MODULE limthd !!====================================================================== !! *** MODULE limthd *** !! LIM-3 : ice thermodynamic !!====================================================================== !! History : LIM ! 2000-01 (M.A. Morales Maqueda, H. Goosse, T. Fichefet) LIM-1 !! 2.0 ! 2002-07 (C. Ethe, G. Madec) LIM-2 (F90 rewriting) !! 3.0 ! 2005-11 (M. Vancoppenolle) LIM-3 : Multi-layer thermodynamics + salinity variations !! - ! 2007-04 (M. Vancoppenolle) add lim_thd_glohec, lim_thd_con_dh and lim_thd_con_dif !! 3.2 ! 2009-07 (M. Vancoppenolle, Y. Aksenov, G. Madec) bug correction in rdm_snw !! 3.3 ! 2010-11 (G. Madec) corrected snow melting heat (due to factor betas) !! 4.0 ! 2011-02 (G. Madec) dynamical allocation !! - ! 2012-05 (C. Rousset) add penetration solar flux !!---------------------------------------------------------------------- #if defined key_lim3 !!---------------------------------------------------------------------- !! 'key_lim3' LIM3 sea-ice model !!---------------------------------------------------------------------- !! lim_thd : thermodynamic of sea ice !! lim_thd_init : initialisation of sea-ice thermodynamic !!---------------------------------------------------------------------- USE phycst ! physical constants USE dom_oce ! ocean space and time domain variables USE oce , ONLY : iatte, oatte USE ice ! LIM: sea-ice variables USE par_ice ! LIM: sea-ice parameters USE sbc_oce ! Surface boundary condition: ocean fields USE sbc_ice ! Surface boundary condition: ice fields USE thd_ice ! LIM thermodynamic sea-ice variables USE dom_ice ! LIM sea-ice domain USE domvvl ! domain: variable volume level USE limthd_dif ! LIM: thermodynamics, vertical diffusion USE limthd_dh ! LIM: thermodynamics, ice and snow thickness variation USE limthd_sal ! LIM: thermodynamics, ice salinity USE limthd_ent ! LIM: thermodynamics, ice enthalpy redistribution USE limtab ! LIM: 1D <==> 2D transformation USE limvar ! LIM: sea-ice variables USE lbclnk ! lateral boundary condition - MPP links USE lib_mpp ! MPP library USE wrk_nemo ! work arrays USE in_out_manager ! I/O manager USE prtctl ! Print control USE lib_fortran ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined) USE timing ! Timing IMPLICIT NONE PRIVATE PUBLIC lim_thd ! called by limstp module PUBLIC lim_thd_init ! called by iceini module REAL(wp) :: epsi10 = 1.e-10_wp ! REAL(wp) :: zzero = 0._wp ! REAL(wp) :: zone = 1._wp ! !! * Substitutions # include "domzgr_substitute.h90" # include "vectopt_loop_substitute.h90" !!---------------------------------------------------------------------- !! NEMO/LIM3 3.3 , UCL - NEMO Consortium (2010) !! $Id$ !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) !!---------------------------------------------------------------------- CONTAINS SUBROUTINE lim_thd( kt ) !!------------------------------------------------------------------- !! *** ROUTINE lim_thd *** !! !! ** Purpose : This routine manages the ice thermodynamic. !! !! ** Action : - Initialisation of some variables !! - Some preliminary computation (oceanic heat flux !! at the ice base, snow acc.,heat budget of the leads) !! - selection of the icy points and put them in an array !! - call lim_vert_ther for vert ice thermodynamic !! - back to the geographic grid !! - selection of points for lateral accretion !! - call lim_lat_acc for the ice accretion !! - back to the geographic grid !! !! ** References : H. Goosse et al. 1996, Bul. Soc. Roy. Sc. Liege, 65, 87-90 !!--------------------------------------------------------------------- INTEGER, INTENT(in) :: kt ! number of iteration !! INTEGER :: ji, jj, jk, jl ! dummy loop indices INTEGER :: nbpb ! nb of icy pts for thermo. cal. REAL(wp) :: zfric_umin = 5e-03_wp ! lower bound for the friction velocity REAL(wp) :: zfric_umax = 2e-02_wp ! upper bound for the friction velocity REAL(wp) :: zinda, zindb, zthsnice, zfric_u ! local scalar REAL(wp) :: zfntlat, zpareff, zareamin, zcoef ! - - REAL(wp), POINTER, DIMENSION(:,:) :: zqlbsbq ! link with lead energy budget qldif REAL(wp) :: zchk_v_i, zchk_smv, zchk_fs, zchk_fw, zchk_v_i_b, zchk_smv_b, zchk_fs_b, zchk_fw_b ! Check conservation (C Rousset) REAL(wp) :: zchk_vmin, zchk_amin, zchk_amax ! Check errors (C Rousset) !!------------------------------------------------------------------- IF( nn_timing == 1 ) CALL timing_start('limthd') CALL wrk_alloc( jpi, jpj, zqlbsbq ) ! ------------------------------- !