| 1 | MODULE sbcblk |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE sbcblk *** |
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| 4 | !! Ocean forcing: momentum, heat and freshwater flux formulation |
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| 5 | !! Aerodynamic Bulk Formulas |
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| 6 | !! SUCCESSOR OF "sbcblk_core" |
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| 7 | !!===================================================================== |
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| 8 | !! History : 1.0 ! 2004-08 (U. Schweckendiek) Original CORE code |
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| 9 | !! 2.0 ! 2005-04 (L. Brodeau, A.M. Treguier) improved CORE bulk and its user interface |
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| 10 | !! 3.0 ! 2006-06 (G. Madec) sbc rewritting |
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| 11 | !! - ! 2006-12 (L. Brodeau) Original code for turb_core |
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| 12 | !! 3.2 ! 2009-04 (B. Lemaire) Introduce iom_put |
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| 13 | !! 3.3 ! 2010-10 (S. Masson) add diurnal cycle |
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| 14 | !! 3.4 ! 2011-11 (C. Harris) Fill arrays required by CICE |
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| 15 | !! 3.7 ! 2014-06 (L. Brodeau) simplification and optimization of CORE bulk |
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| 16 | !! 4.0 ! 2016-06 (L. Brodeau) sbcblk_core becomes sbcblk and is not restricted to the CORE algorithm anymore |
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| 17 | !! ! ==> based on AeroBulk (https://github.com/brodeau/aerobulk/) |
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| 18 | !! 4.0 ! 2016-10 (G. Madec) introduce a sbc_blk_init routine |
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| 19 | !! 4.0 ! 2016-10 (M. Vancoppenolle) Introduce conduction flux emulator (M. Vancoppenolle) |
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| 20 | !!---------------------------------------------------------------------- |
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| 21 | |
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| 22 | !!---------------------------------------------------------------------- |
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| 23 | !! sbc_blk_init : initialisation of the chosen bulk formulation as ocean surface boundary condition |
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| 24 | !! sbc_blk : bulk formulation as ocean surface boundary condition |
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| 25 | !! blk_oce : computes momentum, heat and freshwater fluxes over ocean |
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| 26 | !! sea-ice case only : |
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| 27 | !! blk_ice_tau : provide the air-ice stress |
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| 28 | !! blk_ice_flx : provide the heat and mass fluxes at air-ice interface |
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| 29 | !! blk_ice_qcn : provide ice surface temperature and snow/ice conduction flux (emulating conduction flux) |
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| 30 | !! Cdn10_Lupkes2012 : Lupkes et al. (2012) air-ice drag |
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| 31 | !! Cdn10_Lupkes2015 : Lupkes et al. (2015) air-ice drag |
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| 32 | !!---------------------------------------------------------------------- |
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| 33 | USE oce ! ocean dynamics and tracers |
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| 34 | USE dom_oce ! ocean space and time domain |
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| 35 | USE phycst ! physical constants |
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| 36 | USE fldread ! read input fields |
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| 37 | USE sbc_oce ! Surface boundary condition: ocean fields |
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| 38 | USE cyclone ! Cyclone 10m wind form trac of cyclone centres |
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| 39 | USE sbcdcy ! surface boundary condition: diurnal cycle |
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| 40 | USE sbcwave , ONLY : cdn_wave ! wave module |
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| 41 | USE sbc_ice ! Surface boundary condition: ice fields |
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| 42 | USE lib_fortran ! to use key_nosignedzero |
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| 43 | #if defined key_si3 |
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| 44 | USE ice , ONLY : u_ice, v_ice, jpl, a_i_b, at_i_b, t_su, rn_cnd_s, hfx_err_dif |
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| 45 | USE icethd_dh ! for CALL ice_thd_snwblow |
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| 46 | #endif |
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| 47 | USE sbcblk_algo_ncar ! => turb_ncar : NCAR - CORE (Large & Yeager, 2009) |
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| 48 | USE sbcblk_algo_coare ! => turb_coare : COAREv3.0 (Fairall et al. 2003) |
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| 49 | USE sbcblk_algo_coare3p5 ! => turb_coare3p5 : COAREv3.5 (Edson et al. 2013) |
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| 50 | USE sbcblk_algo_ecmwf ! => turb_ecmwf : ECMWF (IFS cycle 31) |
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| 51 | ! |
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| 52 | USE iom ! I/O manager library |
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| 53 | USE in_out_manager ! I/O manager |
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| 54 | USE lib_mpp ! distribued memory computing library |
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| 55 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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| 56 | USE prtctl ! Print control |
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| 57 | |
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| 58 | USE sbcblk_phy !LB: all thermodynamics functions in the marine boundary layer, rho_air, q_sat, etc... |
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| 59 | |
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| 60 | |
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| 61 | IMPLICIT NONE |
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| 62 | PRIVATE |
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| 63 | |
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| 64 | PUBLIC sbc_blk_init ! called in sbcmod |
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| 65 | PUBLIC sbc_blk ! called in sbcmod |
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| 66 | #if defined key_si3 |
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| 67 | PUBLIC blk_ice_tau ! routine called in icesbc |
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| 68 | PUBLIC blk_ice_flx ! routine called in icesbc |
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| 69 | PUBLIC blk_ice_qcn ! routine called in icesbc |
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| 70 | #endif |
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| 71 | |
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| 72 | INTEGER , PARAMETER :: jpfld =10 ! maximum number of files to read |
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| 73 | INTEGER , PARAMETER :: jp_wndi = 1 ! index of 10m wind velocity (i-component) (m/s) at T-point |
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| 74 | INTEGER , PARAMETER :: jp_wndj = 2 ! index of 10m wind velocity (j-component) (m/s) at T-point |
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| 75 | INTEGER , PARAMETER :: jp_tair = 3 ! index of 10m air temperature (Kelvin) |
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| 76 | INTEGER , PARAMETER :: jp_humi = 4 ! index of specific humidity ( % ) |
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| 77 | INTEGER , PARAMETER :: jp_qsr = 5 ! index of solar heat (W/m2) |
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| 78 | INTEGER , PARAMETER :: jp_qlw = 6 ! index of Long wave (W/m2) |
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| 79 | INTEGER , PARAMETER :: jp_prec = 7 ! index of total precipitation (rain+snow) (Kg/m2/s) |
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| 80 | INTEGER , PARAMETER :: jp_snow = 8 ! index of snow (solid prcipitation) (kg/m2/s) |
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| 81 | INTEGER , PARAMETER :: jp_slp = 9 ! index of sea level pressure (Pa) |
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| 82 | INTEGER , PARAMETER :: jp_tdif =10 ! index of tau diff associated to HF tau (N/m2) at T-point |
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| 83 | |
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| 84 | TYPE(FLD), ALLOCATABLE, DIMENSION(:) :: sf ! structure of input fields (file informations, fields read) |
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| 85 | |
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| 86 | ! !!* Namelist namsbc_blk : bulk parameters |
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| 87 | LOGICAL :: ln_NCAR ! "NCAR" algorithm (Large and Yeager 2008) |
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| 88 | LOGICAL :: ln_COARE_3p0 ! "COARE 3.0" algorithm (Fairall et al. 2003) |
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| 89 | LOGICAL :: ln_COARE_3p5 ! "COARE 3.5" algorithm (Edson et al. 2013) |
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| 90 | LOGICAL :: ln_ECMWF ! "ECMWF" algorithm (IFS cycle 31) |
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| 91 | ! |
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| 92 | LOGICAL :: ln_taudif ! logical flag to use the "mean of stress module - module of mean stress" data |
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| 93 | REAL(wp) :: rn_pfac ! multiplication factor for precipitation |
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| 94 | REAL(wp) :: rn_efac ! multiplication factor for evaporation |
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| 95 | REAL(wp) :: rn_vfac ! multiplication factor for ice/ocean velocity in the calculation of wind stress |
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| 96 | REAL(wp) :: rn_zqt ! z(q,t) : height of humidity and temperature measurements |
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| 97 | REAL(wp) :: rn_zu ! z(u) : height of wind measurements |
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| 98 | !!gm ref namelist initialize it so remove the setting to false below |
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| 99 | LOGICAL :: ln_Cd_L12 = .FALSE. ! Modify the drag ice-atm depending on ice concentration (from Lupkes et al. JGR2012) |
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| 100 | LOGICAL :: ln_Cd_L15 = .FALSE. ! Modify the drag ice-atm depending on ice concentration (from Lupkes et al. JGR2015) |
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| 101 | ! |
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| 102 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: Cd_atm ! transfer coefficient for momentum (tau) |
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| 103 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: Ch_atm ! transfer coefficient for sensible heat (Q_sens) |
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| 104 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: Ce_atm ! tansfert coefficient for evaporation (Q_lat) |
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| 105 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: t_zu ! air temperature at wind speed height (needed by Lupkes 2015 bulk scheme) |
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| 106 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: q_zu ! air spec. hum. at wind speed height (needed by Lupkes 2015 bulk scheme) |
