODE m_index
	840	!OLI_CODE
	841	!OLI_CODE INTEGER :: n, ns
	842	!OLI_CODE
	843	!OLI_CODE REAL (wp), DIMENSION(0:jpl+1) :: &
	844	!OLI_CODE hitl, &
	845	!OLI_CODE aicetl
	846	!OLI_CODE
	847	!OLI_CODE REAL (wp) :: &
	848	!OLI_CODE rem_vol, &
	849	!OLI_CODE area, &
	850	!OLI_CODE vol, &
	851	!OLI_CODE tmp, &
	852	!OLI_CODE z0 = 0.0_wp, &
	853	!OLI_CODE epsi10 = 1.0e-11_wp
	854	!OLI_CODE
	855	!OLI_CODE !----------------------------------------------------------------
	856	!OLI_CODE ! hpond is zero if zvolp is zero - have we fully drained?
	857	!OLI_CODE !----------------------------------------------------------------
	858	!OLI_CODE
	859	!OLI_CODE IF (zvolp < epsi10) THEN
	860	!OLI_CODE hpond = z0
	861	!OLI_CODE m_index = 0
	862	!OLI_CODE ELSE
	863	!OLI_CODE
	864	!OLI_CODE !----------------------------------------------------------------
	865	!OLI_CODE ! Calculate the category where water fills up to
	866	!OLI_CODE !----------------------------------------------------------------
	867	!OLI_CODE
	868	!OLI_CODE !----------\|
	869	!OLI_CODE ! \|
	870	!OLI_CODE ! \|
	871	!OLI_CODE ! \|----------\| -- --
	872	!OLI_CODE !__________\|__________\|_________________________________________ ^
	873	!OLI_CODE ! \| \| rem_vol ^ \| Semi-filled
	874	!OLI_CODE ! \| \|----------\|-- -- -- - ---\|-- ---- -- -- --v layer
	875	!OLI_CODE ! \| \| \| \|
	876	!OLI_CODE ! \| \| \| \|hpond
	877	!OLI_CODE ! \| \| \|----------\| \| \|-------
	878	!OLI_CODE ! \| \| \| \| \| \|
	879	!OLI_CODE ! \| \| \| \|---v-----\|
	880	!OLI_CODE ! \| \| m_index \| \| \|
	881	!OLI_CODE !-------------------------------------------------------------
	882	!OLI_CODE
	883	!OLI_CODE m_index = 0 ! 1:m_index categories have water in them
	884	!OLI_CODE DO n = 1, jpl
	885	!OLI_CODE IF (zvolp <= cum_max_vol(n)) THEN
	886	!OLI_CODE m_index = n
	887	!OLI_CODE IF (n == 1) THEN
	888	!OLI_CODE rem_vol = zvolp
	889	!OLI_CODE ELSE
	890	!OLI_CODE rem_vol = zvolp - cum_max_vol(n-1)
	891	!OLI_CODE END IF
	892	!OLI_CODE exit ! to break out of the loop
	893	!OLI_CODE END IF
	894	!OLI_CODE END DO
	895	!OLI_CODE m_index = min(jpl-1, m_index)
	896	!OLI_CODE
	897	!OLI_CODE !----------------------------------------------------------------
	898	!OLI_CODE ! semi-filled layer may have m_index different snow in it
	899	!OLI_CODE !----------------------------------------------------------------
	900	!OLI_CODE
	901	!OLI_CODE !----------------------------------------------------------- ^
	902	!OLI_CODE ! \| alfan(m_index+1)
	903	!OLI_CODE ! \|
	904	!OLI_CODE !hitl(3)--> \|----------\| \|
	905	!OLI_CODE !hitl(2)--> \|------------\| * * * * *\| \|
	906	!OLI_CODE !hitl(1)--> \|----------\|* * * * * * \|* * * * * \| \|
	907	!OLI_CODE !hitl(0)-->------------------------------------------------- \| ^
	908	!OLI_CODE ! various snow from lower categories \| \|alfa(m_index)
	909	!OLI_CODE
	910	!OLI_CODE ! hitl - heights of the snow layers from thinner and current categories
	911	!OLI_CODE ! aicetl - area of each snow depth in this layer
	912	!OLI_CODE
	913	!OLI_CODE hitl(:) = z0
	914	!OLI_CODE aicetl(:) = z0
	915	!OLI_CODE DO n = 1, m_index
	916	!OLI_CODE hitl(n) = max(min(hsnon(n) + alfan(n) - alfan(m_index), &
	917	!OLI_CODE alfan(m_index+1) - alfan(m_index)), z0)
	918	!OLI_CODE aicetl(n) = asnon(n)
	919	!OLI_CODE
	920	!OLI_CODE aicetl(0) = aicetl(0) + (aicen(n) - asnon(n))
	921	!OLI_CODE END DO
	922	!OLI_CODE hitl(m_index+1) = alfan(m_index+1) - alfan(m_index)
	923	!OLI_CODE aicetl(m_index+1) = z0
	924	!OLI_CODE
	925	!OLI_CODE !----------------------------------------------------------------
	926	!OLI_CODE ! reorder array according to hitl
	927	!OLI_CODE ! snow heights not necessarily in height order
	928	!OLI_CODE !----------------------------------------------------------------
	929	!OLI_CODE
	930	!OLI_CODE DO ns = 1, m_index+1
	931	!OLI_CODE DO n = 0, m_index - ns + 1
	932	!OLI_CODE IF (hitl(n) > hitl(n+1)) THEN ! swap order
	933	!OLI_CODE tmp = hitl(n)
	934	!OLI_CODE hitl(n) = hitl(n+1)
	935	!OLI_CODE hitl(n+1) = tmp
	936	!OLI_CODE tmp = aicetl(n)
	937	!OLI_CODE aicetl(n) = aicetl(n+1)
	938	!OLI_CODE aicetl(n+1) = tmp
	939	!OLI_CODE END IF
	940	!OLI_CODE END DO
	941	!OLI_CODE END DO
	942	!OLI_CODE
	943	!OLI_CODE !----------------------------------------------------------------
	944	!OLI_CODE ! divide semi-filled layer into set of sublayers each vertically homogenous
	945	!OLI_CODE !----------------------------------------------------------------
	946	!OLI_CODE
	947	!OLI_CODE !hitl(3)----------------------------------------------------------------
	948	!OLI_CODE ! \| * * * * * * * *
	949	!OLI_CODE ! \|* * * * * * * * *
	950	!OLI_CODE !hitl(2)----------------------------------------------------------------
	951	!OLI_CODE ! \| * * * * * * * * \| * * * * * * * *
	952	!OLI_CODE ! \|* * * * * * * * * \|* * * * * * * * *
	953	!OLI_CODE !hitl(1)----------------------------------------------------------------
	954	!OLI_CODE ! \| * * * * * * * * \| * * * * * * * * \| * * * * * * * *
	955	!OLI_CODE ! \|* * * * * * * * * \|* * * * * * * * * \|* * * * * * * * *
	956	!OLI_CODE !hitl(0)----------------------------------------------------------------
	957	!OLI_CODE ! aicetl(0) aicetl(1) aicetl(2) aicetl(3)
	958	!OLI_CODE
	959	!OLI_CODE ! move up over layers incrementing volume
	960	!OLI_CODE DO n = 1, m_index+1
	961	!OLI_CODE
	962	!OLI_CODE area = sum(aicetl(:)) - & ! total area of sub-layer
	963	!OLI_CODE (rhos(n)/rau0) * sum(aicetl(n:jpl+1)) ! area of sub-layer occupied by snow
	964	!OLI_CODE
	965	!OLI_CODE vol = (hitl(n) - hitl(n-1)) * area ! thickness of sub-layer times area
	966	!OLI_CODE
	967	!OLI_CODE IF (vol >= rem_vol) THEN ! have reached the sub-layer with the depth within
	968	!OLI_CODE hpond = rem_vol / area + hitl(n-1) + alfan(m_index) - &
	969	!OLI_CODE alfan(1)
	970	!OLI_CODE exit
	971	!OLI_CODE ELSE ! still in sub-layer below the sub-layer with the depth
	972	!OLI_CODE rem_vol = rem_vol - vol
	973	!OLI_CODE END IF
	974	!OLI_CODE
	975	!OLI_CODE END DO
	976	!OLI_CODE
	977	!OLI_CODE END IF
	978	!OLI_CODE
	979	!OLI_CODE END SUBROUTINE calc_hpond
	980	!OLI_CODE
	981	!OLI_CODE
	982	SUBROUTINE lim_mp_perm(ticen, salin, vicen, perm)
	983	!!-------------------------------------------------------------------
	984	!! * ROUTINE lim_mp_perm *
	985	!!
