[6723] | 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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[7163] | 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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[6723] | 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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[7163] | 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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[6727] | 17 | !! ==> based on AeroBulk (http://aerobulk.sourceforge.net/) |
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[7163] | 18 | !! 4.0 ! 2016-10 (G. Madec) introduce a sbc_blk_init routine |
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[6723] | 19 | !!---------------------------------------------------------------------- |
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| 20 | |
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| 21 | !!---------------------------------------------------------------------- |
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[7163] | 22 | !! sbc_blk_init : initialisation of the chosen bulk formulation as ocean surface boundary condition |
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| 23 | !! sbc_blk : bulk formulation as ocean surface boundary condition |
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[6727] | 24 | !! blk_oce : computes momentum, heat and freshwater fluxes over ocean |
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[7163] | 25 | !! blk_ice : computes momentum, heat and freshwater fluxes over sea ice |
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[6727] | 26 | !! rho_air : density of (moist) air (depends on T_air, q_air and SLP |
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| 27 | !! cp_air : specific heat of (moist) air (depends spec. hum. q_air) |
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| 28 | !! q_sat : saturation humidity as a function of SLP and temperature |
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| 29 | !! L_vap : latent heat of vaporization of water as a function of temperature |
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[6723] | 30 | !!---------------------------------------------------------------------- |
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| 31 | USE oce ! ocean dynamics and tracers |
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| 32 | USE dom_oce ! ocean space and time domain |
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| 33 | USE phycst ! physical constants |
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| 34 | USE fldread ! read input fields |
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| 35 | USE sbc_oce ! Surface boundary condition: ocean fields |
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| 36 | USE cyclone ! Cyclone 10m wind form trac of cyclone centres |
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| 37 | USE sbcdcy ! surface boundary condition: diurnal cycle |
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| 38 | USE sbcwave , ONLY : cdn_wave ! wave module |
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| 39 | USE sbc_ice ! Surface boundary condition: ice fields |
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| 40 | USE lib_fortran ! to use key_nosignedzero |
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| 41 | #if defined key_lim3 |
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[8585] | 42 | USE ice , ONLY : u_ice, v_ice, jpl, a_i_b, at_i_b, tm_su |
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[8422] | 43 | USE icethd_dh ! for CALL ice_thd_snwblow |
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[6723] | 44 | #endif |
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| 45 | USE sbcblk_algo_ncar ! => turb_ncar : NCAR - CORE (Large & Yeager, 2009) |
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| 46 | USE sbcblk_algo_coare ! => turb_coare : COAREv3.0 (Fairall et al. 2003) |
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| 47 | USE sbcblk_algo_coare3p5 ! => turb_coare3p5 : COAREv3.5 (Edson et al. 2013) |
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| 48 | USE sbcblk_algo_ecmwf ! => turb_ecmwf : ECMWF (IFS cycle 31) |
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[6727] | 49 | ! |
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[6723] | 50 | USE iom ! I/O manager library |
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| 51 | USE in_out_manager ! I/O manager |
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| 52 | USE lib_mpp ! distribued memory computing library |
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| 53 | USE wrk_nemo ! work arrays |
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| 54 | USE timing ! Timing |
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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 | IMPLICIT NONE |
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| 59 | PRIVATE |
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| 60 | |
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[7163] | 61 | PUBLIC sbc_blk_init ! called in sbcmod |
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| 62 | PUBLIC sbc_blk ! called in sbcmod |
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[8306] | 63 | #if defined key_lim3 |
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[8321] | 64 | PUBLIC blk_ice_tau ! routine called in icestp module |
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| 65 | PUBLIC blk_ice_flx ! routine called in icestp module |
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[6723] | 66 | #endif |
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| 67 | |
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[6727] | 68 | !!Lolo: should ultimately be moved in the module with all physical constants ? |
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| 69 | !!gm : In principle, yes. |
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[6723] | 70 | REAL(wp), PARAMETER :: Cp_dry = 1005.0 !: Specic heat of dry air, constant pressure [J/K/kg] |
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| 71 | REAL(wp), PARAMETER :: Cp_vap = 1860.0 !: Specic heat of water vapor, constant pressure [J/K/kg] |
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| 72 | REAL(wp), PARAMETER :: R_dry = 287.05_wp !: Specific gas constant for dry air [J/K/kg] |
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| 73 | REAL(wp), PARAMETER :: R_vap = 461.495_wp !: Specific gas constant for water vapor [J/K/kg] |
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| 74 | REAL(wp), PARAMETER :: reps0 = R_dry/R_vap !: ratio of gas constant for dry air and water vapor => ~ 0.622 |
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| 75 | REAL(wp), PARAMETER :: rctv0 = R_vap/R_dry !: for virtual temperature (== (1-eps)/eps) => ~ 0.608 |
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| 76 | |
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| 77 | INTEGER , PARAMETER :: jpfld =10 ! maximum number of files to read |
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| 78 | INTEGER , PARAMETER :: jp_wndi = 1 ! index of 10m wind velocity (i-component) (m/s) at T-point |
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| 79 | INTEGER , PARAMETER :: jp_wndj = 2 ! index of 10m wind velocity (j-component) (m/s) at T-point |
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[7163] | 80 | INTEGER , PARAMETER :: jp_tair = 3 ! index of 10m air temperature (Kelvin) |
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| 81 | INTEGER , PARAMETER :: jp_humi = 4 ! index of specific humidity ( % ) |
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| 82 | INTEGER , PARAMETER :: jp_qsr = 5 ! index of solar heat (W/m2) |
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| 83 | INTEGER , PARAMETER :: jp_qlw = 6 ! index of Long wave (W/m2) |
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[6723] | 84 | INTEGER , PARAMETER :: jp_prec = 7 ! index of total precipitation (rain+snow) (Kg/m2/s) |
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| 85 | INTEGER , PARAMETER :: jp_snow = 8 ! index of snow (solid prcipitation) (kg/m2/s) |
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[7421] | 86 | INTEGER , PARAMETER :: jp_slp = 9 ! index of sea level pressure (Pa) |
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[6723] | 87 | INTEGER , PARAMETER :: jp_tdif =10 ! index of tau diff associated to HF tau (N/m2) at T-point |
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| 88 | |
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| 89 | TYPE(FLD), ALLOCATABLE, DIMENSION(:) :: sf ! structure of input fields (file informations, fields read) |
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| 90 | |
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| 91 | ! !!! Bulk parameters |
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[7355] | 92 | REAL(wp), PARAMETER :: cpa = 1000.5 ! specific heat of air (only used for ice fluxes now...) |
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| 93 | REAL(wp), PARAMETER :: Ls = 2.839e6 ! latent heat of sublimation |
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| 94 | REAL(wp), PARAMETER :: Stef = 5.67e-8 ! Stefan Boltzmann constant |
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[8585] | 95 | REAL(wp), PARAMETER :: Cd_ice = 1.4e-3 ! transfer coefficient over ice |
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[7355] | 96 | REAL(wp), PARAMETER :: albo = 0.066 ! ocean albedo assumed to be constant |
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[6723] | 97 | ! |
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| 98 | ! !!* Namelist namsbc_blk : bulk parameters |
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| 99 | LOGICAL :: ln_NCAR ! "NCAR" algorithm (Large and Yeager 2008) |
