MODULE ice
!!======================================================================
!! *** MODULE ice ***
!! sea-ice: ice variables defined in memory
!!======================================================================
!! History : 3.0 ! 2008-03 (M. Vancoppenolle) Original code
!! 4.0 ! 2018 (many people) SI3 [aka Sea Ice cube]
!!----------------------------------------------------------------------
#if defined key_si3
!!----------------------------------------------------------------------
!! 'key_si3' SI3 sea-ice model
!!----------------------------------------------------------------------
USE in_out_manager ! I/O manager
USE lib_mpp ! MPP library
IMPLICIT NONE
PRIVATE
PUBLIC ice_alloc ! called by icestp.F90
!!======================================================================
!! |
!! I C E S T A T E V A R I A B L E S |
!! |
!! Introduction : |
!! -------------- |
!! Every ice-covered grid cell is characterized by a series of state |
!! variables. To account for unresolved spatial variability in ice |
!! thickness, the ice cover in divided in ice thickness categories. |
!! |
!! Sea ice state variables depend on the ice thickness category |
!! |
!! Those variables are divided into two groups |
!! * Extensive (or global) variables. |
!! These are the variables that are transported by all means |
!! * Intensive (or equivalent) variables. |
!! These are the variables that are either physically more |
!! meaningful and/or used in ice thermodynamics |
!! |
!! List of ice state variables : |
!! ----------------------------- |
!! |
!!-------------|-------------|---------------------------------|-------|
!! name in | name in | meaning | units |
!! 2D routines | 1D routines | | |
!!-------------|-------------|---------------------------------|-------|
!! |
!! ******************************************************************* |
!! *** Dynamical variables (prognostic) *** |
!! ******************************************************************* |
!! |
!! u_ice | - | ice velocity in i-direction | m/s |
!! v_ice | - | ice velocity in j-direction | m/s |
!! |
!! ******************************************************************* |
!! *** Category dependent state variables (prognostic) *** |
!! ******************************************************************* |
!! |
!! ** Global variables |
!!-------------|-------------|---------------------------------|-------|
!! a_i | a_i_1d | Ice concentration | |
!! v_i | - | Ice volume per unit area | m |
!! v_s | - | Snow volume per unit area | m |
!! sv_i | - | Sea ice salt content | pss.m |
!! oa_i | - | Sea ice areal age content | s |
!! e_i | | Ice enthalpy | J/m2 |
!! | e_i_1d | Ice enthalpy per unit vol. | J/m3 |
!! e_s | | Snow enthalpy | J/m2 |
!! | e_s_1d | Snow enthalpy per unit vol. | J/m3 |
!! a_ip | - | Ice pond concentration | |
!! v_ip | - | Ice pond volume per unit area| m |
!! v_il | v_il_1d | Ice pond lid volume per area | m |
!! |
!!-------------|-------------|---------------------------------|-------|
!! |
!! ** Equivalent variables |
!!-------------|-------------|---------------------------------|-------|
!! |
!! h_i | h_i_1d | Ice thickness | m |
!! h_s ! h_s_1d | Snow depth | m |
!! s_i ! s_i_1d | Sea ice bulk salinity ! pss |
!! sz_i ! sz_i_1d | Sea ice salinity profile ! pss |
!! o_i ! - | Sea ice Age ! s |
!! t_i ! t_i_1d | Sea ice temperature ! K |
!! t_s ! t_s_1d | Snow temperature ! K |
!! t_su ! t_su_1d | Sea ice surface temperature ! K |
!! h_ip | h_ip_1d | Ice pond thickness | m |
!! h_il | h_il_1d | Ice pond lid thickness | m |
!! |
!! notes: the ice model only sees a bulk (i.e., vertically averaged) |
!! salinity, except in thermodynamic computations, for which |
!! the salinity profile is computed as a function of bulk |
!! salinity |
!! |
!! the sea ice surface temperature is not associated to any |
!! heat content. Therefore, it is not a state variable and |
!! does not have to be advected. Nevertheless, it has to be |
!! computed to determine whether the ice is melting or not |
!! |
!! ******************************************************************* |
!! *** Category-summed state variables (diagnostic) *** |
