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sbcblk.F90 in branches/2016/dev_r6711_SIMPLIF_6_aerobulk/NEMOGCM/NEMO/OPA_SRC/SBC – NEMO

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source: branches/2016/dev_r6711_SIMPLIF_6_aerobulk/NEMOGCM/NEMO/OPA_SRC/SBC/sbcblk.F90 @ 6727

Last change on this file since 6727 was 6727, checked in by gm, 8 years ago
#1751 - branch SIMPLIF_6_aerobulk: minor correction
File size: 51.3 KB

Line
1	MODULE sbcblk
2	!!======================================================================
3	!! * MODULE sbcblk *
4	!! Ocean forcing: momentum, heat and freshwater flux formulation
5	!! Aerodynamic Bulk Formulas
6	!! SUCCESSOR OF "sbcblk_core"
7	!!=====================================================================
8	!! History : 1.0 ! 2004-08 (U. Schweckendiek) Original code
9	!! 2.0 ! 2005-04 (L. Brodeau, A.M. Treguier) additions:
10	!! - new bulk routine for efficiency
11	!! - WINDS ARE NOW ASSUMED TO BE AT T POINTS in input files
12	!! - file names and file characteristics in namelist
13	!! - Implement reading of 6-hourly fields
14	!! 3.0 ! 2006-06 (G. Madec) sbc rewritting
15	!! - ! 2006-12 (L. Brodeau) Original code for turb_core
16	!! 3.2 ! 2009-04 (B. Lemaire) Introduce iom_put
17	!! 3.3 ! 2010-10 (S. Masson) add diurnal cycle
18	!! 3.4 ! 2011-11 (C. Harris) Fill arrays required by CICE
19	!! 3.7 ! 2014-06 (L. Brodeau) simplification and optimization of CORE bulk
20	!! 4.0 ! 2016-06 (L. Brodeau) sbcblk_core becomes sbcblk and is not restricted to the CORE algorithm anymore
21	!! ==> based on AeroBulk (http://aerobulk.sourceforge.net/)
22	!!----------------------------------------------------------------------
23
24	!!----------------------------------------------------------------------
25	!! sbc_blk : bulk formulation as ocean surface boundary condition (forced mode, CORE bulk formulea)
26	!! blk_oce : computes momentum, heat and freshwater fluxes over ocean
27	!! blk_ice : computes momentum, heat and freshwater fluxes over ice
28	!! rho_air : density of (moist) air (depends on T_air, q_air and SLP
29	!! cp_air : specific heat of (moist) air (depends spec. hum. q_air)
30	!! q_sat : saturation humidity as a function of SLP and temperature
31	!! L_vap : latent heat of vaporization of water as a function of temperature
32	!!----------------------------------------------------------------------
33	USE oce ! ocean dynamics and tracers
34	USE dom_oce ! ocean space and time domain
35	USE phycst ! physical constants
36	USE fldread ! read input fields
37	USE sbc_oce ! Surface boundary condition: ocean fields
38	USE cyclone ! Cyclone 10m wind form trac of cyclone centres
39	USE sbcdcy ! surface boundary condition: diurnal cycle
40	USE sbcwave , ONLY : cdn_wave ! wave module
41	USE sbc_ice ! Surface boundary condition: ice fields
42	USE lib_fortran ! to use key_nosignedzero
43	#if defined key_lim3
44	USE ice , ONLY : u_ice, v_ice, jpl, pfrld, a_i_b
45	USE limthd_dh ! for CALL lim_thd_snwblow
46	#elif defined key_lim2
47	USE ice_2 , ONLY : u_ice, v_ice
48	USE par_ice_2 ! LIM-2 parameters
49	#endif
50	USE sbcblk_algo_ncar ! => turb_ncar : NCAR - CORE (Large & Yeager, 2009)
51	USE sbcblk_algo_coare ! => turb_coare : COAREv3.0 (Fairall et al. 2003)
52	USE sbcblk_algo_coare3p5 ! => turb_coare3p5 : COAREv3.5 (Edson et al. 2013)
53	USE sbcblk_algo_ecmwf ! => turb_ecmwf : ECMWF (IFS cycle 31)
54	!
55	USE iom ! I/O manager library
56	USE in_out_manager ! I/O manager
57	USE lib_mpp ! distribued memory computing library
58	USE wrk_nemo ! work arrays
59	USE timing ! Timing
60	USE lbclnk ! ocean lateral boundary conditions (or mpp link)
61	USE prtctl ! Print control
62
63	IMPLICIT NONE
64	PRIVATE
65
66	PUBLIC sbc_blk ! routine called in sbcmod module
67	#if defined key_lim2 \|\| defined key_lim3
68	PUBLIC blk_ice_tau ! routine called in sbc_ice_lim module
69	PUBLIC blk_ice_flx ! routine called in sbc_ice_lim module
70	#endif
71
72	!!Lolo: should ultimately be moved in the module with all physical constants ?
73	!!gm : In principle, yes.
74	REAL(wp), PARAMETER :: Cp_dry = 1005.0 !: Specic heat of dry air, constant pressure [J/K/kg]
75	REAL(wp), PARAMETER :: Cp_vap = 1860.0 !: Specic heat of water vapor, constant pressure [J/K/kg]
76	REAL(wp), PARAMETER :: R_dry = 287.05_wp !: Specific gas constant for dry air [J/K/kg]
77	REAL(wp), PARAMETER :: R_vap = 461.495_wp !: Specific gas constant for water vapor [J/K/kg]
78	REAL(wp), PARAMETER :: reps0 = R_dry/R_vap !: ratio of gas constant for dry air and water vapor => ~ 0.622
79	REAL(wp), PARAMETER :: rctv0 = R_vap/R_dry !: for virtual temperature (== (1-eps)/eps) => ~ 0.608
80
81	INTEGER , PARAMETER :: jpfld =10 ! maximum number of files to read
82	INTEGER , PARAMETER :: jp_wndi = 1 ! index of 10m wind velocity (i-component) (m/s) at T-point
83	INTEGER , PARAMETER :: jp_wndj = 2 ! index of 10m wind velocity (j-component) (m/s) at T-point
84	INTEGER , PARAMETER :: jp_humi = 3 ! index of specific humidity ( % )
85	INTEGER , PARAMETER :: jp_qsr = 4 ! index of solar heat (W/m2)
86	INTEGER , PARAMETER :: jp_qlw = 5 ! index of Long wave (W/m2)
87	INTEGER , PARAMETER :: jp_tair = 6 ! index of 10m air temperature (Kelvin)
88	INTEGER , PARAMETER :: jp_prec = 7 ! index of total precipitation (rain+snow) (Kg/m2/s)
89	INTEGER , PARAMETER :: jp_snow = 8 ! index of snow (solid prcipitation) (kg/m2/s)
90	INTEGER , PARAMETER :: jp_slp = 9 ! index of snow (solid prcipitation) (kg/m2/s)
91	INTEGER , PARAMETER :: jp_tdif =10 ! index of tau diff associated to HF tau (N/m2) at T-point
92
93	TYPE(FLD), ALLOCATABLE, DIMENSION(:) :: sf ! structure of input fields (file informations, fields read)
94
95	! !!! Bulk parameters
96	REAL(wp), PARAMETER :: cpa = 1000.5 ! specific heat of air (only used for ice fluxes now...)
97	REAL(wp), PARAMETER :: Ls = 2.839e6 ! latent heat of sublimation
98	REAL(wp), PARAMETER :: Stef = 5.67e-8 ! Stefan Boltzmann constant
99	REAL(wp), PARAMETER :: Cice = 1.4e-3 ! iovi 1.63e-3 ! transfer coefficient over ice
100	REAL(wp), PARAMETER :: albo = 0.066 ! ocean albedo assumed to be constant
101	!