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| 100 | LOGICAL :: ln_COARE_3p0 ! "COARE 3.0" algorithm (Fairall et al. 2003) |
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| 101 | LOGICAL :: ln_COARE_3p5 ! "COARE 3.5" algorithm (Edson et al. 2013) |
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| 102 | LOGICAL :: ln_ECMWF ! "ECMWF" algorithm (IFS cycle 31) |
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| 103 | ! |
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| 104 | LOGICAL :: ln_taudif ! logical flag to use the "mean of stress module - module of mean stress" data |
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| 105 | REAL(wp) :: rn_pfac ! multiplication factor for precipitation |
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| 106 | REAL(wp) :: rn_efac ! multiplication factor for evaporation (clem) |
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| 107 | REAL(wp) :: rn_vfac ! multiplication factor for ice/ocean velocity in the calculation of wind stress (clem) |
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| 108 | REAL(wp) :: rn_zqt ! z(q,t) : height of humidity and temperature measurements |
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| 109 | REAL(wp) :: rn_zu ! z(u) : height of wind measurements |
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[8585] | 110 | LOGICAL :: ln_Cd_L12 = .FALSE. ! Modify the drag ice-atm depending on ice concentration (from Lupkes et al. JGR2012) |
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| 111 | LOGICAL :: ln_Cd_L15 = .FALSE. ! Modify the drag ice-atm depending on ice concentration (from Lupkes et al. JGR2015) |
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[7355] | 112 | ! |
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[8585] | 113 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: Cd_atm ! transfer coefficient for momentum (tau) |
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| 114 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: Ch_atm ! transfer coefficient for sensible heat (Q_sens) |
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| 115 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: Ce_atm ! tansfert coefficient for evaporation (Q_lat) |
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| 116 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: t_zu ! air temperature at wind speed height (needed by Lupkes 2015 bulk scheme) |
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| 117 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: q_zu ! air spec. hum. at wind speed height (needed by Lupkes 2015 bulk scheme) |
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| 118 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: cdn_oce, chn_oce, cen_oce ! needed by Lupkes 2015 bulk scheme |
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[6723] | 119 | |
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| 120 | INTEGER :: nblk ! choice of the bulk algorithm |
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| 121 | ! ! associated indices: |
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| 122 | INTEGER, PARAMETER :: np_NCAR = 1 ! "NCAR" algorithm (Large and Yeager 2008) |
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| 123 | INTEGER, PARAMETER :: np_COARE_3p0 = 2 ! "COARE 3.0" algorithm (Fairall et al. 2003) |
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| 124 | INTEGER, PARAMETER :: np_COARE_3p5 = 3 ! "COARE 3.5" algorithm (Edson et al. 2013) |
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| 125 | INTEGER, PARAMETER :: np_ECMWF = 4 ! "ECMWF" algorithm (IFS cycle 31) |
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| 126 | |
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| 127 | !! * Substitutions |
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| 128 | # include "vectopt_loop_substitute.h90" |
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| 129 | !!---------------------------------------------------------------------- |
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| 130 | !! NEMO/OPA 3.7 , NEMO-consortium (2014) |
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| 131 | !! $Id: sbcblk.F90 6416 2016-04-01 12:22:17Z clem $ |
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| 132 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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| 133 | !!---------------------------------------------------------------------- |
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| 134 | CONTAINS |
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| 135 | |
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[7355] | 136 | INTEGER FUNCTION sbc_blk_alloc() |
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| 137 | !!------------------------------------------------------------------- |
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| 138 | !! *** ROUTINE sbc_blk_alloc *** |
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| 139 | !!------------------------------------------------------------------- |
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[8585] | 140 | 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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| 141 | & cdn_oce(jpi,jpj), chn_oce(jpi,jpj), cen_oce(jpi,jpj), STAT=sbc_blk_alloc ) |
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[7355] | 142 | ! |
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| 143 | IF( lk_mpp ) CALL mpp_sum ( sbc_blk_alloc ) |
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| 144 | IF( sbc_blk_alloc /= 0 ) CALL ctl_warn('sbc_blk_alloc: failed to allocate arrays') |
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| 145 | END FUNCTION sbc_blk_alloc |
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| 146 | |
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[7163] | 147 | SUBROUTINE sbc_blk_init |
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| 148 | !!--------------------------------------------------------------------- |
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| 149 | !! *** ROUTINE sbc_blk_init *** |
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| 150 | !! |
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| 151 | !! ** Purpose : choose and initialize a bulk formulae formulation |
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| 152 | !! |
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| 153 | !! ** Method : |
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| 154 | !! |
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| 155 | !! C A U T I O N : never mask the surface stress fields |
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| 156 | !! the stress is assumed to be in the (i,j) mesh referential |
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| 157 | !! |
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| 158 | !! ** Action : |
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| 159 | !! |
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| 160 | !!---------------------------------------------------------------------- |
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| 161 | INTEGER :: ifpr, jfld ! dummy loop indice and argument |
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| 162 | INTEGER :: ios, ierror, ioptio ! Local integer |
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| 163 | !! |
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| 164 | CHARACTER(len=100) :: cn_dir ! Root directory for location of atmospheric forcing files |
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| 165 | TYPE(FLD_N), DIMENSION(jpfld) :: slf_i ! array of namelist informations on the fields to read |
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| 166 | TYPE(FLD_N) :: sn_wndi, sn_wndj, sn_humi, sn_qsr ! informations about the fields to be read |
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| 167 | TYPE(FLD_N) :: sn_qlw , sn_tair, sn_prec, sn_snow ! " " |
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| 168 | TYPE(FLD_N) :: sn_slp , sn_tdif ! " " |
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| 169 | NAMELIST/namsbc_blk/ sn_wndi, sn_wndj, sn_humi, sn_qsr, sn_qlw , & ! input fields |
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| 170 | & sn_tair, sn_prec, sn_snow, sn_slp, sn_tdif, & |
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| 171 | & ln_NCAR, ln_COARE_3p0, ln_COARE_3p5, ln_ECMWF, & ! bulk algorithm |
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[7355] | 172 | & cn_dir , ln_taudif, rn_zqt, rn_zu, & |
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[8585] | 173 | & rn_pfac, rn_efac, rn_vfac, ln_Cd_L12, ln_Cd_L15 |
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[7163] | 174 | !!--------------------------------------------------------------------- |
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| 175 | ! |
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[7355] | 176 | ! ! allocate sbc_blk_core array |
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| 177 | IF( sbc_blk_alloc() /= 0 ) CALL ctl_stop( 'STOP', 'sbc_blk : unable to allocate standard arrays' ) |
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| 178 | ! |
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[7163] | 179 | ! !** read bulk namelist |
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| 180 | REWIND( numnam_ref ) !* Namelist namsbc_blk in reference namelist : bulk parameters |
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| 181 | READ ( numnam_ref, namsbc_blk, IOSTAT = ios, ERR = 901) |
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| 182 | 901 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namsbc_blk in reference namelist', lwp ) |
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| 183 | ! |
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| 184 | REWIND( numnam_cfg ) !* Namelist namsbc_blk in configuration namelist : bulk parameters |