	986	!! ** Purpose : Determine the liquid fraction of brine in the ice
	987	!! and its permeability
	988	!!-------------------------------------------------------------------
	989	REAL (wp), DIMENSION(nlay_i), INTENT(IN) :: &
	990	ticen, & ! energy of melting for each ice layer (J/m2)
	991	salin
	992
	993	REAL (wp), INTENT(IN) :: &
	994	vicen ! ice volume
	995
	996	REAL (wp), INTENT(OUT) :: &
	997	perm ! permeability
	998
	999	REAL (wp) :: &
	1000	Sbr ! brine salinity
	1001
	1002	REAL (wp), DIMENSION(nlay_i) :: &
	1003	Tin, & ! ice temperature
	1004	phi ! liquid fraction
	1005
	1006	INTEGER :: k
	1007
	1008	REAL (wp) :: &
	1009	c2 = 2.0_wp
	1010
	1011	!-----------------------------------------------------------------
	1012	! Compute ice temperatures from enthalpies using quadratic formula
	1013	!-----------------------------------------------------------------
	1014
	1015	DO k = 1,nlay_i
	1016	Tin(k) = ticen(k)
	1017	END DO
	1018
	1019	!-----------------------------------------------------------------
	1020	! brine salinity and liquid fraction
	1021	!-----------------------------------------------------------------
	1022
	1023	IF (maxval(Tin-rtt) <= -c2) THEN
	1024
	1025	DO k = 1,nlay_i
	1026	Sbr = - 1.2_wp &
	1027	-21.8_wp * (Tin(k)-rtt) &
	1028	- 0.919_wp * (Tin(k)-rtt)**2 &
	1029	- 0.01878_wp * (Tin(k)-rtt)**3
	1030	phi(k) = salin(k)/Sbr ! liquid fraction
	1031	END DO ! k
	1032
	1033	ELSE
	1034
	1035	DO k = 1,nlay_i
	1036	Sbr = -17.6_wp * (Tin(k)-rtt) &
	1037	- 0.389_wp * (Tin(k)-rtt)**2 &
	1038	- 0.00362_wp* (Tin(k)-rtt)**3
	1039	phi(k) = salin(k)/Sbr ! liquid fraction
	1040	END DO
	1041
	1042	END IF
	1043
	1044	!-----------------------------------------------------------------
	1045	! permeability
	1046	!-----------------------------------------------------------------
	1047
	1048	perm = 3.0e-08_wp * (minval(phi))**3 ! REFERENCE PLEASE (this fucking
	1049	! bastard of Golden)
	1050
	1051	END SUBROUTINE lim_mp_perm
	1052	!OLI_CODE
	1053	!OLI_CODE #else
	1054	!OLI_CODE !!----------------------------------------------------------------------
	1055	!OLI_CODE !! Default option Dummy Module No LIM-3 sea-ice model
	1056	!OLI_CODE !!----------------------------------------------------------------------
	1057	!OLI_CODE CONTAINS
	1058	!OLI_CODE SUBROUTINE lim_mp_init ! Empty routine
	1059	!OLI_CODE END SUBROUTINE lim_mp_init
	1060	!OLI_CODE SUBROUTINE lim_mp ! Empty routine
	1061	!OLI_CODE END SUBROUTINE lim_mp
	1062	!OLI_CODE SUBROUTINE compute_mp_topo ! Empty routine
	1063	!OLI_CODE END SUBROUTINE compute_mp_topo
	1064	!OLI_CODE SUBROUTINE pond_area ! Empty routine
	1065	!OLI_CODE END SUBROUTINE pond_area
	1066	!OLI_CODE SUBROUTINE calc_hpond ! Empty routine
	1067	!OLI_CODE END SUBROUTINE calc_hpond
	1068	!OLI_CODE SUBROUTINE permeability_phy ! Empty routine
	1069	!OLI_CODE END SUBROUTINE permeability_phy
	1070	!OLI_CODE #endif
	1071	!OLI_CODE !!======================================================================
	1072	!OLI_CODE END MODULE limmp_topo
	1073
	1074
[7293]	1075	!OLI_CODE MODULE limmp_topo
	1076	!OLI_CODE !!======================================================================
	1077	!OLI_CODE !! * MODULE limmp_topo *
	1078	!OLI_CODE !! LIM-3 sea-ice : computation of melt ponds' properties
	1079	!OLI_CODE !!======================================================================
	1080	!OLI_CODE !! History : Original code by Daniela Flocco and Adrian Turner
	1081	!OLI_CODE !! ! 2012-09 (O. Lecomte) Adaptation for routine inclusion in
	1082	!OLI_CODE !! NEMO-LIM3.1
	1083	!OLI_CODE !! ! 2016-11 (O. Lecomte, C. Rousset, M. Vancoppenolle)
	1084	!OLI_CODE !! Adaptation for merge with NEMO-LIM3.6
	1085	!OLI_CODE !!----------------------------------------------------------------------
	1086	!OLI_CODE #if defined key_lim3
	1087	!OLI_CODE !!----------------------------------------------------------------------
	1088	!OLI_CODE !! 'key_lim3' LIM-3 sea-ice model
	1089	!OLI_CODE !!----------------------------------------------------------------------
	1090	!OLI_CODE !! lim_mp_init : melt pond properties initialization
	1091	!OLI_CODE !! lim_mp : melt pond routine caller
	1092	!OLI_CODE !! compute_mp_topo : Actual melt pond routine
	1093	!OLI_CODE !!----------------------------------------------------------------------
	1094	!OLI_CODE USE ice_oce, ONLY: rdt_ice, tatm_ice
	1095	!OLI_CODE USE phycst
	1096	!OLI_CODE USE dom_ice
	1097	!OLI_CODE USE dom_oce
	1098	!OLI_CODE USE sbc_oce
	1099	!OLI_CODE USE sbc_ice
	1100	!OLI_CODE USE par_ice
	1101	!OLI_CODE USE par_oce
	1102	!OLI_CODE USE ice
	1103	!OLI_CODE USE thd_ice
	1104	!OLI_CODE USE in_out_manager
	1105	!OLI_CODE USE lbclnk
	1106	!OLI_CODE USE lib_mpp
	1107	!OLI_CODE
	1108	!OLI_CODE IMPLICIT NONE
	1109	!OLI_CODE PRIVATE
	1110	!OLI_CODE
	1111	!OLI_CODE PUBLIC lim_mp_init
	1112	!OLI_CODE PUBLIC lim_mp
	1113	!OLI_CODE
	1114	!OLI_CODE CONTAINS
	1115	!OLI_CODE
	1116	!OLI_CODE SUBROUTINE lim_mp_init
	1117	!OLI_CODE !!-------------------------------------------------------------------
	1118	!OLI_CODE !! * ROUTINE lim_mp_init *
	1119	!OLI_CODE !!
	1120	!OLI_CODE !! ** Purpose : Initialize melt ponds
	1121	!OLI_CODE !!-------------------------------------------------------------------
	1122	!OLI_CODE a_ip_frac(:,:,:) = 0._wp
	1123	!OLI_CODE a_ip(:,:,:) = 0._wp
	1124	!OLI_CODE h_ip(:,:,:) = 0._wp
	1125	!OLI_CODE v_ip(:,:,:) = 0._wp
	1126	!OLI_CODE h_il(:,:,:) = 0._wp
	1127	!OLI_CODE v_il(:,:,:) = 0._wp
	1128	!OLI_CODE
	1129	!OLI_CODE END SUBROUTINE lim_mp_init
	1130	!OLI_CODE
	1131	!OLI_CODE
	1132	!OLI_CODE SUBROUTINE lim_mp
	1133	!OLI_CODE !!-------------------------------------------------------------------
	1134	!OLI_CODE !! * ROUTINE lim_mp *
	1135	!OLI_CODE !!
	1136	!OLI_CODE !! ** Purpose : Compute surface heat flux and call main melt pond
	1137	!OLI_CODE !! routine
	1138	!OLI_CODE !!-------------------------------------------------------------------
	1139	!OLI_CODE
	1140	!OLI_CODE INTEGER :: ji, jj, jl ! dummy loop indices
	1141	!OLI_CODE
	1142	!OLI_CODE fsurf(:,:) = 0.e0
	1143	!OLI_CODE DO jl = 1, jpl
	1144	!OLI_CODE DO jj = 1, jpj
	1145	!OLI_CODE DO ji = 1, jpi
	1146	!OLI_CODE fsurf(ji,jj) = fsurf(ji,jj) + a_i(ji,jj,jl) * &
	1147	!OLI_CODE (qns_ice(ji,jj,jl) + (1.0 - izero(ji,jj,jl)) &
	1148	!OLI_CODE * qsr_ice(ji,jj,jl))
	1149	!OLI_CODE END DO
	1150	!OLI_CODE END DO
	1151	!OLI_CODE END DO
	1152	!OLI_CODE
	1153	!OLI_CODE CALL compute_mp_topo(at_i, a_i, &
	1154	!OLI_CODE vt_i, v_i, v_s, rhosn_glo, t_i, s_i, a_ip_frac, &
	1155	!OLI_CODE h_ip, h_il, t_su, tatm_ice, diag_sur_me*rdt_ice, &
	1156	!OLI_CODE fsurf, fwoc)
	1157	!OLI_CODE
	1158	!OLI_CODE at_ip(:,:) = 0.0
	1159	!OLI_CODE vt_ip(:,:) = 0.0
	1160	!OLI_CODE vt_il(:,:) = 0.0
	1161	!OLI_CODE DO jl = 1, jpl
	1162	!OLI_CODE DO jj = 1, jpj
	1163	!OLI_CODE DO ji = 1, jpi
	1164	!OLI_CODE a_ip(ji,jj,jl) = MAX(0.0_wp, a_ip_frac(ji,jj,jl) * &
	1165	!OLI_CODE a_i(ji,jj,jl))
	1166	!OLI_CODE v_ip(ji,jj,jl) = MAX(0.0_wp, a_ip_frac(ji,jj,jl) * &
	1167	!OLI_CODE a_i(ji,jj,jl) * h_ip(ji,jj,jl))
	1168	!OLI_CODE v_il(ji,jj,jl) = MAX(0.0_wp, a_ip_frac(ji,jj,jl) * &
	1169	!OLI_CODE a_i(ji,jj,jl) * h_il(ji,jj,jl))
	1170	!OLI_CODE at_ip(ji,jj) = at_ip(ji,jj) + a_ip(ji,jj,jl)
	1171	!OLI_CODE vt_ip(ji,jj) = vt_ip(ji,jj) + v_ip(ji,jj,jl)
	1172	!OLI_CODE vt_il(ji,jj) = vt_il(ji,jj) + v_il(ji,jj,jl)
	1173	!OLI_CODE END DO
	1174	!OLI_CODE END DO
	1175	!OLI_CODE END DO
	1176	!OLI_CODE
	1177	!OLI_CODE END SUBROUTINE lim_mp
	1178	!OLI_CODE
	1179	!OLI_CODE
	1180	!OLI_CODE SUBROUTINE compute_mp_topo(aice, aicen, &
	1181	!OLI_CODE vice, vicen, &
	1182	!OLI_CODE vsnon, rhos, &
	1183	!OLI_CODE ticen, salin, &
	1184	!OLI_CODE a_ip_frac, h_ip, &
	1185	!OLI_CODE h_il, Tsfc, &
	1186	!OLI_CODE potT, meltt, &
	1187	!OLI_CODE fsurf, fwoc)
	1188	!OLI_CODE !!-------------------------------------------------------------------
	1189	!OLI_CODE !! * ROUTINE compute_mp_topo *
	1190	!OLI_CODE !!