102	! !!* Namelist namsbc_blk : bulk parameters
103	LOGICAL :: ln_NCAR ! "NCAR" algorithm (Large and Yeager 2008)
104	LOGICAL :: ln_COARE_3p0 ! "COARE 3.0" algorithm (Fairall et al. 2003)
105	LOGICAL :: ln_COARE_3p5 ! "COARE 3.5" algorithm (Edson et al. 2013)
106	LOGICAL :: ln_ECMWF ! "ECMWF" algorithm (IFS cycle 31)
107	!
108	LOGICAL :: ln_taudif ! logical flag to use the "mean of stress module - module of mean stress" data
109	REAL(wp) :: rn_pfac ! multiplication factor for precipitation
110	REAL(wp) :: rn_efac ! multiplication factor for evaporation (clem)
111	REAL(wp) :: rn_vfac ! multiplication factor for ice/ocean velocity in the calculation of wind stress (clem)
112	REAL(wp) :: rn_zqt ! z(q,t) : height of humidity and temperature measurements
113	REAL(wp) :: rn_zu ! z(u) : height of wind measurements
114
115	INTEGER :: nblk ! choice of the bulk algorithm
116	! ! associated indices:
117	INTEGER, PARAMETER :: np_NCAR = 1 ! "NCAR" algorithm (Large and Yeager 2008)
118	INTEGER, PARAMETER :: np_COARE_3p0 = 2 ! "COARE 3.0" algorithm (Fairall et al. 2003)
119	INTEGER, PARAMETER :: np_COARE_3p5 = 3 ! "COARE 3.5" algorithm (Edson et al. 2013)
120	INTEGER, PARAMETER :: np_ECMWF = 4 ! "ECMWF" algorithm (IFS cycle 31)
121
122	!! * Substitutions
123	# include "vectopt_loop_substitute.h90"
124	!!----------------------------------------------------------------------
125	!! NEMO/OPA 3.7 , NEMO-consortium (2014)
126	!! $Id: sbcblk.F90 6416 2016-04-01 12:22:17Z clem $
127	!! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt)
128	!!----------------------------------------------------------------------
129	CONTAINS
130
131	SUBROUTINE sbc_blk( kt )
132	!!---------------------------------------------------------------------
133	!! * ROUTINE sbc_blk *
134	!!
135	!! ** Purpose : provide at each time step the surface ocean fluxes
136	!! (momentum, heat, freshwater and runoff)
137	!!
138	!! ** Method : (1) READ each fluxes in NetCDF files:
139	!! the 10m wind velocity (i-component) (m/s) at T-point
140	!! the 10m wind velocity (j-component) (m/s) at T-point
141	!! the 10m or 2m specific humidity ( % )
142	!! the solar heat (W/m2)
143	!! the Long wave (W/m2)
144	!! the 10m or 2m air temperature (Kelvin)
145	!! the total precipitation (rain+snow) (Kg/m2/s)
146	!! the snow (solid prcipitation) (kg/m2/s)
147	!! the tau diff associated to HF tau (N/m2) at T-point (ln_taudif=T)
148	!! (2) CALL blk_oce
149	!!
150	!! C A U T I O N : never mask the surface stress fields
151	!! the stress is assumed to be in the (i,j) mesh referential
152	!!
153	!! ** Action : defined at each time-step at the air-sea interface
154	!! - utau, vtau i- and j-component of the wind stress
155	!! - taum wind stress module at T-point
156	!! - wndm wind speed module at T-point over free ocean or leads in presence of sea-ice
157	!! - qns, qsr non-solar and solar heat fluxes
158	!! - emp upward mass flux (evapo. - precip.)
159	!! - sfx salt flux due to freezing/melting (non-zero only if ice is present)
160	!! (set in limsbc(_2).F90)
161	!!
162	!! ** References : Large & Yeager, 2004 / Large & Yeager, 2008
163	!! Brodeau et al. Ocean Modelling 2010
164	!!----------------------------------------------------------------------
165	INTEGER, INTENT(in) :: kt ! ocean time step
166	!
167	INTEGER :: ifpr, jfld ! dummy loop indice and argument
168	INTEGER :: ios, ierror, ioptio ! Local integer
169	!
170	CHARACTER(len=100) :: cn_dir ! Root directory for location of atmospheric forcing files
171	TYPE(FLD_N), DIMENSION(jpfld) :: slf_i ! array of namelist informations on the fields to read
172	TYPE(FLD_N) :: sn_wndi, sn_wndj, sn_humi, sn_qsr ! informations about the fields to be read
173	TYPE(FLD_N) :: sn_qlw , sn_tair, sn_prec, sn_snow ! " "
174	TYPE(FLD_N) :: sn_slp , sn_tdif ! " "
175	NAMELIST/namsbc_blk/ sn_wndi, sn_wndj, sn_humi, sn_qsr, sn_qlw , & ! input fields
176	& sn_tair, sn_prec, sn_snow, sn_slp, sn_tdif, &
177	& ln_NCAR, ln_COARE_3p0, ln_COARE_3p5, ln_ECMWF, & ! bulk algorithm
178	& cn_dir , ln_taudif, rn_zqt, rn_zu, rn_pfac, rn_efac, rn_vfac
179	!!---------------------------------------------------------------------
180	!
181	! ! ====================== !
182	IF( kt == nit000 ) THEN ! First call kt=nit000 !
183	! ! ====================== !
184	!
185	REWIND( numnam_ref ) ! Namelist namsbc_blk in reference namelist : bulk parameters
186	READ ( numnam_ref, namsbc_blk, IOSTAT = ios, ERR = 901)
187	901 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namsbc_blk in reference namelist', lwp )
188	!
189	REWIND( numnam_cfg ) ! Namelist namsbc_blk in configuration namelist : bulk parameters
190	READ ( numnam_cfg, namsbc_blk, IOSTAT = ios, ERR = 902 )
191	902 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namsbc_blk in configuration namelist', lwp )
192	!
193	IF(lwm) WRITE( numond, namsbc_blk )
194	!
195	! ! Control of surface pressure gradient scheme options
196	; ioptio = 0
197	IF( ln_NCAR ) THEN ; nblk = np_NCAR ; ioptio = ioptio + 1 ; ENDIF
198	IF( ln_COARE_3p0 ) THEN ; nblk = np_COARE_3p0 ; ioptio = ioptio + 1 ; ENDIF
199	IF( ln_COARE_3p5 ) THEN ; nblk = np_COARE_3p5 ; ioptio = ioptio + 1 ; ENDIF
200	IF( ln_ECMWF ) THEN ; nblk = np_ECMWF ; ioptio = ioptio + 1 ; ENDIF
201	!
202	IF( ioptio /= 1 ) CALL ctl_stop( 'sbc_blk: Choose one and only one bulk algorithm' )
203	!
204	! ! check: do we plan to use ln_dm2dc with non-daily forcing?
205	IF( ln_dm2dc .AND. sn_qsr%nfreqh /= 24 ) &
206	& CALL ctl_stop( 'sbc_blk: ln_dm2dc can be activated only with daily short-wave forcing' )
207	IF( ln_dm2dc .AND. sn_qsr%ln_tint ) THEN
208	CALL ctl_warn( 'sbc_blk: ln_dm2dc is taking care of the temporal interpolation of daily qsr', &
209	& ' ==> We force time interpolation = .false. for qsr' )
210	sn_qsr%ln_tint = .false.
211	ENDIF
212	! ! store namelist information in an array
213	slf_i(jp_wndi) = sn_wndi ; slf_i(jp_wndj) = sn_wndj
214	slf_i(jp_qsr ) = sn_qsr ; slf_i(jp_qlw ) = sn_qlw
215	slf_i(jp_tair) = sn_tair ; slf_i(jp_humi) = sn_humi
216	slf_i(jp_prec) = sn_prec ; slf_i(jp_snow) = sn_snow
217	slf_i(jp_slp) = sn_slp ; slf_i(jp_tdif) = sn_tdif
218	!
219	lhftau = ln_taudif ! do we use HF tau information?