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| 185 | READ ( numnam_cfg, namsbc_blk, IOSTAT = ios, ERR = 902 ) |
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| 186 | 902 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namsbc_blk in configuration namelist', lwp ) |
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| 187 | ! |
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| 188 | IF(lwm) WRITE( numond, namsbc_blk ) |
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| 189 | ! |
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| 190 | ! !** initialization of the chosen bulk formulae (+ check) |
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| 191 | ! !* select the bulk chosen in the namelist and check the choice |
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| 192 | ; ioptio = 0 |
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| 193 | IF( ln_NCAR ) THEN ; nblk = np_NCAR ; ioptio = ioptio + 1 ; ENDIF |
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| 194 | IF( ln_COARE_3p0 ) THEN ; nblk = np_COARE_3p0 ; ioptio = ioptio + 1 ; ENDIF |
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| 195 | IF( ln_COARE_3p5 ) THEN ; nblk = np_COARE_3p5 ; ioptio = ioptio + 1 ; ENDIF |
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| 196 | IF( ln_ECMWF ) THEN ; nblk = np_ECMWF ; ioptio = ioptio + 1 ; ENDIF |
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| 197 | ! |
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| 198 | IF( ioptio /= 1 ) CALL ctl_stop( 'sbc_blk_init: Choose one and only one bulk algorithm' ) |
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| 199 | ! |
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| 200 | IF( ln_dm2dc ) THEN !* check: diurnal cycle on Qsr |
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| 201 | IF( sn_qsr%nfreqh /= 24 ) CALL ctl_stop( 'sbc_blk_init: ln_dm2dc=T only with daily short-wave input' ) |
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| 202 | IF( sn_qsr%ln_tint ) THEN |
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| 203 | CALL ctl_warn( 'sbc_blk_init: ln_dm2dc=T daily qsr time interpolation done by sbcdcy module', & |
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| 204 | & ' ==> We force time interpolation = .false. for qsr' ) |
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| 205 | sn_qsr%ln_tint = .false. |
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| 206 | ENDIF |
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| 207 | ENDIF |
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| 208 | ! !* set the bulk structure |
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| 209 | ! !- store namelist information in an array |
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| 210 | slf_i(jp_wndi) = sn_wndi ; slf_i(jp_wndj) = sn_wndj |
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| 211 | slf_i(jp_qsr ) = sn_qsr ; slf_i(jp_qlw ) = sn_qlw |
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| 212 | slf_i(jp_tair) = sn_tair ; slf_i(jp_humi) = sn_humi |
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| 213 | slf_i(jp_prec) = sn_prec ; slf_i(jp_snow) = sn_snow |
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| 214 | slf_i(jp_slp) = sn_slp ; slf_i(jp_tdif) = sn_tdif |
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| 215 | ! |
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| 216 | lhftau = ln_taudif !- add an extra field if HF stress is used |
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| 217 | jfld = jpfld - COUNT( (/.NOT.lhftau/) ) |
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| 218 | ! |
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| 219 | ! !- allocate the bulk structure |
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| 220 | ALLOCATE( sf(jfld), STAT=ierror ) |
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| 221 | IF( ierror > 0 ) CALL ctl_stop( 'STOP', 'sbc_blk_init: unable to allocate sf structure' ) |
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| 222 | DO ifpr= 1, jfld |
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| 223 | ALLOCATE( sf(ifpr)%fnow(jpi,jpj,1) ) |
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| 224 | IF( slf_i(ifpr)%ln_tint ) ALLOCATE( sf(ifpr)%fdta(jpi,jpj,1,2) ) |
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| 225 | END DO |
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| 226 | ! !- fill the bulk structure with namelist informations |
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| 227 | CALL fld_fill( sf, slf_i, cn_dir, 'sbc_blk_init', 'surface boundary condition -- bulk formulae', 'namsbc_blk' ) |
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| 228 | ! |
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[7431] | 229 | IF ( ln_wave ) THEN |
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| 230 | !Activated wave module but neither drag nor stokes drift activated |
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| 231 | IF ( .NOT.(ln_cdgw .OR. ln_sdw .OR. ln_tauoc .OR. ln_stcor ) ) THEN |
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| 232 | CALL ctl_warn( 'Ask for wave coupling but ln_cdgw=F, ln_sdw=F, ln_tauoc=F, ln_stcor=F') |
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| 233 | !drag coefficient read from wave model definable only with mfs bulk formulae and core |
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| 234 | ELSEIF (ln_cdgw .AND. .NOT. ln_NCAR ) THEN |
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| 235 | CALL ctl_stop( 'drag coefficient read from wave model definable only with mfs bulk formulae and core') |
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| 236 | ELSEIF (ln_stcor .AND. .NOT. ln_sdw) THEN |
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| 237 | CALL ctl_stop( 'Stokes-Coriolis term calculated only if activated Stokes Drift ln_sdw=T') |
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| 238 | ENDIF |
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| 239 | ELSE |
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| 240 | IF ( ln_cdgw .OR. ln_sdw .OR. ln_tauoc .OR. ln_stcor ) & |
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| 241 | & CALL ctl_stop( 'Not Activated Wave Module (ln_wave=F) but asked coupling ', & |
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| 242 | & 'with drag coefficient (ln_cdgw =T) ' , & |
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| 243 | & 'or Stokes Drift (ln_sdw=T) ' , & |
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| 244 | & 'or ocean stress modification due to waves (ln_tauoc=T) ', & |
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| 245 | & 'or Stokes-Coriolis term (ln_stcori=T)' ) |
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| 246 | ENDIF |
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| 247 | ! |
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[7163] | 248 | ! |
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| 249 | IF(lwp) THEN !** Control print |
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| 250 | ! |
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| 251 | WRITE(numout,*) !* namelist |
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| 252 | WRITE(numout,*) ' Namelist namsbc_blk (other than data information):' |
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| 253 | WRITE(numout,*) ' "NCAR" algorithm (Large and Yeager 2008) ln_NCAR = ', ln_NCAR |
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| 254 | WRITE(numout,*) ' "COARE 3.0" algorithm (Fairall et al. 2003) ln_COARE_3p0 = ', ln_COARE_3p0 |
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| 255 | WRITE(numout,*) ' "COARE 3.5" algorithm (Edson et al. 2013) ln_COARE_3p5 = ', ln_COARE_3p0 |
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| 256 | WRITE(numout,*) ' "ECMWF" algorithm (IFS cycle 31) ln_ECMWF = ', ln_ECMWF |
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| 257 | WRITE(numout,*) ' add High freq.contribution to the stress module ln_taudif = ', ln_taudif |
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| 258 | WRITE(numout,*) ' Air temperature and humidity reference height (m) rn_zqt = ', rn_zqt |
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| 259 | WRITE(numout,*) ' Wind vector reference height (m) rn_zu = ', rn_zu |
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| 260 | WRITE(numout,*) ' factor applied on precipitation (total & snow) rn_pfac = ', rn_pfac |
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| 261 | WRITE(numout,*) ' factor applied on evaporation rn_efac = ', rn_efac |
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| 262 | WRITE(numout,*) ' factor applied on ocean/ice velocity rn_vfac = ', rn_vfac |
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| 263 | WRITE(numout,*) ' (form absolute (=0) to relative winds(=1))' |
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[8585] | 264 | WRITE(numout,*) ' use ice-atm drag from Lupkes2012 ln_Cd_L12 = ', ln_Cd_L12 |
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| 265 | WRITE(numout,*) ' use ice-atm drag from Lupkes2015 ln_Cd_L15 = ', ln_Cd_L15 |
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[7163] | 266 | ! |
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| 267 | WRITE(numout,*) |
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| 268 | SELECT CASE( nblk ) !* Print the choice of bulk algorithm |
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| 269 | CASE( np_NCAR ) ; WRITE(numout,*) ' ===>> "NCAR" algorithm (Large and Yeager 2008)' |
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| 270 | CASE( np_COARE_3p0 ) ; WRITE(numout,*) ' ===>> "COARE 3.0" algorithm (Fairall et al. 2003)' |
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| 271 | CASE( np_COARE_3p5 ) ; WRITE(numout,*) ' ===>> "COARE 3.5" algorithm (Edson et al. 2013)' |
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| 272 | CASE( np_ECMWF ) ; WRITE(numout,*) ' ===>> "ECMWF" algorithm (IFS cycle 31)' |