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| 107 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: cdn_oce, chn_oce, cen_oce ! needed by Lupkes 2015 bulk scheme |
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| 108 | |
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| 109 | !LB: |
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| 110 | LOGICAL :: ln_skin ! use the cool-skin / warm-layer parameterization (only available in ECMWF and COARE algorithms) !LB |
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| 111 | LOGICAL :: ln_humi_dpt ! humidity read in files ("sn_humi") is dew-point temperature if .true. (specific humidity espected if .false.) !LB |
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| 112 | !LB. |
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| 113 | |
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| 114 | INTEGER :: nblk ! choice of the bulk algorithm |
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| 115 | ! ! associated indices: |
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| 116 | INTEGER, PARAMETER :: np_NCAR = 1 ! "NCAR" algorithm (Large and Yeager 2008) |
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| 117 | INTEGER, PARAMETER :: np_COARE_3p0 = 2 ! "COARE 3.0" algorithm (Fairall et al. 2003) |
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| 118 | INTEGER, PARAMETER :: np_COARE_3p5 = 3 ! "COARE 3.5" algorithm (Edson et al. 2013) |
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| 119 | INTEGER, PARAMETER :: np_ECMWF = 4 ! "ECMWF" algorithm (IFS cycle 31) |
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| 120 | |
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| 121 | !! * Substitutions |
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| 122 | # include "vectopt_loop_substitute.h90" |
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| 123 | !!---------------------------------------------------------------------- |
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| 124 | !! NEMO/OCE 4.0 , NEMO Consortium (2018) |
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| 125 | !! $Id$ |
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| 126 | !! Software governed by the CeCILL license (see ./LICENSE) |
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| 127 | !!---------------------------------------------------------------------- |
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| 128 | CONTAINS |
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| 129 | |
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| 130 | INTEGER FUNCTION sbc_blk_alloc() |
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| 131 | !!------------------------------------------------------------------- |
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| 132 | !! *** ROUTINE sbc_blk_alloc *** |
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| 133 | !!------------------------------------------------------------------- |
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| 134 | ALLOCATE( Cd_atm (jpi,jpj), Ch_atm (jpi,jpj), Ce_atm (jpi,jpj), t_zu(jpi,jpj), q_zu(jpi,jpj), & |
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| 135 | & cdn_oce(jpi,jpj), chn_oce(jpi,jpj), cen_oce(jpi,jpj), STAT=sbc_blk_alloc ) |
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| 136 | ! |
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| 137 | CALL mpp_sum ( 'sbcblk', sbc_blk_alloc ) |
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| 138 | IF( sbc_blk_alloc /= 0 ) CALL ctl_stop( 'STOP', 'sbc_blk_alloc: failed to allocate arrays' ) |
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| 139 | END FUNCTION sbc_blk_alloc |
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| 140 | |
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| 141 | !LB: |
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| 142 | INTEGER FUNCTION sbc_blk_cswl_alloc() |
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| 143 | !!------------------------------------------------------------------- |
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| 144 | !! *** ROUTINE sbc_blk_cswl_alloc *** |
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| 145 | !!------------------------------------------------------------------- |
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| 146 | !PRINT *, '*** LB: allocating tsk!' |
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| 147 | ALLOCATE( tsk(jpi,jpj), STAT=sbc_blk_cswl_alloc ) |
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| 148 | !PRINT *, '*** LB: done!' |
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| 149 | CALL mpp_sum ( 'sbcblk', sbc_blk_cswl_alloc ) |
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| 150 | IF( sbc_blk_cswl_alloc /= 0 ) CALL ctl_stop( 'STOP', 'sbc_blk_cswl_alloc: failed to allocate arrays' ) |
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| 151 | END FUNCTION sbc_blk_cswl_alloc |
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| 152 | !LB. |
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| 153 | |
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| 154 | |
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| 155 | SUBROUTINE sbc_blk_init |
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| 156 | !!--------------------------------------------------------------------- |
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| 157 | !! *** ROUTINE sbc_blk_init *** |
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| 158 | !! |
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| 159 | !! ** Purpose : choose and initialize a bulk formulae formulation |
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| 160 | !! |
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| 161 | !! ** Method : |
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| 162 | !! |
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| 163 | !!---------------------------------------------------------------------- |
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| 164 | INTEGER :: ifpr, jfld ! dummy loop indice and argument |
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| 165 | INTEGER :: ios, ierror, ioptio ! Local integer |
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| 166 | !! |
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| 167 | CHARACTER(len=100) :: cn_dir ! Root directory for location of atmospheric forcing files |
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| 168 | TYPE(FLD_N), DIMENSION(jpfld) :: slf_i ! array of namelist informations on the fields to read |
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| 169 | TYPE(FLD_N) :: sn_wndi, sn_wndj, sn_humi, sn_qsr ! informations about the fields to be read |
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| 170 | TYPE(FLD_N) :: sn_qlw , sn_tair, sn_prec, sn_snow ! " " |
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| 171 | TYPE(FLD_N) :: sn_slp , sn_tdif ! " " |
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| 172 | NAMELIST/namsbc_blk/ sn_wndi, sn_wndj, sn_humi, sn_qsr, sn_qlw , & ! input fields |
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| 173 | & sn_tair, sn_prec, sn_snow, sn_slp, sn_tdif, & |
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| 174 | & ln_NCAR, ln_COARE_3p0, ln_COARE_3p5, ln_ECMWF, & ! bulk algorithm |
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| 175 | & cn_dir , ln_taudif, rn_zqt, rn_zu, & |
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| 176 | & rn_pfac, rn_efac, rn_vfac, ln_Cd_L12, ln_Cd_L15, & |
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| 177 | & ln_skin, ln_humi_dpt ! cool-skin / warm-layer param. !LB |
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| 178 | !!--------------------------------------------------------------------- |
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| 179 | ! |
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| 180 | ! ! allocate sbc_blk_core array |
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| 181 | IF( sbc_blk_alloc() /= 0 ) CALL ctl_stop( 'STOP', 'sbc_blk : unable to allocate standard arrays' ) |
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| 182 | ! |
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| 183 | ! !** read bulk namelist |
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| 184 | REWIND( numnam_ref ) !* Namelist namsbc_blk in reference namelist : bulk parameters |
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| 185 | READ ( numnam_ref, namsbc_blk, IOSTAT = ios, ERR = 901) |
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| 186 | 901 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namsbc_blk in reference namelist', lwp ) |
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| 187 | ! |
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| 188 | REWIND( numnam_cfg ) !* Namelist namsbc_blk in configuration namelist : bulk parameters |
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| 189 | READ ( numnam_cfg, namsbc_blk, IOSTAT = ios, ERR = 902 ) |
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| 190 | 902 IF( ios > 0 ) CALL ctl_nam ( ios , 'namsbc_blk in configuration namelist', lwp ) |
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| 191 | ! |
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| 192 | IF(lwm) WRITE( numond, namsbc_blk ) |
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| 193 | ! |
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| 194 | ! !** initialization of the chosen bulk formulae (+ check) |
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| 195 | ! !* select the bulk chosen in the namelist and check the choice |
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| 196 | ioptio = 0 |
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| 197 | IF( ln_NCAR ) THEN ; nblk = np_NCAR ; ioptio = ioptio + 1 ; ENDIF |
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| 198 | IF( ln_COARE_3p0 ) THEN ; nblk = np_COARE_3p0 ; ioptio = ioptio + 1 ; ENDIF |
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| 199 | IF( ln_COARE_3p5 ) THEN ; nblk = np_COARE_3p5 ; ioptio = ioptio + 1 ; ENDIF |
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| 200 | IF( ln_ECMWF ) THEN ; nblk = np_ECMWF ; ioptio = ioptio + 1 ; ENDIF |
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| 201 | ! |
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| 202 | !LB: |
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| 203 | ! !** initialization of the cool-skin / warm-layer parametrization |
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| 204 | IF( ln_skin ) THEN |
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| 205 | IF ( ln_NCAR ) CALL ctl_stop( 'sbc_blk_init: Cool-skin/warm-layer param. not compatible with NCAR algorithm!' ) |
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| 206 | ! ! allocate array(s) for cool-skin/warm-layer param. |
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| 207 | IF( sbc_blk_cswl_alloc() /= 0 ) CALL ctl_stop( 'STOP', 'sbc_blk : unable to allocate standard arrays' ) |
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| 208 | END IF |
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| 209 | !LB. |
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| 210 | |
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| 211 | IF( ioptio /= 1 ) CALL ctl_stop( 'sbc_blk_init: Choose one and only one bulk algorithm' ) |
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| 212 | ! |
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| 213 | IF( ln_dm2dc ) THEN !* check: diurnal cycle on Qsr |
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| 214 | IF( sn_qsr%nfreqh /= 24 ) CALL ctl_stop( 'sbc_blk_init: ln_dm2dc=T only with daily short-wave input' ) |
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| 215 | IF( sn_qsr%ln_tint ) THEN |
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| 216 | CALL ctl_warn( 'sbc_blk_init: ln_dm2dc=T daily qsr time interpolation done by sbcdcy module', & |
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| 217 | & ' ==> We force time interpolation = .false. for qsr' ) |
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| 218 | sn_qsr%ln_tint = .false. |