220	jfld = jpfld - COUNT( (/.NOT. lhftau/) )
221	!
222	ALLOCATE( sf(jfld), STAT=ierror ) ! set sf structure
223	IF( ierror > 0 ) CALL ctl_stop( 'STOP', 'sbc_blk: unable to allocate sf structure' )
224	DO ifpr= 1, jfld
225	ALLOCATE( sf(ifpr)%fnow(jpi,jpj,1) )
226	IF( slf_i(ifpr)%ln_tint ) ALLOCATE( sf(ifpr)%fdta(jpi,jpj,1,2) )
227	END DO
228	! ! fill sf with slf_i and control print
229	CALL fld_fill( sf, slf_i, cn_dir, 'sbc_blk', 'surface boundary condition -- bulk formula', 'namsbc_blk' )
230	!
231	IF(lwp) THEN ! Control print (other namelist variable)
232	WRITE(numout,*)
233	WRITE(numout,*) ' "NCAR" algorithm (Large and Yeager 2008) ln_NCAR = ', ln_NCAR
234	WRITE(numout,*) ' "COARE 3.0" algorithm (Fairall et al. 2003) ln_COARE_3p0 = ', ln_COARE_3p0
235	WRITE(numout,*) ' "COARE 3.5" algorithm (Edson et al. 2013) ln_COARE_3p5 = ', ln_COARE_3p0
236	WRITE(numout,*) ' "ECMWF" algorithm (IFS cycle 31) ln_ECMWF = ', ln_ECMWF
237	WRITE(numout,*) ' add High freq.contribution to the stress module ln_taudif = ', ln_taudif
238	WRITE(numout,*) ' Air temperature and humidity reference height (m) rn_zqt = ', rn_zqt
239	WRITE(numout,*) ' Wind vector reference height (m) rn_zu = ', rn_zu
240	WRITE(numout,*) ' factor applied on precipitation (total & snow) rn_pfac = ', rn_pfac
241	WRITE(numout,*) ' factor applied on evaporation rn_efac = ', rn_efac
242	WRITE(numout,*) ' factor applied on ocean/ice velocity rn_vfac = ', rn_vfac
243	WRITE(numout,*) ' (form absolute (=0) to relative winds(=1))'
244	ENDIF
245	!
246	sfx(:,:) = 0._wp ! salt flux; zero unless ice is present (computed in limsbc(_2).F90)
247	!
248	IF(lwp) THEN ! Print the choice of bulk algorithm
249	WRITE(numout,*)
250	SELECT CASE ( nblk )
251	CASE( np_NCAR ) ; WRITE(numout,*) ' "NCAR" algorithm (Large and Yeager 2008)'
252	CASE( np_COARE_3p0 ) ; WRITE(numout,*) ' "COARE 3.0" algorithm (Fairall et al. 2003)'
253	CASE( np_COARE_3p5 ) ; WRITE(numout,*) ' "COARE 3.5" algorithm (Edson et al. 2013)'
254	CASE( np_ECMWF ) ; WRITE(numout,*) ' "ECMWF" algorithm (IFS cycle 31)'
255	END SELECT
256	WRITE(numout,*)
257	ENDIF
258	ENDIF
259
260	CALL fld_read( kt, nn_fsbc, sf ) ! input fields provided at the current time-step
261
262	! ! compute the surface ocean fluxes using bulk formulea
263	IF( MOD( kt - 1, nn_fsbc ) == 0 ) CALL blk_oce( kt, sf, sst_m, ssu_m, ssv_m )
264
265	#if defined key_cice
266	IF( MOD( kt - 1, nn_fsbc ) == 0 ) THEN
267	qlw_ice(:,:,1) = sf(jp_qlw)%fnow(:,:,1)
268	qsr_ice(:,:,1) = sf(jp_qsr)%fnow(:,:,1)
269	tatm_ice(:,:) = sf(jp_tair)%fnow(:,:,1)
270	qatm_ice(:,:) = sf(jp_humi)%fnow(:,:,1)
271	tprecip(:,:) = sf(jp_prec)%fnow(:,:,1) * rn_pfac
272	sprecip(:,:) = sf(jp_snow)%fnow(:,:,1) * rn_pfac
273	wndi_ice(:,:) = sf(jp_wndi)%fnow(:,:,1)
274	wndj_ice(:,:) = sf(jp_wndj)%fnow(:,:,1)
275	ENDIF
276	#endif
277	!
278	END SUBROUTINE sbc_blk
279
280
281	SUBROUTINE blk_oce( kt, sf, pst, pu, pv )
282	!!---------------------------------------------------------------------
283	!! * ROUTINE blk_oce *
284	!!
285	!! ** Purpose : provide the momentum, heat and freshwater fluxes at
286	!! the ocean surface at each time step
287	!!
288	!! ** Method : bulk formulea for the ocean using atmospheric
289	!! fields read in sbc_read
290	!!
291	!! ** Outputs : - utau : i-component of the stress at U-point (N/m2)
292	!! - vtau : j-component of the stress at V-point (N/m2)
293	!! - taum : Wind stress module at T-point (N/m2)
294	!! - wndm : Wind speed module at T-point (m/s)
295	!! - qsr : Solar heat flux over the ocean (W/m2)
296	!! - qns : Non Solar heat flux over the ocean (W/m2)
297	!! - emp : evaporation minus precipitation (kg/m2/s)
298	!!
299	!! ** Nota : sf has to be a dummy argument for AGRIF on NEC
300	!!---------------------------------------------------------------------
301	INTEGER , INTENT(in ) :: kt ! time step index
302	TYPE(fld), INTENT(inout), DIMENSION(:) :: sf ! input data
303	REAL(wp) , INTENT(in) , DIMENSION(:,:) :: pst ! surface temperature [Celcius]
304	REAL(wp) , INTENT(in) , DIMENSION(:,:) :: pu ! surface current at U-point (i-component) [m/s]
305	REAL(wp) , INTENT(in) , DIMENSION(:,:) :: pv ! surface current at V-point (j-component) [m/s]
306	!
307	INTEGER :: ji, jj ! dummy loop indices
308	REAL(wp) :: zztmp ! local variable
309	REAL(wp), DIMENSION(:,:), POINTER :: zwnd_i, zwnd_j ! wind speed components at T-point
310	REAL(wp), DIMENSION(:,:), POINTER :: zsq ! specific humidity at pst
311	REAL(wp), DIMENSION(:,:), POINTER :: zqlw, zqsb ! long wave and sensible heat fluxes
312	REAL(wp), DIMENSION(:,:), POINTER :: zqla, zevap ! latent heat fluxes and evaporation
313	REAL(wp), DIMENSION(:,:), POINTER :: Cd ! transfer coefficient for momentum (tau)
314	REAL(wp), DIMENSION(:,:), POINTER :: Ch ! transfer coefficient for sensible heat (Q_sens)
315	REAL(wp), DIMENSION(:,:), POINTER :: Ce ! tansfert coefficient for evaporation (Q_lat)
316	REAL(wp), DIMENSION(:,:), POINTER :: zst ! surface temperature in Kelvin
317	REAL(wp), DIMENSION(:,:), POINTER :: zt_zu ! air temperature at wind speed height
318	REAL(wp), DIMENSION(:,:), POINTER :: zq_zu ! air spec. hum. at wind speed height
319	REAL(wp), DIMENSION(:,:), POINTER :: zU_zu ! bulk wind speed at height zu [m/s]
320	REAL(wp), DIMENSION(:,:), POINTER :: ztpot ! potential temperature of air at z=rn_zqt [K]
321	REAL(wp), DIMENSION(:,:), POINTER :: zrhoa ! density of air [kg/m^3]
322	!!---------------------------------------------------------------------
323	!
324	IF( nn_timing == 1 ) CALL timing_start('blk_oce')
325	!