	1191	!OLI_CODE !! ** Purpose : Compute melt pond evolution based on the ice
	1192	!OLI_CODE !! topography as inferred from the ice thickness
	1193	!OLI_CODE !! distribution.
	1194	!OLI_CODE !!
	1195	!OLI_CODE !! ** Method : This code is initially based on Flocco and Feltham
	1196	!OLI_CODE !! (2007) and Flocco et al. (2010). More to come...
	1197	!OLI_CODE !!
	1198	!OLI_CODE !! ** Tunable parameters :
	1199	!OLI_CODE !!
	1200	!OLI_CODE !! ** Note :
	1201	!OLI_CODE !!
	1202	!OLI_CODE !! ** References
	1203	!OLI_CODE !! Flocco, D. and D. L. Feltham, 2007. A continuum model of melt pond
	1204	!OLI_CODE !! evolution on Arctic sea ice. J. Geophys. Res. 112, C08016, doi:
	1205	!OLI_CODE !! 10.1029/2006JC003836.
	1206	!OLI_CODE !! Flocco, D., D. L. Feltham and A. K. Turner, 2010. Incorporation of
	1207	!OLI_CODE !! a physically based melt pond scheme into the sea ice component of a
	1208	!OLI_CODE !! climate model. J. Geophys. Res. 115, C08012,
	1209	!OLI_CODE !! doi: 10.1029/2009JC005568.
	1210	!OLI_CODE !!
	1211	!OLI_CODE !!-------------------------------------------------------------------
	1212	!OLI_CODE
	1213	!OLI_CODE REAL (wp), DIMENSION (jpi,jpj), &
	1214	!OLI_CODE INTENT(IN) :: &
	1215	!OLI_CODE aice, & ! total ice area fraction
	1216	!OLI_CODE vice ! total ice volume (m)
	1217	!OLI_CODE
	1218	!OLI_CODE REAL (wp), DIMENSION (jpi,jpj,jpl), &
	1219	!OLI_CODE INTENT(IN) :: &
	1220	!OLI_CODE aicen, & ! ice area fraction, per category
	1221	!OLI_CODE vsnon, & ! snow volume, per category (m)
	1222	!OLI_CODE rhos, & ! equivalent snow density, per category (kg/m^3)
	1223	!OLI_CODE vicen ! ice volume, per category (m)
	1224	!OLI_CODE
	1225	!OLI_CODE REAL (wp), DIMENSION (jpi,jpj,nlay_i,jpl), &
	1226	!OLI_CODE INTENT(IN) :: &
	1227	!OLI_CODE ticen, & ! ice enthalpy, per category
	1228	!OLI_CODE salin
	1229	!OLI_CODE
	1230	!OLI_CODE REAL (wp), DIMENSION (jpi,jpj,jpl), &
	1231	!OLI_CODE INTENT(INOUT) :: &
	1232	!OLI_CODE a_ip_frac , & ! pond area fraction of ice, per ice category
	1233	!OLI_CODE h_ip , & ! pond depth, per ice category (m)
	1234	!OLI_CODE h_il ! Refrozen ice lid thickness, per ice category (m)
	1235	!OLI_CODE
	1236	!OLI_CODE REAL (wp), DIMENSION (jpi,jpj), &
	1237	!OLI_CODE INTENT(IN) :: &
	1238	!OLI_CODE potT, & ! air potential temperature
	1239	!OLI_CODE meltt, & ! total surface meltwater flux
	1240	!OLI_CODE fsurf ! thermodynamic heat flux at ice/snow surface (W/m^2)
	1241	!OLI_CODE
	1242	!OLI_CODE REAL (wp), DIMENSION (jpi,jpj), &
	1243	!OLI_CODE INTENT(INOUT) :: &
	1244	!OLI_CODE fwoc ! fresh water flux to the ocean (from draining and other pond volume adjustments)
	1245	!OLI_CODE ! (m)
	1246	!OLI_CODE
	1247	!OLI_CODE REAL (wp), DIMENSION (jpi,jpj,jpl), &
	1248	!OLI_CODE INTENT(IN) :: &
	1249	!OLI_CODE Tsfc ! snow/sea ice surface temperature
	1250	!OLI_CODE
	1251	!OLI_CODE ! local variables
	1252	!OLI_CODE REAL (wp), DIMENSION (jpi,jpj,jpl) :: &
	1253	!OLI_CODE zTsfcn, & ! ice/snow surface temperature (C)
	1254	!OLI_CODE zvolpn, & ! pond volume per unit area, per category (m)
	1255	!OLI_CODE zvuin ! water-equivalent volume of ice lid on melt pond ('upper ice', m)
	1256	!OLI_CODE
	1257	!OLI_CODE REAL (wp), DIMENSION (jpi,jpj,jpl) :: &
	1258	!OLI_CODE zapondn,& ! pond area fraction, per category
	1259	!OLI_CODE zhpondn ! pond depth, per category (m)
	1260	!OLI_CODE
	1261	!OLI_CODE REAL (wp), DIMENSION (jpi,jpj) :: &
	1262	!OLI_CODE zvolp ! total volume of pond, per unit area of pond (m)
	1263	!OLI_CODE
	1264	!OLI_CODE REAL (wp) :: &
	1265	!OLI_CODE zhi, & ! ice thickness (m)
	1266	!OLI_CODE zdHui, & ! change in thickness of ice lid (m)
	1267	!OLI_CODE zomega, & ! conduction
	1268	!OLI_CODE zdTice, & ! temperature difference across ice lid (C)
	1269	!OLI_CODE zdvice, & ! change in ice volume (m)
	1270	!OLI_CODE zTavg, & ! mean surface temperature across categories (C)
	1271	!OLI_CODE zTp, & ! pond freezing temperature (C)
	1272	!OLI_CODE zdvn ! change in melt pond volume for fresh water budget
	1273	!OLI_CODE INTEGER, DIMENSION (jpi*jpj) :: &
	1274	!OLI_CODE indxi, indxj ! compressed indices for cells with ice melting
	1275	!OLI_CODE
	1276	!OLI_CODE INTEGER :: n,k,i,j,ij,icells,indxij ! loop indices
	1277	!OLI_CODE
	1278	!OLI_CODE INTEGER, DIMENSION (jpl) :: &
	1279	!OLI_CODE kcells ! cells where ice lid combines with vice
	1280	!OLI_CODE
	1281	!OLI_CODE INTEGER, DIMENSION (jpi*jpj,jpl) :: &
	1282	!OLI_CODE indxii, indxjj ! i,j indices for kcells loop
	1283	!OLI_CODE
	1284	!OLI_CODE REAL (wp), parameter :: &
	1285	!OLI_CODE zhicemin = 0.1_wp , & ! minimum ice thickness with ponds (m)
	1286	!OLI_CODE zTd = 0.15_wp, & ! temperature difference for freeze-up (C)
	1287	!OLI_CODE zr1_rlfus = 1._wp / 0.334e+6 / 917._wp , & ! (J/m^3)
	1288	!OLI_CODE zmin_volp = 1.e-4_wp, & ! minimum pond volume (m)
	1289	!OLI_CODE z0 = 0._wp, &
	1290	!OLI_CODE zTimelt = 0._wp, &
	1291	!OLI_CODE z01 = 0.01_wp, &
	1292	!OLI_CODE z25 = 0.25_wp, &
	1293	!OLI_CODE z5 = 0.5_wp, &
[7325]	1294	!OLI_CODE epsi10 = 1.0e-11_wp
[7293]	1295	!OLI_CODE !---------------------------------------------------------------
	1296	!OLI_CODE ! initialize
	1297	!OLI_CODE !---------------------------------------------------------------
	1298	!OLI_CODE
	1299	!OLI_CODE DO j = 1, jpj
	1300	!OLI_CODE DO i = 1, jpi
	1301	!OLI_CODE zvolp(i,j) = z0
	1302	!OLI_CODE END DO
	1303	!OLI_CODE END DO
	1304	!OLI_CODE DO n = 1, jpl
	1305	!OLI_CODE DO j = 1, jpj
	1306	!OLI_CODE DO i = 1, jpi
	1307	!OLI_CODE ! load tracers
	1308	!OLI_CODE zvolp(i,j) = zvolp(i,j) + h_ip(i,j,n) &
	1309	!OLI_CODE * a_ip_frac(i,j,n) * aicen(i,j,n)
	1310	!OLI_CODE zTsfcn(i,j,n) = Tsfc(i,j,n) - rtt ! convert in Celsius - Oli
	1311	!OLI_CODE zvuin (i,j,n) = h_il(i,j,n) &
	1312	!OLI_CODE * a_ip_frac(i,j,n) * aicen(i,j,n)
	1313	!OLI_CODE
	1314	!OLI_CODE zhpondn(i,j,n) = z0 ! pond depth, per category
	1315	!OLI_CODE zapondn(i,j,n) = z0 ! pond area, per category
	1316	!OLI_CODE END DO
	1317	!OLI_CODE END DO
	1318	!OLI_CODE indxii(:,n) = 0
	1319	!OLI_CODE indxjj(:,n) = 0
	1320	!OLI_CODE kcells (n) = 0
	1321	!OLI_CODE END DO
	1322	!OLI_CODE
	1323	!OLI_CODE ! The freezing temperature for meltponds is assumed slightly below 0C,
	1324	!OLI_CODE ! as if meltponds had a little salt in them. The salt budget is not
	1325	!OLI_CODE ! altered for meltponds, but if it were then an actual pond freezing
	1326	!OLI_CODE ! temperature could be computed.