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| 219 | ENDIF |
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| 220 | ENDIF |
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| 221 | ! !* set the bulk structure |
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| 222 | ! !- store namelist information in an array |
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| 223 | slf_i(jp_wndi) = sn_wndi ; slf_i(jp_wndj) = sn_wndj |
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| 224 | slf_i(jp_qsr ) = sn_qsr ; slf_i(jp_qlw ) = sn_qlw |
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| 225 | slf_i(jp_tair) = sn_tair ; slf_i(jp_humi) = sn_humi |
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| 226 | slf_i(jp_prec) = sn_prec ; slf_i(jp_snow) = sn_snow |
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| 227 | slf_i(jp_slp) = sn_slp ; slf_i(jp_tdif) = sn_tdif |
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| 228 | ! |
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| 229 | lhftau = ln_taudif !- add an extra field if HF stress is used |
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| 230 | jfld = jpfld - COUNT( (/.NOT.lhftau/) ) |
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| 231 | ! |
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| 232 | ! !- allocate the bulk structure |
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| 233 | ALLOCATE( sf(jfld), STAT=ierror ) |
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| 234 | IF( ierror > 0 ) CALL ctl_stop( 'STOP', 'sbc_blk_init: unable to allocate sf structure' ) |
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| 235 | DO ifpr= 1, jfld |
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| 236 | ALLOCATE( sf(ifpr)%fnow(jpi,jpj,1) ) |
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| 237 | IF( slf_i(ifpr)%ln_tint ) ALLOCATE( sf(ifpr)%fdta(jpi,jpj,1,2) ) |
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| 238 | IF( slf_i(ifpr)%nfreqh > 0. .AND. MOD( 3600. * slf_i(ifpr)%nfreqh , REAL(nn_fsbc) * rdt) /= 0. ) & |
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| 239 | & CALL ctl_warn( 'sbc_blk_init: sbcmod timestep rdt*nn_fsbc is NOT a submultiple of atmospheric forcing frequency.', & |
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| 240 | & ' This is not ideal. You should consider changing either rdt or nn_fsbc value...' ) |
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| 241 | |
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| 242 | END DO |
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| 243 | ! !- fill the bulk structure with namelist informations |
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| 244 | CALL fld_fill( sf, slf_i, cn_dir, 'sbc_blk_init', 'surface boundary condition -- bulk formulae', 'namsbc_blk' ) |
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| 245 | ! |
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| 246 | IF ( ln_wave ) THEN |
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| 247 | !Activated wave module but neither drag nor stokes drift activated |
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| 248 | IF ( .NOT.(ln_cdgw .OR. ln_sdw .OR. ln_tauwoc .OR. ln_stcor ) ) THEN |
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| 249 | CALL ctl_stop( 'STOP', 'Ask for wave coupling but ln_cdgw=F, ln_sdw=F, ln_tauwoc=F, ln_stcor=F' ) |
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| 250 | !drag coefficient read from wave model definable only with mfs bulk formulae and core |
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| 251 | ELSEIF (ln_cdgw .AND. .NOT. ln_NCAR ) THEN |
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| 252 | CALL ctl_stop( 'drag coefficient read from wave model definable only with NCAR and CORE bulk formulae') |
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| 253 | ELSEIF (ln_stcor .AND. .NOT. ln_sdw) THEN |
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| 254 | CALL ctl_stop( 'Stokes-Coriolis term calculated only if activated Stokes Drift ln_sdw=T') |
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| 255 | ENDIF |
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| 256 | ELSE |
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| 257 | IF ( ln_cdgw .OR. ln_sdw .OR. ln_tauwoc .OR. ln_stcor ) & |
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| 258 | & CALL ctl_stop( 'Not Activated Wave Module (ln_wave=F) but asked coupling ', & |
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| 259 | & 'with drag coefficient (ln_cdgw =T) ' , & |
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| 260 | & 'or Stokes Drift (ln_sdw=T) ' , & |
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| 261 | & 'or ocean stress modification due to waves (ln_tauwoc=T) ', & |
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| 262 | & 'or Stokes-Coriolis term (ln_stcori=T)' ) |
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| 263 | ENDIF |
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| 264 | ! |
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| 265 | ! |
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| 266 | IF(lwp) THEN !** Control print |
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| 267 | ! |
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| 268 | WRITE(numout,*) !* namelist |
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| 269 | WRITE(numout,*) ' Namelist namsbc_blk (other than data information):' |
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| 270 | WRITE(numout,*) ' "NCAR" algorithm (Large and Yeager 2008) ln_NCAR = ', ln_NCAR |
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| 271 | WRITE(numout,*) ' "COARE 3.0" algorithm (Fairall et al. 2003) ln_COARE_3p0 = ', ln_COARE_3p0 |
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| 272 | WRITE(numout,*) ' "COARE 3.5" algorithm (Edson et al. 2013) ln_COARE_3p5 = ', ln_COARE_3p0 |
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| 273 | WRITE(numout,*) ' "ECMWF" algorithm (IFS cycle 31) ln_ECMWF = ', ln_ECMWF |
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| 274 | WRITE(numout,*) ' add High freq.contribution to the stress module ln_taudif = ', ln_taudif |
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| 275 | WRITE(numout,*) ' Air temperature and humidity reference height (m) rn_zqt = ', rn_zqt |
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| 276 | WRITE(numout,*) ' Wind vector reference height (m) rn_zu = ', rn_zu |
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| 277 | WRITE(numout,*) ' factor applied on precipitation (total & snow) rn_pfac = ', rn_pfac |
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| 278 | WRITE(numout,*) ' factor applied on evaporation rn_efac = ', rn_efac |
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| 279 | WRITE(numout,*) ' factor applied on ocean/ice velocity rn_vfac = ', rn_vfac |
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| 280 | WRITE(numout,*) ' (form absolute (=0) to relative winds(=1))' |
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| 281 | WRITE(numout,*) ' use ice-atm drag from Lupkes2012 ln_Cd_L12 = ', ln_Cd_L12 |
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| 282 | WRITE(numout,*) ' use ice-atm drag from Lupkes2015 ln_Cd_L15 = ', ln_Cd_L15 |
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| 283 | ! |
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| 284 | WRITE(numout,*) |
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| 285 | SELECT CASE( nblk ) !* Print the choice of bulk algorithm |
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| 286 | CASE( np_NCAR ) ; WRITE(numout,*) ' ==>>> "NCAR" algorithm (Large and Yeager 2008)' |
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| 287 | CASE( np_COARE_3p0 ) ; WRITE(numout,*) ' ==>>> "COARE 3.0" algorithm (Fairall et al. 2003)' |
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| 288 | CASE( np_COARE_3p5 ) ; WRITE(numout,*) ' ==>>> "COARE 3.5" algorithm (Edson et al. 2013)' |
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| 289 | CASE( np_ECMWF ) ; WRITE(numout,*) ' ==>>> "ECMWF" algorithm (IFS cycle 31)' |
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| 290 | END SELECT |
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| 291 | ! |
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| 292 | WRITE(numout,*) |
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| 293 | WRITE(numout,*) ' use cool-skin/warm-layer parameterization (SSST) ln_skin = ', ln_skin !LB |
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| 294 | WRITE(numout,*) |
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| 295 | WRITE(numout,*) ' air humidity read in files is dew-point temperature? ln_humi_dpt = ', ln_humi_dpt !LB |
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| 296 | ! |
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| 297 | ENDIF |
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| 298 | ! |
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| 299 | END SUBROUTINE sbc_blk_init |
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| 300 | |
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| 301 | |
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| 302 | SUBROUTINE sbc_blk( kt ) |
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| 303 | !!--------------------------------------------------------------------- |
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| 304 | !! *** ROUTINE sbc_blk *** |
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| 305 | !! |
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| 306 | !! ** Purpose : provide at each time step the surface ocean fluxes |
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| 307 | !! (momentum, heat, freshwater and runoff) |
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| 308 | !! |
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| 309 | !! ** Method : (1) READ each fluxes in NetCDF files: |
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| 310 | !! the 10m wind velocity (i-component) (m/s) at T-point |
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| 311 | !! the 10m wind velocity (j-component) (m/s) at T-point |
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| 312 | !! the 10m or 2m specific humidity ( % ) |
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| 313 | !! the solar heat (W/m2) |
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| 314 | !! the Long wave (W/m2) |
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| 315 | !! the 10m or 2m air temperature (Kelvin) |
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| 316 | !! the total precipitation (rain+snow) (Kg/m2/s) |
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| 317 | !! the snow (solid prcipitation) (kg/m2/s) |
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| 318 | !! the tau diff associated to HF tau (N/m2) at T-point (ln_taudif=T) |
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| 319 | !! (2) CALL blk_oce |
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| 320 | !! |
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| 321 | !! C A U T I O N : never mask the surface stress fields |
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| 322 | !! the stress is assumed to be in the (i,j) mesh referential |
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| 323 | !! |
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| 324 | !! ** Action : defined at each time-step at the air-sea interface |
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| 325 | !! - utau, vtau i- and j-component of the wind stress |
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| 326 | !! - taum wind stress module at T-point |
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| 327 | !! - wndm wind speed module at T-point over free ocean or leads in presence of sea-ice |
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| 328 | !! - qns, qsr non-solar and solar heat fluxes |
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| 329 | !! - emp upward mass flux (evapo. - precip.) |
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| 330 | !! - sfx salt flux due to freezing/melting (non-zero only if ice is present) |