326	CALL wrk_alloc( jpi,jpj, zwnd_i, zwnd_j, zsq, zqlw, zqsb, zqla, zevap )
327	CALL wrk_alloc( jpi,jpj, Cd, Ch, Ce, zst, zt_zu, zq_zu )
328	CALL wrk_alloc( jpi,jpj, zU_zu, ztpot, zrhoa )
329	!
330
331	! local scalars ( place there for vector optimisation purposes)
332	zst(:,:) = pst(:,:) + rt0 ! convert SST from Celcius to Kelvin (and set minimum value far above 0 K)
333
334	! ----------------------------------------------------------------------------- !
335	! 0 Wind components and module at T-point relative to the moving ocean !
336	! ----------------------------------------------------------------------------- !
337
338	! ... components ( U10m - U_oce ) at T-point (unmasked)
339	!!gm move zwnd_i (_j) set to zero inside the key_cyclone ???
340	zwnd_i(:,:) = 0._wp
341	zwnd_j(:,:) = 0._wp
342	#if defined key_cyclone
343	CALL wnd_cyc( kt, zwnd_i, zwnd_j ) ! add analytical tropical cyclone (Vincent et al. JGR 2012)
344	DO jj = 2, jpjm1
345	DO ji = fs_2, fs_jpim1 ! vect. opt.
346	sf(jp_wndi)%fnow(ji,jj,1) = sf(jp_wndi)%fnow(ji,jj,1) + zwnd_i(ji,jj)
347	sf(jp_wndj)%fnow(ji,jj,1) = sf(jp_wndj)%fnow(ji,jj,1) + zwnd_j(ji,jj)
348	END DO
349	END DO
350	#endif
351	DO jj = 2, jpjm1
352	DO ji = fs_2, fs_jpim1 ! vect. opt.
353	zwnd_i(ji,jj) = ( sf(jp_wndi)%fnow(ji,jj,1) - rn_vfac * 0.5 * ( pu(ji-1,jj ) + pu(ji,jj) ) )
354	zwnd_j(ji,jj) = ( sf(jp_wndj)%fnow(ji,jj,1) - rn_vfac * 0.5 * ( pv(ji ,jj-1) + pv(ji,jj) ) )
355	END DO
356	END DO
357	CALL lbc_lnk( zwnd_i(:,:) , 'T', -1. )
358	CALL lbc_lnk( zwnd_j(:,:) , 'T', -1. )
359	! ... scalar wind ( = \| U10m - U_oce \| ) at T-point (masked)
360	wndm(:,:) = SQRT( zwnd_i(:,:) * zwnd_i(:,:) &
361	& + zwnd_j(:,:) * zwnd_j(:,:) ) * tmask(:,:,1)
362
363	! ----------------------------------------------------------------------------- !
364	! I Radiative FLUXES !
365	! ----------------------------------------------------------------------------- !
366
367	! ocean albedo assumed to be constant + modify now Qsr to include the diurnal cycle ! Short Wave
368	zztmp = 1. - albo
369	IF( ln_dm2dc ) THEN ; qsr(:,:) = zztmp * sbc_dcy( sf(jp_qsr)%fnow(:,:,1) ) * tmask(:,:,1)
370	ELSE ; qsr(:,:) = zztmp * sf(jp_qsr)%fnow(:,:,1) * tmask(:,:,1)
371	ENDIF
372
373	zqlw(:,:) = ( sf(jp_qlw)%fnow(:,:,1) - Stef * zst(:,:)zst(:,:)zst(:,:)zst(:,:) ) tmask(:,:,1) ! Long Wave
374
375
376
377	! ----------------------------------------------------------------------------- !
378	! II Turbulent FLUXES !
379	! ----------------------------------------------------------------------------- !
380
381	! ... specific humidity at SST and IST tmask(
382	zsq(:,:) = 0.98 * q_sat( zst(:,:), sf(jp_slp)%fnow(:,:,1) )
383	!!
384	!! Estimate of potential temperature at z=rn_zqt, based on adiabatic lapse-rate
385	!! (see Josey, Gulev & Yu, 2013) / doi=10.1016/B978-0-12-391851-2.00005-2
386	!! (since reanalysis products provide T at z, not theta !)
387	ztpot = sf(jp_tair)%fnow(:,:,1) + gamma_moist( sf(jp_tair)%fnow(:,:,1), sf(jp_humi)%fnow(:,:,1) ) * rn_zqt
388
389	SELECT CASE( nblk ) !== transfer coefficients ==! Cd, Ch, Ce at T-point
390	!
391	CASE( np_NCAR ) ; CALL turb_ncar ( rn_zqt, rn_zu, zst, ztpot, zsq, sf(jp_humi)%fnow, wndm, & ! NCAR-COREv2
392	& Cd, Ch, Ce, zt_zu, zq_zu, zU_zu )
393	CASE( np_COARE_3p0 ) ; CALL turb_coare ( rn_zqt, rn_zu, zst, ztpot, zsq, sf(jp_humi)%fnow, wndm, & ! COARE v3.0
394	& Cd, Ch, Ce, zt_zu, zq_zu, zU_zu )
395	CASE( np_COARE_3p5 ) ; CALL turb_coare3p5( rn_zqt, rn_zu, zst, ztpot, zsq, sf(jp_humi)%fnow, wndm, & ! COARE v3.5
396	& Cd, Ch, Ce, zt_zu, zq_zu, zU_zu )
397	CASE( np_ECMWF ) ; CALL turb_ecmwf ( rn_zqt, rn_zu, zst, ztpot, zsq, sf(jp_humi)%fnow, wndm, & ! ECMWF
398	& Cd, Ch, Ce, zt_zu, zq_zu, zU_zu )
399	CASE DEFAULT
400	CALL ctl_stop( 'STOP', 'sbc_blk: non-existing bulk formula selected' )
401	END SELECT
402
403	! ! Compute true air density :
404	IF( ABS(rn_zu - rn_zqt) > 0.01 ) THEN ! At zu: (probably useless to remove zrhogravrn_zu from SLP...)
405	zrhoa(:,:) = rho_air( zt_zu(:,:) , zq_zu(:,:) , sf(jp_slp)%fnow(:,:,1) )
406	ELSE ! At zt:
407	zrhoa(:,:) = rho_air( sf(jp_tair)%fnow(:,:,1), sf(jp_humi)%fnow(:,:,1), sf(jp_slp)%fnow(:,:,1) )
408	END IF
409
410	DO jj = 1, jpj ! tau module, i and j component
411	DO ji = 1, jpi
412	zztmp = zrhoa(ji,jj) * zU_zu(ji,jj) * Cd(ji,jj) ! using bulk wind speed
413	taum (ji,jj) = zztmp * wndm (ji,jj)
414	zwnd_i(ji,jj) = zztmp * zwnd_i(ji,jj)
415	zwnd_j(ji,jj) = zztmp * zwnd_j(ji,jj)
416	END DO
417	END DO
418
419	! ! add the HF tau contribution to the wind stress module
420	IF( lhftau ) taum(:,:) = taum(:,:) + sf(jp_tdif)%fnow(:,:,1)
421
422	CALL iom_put( "taum_oce", taum ) ! output wind stress module
423
424	! ... utau, vtau at U- and V_points, resp.