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| 273 | END SELECT |
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| 274 | ! |
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| 275 | ENDIF |
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| 276 | ! |
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| 277 | END SUBROUTINE sbc_blk_init |
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| 278 | |
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| 279 | |
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[6723] | 280 | SUBROUTINE sbc_blk( kt ) |
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| 281 | !!--------------------------------------------------------------------- |
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| 282 | !! *** ROUTINE sbc_blk *** |
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| 283 | !! |
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| 284 | !! ** Purpose : provide at each time step the surface ocean fluxes |
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| 285 | !! (momentum, heat, freshwater and runoff) |
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| 286 | !! |
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| 287 | !! ** Method : (1) READ each fluxes in NetCDF files: |
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| 288 | !! the 10m wind velocity (i-component) (m/s) at T-point |
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| 289 | !! the 10m wind velocity (j-component) (m/s) at T-point |
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| 290 | !! the 10m or 2m specific humidity ( % ) |
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| 291 | !! the solar heat (W/m2) |
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| 292 | !! the Long wave (W/m2) |
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| 293 | !! the 10m or 2m air temperature (Kelvin) |
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| 294 | !! the total precipitation (rain+snow) (Kg/m2/s) |
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| 295 | !! the snow (solid prcipitation) (kg/m2/s) |
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| 296 | !! the tau diff associated to HF tau (N/m2) at T-point (ln_taudif=T) |
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| 297 | !! (2) CALL blk_oce |
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| 298 | !! |
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| 299 | !! C A U T I O N : never mask the surface stress fields |
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| 300 | !! the stress is assumed to be in the (i,j) mesh referential |
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| 301 | !! |
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| 302 | !! ** Action : defined at each time-step at the air-sea interface |
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| 303 | !! - utau, vtau i- and j-component of the wind stress |
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| 304 | !! - taum wind stress module at T-point |
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| 305 | !! - wndm wind speed module at T-point over free ocean or leads in presence of sea-ice |
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| 306 | !! - qns, qsr non-solar and solar heat fluxes |
---|
| 307 | !! - emp upward mass flux (evapo. - precip.) |
---|
| 308 | !! - sfx salt flux due to freezing/melting (non-zero only if ice is present) |
---|
| 309 | !! (set in limsbc(_2).F90) |
---|
| 310 | !! |
---|
| 311 | !! ** References : Large & Yeager, 2004 / Large & Yeager, 2008 |
---|
| 312 | !! Brodeau et al. Ocean Modelling 2010 |
---|
| 313 | !!---------------------------------------------------------------------- |
---|
| 314 | INTEGER, INTENT(in) :: kt ! ocean time step |
---|
| 315 | !!--------------------------------------------------------------------- |
---|
| 316 | ! |
---|
| 317 | CALL fld_read( kt, nn_fsbc, sf ) ! input fields provided at the current time-step |
---|
[7163] | 318 | ! |
---|
[6723] | 319 | ! ! compute the surface ocean fluxes using bulk formulea |
---|
| 320 | IF( MOD( kt - 1, nn_fsbc ) == 0 ) CALL blk_oce( kt, sf, sst_m, ssu_m, ssv_m ) |
---|
| 321 | |
---|
| 322 | #if defined key_cice |
---|
| 323 | IF( MOD( kt - 1, nn_fsbc ) == 0 ) THEN |
---|
[7753] | 324 | qlw_ice(:,:,1) = sf(jp_qlw )%fnow(:,:,1) |
---|
| 325 | IF( ln_dm2dc ) THEN ; qsr_ice(:,:,1) = sbc_dcy( sf(jp_qsr)%fnow(:,:,1) ) |
---|
| 326 | ELSE ; qsr_ice(:,:,1) = sf(jp_qsr)%fnow(:,:,1) |
---|
[7282] | 327 | ENDIF |
---|
[7753] | 328 | tatm_ice(:,:) = sf(jp_tair)%fnow(:,:,1) |
---|
| 329 | qatm_ice(:,:) = sf(jp_humi)%fnow(:,:,1) |
---|
| 330 | tprecip(:,:) = sf(jp_prec)%fnow(:,:,1) * rn_pfac |
---|
| 331 | sprecip(:,:) = sf(jp_snow)%fnow(:,:,1) * rn_pfac |
---|
| 332 | wndi_ice(:,:) = sf(jp_wndi)%fnow(:,:,1) |
---|
| 333 | wndj_ice(:,:) = sf(jp_wndj)%fnow(:,:,1) |
---|
[6723] | 334 | ENDIF |
---|
| 335 | #endif |
---|
| 336 | ! |
---|
| 337 | END SUBROUTINE sbc_blk |
---|
| 338 | |
---|
| 339 | |
---|
| 340 | SUBROUTINE blk_oce( kt, sf, pst, pu, pv ) |
---|
| 341 | !!--------------------------------------------------------------------- |
---|
| 342 | !! *** ROUTINE blk_oce *** |
---|
| 343 | !! |
---|
| 344 | !! ** Purpose : provide the momentum, heat and freshwater fluxes at |
---|
| 345 | !! the ocean surface at each time step |
---|
| 346 | !! |
---|
| 347 | !! ** Method : bulk formulea for the ocean using atmospheric |
---|
| 348 | !! fields read in sbc_read |
---|
| 349 | !! |
---|
| 350 | !! ** Outputs : - utau : i-component of the stress at U-point (N/m2) |
---|
| 351 | !! - vtau : j-component of the stress at V-point (N/m2) |
---|
| 352 | !! - taum : Wind stress module at T-point (N/m2) |
---|
| 353 | !! - wndm : Wind speed module at T-point (m/s) |
---|
| 354 | !! - qsr : Solar heat flux over the ocean (W/m2) |
---|
| 355 | !! - qns : Non Solar heat flux over the ocean (W/m2) |
---|
| 356 | !! - emp : evaporation minus precipitation (kg/m2/s) |
---|
| 357 | !! |
---|
| 358 | !! ** Nota : sf has to be a dummy argument for AGRIF on NEC |
---|
| 359 | !!--------------------------------------------------------------------- |
---|
| 360 | INTEGER , INTENT(in ) :: kt ! time step index |
---|
| 361 | TYPE(fld), INTENT(inout), DIMENSION(:) :: sf ! input data |
---|
| 362 | REAL(wp) , INTENT(in) , DIMENSION(:,:) :: pst ! surface temperature [Celcius] |
---|
| 363 | REAL(wp) , INTENT(in) , DIMENSION(:,:) :: pu ! surface current at U-point (i-component) [m/s] |
---|
| 364 | REAL(wp) , INTENT(in) , DIMENSION(:,:) :: pv ! surface current at V-point (j-component) [m/s] |
---|
| 365 | ! |
---|
| 366 | INTEGER :: ji, jj ! dummy loop indices |
---|
| 367 | REAL(wp) :: zztmp ! local variable |
---|
| 368 | REAL(wp), DIMENSION(:,:), POINTER :: zwnd_i, zwnd_j ! wind speed components at T-point |
---|
| 369 | REAL(wp), DIMENSION(:,:), POINTER :: zsq ! specific humidity at pst |
---|
| 370 | REAL(wp), DIMENSION(:,:), POINTER :: zqlw, zqsb ! long wave and sensible heat fluxes |
---|
| 371 | REAL(wp), DIMENSION(:,:), POINTER :: zqla, zevap ! latent heat fluxes and evaporation |
---|
| 372 | REAL(wp), DIMENSION(:,:), POINTER :: zst ! surface temperature in Kelvin |
---|
| 373 | REAL(wp), DIMENSION(:,:), POINTER :: zU_zu ! bulk wind speed at height zu [m/s] |
---|
| 374 | REAL(wp), DIMENSION(:,:), POINTER :: ztpot ! potential temperature of air at z=rn_zqt [K] |
---|
| 375 | REAL(wp), DIMENSION(:,:), POINTER :: zrhoa ! density of air [kg/m^3] |
---|
| 376 | !!--------------------------------------------------------------------- |
---|
| 377 | ! |
---|
| 378 | IF( nn_timing == 1 ) CALL timing_start('blk_oce') |
---|
| 379 | ! |
---|
| 380 | CALL wrk_alloc( jpi,jpj, zwnd_i, zwnd_j, zsq, zqlw, zqsb, zqla, zevap ) |
---|
[8585] | 381 | CALL wrk_alloc( jpi,jpj, zst, zU_zu, ztpot, zrhoa ) |
---|
[6723] | 382 | ! |
---|
| 383 | |
---|
[7753] | 384 | ! local scalars ( place there for vector optimisation purposes) |
---|
| 385 | zst(:,:) = pst(:,:) + rt0 ! convert SST from Celcius to Kelvin (and set minimum value far above 0 K) |
---|
[6723] | 386 | |
---|
| 387 | ! ----------------------------------------------------------------------------- ! |
---|
| 388 | ! 0 Wind components and module at T-point relative to the moving ocean ! |
---|
| 389 | ! ----------------------------------------------------------------------------- ! |
---|
| 390 | |
---|
[7753] | 391 | ! ... components ( U10m - U_oce ) at T-point (unmasked) |
---|
| 392 | !!gm move zwnd_i (_j) set to zero inside the key_cyclone ??? |
---|
| 393 | zwnd_i(:,:) = 0._wp |
---|
| 394 | zwnd_j(:,:) = 0._wp |
---|
[6723] | 395 | #if defined key_cyclone |
---|
| 396 | CALL wnd_cyc( kt, zwnd_i, zwnd_j ) ! add analytical tropical cyclone (Vincent et al. JGR 2012) |
---|
| 397 | DO jj = 2, jpjm1 |
---|
| 398 | DO ji = fs_2, fs_jpim1 ! vect. opt. |
---|
| 399 | sf(jp_wndi)%fnow(ji,jj,1) = sf(jp_wndi)%fnow(ji,jj,1) + zwnd_i(ji,jj) |
---|
| 400 | sf(jp_wndj)%fnow(ji,jj,1) = sf(jp_wndj)%fnow(ji,jj,1) + zwnd_j(ji,jj) |
---|
| 401 | END DO |
---|
| 402 | END DO |
---|
| 403 | #endif |
---|
| 404 | DO jj = 2, jpjm1 |
---|
| 405 | DO ji = fs_2, fs_jpim1 ! vect. opt. |
---|
| 406 | zwnd_i(ji,jj) = ( sf(jp_wndi)%fnow(ji,jj,1) - rn_vfac * 0.5 * ( pu(ji-1,jj ) + pu(ji,jj) ) ) |
---|
| 407 | zwnd_j(ji,jj) = ( sf(jp_wndj)%fnow(ji,jj,1) - rn_vfac * 0.5 * ( pv(ji ,jj-1) + pv(ji,jj) ) ) |
---|
| 408 | END DO |
---|
| 409 | END DO |
---|
| 410 | CALL lbc_lnk( zwnd_i(:,:) , 'T', -1. ) |
---|
| 411 | CALL lbc_lnk( zwnd_j(:,:) , 'T', -1. ) |
---|
| 412 | ! ... scalar wind ( = | U10m - U_oce | ) at T-point (masked) |
---|
[7753] | 413 | wndm(:,:) = SQRT( zwnd_i(:,:) * zwnd_i(:,:) & |
---|
| 414 | & + zwnd_j(:,:) * zwnd_j(:,:) ) * tmask(:,:,1) |
---|
[6723] | 415 | |
---|
| 416 | ! ----------------------------------------------------------------------------- ! |