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| 331 | !! |
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| 332 | !! ** References : Large & Yeager, 2004 / Large & Yeager, 2008 |
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| 333 | !! Brodeau et al. Ocean Modelling 2010 |
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| 334 | !!---------------------------------------------------------------------- |
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| 335 | INTEGER, INTENT(in) :: kt ! ocean time step |
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| 336 | !!--------------------------------------------------------------------- |
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| 337 | ! |
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| 338 | CALL fld_read( kt, nn_fsbc, sf ) ! input fields provided at the current time-step |
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| 339 | ! |
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| 340 | ! ! compute the surface ocean fluxes using bulk formulea |
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| 341 | IF( MOD( kt - 1, nn_fsbc ) == 0 ) CALL blk_oce( kt, sf, sst_m, ssu_m, ssv_m ) |
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| 342 | |
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| 343 | #if defined key_cice |
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| 344 | IF( MOD( kt - 1, nn_fsbc ) == 0 ) THEN |
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| 345 | qlw_ice(:,:,1) = sf(jp_qlw )%fnow(:,:,1) |
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| 346 | IF( ln_dm2dc ) THEN ; qsr_ice(:,:,1) = sbc_dcy( sf(jp_qsr)%fnow(:,:,1) ) |
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| 347 | ELSE ; qsr_ice(:,:,1) = sf(jp_qsr)%fnow(:,:,1) |
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| 348 | ENDIF |
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| 349 | tatm_ice(:,:) = sf(jp_tair)%fnow(:,:,1) |
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| 350 | !LB: |
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| 351 | IF ( ln_humi_dpt ) THEN |
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| 352 | qatm_ice(:,:) = q_sat( sf(jp_humi)%fnow(:,:,1), sf(jp_slp)%fnow(:,:,1) ) |
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| 353 | ELSE |
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| 354 | qatm_ice(:,:) = sf(jp_humi)%fnow(:,:,1) |
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| 355 | END IF |
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| 356 | !LB. |
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| 357 | tprecip(:,:) = sf(jp_prec)%fnow(:,:,1) * rn_pfac |
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| 358 | sprecip(:,:) = sf(jp_snow)%fnow(:,:,1) * rn_pfac |
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| 359 | wndi_ice(:,:) = sf(jp_wndi)%fnow(:,:,1) |
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| 360 | wndj_ice(:,:) = sf(jp_wndj)%fnow(:,:,1) |
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| 361 | ENDIF |
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| 362 | #endif |
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| 363 | ! |
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| 364 | END SUBROUTINE sbc_blk |
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| 365 | |
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| 366 | |
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| 367 | SUBROUTINE blk_oce( kt, sf, pst, pu, pv ) |
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| 368 | !!--------------------------------------------------------------------- |
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| 369 | !! *** ROUTINE blk_oce *** |
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| 370 | !! |
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| 371 | !! ** Purpose : provide the momentum, heat and freshwater fluxes at |
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| 372 | !! the ocean surface at each time step |
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| 373 | !! |
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| 374 | !! ** Method : bulk formulea for the ocean using atmospheric |
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| 375 | !! fields read in sbc_read |
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| 376 | !! |
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| 377 | !! ** Outputs : - utau : i-component of the stress at U-point (N/m2) |
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| 378 | !! - vtau : j-component of the stress at V-point (N/m2) |
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| 379 | !! - taum : Wind stress module at T-point (N/m2) |
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| 380 | !! - wndm : Wind speed module at T-point (m/s) |
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| 381 | !! - qsr : Solar heat flux over the ocean (W/m2) |
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| 382 | !! - qns : Non Solar heat flux over the ocean (W/m2) |
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| 383 | !! - emp : evaporation minus precipitation (kg/m2/s) |
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| 384 | !! |
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| 385 | !! ** Nota : sf has to be a dummy argument for AGRIF on NEC |
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| 386 | !!--------------------------------------------------------------------- |
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| 387 | INTEGER , INTENT(in ) :: kt ! time step index |
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| 388 | TYPE(fld), INTENT(inout), DIMENSION(:) :: sf ! input data |
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| 389 | REAL(wp) , INTENT(in) , DIMENSION(:,:) :: pst ! surface temperature [Celcius] |
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| 390 | REAL(wp) , INTENT(in) , DIMENSION(:,:) :: pu ! surface current at U-point (i-component) [m/s] |
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| 391 | REAL(wp) , INTENT(in) , DIMENSION(:,:) :: pv ! surface current at V-point (j-component) [m/s] |
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| 392 | ! |
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| 393 | INTEGER :: ji, jj ! dummy loop indices |
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| 394 | REAL(wp) :: zztmp ! local variable |
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| 395 | REAL(wp), DIMENSION(jpi,jpj) :: zwnd_i, zwnd_j ! wind speed components at T-point |
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| 396 | REAL(wp), DIMENSION(jpi,jpj) :: zsq ! specific humidity at pst [kg/kg] |
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| 397 | REAL(wp), DIMENSION(jpi,jpj) :: zqlw, zqsb ! long wave and sensible heat fluxes |
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| 398 | REAL(wp), DIMENSION(jpi,jpj) :: zqla, zevap ! latent heat fluxes and evaporation |
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| 399 | REAL(wp), DIMENSION(jpi,jpj) :: zst ! surface temperature in Kelvin |
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| 400 | REAL(wp), DIMENSION(jpi,jpj) :: zU_zu ! bulk wind speed at height zu [m/s] |
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| 401 | REAL(wp), DIMENSION(jpi,jpj) :: ztpot ! potential temperature of air at z=rn_zqt [K] |
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| 402 | REAL(wp), DIMENSION(jpi,jpj) :: zqair ! specific humidity of air at z=rn_zqt [kg/kg] !LB |
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| 403 | !!--------------------------------------------------------------------- |
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| 404 | ! |
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| 405 | ! local scalars ( place there for vector optimisation purposes) |
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| 406 | zst(:,:) = pst(:,:) + rt0 ! convert SST from Celcius to Kelvin (and set minimum value far above 0 K) |
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| 407 | |
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| 408 | ! ----------------------------------------------------------------------------- ! |
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| 409 | ! 0 Wind components and module at T-point relative to the moving ocean ! |
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| 410 | ! ----------------------------------------------------------------------------- ! |
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| 411 | |
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| 412 | ! ... components ( U10m - U_oce ) at T-point (unmasked) |
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| 413 | !!gm move zwnd_i (_j) set to zero inside the key_cyclone ??? |
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| 414 | zwnd_i(:,:) = 0._wp |
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| 415 | zwnd_j(:,:) = 0._wp |
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| 416 | #if defined key_cyclone |
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| 417 | CALL wnd_cyc( kt, zwnd_i, zwnd_j ) ! add analytical tropical cyclone (Vincent et al. JGR 2012) |
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| 418 | DO jj = 2, jpjm1 |
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| 419 | DO ji = fs_2, fs_jpim1 ! vect. opt. |
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| 420 | sf(jp_wndi)%fnow(ji,jj,1) = sf(jp_wndi)%fnow(ji,jj,1) + zwnd_i(ji,jj) |
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| 421 | sf(jp_wndj)%fnow(ji,jj,1) = sf(jp_wndj)%fnow(ji,jj,1) + zwnd_j(ji,jj) |
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| 422 | END DO |
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| 423 | END DO |
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| 424 | #endif |
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| 425 | DO jj = 2, jpjm1 |
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| 426 | DO ji = fs_2, fs_jpim1 ! vect. opt. |
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| 427 | zwnd_i(ji,jj) = ( sf(jp_wndi)%fnow(ji,jj,1) - rn_vfac * 0.5 * ( pu(ji-1,jj ) + pu(ji,jj) ) ) |
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| 428 | zwnd_j(ji,jj) = ( sf(jp_wndj)%fnow(ji,jj,1) - rn_vfac * 0.5 * ( pv(ji ,jj-1) + pv(ji,jj) ) ) |
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| 429 | END DO |
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| 430 | END DO |
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| 431 | CALL lbc_lnk_multi( 'sbcblk', zwnd_i, 'T', -1., zwnd_j, 'T', -1. ) |
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| 432 | ! ... scalar wind ( = | U10m - U_oce | ) at T-point (masked) |
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| 433 | wndm(:,:) = SQRT( zwnd_i(:,:) * zwnd_i(:,:) & |
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| 434 | & + zwnd_j(:,:) * zwnd_j(:,:) ) * tmask(:,:,1) |
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| 435 | |
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| 436 | ! ----------------------------------------------------------------------------- ! |
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| 437 | ! I Solar FLUX ! |
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| 438 | ! ----------------------------------------------------------------------------- ! |
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| 439 | |
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| 440 | ! ocean albedo assumed to be constant + modify now Qsr to include the diurnal cycle ! Short Wave |
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| 441 | zztmp = 1. - albo |
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| 442 | IF( ln_dm2dc ) THEN ; qsr(:,:) = zztmp * sbc_dcy( sf(jp_qsr)%fnow(:,:,1) ) * tmask(:,:,1) |
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| 443 | ELSE ; qsr(:,:) = zztmp * sf(jp_qsr)%fnow(:,:,1) * tmask(:,:,1) |
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| 444 | ENDIF |
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| 445 | |
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| 446 | |