425	! Note the use of 0.5*(2-umask) in order to unmask the stress along coastlines
426	! Note the use of MAX(tmask(i,j),tmask(i+1,j) is to mask tau over ice shelves
427	DO jj = 1, jpjm1
428	DO ji = 1, fs_jpim1
429	utau(ji,jj) = 0.5 * ( 2. - umask(ji,jj,1) ) * ( zwnd_i(ji,jj) + zwnd_i(ji+1,jj ) ) &
430	& * MAX(tmask(ji,jj,1),tmask(ji+1,jj,1))
431	vtau(ji,jj) = 0.5 * ( 2. - vmask(ji,jj,1) ) * ( zwnd_j(ji,jj) + zwnd_j(ji ,jj+1) ) &
432	& * MAX(tmask(ji,jj,1),tmask(ji,jj+1,1))
433	END DO
434	END DO
435	CALL lbc_lnk( utau(:,:), 'U', -1. )
436	CALL lbc_lnk( vtau(:,:), 'V', -1. )
437
438
439	! Turbulent fluxes over ocean
440	! -----------------------------
441
442	! zqla used as temporary array, for rho*U (common term of bulk formulae):
443	zqla(:,:) = zrhoa(:,:) * zU_zu(:,:)
444
445	IF( ABS( rn_zu - rn_zqt) < 0.01_wp ) THEN
446	!! q_air and t_air are given at 10m (wind reference height)
447	zevap(:,:) = rn_efacMAX( 0._wp, zqla(:,:)Ce(:,:)*(zsq(:,:) - sf(jp_humi)%fnow(:,:,1)) ) ! Evaporation, using bulk wind speed
448	zqsb (:,:) = cp_air(sf(jp_humi)%fnow(:,:,1))zqla(:,:)Ch(:,:)*(zst(:,:) - ztpot(:,:) ) ! Sensible Heat, using bulk wind speed
449	ELSE
450	!! q_air and t_air are not given at 10m (wind reference height)
451	! Values of temp. and hum. adjusted to height of wind during bulk algorithm iteration must be used!!!
452	zevap(:,:) = rn_efacMAX( 0._wp, zqla(:,:)Ce(:,:)*(zsq(:,:) - zq_zu(:,:) ) ) ! Evaporation ! using bulk wind speed
453	zqsb (:,:) = cp_air(sf(jp_humi)%fnow(:,:,1))zqla(:,:)Ch(:,:)*(zst(:,:) - zt_zu(:,:) ) ! Sensible Heat ! using bulk wind speed
454	ENDIF
455
456	zqla(:,:) = L_vap(zst(:,:)) * zevap(:,:) ! Latent Heat flux
457
458
459	IF(ln_ctl) THEN
460	CALL prt_ctl( tab2d_1=zqla , clinfo1=' blk_oce: zqla : ', tab2d_2=Ce , clinfo2=' Ce : ' )
461	CALL prt_ctl( tab2d_1=zqsb , clinfo1=' blk_oce: zqsb : ', tab2d_2=Ch , clinfo2=' Ch : ' )
462	CALL prt_ctl( tab2d_1=zqlw , clinfo1=' blk_oce: zqlw : ', tab2d_2=qsr, clinfo2=' qsr : ' )
463	CALL prt_ctl( tab2d_1=zsq , clinfo1=' blk_oce: zsq : ', tab2d_2=zst, clinfo2=' zst : ' )
464	CALL prt_ctl( tab2d_1=utau , clinfo1=' blk_oce: utau : ', mask1=umask, &
465	& tab2d_2=vtau , clinfo2= ' vtau : ', mask2=vmask )
466	CALL prt_ctl( tab2d_1=wndm , clinfo1=' blk_oce: wndm : ')
467	CALL prt_ctl( tab2d_1=zst , clinfo1=' blk_oce: zst : ')
468	ENDIF
469
470	! ----------------------------------------------------------------------------- !
471	! III Total FLUXES !
472	! ----------------------------------------------------------------------------- !
473	!
474	emp (:,:) = ( zevap(:,:) & ! mass flux (evap. - precip.)
475	& - sf(jp_prec)%fnow(:,:,1) * rn_pfac ) * tmask(:,:,1)
476	!
477	qns(:,:) = zqlw(:,:) - zqsb(:,:) - zqla(:,:) & ! Downward Non Solar
478	& - sf(jp_snow)%fnow(:,:,1) * rn_pfac * lfus & ! remove latent melting heat for solid precip
479	& - zevap(:,:) * pst(:,:) * rcp & ! remove evap heat content at SST
480	& + ( sf(jp_prec)%fnow(:,:,1) - sf(jp_snow)%fnow(:,:,1) ) * rn_pfac & ! add liquid precip heat content at Tair
481	& * ( sf(jp_tair)%fnow(:,:,1) - rt0 ) * rcp &
482	& + sf(jp_snow)%fnow(:,:,1) * rn_pfac & ! add solid precip heat content at min(Tair,Tsnow)
483	& * ( MIN( sf(jp_tair)%fnow(:,:,1), rt0_snow ) - rt0 ) * cpic * tmask(:,:,1)
484	!
485	#if defined key_lim3
486	qns_oce(:,:) = zqlw(:,:) - zqsb(:,:) - zqla(:,:) ! non solar without emp (only needed by LIM3)
487	qsr_oce(:,:) = qsr(:,:)
488	#endif
489	!
490	IF ( nn_ice == 0 ) THEN
491	CALL iom_put( "qlw_oce" , zqlw ) ! output downward longwave heat over the ocean
492	CALL iom_put( "qsb_oce" , - zqsb ) ! output downward sensible heat over the ocean
493	CALL iom_put( "qla_oce" , - zqla ) ! output downward latent heat over the ocean
494	CALL iom_put( "qemp_oce", qns-zqlw+zqsb+zqla ) ! output downward heat content of E-P over the ocean
495	CALL iom_put( "qns_oce" , qns ) ! output downward non solar heat over the ocean
496	CALL iom_put( "qsr_oce" , qsr ) ! output downward solar heat over the ocean
497	CALL iom_put( "qt_oce" , qns+qsr ) ! output total downward heat over the ocean
498	tprecip(:,:) = sf(jp_prec)%fnow(:,:,1) * rn_pfac ! output total precipitation [kg/m2/s]
499	sprecip(:,:) = sf(jp_snow)%fnow(:,:,1) * rn_pfac ! output solid precipitation [kg/m2/s]
500	CALL iom_put( 'snowpre', sprecip * 86400. ) ! Snow
501	CALL iom_put( 'precip' , tprecip * 86400. ) ! Total precipitation
502	ENDIF
503	!
504	IF(ln_ctl) THEN
505	CALL prt_ctl(tab2d_1=zqsb , clinfo1=' blk_oce: zqsb : ', tab2d_2=zqlw , clinfo2=' zqlw : ')
506	CALL prt_ctl(tab2d_1=zqla , clinfo1=' blk_oce: zqla : ', tab2d_2=qsr , clinfo2=' qsr : ')
507	CALL prt_ctl(tab2d_1=pst , clinfo1=' blk_oce: pst : ', tab2d_2=emp , clinfo2=' emp : ')
508	CALL prt_ctl(tab2d_1=utau , clinfo1=' blk_oce: utau : ', mask1=umask, &
509	& tab2d_2=vtau , clinfo2= ' vtau : ' , mask2=vmask )
510	ENDIF
511	!
512	CALL wrk_dealloc( jpi,jpj, zwnd_i, zwnd_j, zsq, zqlw, zqsb, zqla, zevap )
513	CALL wrk_dealloc( jpi,jpj, Cd, Ch, Ce, zst, zt_zu, zq_zu )
514	CALL wrk_dealloc( jpi,jpj, zU_zu, ztpot, zrhoa )
515	!
516	IF( nn_timing == 1 ) CALL timing_stop('blk_oce')
517	!
518	END SUBROUTINE blk_oce
519
520	#if defined key_lim2 \|\| defined key_lim3
521
522	SUBROUTINE blk_ice_tau
523	!!---------------------------------------------------------------------
524	!! * ROUTINE blk_ice_tau *
525	!!
526	!! ** Purpose : provide the surface boundary condition over sea-ice
527	!!
528	!! ** Method : compute momentum using bulk formulation
529	!! formulea, ice variables and read atmospheric fields.
530	!! NB: ice drag coefficient is assumed to be a constant
531	!!---------------------------------------------------------------------
532	INTEGER :: ji, jj ! dummy loop indices
533	!
534	REAL(wp), DIMENSION(:,:) , POINTER :: zcoef_wnorm
535	!