	1327	!OLI_CODE
	1328	!OLI_CODE zTp = zTimelt - zTd
	1329	!OLI_CODE
	1330	!OLI_CODE !-----------------------------------------------------------------
	1331	!OLI_CODE ! Identify grid cells with ponds
	1332	!OLI_CODE !-----------------------------------------------------------------
	1333	!OLI_CODE
	1334	!OLI_CODE icells = 0
	1335	!OLI_CODE DO j = 1, jpj
	1336	!OLI_CODE DO i = 1, jpi
	1337	!OLI_CODE zhi = z0
[7325]	1338	!OLI_CODE IF (aice(i,j) > epsi10) zhi = vice(i,j)/aice(i,j)
[7293]	1339	!OLI_CODE IF ( aice(i,j) > z01 .and. zhi > zhicemin .and. &
	1340	!OLI_CODE zvolp(i,j) > zmin_volp*aice(i,j)) THEN
	1341	!OLI_CODE icells = icells + 1
	1342	!OLI_CODE indxi(icells) = i
	1343	!OLI_CODE indxj(icells) = j
	1344	!OLI_CODE ELSE ! remove ponds on thin ice
	1345	!OLI_CODE !fpond(i,j) = fpond(i,j) - zvolp(i,j)
	1346	!OLI_CODE zvolpn(i,j,:) = z0
	1347	!OLI_CODE zvuin (i,j,:) = z0
	1348	!OLI_CODE zvolp (i,j) = z0
	1349	!OLI_CODE END IF
	1350	!OLI_CODE END DO ! i
	1351	!OLI_CODE END DO ! j
	1352	!OLI_CODE
	1353	!OLI_CODE DO ij = 1, icells
	1354	!OLI_CODE i = indxi(ij)
	1355	!OLI_CODE j = indxj(ij)
	1356	!OLI_CODE
	1357	!OLI_CODE !--------------------------------------------------------------
	1358	!OLI_CODE ! calculate pond area and depth
	1359	!OLI_CODE !--------------------------------------------------------------
	1360	!OLI_CODE CALL pond_area(aice(i,j),vice(i,j),rhos(i,j,:), &
	1361	!OLI_CODE aicen(i,j,:), vicen(i,j,:), vsnon(i,j,:), &
	1362	!OLI_CODE ticen(i,j,:,:), salin(i,j,:,:), &
	1363	!OLI_CODE zvolpn(i,j,:), zvolp(i,j), &
	1364	!OLI_CODE zapondn(i,j,:),zhpondn(i,j,:), zdvn)
	1365	!OLI_CODE
	1366	!OLI_CODE fwoc(i,j) = fwoc(i,j) + zdvn ! -> Goes to fresh water budget
	1367	!OLI_CODE
	1368	!OLI_CODE ! mean surface temperature
	1369	!OLI_CODE zTavg = z0
	1370	!OLI_CODE DO n = 1, jpl
	1371	!OLI_CODE zTavg = zTavg + zTsfcn(i,j,n)*aicen(i,j,n)
	1372	!OLI_CODE END DO
	1373	!OLI_CODE zTavg = zTavg / aice(i,j)
	1374	!OLI_CODE
	1375	!OLI_CODE DO n = 1, jpl-1
	1376	!OLI_CODE
[7325]	1377	!OLI_CODE IF (zvuin(i,j,n) > epsi10) THEN
[7293]	1378	!OLI_CODE
	1379	!OLI_CODE !----------------------------------------------------------------
	1380	!OLI_CODE ! melting: floating upper ice layer melts in whole or part
	1381	!OLI_CODE !----------------------------------------------------------------
	1382	!OLI_CODE ! IF (zTsfcn(i,j,n) > zTp) THEN
	1383	!OLI_CODE IF (zTavg > zTp) THEN
	1384	!OLI_CODE
	1385	!OLI_CODE zdvice = min(meltt(i,j)*zapondn(i,j,n), zvuin(i,j,n))
[7325]	1386	!OLI_CODE IF (zdvice > epsi10) THEN
[7293]	1387	!OLI_CODE zvuin (i,j,n) = zvuin (i,j,n) - zdvice
	1388	!OLI_CODE zvolpn(i,j,n) = zvolpn(i,j,n) + zdvice
	1389	!OLI_CODE zvolp (i,j) = zvolp (i,j) + zdvice
	1390	!OLI_CODE !fwoc(i,j) = fwoc(i,j) + zdvice
	1391	!OLI_CODE
[7325]	1392	!OLI_CODE IF (zvuin(i,j,n) < epsi10 .and. zvolpn(i,j,n) > puny) THEN
[7293]	1393	!OLI_CODE ! ice lid melted and category is pond covered
	1394	!OLI_CODE zvolpn(i,j,n) = zvolpn(i,j,n) + zvuin(i,j,n)
	1395	!OLI_CODE !fwoc(i,j) = fwoc(i,j) + zvuin(i,j,n)
	1396	!OLI_CODE zvuin(i,j,n) = z0
	1397	!OLI_CODE END IF
	1398	!OLI_CODE zhpondn(i,j,n) = zvolpn(i,j,n) / zapondn(i,j,n)
	1399	!OLI_CODE END IF
	1400	!OLI_CODE
	1401	!OLI_CODE !----------------------------------------------------------------
	1402	!OLI_CODE ! freezing: existing upper ice layer grows
	1403	!OLI_CODE !----------------------------------------------------------------
[7325]	1404	!OLI_CODE ELSE IF (zvolpn(i,j,n) > epsi10) THEN ! zTavg <= zTp
[7293]	1405	!OLI_CODE
	1406	!OLI_CODE ! dIFferential growth of base of surface floating ice layer
	1407	!OLI_CODE zdTice = max(-zTavg, z0) ! > 0
	1408	!OLI_CODE zomega = rcdiczdTice zr1_rlfus
	1409	!OLI_CODE zdHui = sqrt(zomegardt_ice + z25(zvuin(i,j,n)/ &
	1410	!OLI_CODE aicen(i,j,n))*2)- z5 zvuin(i,j,n)/aicen(i,j,n)
	1411	!OLI_CODE
	1412	!OLI_CODE zdvice = min(zdHui*zapondn(i,j,n), zvolpn(i,j,n))
[7325]	1413	!OLI_CODE IF (zdvice > epsi10) THEN
[7293]	1414	!OLI_CODE zvuin (i,j,n) = zvuin (i,j,n) + zdvice
	1415	!OLI_CODE zvolpn(i,j,n) = zvolpn(i,j,n) - zdvice
	1416	!OLI_CODE zvolp (i,j) = zvolp (i,j) - zdvice
	1417	!OLI_CODE !fwoc(i,j) = fwoc(i,j) - zdvice
	1418	!OLI_CODE zhpondn(i,j,n) = zvolpn(i,j,n) / zapondn(i,j,n)
	1419	!OLI_CODE END IF
	1420	!OLI_CODE
	1421	!OLI_CODE END IF ! zTavg
	1422	!OLI_CODE
	1423	!OLI_CODE !----------------------------------------------------------------
	1424	!OLI_CODE ! freezing: upper ice layer begins to form
	1425	!OLI_CODE ! note: albedo does not change
	1426	!OLI_CODE !----------------------------------------------------------------
[7325]	1427	!OLI_CODE ELSE ! zvuin < epsi10
[7293]	1428	!OLI_CODE
	1429	!OLI_CODE ! thickness of newly formed ice
	1430	!OLI_CODE ! the surface temperature of a meltpond is the same as that
	1431	!OLI_CODE ! of the ice underneath (0C), and the thermodynamic surface
	1432	!OLI_CODE ! flux is the same
	1433	!OLI_CODE zdHui = max(-fsurf(i,j)rdt_icezr1_rlfus, z0)
	1434	!OLI_CODE zdvice = min(zdHui*zapondn(i,j,n), zvolpn(i,j,n))
[7325]	1435	!OLI_CODE IF (zdvice > epsi10) THEN
[7293]	1436	!OLI_CODE zvuin (i,j,n) = zdvice
	1437	!OLI_CODE zvolpn(i,j,n) = zvolpn(i,j,n) - zdvice
	1438	!OLI_CODE zvolp (i,j) = zvolp (i,j) - zdvice
	1439	!OLI_CODE !fwoc(i,j) = fwoc(i,j) - zdvice
	1440	!OLI_CODE zhpondn(i,j,n)= zvolpn(i,j,n) / zapondn(i,j,n)
	1441	!OLI_CODE END IF
	1442	!OLI_CODE
	1443	!OLI_CODE END IF ! zvuin
	1444	!OLI_CODE
	1445	!OLI_CODE END DO ! jpl
	1446	!OLI_CODE
	1447	!OLI_CODE END DO ! ij
	1448	!OLI_CODE
	1449	!OLI_CODE !---------------------------------------------------------------
	1450	!OLI_CODE ! remove ice lid if there is no liquid pond
	1451	!OLI_CODE ! zvuin may be nonzero on category jpl due to dynamics
	1452	!OLI_CODE !---------------------------------------------------------------
	1453	!OLI_CODE
	1454	!OLI_CODE DO j = 1, jpj