---|
| 417 | ! I Radiative FLUXES ! |
---|
| 418 | ! ----------------------------------------------------------------------------- ! |
---|
| 419 | |
---|
| 420 | ! ocean albedo assumed to be constant + modify now Qsr to include the diurnal cycle ! Short Wave |
---|
| 421 | zztmp = 1. - albo |
---|
| 422 | IF( ln_dm2dc ) THEN ; qsr(:,:) = zztmp * sbc_dcy( sf(jp_qsr)%fnow(:,:,1) ) * tmask(:,:,1) |
---|
[7753] | 423 | ELSE ; qsr(:,:) = zztmp * sf(jp_qsr)%fnow(:,:,1) * tmask(:,:,1) |
---|
[6723] | 424 | ENDIF |
---|
| 425 | |
---|
[7753] | 426 | zqlw(:,:) = ( sf(jp_qlw)%fnow(:,:,1) - Stef * zst(:,:)*zst(:,:)*zst(:,:)*zst(:,:) ) * tmask(:,:,1) ! Long Wave |
---|
[6723] | 427 | |
---|
| 428 | ! ----------------------------------------------------------------------------- ! |
---|
| 429 | ! II Turbulent FLUXES ! |
---|
| 430 | ! ----------------------------------------------------------------------------- ! |
---|
| 431 | |
---|
| 432 | ! ... specific humidity at SST and IST tmask( |
---|
[6727] | 433 | zsq(:,:) = 0.98 * q_sat( zst(:,:), sf(jp_slp)%fnow(:,:,1) ) |
---|
[6723] | 434 | !! |
---|
| 435 | !! Estimate of potential temperature at z=rn_zqt, based on adiabatic lapse-rate |
---|
| 436 | !! (see Josey, Gulev & Yu, 2013) / doi=10.1016/B978-0-12-391851-2.00005-2 |
---|
| 437 | !! (since reanalysis products provide T at z, not theta !) |
---|
[6727] | 438 | ztpot = sf(jp_tair)%fnow(:,:,1) + gamma_moist( sf(jp_tair)%fnow(:,:,1), sf(jp_humi)%fnow(:,:,1) ) * rn_zqt |
---|
[6723] | 439 | |
---|
| 440 | SELECT CASE( nblk ) !== transfer coefficients ==! Cd, Ch, Ce at T-point |
---|
[6727] | 441 | ! |
---|
| 442 | CASE( np_NCAR ) ; CALL turb_ncar ( rn_zqt, rn_zu, zst, ztpot, zsq, sf(jp_humi)%fnow, wndm, & ! NCAR-COREv2 |
---|
[8585] | 443 | & Cd_atm, Ch_atm, Ce_atm, t_zu, q_zu, zU_zu, cdn_oce, chn_oce, cen_oce ) |
---|
[6727] | 444 | CASE( np_COARE_3p0 ) ; CALL turb_coare ( rn_zqt, rn_zu, zst, ztpot, zsq, sf(jp_humi)%fnow, wndm, & ! COARE v3.0 |
---|
[8585] | 445 | & Cd_atm, Ch_atm, Ce_atm, t_zu, q_zu, zU_zu, cdn_oce, chn_oce, cen_oce ) |
---|
[6727] | 446 | CASE( np_COARE_3p5 ) ; CALL turb_coare3p5( rn_zqt, rn_zu, zst, ztpot, zsq, sf(jp_humi)%fnow, wndm, & ! COARE v3.5 |
---|
[8585] | 447 | & Cd_atm, Ch_atm, Ce_atm, t_zu, q_zu, zU_zu, cdn_oce, chn_oce, cen_oce ) |
---|
[6727] | 448 | CASE( np_ECMWF ) ; CALL turb_ecmwf ( rn_zqt, rn_zu, zst, ztpot, zsq, sf(jp_humi)%fnow, wndm, & ! ECMWF |
---|
[8585] | 449 | & Cd_atm, Ch_atm, Ce_atm, t_zu, q_zu, zU_zu, cdn_oce, chn_oce, cen_oce ) |
---|
[6723] | 450 | CASE DEFAULT |
---|
[7163] | 451 | CALL ctl_stop( 'STOP', 'sbc_oce: non-existing bulk formula selected' ) |
---|
[6723] | 452 | END SELECT |
---|
| 453 | |
---|
[6727] | 454 | ! ! Compute true air density : |
---|
| 455 | IF( ABS(rn_zu - rn_zqt) > 0.01 ) THEN ! At zu: (probably useless to remove zrho*grav*rn_zu from SLP...) |
---|
[8585] | 456 | zrhoa(:,:) = rho_air( t_zu(:,:) , q_zu(:,:) , sf(jp_slp)%fnow(:,:,1) ) |
---|
[6727] | 457 | ELSE ! At zt: |
---|
| 458 | zrhoa(:,:) = rho_air( sf(jp_tair)%fnow(:,:,1), sf(jp_humi)%fnow(:,:,1), sf(jp_slp)%fnow(:,:,1) ) |
---|
[6723] | 459 | END IF |
---|
| 460 | |
---|
[8585] | 461 | !! CALL iom_put( "Cd_oce", Cd_atm) ! output value of pure ocean-atm. transfer coef. |
---|
| 462 | !! CALL iom_put( "Ch_oce", Ch_atm) ! output value of pure ocean-atm. transfer coef. |
---|
[7355] | 463 | |
---|
[6727] | 464 | DO jj = 1, jpj ! tau module, i and j component |
---|
[6723] | 465 | DO ji = 1, jpi |
---|
[8585] | 466 | zztmp = zrhoa(ji,jj) * zU_zu(ji,jj) * Cd_atm(ji,jj) ! using bulk wind speed |
---|
[6723] | 467 | taum (ji,jj) = zztmp * wndm (ji,jj) |
---|
| 468 | zwnd_i(ji,jj) = zztmp * zwnd_i(ji,jj) |
---|
| 469 | zwnd_j(ji,jj) = zztmp * zwnd_j(ji,jj) |
---|
| 470 | END DO |
---|
| 471 | END DO |
---|
| 472 | |
---|
[6727] | 473 | ! ! add the HF tau contribution to the wind stress module |
---|
[7753] | 474 | IF( lhftau ) taum(:,:) = taum(:,:) + sf(jp_tdif)%fnow(:,:,1) |
---|
[6727] | 475 | |
---|
[6723] | 476 | CALL iom_put( "taum_oce", taum ) ! output wind stress module |
---|
| 477 | |
---|
| 478 | ! ... utau, vtau at U- and V_points, resp. |
---|
| 479 | ! Note the use of 0.5*(2-umask) in order to unmask the stress along coastlines |
---|
| 480 | ! Note the use of MAX(tmask(i,j),tmask(i+1,j) is to mask tau over ice shelves |
---|
| 481 | DO jj = 1, jpjm1 |
---|
| 482 | DO ji = 1, fs_jpim1 |
---|
| 483 | utau(ji,jj) = 0.5 * ( 2. - umask(ji,jj,1) ) * ( zwnd_i(ji,jj) + zwnd_i(ji+1,jj ) ) & |
---|
| 484 | & * MAX(tmask(ji,jj,1),tmask(ji+1,jj,1)) |
---|
| 485 | vtau(ji,jj) = 0.5 * ( 2. - vmask(ji,jj,1) ) * ( zwnd_j(ji,jj) + zwnd_j(ji ,jj+1) ) & |
---|
| 486 | & * MAX(tmask(ji,jj,1),tmask(ji,jj+1,1)) |
---|
| 487 | END DO |
---|
| 488 | END DO |
---|
| 489 | CALL lbc_lnk( utau(:,:), 'U', -1. ) |
---|
| 490 | CALL lbc_lnk( vtau(:,:), 'V', -1. ) |
---|
| 491 | |
---|
| 492 | |
---|
| 493 | ! Turbulent fluxes over ocean |
---|
| 494 | ! ----------------------------- |
---|
| 495 | |
---|
| 496 | ! zqla used as temporary array, for rho*U (common term of bulk formulae): |
---|
[7753] | 497 | zqla(:,:) = zrhoa(:,:) * zU_zu(:,:) |
---|
[6723] | 498 | |
---|
| 499 | IF( ABS( rn_zu - rn_zqt) < 0.01_wp ) THEN |
---|
| 500 | !! q_air and t_air are given at 10m (wind reference height) |
---|
[8585] | 501 | zevap(:,:) = rn_efac*MAX( 0._wp, zqla(:,:)*Ce_atm(:,:)*(zsq(:,:) - sf(jp_humi)%fnow(:,:,1)) ) ! Evaporation, using bulk wind speed |
---|
| 502 | zqsb (:,:) = cp_air(sf(jp_humi)%fnow(:,:,1))*zqla(:,:)*Ch_atm(:,:)*(zst(:,:) - ztpot(:,:) ) ! Sensible Heat, using bulk wind speed |
---|
[6723] | 503 | ELSE |
---|
| 504 | !! q_air and t_air are not given at 10m (wind reference height) |
---|
| 505 | ! Values of temp. and hum. adjusted to height of wind during bulk algorithm iteration must be used!!! |
---|
[8585] | 506 | zevap(:,:) = rn_efac*MAX( 0._wp, zqla(:,:)*Ce_atm(:,:)*(zsq(:,:) - q_zu(:,:) ) ) ! Evaporation, using bulk wind speed |
---|
| 507 | zqsb (:,:) = cp_air(sf(jp_humi)%fnow(:,:,1))*zqla(:,:)*Ch_atm(:,:)*(zst(:,:) - t_zu(:,:) ) ! Sensible Heat, using bulk wind speed |
---|
[6723] | 508 | ENDIF |
---|
| 509 | |
---|
[6727] | 510 | zqla(:,:) = L_vap(zst(:,:)) * zevap(:,:) ! Latent Heat flux |
---|
[6723] | 511 | |
---|
| 512 | |
---|
| 513 | IF(ln_ctl) THEN |
---|
[8585] | 514 | CALL prt_ctl( tab2d_1=zqla , clinfo1=' blk_oce: zqla : ', tab2d_2=Ce_atm , clinfo2=' Ce_oce : ' ) |
---|
| 515 | CALL prt_ctl( tab2d_1=zqsb , clinfo1=' blk_oce: zqsb : ', tab2d_2=Ch_atm , clinfo2=' Ch_oce : ' ) |
---|
[6723] | 516 | CALL prt_ctl( tab2d_1=zqlw , clinfo1=' blk_oce: zqlw : ', tab2d_2=qsr, clinfo2=' qsr : ' ) |
---|
| 517 | CALL prt_ctl( tab2d_1=zsq , clinfo1=' blk_oce: zsq : ', tab2d_2=zst, clinfo2=' zst : ' ) |
---|
| 518 | CALL prt_ctl( tab2d_1=utau , clinfo1=' blk_oce: utau : ', mask1=umask, & |
---|
| 519 | & tab2d_2=vtau , clinfo2= ' vtau : ', mask2=vmask ) |
---|
| 520 | CALL prt_ctl( tab2d_1=wndm , clinfo1=' blk_oce: wndm : ') |
---|
| 521 | CALL prt_ctl( tab2d_1=zst , clinfo1=' blk_oce: zst : ') |
---|
| 522 | ENDIF |
---|
| 523 | |
---|
| 524 | ! ----------------------------------------------------------------------------- ! |
---|
| 525 | ! III Total FLUXES ! |
---|
| 526 | ! ----------------------------------------------------------------------------- ! |
---|
| 527 | ! |
---|
[7753] | 528 | emp (:,:) = ( zevap(:,:) & ! mass flux (evap. - precip.) |
---|
| 529 | & - sf(jp_prec)%fnow(:,:,1) * rn_pfac ) * tmask(:,:,1) |
---|
| 530 | ! |
---|
| 531 | qns(:,:) = zqlw(:,:) - zqsb(:,:) - zqla(:,:) & ! Downward Non Solar |
---|
| 532 | & - sf(jp_snow)%fnow(:,:,1) * rn_pfac * lfus & ! remove latent melting heat for solid precip |
---|
| 533 | & - zevap(:,:) * pst(:,:) * rcp & ! remove evap heat content at SST |
---|
| 534 | & + ( sf(jp_prec)%fnow(:,:,1) - sf(jp_snow)%fnow(:,:,1) ) * rn_pfac & ! add liquid precip heat content at Tair |
---|
| 535 | & * ( sf(jp_tair)%fnow(:,:,1) - rt0 ) * rcp & |
---|
| 536 | & + sf(jp_snow)%fnow(:,:,1) * rn_pfac & ! add solid precip heat content at min(Tair,Tsnow) |
---|
| 537 | & * ( MIN( sf(jp_tair)%fnow(:,:,1), rt0_snow ) - rt0 ) * cpic * tmask(:,:,1) |
---|
| 538 | ! |
---|
[6723] | 539 | #if defined key_lim3 |
---|
[7753] | 540 | qns_oce(:,:) = zqlw(:,:) - zqsb(:,:) - zqla(:,:) ! non solar without emp (only needed by LIM3) |
---|
| 541 | qsr_oce(:,:) = qsr(:,:) |
---|
[6723] | 542 | #endif |
---|
| 543 | ! |
---|
| 544 | IF ( nn_ice == 0 ) THEN |
---|
| 545 | CALL iom_put( "qlw_oce" , zqlw ) ! output downward longwave heat over the ocean |
---|
| 546 | CALL iom_put( "qsb_oce" , - zqsb ) ! output downward sensible heat over the ocean |
---|
| 547 | CALL iom_put( "qla_oce" , - zqla ) ! output downward latent heat over the ocean |
---|
| 548 | CALL iom_put( "qemp_oce", qns-zqlw+zqsb+zqla ) ! output downward heat content of E-P over the ocean |
---|
| 549 | CALL iom_put( "qns_oce" , qns ) ! output downward non solar heat over the ocean |
---|
| 550 | CALL iom_put( "qsr_oce" , qsr ) ! output downward solar heat over the ocean |
---|
| 551 | CALL iom_put( "qt_oce" , qns+qsr ) ! output total downward heat over the ocean |
---|
[7753] | 552 | tprecip(:,:) = sf(jp_prec)%fnow(:,:,1) * rn_pfac ! output total precipitation [kg/m2/s] |
---|
| 553 | sprecip(:,:) = sf(jp_snow)%fnow(:,:,1) * rn_pfac ! output solid precipitation [kg/m2/s] |
---|
[6723] | 554 | CALL iom_put( 'snowpre', sprecip * 86400. ) ! Snow |
---|
| 555 | CALL iom_put( 'precip' , tprecip * 86400. ) ! Total precipitation |
---|
| 556 | ENDIF |
---|
| 557 | ! |
---|
| 558 | IF(ln_ctl) THEN |
---|
| 559 | CALL prt_ctl(tab2d_1=zqsb , clinfo1=' blk_oce: zqsb : ', tab2d_2=zqlw , clinfo2=' zqlw : ') |
---|
| 560 | CALL prt_ctl(tab2d_1=zqla , clinfo1=' blk_oce: zqla : ', tab2d_2=qsr , clinfo2=' qsr : ') |
---|
| 561 | CALL prt_ctl(tab2d_1=pst , clinfo1=' blk_oce: pst : ', tab2d_2=emp , clinfo2=' emp : ') |
---|
| 562 | CALL prt_ctl(tab2d_1=utau , clinfo1=' blk_oce: utau : ', mask1=umask, & |
---|