536	REAL(wp) :: zwnorm_f, zwndi_f , zwndj_f ! relative wind module and components at F-point
537	REAL(wp) :: zwndi_t , zwndj_t ! relative wind components at T-point
538	!!---------------------------------------------------------------------
539	!
540	IF( nn_timing == 1 ) CALL timing_start('blk_ice_tau')
541	!
542	CALL wrk_alloc( jpi,jpj, zcoef_wnorm )
543
544	! local scalars ( place there for vector optimisation purposes)
545	! Computing density of air! Way denser that 1.2 over sea-ice !!!
546	!!
547	zcoef_wnorm (:,:) = rho_air(sf(jp_tair)%fnow(:,:,1), sf(jp_humi)%fnow(:,:,1), sf(jp_slp)%fnow(:,:,1))
548	zcoef_wnorm (:,:) = Cice * zcoef_wnorm (:,:)
549
550	!!gm brutal....
551	utau_ice (:,:) = 0._wp
552	vtau_ice (:,:) = 0._wp
553	wndm_ice (:,:) = 0._wp
554	!!gm end
555
556	! ----------------------------------------------------------------------------- !
557	! Wind components and module relative to the moving ocean ( U10m - U_ice ) !
558	! ----------------------------------------------------------------------------- !
559	SELECT CASE( cp_ice_msh )
560	CASE( 'I' ) ! B-grid ice dynamics : I-point (i.e. F-point with sea-ice indexation)
561	! and scalar wind at T-point ( = \| U10m - U_ice \| ) (masked)
562	DO jj = 2, jpjm1
563	DO ji = 2, jpim1 ! B grid : NO vector opt
564	! ... scalar wind at I-point (fld being at T-point)
565	zwndi_f = 0.25 * ( sf(jp_wndi)%fnow(ji-1,jj ,1) + sf(jp_wndi)%fnow(ji ,jj ,1) &
566	& + sf(jp_wndi)%fnow(ji-1,jj-1,1) + sf(jp_wndi)%fnow(ji ,jj-1,1) ) - rn_vfac * u_ice(ji,jj)
567	zwndj_f = 0.25 * ( sf(jp_wndj)%fnow(ji-1,jj ,1) + sf(jp_wndj)%fnow(ji ,jj ,1) &
568	& + sf(jp_wndj)%fnow(ji-1,jj-1,1) + sf(jp_wndj)%fnow(ji ,jj-1,1) ) - rn_vfac * v_ice(ji,jj)
569	zwnorm_f = zcoef_wnorm(ji,jj) * SQRT( zwndi_f * zwndi_f + zwndj_f * zwndj_f )
570	! ... ice stress at I-point
571	utau_ice(ji,jj) = zwnorm_f * zwndi_f
572	vtau_ice(ji,jj) = zwnorm_f * zwndj_f
573	! ... scalar wind at T-point (fld being at T-point)
574	zwndi_t = sf(jp_wndi)%fnow(ji,jj,1) - rn_vfac * 0.25 * ( u_ice(ji,jj+1) + u_ice(ji+1,jj+1) &
575	& + u_ice(ji,jj ) + u_ice(ji+1,jj ) )
576	zwndj_t = sf(jp_wndj)%fnow(ji,jj,1) - rn_vfac * 0.25 * ( v_ice(ji,jj+1) + v_ice(ji+1,jj+1) &
577	& + v_ice(ji,jj ) + v_ice(ji+1,jj ) )
578	wndm_ice(ji,jj) = SQRT( zwndi_t * zwndi_t + zwndj_t * zwndj_t ) * tmask(ji,jj,1)
579	END DO
580	END DO
581	CALL lbc_lnk( utau_ice, 'I', -1. )
582	CALL lbc_lnk( vtau_ice, 'I', -1. )
583	CALL lbc_lnk( wndm_ice, 'T', 1. )
584	!
585	CASE( 'C' ) ! C-grid ice dynamics : U & V-points (same as ocean)
586	DO jj = 2, jpj
587	DO ji = fs_2, jpi ! vect. opt.
588	zwndi_t = ( sf(jp_wndi)%fnow(ji,jj,1) - rn_vfac * 0.5 * ( u_ice(ji-1,jj ) + u_ice(ji,jj) ) )
589	zwndj_t = ( sf(jp_wndj)%fnow(ji,jj,1) - rn_vfac * 0.5 * ( v_ice(ji ,jj-1) + v_ice(ji,jj) ) )
590	wndm_ice(ji,jj) = SQRT( zwndi_t * zwndi_t + zwndj_t * zwndj_t ) * tmask(ji,jj,1)
591	END DO
592	END DO
593	DO jj = 2, jpjm1
594	DO ji = fs_2, fs_jpim1 ! vect. opt.
595	utau_ice(ji,jj) = 0.5zcoef_wnorm(ji,jj) ( wndm_ice(ji+1,jj ) + wndm_ice(ji,jj) ) &
596	& * ( 0.5 * (sf(jp_wndi)%fnow(ji+1,jj,1) + sf(jp_wndi)%fnow(ji,jj,1) ) - rn_vfac * u_ice(ji,jj) )
597	vtau_ice(ji,jj) = 0.5zcoef_wnorm(ji,jj) ( wndm_ice(ji,jj+1 ) + wndm_ice(ji,jj) ) &
598	& * ( 0.5 * (sf(jp_wndj)%fnow(ji,jj+1,1) + sf(jp_wndj)%fnow(ji,jj,1) ) - rn_vfac * v_ice(ji,jj) )
599	END DO
600	END DO
601	CALL lbc_lnk( utau_ice, 'U', -1. )
602	CALL lbc_lnk( vtau_ice, 'V', -1. )
603	CALL lbc_lnk( wndm_ice, 'T', 1. )
604	!
605	END SELECT
606
607	IF(ln_ctl) THEN
608	CALL prt_ctl(tab2d_1=utau_ice , clinfo1=' blk_ice: utau_ice : ', tab2d_2=vtau_ice , clinfo2=' vtau_ice : ')
609	CALL prt_ctl(tab2d_1=wndm_ice , clinfo1=' blk_ice: wndm_ice : ')
610	ENDIF
611
612	CALL wrk_dealloc( jpi,jpj, zcoef_wnorm )
613
614	IF( nn_timing == 1 ) CALL timing_stop('blk_ice_tau')
615
616	END SUBROUTINE blk_ice_tau
617
618
619	SUBROUTINE blk_ice_flx( ptsu, palb )
620	!!---------------------------------------------------------------------
621	!! * ROUTINE blk_ice_flx *
622	!!
623	!! ** Purpose : provide the surface boundary condition over sea-ice
624	!!
625	!! ** Method : compute heat and freshwater exchanged
626	!! between atmosphere and sea-ice using bulk formulation
627	!! formulea, ice variables and read atmmospheric fields.
628	!!
629	!! caution : the net upward water flux has with mm/day unit
630	!!---------------------------------------------------------------------
631	REAL(wp), DIMENSION(:,:,:), INTENT(in) :: ptsu ! sea ice surface temperature
632	REAL(wp), DIMENSION(:,:,:), INTENT(in) :: palb ! ice albedo (all skies)
633	!!
634	INTEGER :: ji, jj, jl ! dummy loop indices
635	REAL(wp) :: zst2, zst3 ! local variable
636	REAL(wp) :: zcoef_dqlw, zcoef_dqla ! - -
637	REAL(wp) :: zztmp, z1_lsub ! - -
638	REAL(wp), DIMENSION(:,:,:), POINTER :: z_qlw ! long wave heat flux over ice
639	REAL(wp), DIMENSION(:,:,:), POINTER :: z_qsb ! sensible heat flux over ice
640	REAL(wp), DIMENSION(:,:,:), POINTER :: z_dqlw ! long wave heat sensitivity over ice
641	REAL(wp), DIMENSION(:,:,:), POINTER :: z_dqsb ! sensible heat sensitivity over ice
642	REAL(wp), DIMENSION(:,:) , POINTER :: zevap, zsnw ! evaporation and snw distribution after wind blowing (LIM3)
643	REAL(wp), DIMENSION(:,:) , POINTER :: zrhoa
644	!!---------------------------------------------------------------------
645	!