- check conservation (C Rousset) IF (ln_limdiahsb) THEN zchk_v_i_b = glob_sum( SUM( v_i(:,:,:), dim=3 ) * area(:,:) * tms(:,:) ) zchk_smv_b = glob_sum( SUM( smv_i(:,:,:), dim=3 ) * area(:,:) * tms(:,:) ) zchk_fw_b = glob_sum( rdm_ice(:,:) * area(:,:) * tms(:,:) ) zchk_fs_b = glob_sum( ( sfx_bri(:,:) + sfx_thd(:,:) + sfx_res(:,:) + sfx_mec(:,:) ) * area(:,:) * tms(:,:) ) ENDIF !- check conservation (C Rousset) ! ------------------------------- !------------------------------------------------------------------------------! ! 1) Initialization of diagnostic variables ! !------------------------------------------------------------------------------! !-------------------- ! 1.2) Heat content !-------------------- ! Change the units of heat content; from global units to J.m3 DO jl = 1, jpl DO jk = 1, nlay_i DO jj = 1, jpj DO ji = 1, jpi !Energy of melting q(S,T) [J.m-3] e_i(ji,jj,jk,jl) = e_i(ji,jj,jk,jl) / ( area(ji,jj) * MAX( v_i(ji,jj,jl) , epsi10 ) ) * REAL( nlay_i ) !0 if no ice and 1 if yes zindb = 1.0 - MAX( 0.0 , SIGN( 1.0 , - v_i(ji,jj,jl) + epsi10 ) ) !convert units ! very important that this line is here e_i(ji,jj,jk,jl) = e_i(ji,jj,jk,jl) * unit_fac * zindb END DO END DO END DO DO jk = 1, nlay_s DO jj = 1, jpj DO ji = 1, jpi !Energy of melting q(S,T) [J.m-3] e_s(ji,jj,jk,jl) = e_s(ji,jj,jk,jl) / ( area(ji,jj) * MAX( v_s(ji,jj,jl) , epsi10 ) ) * REAL( nlay_s ) !0 if no ice and 1 if yes zindb = 1.0 - MAX( 0.0 , SIGN( 1.0 , - v_s(ji,jj,jl) + epsi10 ) ) !convert units ! very important that this line is here e_s(ji,jj,jk,jl) = e_s(ji,jj,jk,jl) * unit_fac * zindb END DO END DO END DO END DO !----------------------------------- ! 1.4) Compute global heat content !----------------------------------- qt_i_in (:,:) = 0.e0 qt_s_in (:,:) = 0.e0 qt_i_fin (:,:) = 0.e0 qt_s_fin (:,:) = 0.e0 sum_fluxq(:,:) = 0.e0 fatm (:,:) = 0.e0 ! 2) Partial computation of forcing for the thermodynamic sea ice model. ! !-----------------------------------------------------------------------------! !CDIR NOVERRCHK DO jj = 1, jpj !CDIR NOVERRCHK DO ji = 1, jpi zinda = tms(ji,jj) * ( 1.0 - MAX( zzero , SIGN( zone , - at_i(ji,jj) + epsi10 ) ) ) ! ! ! solar irradiance transmission at the mixed layer bottom and used in the lead heat budget ! ! practically no "direct lateral ablation" ! ! ! net downward heat flux from the ice to the ocean, expressed as a function of ocean ! ! temperature and turbulent mixing (McPhee, 1992) ! friction velocity zfric_u = MAX ( MIN( SQRT( ust2s(ji,jj) ) , zfric_umax ) , zfric_umin ) ! here the drag will depend on ice thickness and type (0.006) fdtcn(ji,jj) = zinda * rau0 * rcp * 0.006 * zfric_u * ( ( sst_m(ji,jj) + rt0 ) - t_bo(ji,jj) ) ! also category dependent ! !-- Energy from the turbulent oceanic heat flux heat flux coming in the lead qdtcn(ji,jj) = zinda * fdtcn(ji,jj) * ( 1.0 - at_i(ji,jj) ) * rdt_ice ! ! !-- Lead heat budget, qldif (part 1, next one is in limthd_dh) ! ! caution: exponent betas used as more snow can fallinto leads qldif(ji,jj) = tms(ji,jj) * rdt_ice * ( & & pfrld(ji,jj) * ( qsr(ji,jj) * oatte(ji,jj) & ! solar heat + clem modif & + qns(ji,jj) & ! non solar heat & + fdtcn(ji,jj) & ! turbulent ice-ocean heat & + fsbbq(ji,jj) * ( 1.0 - zinda ) ) & ! residual heat from previous step & - pfrld(ji,jj)**betas * sprecip(ji,jj) * lfus ) ! latent heat of sprecip melting ! ! Positive heat budget is used for bottom ablation zfntlat = 1.0 - MAX( zzero , SIGN( zone , - qldif(ji,jj) ) ) != 1 if positive heat budget zpareff = 1.0 - zinda * zfntlat != 0 if ice and positive heat budget and 1 if one of those two is false zqlbsbq(ji,jj) = qldif(ji,jj) * ( 1.0 - zpareff ) / ( rdt_ice * MAX( at_i(ji,jj), epsi10 ) ) ! ! Heat budget of the lead, energy transferred from ice to ocean qldif (ji,jj) = zpareff * qldif(ji,jj) qdtcn (ji,jj) = zpareff * qdtcn(ji,jj) ! ! Energy needed to bring ocean surface layer until its freezing (qcmif, limflx) qcmif (ji,jj) = rau0 * rcp * fse3t_m(ji,jj) * ( t_bo(ji,jj) - ( sst_m(ji,jj) + rt0 ) ) ! ! oceanic heat flux (limthd_dh) fbif (ji,jj) = zinda * ( fsbbq(ji,jj) / MAX( at_i(ji,jj) , epsi10 ) + fdtcn(ji,jj) ) ! END DO END DO !------------------------------------------------------------------------------! ! 3) Select icy points and fulfill arrays for the vectorial grid. !------------------------------------------------------------------------------! DO jl = 1, jpl !loop over ice categories IF( kt == nit000 .AND. lwp ) THEN WRITE(numout,*) ' lim_thd : transfer to 1D vectors. Category no : ', jl WRITE(numout,*) ' ~~~~~~~~' ENDIF zareamin = epsi10 nbpb = 0 DO jj = 1, jpj DO ji = 1, jpi IF ( a_i(ji,jj,jl) .gt. zareamin ) THEN nbpb = nbpb + 1 npb(nbpb) = (jj - 1) * jpi + ji ENDIF END DO END DO ! debug point to follow jiindex_1d = 0 IF( ln_nicep ) THEN DO ji = mi0(jiindx), mi1(jiindx) DO jj = mj0(jjindx), mj1(jjindx) jiindex_1d = (jj - 1) * jpi + ji END DO END DO ENDIF !