!! ******************************************************************* |
!! at_i | at_i_1d | Total ice concentration | |
!! vt_i | - | Total ice vol. per unit area | m |
!! vt_s | - | Total snow vol. per unit ar. | m |
!! st_i | - | Total Sea ice salt content | pss.m |
!! sm_i | - | Mean sea ice salinity | pss |
!! tm_i | - | Mean sea ice temperature | K |
!! tm_s | - | Mean snow temperature | K |
!! et_i | - | Total ice enthalpy | J/m2 |
!! et_s | - | Total snow enthalpy | J/m2 |
!! bv_i | - | relative brine volume | ??? |
!! at_ip | - | Total ice pond concentration | |
!! hm_ip | - | Mean ice pond depth | m |
!! vt_ip | - | Total ice pond vol. per unit area| m |
!! hm_il | - | Mean ice pond lid depth | m |
!! vt_il | - | Total ice pond lid vol. per area | m |
!!=====================================================================
!!----------------------------------------------------------------------
!! * Share Module variables
!!----------------------------------------------------------------------
! !!** ice-generic parameters namelist (nampar) **
INTEGER , PUBLIC :: jpl !: number of ice categories
INTEGER , PUBLIC :: nlay_i !: number of ice layers
INTEGER , PUBLIC :: nlay_s !: number of snow layers
LOGICAL , PUBLIC :: ln_virtual_itd !: virtual ITD mono-category parameterization (T) or not (F)
LOGICAL , PUBLIC :: ln_icedyn !: flag for ice dynamics (T) or not (F)
LOGICAL , PUBLIC :: ln_icethd !: flag for ice thermo (T) or not (F)
REAL(wp) , PUBLIC :: rn_amax_n !: maximum ice concentration Northern hemisphere
REAL(wp) , PUBLIC :: rn_amax_s !: maximum ice concentration Southern hemisphere
CHARACTER(len=256), PUBLIC :: cn_icerst_in !: suffix of ice restart name (input)
CHARACTER(len=256), PUBLIC :: cn_icerst_out !: suffix of ice restart name (output)
CHARACTER(len=256), PUBLIC :: cn_icerst_indir !: ice restart input directory
CHARACTER(len=256), PUBLIC :: cn_icerst_outdir !: ice restart output directory
! !!** ice-itd namelist (namitd) **
REAL(wp), PUBLIC :: rn_himin !: minimum ice thickness
! !!** ice-dynamics namelist (namdyn) **
REAL(wp), PUBLIC :: rn_ishlat !: lateral boundary condition for sea-ice
LOGICAL , PUBLIC :: ln_landfast_L16 !: landfast ice parameterizationfrom lemieux2016
REAL(wp), PUBLIC :: rn_lf_depfra !: fraction of ocean depth that ice must reach to initiate landfast ice
REAL(wp), PUBLIC :: rn_lf_bfr !: maximum bottom stress per unit area of contact (lemieux2016) or per unit volume (home)
REAL(wp), PUBLIC :: rn_lf_relax !: relaxation time scale (s-1) to reach static friction
REAL(wp), PUBLIC :: rn_lf_tensile !: isotropic tensile strength
!
! !!** ice-ridging/rafting namelist (namdyn_rdgrft) **
LOGICAL, PUBLIC :: ln_str_H79 !: ice strength parameterization (Hibler79) (may be used in rheology)
REAL(wp), PUBLIC :: rn_crhg !: determines changes in ice strength (also used for landfast param)
REAL(wp), PUBLIC :: rn_pstar !: determines ice strength, Hibler JPO79 (may be used in rheology)
!
! !!** ice-rheology namelist (namdyn_rhg) **
! -- evp
LOGICAL , PUBLIC :: ln_rhg_EVP ! EVP rheology switch, used for rdgrft and rheology
LOGICAL , PUBLIC :: ln_rhg_EAP ! EAP rheology switch, used for rdgrft and rheology
LOGICAL , PUBLIC :: ln_aEVP !: using adaptive EVP (T or F)
REAL(wp), PUBLIC :: rn_creepl !: creep limit (has to be low enough, circa 10-9 m/s, depending on rheology)
REAL(wp), PUBLIC :: rn_ecc !: eccentricity of the elliptical yield curve
INTEGER , PUBLIC :: nn_nevp !: number of iterations for subcycling
REAL(wp), PUBLIC :: rn_relast !: ratio => telast/rDt_ice (1/3 or 1/9 depending on nb of subcycling nevp)
INTEGER , PUBLIC :: nn_rhg_chkcvg !: check ice rheology convergence
! -- vp
LOGICAL , PUBLIC :: ln_rhg_VP !: VP rheology
INTEGER , PUBLIC :: nn_vp_nout !: Number of outer iterations
INTEGER , PUBLIC :: nn_vp_ninn !: Number of inner iterations (linear system solver)
INTEGER , PUBLIC :: nn_vp_chkcvg !: Number of iterations every each convergence is checked
!
! !!** ice-advection namelist (namdyn_adv) **
LOGICAL , PUBLIC :: ln_adv_Pra !: Prather advection scheme
LOGICAL , PUBLIC :: ln_adv_UMx !: Ultimate-Macho advection scheme
!
! !!** ice-surface boundary conditions namelist (namsbc) **
! -- icethd_dh -- !