646	IF( nn_timing == 1 ) CALL timing_start('blk_ice_flx')
647	!
648	CALL wrk_alloc( jpi,jpj,jpl, z_qlw, z_qsb, z_dqlw, z_dqsb )
649	CALL wrk_alloc( jpi,jpj, zrhoa)
650	!
651	! local scalars ( place there for vector optimisation purposes)
652	zcoef_dqlw = 4.0 * 0.95 * Stef
653	zcoef_dqla = -Ls * Cice * 11637800. * (-5897.8)
654	!
655	zrhoa(:,:) = rho_air( sf(jp_tair)%fnow(:,:,1), sf(jp_humi)%fnow(:,:,1), sf(jp_slp)%fnow(:,:,1) )
656	!
657	zztmp = 1. / ( 1. - albo )
658	! ! ========================== !
659	DO jl = 1, jpl ! Loop over ice categories !
660	! ! ========================== !
661	DO jj = 1 , jpj
662	DO ji = 1, jpi
663	! ----------------------------!
664	! I Radiative FLUXES !
665	! ----------------------------!
666	zst2 = ptsu(ji,jj,jl) * ptsu(ji,jj,jl)
667	zst3 = ptsu(ji,jj,jl) * zst2
668	! Short Wave (sw)
669	qsr_ice(ji,jj,jl) = zztmp * ( 1. - palb(ji,jj,jl) ) * qsr(ji,jj)
670	! Long Wave (lw)
671	z_qlw(ji,jj,jl) = 0.95 * ( sf(jp_qlw)%fnow(ji,jj,1) - Stef * ptsu(ji,jj,jl) * zst3 ) * tmask(ji,jj,1)
672	! lw sensitivity
673	z_dqlw(ji,jj,jl) = zcoef_dqlw * zst3
674
675	! ----------------------------!
676	! II Turbulent FLUXES !
677	! ----------------------------!
678
679	! ... turbulent heat fluxes
680	! Sensible Heat
681	z_qsb(ji,jj,jl) = zrhoa(ji,jj) * cpa * Cice * wndm_ice(ji,jj) * ( ptsu(ji,jj,jl) - sf(jp_tair)%fnow(ji,jj,1) )
682	! Latent Heat
683	qla_ice(ji,jj,jl) = rn_efac * MAX( 0.e0, zrhoa(ji,jj) * Ls * Cice * wndm_ice(ji,jj) &
684	& * ( 11637800. * EXP( -5897.8 / ptsu(ji,jj,jl) ) / zrhoa(ji,jj) - sf(jp_humi)%fnow(ji,jj,1) ) )
685	! Latent heat sensitivity for ice (Dqla/Dt)
686	IF( qla_ice(ji,jj,jl) > 0._wp ) THEN
687	dqla_ice(ji,jj,jl) = rn_efac * zcoef_dqla * wndm_ice(ji,jj) / ( zst2 ) * EXP( -5897.8 / ptsu(ji,jj,jl) )
688	ELSE
689	dqla_ice(ji,jj,jl) = 0._wp
690	ENDIF
691
692	! Sensible heat sensitivity (Dqsb_ice/Dtn_ice)
693	z_dqsb(ji,jj,jl) = zrhoa(ji,jj)cpaCice * wndm_ice(ji,jj)
694
695	! ----------------------------!
696	! III Total FLUXES !
697	! ----------------------------!
698	! Downward Non Solar flux
699	qns_ice (ji,jj,jl) = z_qlw (ji,jj,jl) - z_qsb (ji,jj,jl) - qla_ice (ji,jj,jl)
700	! Total non solar heat flux sensitivity for ice
701	dqns_ice(ji,jj,jl) = - ( z_dqlw(ji,jj,jl) + z_dqsb(ji,jj,jl) + dqla_ice(ji,jj,jl) )
702	END DO
703	!
704	END DO
705	!
706	END DO
707	!
708	tprecip(:,:) = sf(jp_prec)%fnow(:,:,1) * rn_pfac ! total precipitation [kg/m2/s]
709	sprecip(:,:) = sf(jp_snow)%fnow(:,:,1) * rn_pfac ! solid precipitation [kg/m2/s]
710	CALL iom_put( 'snowpre', sprecip * 86400. ) ! Snow precipitation
711	CALL iom_put( 'precip' , tprecip * 86400. ) ! Total precipitation
712
713	#if defined key_lim3
714	CALL wrk_alloc( jpi,jpj, zevap, zsnw )
715
716	! --- evaporation --- !
717	z1_lsub = 1._wp / Lsub
718	evap_ice (:,:,:) = rn_efac * qla_ice (:,:,:) * z1_lsub ! sublimation
719	devap_ice(:,:,:) = rn_efac * dqla_ice(:,:,:) * z1_lsub ! d(sublimation)/dT
720	zevap (:,:) = rn_efac * ( emp(:,:) + tprecip(:,:) ) ! evaporation over ocean
721
722	! --- evaporation minus precipitation --- !
723	zsnw(:,:) = 0._wp
724	CALL lim_thd_snwblow( pfrld, zsnw ) ! snow distribution over ice after wind blowing
725	emp_oce(:,:) = pfrld(:,:) * zevap(:,:) - ( tprecip(:,:) - sprecip(:,:) ) - sprecip(:,:) * (1._wp - zsnw )
726	emp_ice(:,:) = SUM( a_i_b(:,:,:) * evap_ice(:,:,:), dim=3 ) - sprecip(:,:) * zsnw
727	emp_tot(:,:) = emp_oce(:,:) + emp_ice(:,:)
728
729	! --- heat flux associated with emp --- !
730	qemp_oce(:,:) = - pfrld(:,:) * zevap(:,:) * sst_m(:,:) * rcp & ! evap at sst
731	& + ( tprecip(:,:) - sprecip(:,:) ) * ( sf(jp_tair)%fnow(:,:,1) - rt0 ) * rcp & ! liquid precip at Tair
732	& + sprecip(:,:) * ( 1._wp - zsnw ) * & ! solid precip at min(Tair,Tsnow)
733	& ( ( MIN( sf(jp_tair)%fnow(:,:,1), rt0_snow ) - rt0 ) * cpic * tmask(:,:,1) - lfus )
734	qemp_ice(:,:) = sprecip(:,:) * zsnw * & ! solid precip (only)
735	& ( ( MIN( sf(jp_tair)%fnow(:,:,1), rt0_snow ) - rt0 ) * cpic * tmask(:,:,1) - lfus )
736
737	! --- total solar and non solar fluxes --- !
738	qns_tot(:,:) = pfrld(:,:) * qns_oce(:,:) + SUM( a_i_b(:,:,:) * qns_ice(:,:,:), dim=3 ) + qemp_ice(:,:) + qemp_oce(:,:)
739	qsr_tot(:,:) = pfrld(:,:) * qsr_oce(:,:) + SUM( a_i_b(:,:,:) * qsr_ice(:,:,:), dim=3 )
740
741	! --- heat content of precip over ice in J/m3 (to be used in 1D-thermo) --- !
742	qprec_ice(:,:) = rhosn * ( ( MIN( sf(jp_tair)%fnow(:,:,1), rt0_snow ) - rt0 ) * cpic * tmask(:,:,1) - lfus )
743
744	CALL wrk_dealloc( jpi,jpj, zevap, zsnw )
745	#endif
746
747	!--------------------------------------------------------------------
748	! FRACTIONs of net shortwave radiation which is not absorbed in the
749	! thin surface layer and penetrates inside the ice cover
750	! ( Maykut and Untersteiner, 1971 ; Ebert and Curry, 1993 )
751	!