------------------------------------------------------------------------------! ! 4) Thermodynamic computation !------------------------------------------------------------------------------! IF( lk_mpp ) CALL mpp_ini_ice( nbpb , numout ) IF( nbpb > 0 ) THEN ! If there is no ice, do nothing. !------------------------- ! 4.1 Move to 1D arrays !------------------------- CALL tab_2d_1d( nbpb, at_i_b (1:nbpb), at_i , jpi, jpj, npb(1:nbpb) ) CALL tab_2d_1d( nbpb, a_i_b (1:nbpb), a_i(:,:,jl) , jpi, jpj, npb(1:nbpb) ) CALL tab_2d_1d( nbpb, ht_i_b (1:nbpb), ht_i(:,:,jl) , jpi, jpj, npb(1:nbpb) ) CALL tab_2d_1d( nbpb, ht_s_b (1:nbpb), ht_s(:,:,jl) , jpi, jpj, npb(1:nbpb) ) CALL tab_2d_1d( nbpb, t_su_b (1:nbpb), t_su(:,:,jl) , jpi, jpj, npb(1:nbpb) ) CALL tab_2d_1d( nbpb, sm_i_b (1:nbpb), sm_i(:,:,jl) , jpi, jpj, npb(1:nbpb) ) DO jk = 1, nlay_s CALL tab_2d_1d( nbpb, t_s_b(1:nbpb,jk), t_s(:,:,jk,jl) , jpi, jpj, npb(1:nbpb) ) CALL tab_2d_1d( nbpb, q_s_b(1:nbpb,jk), e_s(:,:,jk,jl) , jpi, jpj, npb(1:nbpb) ) END DO DO jk = 1, nlay_i CALL tab_2d_1d( nbpb, t_i_b(1:nbpb,jk), t_i(:,:,jk,jl) , jpi, jpj, npb(1:nbpb) ) CALL tab_2d_1d( nbpb, q_i_b(1:nbpb,jk), e_i(:,:,jk,jl) , jpi, jpj, npb(1:nbpb) ) CALL tab_2d_1d( nbpb, s_i_b(1:nbpb,jk), s_i(:,:,jk,jl) , jpi, jpj, npb(1:nbpb) ) END DO CALL tab_2d_1d( nbpb, tatm_ice_1d(1:nbpb), tatm_ice(:,:) , jpi, jpj, npb(1:nbpb) ) CALL tab_2d_1d( nbpb, qsr_ice_1d (1:nbpb), qsr_ice(:,:,jl) , jpi, jpj, npb(1:nbpb) ) CALL tab_2d_1d( nbpb, fr1_i0_1d (1:nbpb), fr1_i0 , jpi, jpj, npb(1:nbpb) ) CALL tab_2d_1d( nbpb, fr2_i0_1d (1:nbpb), fr2_i0 , jpi, jpj, npb(1:nbpb) ) CALL tab_2d_1d( nbpb, qnsr_ice_1d(1:nbpb), qns_ice(:,:,jl) , jpi, jpj, npb(1:nbpb) ) #if ! defined key_coupled CALL tab_2d_1d( nbpb, qla_ice_1d (1:nbpb), qla_ice(:,:,jl) , jpi, jpj, npb(1:nbpb) ) CALL tab_2d_1d( nbpb, dqla_ice_1d(1:nbpb), dqla_ice(:,:,jl), jpi, jpj, npb(1:nbpb) ) #endif CALL tab_2d_1d( nbpb, dqns_ice_1d(1:nbpb), dqns_ice(:,:,jl), jpi, jpj, npb(1:nbpb) ) CALL tab_2d_1d( nbpb, t_bo_b (1:nbpb), t_bo , jpi, jpj, npb(1:nbpb) ) CALL tab_2d_1d( nbpb, sprecip_1d (1:nbpb), sprecip , jpi, jpj, npb(1:nbpb) ) CALL tab_2d_1d( nbpb, fbif_1d (1:nbpb), fbif , jpi, jpj, npb(1:nbpb) ) CALL tab_2d_1d( nbpb, qldif_1d (1:nbpb), qldif , jpi, jpj, npb(1:nbpb) ) CALL tab_2d_1d( nbpb, rdm_ice_1d (1:nbpb), rdm_ice , jpi, jpj, npb(1:nbpb) ) CALL tab_2d_1d( nbpb, rdm_snw_1d (1:nbpb), rdm_snw , jpi, jpj, npb(1:nbpb) ) CALL tab_2d_1d( nbpb, dmgwi_1d (1:nbpb), dmgwi , jpi, jpj, npb(1:nbpb) ) CALL tab_2d_1d( nbpb, qlbbq_1d (1:nbpb), zqlbsbq , jpi, jpj, npb(1:nbpb) ) CALL tab_2d_1d( nbpb, sfx_thd_1d (1:nbpb), sfx_thd , jpi, jpj, npb(1:nbpb) ) CALL tab_2d_1d( nbpb, sfx_bri_1d (1:nbpb), sfx_bri , jpi, jpj, npb(1:nbpb) ) CALL tab_2d_1d( nbpb, fhbri_1d (1:nbpb), fhbri , jpi, jpj, npb(1:nbpb) ) CALL tab_2d_1d( nbpb, fstbif_1d (1:nbpb), fstric , jpi, jpj, npb(1:nbpb) ) CALL tab_2d_1d( nbpb, qfvbq_1d (1:nbpb), qfvbq , jpi, jpj, npb(1:nbpb) ) CALL tab_2d_1d( nbpb, iatte_1d (1:nbpb), iatte , jpi, jpj, npb(1:nbpb) ) ! clem modif CALL tab_2d_1d( nbpb, oatte_1d (1:nbpb), oatte , jpi, jpj, npb(1:nbpb) ) ! clem modif !-------------------------------- ! 4.3) Thermodynamic processes !-------------------------------- IF( con_i .AND. jiindex_1d > 0 ) CALL lim_thd_enmelt( 1, nbpb ) ! computes sea ice energy of melting IF( con_i .AND. jiindex_1d > 0 ) CALL lim_thd_glohec( qt_i_in, qt_s_in, q_i_layer_in, 1, nbpb, jl ) ! !---------------------------------! CALL lim_thd_dif( 1, nbpb, jl ) ! Ice/Snow Temperature profile ! ! !---------------------------------! CALL lim_thd_enmelt( 1, nbpb ) ! computes sea ice energy of melting compulsory for limthd_dh IF( con_i .AND. jiindex_1d > 0 ) CALL lim_thd_glohec ( qt_i_fin, qt_s_fin, q_i_layer_fin, 1, nbpb, jl ) IF( con_i .AND. jiindex_1d > 0 ) CALL lim_thd_con_dif( 1 , nbpb , jl ) ! !---------------------------------! CALL lim_thd_dh( 1, nbpb, jl ) ! Ice/Snow thickness ! ! !---------------------------------! ! !---------------------------------! CALL lim_thd_ent( 1, nbpb, jl ) ! Ice/Snow enthalpy remapping ! ! !---------------------------------! ! !---------------------------------! CALL lim_thd_sal( 1, nbpb ) ! Ice salinity computation ! ! !