REAL(wp), PUBLIC :: rn_snwblow !: coef. for partitioning of snowfall between leads and sea ice
! -- icethd_zdf and icealb -- !
INTEGER , PUBLIC :: nn_snwfra !: calculate the fraction of ice covered by snow
! ! = 0 fraction = 1 (if snow) or 0 (if no snow)
! ! = 1 fraction = 1-exp(-0.2*rhos*hsnw) [MetO formulation]
! ! = 2 fraction = hsnw / (hsnw+0.02) [CICE formulation]
! -- icethd -- !
REAL(wp), PUBLIC :: rn_cio !: drag coefficient for oceanic stress
INTEGER , PUBLIC :: nn_flxdist !: Redistribute heat flux over ice categories
! ! =-1 Do nothing (needs N(cat) fluxes)
! ! = 0 Average N(cat) fluxes then apply the average over the N(cat) ice
! ! = 1 Average N(cat) fluxes then redistribute over the N(cat) ice using T-ice and albedo sensitivity
! ! = 2 Redistribute a single flux over categories
! -- icethd_zdf -- !
LOGICAL , PUBLIC :: ln_cndflx !: use conduction flux as surface boundary condition (instead of qsr and qns)
LOGICAL , PUBLIC :: ln_cndemulate !: emulate conduction flux (if not provided)
! ! Conduction flux as surface forcing or not
INTEGER, PUBLIC, PARAMETER :: np_cnd_OFF = 0 !: no forcing from conduction flux (ice thermodynamics forced via qsr and qns)
INTEGER, PUBLIC, PARAMETER :: np_cnd_ON = 1 !: forcing from conduction flux (SM0L) (compute qcn and qsr_tr via sbcblk.F90 or sbccpl.F90)
INTEGER, PUBLIC, PARAMETER :: np_cnd_EMU = 2 !: emulate conduction flux via icethd_zdf.F90 (BL99) (1st round compute qcn and qsr_tr, 2nd round use it)
INTEGER, PUBLIC :: nn_qtrice !: Solar flux transmitted thru the surface scattering layer:
! ! = 0 Grenfell and Maykut 1977 (depends on cloudiness and is 0 when there is snow)
! ! = 1 Lebrun 2019 (equals 0.3 anytime with different melting/dry snw conductivities)
! !!** namelist (namthd) **
LOGICAL , PUBLIC :: ln_icedH ! activate ice thickness change from growing/melting (T) or not (F)
LOGICAL , PUBLIC :: ln_icedA ! activate lateral melting param. (T) or not (F)
LOGICAL , PUBLIC :: ln_icedO ! activate ice growth in open-water (T) or not (F)
LOGICAL , PUBLIC :: ln_icedS ! activate gravity drainage and flushing (T) or not (F)
LOGICAL , PUBLIC :: ln_leadhfx ! heat in the leads is used to melt sea-ice before warming the ocean
!
! !!** namelist (namthd_do) **
REAL(wp), PUBLIC :: rn_hinew ! thickness for new ice formation (m)
LOGICAL , PUBLIC :: ln_frazil ! use of frazil ice collection as function of wind (T) or not (F)
REAL(wp), PUBLIC :: rn_maxfraz ! maximum portion of frazil ice collecting at the ice bottom
REAL(wp), PUBLIC :: rn_vfraz ! threshold drift speed for collection of bottom frazil ice
REAL(wp), PUBLIC :: rn_Cfraz ! squeezing coefficient for collection of bottom frazil ice
!