	1455	!OLI_CODE DO i = 1, jpi
	1456	!OLI_CODE DO n = 1, jpl
[7325]	1457	!OLI_CODE IF (aicen(i,j,n) > epsi10 .and. zvolpn(i,j,n) < puny &
	1458	!OLI_CODE .and. zvuin (i,j,n) > epsi10) THEN
[7293]	1459	!OLI_CODE kcells(n) = kcells(n) + 1
	1460	!OLI_CODE indxij = kcells(n)
	1461	!OLI_CODE indxii(indxij,n) = i
	1462	!OLI_CODE indxjj(indxij,n) = j
	1463	!OLI_CODE END IF
	1464	!OLI_CODE END DO
	1465	!OLI_CODE END DO ! i
	1466	!OLI_CODE END DO ! j
	1467	!OLI_CODE
	1468	!OLI_CODE DO n = 1, jpl
	1469	!OLI_CODE
	1470	!OLI_CODE IF (kcells(n) > 0) THEN
	1471	!OLI_CODE DO ij = 1, kcells(n)
	1472	!OLI_CODE i = indxii(ij,n)
	1473	!OLI_CODE j = indxjj(ij,n)
	1474	!OLI_CODE fwoc(i,j) = fwoc(i,j) + rhoic/rauw * zvuin(i,j,n) ! Completely refrozen lid goes into ocean (to be changed)
	1475	!OLI_CODE zvuin(i,j,n) = z0
	1476	!OLI_CODE END DO ! ij
	1477	!OLI_CODE END IF
	1478	!OLI_CODE
	1479	!OLI_CODE ! reload tracers
	1480	!OLI_CODE DO j = 1, jpj
	1481	!OLI_CODE DO i = 1, jpi
[7325]	1482	!OLI_CODE IF (zapondn(i,j,n) > epsi10) THEN
[7293]	1483	!OLI_CODE h_il(i,j,n) = zvuin(i,j,n) / zapondn(i,j,n)
	1484	!OLI_CODE ELSE
	1485	!OLI_CODE zvuin(i,j,n) = z0
	1486	!OLI_CODE h_il(i,j,n) = z0
	1487	!OLI_CODE END IF
[7325]	1488	!OLI_CODE IF (aicen(i,j,n) > epsi10) THEN
[7293]	1489	!OLI_CODE a_ip_frac(i,j,n) = zapondn(i,j,n) / aicen(i,j,n) * &
	1490	!OLI_CODE (1.0_wp - MAX(z0, SIGN(1.0_wp, -zvolpn(i,j,n))))
	1491	!OLI_CODE h_ip(i,j,n) = zhpondn(i,j,n)
	1492	!OLI_CODE ELSE
	1493	!OLI_CODE a_ip_frac(i,j,n) = z0
	1494	!OLI_CODE h_ip(i,j,n) = z0
	1495	!OLI_CODE h_il(i,j,n) = z0
	1496	!OLI_CODE END IF
	1497	!OLI_CODE END DO ! i
	1498	!OLI_CODE END DO ! j
	1499	!OLI_CODE
	1500	!OLI_CODE END DO ! n
	1501	!OLI_CODE
	1502	!OLI_CODE END SUBROUTINE compute_mp_topo
	1503	!OLI_CODE
	1504	!OLI_CODE
	1505	!OLI_CODE SUBROUTINE pond_area(aice,vice,rhos, &
	1506	!OLI_CODE aicen, vicen, vsnon, ticen, &
	1507	!OLI_CODE salin, zvolpn, zvolp, &
	1508	!OLI_CODE zapondn,zhpondn,dvolp)
	1509	!OLI_CODE !!-------------------------------------------------------------------
	1510	!OLI_CODE !! * ROUTINE pond_area *
	1511	!OLI_CODE !!
	1512	!OLI_CODE !! ** Purpose : Compute melt pond area, depth and melting rates
	1513	!OLI_CODE !!------------------------------------------------------------------
	1514	!OLI_CODE REAL (wp), INTENT(IN) :: &
	1515	!OLI_CODE aice,vice
	1516	!OLI_CODE
	1517	!OLI_CODE REAL (wp), DIMENSION(jpl), INTENT(IN) :: &
	1518	!OLI_CODE aicen, vicen, vsnon, rhos
	1519	!OLI_CODE
	1520	!OLI_CODE REAL (wp), DIMENSION(nlay_i,jpl), INTENT(IN) :: &
	1521	!OLI_CODE ticen, salin
	1522	!OLI_CODE
	1523	!OLI_CODE REAL (wp), DIMENSION(jpl), INTENT(INOUT) :: &
	1524	!OLI_CODE zvolpn
	1525	!OLI_CODE
	1526	!OLI_CODE REAL (wp), INTENT(INOUT) :: &
	1527	!OLI_CODE zvolp, dvolp
	1528	!OLI_CODE
	1529	!OLI_CODE REAL (wp), DIMENSION(jpl), INTENT(OUT) :: &
	1530	!OLI_CODE zapondn, zhpondn
	1531	!OLI_CODE
	1532	!OLI_CODE INTEGER :: &
	1533	!OLI_CODE n, ns, &
	1534	!OLI_CODE m_index, &
	1535	!OLI_CODE permflag
	1536	!OLI_CODE
	1537	!OLI_CODE REAL (wp), DIMENSION(jpl) :: &
	1538	!OLI_CODE hicen, &
	1539	!OLI_CODE hsnon, &
	1540	!OLI_CODE asnon, &
	1541	!OLI_CODE alfan, &
	1542	!OLI_CODE betan, &
	1543	!OLI_CODE cum_max_vol, &
	1544	!OLI_CODE reduced_aicen
	1545	!OLI_CODE
	1546	!OLI_CODE REAL (wp), DIMENSION(0:jpl) :: &
	1547	!OLI_CODE cum_max_vol_tmp
	1548	!OLI_CODE
	1549	!OLI_CODE REAL (wp) :: &
	1550	!OLI_CODE hpond, &
	1551	!OLI_CODE drain, &
	1552	!OLI_CODE floe_weight, &
	1553	!OLI_CODE pressure_head, &
	1554	!OLI_CODE hsl_rel, &
	1555	!OLI_CODE deltah, &
	1556	!OLI_CODE perm, &
	1557	!OLI_CODE apond, &
	1558	!OLI_CODE msno
	1559	!OLI_CODE
	1560	!OLI_CODE REAL (wp), parameter :: &
	1561	!OLI_CODE viscosity = 1.79e-3_wp, & ! kinematic water viscosity in kg/m/s
	1562	!OLI_CODE z0 = 0.0_wp , &
	1563	!OLI_CODE c1 = 1.0_wp , &
	1564	!OLI_CODE p4 = 0.4_wp , &
	1565	!OLI_CODE p6 = 0.6_wp , &
[7325]	1566	!OLI_CODE epsi10 = 1.0e-11_wp
[7293]	1567	!OLI_CODE
	1568	!OLI_CODE !-----------\|
	1569	!OLI_CODE ! \|
	1570	!OLI_CODE ! \|-----------\|
	1571	!OLI_CODE !___________\|___________\|______________________________________sea-level
	1572	!OLI_CODE ! \| \|
	1573	!OLI_CODE ! \| \|---^--------\|
	1574	!OLI_CODE ! \| \| \| \|
	1575	!OLI_CODE ! \| \| \| \|-----------\| \|-------
	1576	!OLI_CODE ! \| \| \|alfan(n)\| \| \|
	1577	!OLI_CODE ! \| \| \| \| \|--------------\|
	1578	!OLI_CODE ! \| \| \| \| \| \|
	1579	!OLI_CODE !---------------------------v-------------------------------------------
	1580	!OLI_CODE ! \| \| ^ \| \| \|
	1581	!OLI_CODE ! \| \| \| \| \|--------------\|
	1582	!OLI_CODE ! \| \| \|betan(n)\| \| \|
	1583	!OLI_CODE ! \| \| \| \|-----------\| \|-------
	1584	!OLI_CODE ! \| \| \| \|
	1585	!OLI_CODE ! \| \|---v------- \|
	1586	!OLI_CODE ! \| \|
	1587	!OLI_CODE ! \|-----------\|
	1588	!OLI_CODE ! \|
	1589	!OLI_CODE !-----------\|
	1590	!OLI_CODE
	1591	!OLI_CODE !-------------------------------------------------------------------
	1592	!OLI_CODE ! initialize
	1593	!OLI_CODE !-------------------------------------------------------------------
	1594	!OLI_CODE
	1595	!OLI_CODE DO n = 1, jpl
	1596	!OLI_CODE
	1597	!OLI_CODE zapondn(n) = z0
	1598	!OLI_CODE zhpondn(n) = z0
	1599	!OLI_CODE
[7325]	1600	!OLI_CODE IF (aicen(n) < epsi10) THEN
[7293]	1601	!OLI_CODE hicen(n) = z0
	1602	!OLI_CODE hsnon(n) = z0
	1603	!OLI_CODE reduced_aicen(n) = z0
	1604	!OLI_CODE ELSE
	1605	!OLI_CODE hicen(n) = vicen(n) / aicen(n)
	1606	!OLI_CODE hsnon(n) = vsnon(n) / aicen(n)
	1607	!OLI_CODE reduced_aicen(n) = c1 ! n=jpl
	1608	!OLI_CODE IF (n < jpl) reduced_aicen(n) = aicen(n) &
	1609	!OLI_CODE * (-0.024_wp*hicen(n) + 0.832_wp)
	1610	!OLI_CODE asnon(n) = reduced_aicen(n)
	1611	!OLI_CODE END IF
	1612	!OLI_CODE
	1613	!OLI_CODE ! This choice for alfa and beta ignores hydrostatic equilibium of categories.