---------------------------------! ! CALL lim_thd_enmelt(1,nbpb) ! computes sea ice energy of melting IF( con_i .AND. jiindex_1d > 0 ) CALL lim_thd_glohec( qt_i_fin, qt_s_fin, q_i_layer_fin, 1, nbpb, jl ) IF( con_i .AND. jiindex_1d > 0 ) CALL lim_thd_con_dh ( 1 , nbpb , jl ) !-------------------------------- ! 4.4) Move 1D to 2D vectors !-------------------------------- CALL tab_1d_2d( nbpb, at_i , npb, at_i_b (1:nbpb) , jpi, jpj ) CALL tab_1d_2d( nbpb, ht_i(:,:,jl) , npb, ht_i_b (1:nbpb) , jpi, jpj ) CALL tab_1d_2d( nbpb, ht_s(:,:,jl) , npb, ht_s_b (1:nbpb) , jpi, jpj ) CALL tab_1d_2d( nbpb, a_i (:,:,jl) , npb, a_i_b (1:nbpb) , jpi, jpj ) CALL tab_1d_2d( nbpb, t_su(:,:,jl) , npb, t_su_b (1:nbpb) , jpi, jpj ) CALL tab_1d_2d( nbpb, sm_i(:,:,jl) , npb, sm_i_b (1:nbpb) , jpi, jpj ) DO jk = 1, nlay_s CALL tab_1d_2d( nbpb, t_s(:,:,jk,jl), npb, t_s_b (1:nbpb,jk), jpi, jpj) CALL tab_1d_2d( nbpb, e_s(:,:,jk,jl), npb, q_s_b (1:nbpb,jk), jpi, jpj) END DO DO jk = 1, nlay_i CALL tab_1d_2d( nbpb, t_i(:,:,jk,jl), npb, t_i_b (1:nbpb,jk), jpi, jpj) CALL tab_1d_2d( nbpb, e_i(:,:,jk,jl), npb, q_i_b (1:nbpb,jk), jpi, jpj) CALL tab_1d_2d( nbpb, s_i(:,:,jk,jl), npb, s_i_b (1:nbpb,jk), jpi, jpj) END DO CALL tab_1d_2d( nbpb, fstric , npb, fstbif_1d (1:nbpb) , jpi, jpj ) CALL tab_1d_2d( nbpb, qldif , npb, qldif_1d (1:nbpb) , jpi, jpj ) CALL tab_1d_2d( nbpb, qfvbq , npb, qfvbq_1d (1:nbpb) , jpi, jpj ) CALL tab_1d_2d( nbpb, rdm_ice , npb, rdm_ice_1d(1:nbpb) , jpi, jpj ) CALL tab_1d_2d( nbpb, rdm_snw , npb, rdm_snw_1d(1:nbpb) , jpi, jpj ) CALL tab_1d_2d( nbpb, dmgwi , npb, dmgwi_1d (1:nbpb) , jpi, jpj ) CALL tab_1d_2d( nbpb, rdvosif , npb, dvsbq_1d (1:nbpb) , jpi, jpj ) CALL tab_1d_2d( nbpb, rdvobif , npb, dvbbq_1d (1:nbpb) , jpi, jpj ) CALL tab_1d_2d( nbpb, fdvolif , npb, dvlbq_1d (1:nbpb) , jpi, jpj ) CALL tab_1d_2d( nbpb, rdvonif , npb, dvnbq_1d (1:nbpb) , jpi, jpj ) CALL tab_1d_2d( nbpb, sfx_thd , npb, sfx_thd_1d(1:nbpb) , jpi, jpj ) ! IF( num_sal == 2 ) THEN CALL tab_1d_2d( nbpb, sfx_bri , npb, sfx_bri_1d(1:nbpb) , jpi, jpj ) CALL tab_1d_2d( nbpb, fhbri , npb, fhbri_1d (1:nbpb) , jpi, jpj ) ENDIF ! !+++++ temporary stuff for a dummy version CALL tab_1d_2d( nbpb, dh_i_surf2D, npb, dh_i_surf(1:nbpb) , jpi, jpj ) CALL tab_1d_2d( nbpb, dh_i_bott2D, npb, dh_i_bott(1:nbpb) , jpi, jpj ) CALL tab_1d_2d( nbpb, fsup2D , npb, fsup (1:nbpb) , jpi, jpj ) CALL tab_1d_2d( nbpb, focea2D , npb, focea (1:nbpb) , jpi, jpj ) CALL tab_1d_2d( nbpb, s_i_newice , npb, s_i_new (1:nbpb) , jpi, jpj ) CALL tab_1d_2d( nbpb, izero(:,:,jl) , npb, i0 (1:nbpb) , jpi, jpj ) CALL tab_1d_2d( nbpb, qns_ice(:,:,jl), npb, qnsr_ice_1d(1:nbpb), jpi, jpj) !+++++ ! IF( lk_mpp ) CALL mpp_comm_free( ncomm_ice ) !RB necessary ?? ENDIF ! END DO !------------------------------------------------------------------------------! ! 5) Global variables, diagnostics !------------------------------------------------------------------------------! !------------------------ ! 5.1) Ice heat content !------------------------ ! Enthalpies are global variables we have to readjust the units (heat content in 10^9 Joules) zcoef = 1._wp / ( unit_fac * REAL( nlay_i ) ) DO jl = 1, jpl DO jk = 1, nlay_i e_i(:,:,jk,jl) = e_i(:,:,jk,jl) * area(:,:) * a_i(:,:,jl) * ht_i(:,:,jl) * zcoef END DO END DO !------------------------ ! 5.2) Snow heat content !------------------------ ! Enthalpies are global variables we have to readjust the units (heat content in 10^9 Joules) zcoef = 1._wp / ( unit_fac * REAL( nlay_s ) ) DO jl = 1, jpl DO jk = 1, nlay_s e_s(:,:,jk,jl) = e_s(:,:,jk,jl) * area(:,:) * a_i(:,:,jl) * ht_s(:,:,jl) * zcoef END DO END DO !---------------------------------- ! 5.3) Change thickness to volume !---------------------------------- CALL lim_var_eqv2glo !-------------------------------------------- ! 5.4) Diagnostic thermodynamic growth rates !-------------------------------------------- !clem@useless d_v_i_thd(:,:,:) = v_i (:,:,:) - old_v_i(:,:,:) ! ice volumes !clem@mv-to-itd dv_dt_thd(:,:,:) = d_v_i_thd(:,:,:) * r1_rdtice * rday IF( con_i .AND. jiindex_1d > 0 ) fbif(:,:) = fbif(:,:) + zqlbsbq(:,:) IF(ln_ctl) THEN ! Control print CALL prt_ctl_info(' ') CALL prt_ctl_info(' - Cell values : ') CALL prt_ctl_info(' ~~~~~~~~~~~~~ ') CALL prt_ctl(tab2d_1=area , clinfo1=' lim_thd : cell area :') CALL prt_ctl(tab2d_1=at_i , clinfo1=' lim_thd : at_i :') CALL prt_ctl(tab2d_1=vt_i , clinfo1=' lim_thd : vt_i :') CALL prt_ctl(tab2d_1=vt_s , clinfo1=' lim_thd : vt_s :') DO jl = 1, jpl CALL prt_ctl_info(' ') CALL prt_ctl_info(' - Category : ', ivar1=jl) CALL prt_ctl_info(' ~~~~~~~~~~') CALL prt_ctl(tab2d_1=a_i (:,:,jl) , clinfo1= ' lim_thd : a_i : ') CALL prt_ctl(tab2d_1=ht_i (:,:,jl) , clinfo1= ' lim_thd : ht_i : ') CALL prt_ctl(tab2d_1=ht_s (:,:,jl) , clinfo1= ' lim_thd : ht_s : ') CALL prt_ctl(tab2d_1=v_i (:,:,jl) , clinfo1= ' lim_thd : v_i : ') CALL prt_ctl(tab2d_1=v_s (:,:,jl) , clinfo1= ' lim_thd : v_s : ') CALL prt_ctl(tab2d_1=e_s (:,:,1,jl) , clinfo1= ' lim_thd : e_s : ') CALL prt_ctl(tab2d_1=t_su (:,:,jl) , clinfo1= ' lim_thd : t_su : ') CALL prt_ctl(tab2d_1=t_s (:,:,1,jl) , clinfo1= ' lim_thd : t_snow : ') CALL prt_ctl(tab2d_1=sm_i (:,:,jl) , clinfo1= ' lim_thd : sm_i : ') CALL prt_ctl(tab2d_1=smv_i (:,:,jl) , clinfo1= ' lim_thd : smv_i : ') DO jk = 1, nlay_i CALL prt_ctl_info(' ') CALL prt_ctl_info(' - Layer : ', ivar1=jk) CALL prt_ctl_info(' ~~~~~~~') CALL prt_ctl(tab2d_1=t_i(:,:,jk,jl) , clinfo1= ' lim_thd : t_i : ') CALL prt_ctl(tab2d_1=e_i(:,:,jk,jl) , clinfo1= ' lim_thd : e_i : ') END DO END DO ENDIF ! ! ------------------------------- !- check conservation (C Rousset) IF (ln_limdiahsb) THEN zchk_fs = glob_sum( ( sfx_bri(:,:) + sfx_thd(:,:) + sfx_res(:,:) + sfx_mec(:,:) ) * area(:,:) * tms(:,:) ) - zchk_fs_b zchk_fw = glob_sum( rdm_ice(:,:) * area(:,:) * tms(:,:) ) - zchk_fw_b zchk_v_i = ( glob_sum( SUM( v_i(:,:,:), dim=3 ) * area(:,:) * tms(:,:) ) - zchk_v_i_b - ( zchk_fw / rhoic ) ) * r1_rdtice zchk_smv = ( glob_sum( SUM( smv_i(:,:,:), dim=3 ) * area(:,:) * tms(:,:) ) - zchk_smv_b ) * r1_rdtice + ( zchk_fs / rhoic ) zchk_vmin = glob_min(v_i) zchk_amax = glob_max(SUM(a_i,dim=3)) zchk_amin = glob_min(a_i) IF(lwp) THEN IF ( ABS( zchk_v_i ) > 1.e-5 ) WRITE(numout,*) 'violation volume [m3/day] (limthd) = ',(zchk_v_i * rday) IF ( ABS( zchk_smv ) > 1.e-4 ) WRITE(numout,*) 'violation saline [psu*m3/day] (limthd) = ',(zchk_smv * rday) IF ( zchk_vmin < 0. ) WRITE(numout,*) 'violation v_i<0 [mm] (limthd) = ',(zchk_vmin * 1.e-3) IF ( zchk_amax > amax+epsi10 ) WRITE(numout,*) 'violation a_i>amax (limthd) = ',zchk_amax IF ( zchk_amin < 0. ) WRITE(numout,*) 'violation a_i<0 (limthd) = ',zchk_amin ENDIF ENDIF !- check conservation (C Rousset) ! ------------------------------- ! CALL wrk_dealloc( jpi, jpj, zqlbsbq ) ! IF( nn_timing == 1 ) CALL timing_stop('limthd') END SUBROUTINE lim_thd SUBROUTINE lim_thd_glohec( eti, ets, etilayer, kideb, kiut, jl ) !!----------------------------------------------------------------------- !! *** ROUTINE lim_thd_glohec *** !! !! ** Purpose : Compute total heat content for each category !! Works with 1d vectors only !!----------------------------------------------------------------------- INTEGER , INTENT(in ) :: kideb, kiut ! bounds for the spatial loop INTEGER , INTENT(in ) :: jl ! category number REAL(wp), INTENT( out), DIMENSION (jpij,jpl ) :: eti, ets ! vertically-summed heat content for ice & snow REAL(wp), INTENT( out), DIMENSION (jpij,jkmax) :: etilayer ! heat content for ice layers !! INTEGER :: ji,jk ! loop indices !!----------------------------------------------------------------------- eti(:,:) = 0._wp ets(:,:) = 0._wp ! DO jk = 1, nlay_i ! total q over all layers, ice [J.m-2] DO ji = kideb, kiut etilayer(ji,jk) = q_i_b(ji,jk) * ht_i_b(ji) / REAL( nlay_i ) eti (ji,jl) = eti(ji,jl) + etilayer(ji,jk) END DO END DO DO ji = kideb, kiut ! total q over all layers, snow [J.m-2] ets(ji,jl) = ets(ji,jl) + q_s_b(ji,1) * ht_s_b(ji) / REAL( nlay_s ) END DO ! WRITE(numout,*) ' lim_thd_glohec ' WRITE(numout,*) ' qt_i_in : ', eti(jiindex_1d,jl) * r1_rdtice WRITE(numout,*) ' qt_s_in : ', ets(jiindex_1d,jl) * r1_rdtice WRITE(numout,*) ' qt_in : ', ( eti(jiindex_1d,jl) + ets(jiindex_1d,jl) ) * r1_rdtice ! END SUBROUTINE lim_thd_glohec SUBROUTINE lim_thd_con_dif( kideb, kiut, jl ) !!----------------------------------------------------------------------- !! *** ROUTINE lim_thd_con_dif *** !! !! ** Purpose : Test energy conservation after heat diffusion !!------------------------------------------------------------------- INTEGER , INTENT(in ) :: kideb, kiut ! bounds for the spatial loop INTEGER , INTENT(in ) :: jl ! category number INTEGER :: ji, jk ! loop indices INTEGER :: ii, ij INTEGER :: numce ! number of points for which conservation is violated REAL(wp) :: meance ! mean conservation error REAL(wp) :: max_cons_err, max_surf_err !!--------------------------------------------------------------------- max_cons_err = 1.0_wp ! maximum tolerated conservation error max_surf_err = 0.001_wp ! maximum tolerated surface error !-------------------------- ! Increment of energy !