| 563 | & tab2d_2=vtau , clinfo2= ' vtau : ' , mask2=vmask ) |
---|
| 564 | ENDIF |
---|
| 565 | ! |
---|
| 566 | CALL wrk_dealloc( jpi,jpj, zwnd_i, zwnd_j, zsq, zqlw, zqsb, zqla, zevap ) |
---|
[8585] | 567 | CALL wrk_dealloc( jpi,jpj, zst, zU_zu, ztpot, zrhoa ) |
---|
[6723] | 568 | ! |
---|
| 569 | IF( nn_timing == 1 ) CALL timing_stop('blk_oce') |
---|
| 570 | ! |
---|
| 571 | END SUBROUTINE blk_oce |
---|
| 572 | |
---|
[8306] | 573 | #if defined key_lim3 |
---|
[6723] | 574 | |
---|
| 575 | SUBROUTINE blk_ice_tau |
---|
| 576 | !!--------------------------------------------------------------------- |
---|
| 577 | !! *** ROUTINE blk_ice_tau *** |
---|
| 578 | !! |
---|
| 579 | !! ** Purpose : provide the surface boundary condition over sea-ice |
---|
| 580 | !! |
---|
| 581 | !! ** Method : compute momentum using bulk formulation |
---|
| 582 | !! formulea, ice variables and read atmospheric fields. |
---|
| 583 | !! NB: ice drag coefficient is assumed to be a constant |
---|
| 584 | !!--------------------------------------------------------------------- |
---|
| 585 | INTEGER :: ji, jj ! dummy loop indices |
---|
| 586 | ! |
---|
[7355] | 587 | REAL(wp), DIMENSION(:,:) , POINTER :: zrhoa |
---|
[6723] | 588 | ! |
---|
| 589 | REAL(wp) :: zwnorm_f, zwndi_f , zwndj_f ! relative wind module and components at F-point |
---|
| 590 | REAL(wp) :: zwndi_t , zwndj_t ! relative wind components at T-point |
---|
| 591 | !!--------------------------------------------------------------------- |
---|
| 592 | ! |
---|
| 593 | IF( nn_timing == 1 ) CALL timing_start('blk_ice_tau') |
---|
| 594 | ! |
---|
[7355] | 595 | CALL wrk_alloc( jpi,jpj, zrhoa ) |
---|
[6723] | 596 | |
---|
[8585] | 597 | ! set transfer coefficients to default sea-ice values |
---|
| 598 | Cd_atm(:,:) = Cd_ice |
---|
| 599 | Ch_atm(:,:) = Cd_ice |
---|
| 600 | Ce_atm(:,:) = Cd_ice |
---|
[7355] | 601 | |
---|
[8585] | 602 | wndm_ice(:,:) = 0._wp !!gm brutal.... |
---|
| 603 | |
---|
| 604 | ! ------------------------------------------------------------ ! |
---|
| 605 | ! Wind module relative to the moving ice ( U10m - U_ice ) ! |
---|
| 606 | ! ------------------------------------------------------------ ! |
---|
| 607 | SELECT CASE( cp_ice_msh ) |
---|
| 608 | CASE( 'I' ) ! B-grid ice dynamics : I-point (i.e. F-point with sea-ice indexation) |
---|
| 609 | ! and scalar wind at T-point ( = | U10m - U_ice | ) (masked) |
---|
| 610 | DO jj = 2, jpjm1 |
---|
| 611 | DO ji = 2, jpim1 ! B grid : NO vector opt |
---|
| 612 | ! ... scalar wind at T-point (fld being at T-point) |
---|
| 613 | zwndi_t = sf(jp_wndi)%fnow(ji,jj,1) - rn_vfac * 0.25 * ( u_ice(ji,jj+1) + u_ice(ji+1,jj+1) & |
---|
| 614 | & + u_ice(ji,jj ) + u_ice(ji+1,jj ) ) |
---|
| 615 | zwndj_t = sf(jp_wndj)%fnow(ji,jj,1) - rn_vfac * 0.25 * ( v_ice(ji,jj+1) + v_ice(ji+1,jj+1) & |
---|
| 616 | & + v_ice(ji,jj ) + v_ice(ji+1,jj ) ) |
---|
| 617 | wndm_ice(ji,jj) = SQRT( zwndi_t * zwndi_t + zwndj_t * zwndj_t ) * tmask(ji,jj,1) |
---|
| 618 | END DO |
---|
| 619 | END DO |
---|
| 620 | CALL lbc_lnk( wndm_ice, 'T', 1. ) |
---|
| 621 | ! |
---|
| 622 | CASE( 'C' ) ! C-grid ice dynamics : U & V-points (same as ocean) |
---|
| 623 | DO jj = 2, jpjm1 |
---|
| 624 | DO ji = fs_2, fs_jpim1 ! vect. opt. |
---|
| 625 | zwndi_t = ( sf(jp_wndi)%fnow(ji,jj,1) - rn_vfac * 0.5 * ( u_ice(ji-1,jj ) + u_ice(ji,jj) ) ) |
---|
| 626 | zwndj_t = ( sf(jp_wndj)%fnow(ji,jj,1) - rn_vfac * 0.5 * ( v_ice(ji ,jj-1) + v_ice(ji,jj) ) ) |
---|
| 627 | wndm_ice(ji,jj) = SQRT( zwndi_t * zwndi_t + zwndj_t * zwndj_t ) * tmask(ji,jj,1) |
---|
| 628 | END DO |
---|
| 629 | END DO |
---|
| 630 | CALL lbc_lnk( wndm_ice, 'T', 1. ) |
---|
| 631 | ! |
---|
| 632 | END SELECT |
---|
| 633 | |
---|
| 634 | ! Make ice-atm. drag dependent on ice concentration |
---|
| 635 | IF ( ln_Cd_L12 ) THEN ! calculate new drag from Lupkes(2012) equations |
---|
| 636 | CALL Cdn10_Lupkes2012( Cd_atm ) |
---|
| 637 | Ch_atm(:,:) = Cd_atm(:,:) ! momentum and heat transfer coef. are considered identical |
---|
| 638 | ELSEIF( ln_Cd_L15 ) THEN ! calculate new drag from Lupkes(2015) equations |
---|
| 639 | CALL Cdn10_Lupkes2015( Cd_atm, Ch_atm ) |
---|
[7355] | 640 | ENDIF |
---|
| 641 | |
---|
[8585] | 642 | !! CALL iom_put( "Cd_ice", Cd_atm) ! output value of pure ice-atm. transfer coef. |
---|
| 643 | !! CALL iom_put( "Ch_ice", Ch_atm) ! output value of pure ice-atm. transfer coef. |
---|
| 644 | |
---|
[6723] | 645 | ! local scalars ( place there for vector optimisation purposes) |
---|
| 646 | ! Computing density of air! Way denser that 1.2 over sea-ice !!! |
---|
[7355] | 647 | zrhoa (:,:) = rho_air(sf(jp_tair)%fnow(:,:,1), sf(jp_humi)%fnow(:,:,1), sf(jp_slp)%fnow(:,:,1)) |
---|
[6723] | 648 | |
---|
[7753] | 649 | !!gm brutal.... |
---|
| 650 | utau_ice (:,:) = 0._wp |
---|
| 651 | vtau_ice (:,:) = 0._wp |
---|
| 652 | !!gm end |
---|
[6723] | 653 | |
---|
[8585] | 654 | ! ------------------------------------------------------------ ! |
---|
| 655 | ! Wind stress relative to the moving ice ( U10m - U_ice ) ! |
---|
| 656 | ! ------------------------------------------------------------ ! |
---|
[6723] | 657 | SELECT CASE( cp_ice_msh ) |
---|
| 658 | CASE( 'I' ) ! B-grid ice dynamics : I-point (i.e. F-point with sea-ice indexation) |
---|
| 659 | DO jj = 2, jpjm1 |
---|
| 660 | DO ji = 2, jpim1 ! B grid : NO vector opt |
---|
| 661 | ! ... scalar wind at I-point (fld being at T-point) |
---|
| 662 | zwndi_f = 0.25 * ( sf(jp_wndi)%fnow(ji-1,jj ,1) + sf(jp_wndi)%fnow(ji ,jj ,1) & |
---|
| 663 | & + sf(jp_wndi)%fnow(ji-1,jj-1,1) + sf(jp_wndi)%fnow(ji ,jj-1,1) ) - rn_vfac * u_ice(ji,jj) |
---|
| 664 | zwndj_f = 0.25 * ( sf(jp_wndj)%fnow(ji-1,jj ,1) + sf(jp_wndj)%fnow(ji ,jj ,1) & |
---|
| 665 | & + sf(jp_wndj)%fnow(ji-1,jj-1,1) + sf(jp_wndj)%fnow(ji ,jj-1,1) ) - rn_vfac * v_ice(ji,jj) |
---|
| 666 | ! ... ice stress at I-point |
---|
[8585] | 667 | zwnorm_f = zrhoa(ji,jj) * Cd_atm(ji,jj) * SQRT( zwndi_f * zwndi_f + zwndj_f * zwndj_f ) |
---|
[6723] | 668 | utau_ice(ji,jj) = zwnorm_f * zwndi_f |
---|
| 669 | vtau_ice(ji,jj) = zwnorm_f * zwndj_f |
---|
| 670 | END DO |
---|
| 671 | END DO |
---|
| 672 | CALL lbc_lnk( utau_ice, 'I', -1. ) |
---|
| 673 | CALL lbc_lnk( vtau_ice, 'I', -1. ) |
---|
| 674 | ! |
---|
| 675 | CASE( 'C' ) ! C-grid ice dynamics : U & V-points (same as ocean) |
---|
| 676 | DO jj = 2, jpjm1 |
---|
| 677 | DO ji = fs_2, fs_jpim1 ! vect. opt. |
---|
[8585] | 678 | utau_ice(ji,jj) = 0.5 * zrhoa(ji,jj) * Cd_atm(ji,jj) * ( wndm_ice(ji+1,jj ) + wndm_ice(ji,jj) ) & |
---|
[6723] | 679 | & * ( 0.5 * (sf(jp_wndi)%fnow(ji+1,jj,1) + sf(jp_wndi)%fnow(ji,jj,1) ) - rn_vfac * u_ice(ji,jj) ) |
---|
[8585] | 680 | vtau_ice(ji,jj) = 0.5 * zrhoa(ji,jj) * Cd_atm(ji,jj) * ( wndm_ice(ji,jj+1 ) + wndm_ice(ji,jj) ) & |
---|
[6723] | 681 | & * ( 0.5 * (sf(jp_wndj)%fnow(ji,jj+1,1) + sf(jp_wndj)%fnow(ji,jj,1) ) - rn_vfac * v_ice(ji,jj) ) |
---|
| 682 | END DO |
---|
| 683 | END DO |
---|
| 684 | CALL lbc_lnk( utau_ice, 'U', -1. ) |
---|
| 685 | CALL lbc_lnk( vtau_ice, 'V', -1. ) |
---|
| 686 | ! |
---|
| 687 | END SELECT |
---|
| 688 | |
---|
| 689 | IF(ln_ctl) THEN |
---|
| 690 | CALL prt_ctl(tab2d_1=utau_ice , clinfo1=' blk_ice: utau_ice : ', tab2d_2=vtau_ice , clinfo2=' vtau_ice : ') |
---|
| 691 | CALL prt_ctl(tab2d_1=wndm_ice , clinfo1=' blk_ice: wndm_ice : ') |
---|
| 692 | ENDIF |
---|
| 693 | |
---|
| 694 | IF( nn_timing == 1 ) CALL timing_stop('blk_ice_tau') |
---|
| 695 | |
---|
| 696 | END SUBROUTINE blk_ice_tau |
---|
| 697 | |
---|
| 698 | |
---|
| 699 | SUBROUTINE blk_ice_flx( ptsu, palb ) |
---|
| 700 | !!--------------------------------------------------------------------- |
---|
| 701 | !! *** ROUTINE blk_ice_flx *** |
---|
| 702 | !! |
---|
| 703 | !! ** Purpose : provide the surface boundary condition over sea-ice |
---|
| 704 | !! |
---|
| 705 | !! ** Method : compute heat and freshwater exchanged |
---|
| 706 | !! between atmosphere and sea-ice using bulk formulation |
---|
| 707 | !! formulea, ice variables and read atmmospheric fields. |
---|
| 708 | !! |
---|
| 709 | !! caution : the net upward water flux has with mm/day unit |
---|
| 710 | !!--------------------------------------------------------------------- |
---|
[6727] | 711 | REAL(wp), DIMENSION(:,:,:), INTENT(in) :: ptsu ! sea ice surface temperature |
---|
| 712 | REAL(wp), DIMENSION(:,:,:), INTENT(in) :: palb ! ice albedo (all skies) |
---|
[6723] | 713 | !! |
---|
[6727] | 714 | INTEGER :: ji, jj, jl ! dummy loop indices |
---|
| 715 | REAL(wp) :: zst2, zst3 ! local variable |
---|
| 716 | REAL(wp) :: zcoef_dqlw, zcoef_dqla ! - - |
---|
| 717 | REAL(wp) :: zztmp, z1_lsub ! - - |
---|
| 718 | REAL(wp), DIMENSION(:,:,:), POINTER :: z_qlw ! long wave heat flux over ice |
---|
| 719 | REAL(wp), DIMENSION(:,:,:), POINTER :: z_qsb ! sensible heat flux over ice |
---|
| 720 | REAL(wp), DIMENSION(:,:,:), POINTER :: z_dqlw ! long wave heat sensitivity over ice |
---|
| 721 | REAL(wp), DIMENSION(:,:,:), POINTER :: z_dqsb ! sensible heat sensitivity over ice |
---|
| 722 | REAL(wp), DIMENSION(:,:) , POINTER :: zevap, zsnw ! evaporation and snw distribution after wind blowing (LIM3) |
---|
[6723] | 723 | REAL(wp), DIMENSION(:,:) , POINTER :: zrhoa |
---|
| 724 | !!--------------------------------------------------------------------- |
---|
| 725 | ! |
---|
| 726 | IF( nn_timing == 1 ) CALL timing_start('blk_ice_flx') |
---|
| 727 | ! |
---|
[7753] | 728 | CALL wrk_alloc( jpi,jpj,jpl, z_qlw, z_qsb, z_dqlw, z_dqsb ) |
---|
[8585] | 729 | CALL wrk_alloc( jpi,jpj, zrhoa ) |
---|
[6723] | 730 | ! |
---|
[8585] | 731 | ! local scalars |
---|
[6723] | 732 | zcoef_dqlw = 4.0 * 0.95 * Stef |
---|
[7355] | 733 | zcoef_dqla = -Ls * 11637800. * (-5897.8) |
---|
[6723] | 734 | ! |
---|
[6727] | 735 | zrhoa(:,:) = rho_air( sf(jp_tair)%fnow(:,:,1), sf(jp_humi)%fnow(:,:,1), sf(jp_slp)%fnow(:,:,1) ) |
---|
[6723] | 736 | ! |
---|
| 737 | zztmp = 1. / ( 1. - albo ) |
---|
[7753] | 738 | ! ! ========================== ! |