! !!** ice-vertical diffusion namelist (namthd_zdf) **
LOGICAL , PUBLIC :: ln_cndi_U64 !: thermal conductivity: Untersteiner (1964)
LOGICAL , PUBLIC :: ln_cndi_P07 !: thermal conductivity: Pringle et al (2007)
REAL(wp), PUBLIC :: rn_cnd_s !: thermal conductivity of the snow [W/m/K]
REAL(wp), PUBLIC :: rn_kappa_i !: coef. for the extinction of radiation in sea ice, Grenfell et al. (2006) [1/m]
REAL(wp), PUBLIC :: rn_kappa_s !: coef. for the extinction of radiation in snw (nn_qtrice=0) [1/m]
REAL(wp), PUBLIC :: rn_kappa_smlt !: coef. for the extinction of radiation in melt snw (nn_qtrice=1) [1/m]
REAL(wp), PUBLIC :: rn_kappa_sdry !: coef. for the extinction of radiation in dry snw (nn_qtrice=1) [1/m]
LOGICAL , PUBLIC :: ln_zdf_chkcvg !: check convergence of heat diffusion scheme
! !!** ice-salinity namelist (namthd_sal) **
INTEGER , PUBLIC :: nn_icesal !: salinity configuration used in the model
! ! 1 - constant salinity in both space and time
! ! 2 - prognostic salinity (s(z,t))
! ! 3 - salinity profile, constant in time
REAL(wp), PUBLIC :: rn_icesal !: bulk salinity (ppt) in case of constant salinity
REAL(wp), PUBLIC :: rn_simax !: maximum ice salinity [PSU]
REAL(wp), PUBLIC :: rn_simin !: minimum ice salinity [PSU]
! !!** ice-ponds namelist (namthd_pnd)
LOGICAL , PUBLIC :: ln_pnd !: Melt ponds (T) or not (F)
LOGICAL , PUBLIC :: ln_pnd_TOPO !: Topographic Melt ponds scheme (Flocco et al 2007, 2010)
LOGICAL , PUBLIC :: ln_pnd_LEV !: Simple melt pond scheme
REAL(wp), PUBLIC :: rn_apnd_min !: Minimum fraction of melt water contributing to ponds
REAL(wp), PUBLIC :: rn_apnd_max !: Maximum fraction of melt water contributing to ponds
REAL(wp), PUBLIC :: rn_pnd_flush !: Pond flushing efficiency (tuning parameter)
LOGICAL , PUBLIC :: ln_pnd_CST !: Melt ponds scheme with constant fraction and depth
REAL(wp), PUBLIC :: rn_apnd !: prescribed pond fraction (0<rn_apnd<1)
REAL(wp), PUBLIC :: rn_hpnd !: prescribed pond depth (0<rn_hpnd<1)
LOGICAL, PUBLIC :: ln_pnd_lids !: Allow ponds to have frozen lids
LOGICAL , PUBLIC :: ln_pnd_alb !: melt ponds affect albedo
! !!** ice-diagnostics namelist (namdia) **
LOGICAL , PUBLIC :: ln_icediachk !: flag for ice diag (T) or not (F)
REAL(wp), PUBLIC :: rn_icechk_cel !: rate of ice spuriously gained/lost (at any gridcell)
REAL(wp), PUBLIC :: rn_icechk_glo !: rate of ice spuriously gained/lost (globally)
LOGICAL , PUBLIC :: ln_icediahsb !: flag for ice diag (T) or not (F)
LOGICAL , PUBLIC :: ln_icectl !: flag for sea-ice points output (T) or not (F)
INTEGER , PUBLIC :: iiceprt !: debug i-point
INTEGER , PUBLIC :: jiceprt !: debug j-point
! !!** some other parameters
INTEGER , PUBLIC :: kt_ice !: iteration number
REAL(wp), PUBLIC :: rDt_ice !: ice time step
REAL(wp), PUBLIC :: r1_Dt_ice !: = 1. / rDt_ice
REAL(wp), PUBLIC :: r1_nlay_i !: 1 / nlay_i
REAL(wp), PUBLIC :: r1_nlay_s !: 1 / nlay_s
REAL(wp), PUBLIC :: rswitch !: switch for the presence of ice (1) or not (0)
REAL(wp), PUBLIC :: rdiag_v, rdiag_s, rdiag_t, rdiag_fv, rdiag_fs, rdiag_ft !: conservation diagnostics
REAL(wp), PUBLIC, PARAMETER :: epsi06 = 1.e-06_wp !: small number
REAL(wp), PUBLIC, PARAMETER :: epsi10 = 1.e-10_wp !: small number
REAL(wp), PUBLIC, PARAMETER :: epsi20 = 1.e-20_wp !: small number
! !!** define arrays
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: u_oce,v_oce !: surface ocean velocity used in ice dynamics
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: ht_i_new !: ice collection thickness accreted in leads
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: fraz_frac !: fraction of frazil ice accreted at the ice bottom
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: strength !: ice strength
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: stress1_i, stress2_i, stress12_i !: 1st, 2nd & diagonal stress tensor element
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: delta_i !: ice rheology elta factor (Flato & Hibler 95) [s-1]
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: divu_i !: Divergence of the velocity field [s-1]
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: shear_i !: Shear of the velocity field [s-1]
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: aniso_11, aniso_12 !: structure tensor elements
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: rdg_conv
!