-------------------------- ! global DO ji = kideb, kiut dq_i(ji,jl) = qt_i_fin(ji,jl) - qt_i_in(ji,jl) + qt_s_fin(ji,jl) - qt_s_in(ji,jl) END DO ! layer by layer dq_i_layer(:,:) = q_i_layer_fin(:,:) - q_i_layer_in(:,:) !---------------------------------------- ! Atmospheric heat flux, ice heat budget !---------------------------------------- DO ji = kideb, kiut ii = MOD( npb(ji) - 1 , jpi ) + 1 ij = ( npb(ji) - 1 ) / jpi + 1 fatm (ji,jl) = qnsr_ice_1d(ji) + ( 1._wp - i0(ji) ) * qsr_ice_1d(ji) sum_fluxq(ji,jl) = fc_su(ji) - fc_bo_i(ji) + qsr_ice_1d(ji) * i0(ji) - fstroc(ii,ij,jl) END DO !-------------------- ! Conservation error !-------------------- DO ji = kideb, kiut cons_error(ji,jl) = ABS( dq_i(ji,jl) * r1_rdtice + sum_fluxq(ji,jl) ) END DO numce = 0 meance = 0._wp DO ji = kideb, kiut IF ( cons_error(ji,jl) .GT. max_cons_err ) THEN numce = numce + 1 meance = meance + cons_error(ji,jl) ENDIF END DO IF( numce > 0 ) meance = meance / numce WRITE(numout,*) ' Maximum tolerated conservation error : ', max_cons_err WRITE(numout,*) ' After lim_thd_dif, category : ', jl WRITE(numout,*) ' Mean conservation error on big error points ', meance, numit WRITE(numout,*) ' Number of points where there is a cons err gt than c.e. : ', numce, numit !------------------------------------------------------- ! Surface error due to imbalance between Fatm and Fcsu !------------------------------------------------------- numce = 0 meance = 0._wp DO ji = kideb, kiut surf_error(ji,jl) = ABS ( fatm(ji,jl) - fc_su(ji) ) IF( ( t_su_b(ji) .LT. rtt ) .AND. ( surf_error(ji,jl) .GT. max_surf_err ) ) THEN numce = numce + 1 meance = meance + surf_error(ji,jl) ENDIF ENDDO IF( numce > 0 ) meance = meance / numce WRITE(numout,*) ' Maximum tolerated surface error : ', max_surf_err WRITE(numout,*) ' After lim_thd_dif, category : ', jl WRITE(numout,*) ' Mean surface error on big error points ', meance, numit WRITE(numout,*) ' Number of points where there is a surf err gt than surf_err : ', numce, numit WRITE(numout,*) ' fc_su : ', fc_su(jiindex_1d) WRITE(numout,*) ' fatm : ', fatm(jiindex_1d,jl) WRITE(numout,*) ' t_su : ', t_su_b(jiindex_1d) !--------------------------------------- ! Write ice state in case of big errors !--------------------------------------- DO ji = kideb, kiut IF ( ( ( t_su_b(ji) .LT. rtt ) .AND. ( surf_error(ji,jl) .GT. max_surf_err ) ) .OR. & ( cons_error(ji,jl) .GT. max_cons_err ) ) THEN ii = MOD( npb(ji) - 1, jpi ) + 1 ij = ( npb(ji) - 1 ) / jpi + 1 ! WRITE(numout,*) ' alerte 1 ' WRITE(numout,*) ' Untolerated conservation / surface error after ' WRITE(numout,*) ' heat diffusion in the ice ' WRITE(numout,*) ' Category : ', jl WRITE(numout,*) ' ii , ij : ', ii, ij WRITE(numout,*) ' lat, lon : ', gphit(ii,ij), glamt(ii,ij) WRITE(numout,*) ' cons_error : ', cons_error(ji,jl) WRITE(numout,*) ' surf_error : ', surf_error(ji,jl) WRITE(numout,*) ' dq_i : ', - dq_i(ji,jl) * r1_rdtice WRITE(numout,*) ' Fdt : ', sum_fluxq(ji,jl) WRITE(numout,*) ! WRITE(numout,*) ' qt_i_in : ', qt_i_in(ji,jl) ! WRITE(numout,*) ' qt_s_in : ', qt_s_in(ji,jl) ! WRITE(numout,*) ' qt_i_fin : ', qt_i_fin(ji,jl) ! WRITE(numout,*) ' qt_s_fin : ', qt_s_fin(ji,jl) ! WRITE(numout,*) ' qt : ', qt_i_fin(ji,jl) + qt_s_fin(ji,jl) WRITE(numout,*) ' ht_i : ', ht_i_b(ji) WRITE(numout,*) ' ht_s : ', ht_s_b(ji) WRITE(numout,*) ' t_su : ', t_su_b(ji) WRITE(numout,*) ' t_s : ', t_s_b(ji,1) WRITE(numout,*) ' t_i : ', t_i_b(ji,1:nlay_i) WRITE(numout,*) ' t_bo : ', t_bo_b(ji) WRITE(numout,*) ' q_i : ', q_i_b(ji,1:nlay_i) WRITE(numout,*) ' s_i : ', s_i_b(ji,1:nlay_i) WRITE(numout,*) ' tmelts : ', rtt - tmut*s_i_b(ji,1:nlay_i) WRITE(numout,*) WRITE(numout,*) ' Fluxes ' WRITE(numout,*) ' ~~~~~~ ' WRITE(numout,*) ' fatm : ', fatm(ji,jl) WRITE(numout,*) ' fc_su : ', fc_su (ji) WRITE(numout,*) ' fstr_inice : ', qsr_ice_1d(ji)*i0(ji) WRITE(numout,*) ' fc_bo : ', - fc_bo_i (ji) WRITE(numout,*) ' foc : ', fbif_1d(ji) WRITE(numout,*) ' fstroc : ', fstroc (ii,ij,jl) WRITE(numout,*) ' i0 : ', i0(ji) WRITE(numout,*) ' qsr_ice : ', (1.0-i0(ji))*qsr_ice_1d(ji) WRITE(numout,*) ' qns_ice : ', qnsr_ice_1d(ji) WRITE(numout,*) ' Conduction fluxes : ' WRITE(numout,*) ' fc_s : ', fc_s(ji,0:nlay_s) WRITE(numout,*) ' fc_i : ', fc_i(ji,0:nlay_i) WRITE(numout,*) WRITE(numout,*) ' Layer by layer ... ' WRITE(numout,*) ' dq_snow : ', ( qt_s_fin(ji,jl) - qt_s_in(ji,jl) ) * r1_rdtice WRITE(numout,*) ' dfc_snow : ', fc_s(ji,1) - fc_s(ji,0) DO jk = 1, nlay_i WRITE(numout,*) ' layer : ', jk WRITE(numout,*) ' dq_ice : ', dq_i_layer(ji,jk) * r1_rdtice WRITE(numout,*) ' radab : ', radab(ji,jk) WRITE(numout,*) ' dfc_i : ', fc_i(ji,jk) - fc_i(ji,jk-1) WRITE(numout,*) ' tot f : ', fc_i(ji,jk) - fc_i(ji,jk-1) - radab(ji,jk) END DO ENDIF ! END DO ! END SUBROUTINE lim_thd_con_dif SUBROUTINE lim_thd_con_dh( kideb, kiut, jl ) !!