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| 447 | ! ----------------------------------------------------------------------------- ! |
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| 448 | ! II Turbulent FLUXES ! |
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| 449 | ! ----------------------------------------------------------------------------- ! |
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| 450 | |
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| 451 | ! ... specific humidity at SST and IST tmask( |
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| 452 | zsq(:,:) = rdct_qsat_salt * q_sat( zst(:,:), sf(jp_slp)%fnow(:,:,1) ) |
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| 453 | |
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| 454 | !LB: |
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| 455 | ! spec. hum. of air at "rn_zqt" m above thes sea: |
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| 456 | IF ( ln_humi_dpt ) THEN |
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| 457 | ! spec. hum. of air is deduced from dew-point temperature and SLP: q_air = q_sat( d_air, slp) |
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| 458 | IF (lwp) PRINT *, ' *** LB(sbcblk.F90) => computing q_air out of d_air and slp !' |
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| 459 | zqair(:,:) = q_sat( sf(jp_humi)%fnow(:,:,1), sf(jp_slp)%fnow(:,:,1) ) |
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| 460 | ELSE |
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| 461 | zqair(:,:) = sf(jp_humi)%fnow(:,:,1) ! what we read in file is already a spec. humidity! |
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| 462 | END IF |
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| 463 | !LB. |
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| 464 | |
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| 465 | !! Estimate of potential temperature at z=rn_zqt, based on adiabatic lapse-rate |
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| 466 | !! (see Josey, Gulev & Yu, 2013) / doi=10.1016/B978-0-12-391851-2.00005-2 |
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| 467 | !! (since reanalysis products provide T at z, not theta !) |
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| 468 | ztpot = sf(jp_tair)%fnow(:,:,1) + gamma_moist( sf(jp_tair)%fnow(:,:,1), zqair(:,:) ) * rn_zqt |
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| 469 | |
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| 470 | SELECT CASE( nblk ) !== transfer coefficients ==! Cd, Ch, Ce at T-point |
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| 471 | ! |
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| 472 | CASE( np_NCAR ) ; CALL turb_ncar ( rn_zqt, rn_zu, zst, ztpot, zsq, zqair, wndm, & ! NCAR-COREv2 |
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| 473 | & Cd_atm, Ch_atm, Ce_atm, t_zu, q_zu, zU_zu, cdn_oce, chn_oce, cen_oce ) |
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| 474 | CASE( np_COARE_3p0 ) ; CALL turb_coare ( rn_zqt, rn_zu, zst, ztpot, zsq, zqair, wndm, & ! COARE v3.0 |
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| 475 | & Cd_atm, Ch_atm, Ce_atm, t_zu, q_zu, zU_zu, cdn_oce, chn_oce, cen_oce ) |
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| 476 | CASE( np_COARE_3p5 ) ; CALL turb_coare3p5( rn_zqt, rn_zu, zst, ztpot, zsq, zqair, wndm, & ! COARE v3.5 |
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| 477 | & Cd_atm, Ch_atm, Ce_atm, t_zu, q_zu, zU_zu, cdn_oce, chn_oce, cen_oce ) |
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| 478 | |
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| 479 | !LB: Skin!!! |
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| 480 | CASE( np_ECMWF ) |
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| 481 | IF ( ln_skin ) THEN |
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| 482 | !IF (lwp) PRINT *, ' *** LB(sbcblk.F90) => calling "turb_ecmwf" WITH CSWL optional arrays!!!' |
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| 483 | !IF (lwp) PRINT *, ' *** LB(sbcblk.F90) => BEFORE ZST(40:50,30) =', zst(40:50,30) |
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| 484 | CALL turb_ecmwf ( rn_zqt, rn_zu, zst, ztpot, zsq, zqair, wndm, & ! ECMWF |
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| 485 | & Cd_atm, Ch_atm, Ce_atm, t_zu, q_zu, zU_zu, cdn_oce, chn_oce, cen_oce, & |
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| 486 | & Qsw=qsr(:,:), rad_lw=sf(jp_qlw)%fnow(:,:,1), slp=sf(jp_slp)%fnow(:,:,1)) |
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| 487 | !LB: "zst" and "zsq" have been updated with skin temp. !!! (from bulk SST)... |
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| 488 | zst(:,:) = zst(:,:)*tmask(:,:,1) |
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| 489 | zsq(:,:) = zsq(:,:)*tmask(:,:,1) |
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| 490 | !IF (lwp) PRINT *, ' *** LB(sbcblk.F90) => AFTER ZST(40:50,30) =', zst(40:50,30) |
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| 491 | ELSE |
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| 492 | IF (lwp) PRINT *, ' *** LB(sbcblk.F90) => calling "turb_ecmwf" WITHOUT CSWL optional arrays!!!' |
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| 493 | CALL turb_ecmwf ( rn_zqt, rn_zu, zst, ztpot, zsq, zqair, wndm, & ! ECMWF |
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| 494 | & Cd_atm, Ch_atm, Ce_atm, t_zu, q_zu, zU_zu, cdn_oce, chn_oce, cen_oce ) |
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| 495 | END IF |
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| 496 | !LB. |
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| 497 | |
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| 498 | CASE DEFAULT |
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| 499 | CALL ctl_stop( 'STOP', 'sbc_oce: non-existing bulk formula selected' ) |
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| 500 | END SELECT |
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| 501 | |
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| 502 | |
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| 503 | !LB: cool-skin/warm-layer: |
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| 504 | IF ( ln_skin ) tsk(:,:) = zst(:,:) |
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| 505 | |
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| 506 | |
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| 507 | ! ! Compute true air density : |
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| 508 | IF( ABS(rn_zu - rn_zqt) > 0.01 ) THEN ! At zu: (probably useless to remove rhoa*grav*rn_zu from SLP...) |
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| 509 | rhoa(:,:) = rho_air( t_zu(:,:) , q_zu(:,:) , sf(jp_slp)%fnow(:,:,1) ) |
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| 510 | ELSE ! At zt: |
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| 511 | rhoa(:,:) = rho_air( sf(jp_tair)%fnow(:,:,1), zqair(:,:), sf(jp_slp)%fnow(:,:,1) ) |
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| 512 | END IF |
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| 513 | |
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| 514 | !! CALL iom_put( "Cd_oce", Cd_atm) ! output value of pure ocean-atm. transfer coef. |
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| 515 | !! CALL iom_put( "Ch_oce", Ch_atm) ! output value of pure ocean-atm. transfer coef. |
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| 516 | |
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| 517 | DO jj = 1, jpj ! tau module, i and j component |
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| 518 | DO ji = 1, jpi |
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| 519 | zztmp = rhoa(ji,jj) * zU_zu(ji,jj) * Cd_atm(ji,jj) ! using bulk wind speed |
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| 520 | taum (ji,jj) = zztmp * wndm (ji,jj) |
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| 521 | zwnd_i(ji,jj) = zztmp * zwnd_i(ji,jj) |
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| 522 | zwnd_j(ji,jj) = zztmp * zwnd_j(ji,jj) |
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| 523 | END DO |
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| 524 | END DO |
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| 525 | |
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| 526 | ! ! add the HF tau contribution to the wind stress module |
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| 527 | IF( lhftau ) taum(:,:) = taum(:,:) + sf(jp_tdif)%fnow(:,:,1) |
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| 528 | |
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| 529 | CALL iom_put( "taum_oce", taum ) ! output wind stress module |
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| 530 | |
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| 531 | ! ... utau, vtau at U- and V_points, resp. |
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| 532 | ! Note the use of 0.5*(2-umask) in order to unmask the stress along coastlines |
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| 533 | ! Note the use of MAX(tmask(i,j),tmask(i+1,j) is to mask tau over ice shelves |
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| 534 | DO jj = 1, jpjm1 |
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| 535 | DO ji = 1, fs_jpim1 |
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| 536 | utau(ji,jj) = 0.5 * ( 2. - umask(ji,jj,1) ) * ( zwnd_i(ji,jj) + zwnd_i(ji+1,jj ) ) & |
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| 537 | & * MAX(tmask(ji,jj,1),tmask(ji+1,jj,1)) |
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| 538 | vtau(ji,jj) = 0.5 * ( 2. - vmask(ji,jj,1) ) * ( zwnd_j(ji,jj) + zwnd_j(ji ,jj+1) ) & |
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| 539 | & * MAX(tmask(ji,jj,1),tmask(ji,jj+1,1)) |
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| 540 | END DO |
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| 541 | END DO |
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| 542 | CALL lbc_lnk_multi( 'sbcblk', utau, 'U', -1., vtau, 'V', -1. ) |
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| 543 | |
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| 544 | ! Turbulent fluxes over ocean |
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| 545 | ! ----------------------------- |
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| 546 | |
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| 547 | ! zqla used as temporary array, for rho*U (common term of bulk formulae): |
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| 548 | zqla(:,:) = rhoa(:,:) * zU_zu(:,:) * tmask(:,:,1) |
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| 549 | |
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| 550 | IF( ABS( rn_zu - rn_zqt) < 0.01_wp ) THEN |
|---|
| 551 | !! q_air and t_air are given at 10m (wind reference height) |
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| 552 | zevap(:,:) = rn_efac*MAX( 0._wp, zqla(:,:)*Ce_atm(:,:)*(zsq(:,:) - zqair(:,:)) ) ! Evaporation, using bulk wind speed |
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| 553 | zqsb (:,:) = cp_air(zqair(:,:))*zqla(:,:)*Ch_atm(:,:)*(zst(:,:) - ztpot(:,:) ) ! Sensible Heat, using bulk wind speed |
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| 554 | ELSE |
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| 555 | !! q_air and t_air are not given at 10m (wind reference height) |
|---|
| 556 | ! Values of temp. and hum. adjusted to height of wind during bulk algorithm iteration must be used!!! |
|---|
| 557 | zevap(:,:) = rn_efac*MAX( 0._wp, zqla(:,:)*Ce_atm(:,:)*(zsq(:,:) - q_zu(:,:) ) ) ! Evaporation, using bulk wind speed |
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| 558 | zqsb (:,:) = cp_air(zqair(:,:))*zqla(:,:)*Ch_atm(:,:)*(zst(:,:) - t_zu(:,:) ) ! Sensible Heat, using bulk wind speed |
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| 559 | ENDIF |
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| 560 | |
|---|
| 561 | zqla(:,:) = L_vap(zst(:,:)) * zevap(:,:) ! Latent Heat flux |
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| 562 | |