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: t_bo !: Sea-Ice bottom temperature [Kelvin]
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: qlead !: heat balance of the lead (or of the open ocean)
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: qsb_ice_bot !: net downward heat flux from the ice to the ocean
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: fhld !: heat flux from the lead used for bottom melting
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: wfx_snw !: mass flux from snow-ocean mass exchange [kg.m-2.s-1]
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: wfx_snw_sni !: mass flux from snow ice growth component of wfx_snw [kg.m-2.s-1]
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: wfx_snw_sum !: mass flux from surface melt component of wfx_snw [kg.m-2.s-1]
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: wfx_pnd !: mass flux from melt pond-ocean mass exchange [kg.m-2.s-1]
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: wfx_spr !: mass flux from snow precipitation on ice [kg.m-2.s-1]
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: wfx_sub !: mass flux from sublimation of snow/ice [kg.m-2.s-1]
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: wfx_snw_sub !: mass flux from snow sublimation [kg.m-2.s-1]
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: wfx_ice_sub !: mass flux from ice sublimation [kg.m-2.s-1]
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: wfx_snw_dyn !: mass flux from dynamical component of wfx_snw [kg.m-2.s-1]
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: wfx_ice !: mass flux from ice-ocean mass exchange [kg.m-2.s-1]
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: wfx_sni !: mass flux from snow ice growth component of wfx_ice [kg.m-2.s-1]
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: wfx_opw !: mass flux from lateral ice growth component of wfx_ice [kg.m-2.s-1]
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: wfx_bog !: mass flux from bottom ice growth component of wfx_ice [kg.m-2.s-1]
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: wfx_dyn !: mass flux from dynamical ice growth component of wfx_ice [kg.m-2.s-1]
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: wfx_bom !: mass flux from bottom melt component of wfx_ice [kg.m-2.s-1]
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: wfx_sum !: mass flux from surface melt component of wfx_ice [kg.m-2.s-1]
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: wfx_lam !: mass flux from lateral melt component of wfx_ice [kg.m-2.s-1]
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: wfx_res !: mass flux from residual component of wfx_ice [kg.m-2.s-1]
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: wfx_err_sub !: mass flux error after sublimation [kg.m-2.s-1]
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: sfx_bog !: salt flux due to ice bottom growth [pss.kg.m-2.s-1 => g.m-2.s-1]
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: sfx_bom !: salt flux due to ice bottom melt [pss.kg.m-2.s-1 => g.m-2.s-1]
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: sfx_lam !: salt flux due to ice lateral melt [pss.kg.m-2.s-1 => g.m-2.s-1]
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: sfx_sum !: salt flux due to ice surface melt [pss.kg.m-2.s-1 => g.m-2.s-1]
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: sfx_sni !: salt flux due to snow-ice growth [pss.kg.m-2.s-1 => g.m-2.s-1]
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: sfx_opw !: salt flux due to growth in open water [pss.kg.m-2.s-1 => g.m-2.s-1]
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: sfx_bri !: salt flux due to brine rejection [pss.kg.m-2.s-1 => g.m-2.s-1]
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: sfx_dyn !: salt flux due to porous ridged ice formation [pss.kg.m-2.s-1 => g.m-2.s-1]
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: sfx_res !: salt flux due to correction on ice thick. (residual) [pss.kg.m-2.s-1 => g.m-2.s-1]
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: sfx_sub !: salt flux due to ice sublimation [pss.kg.m-2.s-1 => g.m-2.s-1]
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: hfx_bog !: total heat flux causing bottom ice growth [W.m-2]
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: hfx_bom !: total heat flux causing bottom ice melt [W.m-2]
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: hfx_sum !: total heat flux causing surface ice melt [W.m-2]
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: hfx_opw !: total heat flux causing open water ice formation [W.m-2]
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: hfx_dif !: total heat flux causing Temp change in the ice [W.m-2]
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: hfx_snw !: heat flux for snow melt [W.m-2]
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: hfx_err_dif !: heat flux remaining due to change in non-solar flux [W.m-2]
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: qt_atm_oi !: heat flux at the interface atm-[oce+ice] [W.m-2]
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: qt_oce_ai !: heat flux at the interface oce-[atm+ice] [W.m-2]
! heat flux associated with ice-atmosphere mass exchange
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: hfx_sub !: heat flux for sublimation [W.m-2]
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: hfx_spr !: heat flux of the snow precipitation [W.m-2]
! heat flux associated with ice-ocean mass exchange
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: hfx_thd !: ice-ocean heat flux from thermo processes (icethd_dh) [W.m-2]
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: hfx_dyn !: ice-ocean heat flux from ridging [W.m-2]
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: hfx_res !: heat flux due to correction on ice thick. (residual) [W.m-2]
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: rn_amax_2d !: maximum ice concentration 2d array
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: qtr_ice_bot !: transmitted solar radiation under ice
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: t1_ice !: temperature of the first layer (ln_cndflx=T) [K]
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: cnd_ice !: effective conductivity of the 1st layer (ln_cndflx=T) [W.m-2.K-1]
!!----------------------------------------------------------------------
!! * Ice global state variables
!!----------------------------------------------------------------------
!! Variables defined for each ice category
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: h_i !: Ice thickness (m)
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: a_i !: Ice fractional areas (concentration)
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: v_i !: Ice volume per unit area (m)
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: v_s !: Snow volume per unit area (m)
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: h_s !: Snow thickness (m)
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: t_su !: Sea-Ice Surface Temperature (K)
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: s_i !: Sea-Ice Bulk salinity (pss)
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: sv_i !: Sea-Ice Bulk salinity * volume per area (pss.m)
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: o_i !: Sea-Ice Age (s)