----------------------------------------------------------------------- !! *** ROUTINE lim_thd_con_dh *** !! !! ** Purpose : Test energy conservation after enthalpy redistr. !!----------------------------------------------------------------------- INTEGER, INTENT(in) :: kideb, kiut ! bounds for the spatial loop INTEGER, INTENT(in) :: jl ! category number ! INTEGER :: ji ! loop indices INTEGER :: ii, ij, numce ! local integers REAL(wp) :: meance, max_cons_err !local scalar !!--------------------------------------------------------------------- max_cons_err = 1._wp !-------------------------- ! Increment of energy !-------------------------- DO ji = kideb, kiut dq_i(ji,jl) = qt_i_fin(ji,jl) - qt_i_in(ji,jl) + qt_s_fin(ji,jl) - qt_s_in(ji,jl) ! global END DO dq_i_layer(:,:) = q_i_layer_fin(:,:) - q_i_layer_in(:,:) ! layer by layer !---------------------------------------- ! Atmospheric heat flux, ice heat budget !---------------------------------------- DO ji = kideb, kiut ii = MOD( npb(ji) - 1 , jpi ) + 1 ij = ( npb(ji) - 1 ) / jpi + 1 fatm (ji,jl) = qnsr_ice_1d(ji) + qsr_ice_1d(ji) ! total heat flux sum_fluxq (ji,jl) = fatm(ji,jl) + fbif_1d(ji) - ftotal_fin(ji) - fstroc(ii,ij,jl) cons_error(ji,jl) = ABS( dq_i(ji,jl) * r1_rdtice + sum_fluxq(ji,jl) ) END DO !-------------------- ! Conservation error !-------------------- DO ji = kideb, kiut cons_error(ji,jl) = ABS( dq_i(ji,jl) * r1_rdtice + sum_fluxq(ji,jl) ) END DO numce = 0 meance = 0._wp DO ji = kideb, kiut IF( cons_error(ji,jl) .GT. max_cons_err ) THEN numce = numce + 1 meance = meance + cons_error(ji,jl) ENDIF ENDDO IF(numce > 0 ) meance = meance / numce WRITE(numout,*) ' Error report - Category : ', jl WRITE(numout,*) ' ~~~~~~~~~~~~ ' WRITE(numout,*) ' Maximum tolerated conservation error : ', max_cons_err WRITE(numout,*) ' After lim_thd_ent, category : ', jl WRITE(numout,*) ' Mean conservation error on big error points ', meance, numit WRITE(numout,*) ' Number of points where there is a cons err gt than 0.1 W/m2 : ', numce, numit !--------------------------------------- ! Write ice state in case of big errors !--------------------------------------- DO ji = kideb, kiut IF ( cons_error(ji,jl) .GT. max_cons_err ) THEN ii = MOD( npb(ji) - 1, jpi ) + 1 ij = ( npb(ji) - 1 ) / jpi + 1 ! WRITE(numout,*) ' alerte 1 - category : ', jl WRITE(numout,*) ' Untolerated conservation error after limthd_ent ' WRITE(numout,*) ' ii , ij : ', ii, ij WRITE(numout,*) ' lat, lon : ', gphit(ii,ij), glamt(ii,ij) WRITE(numout,*) ' * ' WRITE(numout,*) ' Ftotal : ', sum_fluxq(ji,jl) WRITE(numout,*) ' dq_t : ', - dq_i(ji,jl) * r1_rdtice WRITE(numout,*) ' dq_i : ', - ( qt_i_fin(ji,jl) - qt_i_in(ji,jl) ) * r1_rdtice WRITE(numout,*) ' dq_s : ', - ( qt_s_fin(ji,jl) - qt_s_in(ji,jl) ) * r1_rdtice WRITE(numout,*) ' cons_error : ', cons_error(ji,jl) WRITE(numout,*) ' * ' WRITE(numout,*) ' Fluxes --- : ' WRITE(numout,*) ' fatm : ', fatm(ji,jl) WRITE(numout,*) ' foce : ', fbif_1d(ji) WRITE(numout,*) ' fres : ', ftotal_fin(ji) WRITE(numout,*) ' fhbri : ', fhbricat(ii,ij,jl) WRITE(numout,*) ' * ' WRITE(numout,*) ' Heat contents --- : ' WRITE(numout,*) ' qt_s_in : ', qt_s_in(ji,jl) * r1_rdtice WRITE(numout,*) ' qt_i_in : ', qt_i_in(ji,jl) * r1_rdtice WRITE(numout,*) ' qt_in : ', ( qt_i_in(ji,jl) + qt_s_in(ji,jl) ) * r1_rdtice WRITE(numout,*) ' qt_s_fin : ', qt_s_fin(ji,jl) * r1_rdtice WRITE(numout,*) ' qt_i_fin : ', qt_i_fin(ji,jl) * r1_rdtice WRITE(numout,*) ' qt_fin : ', ( qt_i_fin(ji,jl) + qt_s_fin(ji,jl) ) * r1_rdtice WRITE(numout,*) ' * ' WRITE(numout,*) ' Ice variables --- : ' WRITE(numout,*) ' ht_i : ', ht_i_b(ji) WRITE(numout,*) ' ht_s : ', ht_s_b(ji) WRITE(numout,*) ' dh_s_tot : ', dh_s_tot(ji) WRITE(numout,*) ' dh_snowice: ', dh_snowice(ji) WRITE(numout,*) ' dh_i_surf : ', dh_i_surf(ji) WRITE(numout,*) ' dh_i_bott : ', dh_i_bott(ji) ENDIF ! END DO ! END SUBROUTINE lim_thd_con_dh SUBROUTINE lim_thd_enmelt( kideb, kiut ) !!----------------------------------------------------------------------- !! *** ROUTINE lim_thd_enmelt *** !! !! ** Purpose : Computes sea ice energy of melting q_i (J.m-3) !! !! ** Method : Formula (Bitz and Lipscomb, 1999) !!------------------------------------------------------------------- INTEGER, INTENT(in) :: kideb, kiut ! bounds for the spatial loop !! INTEGER :: ji, jk ! dummy loop indices REAL(wp) :: ztmelts ! local scalar !!