	1614	!OLI_CODE ! Hydrostatic equilibium of the entire ITD is accounted for below, assuming
	1615	!OLI_CODE ! a surface topography implied by alfa=0.6 and beta=0.4, and rigidity across all
	1616	!OLI_CODE ! categories. alfa and beta partition the ITD - they are areas not thicknesses!
	1617	!OLI_CODE ! Multiplying by hicen, alfan and betan (below) are thus volumes per unit area.
	1618	!OLI_CODE ! Here, alfa = 60% of the ice area (and since hice is constant in a category,
	1619	!OLI_CODE ! alfan = 60% of the ice volume) in each category lies above the reference line,
	1620	!OLI_CODE ! and 40% below. Note: p6 is an arbitrary choice, but alfa+beta=1 is required.
	1621	!OLI_CODE
	1622	!OLI_CODE alfan(n) = p6 * hicen(n)
	1623	!OLI_CODE betan(n) = p4 * hicen(n)
	1624	!OLI_CODE
	1625	!OLI_CODE cum_max_vol(n) = z0
	1626	!OLI_CODE cum_max_vol_tmp(n) = z0
	1627	!OLI_CODE
	1628	!OLI_CODE END DO ! jpl
	1629	!OLI_CODE
	1630	!OLI_CODE cum_max_vol_tmp(0) = z0
	1631	!OLI_CODE drain = z0
	1632	!OLI_CODE dvolp = z0
	1633	!OLI_CODE
	1634	!OLI_CODE !--------------------------------------------------------------------------
	1635	!OLI_CODE ! the maximum amount of water that can be contained up to each ice category
	1636	!OLI_CODE !--------------------------------------------------------------------------
	1637	!OLI_CODE
	1638	!OLI_CODE DO n = 1, jpl-1 ! last category can not hold any volume
	1639	!OLI_CODE
	1640	!OLI_CODE IF (alfan(n+1) >= alfan(n) .and. alfan(n+1) > z0) THEN
	1641	!OLI_CODE
	1642	!OLI_CODE ! total volume in level including snow
	1643	!OLI_CODE cum_max_vol_tmp(n) = cum_max_vol_tmp(n-1) + &
	1644	!OLI_CODE (alfan(n+1) - alfan(n)) * sum(reduced_aicen(1:n))
	1645	!OLI_CODE
	1646	!OLI_CODE
	1647	!OLI_CODE ! subtract snow solid volumes from lower categories in current level
	1648	!OLI_CODE DO ns = 1, n
	1649	!OLI_CODE cum_max_vol_tmp(n) = cum_max_vol_tmp(n) &
	1650	!OLI_CODE - rhos(ns)/rauw * & ! fraction of snow that is occupied by solid ??rauw
	1651	!OLI_CODE asnon(ns) * & ! area of snow from that category
	1652	!OLI_CODE max(min(hsnon(ns)+alfan(ns)-alfan(n), alfan(n+1)- &
	1653	!OLI_CODE alfan(n)), z0)
	1654	!OLI_CODE ! thickness of snow from ns layer in n layer
	1655	!OLI_CODE END DO
	1656	!OLI_CODE
	1657	!OLI_CODE ELSE ! assume higher categories unoccupied
	1658	!OLI_CODE cum_max_vol_tmp(n) = cum_max_vol_tmp(n-1)
	1659	!OLI_CODE END IF
	1660	!OLI_CODE !IF (cum_max_vol_tmp(n) < z0) THEN
	1661	!OLI_CODE ! call abort_ice('negative melt pond volume')
	1662	!OLI_CODE !END IF
	1663	!OLI_CODE END DO
	1664	!OLI_CODE cum_max_vol_tmp(jpl) = cum_max_vol_tmp(jpl-1) ! last category holds no volume
	1665	!OLI_CODE cum_max_vol (1:jpl) = cum_max_vol_tmp(1:jpl)
	1666	!OLI_CODE
	1667	!OLI_CODE !----------------------------------------------------------------
	1668	!OLI_CODE ! is there more meltwater than can be held in the floe?
	1669	!OLI_CODE !----------------------------------------------------------------
	1670	!OLI_CODE IF (zvolp >= cum_max_vol(jpl)) THEN
[7325]	1671	!OLI_CODE drain = zvolp - cum_max_vol(jpl) + epsi10
[7293]	1672	!OLI_CODE zvolp = zvolp - drain
	1673	!OLI_CODE dvolp = drain
[7325]	1674	!OLI_CODE IF (zvolp < epsi10) THEN
[7293]	1675	!OLI_CODE dvolp = dvolp + zvolp
	1676	!OLI_CODE zvolp = z0
	1677	!OLI_CODE END IF
	1678	!OLI_CODE END IF
	1679	!OLI_CODE
	1680	!OLI_CODE ! height and area corresponding to the remaining volume
	1681	!OLI_CODE
	1682	!OLI_CODE call calc_hpond(reduced_aicen, asnon, hsnon, rhos, alfan, &
	1683	!OLI_CODE zvolp, cum_max_vol, hpond, m_index)
	1684	!OLI_CODE
	1685	!OLI_CODE DO n=1, m_index
	1686	!OLI_CODE zhpondn(n) = hpond - alfan(n) + alfan(1)
	1687	!OLI_CODE zapondn(n) = reduced_aicen(n)
	1688	!OLI_CODE END DO
	1689	!OLI_CODE apond = sum(zapondn(1:m_index))
	1690	!OLI_CODE
	1691	!OLI_CODE !------------------------------------------------------------------------
	1692	!OLI_CODE ! drainage due to ice permeability - Darcy's law
	1693	!OLI_CODE !------------------------------------------------------------------------
	1694	!OLI_CODE
	1695	!OLI_CODE ! sea water level
	1696	!OLI_CODE msno = z0
	1697	!OLI_CODE DO n=1,jpl
	1698	!OLI_CODE msno = msno + vsnon(n) * rhos(n)
	1699	!OLI_CODE END DO
	1700	!OLI_CODE floe_weight = (msno + rhoicvice + rau0zvolp) / aice
	1701	!OLI_CODE hsl_rel = floe_weight / rau0 &
	1702	!OLI_CODE - ((sum(betan(:)*aicen(:))/aice) + alfan(1))
	1703	!OLI_CODE
	1704	!OLI_CODE deltah = hpond - hsl_rel
	1705	!OLI_CODE pressure_head = grav * rau0 * max(deltah, z0)
	1706	!OLI_CODE
	1707	!OLI_CODE ! drain IF ice is permeable
	1708	!OLI_CODE permflag = 0
	1709	!OLI_CODE IF (pressure_head > z0) THEN
	1710	!OLI_CODE DO n = 1, jpl-1
	1711	!OLI_CODE IF (hicen(n) /= z0) THEN
	1712	!OLI_CODE CALL permeability_phi(ticen(:,n), salin(:,n), vicen(n), perm)
	1713	!OLI_CODE IF (perm > z0) permflag = 1
	1714	!OLI_CODE drain = permzapondn(n)pressure_head*rdt_ice / &
	1715	!OLI_CODE (viscosity*hicen(n))
	1716	!OLI_CODE dvolp = dvolp + min(drain, zvolp)
	1717	!OLI_CODE zvolp = max(zvolp - drain, z0)
[7325]	1718	!OLI_CODE IF (zvolp < epsi10) THEN
[7293]	1719	!OLI_CODE dvolp = dvolp + zvolp
	1720	!OLI_CODE zvolp = z0
	1721	!OLI_CODE END IF
	1722	!OLI_CODE END IF
	1723	!OLI_CODE END DO
	1724	!OLI_CODE
	1725	!OLI_CODE ! adjust melt pond DIMENSIONs
	1726	!OLI_CODE IF (permflag > 0) THEN
	1727	!OLI_CODE ! recompute pond depth
	1728	!OLI_CODE CALL calc_hpond(reduced_aicen, asnon, hsnon, rhos, alfan, &
	1729	!OLI_CODE zvolp, cum_max_vol, hpond, m_index)
	1730	!OLI_CODE DO n=1, m_index
	1731	!OLI_CODE zhpondn(n) = hpond - alfan(n) + alfan(1)
	1732	!OLI_CODE zapondn(n) = reduced_aicen(n)
	1733	!OLI_CODE END DO
	1734	!OLI_CODE apond = sum(zapondn(1:m_index))
	1735	!OLI_CODE END IF
	1736	!OLI_CODE END IF ! pressure_head
	1737	!OLI_CODE
	1738	!OLI_CODE !------------------------------------------------------------------------
	1739	!OLI_CODE ! total melt pond volume in category DOes not include snow volume
	1740	!OLI_CODE ! snow in melt ponds is not melted
	1741	!OLI_CODE !------------------------------------------------------------------------
	1742	!OLI_CODE
	1743	!OLI_CODE ! Calculate pond volume for lower categories
	1744	!OLI_CODE DO n=1,m_index-1
	1745	!OLI_CODE zvolpn(n) = zapondn(n) * zhpondn(n) &
	1746	!OLI_CODE - (rhos(n)/rauw) * asnon(n) * min(hsnon(n), zhpondn(n))!