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: oa_i !: Sea-Ice Age times ice area (s)
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: bv_i !: brine volume
!! Variables summed over all categories, or associated to all the ice in a single grid cell
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: u_ice, v_ice !: components of the ice velocity (m/s)
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: vt_i , vt_s !: ice and snow total volume per unit area (m)
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: st_i !: Total ice salinity content (pss.m)
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: at_i !: ice total fractional area (ice concentration)
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: ato_i !: =1-at_i ; total open water fractional area
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: et_i , et_s !: ice and snow total heat content (J/m2)
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: tm_i !: mean ice temperature over all categories (K)
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: tm_s !: mean snw temperature over all categories (K)
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: bvm_i !: brine volume averaged over all categories
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: sm_i !: mean sea ice salinity averaged over all categories (pss)
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: tm_su !: mean surface temperature over all categories (K)
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: hm_i !: mean ice thickness over all categories (m)
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: hm_s !: mean snow thickness over all categories (m)
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: om_i !: mean ice age over all categories (s)
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: tau_icebfr !: ice friction on ocean bottom (landfast param activated)
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: icb_mask !: mask of grounded icebergs if landfast [0-1]
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:,:) :: t_s !: Snow temperatures [K]
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:,:) :: e_s !: Snow enthalpy [J/m2]
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:,:) :: t_i !: ice temperatures [K]
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:,:) :: e_i !: ice enthalpy [J/m2]
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:,:) :: sz_i !: ice salinity [PSS]
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: a_ip !: melt pond concentration
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: v_ip !: melt pond volume per grid cell area [m]
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: a_ip_frac !: melt pond fraction (a_ip/a_i)
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: a_ip_eff !: melt pond effective fraction (not covered up by lid) (a_ip/a_i)
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: h_ip !: melt pond depth [m]
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: v_il !: melt pond lid volume [m]
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: h_il !: melt pond lid thickness [m]
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: at_ip !: total melt pond concentration
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: hm_ip !: mean melt pond depth [m]
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: vt_ip !: total melt pond volume per gridcell area [m]
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: hm_il !: mean melt pond lid depth [m]
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: vt_il !: total melt pond lid volume per gridcell area [m]
! meltwater arrays to save for melt ponds (mv - could be grouped in a single meltwater volume array)
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: dh_i_sum_2d !: surface melt (2d arrays for ponds) [m]
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: dh_s_mlt_2d !: snow surf melt (2d arrays for ponds) [m]
!!----------------------------------------------------------------------
!! * Global variables at before time step
!!----------------------------------------------------------------------
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: v_s_b, v_i_b, h_s_b, h_i_b !: snow and ice volumes/thickness
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: v_ip_b, v_il_b !: ponds and lids volumes
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: a_i_b, sv_i_b !:
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:,:) :: e_s_b !: snow heat content
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:,:) :: e_i_b !: ice temperatures
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: u_ice_b, v_ice_b !: ice velocity
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: at_i_b !: ice concentration (total)
!!----------------------------------------------------------------------
!! * Ice thickness distribution variables
!!----------------------------------------------------------------------
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:) :: hi_max !: Boundary of ice thickness categories in thickness space
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:) :: hi_mean !: Mean ice thickness in catgories
!
!!----------------------------------------------------------------------
!! * Ice diagnostics
!!----------------------------------------------------------------------
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: diag_trp_vi !: transport of ice volume
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: diag_trp_vs !: transport of snw volume
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: diag_trp_ei !: transport of ice enthalpy [W/m2]
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: diag_trp_es !: transport of snw enthalpy [W/m2]
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: diag_trp_sv !: transport of salt content
!
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: diag_heat !: snw/ice heat content variation [W/m2]
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: diag_sice !: ice salt content variation []
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: diag_vice !: ice volume variation [m/s]
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: diag_vsnw !: snw volume variation [m/s]
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: diag_aice !: ice conc. variation [s-1]
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: diag_vpnd !: pond volume variation [m/s]
!
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: diag_adv_mass !: advection of mass (kg/m2/s)
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: diag_adv_salt !: advection of salt (g/m2/s)
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: diag_adv_heat !: advection of heat (W/m2)
!
!!----------------------------------------------------------------------
!! * Ice conservation
!!----------------------------------------------------------------------
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: diag_v !: conservation of ice volume
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: diag_s !: conservation of ice salt
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: diag_t !: conservation of ice heat
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: diag_fv !: conservation of ice volume
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: diag_fs !: conservation of ice salt
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: diag_ft !: conservation of ice heat
!