|---|
| 563 | |
|---|
| 564 | ! ----------------------------------------------------------------------------- ! |
|---|
| 565 | ! III Net longwave radiative FLUX ! |
|---|
| 566 | ! ----------------------------------------------------------------------------- ! |
|---|
| 567 | |
|---|
| 568 | !! LB: now after Turbulent fluxes because must use the skin temperature rather that the SST ! (zst is skin temperature if ln_skin==.TRUE.) |
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| 569 | zqlw(:,:) = ( sf(jp_qlw)%fnow(:,:,1) - emiss_w * stefan * zst(:,:)*zst(:,:)*zst(:,:)*zst(:,:) ) * tmask(:,:,1) ! Long Wave |
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| 570 | |
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| 571 | |
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| 572 | IF(ln_ctl) THEN |
|---|
| 573 | CALL prt_ctl( tab2d_1=zqla , clinfo1=' blk_oce: zqla : ', tab2d_2=Ce_atm , clinfo2=' Ce_oce : ' ) |
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| 574 | CALL prt_ctl( tab2d_1=zqsb , clinfo1=' blk_oce: zqsb : ', tab2d_2=Ch_atm , clinfo2=' Ch_oce : ' ) |
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| 575 | CALL prt_ctl( tab2d_1=zqlw , clinfo1=' blk_oce: zqlw : ', tab2d_2=qsr, clinfo2=' qsr : ' ) |
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| 576 | CALL prt_ctl( tab2d_1=zsq , clinfo1=' blk_oce: zsq : ', tab2d_2=zst, clinfo2=' zst : ' ) |
|---|
| 577 | CALL prt_ctl( tab2d_1=utau , clinfo1=' blk_oce: utau : ', mask1=umask, & |
|---|
| 578 | & tab2d_2=vtau , clinfo2= ' vtau : ', mask2=vmask ) |
|---|
| 579 | CALL prt_ctl( tab2d_1=wndm , clinfo1=' blk_oce: wndm : ') |
|---|
| 580 | CALL prt_ctl( tab2d_1=zst , clinfo1=' blk_oce: zst : ') |
|---|
| 581 | ENDIF |
|---|
| 582 | |
|---|
| 583 | ! ----------------------------------------------------------------------------- ! |
|---|
| 584 | ! IV Total FLUXES ! |
|---|
| 585 | ! ----------------------------------------------------------------------------- ! |
|---|
| 586 | ! |
|---|
| 587 | emp (:,:) = ( zevap(:,:) & ! mass flux (evap. - precip.) |
|---|
| 588 | & - sf(jp_prec)%fnow(:,:,1) * rn_pfac ) * tmask(:,:,1) |
|---|
| 589 | ! |
|---|
| 590 | qns(:,:) = zqlw(:,:) - zqsb(:,:) - zqla(:,:) & ! Downward Non Solar |
|---|
| 591 | & - sf(jp_snow)%fnow(:,:,1) * rn_pfac * rLfus & ! remove latent melting heat for solid precip |
|---|
| 592 | & - zevap(:,:) * pst(:,:) * rcp & ! remove evap heat content at SST !LB??? pst is Celsius !? |
|---|
| 593 | & + ( sf(jp_prec)%fnow(:,:,1) - sf(jp_snow)%fnow(:,:,1) ) * rn_pfac & ! add liquid precip heat content at Tair |
|---|
| 594 | & * ( sf(jp_tair)%fnow(:,:,1) - rt0 ) * rcp & |
|---|
| 595 | & + sf(jp_snow)%fnow(:,:,1) * rn_pfac & ! add solid precip heat content at min(Tair,Tsnow) |
|---|
| 596 | & * ( MIN( sf(jp_tair)%fnow(:,:,1), rt0 ) - rt0 ) * rcpi |
|---|
| 597 | qns(:,:) = qns(:,:) * tmask(:,:,1) |
|---|
| 598 | ! |
|---|
| 599 | #if defined key_si3 |
|---|
| 600 | qns_oce(:,:) = zqlw(:,:) - zqsb(:,:) - zqla(:,:) ! non solar without emp (only needed by SI3) |
|---|
| 601 | qsr_oce(:,:) = qsr(:,:) |
|---|
| 602 | #endif |
|---|
| 603 | ! |
|---|
| 604 | !!#LB: NO WHY???? IF ( nn_ice == 0 ) THEN |
|---|
| 605 | CALL iom_put( "rho_air" , rhoa ) ! output air density (kg/m^3) !#LB |
|---|
| 606 | CALL iom_put( "qlw_oce" , zqlw ) ! output downward longwave heat over the ocean |
|---|
| 607 | CALL iom_put( "qsb_oce" , - zqsb ) ! output downward sensible heat over the ocean |
|---|
| 608 | CALL iom_put( "qla_oce" , - zqla ) ! output downward latent heat over the ocean |
|---|
| 609 | CALL iom_put( "qemp_oce", qns-zqlw+zqsb+zqla ) ! output downward heat content of E-P over the ocean |
|---|
| 610 | CALL iom_put( "qns_oce" , qns ) ! output downward non solar heat over the ocean |
|---|
| 611 | CALL iom_put( "qsr_oce" , qsr ) ! output downward solar heat over the ocean |
|---|
| 612 | CALL iom_put( "qt_oce" , qns+qsr ) ! output total downward heat over the ocean |
|---|
| 613 | tprecip(:,:) = sf(jp_prec)%fnow(:,:,1) * rn_pfac * tmask(:,:,1) ! output total precipitation [kg/m2/s] |
|---|
| 614 | sprecip(:,:) = sf(jp_snow)%fnow(:,:,1) * rn_pfac * tmask(:,:,1) ! output solid precipitation [kg/m2/s] |
|---|
| 615 | CALL iom_put( 'snowpre', sprecip ) ! Snow |
|---|
| 616 | CALL iom_put( 'precip' , tprecip ) ! Total precipitation |
|---|
| 617 | IF ( ln_skin ) THEN |
|---|
| 618 | CALL iom_put( "t_skin" , (zst - rt0) * tmask(:,:,1) ) ! T_skin in Celsius |
|---|
| 619 | CALL iom_put( "dt_skin" , (zst - pst - rt0) * tmask(:,:,1) ) ! T_skin - SST temperature difference... |
|---|
| 620 | END IF |
|---|
| 621 | !!#LB. ENDIF |
|---|
| 622 | ! |
|---|
| 623 | IF(ln_ctl) THEN |
|---|
| 624 | CALL prt_ctl(tab2d_1=zqsb , clinfo1=' blk_oce: zqsb : ', tab2d_2=zqlw , clinfo2=' zqlw : ') |
|---|
| 625 | CALL prt_ctl(tab2d_1=zqla , clinfo1=' blk_oce: zqla : ', tab2d_2=qsr , clinfo2=' qsr : ') |
|---|
| 626 | CALL prt_ctl(tab2d_1=pst , clinfo1=' blk_oce: pst : ', tab2d_2=emp , clinfo2=' emp : ') |
|---|
| 627 | CALL prt_ctl(tab2d_1=utau , clinfo1=' blk_oce: utau : ', mask1=umask, & |
|---|
| 628 | & tab2d_2=vtau , clinfo2= ' vtau : ' , mask2=vmask ) |
|---|
| 629 | ENDIF |
|---|
| 630 | ! |
|---|
| 631 | END SUBROUTINE blk_oce |
|---|
| 632 | |
|---|
| 633 | |
|---|
| 634 | |
|---|
| 635 | #if defined key_si3 |
|---|
| 636 | !!---------------------------------------------------------------------- |
|---|
| 637 | !! 'key_si3' SI3 sea-ice model |
|---|
| 638 | !!---------------------------------------------------------------------- |
|---|
| 639 | !! blk_ice_tau : provide the air-ice stress |
|---|
| 640 | !! blk_ice_flx : provide the heat and mass fluxes at air-ice interface |
|---|
| 641 | !! blk_ice_qcn : provide ice surface temperature and snow/ice conduction flux (emulating conduction flux) |
|---|
| 642 | !! Cdn10_Lupkes2012 : Lupkes et al. (2012) air-ice drag |
|---|
| 643 | !! Cdn10_Lupkes2015 : Lupkes et al. (2015) air-ice drag |
|---|
| 644 | !!---------------------------------------------------------------------- |
|---|
| 645 | |
|---|
| 646 | SUBROUTINE blk_ice_tau |
|---|
| 647 | !!--------------------------------------------------------------------- |
|---|
| 648 | !! *** ROUTINE blk_ice_tau *** |
|---|
| 649 | !! |
|---|
| 650 | !! ** Purpose : provide the surface boundary condition over sea-ice |
|---|
| 651 | !! |
|---|
| 652 | !! ** Method : compute momentum using bulk formulation |
|---|
| 653 | !! formulea, ice variables and read atmospheric fields. |
|---|
| 654 | !! NB: ice drag coefficient is assumed to be a constant |
|---|
| 655 | !!--------------------------------------------------------------------- |
|---|
| 656 | INTEGER :: ji, jj ! dummy loop indices |
|---|
| 657 | REAL(wp) :: zwndi_f , zwndj_f, zwnorm_f ! relative wind module and components at F-point |
|---|
| 658 | REAL(wp) :: zwndi_t , zwndj_t ! relative wind components at T-point |
|---|
| 659 | !!--------------------------------------------------------------------- |
|---|
| 660 | ! |
|---|
| 661 | ! set transfer coefficients to default sea-ice values |
|---|
| 662 | Cd_atm(:,:) = rCd_ice |
|---|
| 663 | Ch_atm(:,:) = rCd_ice |
|---|
| 664 | Ce_atm(:,:) = rCd_ice |
|---|
| 665 | |
|---|
| 666 | wndm_ice(:,:) = 0._wp !!gm brutal.... |
|---|
| 667 | |
|---|
| 668 | ! ------------------------------------------------------------ ! |
|---|
| 669 | ! Wind module relative to the moving ice ( U10m - U_ice ) ! |
|---|
| 670 | ! ------------------------------------------------------------ ! |
|---|
| 671 | ! C-grid ice dynamics : U & V-points (same as ocean) |
|---|
| 672 | DO jj = 2, jpjm1 |
|---|
| 673 | DO ji = fs_2, fs_jpim1 ! vect. opt. |
|---|
| 674 | zwndi_t = ( sf(jp_wndi)%fnow(ji,jj,1) - rn_vfac * 0.5 * ( u_ice(ji-1,jj ) + u_ice(ji,jj) ) ) |
|---|
| 675 | zwndj_t = ( sf(jp_wndj)%fnow(ji,jj,1) - rn_vfac * 0.5 * ( v_ice(ji ,jj-1) + v_ice(ji,jj) ) ) |
|---|
| 676 | wndm_ice(ji,jj) = SQRT( zwndi_t * zwndi_t + zwndj_t * zwndj_t ) * tmask(ji,jj,1) |
|---|
| 677 | END DO |
|---|
| 678 | END DO |
|---|
| 679 | CALL lbc_lnk( 'sbcblk', wndm_ice, 'T', 1. ) |
|---|
| 680 | ! |
|---|
| 681 | ! Make ice-atm. drag dependent on ice concentration |
|---|
| 682 | IF ( ln_Cd_L12 ) THEN ! calculate new drag from Lupkes(2012) equations |
|---|
| 683 | CALL Cdn10_Lupkes2012( Cd_atm ) |
|---|
| 684 | Ch_atm(:,:) = Cd_atm(:,:) ! momentum and heat transfer coef. are considered identical |
|---|
| 685 | ELSEIF( ln_Cd_L15 ) THEN ! calculate new drag from Lupkes(2015) equations |
|---|
| 686 | CALL Cdn10_Lupkes2015( Cd_atm, Ch_atm ) |
|---|
| 687 | ENDIF |
|---|
| 688 | |
|---|
| 689 | !! CALL iom_put( "rCd_ice", Cd_atm) ! output value of pure ice-atm. transfer coef. |
|---|
| 690 | !! CALL iom_put( "Ch_ice", Ch_atm) ! output value of pure ice-atm. transfer coef. |
|---|
| 691 | |
|---|
| 692 | ! local scalars ( place there for vector optimisation purposes) |
|---|
| 693 | |
|---|
| 694 | !!gm brutal.... |
|---|
| 695 | utau_ice (:,:) = 0._wp |
|---|
| 696 | vtau_ice (:,:) = 0._wp |
|---|
| 697 | !!gm end |
|---|
| 698 | |
|---|
| 699 | ! ------------------------------------------------------------ ! |
|---|
| 700 | ! Wind stress relative to the moving ice ( U10m - U_ice ) ! |
|---|
| 701 | ! ------------------------------------------------------------ ! |
|---|
| 702 | ! C-grid ice dynamics : U & V-points (same as ocean) |
|---|
| 703 | DO jj = 2, jpjm1 |
|---|
| 704 | DO ji = fs_2, fs_jpim1 ! vect. opt. |
|---|
| 705 | utau_ice(ji,jj) = 0.5 * rhoa(ji,jj) * Cd_atm(ji,jj) * ( wndm_ice(ji+1,jj ) + wndm_ice(ji,jj) ) & |
|---|
| 706 | & * ( 0.5 * (sf(jp_wndi)%fnow(ji+1,jj,1) + sf(jp_wndi)%fnow(ji,jj,1) ) - rn_vfac * u_ice(ji,jj) ) |
|---|
| 707 | vtau_ice(ji,jj) = 0.5 * rhoa(ji,jj) * Cd_atm(ji,jj) * ( wndm_ice(ji,jj+1 ) + wndm_ice(ji,jj) ) & |
|---|
| 708 | & * ( 0.5 * (sf(jp_wndj)%fnow(ji,jj+1,1) + sf(jp_wndj)%fnow(ji,jj,1) ) - rn_vfac * v_ice(ji,jj) ) |
|---|
| 709 | END DO |
|---|
| 710 | END DO |
|---|
| 711 | CALL lbc_lnk_multi( 'sbcblk', utau_ice, 'U', -1., vtau_ice, 'V', -1. ) |
|---|
| 712 | ! |
|---|
| 713 | ! |
|---|
| 714 | IF(ln_ctl) THEN |
|---|
| 715 | CALL prt_ctl(tab2d_1=utau_ice , clinfo1=' blk_ice: utau_ice : ', tab2d_2=vtau_ice , clinfo2=' vtau_ice : ') |
|---|
| 716 | CALL prt_ctl(tab2d_1=wndm_ice , clinfo1=' blk_ice: wndm_ice : ') |
|---|
| 717 | ENDIF |
|---|
| 718 | ! |
|---|
| 719 | END SUBROUTINE blk_ice_tau |
|---|
| 720 | |
|---|
| 721 | |
|---|
| 722 | SUBROUTINE blk_ice_flx( ptsu, phs, phi, palb ) |
|---|
| 723 | !!--------------------------------------------------------------------- |
|---|
| 724 | !! *** ROUTINE blk_ice_flx *** |
|---|
| 725 | !! |
|---|
| 726 | !! ** Purpose : provide the heat and mass fluxes at air-ice interface |
|---|
| 727 | !! |
|---|
| 728 | !! ** Method : compute heat and freshwater exchanged |
|---|
| 729 | !! between atmosphere and sea-ice using bulk formulation |
|---|
| 730 | !! formulea, ice variables and read atmmospheric fields. |
|---|
| 731 | !! |
|---|
| 732 | !! caution : the net upward water flux has with mm/day unit |
|---|
| 733 | !!--------------------------------------------------------------------- |
|---|
| 734 | REAL(wp), DIMENSION(:,:,:), INTENT(in) :: ptsu ! sea ice surface temperature |
|---|
| 735 | REAL(wp), DIMENSION(:,:,:), INTENT(in) :: phs ! snow thickness |
|---|
| 736 | REAL(wp), DIMENSION(:,:,:), INTENT(in) :: phi ! ice thickness |
|---|
| 737 | REAL(wp), DIMENSION(:,:,:), INTENT(in) :: palb ! ice albedo (all skies) |
|---|
| 738 | !! |
|---|
| 739 | INTEGER :: ji, jj, jl ! dummy loop indices |
|---|
| 740 | REAL(wp) :: zst3 ! local variable |
|---|
| 741 | REAL(wp) :: zcoef_dqlw, zcoef_dqla ! - - |
|---|
| 742 | REAL(wp) :: zztmp, z1_rLsub ! - - |
|---|
| 743 | REAL(wp) :: zfr1, zfr2 ! local variables |
|---|
| 744 | REAL(wp), DIMENSION(jpi,jpj,jpl) :: z1_st ! inverse of surface temperature |
|---|
| 745 | REAL(wp), DIMENSION(jpi,jpj,jpl) :: z_qlw ! long wave heat flux over ice |
|---|
| 746 | REAL(wp), DIMENSION(jpi,jpj,jpl) :: z_qsb ! sensible heat flux over ice |
|---|
| 747 | REAL(wp), DIMENSION(jpi,jpj,jpl) :: z_dqlw ! long wave heat sensitivity over ice |
|---|
| 748 | REAL(wp), DIMENSION(jpi,jpj,jpl) :: z_dqsb ! sensible heat sensitivity over ice |
|---|
| 749 | REAL(wp), DIMENSION(jpi,jpj) :: zevap, zsnw ! evaporation and snw distribution after wind blowing (SI3) |