------------------------------------------------------------------- ! DO jk = 1, nlay_i ! Sea ice energy of melting DO ji = kideb, kiut ztmelts = - tmut * s_i_b(ji,jk) + rtt q_i_b(ji,jk) = rhoic * ( cpic * ( ztmelts - t_i_b(ji,jk) ) & & + lfus * ( 1.0 - (ztmelts-rtt) / MIN( t_i_b(ji,jk)-rtt, -epsi10 ) ) & & - rcp * ( ztmelts-rtt ) ) END DO END DO DO jk = 1, nlay_s ! Snow energy of melting DO ji = kideb, kiut q_s_b(ji,jk) = rhosn * ( cpic * ( rtt - t_s_b(ji,jk) ) + lfus ) END DO END DO ! END SUBROUTINE lim_thd_enmelt SUBROUTINE lim_thd_init !!----------------------------------------------------------------------- !! *** ROUTINE lim_thd_init *** !! !! ** Purpose : Physical constants and parameters linked to the ice !! thermodynamics !! !! ** Method : Read the namicethd namelist and check the ice-thermo !! parameter values called at the first timestep (nit000) !! !! ** input : Namelist namicether !!------------------------------------------------------------------- INTEGER :: ios ! Local integer output status for namelist read NAMELIST/namicethd/ hmelt , hiccrit, fraz_swi, maxfrazb, vfrazb, Cfrazb, & & hicmin, hiclim, & & sbeta , parlat, hakspl, hibspl, exld, & & hakdif, hnzst , thth , parsub, alphs, betas, & & kappa_i, nconv_i_thd, maxer_i_thd, thcon_i_swi !!------------------------------------------------------------------- ! IF(lwp) THEN WRITE(numout,*) WRITE(numout,*) 'lim_thd : Ice Thermodynamics' WRITE(numout,*) '~~~~~~~' ENDIF ! REWIND( numnam_ice_ref ) ! Namelist namicethd in reference namelist : Ice thermodynamics READ ( numnam_ice_ref, namicethd, IOSTAT = ios, ERR = 901) 901 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namicethd in reference namelist', lwp ) REWIND( numnam_ice_cfg ) ! Namelist namicethd in configuration namelist : Ice thermodynamics READ ( numnam_ice_cfg, namicethd, IOSTAT = ios, ERR = 902 ) 902 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namicethd in configuration namelist', lwp ) WRITE ( numoni, namicethd ) ! IF(lwp) THEN ! control print WRITE(numout,*) WRITE(numout,*)' Namelist of ice parameters for ice thermodynamic computation ' WRITE(numout,*)' maximum melting at the bottom hmelt = ', hmelt WRITE(numout,*)' ice thick. for lateral accretion in NH (SH) hiccrit(1/2) = ', hiccrit WRITE(numout,*)' Frazil ice thickness as a function of wind or not fraz_swi = ', fraz_swi WRITE(numout,*)' Maximum proportion of frazil ice collecting at bottom maxfrazb = ', maxfrazb WRITE(numout,*)' Thresold relative drift speed for collection of frazil vfrazb = ', vfrazb WRITE(numout,*)' Squeezing coefficient for collection of frazil Cfrazb = ', Cfrazb WRITE(numout,*)' ice thick. corr. to max. energy stored in brine pocket hicmin = ', hicmin WRITE(numout,*)' minimum ice thickness hiclim = ', hiclim WRITE(numout,*)' numerical carac. of the scheme for diffusion in ice ' WRITE(numout,*)' Cranck-Nicholson (=0.5), implicit (=1), explicit (=0) sbeta = ', sbeta WRITE(numout,*)' percentage of energy used for lateral ablation parlat = ', parlat WRITE(numout,*)' slope of distr. for Hakkinen-Mellor lateral melting hakspl = ', hakspl WRITE(numout,*)' slope of distribution for Hibler lateral melting hibspl = ', hibspl WRITE(numout,*)' exponent for leads-closure rate exld = ', exld WRITE(numout,*)' coefficient for diffusions of ice and snow hakdif = ', hakdif WRITE(numout,*)' threshold thick. for comp. of eq. thermal conductivity zhth = ', thth WRITE(numout,*)' thickness of the surf. layer in temp. computation hnzst = ', hnzst WRITE(numout,*)' switch for snow sublimation (=1) or not (=0) parsub = ', parsub WRITE(numout,*)' coefficient for snow density when snow ice formation alphs = ', alphs WRITE(numout,*)' coefficient for ice-lead partition of snowfall betas = ', betas WRITE(numout,*)' extinction radiation parameter in sea ice (1.0) kappa_i = ', kappa_i WRITE(numout,*)' maximal n. of iter. for heat diffusion computation nconv_i_thd = ', nconv_i_thd WRITE(numout,*)' maximal err. on T for heat diffusion computation maxer_i_thd = ', maxer_i_thd WRITE(numout,*)' switch for comp. of thermal conductivity in the ice thcon_i_swi = ', thcon_i_swi ENDIF ! rcdsn = hakdif * rcdsn rcdic = hakdif * rcdic ! END SUBROUTINE lim_thd_init #else !!---------------------------------------------------------------------- !! Default option Dummy module NO LIM3 sea-ice model !!---------------------------------------------------------------------- #endif !!====================================================================== END MODULE limthd