---|
| 739 | DO jl = 1, jpl ! Loop over ice categories ! |
---|
| 740 | ! ! ========================== ! |
---|
[6723] | 741 | DO jj = 1 , jpj |
---|
| 742 | DO ji = 1, jpi |
---|
| 743 | ! ----------------------------! |
---|
| 744 | ! I Radiative FLUXES ! |
---|
| 745 | ! ----------------------------! |
---|
| 746 | zst2 = ptsu(ji,jj,jl) * ptsu(ji,jj,jl) |
---|
| 747 | zst3 = ptsu(ji,jj,jl) * zst2 |
---|
| 748 | ! Short Wave (sw) |
---|
| 749 | qsr_ice(ji,jj,jl) = zztmp * ( 1. - palb(ji,jj,jl) ) * qsr(ji,jj) |
---|
| 750 | ! Long Wave (lw) |
---|
| 751 | z_qlw(ji,jj,jl) = 0.95 * ( sf(jp_qlw)%fnow(ji,jj,1) - Stef * ptsu(ji,jj,jl) * zst3 ) * tmask(ji,jj,1) |
---|
| 752 | ! lw sensitivity |
---|
| 753 | z_dqlw(ji,jj,jl) = zcoef_dqlw * zst3 |
---|
| 754 | |
---|
| 755 | ! ----------------------------! |
---|
| 756 | ! II Turbulent FLUXES ! |
---|
| 757 | ! ----------------------------! |
---|
| 758 | |
---|
[8585] | 759 | ! ... turbulent heat fluxes with Ch_atm recalculated in blk_ice_tau |
---|
[6723] | 760 | ! Sensible Heat |
---|
[8585] | 761 | z_qsb(ji,jj,jl) = zrhoa(ji,jj) * cpa * Ch_atm(ji,jj) * wndm_ice(ji,jj) * (ptsu(ji,jj,jl) - sf(jp_tair)%fnow(ji,jj,1)) |
---|
[6723] | 762 | ! Latent Heat |
---|
[8585] | 763 | qla_ice(ji,jj,jl) = rn_efac * MAX( 0.e0, zrhoa(ji,jj) * Ls * Ch_atm(ji,jj) * wndm_ice(ji,jj) * & |
---|
| 764 | & ( 11637800. * EXP( -5897.8 / ptsu(ji,jj,jl) ) / zrhoa(ji,jj) - sf(jp_humi)%fnow(ji,jj,1) ) ) |
---|
[6723] | 765 | ! Latent heat sensitivity for ice (Dqla/Dt) |
---|
| 766 | IF( qla_ice(ji,jj,jl) > 0._wp ) THEN |
---|
[8585] | 767 | dqla_ice(ji,jj,jl) = rn_efac * zcoef_dqla * Ch_atm(ji,jj) * wndm_ice(ji,jj) / zst2 * EXP(-5897.8 / ptsu(ji,jj,jl)) |
---|
[6723] | 768 | ELSE |
---|
| 769 | dqla_ice(ji,jj,jl) = 0._wp |
---|
| 770 | ENDIF |
---|
| 771 | |
---|
| 772 | ! Sensible heat sensitivity (Dqsb_ice/Dtn_ice) |
---|
[8585] | 773 | z_dqsb(ji,jj,jl) = zrhoa(ji,jj) * cpa * Ch_atm(ji,jj) * wndm_ice(ji,jj) |
---|
[6723] | 774 | |
---|
| 775 | ! ----------------------------! |
---|
| 776 | ! III Total FLUXES ! |
---|
| 777 | ! ----------------------------! |
---|
| 778 | ! Downward Non Solar flux |
---|
| 779 | qns_ice (ji,jj,jl) = z_qlw (ji,jj,jl) - z_qsb (ji,jj,jl) - qla_ice (ji,jj,jl) |
---|
| 780 | ! Total non solar heat flux sensitivity for ice |
---|
| 781 | dqns_ice(ji,jj,jl) = - ( z_dqlw(ji,jj,jl) + z_dqsb(ji,jj,jl) + dqla_ice(ji,jj,jl) ) |
---|
| 782 | END DO |
---|
| 783 | ! |
---|
| 784 | END DO |
---|
| 785 | ! |
---|
| 786 | END DO |
---|
| 787 | ! |
---|
[7753] | 788 | tprecip(:,:) = sf(jp_prec)%fnow(:,:,1) * rn_pfac ! total precipitation [kg/m2/s] |
---|
| 789 | sprecip(:,:) = sf(jp_snow)%fnow(:,:,1) * rn_pfac ! solid precipitation [kg/m2/s] |
---|
[6723] | 790 | CALL iom_put( 'snowpre', sprecip * 86400. ) ! Snow precipitation |
---|
| 791 | CALL iom_put( 'precip' , tprecip * 86400. ) ! Total precipitation |
---|
| 792 | |
---|
| 793 | CALL wrk_alloc( jpi,jpj, zevap, zsnw ) |
---|
| 794 | |
---|
| 795 | ! --- evaporation --- ! |
---|
| 796 | z1_lsub = 1._wp / Lsub |
---|
[7753] | 797 | evap_ice (:,:,:) = rn_efac * qla_ice (:,:,:) * z1_lsub ! sublimation |
---|
| 798 | devap_ice(:,:,:) = rn_efac * dqla_ice(:,:,:) * z1_lsub ! d(sublimation)/dT |
---|
| 799 | zevap (:,:) = rn_efac * ( emp(:,:) + tprecip(:,:) ) ! evaporation over ocean |
---|
[6723] | 800 | |
---|
[7753] | 801 | ! --- evaporation minus precipitation --- ! |
---|
| 802 | zsnw(:,:) = 0._wp |
---|
[8422] | 803 | CALL ice_thd_snwblow( (1.-at_i_b(:,:)), zsnw ) ! snow distribution over ice after wind blowing |
---|
[8313] | 804 | emp_oce(:,:) = ( 1._wp - at_i_b(:,:) ) * zevap(:,:) - ( tprecip(:,:) - sprecip(:,:) ) - sprecip(:,:) * (1._wp - zsnw ) |
---|
[7753] | 805 | emp_ice(:,:) = SUM( a_i_b(:,:,:) * evap_ice(:,:,:), dim=3 ) - sprecip(:,:) * zsnw |
---|
| 806 | emp_tot(:,:) = emp_oce(:,:) + emp_ice(:,:) |
---|
[6723] | 807 | |
---|
[7753] | 808 | ! --- heat flux associated with emp --- ! |
---|
[8313] | 809 | qemp_oce(:,:) = - ( 1._wp - at_i_b(:,:) ) * zevap(:,:) * sst_m(:,:) * rcp & ! evap at sst |
---|
[7753] | 810 | & + ( tprecip(:,:) - sprecip(:,:) ) * ( sf(jp_tair)%fnow(:,:,1) - rt0 ) * rcp & ! liquid precip at Tair |
---|
| 811 | & + sprecip(:,:) * ( 1._wp - zsnw ) * & ! solid precip at min(Tair,Tsnow) |
---|
| 812 | & ( ( MIN( sf(jp_tair)%fnow(:,:,1), rt0_snow ) - rt0 ) * cpic * tmask(:,:,1) - lfus ) |
---|
| 813 | qemp_ice(:,:) = sprecip(:,:) * zsnw * & ! solid precip (only) |
---|
| 814 | & ( ( MIN( sf(jp_tair)%fnow(:,:,1), rt0_snow ) - rt0 ) * cpic * tmask(:,:,1) - lfus ) |
---|
[6723] | 815 | |
---|
[7753] | 816 | ! --- total solar and non solar fluxes --- ! |
---|
[8313] | 817 | qns_tot(:,:) = ( 1._wp - at_i_b(:,:) ) * qns_oce(:,:) + SUM( a_i_b(:,:,:) * qns_ice(:,:,:), dim=3 ) & |
---|
| 818 | & + qemp_ice(:,:) + qemp_oce(:,:) |
---|
| 819 | qsr_tot(:,:) = ( 1._wp - at_i_b(:,:) ) * qsr_oce(:,:) + SUM( a_i_b(:,:,:) * qsr_ice(:,:,:), dim=3 ) |
---|
[6723] | 820 | |
---|
[7753] | 821 | ! --- heat content of precip over ice in J/m3 (to be used in 1D-thermo) --- ! |
---|
| 822 | qprec_ice(:,:) = rhosn * ( ( MIN( sf(jp_tair)%fnow(:,:,1), rt0_snow ) - rt0 ) * cpic * tmask(:,:,1) - lfus ) |
---|
[6723] | 823 | |
---|
[7504] | 824 | ! --- heat content of evap over ice in W/m2 (to be used in 1D-thermo) --- |
---|
| 825 | DO jl = 1, jpl |
---|
[7753] | 826 | qevap_ice(:,:,jl) = 0._wp ! should be -evap_ice(:,:,jl)*( ( Tice - rt0 ) * cpic * tmask(:,:,1) ) |
---|
| 827 | ! But we do not have Tice => consider it at 0degC => evap=0 |
---|
[7504] | 828 | END DO |
---|
| 829 | |
---|
[6723] | 830 | CALL wrk_dealloc( jpi,jpj, zevap, zsnw ) |
---|
| 831 | |
---|
| 832 | !-------------------------------------------------------------------- |
---|
| 833 | ! FRACTIONs of net shortwave radiation which is not absorbed in the |
---|
| 834 | ! thin surface layer and penetrates inside the ice cover |
---|
| 835 | ! ( Maykut and Untersteiner, 1971 ; Ebert and Curry, 1993 ) |
---|
| 836 | ! |
---|
[7753] | 837 | fr1_i0(:,:) = ( 0.18 * ( 1.0 - cldf_ice ) + 0.35 * cldf_ice ) |
---|
| 838 | fr2_i0(:,:) = ( 0.82 * ( 1.0 - cldf_ice ) + 0.65 * cldf_ice ) |
---|
[6723] | 839 | ! |
---|
| 840 | ! |
---|
| 841 | IF(ln_ctl) THEN |
---|
| 842 | CALL prt_ctl(tab3d_1=qla_ice , clinfo1=' blk_ice: qla_ice : ', tab3d_2=z_qsb , clinfo2=' z_qsb : ', kdim=jpl) |
---|
| 843 | CALL prt_ctl(tab3d_1=z_qlw , clinfo1=' blk_ice: z_qlw : ', tab3d_2=dqla_ice, clinfo2=' dqla_ice : ', kdim=jpl) |
---|
| 844 | CALL prt_ctl(tab3d_1=z_dqsb , clinfo1=' blk_ice: z_dqsb : ', tab3d_2=z_dqlw , clinfo2=' z_dqlw : ', kdim=jpl) |
---|
| 845 | CALL prt_ctl(tab3d_1=dqns_ice, clinfo1=' blk_ice: dqns_ice : ', tab3d_2=qsr_ice , clinfo2=' qsr_ice : ', kdim=jpl) |
---|
| 846 | CALL prt_ctl(tab3d_1=ptsu , clinfo1=' blk_ice: ptsu : ', tab3d_2=qns_ice , clinfo2=' qns_ice : ', kdim=jpl) |
---|
| 847 | CALL prt_ctl(tab2d_1=tprecip , clinfo1=' blk_ice: tprecip : ', tab2d_2=sprecip , clinfo2=' sprecip : ') |
---|
| 848 | ENDIF |
---|
| 849 | |
---|
[7753] | 850 | CALL wrk_dealloc( jpi,jpj,jpl, z_qlw, z_qsb, z_dqlw, z_dqsb ) |
---|
[6723] | 851 | CALL wrk_dealloc( jpi,jpj, zrhoa ) |
---|
| 852 | ! |
---|
| 853 | IF( nn_timing == 1 ) CALL timing_stop('blk_ice_flx') |
---|
| 854 | |
---|
| 855 | END SUBROUTINE blk_ice_flx |
---|
[6727] | 856 | |
---|
[6723] | 857 | #endif |
---|
| 858 | |
---|
| 859 | FUNCTION rho_air( ptak, pqa, pslp ) |
---|
| 860 | !!------------------------------------------------------------------------------- |
---|
[6727] | 861 | !! *** FUNCTION rho_air *** |
---|
[6723] | 862 | !! |
---|
[6727] | 863 | !! ** Purpose : compute density of (moist) air using the eq. of state of the atmosphere |
---|
| 864 | !! |
---|
[6723] | 865 | !! ** Author: L. Brodeau, june 2016 / AeroBulk (https://sourceforge.net/p/aerobulk) |
---|
| 866 | !!------------------------------------------------------------------------------- |
---|
[6727] | 867 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: ptak ! air temperature [K] |
---|
| 868 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: pqa ! air specific humidity [kg/kg] |
---|
| 869 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: pslp ! pressure in [Pa] |
---|
| 870 | REAL(wp), DIMENSION(jpi,jpj) :: rho_air ! density of moist air [kg/m^3] |
---|
[6723] | 871 | !!------------------------------------------------------------------------------- |
---|
| 872 | ! |
---|
[6727] | 873 | rho_air = pslp / ( R_dry*ptak * ( 1._wp + rctv0*pqa ) ) |
---|
[6723] | 874 | ! |
---|
| 875 | END FUNCTION rho_air |
---|
| 876 | |
---|
| 877 | |
---|
| 878 | FUNCTION cp_air( pqa ) |
---|
| 879 | !!------------------------------------------------------------------------------- |
---|
[6727] | 880 | !! *** FUNCTION cp_air *** |
---|
| 881 | !! |
---|
[6723] | 882 | !! ** Purpose : Compute specific heat (Cp) of moist air |
---|
| 883 | !! |
---|
| 884 | !! ** Author: L. Brodeau, june 2016 / AeroBulk (https://sourceforge.net/p/aerobulk) |
---|
| 885 | !!------------------------------------------------------------------------------- |
---|
[6727] | 886 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: pqa ! air specific humidity [kg/kg] |
---|
| 887 | REAL(wp), DIMENSION(jpi,jpj) :: cp_air ! specific heat of moist air [J/K/kg] |
---|
[6723] | 888 | !!------------------------------------------------------------------------------- |
---|
| 889 | ! |
---|
[6727] | 890 | Cp_air = Cp_dry + Cp_vap * pqa |
---|
[6723] | 891 | ! |
---|
| 892 | END FUNCTION cp_air |
---|
| 893 | |
---|
| 894 | |
---|
| 895 | FUNCTION q_sat( ptak, pslp ) |
---|
| 896 | !!---------------------------------------------------------------------------------- |
---|
[6727] | 897 | !! *** FUNCTION q_sat *** |
---|
| 898 | !! |
---|
[6723] | 899 | !! ** Purpose : Specific humidity at saturation in [kg/kg] |
---|
| 900 | !! Based on accurate estimate of "e_sat" |
---|
| 901 | !! aka saturation water vapor (Goff, 1957) |
---|
| 902 | !! |
---|