|---|
| 750 | REAL(wp), DIMENSION(jpi,jpj) :: zqair ! specific humidity of air at z=rn_zqt [kg/kg] !LB |
|---|
| 751 | !!--------------------------------------------------------------------- |
|---|
| 752 | ! |
|---|
| 753 | zcoef_dqlw = 4._wp * 0.95_wp * stefan ! local scalars |
|---|
| 754 | zcoef_dqla = -rLsub * 11637800._wp * (-5897.8_wp) !LB: BAD! |
|---|
| 755 | ! |
|---|
| 756 | |
|---|
| 757 | !LB: |
|---|
| 758 | ! spec. hum. of air at "rn_zqt" m above thes sea: |
|---|
| 759 | IF ( ln_humi_dpt ) THEN |
|---|
| 760 | ! spec. hum. of air is deduced from dew-point temperature and SLP: q_air = q_sat( d_air, slp) |
|---|
| 761 | IF (lwp) PRINT *, ' *** LB(sbcblk.F90) => ICE !!! computing q_air out of d_air and slp !' |
|---|
| 762 | zqair(:,:) = q_sat( sf(jp_humi)%fnow(:,:,1), sf(jp_slp)%fnow(:,:,1) ) |
|---|
| 763 | ELSE |
|---|
| 764 | zqair(:,:) = sf(jp_humi)%fnow(:,:,1) ! what we read in file is already a spec. humidity! |
|---|
| 765 | END IF |
|---|
| 766 | !LB. |
|---|
| 767 | |
|---|
| 768 | zztmp = 1. / ( 1. - albo ) |
|---|
| 769 | WHERE( ptsu(:,:,:) /= 0._wp ) ; z1_st(:,:,:) = 1._wp / ptsu(:,:,:) |
|---|
| 770 | ELSEWHERE ; z1_st(:,:,:) = 0._wp |
|---|
| 771 | END WHERE |
|---|
| 772 | ! ! ========================== ! |
|---|
| 773 | DO jl = 1, jpl ! Loop over ice categories ! |
|---|
| 774 | ! ! ========================== ! |
|---|
| 775 | DO jj = 1 , jpj |
|---|
| 776 | DO ji = 1, jpi |
|---|
| 777 | ! ----------------------------! |
|---|
| 778 | ! I Radiative FLUXES ! |
|---|
| 779 | ! ----------------------------! |
|---|
| 780 | zst3 = ptsu(ji,jj,jl) * ptsu(ji,jj,jl) * ptsu(ji,jj,jl) |
|---|
| 781 | ! Short Wave (sw) |
|---|
| 782 | qsr_ice(ji,jj,jl) = zztmp * ( 1. - palb(ji,jj,jl) ) * qsr(ji,jj) |
|---|
| 783 | ! Long Wave (lw) |
|---|
| 784 | z_qlw(ji,jj,jl) = 0.95 * ( sf(jp_qlw)%fnow(ji,jj,1) - stefan * ptsu(ji,jj,jl) * zst3 ) * tmask(ji,jj,1) |
|---|
| 785 | ! lw sensitivity |
|---|
| 786 | z_dqlw(ji,jj,jl) = zcoef_dqlw * zst3 |
|---|
| 787 | |
|---|
| 788 | ! ----------------------------! |
|---|
| 789 | ! II Turbulent FLUXES ! |
|---|
| 790 | ! ----------------------------! |
|---|
| 791 | |
|---|
| 792 | ! ... turbulent heat fluxes with Ch_atm recalculated in blk_ice_tau |
|---|
| 793 | ! Sensible Heat |
|---|
| 794 | z_qsb(ji,jj,jl) = rhoa(ji,jj) * rCp_air * Ch_atm(ji,jj) * wndm_ice(ji,jj) * (ptsu(ji,jj,jl) - sf(jp_tair)%fnow(ji,jj,1)) |
|---|
| 795 | ! Latent Heat |
|---|
| 796 | qla_ice(ji,jj,jl) = rn_efac * MAX( 0.e0, rhoa(ji,jj) * rLsub * Ch_atm(ji,jj) * wndm_ice(ji,jj) * & |
|---|
| 797 | & ( 11637800. * EXP( -5897.8 * z1_st(ji,jj,jl) ) / rhoa(ji,jj) - zqair(ji,jj) ) ) |
|---|
| 798 | ! Latent heat sensitivity for ice (Dqla/Dt) |
|---|
| 799 | IF( qla_ice(ji,jj,jl) > 0._wp ) THEN |
|---|
| 800 | dqla_ice(ji,jj,jl) = rn_efac * zcoef_dqla * Ch_atm(ji,jj) * wndm_ice(ji,jj) * & |
|---|
| 801 | & z1_st(ji,jj,jl)*z1_st(ji,jj,jl) * EXP(-5897.8 * z1_st(ji,jj,jl)) |
|---|
| 802 | ELSE |
|---|
| 803 | dqla_ice(ji,jj,jl) = 0._wp |
|---|
| 804 | ENDIF |
|---|
| 805 | |
|---|
| 806 | ! Sensible heat sensitivity (Dqsb_ice/Dtn_ice) |
|---|
| 807 | z_dqsb(ji,jj,jl) = rhoa(ji,jj) * rCp_air * Ch_atm(ji,jj) * wndm_ice(ji,jj) |
|---|
| 808 | |
|---|
| 809 | ! ----------------------------! |
|---|
| 810 | ! III Total FLUXES ! |
|---|
| 811 | ! ----------------------------! |
|---|
| 812 | ! Downward Non Solar flux |
|---|
| 813 | qns_ice (ji,jj,jl) = z_qlw (ji,jj,jl) - z_qsb (ji,jj,jl) - qla_ice (ji,jj,jl) |
|---|
| 814 | ! Total non solar heat flux sensitivity for ice |
|---|
| 815 | dqns_ice(ji,jj,jl) = - ( z_dqlw(ji,jj,jl) + z_dqsb(ji,jj,jl) + dqla_ice(ji,jj,jl) ) |
|---|
| 816 | END DO |
|---|
| 817 | ! |
|---|
| 818 | END DO |
|---|
| 819 | ! |
|---|
| 820 | END DO |
|---|
| 821 | ! |
|---|
| 822 | tprecip(:,:) = sf(jp_prec)%fnow(:,:,1) * rn_pfac * tmask(:,:,1) ! total precipitation [kg/m2/s] |
|---|
| 823 | sprecip(:,:) = sf(jp_snow)%fnow(:,:,1) * rn_pfac * tmask(:,:,1) ! solid precipitation [kg/m2/s] |
|---|
| 824 | CALL iom_put( 'snowpre', sprecip ) ! Snow precipitation |
|---|
| 825 | CALL iom_put( 'precip' , tprecip ) ! Total precipitation |
|---|
| 826 | |
|---|
| 827 | ! --- evaporation --- ! |
|---|
| 828 | z1_rLsub = 1._wp / rLsub |
|---|
| 829 | evap_ice (:,:,:) = rn_efac * qla_ice (:,:,:) * z1_rLsub ! sublimation |
|---|
| 830 | devap_ice(:,:,:) = rn_efac * dqla_ice(:,:,:) * z1_rLsub ! d(sublimation)/dT |
|---|
| 831 | zevap (:,:) = rn_efac * ( emp(:,:) + tprecip(:,:) ) ! evaporation over ocean |
|---|
| 832 | |
|---|
| 833 | ! --- evaporation minus precipitation --- ! |
|---|
| 834 | zsnw(:,:) = 0._wp |
|---|
| 835 | CALL ice_thd_snwblow( (1.-at_i_b(:,:)), zsnw ) ! snow distribution over ice after wind blowing |
|---|
| 836 | emp_oce(:,:) = ( 1._wp - at_i_b(:,:) ) * zevap(:,:) - ( tprecip(:,:) - sprecip(:,:) ) - sprecip(:,:) * (1._wp - zsnw ) |
|---|
| 837 | emp_ice(:,:) = SUM( a_i_b(:,:,:) * evap_ice(:,:,:), dim=3 ) - sprecip(:,:) * zsnw |
|---|
| 838 | emp_tot(:,:) = emp_oce(:,:) + emp_ice(:,:) |
|---|
| 839 | |
|---|
| 840 | ! --- heat flux associated with emp --- ! |
|---|
| 841 | qemp_oce(:,:) = - ( 1._wp - at_i_b(:,:) ) * zevap(:,:) * sst_m(:,:) * rcp & ! evap at sst |
|---|
| 842 | & + ( tprecip(:,:) - sprecip(:,:) ) * ( sf(jp_tair)%fnow(:,:,1) - rt0 ) * rcp & ! liquid precip at Tair |
|---|
| 843 | & + sprecip(:,:) * ( 1._wp - zsnw ) * & ! solid precip at min(Tair,Tsnow) |
|---|
| 844 | & ( ( MIN( sf(jp_tair)%fnow(:,:,1), rt0 ) - rt0 ) * rcpi * tmask(:,:,1) - rLfus ) |
|---|
| 845 | qemp_ice(:,:) = sprecip(:,:) * zsnw * & ! solid precip (only) |
|---|
| 846 | & ( ( MIN( sf(jp_tair)%fnow(:,:,1), rt0 ) - rt0 ) * rcpi * tmask(:,:,1) - rLfus ) |
|---|
| 847 | |
|---|
| 848 | ! --- total solar and non solar fluxes --- ! |
|---|
| 849 | qns_tot(:,:) = ( 1._wp - at_i_b(:,:) ) * qns_oce(:,:) + SUM( a_i_b(:,:,:) * qns_ice(:,:,:), dim=3 ) & |
|---|
| 850 | & + qemp_ice(:,:) + qemp_oce(:,:) |
|---|
| 851 | qsr_tot(:,:) = ( 1._wp - at_i_b(:,:) ) * qsr_oce(:,:) + SUM( a_i_b(:,:,:) * qsr_ice(:,:,:), dim=3 ) |
|---|
| 852 | |
|---|
| 853 | ! --- heat content of precip over ice in J/m3 (to be used in 1D-thermo) --- ! |
|---|
| 854 | qprec_ice(:,:) = rhos * ( ( MIN( sf(jp_tair)%fnow(:,:,1), rt0 ) - rt0 ) * rcpi * tmask(:,:,1) - rLfus ) |
|---|
| 855 | |
|---|
| 856 | ! --- heat content of evap over ice in W/m2 (to be used in 1D-thermo) --- |
|---|
| 857 | DO jl = 1, jpl |
|---|
| 858 | qevap_ice(:,:,jl) = 0._wp ! should be -evap_ice(:,:,jl)*( ( Tice - rt0 ) * rcpi * tmask(:,:,1) ) |
|---|
| 859 | ! ! But we do not have Tice => consider it at 0degC => evap=0 |
|---|
| 860 | END DO |
|---|
| 861 | |
|---|
| 862 | ! --- shortwave radiation transmitted below the surface (W/m2, see Grenfell Maykut 77) --- ! |
|---|
| 863 | zfr1 = ( 0.18 * ( 1.0 - cldf_ice ) + 0.35 * cldf_ice ) ! transmission when hi>10cm |
|---|
| 864 | zfr2 = ( 0.82 * ( 1.0 - cldf_ice ) + 0.65 * cldf_ice ) ! zfr2 such that zfr1 + zfr2 to equal 1 |
|---|
| 865 | ! |
|---|
| 866 | WHERE ( phs(:,:,:) <= 0._wp .AND. phi(:,:,:) < 0.1_wp ) ! linear decrease from hi=0 to 10cm |
|---|
| 867 | qtr_ice_top(:,:,:) = qsr_ice(:,:,:) * ( zfr1 + zfr2 * ( 1._wp - phi(:,:,:) * 10._wp ) ) |
|---|
| 868 | ELSEWHERE( phs(:,:,:) <= 0._wp .AND. phi(:,:,:) >= 0.1_wp ) ! constant (zfr1) when hi>10cm |
|---|
| 869 | qtr_ice_top(:,:,:) = qsr_ice(:,:,:) * zfr1 |
|---|
| 870 | ELSEWHERE ! zero when hs>0 |
|---|
| 871 | qtr_ice_top(:,:,:) = 0._wp |
|---|
| 872 | END WHERE |
|---|
| 873 | ! |
|---|
| 874 | IF(ln_ctl) THEN |
|---|
| 875 | CALL prt_ctl(tab3d_1=qla_ice , clinfo1=' blk_ice: qla_ice : ', tab3d_2=z_qsb , clinfo2=' z_qsb : ', kdim=jpl) |
|---|
| 876 | CALL prt_ctl(tab3d_1=z_qlw , clinfo1=' blk_ice: z_qlw : ', tab3d_2=dqla_ice, clinfo2=' dqla_ice : ', kdim=jpl) |
|---|
| 877 | CALL prt_ctl(tab3d_1=z_dqsb , clinfo1=' blk_ice: z_dqsb : ', tab3d_2=z_dqlw , clinfo2=' z_dqlw : ', kdim=jpl) |
|---|
| 878 | CALL prt_ctl(tab3d_1=dqns_ice, clinfo1=' blk_ice: dqns_ice : ', tab3d_2=qsr_ice , clinfo2=' qsr_ice : ', kdim=jpl) |
|---|
| 879 | CALL prt_ctl(tab3d_1=ptsu , clinfo1=' blk_ice: ptsu : ', tab3d_2=qns_ice , clinfo2=' qns_ice : ', kdim=jpl) |
|---|
| 880 | CALL prt_ctl(tab2d_1=tprecip , clinfo1=' blk_ice: tprecip : ', tab2d_2=sprecip , clinfo2=' sprecip : ') |
|---|
| 881 | ENDIF |
|---|
| 882 | ! |
|---|
| 883 | END SUBROUTINE blk_ice_flx |
|---|
| 884 | |
|---|
| 885 | |
|---|
| 886 | SUBROUTINE blk_ice_qcn( ld_virtual_itd, ptsu, ptb, phs, phi ) |
|---|
| 887 | !!--------------------------------------------------------------------- |
|---|
| 888 | !! *** ROUTINE blk_ice_qcn *** |
|---|
| 889 | !! |
|---|
| 890 | !! ** Purpose : Compute surface temperature and snow/ice conduction flux |
|---|
| 891 | !! to force sea ice / snow thermodynamics |
|---|
| 892 | !! in the case conduction flux is emulated |
|---|
| 893 | !! |
|---|
| 894 | !! ** Method : compute surface energy balance assuming neglecting heat storage |
|---|
| 895 | !! following the 0-layer Semtner (1976) approach |
|---|
| 896 | !! |
|---|
| 897 | !! ** Outputs : - ptsu : sea-ice / snow surface temperature (K) |
|---|
| 898 | !! - qcn_ice : surface inner conduction flux (W/m2) |
|---|
| 899 | !! |
|---|
| 900 | !!--------------------------------------------------------------------- |
|---|
| 901 | LOGICAL , INTENT(in ) :: ld_virtual_itd ! single-category option |
|---|
| 902 | REAL(wp), DIMENSION(:,:,:), INTENT(inout) :: ptsu ! sea ice / snow surface temperature |
|---|
| 903 | REAL(wp), DIMENSION(:,:) , INTENT(in ) :: ptb ! sea ice base temperature |
|---|
| 904 | REAL(wp), DIMENSION(:,:,:), INTENT(in ) :: phs ! snow thickness |
|---|
| 905 | REAL(wp), DIMENSION(:,:,:), INTENT(in ) :: phi ! sea ice thickness |
|---|
| 906 | ! |
|---|
| 907 | INTEGER , PARAMETER :: nit = 10 ! number of iterations |
|---|
| 908 | REAL(wp), PARAMETER :: zepsilon = 0.1_wp ! characteristic thickness for enhanced conduction |
|---|
| 909 | ! |
|---|
| 910 | INTEGER :: ji, jj, jl ! dummy loop indices |
|---|
| 911 | INTEGER :: iter ! local integer |
|---|
| 912 | REAL(wp) :: zfac, zfac2, zfac3 ! local scalars |
|---|
| 913 | REAL(wp) :: zkeff_h, ztsu, ztsu0 ! |
|---|
| 914 | REAL(wp) :: zqc, zqnet ! |
|---|
| 915 | REAL(wp) :: zhe, zqa0 ! |
|---|
| 916 | REAL(wp), DIMENSION(jpi,jpj,jpl) :: zgfac ! enhanced conduction factor |
|---|
| 917 | !!--------------------------------------------------------------------- |
|---|
| 918 | |
|---|
| 919 | ! -------------------------------------! |
|---|
| 920 | ! I Enhanced conduction factor ! |
|---|
| 921 | ! -------------------------------------! |
|---|
| 922 | ! Emulates the enhancement of conduction by unresolved thin ice (ld_virtual_itd = T) |
|---|
| 923 | ! Fichefet and Morales Maqueda, JGR 1997 |
|---|
| 924 | ! |
|---|
| 925 | zgfac(:,:,:) = 1._wp |
|---|
| 926 | |
|---|
| 927 | IF( ld_virtual_itd ) THEN |
|---|
| 928 | ! |
|---|
| 929 | zfac = 1._wp / ( rn_cnd_s + rcnd_i ) |
|---|
| 930 | zfac2 = EXP(1._wp) * 0.5_wp * zepsilon |
|---|
| 931 | zfac3 = 2._wp / zepsilon |
|---|
| 932 | ! |
|---|
| 933 | DO jl = 1, jpl |
|---|
| 934 | DO jj = 1 , jpj |
|---|
| 935 | DO ji = 1, jpi |
|---|
| 936 | zhe = ( rn_cnd_s * phi(ji,jj,jl) + rcnd_i * phs(ji,jj,jl) ) * zfac ! Effective thickness |
|---|
| 937 | IF( zhe >= zfac2 ) zgfac(ji,jj,jl) = MIN( 2._wp, 0.5_wp * ( 1._wp + LOG( zhe * zfac3 ) ) ) ! Enhanced conduction factor |
|---|
| 938 | END DO |
|---|
| 939 | END DO |
|---|
| 940 | END DO |
|---|
| 941 | ! |
|---|
| 942 | ENDIF |
|---|
| 943 | |
|---|
| 944 | ! -------------------------------------------------------------! |
|---|
| 945 | ! II Surface temperature and conduction flux ! |
|---|
| 946 | ! -------------------------------------------------------------! |
|---|
| 947 | ! |
|---|
| 948 | zfac = rcnd_i * rn_cnd_s |
|---|
| 949 | ! |
|---|
| 950 | DO jl = 1, jpl |
|---|
| 951 | DO jj = 1 , jpj |
|---|
| 952 | DO ji = 1, jpi |
|---|
| 953 | ! |
|---|
| 954 | zkeff_h = zfac * zgfac(ji,jj,jl) / & ! Effective conductivity of the snow-ice system divided by thickness |
|---|
| 955 | & ( rcnd_i * phs(ji,jj,jl) + rn_cnd_s * MAX( 0.01, phi(ji,jj,jl) ) ) |
|---|
| 956 | ztsu = ptsu(ji,jj,jl) ! Store current iteration temperature |
|---|
| 957 | ztsu0 = ptsu(ji,jj,jl) ! Store initial surface temperature |