!!----------------------------------------------------------------------
!! * SIMIP extra diagnostics
!!----------------------------------------------------------------------
! Extra sea ice diagnostics to address the data request
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: t_si !: Temperature at Snow-ice interface (K)
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: tm_si !: mean temperature at the snow-ice interface (K)
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: qcn_ice_bot !: Bottom conduction flux (W/m2)
REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: qcn_ice_top !: Surface conduction flux (W/m2)
!
!!----------------------------------------------------------------------
!! NEMO/ICE 4.0 , NEMO Consortium (2018)
!! $Id: ice.F90 15388 2021-10-17 11:33:47Z clem $
!! Software governed by the CeCILL license (see ./LICENSE)
!!----------------------------------------------------------------------
CONTAINS
FUNCTION ice_alloc()
!!-----------------------------------------------------------------
!! *** Routine ice_alloc ***
!!-----------------------------------------------------------------
INTEGER :: ice_alloc
!
INTEGER :: ierr(16), ii
!!-----------------------------------------------------------------
ierr(:) = 0
ii = 1
ALLOCATE( u_oce (jpi,jpj) , v_oce (jpi,jpj) , ht_i_new (jpi,jpj) , fraz_frac (jpi,jpj) , &
& strength (jpi,jpj) , stress1_i(jpi,jpj) , stress2_i(jpi,jpj) , stress12_i(jpi,jpj) , &
& delta_i (jpi,jpj) , divu_i (jpi,jpj) , shear_i (jpi,jpj) , &
& aniso_11 (jpi,jpj) , aniso_12 (jpi,jpj) , rdg_conv (jpi,jpj) , STAT=ierr(ii) )
ii = ii + 1
ALLOCATE( t_bo (jpi,jpj) , wfx_snw_sni(jpi,jpj) , &
& wfx_snw (jpi,jpj) , wfx_snw_dyn(jpi,jpj) , wfx_snw_sum(jpi,jpj) , wfx_snw_sub(jpi,jpj) , &
& wfx_ice (jpi,jpj) , wfx_sub (jpi,jpj) , wfx_ice_sub(jpi,jpj) , wfx_lam (jpi,jpj) , &
& wfx_pnd (jpi,jpj) , &
& wfx_bog (jpi,jpj) , wfx_dyn (jpi,jpj) , wfx_bom(jpi,jpj) , wfx_sum(jpi,jpj) , &
& wfx_res (jpi,jpj) , wfx_sni (jpi,jpj) , wfx_opw(jpi,jpj) , wfx_spr(jpi,jpj) , &
& rn_amax_2d (jpi,jpj) , &
& qsb_ice_bot(jpi,jpj) , qlead (jpi,jpj) , &
& sfx_res (jpi,jpj) , sfx_bri (jpi,jpj) , sfx_dyn(jpi,jpj) , sfx_sub(jpi,jpj) , sfx_lam(jpi,jpj) , &
& sfx_bog (jpi,jpj) , sfx_bom (jpi,jpj) , sfx_sum(jpi,jpj) , sfx_sni(jpi,jpj) , sfx_opw(jpi,jpj) , &
& hfx_res (jpi,jpj) , hfx_snw (jpi,jpj) , hfx_sub(jpi,jpj) , &
& qt_atm_oi (jpi,jpj) , qt_oce_ai (jpi,jpj) , fhld (jpi,jpj) , &
& hfx_sum (jpi,jpj) , hfx_bom (jpi,jpj) , hfx_bog(jpi,jpj) , hfx_dif(jpi,jpj) , &
& hfx_opw (jpi,jpj) , hfx_thd (jpi,jpj) , hfx_dyn(jpi,jpj) , hfx_spr(jpi,jpj) , &
& hfx_err_dif(jpi,jpj) , wfx_err_sub(jpi,jpj) , STAT=ierr(ii) )
! * Ice global state variables
ii = ii + 1
ALLOCATE( qtr_ice_bot(jpi,jpj,jpl) , cnd_ice(jpi,jpj,jpl) , t1_ice(jpi,jpj,jpl) , &
& h_i (jpi,jpj,jpl) , a_i (jpi,jpj,jpl) , v_i (jpi,jpj,jpl) , &