	1747	!OLI_CODE END DO
	1748	!OLI_CODE
	1749	!OLI_CODE ! Calculate pond volume for highest category = remaining pond volume
	1750	!OLI_CODE IF (m_index == 1) zvolpn(m_index) = zvolp
	1751	!OLI_CODE IF (m_index > 1) THEN
	1752	!OLI_CODE IF (zvolp > sum(zvolpn(1:m_index-1))) THEN
	1753	!OLI_CODE zvolpn(m_index) = zvolp - sum(zvolpn(1:m_index-1))
	1754	!OLI_CODE ELSE
	1755	!OLI_CODE zvolpn(m_index) = z0
	1756	!OLI_CODE zhpondn(m_index) = z0
	1757	!OLI_CODE zapondn(m_index) = z0
	1758	!OLI_CODE ! If remaining pond volume is negative reduce pond volume of
	1759	!OLI_CODE ! lower category
[7325]	1760	!OLI_CODE IF (zvolp+epsi10 < sum(zvolpn(1:m_index-1))) &
[7293]	1761	!OLI_CODE zvolpn(m_index-1) = zvolpn(m_index-1)-sum(zvolpn(1:m_index-1))&
	1762	!OLI_CODE + zvolp
	1763	!OLI_CODE END IF
	1764	!OLI_CODE END IF
	1765	!OLI_CODE
	1766	!OLI_CODE DO n=1,m_index
[7325]	1767	!OLI_CODE IF (zapondn(n) > epsi10) THEN
[7293]	1768	!OLI_CODE zhpondn(n) = zvolpn(n) / zapondn(n)
	1769	!OLI_CODE ELSE
	1770	!OLI_CODE dvolp = dvolp + zvolpn(n)
	1771	!OLI_CODE zhpondn(n) = z0
	1772	!OLI_CODE zvolpn(n) = z0
	1773	!OLI_CODE zapondn(n) = z0
	1774	!OLI_CODE end IF
	1775	!OLI_CODE END DO
	1776	!OLI_CODE DO n = m_index+1, jpl
	1777	!OLI_CODE zhpondn(n) = z0
	1778	!OLI_CODE zapondn(n) = z0
	1779	!OLI_CODE zvolpn (n) = z0
	1780	!OLI_CODE END DO
	1781	!OLI_CODE
	1782	!OLI_CODE END SUBROUTINE pond_area
	1783	!OLI_CODE
	1784	!OLI_CODE
	1785	!OLI_CODE SUBROUTINE calc_hpond(aicen, asnon, hsnon, rhos, alfan, &
	1786	!OLI_CODE zvolp, cum_max_vol, &
	1787	!OLI_CODE hpond, m_index)
	1788	!OLI_CODE !!-------------------------------------------------------------------
	1789	!OLI_CODE !! * ROUTINE calc_hpond *
	1790	!OLI_CODE !!
	1791	!OLI_CODE !! ** Purpose : Compute melt pond depth
	1792	!OLI_CODE !!-------------------------------------------------------------------
	1793	!OLI_CODE
	1794	!OLI_CODE REAL (wp), DIMENSION(jpl), INTENT(IN) :: &
	1795	!OLI_CODE aicen, &
	1796	!OLI_CODE asnon, &
	1797	!OLI_CODE hsnon, &
	1798	!OLI_CODE rhos, &
	1799	!OLI_CODE alfan, &
	1800	!OLI_CODE cum_max_vol
	1801	!OLI_CODE
	1802	!OLI_CODE REAL (wp), INTENT(IN) :: &
	1803	!OLI_CODE zvolp
	1804	!OLI_CODE
	1805	!OLI_CODE REAL (wp), INTENT(OUT) :: &
	1806	!OLI_CODE hpond
	1807	!OLI_CODE
	1808	!OLI_CODE INTEGER, INTENT(OUT) :: &
	1809	!OLI_CODE m_index
	1810	!OLI_CODE
	1811	!OLI_CODE INTEGER :: n, ns
	1812	!OLI_CODE
	1813	!OLI_CODE REAL (wp), DIMENSION(0:jpl+1) :: &
	1814	!OLI_CODE hitl, &
	1815	!OLI_CODE aicetl
	1816	!OLI_CODE
	1817	!OLI_CODE REAL (wp) :: &
	1818	!OLI_CODE rem_vol, &
	1819	!OLI_CODE area, &
	1820	!OLI_CODE vol, &
	1821	!OLI_CODE tmp, &
	1822	!OLI_CODE z0 = 0.0_wp, &
[7325]	1823	!OLI_CODE epsi10 = 1.0e-11_wp
[7293]	1824	!OLI_CODE
	1825	!OLI_CODE !----------------------------------------------------------------
	1826	!OLI_CODE ! hpond is zero if zvolp is zero - have we fully drained?
	1827	!OLI_CODE !----------------------------------------------------------------
	1828	!OLI_CODE
[7325]	1829	!OLI_CODE IF (zvolp < epsi10) THEN
[7293]	1830	!OLI_CODE hpond = z0
	1831	!OLI_CODE m_index = 0
	1832	!OLI_CODE ELSE
	1833	!OLI_CODE
	1834	!OLI_CODE !----------------------------------------------------------------
	1835	!OLI_CODE ! Calculate the category where water fills up to
	1836	!OLI_CODE !----------------------------------------------------------------
	1837	!OLI_CODE
	1838	!OLI_CODE !----------\|
	1839	!OLI_CODE ! \|
	1840	!OLI_CODE ! \|
	1841	!OLI_CODE ! \|----------\| -- --
	1842	!OLI_CODE !__________\|__________\|_________________________________________ ^
	1843	!OLI_CODE ! \| \| rem_vol ^ \| Semi-filled
	1844	!OLI_CODE ! \| \|----------\|-- -- -- - ---\|-- ---- -- -- --v layer
	1845	!OLI_CODE ! \| \| \| \|
	1846	!OLI_CODE ! \| \| \| \|hpond
	1847	!OLI_CODE ! \| \| \|----------\| \| \|-------
	1848	!OLI_CODE ! \| \| \| \| \| \|
	1849	!OLI_CODE ! \| \| \| \|---v-----\|
	1850	!OLI_CODE ! \| \| m_index \| \| \|
	1851	!OLI_CODE !-------------------------------------------------------------
	1852	!OLI_CODE
	1853	!OLI_CODE m_index = 0 ! 1:m_index categories have water in them
	1854	!OLI_CODE DO n = 1, jpl
	1855	!OLI_CODE IF (zvolp <= cum_max_vol(n)) THEN
	1856	!OLI_CODE m_index = n
	1857	!OLI_CODE IF (n == 1) THEN
	1858	!OLI_CODE rem_vol = zvolp
	1859	!OLI_CODE ELSE
	1860	!OLI_CODE rem_vol = zvolp - cum_max_vol(n-1)
	1861	!OLI_CODE END IF
	1862	!OLI_CODE exit ! to break out of the loop
	1863	!OLI_CODE END IF
	1864	!OLI_CODE END DO
	1865	!OLI_CODE m_index = min(jpl-1, m_index)
	1866	!OLI_CODE
	1867	!OLI_CODE !----------------------------------------------------------------
	1868	!OLI_CODE ! semi-filled layer may have m_index different snow in it
	1869	!OLI_CODE !----------------------------------------------------------------
	1870	!OLI_CODE
	1871	!OLI_CODE !----------------------------------------------------------- ^
	1872	!OLI_CODE ! \| alfan(m_index+1)
	1873	!OLI_CODE ! \|
	1874	!OLI_CODE !hitl(3)--> \|----------\| \|
	1875	!OLI_CODE !hitl(2)--> \|------------\| * * * * *\| \|
	1876	!OLI_CODE !hitl(1)--> \|----------\|* * * * * * \|* * * * * \| \|
	1877	!OLI_CODE !hitl(0)-->------------------------------------------------- \| ^
	1878	!OLI_CODE ! various snow from lower categories \| \|alfa(m_index)
	1879	!OLI_CODE
	1880	!OLI_CODE ! hitl - heights of the snow layers from thinner and current categories
	1881	!OLI_CODE ! aicetl - area of each snow depth in this layer
	1882	!OLI_CODE
	1883	!OLI_CODE hitl(:) = z0
	1884	!OLI_CODE aicetl(:) = z0
	1885	!OLI_CODE DO n = 1, m_index
	1886	!OLI_CODE hitl(n) = max(min(hsnon(n) + alfan(n) - alfan(m_index), &
	1887	!OLI_CODE alfan(m_index+1) - alfan(m_index)), z0)
	1888	!OLI_CODE aicetl(n) = asnon(n)
	1889	!OLI_CODE
	1890	!OLI_CODE aicetl(0) = aicetl(0) + (aicen(n) - asnon(n))
	1891	!OLI_CODE END DO
	1892	!OLI_CODE hitl(m_index+1) = alfan(m_index+1) - alfan(m_index)
	1893	!OLI_CODE aicetl(m_index+1) = z0
	1894	!OLI_CODE
	1895	!OLI_CODE !----------------------------------------------------------------
	1896	!OLI_CODE ! reorder array according to hitl
	1897	!OLI_CODE ! snow heights not necessarily in height order
	1898	!OLI_CODE !----------------------------------------------------------------
	1899	!OLI_CODE
	1900	!OLI_CODE DO ns = 1, m_index+1
	1901	!OLI_CODE DO n = 0, m_index - ns + 1
	1902	!OLI_CODE IF (hitl(n) > hitl(n+1)) THEN ! swap order
	1903	!OLI_CODE tmp = hitl(n)
	1904	!OLI_CODE hitl(n) = hitl(n+1)
	1905	!OLI_CODE hitl(n+1) = tmp
	1906	!OLI_CODE tmp = aicetl(n)
	1907	!OLI_CODE aicetl(n) = aicetl(n+1)
	1908	!OLI_CODE aicetl(n+1) = tmp
	1909	!OLI_CODE END IF
	1910	!OLI_CODE END DO
	1911	!OLI_CODE END DO
	1912	!OLI_CODE