|---|
| 958 | zqa0 = qsr_ice(ji,jj,jl) - qtr_ice_top(ji,jj,jl) + qns_ice(ji,jj,jl) ! Net initial atmospheric heat flux |
|---|
| 959 | ! |
|---|
| 960 | DO iter = 1, nit ! --- Iterative loop |
|---|
| 961 | zqc = zkeff_h * ( ztsu - ptb(ji,jj) ) ! Conduction heat flux through snow-ice system (>0 downwards) |
|---|
| 962 | zqnet = zqa0 + dqns_ice(ji,jj,jl) * ( ztsu - ptsu(ji,jj,jl) ) - zqc ! Surface energy budget |
|---|
| 963 | ztsu = ztsu - zqnet / ( dqns_ice(ji,jj,jl) - zkeff_h ) ! Temperature update |
|---|
| 964 | END DO |
|---|
| 965 | ! |
|---|
| 966 | ptsu (ji,jj,jl) = MIN( rt0, ztsu ) |
|---|
| 967 | qcn_ice(ji,jj,jl) = zkeff_h * ( ptsu(ji,jj,jl) - ptb(ji,jj) ) |
|---|
| 968 | qns_ice(ji,jj,jl) = qns_ice(ji,jj,jl) + dqns_ice(ji,jj,jl) * ( ptsu(ji,jj,jl) - ztsu0 ) |
|---|
| 969 | qml_ice(ji,jj,jl) = ( qsr_ice(ji,jj,jl) - qtr_ice_top(ji,jj,jl) + qns_ice(ji,jj,jl) - qcn_ice(ji,jj,jl) ) & |
|---|
| 970 | & * MAX( 0._wp , SIGN( 1._wp, ptsu(ji,jj,jl) - rt0 ) ) |
|---|
| 971 | |
|---|
| 972 | ! --- Diagnose the heat loss due to changing non-solar flux (as in icethd_zdf_bl99) --- ! |
|---|
| 973 | hfx_err_dif(ji,jj) = hfx_err_dif(ji,jj) - ( dqns_ice(ji,jj,jl) * ( ptsu(ji,jj,jl) - ztsu0 ) ) * a_i_b(ji,jj,jl) |
|---|
| 974 | |
|---|
| 975 | END DO |
|---|
| 976 | END DO |
|---|
| 977 | ! |
|---|
| 978 | END DO |
|---|
| 979 | ! |
|---|
| 980 | END SUBROUTINE blk_ice_qcn |
|---|
| 981 | |
|---|
| 982 | |
|---|
| 983 | SUBROUTINE Cdn10_Lupkes2012( Cd ) |
|---|
| 984 | !!---------------------------------------------------------------------- |
|---|
| 985 | !! *** ROUTINE Cdn10_Lupkes2012 *** |
|---|
| 986 | !! |
|---|
| 987 | !! ** Purpose : Recompute the neutral air-ice drag referenced at 10m |
|---|
| 988 | !! to make it dependent on edges at leads, melt ponds and flows. |
|---|
| 989 | !! After some approximations, this can be resumed to a dependency |
|---|
| 990 | !! on ice concentration. |
|---|
| 991 | !! |
|---|
| 992 | !! ** Method : The parameterization is taken from Lupkes et al. (2012) eq.(50) |
|---|
| 993 | !! with the highest level of approximation: level4, eq.(59) |
|---|
| 994 | !! The generic drag over a cell partly covered by ice can be re-written as follows: |
|---|
| 995 | !! |
|---|
| 996 | !! Cd = Cdw * (1-A) + Cdi * A + Ce * (1-A)**(nu+1/(10*beta)) * A**mu |
|---|
| 997 | !! |
|---|
| 998 | !! Ce = 2.23e-3 , as suggested by Lupkes (eq. 59) |
|---|
| 999 | !! nu = mu = beta = 1 , as suggested by Lupkes (eq. 59) |
|---|
| 1000 | !! A is the concentration of ice minus melt ponds (if any) |
|---|
| 1001 | !! |
|---|
| 1002 | !! This new drag has a parabolic shape (as a function of A) starting at |
|---|
| 1003 | !! Cdw(say 1.5e-3) for A=0, reaching 1.97e-3 for A~0.5 |
|---|
| 1004 | !! and going down to Cdi(say 1.4e-3) for A=1 |
|---|
| 1005 | !! |
|---|
| 1006 | !! It is theoretically applicable to all ice conditions (not only MIZ) |
|---|
| 1007 | !! => see Lupkes et al (2013) |
|---|
| 1008 | !! |
|---|
| 1009 | !! ** References : Lupkes et al. JGR 2012 (theory) |
|---|
| 1010 | !! Lupkes et al. GRL 2013 (application to GCM) |
|---|
| 1011 | !! |
|---|
| 1012 | !!---------------------------------------------------------------------- |
|---|
| 1013 | REAL(wp), DIMENSION(:,:), INTENT(inout) :: Cd |
|---|
| 1014 | REAL(wp), PARAMETER :: zCe = 2.23e-03_wp |
|---|
| 1015 | REAL(wp), PARAMETER :: znu = 1._wp |
|---|
| 1016 | REAL(wp), PARAMETER :: zmu = 1._wp |
|---|
| 1017 | REAL(wp), PARAMETER :: zbeta = 1._wp |
|---|
| 1018 | REAL(wp) :: zcoef |
|---|
| 1019 | !!---------------------------------------------------------------------- |
|---|
| 1020 | zcoef = znu + 1._wp / ( 10._wp * zbeta ) |
|---|
| 1021 | |
|---|
| 1022 | ! generic drag over a cell partly covered by ice |
|---|
| 1023 | !!Cd(:,:) = Cd_oce(:,:) * ( 1._wp - at_i_b(:,:) ) + & ! pure ocean drag |
|---|
| 1024 | !! & rCd_ice * at_i_b(:,:) + & ! pure ice drag |
|---|
| 1025 | !! & zCe * ( 1._wp - at_i_b(:,:) )**zcoef * at_i_b(:,:)**zmu ! change due to sea-ice morphology |
|---|
| 1026 | |
|---|
| 1027 | ! ice-atm drag |
|---|
| 1028 | Cd(:,:) = rCd_ice + & ! pure ice drag |
|---|
| 1029 | & zCe * ( 1._wp - at_i_b(:,:) )**zcoef * at_i_b(:,:)**(zmu-1._wp) ! change due to sea-ice morphology |
|---|
| 1030 | |
|---|
| 1031 | END SUBROUTINE Cdn10_Lupkes2012 |
|---|
| 1032 | |
|---|
| 1033 | |
|---|
| 1034 | SUBROUTINE Cdn10_Lupkes2015( Cd, Ch ) |
|---|
| 1035 | !!---------------------------------------------------------------------- |
|---|
| 1036 | !! *** ROUTINE Cdn10_Lupkes2015 *** |
|---|
| 1037 | !! |
|---|
| 1038 | !! ** pUrpose : Alternative turbulent transfert coefficients formulation |
|---|
| 1039 | !! between sea-ice and atmosphere with distinct momentum |
|---|
| 1040 | !! and heat coefficients depending on sea-ice concentration |
|---|
| 1041 | !! and atmospheric stability (no meltponds effect for now). |
|---|
| 1042 | !! |
|---|
| 1043 | !! ** Method : The parameterization is adapted from Lupkes et al. (2015) |
|---|
| 1044 | !! and ECHAM6 atmospheric model. Compared to Lupkes2012 scheme, |
|---|
| 1045 | !! it considers specific skin and form drags (Andreas et al. 2010) |
|---|
| 1046 | !! to compute neutral transfert coefficients for both heat and |
|---|
| 1047 | !! momemtum fluxes. Atmospheric stability effect on transfert |
|---|
| 1048 | !! coefficient is also taken into account following Louis (1979). |
|---|
| 1049 | !! |
|---|
| 1050 | !! ** References : Lupkes et al. JGR 2015 (theory) |
|---|
| 1051 | !! Lupkes et al. ECHAM6 documentation 2015 (implementation) |
|---|
| 1052 | !! |
|---|
| 1053 | !!---------------------------------------------------------------------- |
|---|
| 1054 | ! |
|---|
| 1055 | REAL(wp), DIMENSION(:,:), INTENT(inout) :: Cd |
|---|
| 1056 | REAL(wp), DIMENSION(:,:), INTENT(inout) :: Ch |
|---|
| 1057 | REAL(wp), DIMENSION(jpi,jpj) :: ztm_su, zst, zqo_sat, zqi_sat |
|---|
| 1058 | ! |
|---|
| 1059 | ! ECHAM6 constants |
|---|
| 1060 | REAL(wp), PARAMETER :: z0_skin_ice = 0.69e-3_wp ! Eq. 43 [m] |
|---|
| 1061 | REAL(wp), PARAMETER :: z0_form_ice = 0.57e-3_wp ! Eq. 42 [m] |
|---|
| 1062 | REAL(wp), PARAMETER :: z0_ice = 1.00e-3_wp ! Eq. 15 [m] |
|---|
| 1063 | REAL(wp), PARAMETER :: zce10 = 2.80e-3_wp ! Eq. 41 |
|---|
| 1064 | REAL(wp), PARAMETER :: zbeta = 1.1_wp ! Eq. 41 |
|---|
| 1065 | REAL(wp), PARAMETER :: zc = 5._wp ! Eq. 13 |
|---|
| 1066 | REAL(wp), PARAMETER :: zc2 = zc * zc |
|---|
| 1067 | REAL(wp), PARAMETER :: zam = 2. * zc ! Eq. 14 |
|---|
| 1068 | REAL(wp), PARAMETER :: zah = 3. * zc ! Eq. 30 |
|---|
| 1069 | REAL(wp), PARAMETER :: z1_alpha = 1._wp / 0.2_wp ! Eq. 51 |
|---|
| 1070 | REAL(wp), PARAMETER :: z1_alphaf = z1_alpha ! Eq. 56 |
|---|
| 1071 | REAL(wp), PARAMETER :: zbetah = 1.e-3_wp ! Eq. 26 |
|---|
| 1072 | REAL(wp), PARAMETER :: zgamma = 1.25_wp ! Eq. 26 |
|---|
| 1073 | REAL(wp), PARAMETER :: z1_gamma = 1._wp / zgamma |
|---|
| 1074 | REAL(wp), PARAMETER :: r1_3 = 1._wp / 3._wp |
|---|
| 1075 | ! |
|---|
| 1076 | INTEGER :: ji, jj ! dummy loop indices |
|---|
| 1077 | REAL(wp) :: zthetav_os, zthetav_is, zthetav_zu |
|---|
| 1078 | REAL(wp) :: zrib_o, zrib_i |
|---|
| 1079 | REAL(wp) :: zCdn_skin_ice, zCdn_form_ice, zCdn_ice |
|---|
| 1080 | REAL(wp) :: zChn_skin_ice, zChn_form_ice |
|---|
| 1081 | REAL(wp) :: z0w, z0i, zfmi, zfmw, zfhi, zfhw |
|---|
| 1082 | REAL(wp) :: zCdn_form_tmp |
|---|
| 1083 | !!---------------------------------------------------------------------- |
|---|
| 1084 | |
|---|
| 1085 | ! mean temperature |
|---|
| 1086 | WHERE( at_i_b(:,:) > 1.e-20 ) ; ztm_su(:,:) = SUM( t_su(:,:,:) * a_i_b(:,:,:) , dim=3 ) / at_i_b(:,:) |
|---|
| 1087 | ELSEWHERE ; ztm_su(:,:) = rt0 |
|---|
| 1088 | ENDWHERE |
|---|
| 1089 | |
|---|
| 1090 | ! Momentum Neutral Transfert Coefficients (should be a constant) |
|---|
| 1091 | zCdn_form_tmp = zce10 * ( LOG( 10._wp / z0_form_ice + 1._wp ) / LOG( rn_zu / z0_form_ice + 1._wp ) )**2 ! Eq. 40 |
|---|
| 1092 | zCdn_skin_ice = ( vkarmn / LOG( rn_zu / z0_skin_ice + 1._wp ) )**2 ! Eq. 7 |
|---|
| 1093 | zCdn_ice = zCdn_skin_ice ! Eq. 7 (cf Lupkes email for details) |
|---|
| 1094 | !zCdn_ice = 1.89e-3 ! old ECHAM5 value (cf Eq. 32) |
|---|
| 1095 | |
|---|
| 1096 | ! Heat Neutral Transfert Coefficients |
|---|
| 1097 | zChn_skin_ice = vkarmn**2 / ( LOG( rn_zu / z0_ice + 1._wp ) * LOG( rn_zu * z1_alpha / z0_skin_ice + 1._wp ) ) ! Eq. 50 + Eq. 52 (cf Lupkes email for details) |
|---|
| 1098 | |
|---|
| 1099 | ! Atmospheric and Surface Variables |
|---|
| 1100 | zst(:,:) = sst_m(:,:) + rt0 ! convert SST from Celcius to Kelvin |
|---|
| 1101 | zqo_sat(:,:) = rdct_qsat_salt * q_sat( zst(:,:) , sf(jp_slp)%fnow(:,:,1) ) ! saturation humidity over ocean [kg/kg] |
|---|
| 1102 | zqi_sat(:,:) = q_sat( ztm_su(:,:), sf(jp_slp)%fnow(:,:,1) ) ! saturation humidity over ice [kg/kg] !LB: no 0.98 !!(rdct_qsat_salt) |
|---|
| 1103 | ! |
|---|
| 1104 | DO jj = 2, jpjm1 ! reduced loop is necessary for reproducibility |
|---|
| 1105 | DO ji = fs_2, fs_jpim1 |
|---|
| 1106 | ! Virtual potential temperature [K] |
|---|
| 1107 | zthetav_os = zst(ji,jj) * ( 1._wp + rctv0 * zqo_sat(ji,jj) ) ! over ocean |
|---|
| 1108 | zthetav_is = ztm_su(ji,jj) * ( 1._wp + rctv0 * zqi_sat(ji,jj) ) ! ocean ice |
|---|
| 1109 | zthetav_zu = t_zu (ji,jj) * ( 1._wp + rctv0 * q_zu(ji,jj) ) ! at zu |
|---|
| 1110 | |
|---|
| 1111 | ! Bulk Richardson Number (could use Ri_bulk function from aerobulk instead) |
|---|
| 1112 | zrib_o = grav / zthetav_os * ( zthetav_zu - zthetav_os ) * rn_zu / MAX( 0.5, wndm(ji,jj) )**2 ! over ocean |
|---|
| 1113 | zrib_i = grav / zthetav_is * ( zthetav_zu - zthetav_is ) * rn_zu / MAX( 0.5, wndm_ice(ji,jj) )**2 ! over ice |
|---|
| 1114 | |
|---|
| 1115 | ! Momentum and Heat Neutral Transfert Coefficients |
|---|
| 1116 | zCdn_form_ice = zCdn_form_tmp * at_i_b(ji,jj) * ( 1._wp - at_i_b(ji,jj) )**zbeta ! Eq. 40 |
|---|
| 1117 | zChn_form_ice = zCdn_form_ice / ( 1._wp + ( LOG( z1_alphaf ) / vkarmn ) * SQRT( zCdn_form_ice ) ) ! Eq. 53 |
|---|
| 1118 | |
|---|
| 1119 | ! Momentum and Heat Stability functions (possibility to use psi_m_ecmwf instead) |
|---|
| 1120 | z0w = rn_zu * EXP( -1._wp * vkarmn / SQRT( Cdn_oce(ji,jj) ) ) ! over water |
|---|
| 1121 | z0i = z0_skin_ice ! over ice (cf Lupkes email for details) |
|---|
| 1122 | IF( zrib_o <= 0._wp ) THEN |
|---|
| 1123 | zfmw = 1._wp - zam * zrib_o / ( 1._wp + 3._wp * zc2 * Cdn_oce(ji,jj) * SQRT( -zrib_o * ( rn_zu / z0w + 1._wp ) ) ) ! Eq. 10 |
|---|
| 1124 | zfhw = ( 1._wp + ( zbetah * ( zthetav_os - zthetav_zu )**r1_3 / ( Chn_oce(ji,jj) * MAX(0.01, wndm(ji,jj)) ) & ! Eq. 26 |
|---|
| 1125 | & )**zgamma )**z1_gamma |
|---|
| 1126 | ELSE |
|---|
| 1127 | zfmw = 1._wp / ( 1._wp + zam * zrib_o / SQRT( 1._wp + zrib_o ) ) ! Eq. 12 |
|---|
| 1128 | zfhw = 1._wp / ( 1._wp + zah * zrib_o / SQRT( 1._wp + zrib_o ) ) ! Eq. 28 |
|---|
| 1129 | ENDIF |
|---|
| 1130 | |
|---|
| 1131 | IF( zrib_i <= 0._wp ) THEN |
|---|
| 1132 | zfmi = 1._wp - zam * zrib_i / (1._wp + 3._wp * zc2 * zCdn_ice * SQRT( -zrib_i * ( rn_zu / z0i + 1._wp))) ! Eq. 9 |
|---|
| 1133 | zfhi = 1._wp - zah * zrib_i / (1._wp + 3._wp * zc2 * zCdn_ice * SQRT( -zrib_i * ( rn_zu / z0i + 1._wp))) ! Eq. 25 |
|---|
| 1134 | ELSE |
|---|
| 1135 | zfmi = 1._wp / ( 1._wp + zam * zrib_i / SQRT( 1._wp + zrib_i ) ) ! Eq. 11 |
|---|
| 1136 | zfhi = 1._wp / ( 1._wp + zah * zrib_i / SQRT( 1._wp + zrib_i ) ) ! Eq. 27 |
|---|
| 1137 | ENDIF |
|---|
| 1138 | |
|---|
| 1139 | ! Momentum Transfert Coefficients (Eq. 38) |
|---|
| 1140 | Cd(ji,jj) = zCdn_skin_ice * zfmi + & |
|---|
| 1141 | & zCdn_form_ice * ( zfmi * at_i_b(ji,jj) + zfmw * ( 1._wp - at_i_b(ji,jj) ) ) / MAX( 1.e-06, at_i_b(ji,jj) ) |
|---|
| 1142 | |
|---|
| 1143 | ! Heat Transfert Coefficients (Eq. 49) |
|---|
| 1144 | Ch(ji,jj) = zChn_skin_ice * zfhi + & |
|---|
| 1145 | & zChn_form_ice * ( zfhi * at_i_b(ji,jj) + zfhw * ( 1._wp - at_i_b(ji,jj) ) ) / MAX( 1.e-06, at_i_b(ji,jj) ) |
|---|
| 1146 | ! |
|---|
| 1147 | END DO |
|---|
| 1148 | END DO |
|---|
| 1149 | CALL lbc_lnk_multi( 'sbcblk', Cd, 'T', 1., Ch, 'T', 1. ) |
|---|
| 1150 | ! |
|---|
| 1151 | END SUBROUTINE Cdn10_Lupkes2015 |
|---|
| 1152 | |
|---|
| 1153 | #endif |
|---|
| 1154 | |
|---|
| 1155 | !!====================================================================== |
|---|
| 1156 | END MODULE sbcblk |
|---|