& v_s (jpi,jpj,jpl) , h_s (jpi,jpj,jpl) , t_su (jpi,jpj,jpl) , &
& s_i (jpi,jpj,jpl) , sv_i (jpi,jpj,jpl) , o_i (jpi,jpj,jpl) , &
& oa_i (jpi,jpj,jpl) , bv_i (jpi,jpj,jpl) , STAT=ierr(ii) )
ii = ii + 1
ALLOCATE( u_ice(jpi,jpj) , v_ice(jpi,jpj) , &
& vt_i (jpi,jpj) , vt_s (jpi,jpj) , st_i(jpi,jpj) , at_i(jpi,jpj) , ato_i(jpi,jpj) , &
& et_i (jpi,jpj) , et_s (jpi,jpj) , tm_i(jpi,jpj) , tm_s(jpi,jpj) , &
& sm_i (jpi,jpj) , tm_su(jpi,jpj) , hm_i(jpi,jpj) , hm_s(jpi,jpj) , &
& om_i (jpi,jpj) , bvm_i(jpi,jpj) , tau_icebfr(jpi,jpj), icb_mask(jpi,jpj), STAT=ierr(ii) )
ii = ii + 1
ALLOCATE( t_s(jpi,jpj,nlay_s,jpl) , e_s(jpi,jpj,nlay_s,jpl) , STAT=ierr(ii) )
ii = ii + 1
ALLOCATE( t_i(jpi,jpj,nlay_i,jpl) , e_i(jpi,jpj,nlay_i,jpl) , sz_i(jpi,jpj,nlay_i,jpl) , STAT=ierr(ii) )
ii = ii + 1
ALLOCATE( a_ip(jpi,jpj,jpl) , v_ip(jpi,jpj,jpl) , a_ip_frac(jpi,jpj,jpl) , h_ip(jpi,jpj,jpl), &
& v_il(jpi,jpj,jpl) , h_il(jpi,jpj,jpl) , a_ip_eff (jpi,jpj,jpl) , &
& dh_i_sum_2d(jpi,jpj,jpl) , dh_s_mlt_2d(jpi,jpj,jpl) , STAT = ierr(ii) )
ii = ii + 1
ALLOCATE( at_ip(jpi,jpj) , hm_ip(jpi,jpj) , vt_ip(jpi,jpj) , hm_il(jpi,jpj) , vt_il(jpi,jpj) , STAT = ierr(ii) )
! * Old values of global variables
ii = ii + 1
ALLOCATE( v_s_b (jpi,jpj,jpl) , v_i_b (jpi,jpj,jpl) , h_s_b(jpi,jpj,jpl) , h_i_b(jpi,jpj,jpl), &
& v_ip_b(jpi,jpj,jpl) , v_il_b(jpi,jpj,jpl) , &
& a_i_b (jpi,jpj,jpl) , sv_i_b(jpi,jpj,jpl) , e_i_b(jpi,jpj,nlay_i,jpl) , e_s_b(jpi,jpj,nlay_s,jpl) , &
& STAT=ierr(ii) )
ii = ii + 1
ALLOCATE( u_ice_b(jpi,jpj) , v_ice_b(jpi,jpj) , at_i_b(jpi,jpj) , STAT=ierr(ii) )
! * Ice thickness distribution variables
ii = ii + 1
ALLOCATE( hi_max(0:jpl), hi_mean(jpl), STAT=ierr(ii) )
! * Ice diagnostics
ii = ii + 1
ALLOCATE( diag_trp_vi(jpi,jpj) , diag_trp_vs (jpi,jpj) , diag_trp_ei(jpi,jpj), &
& diag_trp_es(jpi,jpj) , diag_trp_sv (jpi,jpj) , diag_heat (jpi,jpj), &
& diag_sice (jpi,jpj) , diag_vice (jpi,jpj) , diag_vsnw (jpi,jpj), diag_aice(jpi,jpj), diag_vpnd(jpi,jpj), &
& diag_adv_mass(jpi,jpj), diag_adv_salt(jpi,jpj), diag_adv_heat(jpi,jpj), STAT=ierr(ii) )
! * Ice conservation
ii = ii + 1
ALLOCATE( diag_v (jpi,jpj) , diag_s (jpi,jpj) , diag_t (jpi,jpj), &
& diag_fv(jpi,jpj) , diag_fs(jpi,jpj) , diag_ft(jpi,jpj), STAT=ierr(ii) )
! * SIMIP diagnostics
ii = ii + 1
ALLOCATE( t_si(jpi,jpj,jpl) , tm_si(jpi,jpj) , qcn_ice_bot(jpi,jpj,jpl) , qcn_ice_top(jpi,jpj,jpl) , STAT = ierr(ii) )
ice_alloc = MAXVAL( ierr(:) )
IF( ice_alloc /= 0 ) CALL ctl_stop( 'STOP', 'ice_alloc: failed to allocate arrays.' )
!
END FUNCTION ice_alloc
#else
!!----------------------------------------------------------------------
!! Default option Empty module NO SI3 sea-ice model
!!----------------------------------------------------------------------
#endif
!!======================================================================
END MODULE ice