	1913	!OLI_CODE !----------------------------------------------------------------
	1914	!OLI_CODE ! divide semi-filled layer into set of sublayers each vertically homogenous
	1915	!OLI_CODE !----------------------------------------------------------------
	1916	!OLI_CODE
	1917	!OLI_CODE !hitl(3)----------------------------------------------------------------
	1918	!OLI_CODE ! \| * * * * * * * *
	1919	!OLI_CODE ! \|* * * * * * * * *
	1920	!OLI_CODE !hitl(2)----------------------------------------------------------------
	1921	!OLI_CODE ! \| * * * * * * * * \| * * * * * * * *
	1922	!OLI_CODE ! \|* * * * * * * * * \|* * * * * * * * *
	1923	!OLI_CODE !hitl(1)----------------------------------------------------------------
	1924	!OLI_CODE ! \| * * * * * * * * \| * * * * * * * * \| * * * * * * * *
	1925	!OLI_CODE ! \|* * * * * * * * * \|* * * * * * * * * \|* * * * * * * * *
	1926	!OLI_CODE !hitl(0)----------------------------------------------------------------
	1927	!OLI_CODE ! aicetl(0) aicetl(1) aicetl(2) aicetl(3)
	1928	!OLI_CODE
	1929	!OLI_CODE ! move up over layers incrementing volume
	1930	!OLI_CODE DO n = 1, m_index+1
	1931	!OLI_CODE
	1932	!OLI_CODE area = sum(aicetl(:)) - & ! total area of sub-layer
	1933	!OLI_CODE (rhos(n)/rau0) * sum(aicetl(n:jpl+1)) ! area of sub-layer occupied by snow
	1934	!OLI_CODE
	1935	!OLI_CODE vol = (hitl(n) - hitl(n-1)) * area ! thickness of sub-layer times area
	1936	!OLI_CODE
	1937	!OLI_CODE IF (vol >= rem_vol) THEN ! have reached the sub-layer with the depth within
	1938	!OLI_CODE hpond = rem_vol / area + hitl(n-1) + alfan(m_index) - &
	1939	!OLI_CODE alfan(1)
	1940	!OLI_CODE exit
	1941	!OLI_CODE ELSE ! still in sub-layer below the sub-layer with the depth
	1942	!OLI_CODE rem_vol = rem_vol - vol
	1943	!OLI_CODE END IF
	1944	!OLI_CODE
	1945	!OLI_CODE END DO
	1946	!OLI_CODE
	1947	!OLI_CODE END IF
	1948	!OLI_CODE
	1949	!OLI_CODE END SUBROUTINE calc_hpond
	1950	!OLI_CODE
	1951	!OLI_CODE
	1952	!OLI_CODE SUBROUTINE permeability_phi(ticen, salin, vicen, perm)
	1953	!OLI_CODE !!-------------------------------------------------------------------
	1954	!OLI_CODE !! * ROUTINE permeability_phi *
	1955	!OLI_CODE !!
	1956	!OLI_CODE !! ** Purpose : Determine the liquid fraction of brine in the ice
	1957	!OLI_CODE !! and its permeability
	1958	!OLI_CODE !!-------------------------------------------------------------------
	1959	!OLI_CODE REAL (wp), DIMENSION(nlay_i), INTENT(IN) :: &
	1960	!OLI_CODE ticen, & ! energy of melting for each ice layer (J/m2)
	1961	!OLI_CODE salin
	1962	!OLI_CODE
	1963	!OLI_CODE REAL (wp), INTENT(IN) :: &
	1964	!OLI_CODE vicen ! ice volume
	1965	!OLI_CODE
	1966	!OLI_CODE REAL (wp), INTENT(OUT) :: &
	1967	!OLI_CODE perm ! permeability
	1968	!OLI_CODE
	1969	!OLI_CODE REAL (wp) :: &
	1970	!OLI_CODE Sbr ! brine salinity
	1971	!OLI_CODE
	1972	!OLI_CODE REAL (wp), DIMENSION(nlay_i) :: &
	1973	!OLI_CODE Tin, & ! ice temperature
	1974	!OLI_CODE phi ! liquid fraction
	1975	!OLI_CODE
	1976	!OLI_CODE INTEGER :: k
	1977	!OLI_CODE
	1978	!OLI_CODE REAL (wp) :: &
	1979	!OLI_CODE c2 = 2.0_wp
	1980	!OLI_CODE
	1981	!OLI_CODE !-----------------------------------------------------------------
	1982	!OLI_CODE ! Compute ice temperatures from enthalpies using quadratic formula
	1983	!OLI_CODE !-----------------------------------------------------------------
	1984	!OLI_CODE
	1985	!OLI_CODE DO k = 1,nlay_i
	1986	!OLI_CODE Tin(k) = ticen(k)
	1987	!OLI_CODE END DO
	1988	!OLI_CODE
	1989	!OLI_CODE !-----------------------------------------------------------------
	1990	!OLI_CODE ! brine salinity and liquid fraction
	1991	!OLI_CODE !-----------------------------------------------------------------
	1992	!OLI_CODE
	1993	!OLI_CODE IF (maxval(Tin-rtt) <= -c2) THEN
	1994	!OLI_CODE
	1995	!OLI_CODE DO k = 1,nlay_i
	1996	!OLI_CODE Sbr = - 1.2_wp &
	1997	!OLI_CODE -21.8_wp * (Tin(k)-rtt) &
	1998	!OLI_CODE - 0.919_wp * (Tin(k)-rtt)**2 &
	1999	!OLI_CODE - 0.01878_wp * (Tin(k)-rtt)**3
	2000	!OLI_CODE phi(k) = salin(k)/Sbr ! liquid fraction
	2001	!OLI_CODE END DO ! k
	2002	!OLI_CODE
	2003	!OLI_CODE ELSE
	2004	!OLI_CODE
	2005	!OLI_CODE DO k = 1,nlay_i
	2006	!OLI_CODE Sbr = -17.6_wp * (Tin(k)-rtt) &
	2007	!OLI_CODE - 0.389_wp * (Tin(k)-rtt)**2 &
	2008	!OLI_CODE - 0.00362_wp* (Tin(k)-rtt)**3
	2009	!OLI_CODE phi(k) = salin(k)/Sbr ! liquid fraction
	2010	!OLI_CODE END DO
	2011	!OLI_CODE
	2012	!OLI_CODE END IF
	2013	!OLI_CODE
	2014	!OLI_CODE !-----------------------------------------------------------------
	2015	!OLI_CODE ! permeability
	2016	!OLI_CODE !-----------------------------------------------------------------
	2017	!OLI_CODE
	2018	!OLI_CODE perm = 3.0e-08_wp * (minval(phi))**3
	2019	!OLI_CODE
	2020	!OLI_CODE END SUBROUTINE permeability_phi
	2021	!OLI_CODE
	2022	!OLI_CODE #else
	2023	!OLI_CODE !!----------------------------------------------------------------------
	2024	!OLI_CODE !! Default option Dummy Module No LIM-3 sea-ice model
	2025	!OLI_CODE !!----------------------------------------------------------------------
	2026	!OLI_CODE CONTAINS
	2027	!OLI_CODE SUBROUTINE lim_mp_init ! Empty routine
	2028	!OLI_CODE END SUBROUTINE lim_mp_init
	2029	!OLI_CODE SUBROUTINE lim_mp ! Empty routine
	2030	!OLI_CODE END SUBROUTINE lim_mp
	2031	!OLI_CODE SUBROUTINE compute_mp_topo ! Empty routine
	2032	!OLI_CODE END SUBROUTINE compute_mp_topo
	2033	!OLI_CODE SUBROUTINE pond_area ! Empty routine
	2034	!OLI_CODE END SUBROUTINE pond_area
	2035	!OLI_CODE SUBROUTINE calc_hpond ! Empty routine
	2036	!OLI_CODE END SUBROUTINE calc_hpond
	2037	!OLI_CODE SUBROUTINE permeability_phy ! Empty routine
	2038	!OLI_CODE END SUBROUTINE permeability_phy
	2039	!OLI_CODE #endif
	2040	!OLI_CODE !!======================================================================
	2041	!OLI_CODE END MODULE limmp_topo
	2042	!OLI_CODE
[7325]	2043	#else
	2044	!!----------------------------------------------------------------------
	2045	!! Default option Empty module NO LIM sea-ice model
	2046	!!----------------------------------------------------------------------
	2047	CONTAINS
	2048	SUBROUTINE lim_mp_init ! Empty routine
	2049	END SUBROUTINE lim_mp_init
	2050	SUBROUTINE lim_mp ! Empty routine
	2051	END SUBROUTINE lim_mp
	2052	SUBROUTINE lim_mp_topo ! Empty routine
	2053	END SUBROUTINE lim_mp_topo
[8060]	2054	SUBROUTINE lim_mp_cesm ! Empty routine
	2055	END SUBROUTINE lim_mp_cesm
[7325]	2056	SUBROUTINE lim_mp_area ! Empty routine
	2057	END SUBROUTINE lim_mp_area
	2058	SUBROUTINE lim_mp_perm ! Empty routine
	2059	END SUBROUTINE lim_mp_perm
	2060	#endif
	2061
	2062	!!======================================================================
	2063	END MODULE limmp

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