752	fr1_i0(:,:) = ( 0.18 * ( 1.0 - cldf_ice ) + 0.35 * cldf_ice )
753	fr2_i0(:,:) = ( 0.82 * ( 1.0 - cldf_ice ) + 0.65 * cldf_ice )
754	!
755	!
756	IF(ln_ctl) THEN
757	CALL prt_ctl(tab3d_1=qla_ice , clinfo1=' blk_ice: qla_ice : ', tab3d_2=z_qsb , clinfo2=' z_qsb : ', kdim=jpl)
758	CALL prt_ctl(tab3d_1=z_qlw , clinfo1=' blk_ice: z_qlw : ', tab3d_2=dqla_ice, clinfo2=' dqla_ice : ', kdim=jpl)
759	CALL prt_ctl(tab3d_1=z_dqsb , clinfo1=' blk_ice: z_dqsb : ', tab3d_2=z_dqlw , clinfo2=' z_dqlw : ', kdim=jpl)
760	CALL prt_ctl(tab3d_1=dqns_ice, clinfo1=' blk_ice: dqns_ice : ', tab3d_2=qsr_ice , clinfo2=' qsr_ice : ', kdim=jpl)
761	CALL prt_ctl(tab3d_1=ptsu , clinfo1=' blk_ice: ptsu : ', tab3d_2=qns_ice , clinfo2=' qns_ice : ', kdim=jpl)
762	CALL prt_ctl(tab2d_1=tprecip , clinfo1=' blk_ice: tprecip : ', tab2d_2=sprecip , clinfo2=' sprecip : ')
763	ENDIF
764
765	CALL wrk_dealloc( jpi,jpj,jpl, z_qlw, z_qsb, z_dqlw, z_dqsb )
766	CALL wrk_dealloc( jpi,jpj, zrhoa )
767	!
768	IF( nn_timing == 1 ) CALL timing_stop('blk_ice_flx')
769
770	END SUBROUTINE blk_ice_flx
771
772	#endif
773
774	FUNCTION rho_air( ptak, pqa, pslp )
775	!!-------------------------------------------------------------------------------
776	!! * FUNCTION rho_air *
777	!!
778	!! ** Purpose : compute density of (moist) air using the eq. of state of the atmosphere
779	!!
780	!! ** Author: L. Brodeau, june 2016 / AeroBulk (https://sourceforge.net/p/aerobulk)
781	!!-------------------------------------------------------------------------------
782	REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: ptak ! air temperature [K]
783	REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: pqa ! air specific humidity [kg/kg]
784	REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: pslp ! pressure in [Pa]
785	REAL(wp), DIMENSION(jpi,jpj) :: rho_air ! density of moist air [kg/m^3]
786	!!-------------------------------------------------------------------------------
787	!
788	rho_air = pslp / ( R_dryptak ( 1._wp + rctv0*pqa ) )
789	!
790	END FUNCTION rho_air
791
792
793	FUNCTION cp_air( pqa )
794	!!-------------------------------------------------------------------------------
795	!! * FUNCTION cp_air *
796	!!
797	!! ** Purpose : Compute specific heat (Cp) of moist air
798	!!
799	!! ** Author: L. Brodeau, june 2016 / AeroBulk (https://sourceforge.net/p/aerobulk)
800	!!-------------------------------------------------------------------------------
801	REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: pqa ! air specific humidity [kg/kg]
802	REAL(wp), DIMENSION(jpi,jpj) :: cp_air ! specific heat of moist air [J/K/kg]
803	!!-------------------------------------------------------------------------------
804	!
805	Cp_air = Cp_dry + Cp_vap * pqa
806	!
807	END FUNCTION cp_air
808
809
810	FUNCTION q_sat( ptak, pslp )
811	!!----------------------------------------------------------------------------------
812	!! * FUNCTION q_sat *
813	!!
814	!! ** Purpose : Specific humidity at saturation in [kg/kg]
815	!! Based on accurate estimate of "e_sat"
816	!! aka saturation water vapor (Goff, 1957)
817	!!
818	!! ** Author: L. Brodeau, june 2016 / AeroBulk (https://sourceforge.net/p/aerobulk)
819	!!----------------------------------------------------------------------------------
820	REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: ptak ! air temperature [K]
821	REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: pslp ! sea level atmospheric pressure [Pa]
822	REAL(wp), DIMENSION(jpi,jpj) :: q_sat ! Specific humidity at saturation [kg/kg]
823	!
824	INTEGER :: ji, jj ! dummy loop indices
825	REAL(wp) :: ze_sat, ztmp ! local scalar
826	!!----------------------------------------------------------------------------------
827	!
828	DO jj = 1, jpj
829	DO ji = 1, jpi
830	!
831	ztmp = rt0 / ptak(ji,jj)
832	!
833	! Vapour pressure at saturation [hPa] : WMO, (Goff, 1957)
834	ze_sat = 10.*( 10.79574(1. - ztmp) - 5.028*LOG10(ptak(ji,jj)/rt0) &
835	& + 1.5047510.(-4)(1. - 10.*(-8.2969(ptak(ji,jj)/rt0 - 1.)) ) &
836	& + 0.4287310.(-3)(10.*(4.76955(1. - ztmp)) - 1.) + 0.78614 )
837	!
838	q_sat(ji,jj) = reps0 * ze_sat/( 0.01_wppslp(ji,jj) - (1._wp - reps0)ze_sat ) ! 0.01 because SLP is in [Pa]
839	!
840	END DO
841	END DO
842	!
843	END FUNCTION q_sat
844
845
846	FUNCTION gamma_moist( ptak, pqa )
847	!!----------------------------------------------------------------------------------
848	!! * FUNCTION gamma_moist *
849	!!
850	!! ** Purpose : Compute the moist adiabatic lapse-rate.
851	!! => http://glossary.ametsoc.org/wiki/Moist-adiabatic_lapse_rate
852	!! => http://www.geog.ucsb.edu/~joel/g266_s10/lecture_notes/chapt03/oh10_3_01/oh10_3_01.html
853	!!
854	!! ** Author: L. Brodeau, june 2016 / AeroBulk (https://sourceforge.net/p/aerobulk)
855	!!----------------------------------------------------------------------------------
856	REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: ptak ! air temperature [K]
857	REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: pqa ! specific humidity [kg/kg]
858	REAL(wp), DIMENSION(jpi,jpj) :: gamma_moist ! moist adiabatic lapse-rate
859	!
860	INTEGER :: ji, jj ! dummy loop indices
861	REAL(wp) :: zrv, ziRT ! local scalar
862	!!----------------------------------------------------------------------------------
863	!
864	DO jj = 1, jpj
865	DO ji = 1, jpi
866	zrv = pqa(ji,jj) / (1. - pqa(ji,jj))
867	ziRT = 1. / (R_dry*ptak(ji,jj)) ! 1/RT
868	gamma_moist(ji,jj) = grav * ( 1. + cevapzrvziRT ) / ( Cp_dry + cevapcevapzrvreps0ziRT/ptak(ji,jj) )
869	END DO
870	END DO
871	!
872	END FUNCTION gamma_moist
873
874
875	FUNCTION L_vap( psst )
876	!!---------------------------------------------------------------------------------
877	!! * FUNCTION L_vap *
878	!!
879	!! ** Purpose : Compute the latent heat of vaporization of water from temperature
880	!!
881	!! ** Author: L. Brodeau, june 2016 / AeroBulk (https://sourceforge.net/p/aerobulk)
882	!!----------------------------------------------------------------------------------
883	REAL(wp), DIMENSION(jpi,jpj) :: L_vap ! latent heat of vaporization [J/kg]
884	REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: psst ! water temperature [K]
885	!!----------------------------------------------------------------------------------
886	!
887	L_vap = ( 2.501 - 0.00237 * ( psst(:,:) - rt0) ) * 1.e6
888	!
889	END FUNCTION L_vap
890
891	!!======================================================================
892	END MODULE sbcblk

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