| 903 | !! ** Author: L. Brodeau, june 2016 / AeroBulk (https://sourceforge.net/p/aerobulk) |
---|
| 904 | !!---------------------------------------------------------------------------------- |
---|
[6727] | 905 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: ptak ! air temperature [K] |
---|
| 906 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: pslp ! sea level atmospheric pressure [Pa] |
---|
| 907 | REAL(wp), DIMENSION(jpi,jpj) :: q_sat ! Specific humidity at saturation [kg/kg] |
---|
[6723] | 908 | ! |
---|
| 909 | INTEGER :: ji, jj ! dummy loop indices |
---|
[6727] | 910 | REAL(wp) :: ze_sat, ztmp ! local scalar |
---|
[6723] | 911 | !!---------------------------------------------------------------------------------- |
---|
| 912 | ! |
---|
| 913 | DO jj = 1, jpj |
---|
| 914 | DO ji = 1, jpi |
---|
| 915 | ! |
---|
[6727] | 916 | ztmp = rt0 / ptak(ji,jj) |
---|
[6723] | 917 | ! |
---|
[6727] | 918 | ! Vapour pressure at saturation [hPa] : WMO, (Goff, 1957) |
---|
| 919 | ze_sat = 10.**( 10.79574*(1. - ztmp) - 5.028*LOG10(ptak(ji,jj)/rt0) & |
---|
| 920 | & + 1.50475*10.**(-4)*(1. - 10.**(-8.2969*(ptak(ji,jj)/rt0 - 1.)) ) & |
---|
[6723] | 921 | & + 0.42873*10.**(-3)*(10.**(4.76955*(1. - ztmp)) - 1.) + 0.78614 ) |
---|
[6727] | 922 | ! |
---|
| 923 | q_sat(ji,jj) = reps0 * ze_sat/( 0.01_wp*pslp(ji,jj) - (1._wp - reps0)*ze_sat ) ! 0.01 because SLP is in [Pa] |
---|
[6723] | 924 | ! |
---|
| 925 | END DO |
---|
| 926 | END DO |
---|
| 927 | ! |
---|
| 928 | END FUNCTION q_sat |
---|
| 929 | |
---|
| 930 | |
---|
| 931 | FUNCTION gamma_moist( ptak, pqa ) |
---|
| 932 | !!---------------------------------------------------------------------------------- |
---|
[6727] | 933 | !! *** FUNCTION gamma_moist *** |
---|
| 934 | !! |
---|
[6723] | 935 | !! ** Purpose : Compute the moist adiabatic lapse-rate. |
---|
| 936 | !! => http://glossary.ametsoc.org/wiki/Moist-adiabatic_lapse_rate |
---|
| 937 | !! => http://www.geog.ucsb.edu/~joel/g266_s10/lecture_notes/chapt03/oh10_3_01/oh10_3_01.html |
---|
| 938 | !! |
---|
| 939 | !! ** Author: L. Brodeau, june 2016 / AeroBulk (https://sourceforge.net/p/aerobulk) |
---|
| 940 | !!---------------------------------------------------------------------------------- |
---|
[6727] | 941 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: ptak ! air temperature [K] |
---|
| 942 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: pqa ! specific humidity [kg/kg] |
---|
| 943 | REAL(wp), DIMENSION(jpi,jpj) :: gamma_moist ! moist adiabatic lapse-rate |
---|
[6723] | 944 | ! |
---|
| 945 | INTEGER :: ji, jj ! dummy loop indices |
---|
| 946 | REAL(wp) :: zrv, ziRT ! local scalar |
---|
| 947 | !!---------------------------------------------------------------------------------- |
---|
| 948 | ! |
---|
| 949 | DO jj = 1, jpj |
---|
| 950 | DO ji = 1, jpi |
---|
| 951 | zrv = pqa(ji,jj) / (1. - pqa(ji,jj)) |
---|
[6727] | 952 | ziRT = 1. / (R_dry*ptak(ji,jj)) ! 1/RT |
---|
[6723] | 953 | gamma_moist(ji,jj) = grav * ( 1. + cevap*zrv*ziRT ) / ( Cp_dry + cevap*cevap*zrv*reps0*ziRT/ptak(ji,jj) ) |
---|
| 954 | END DO |
---|
| 955 | END DO |
---|
| 956 | ! |
---|
| 957 | END FUNCTION gamma_moist |
---|
| 958 | |
---|
| 959 | |
---|
[6727] | 960 | FUNCTION L_vap( psst ) |
---|
[6723] | 961 | !!--------------------------------------------------------------------------------- |
---|
[6727] | 962 | !! *** FUNCTION L_vap *** |
---|
| 963 | !! |
---|
[6723] | 964 | !! ** Purpose : Compute the latent heat of vaporization of water from temperature |
---|
| 965 | !! |
---|
| 966 | !! ** Author: L. Brodeau, june 2016 / AeroBulk (https://sourceforge.net/p/aerobulk) |
---|
| 967 | !!---------------------------------------------------------------------------------- |
---|
[6727] | 968 | REAL(wp), DIMENSION(jpi,jpj) :: L_vap ! latent heat of vaporization [J/kg] |
---|
| 969 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: psst ! water temperature [K] |
---|
[6723] | 970 | !!---------------------------------------------------------------------------------- |
---|
| 971 | ! |
---|
[6727] | 972 | L_vap = ( 2.501 - 0.00237 * ( psst(:,:) - rt0) ) * 1.e6 |
---|
[6723] | 973 | ! |
---|
[6727] | 974 | END FUNCTION L_vap |
---|
[6723] | 975 | |
---|
[7355] | 976 | |
---|
| 977 | #if defined key_lim3 |
---|
[8585] | 978 | |
---|
[7355] | 979 | SUBROUTINE Cdn10_Lupkes2012( Cd ) |
---|
| 980 | !!---------------------------------------------------------------------- |
---|
| 981 | !! *** ROUTINE Cdn10_Lupkes2012 *** |
---|
| 982 | !! |
---|
| 983 | !! ** Purpose : Recompute the ice-atm drag at 10m height to make |
---|
| 984 | !! it dependent on edges at leads, melt ponds and flows. |
---|
| 985 | !! After some approximations, this can be resumed to a dependency |
---|
| 986 | !! on ice concentration. |
---|
| 987 | !! |
---|
| 988 | !! ** Method : The parameterization is taken from Lupkes et al. (2012) eq.(50) |
---|
| 989 | !! with the highest level of approximation: level4, eq.(59) |
---|
| 990 | !! The generic drag over a cell partly covered by ice can be re-written as follows: |
---|
| 991 | !! |
---|
| 992 | !! Cd = Cdw * (1-A) + Cdi * A + Ce * (1-A)**(nu+1/(10*beta)) * A**mu |
---|
| 993 | !! |
---|
| 994 | !! Ce = 2.23e-3 , as suggested by Lupkes (eq. 59) |
---|
| 995 | !! nu = mu = beta = 1 , as suggested by Lupkes (eq. 59) |
---|
| 996 | !! A is the concentration of ice minus melt ponds (if any) |
---|
| 997 | !! |
---|
| 998 | !! This new drag has a parabolic shape (as a function of A) starting at |
---|
| 999 | !! Cdw(say 1.5e-3) for A=0, reaching 1.97e-3 for A~0.5 |
---|
| 1000 | !! and going down to Cdi(say 1.4e-3) for A=1 |
---|
| 1001 | !! |
---|
[7507] | 1002 | !! It is theoretically applicable to all ice conditions (not only MIZ) |
---|
[7355] | 1003 | !! => see Lupkes et al (2013) |
---|
| 1004 | !! |
---|
| 1005 | !! ** References : Lupkes et al. JGR 2012 (theory) |
---|
| 1006 | !! Lupkes et al. GRL 2013 (application to GCM) |
---|
| 1007 | !! |
---|
| 1008 | !!---------------------------------------------------------------------- |
---|
| 1009 | REAL(wp), DIMENSION(:,:), INTENT(inout) :: Cd |
---|
| 1010 | REAL(wp), PARAMETER :: zCe = 2.23e-03_wp |
---|
| 1011 | REAL(wp), PARAMETER :: znu = 1._wp |
---|
| 1012 | REAL(wp), PARAMETER :: zmu = 1._wp |
---|
| 1013 | REAL(wp), PARAMETER :: zbeta = 1._wp |
---|
| 1014 | REAL(wp) :: zcoef |
---|
| 1015 | !!---------------------------------------------------------------------- |
---|
| 1016 | zcoef = znu + 1._wp / ( 10._wp * zbeta ) |
---|
| 1017 | |
---|
| 1018 | ! generic drag over a cell partly covered by ice |
---|
[7507] | 1019 | !!Cd(:,:) = Cd_oce(:,:) * ( 1._wp - at_i_b(:,:) ) + & ! pure ocean drag |
---|
| 1020 | !! & Cd_ice * at_i_b(:,:) + & ! pure ice drag |
---|
| 1021 | !! & zCe * ( 1._wp - at_i_b(:,:) )**zcoef * at_i_b(:,:)**zmu ! change due to sea-ice morphology |
---|
[7355] | 1022 | |
---|
| 1023 | ! ice-atm drag |
---|
[7507] | 1024 | Cd(:,:) = Cd_ice + & ! pure ice drag |
---|
| 1025 | & zCe * ( 1._wp - at_i_b(:,:) )**zcoef * at_i_b(:,:)**(zmu-1._wp) ! change due to sea-ice morphology |
---|
[7355] | 1026 | |
---|
| 1027 | END SUBROUTINE Cdn10_Lupkes2012 |
---|
[8585] | 1028 | |
---|
| 1029 | |
---|
| 1030 | SUBROUTINE Cdn10_Lupkes2015( Cd, Ch ) |
---|
| 1031 | !!---------------------------------------------------------------------- |
---|
| 1032 | !! *** ROUTINE Cdn10_Lupkes2015 *** |
---|
| 1033 | !! |
---|
| 1034 | !! ** pUrpose : 1lternative turbulent transfert coefficients formulation |
---|
| 1035 | !! between sea-ice and atmosphere with distinct momentum |
---|
| 1036 | !! and heat coefficients depending on sea-ice concentration |
---|
| 1037 | !! and atmospheric stability (no meltponds effect for now). |
---|
| 1038 | !! |
---|
| 1039 | !! ** Method : The parameterization is adapted from Lupkes et al. (2015) |
---|
| 1040 | !! and ECHAM6 atmospheric model. Compared to Lupkes2012 scheme, |
---|
| 1041 | !! it considers specific skin and form drags (Andreas et al. 2010) |
---|
| 1042 | !! to compute neutral transfert coefficients for both heat and |
---|
| 1043 | !! momemtum fluxes. Atmospheric stability effect on transfert |
---|
| 1044 | !! coefficient is also taken into account following Louis (1979). |
---|
| 1045 | !! |
---|
| 1046 | !! ** References : Lupkes et al. JGR 2015 (theory) |
---|
| 1047 | !! Lupkes et al. ECHAM6 documentation 2015 (implementation) |
---|
| 1048 | !! |
---|
| 1049 | !!---------------------------------------------------------------------- |
---|
| 1050 | ! |
---|
| 1051 | REAL(wp), DIMENSION(:,:), INTENT(inout) :: Cd |
---|
| 1052 | REAL(wp), DIMENSION(:,:), INTENT(inout) :: Ch |
---|
| 1053 | REAL(wp), DIMENSION(jpi,jpj) :: zst, zqo_sat, zqi_sat |
---|
| 1054 | ! |
---|
| 1055 | ! ECHAM6 constants |
---|
| 1056 | REAL(wp), PARAMETER :: z0_skin_ice = 0.69e-3_wp ! Eq. 43 [m] |
---|
| 1057 | REAL(wp), PARAMETER :: z0_form_ice = 0.57e-3_wp ! Eq. 42 [m] |
---|
| 1058 | REAL(wp), PARAMETER :: z0_ice = 1.00e-3_wp ! Eq. 15 [m] |
---|
| 1059 | REAL(wp), PARAMETER :: zce10 = 2.80e-3_wp ! Eq. 41 |
---|
| 1060 | REAL(wp), PARAMETER :: zbeta = 1.1_wp ! Eq. 41 |
---|
| 1061 | REAL(wp), PARAMETER :: zc = 5._wp ! Eq. 13 |
---|
| 1062 | REAL(wp), PARAMETER :: zc2 = zc * zc |
---|
| 1063 | REAL(wp), PARAMETER :: zam = 2. * zc ! Eq. 14 |
---|
| 1064 | REAL(wp), PARAMETER :: zah = 3. * zc ! Eq. 30 |
---|
| 1065 | REAL(wp), PARAMETER :: z1_alpha = 1._wp / 0.2_wp ! Eq. 51 |
---|
| 1066 | REAL(wp), PARAMETER :: z1_alphaf = z1_alpha ! Eq. 56 |
---|
| 1067 | REAL(wp), PARAMETER :: zbetah = 1.e-3_wp ! Eq. 26 |
---|
| 1068 | REAL(wp), PARAMETER :: zgamma = 1.25_wp ! Eq. 26 |
---|
| 1069 | REAL(wp), PARAMETER :: z1_gamma = 1._wp / zgamma |
---|
| 1070 | REAL(wp), PARAMETER :: r1_3 = 1._wp / 3._wp |
---|
| 1071 | ! |
---|
| 1072 | INTEGER :: ji, jj ! dummy loop indices |
---|
| 1073 | REAL(wp) :: zthetav_os, zthetav_is, zthetav_zu |
---|
| 1074 | REAL(wp) :: zrib_o, zrib_i |
---|
| 1075 | REAL(wp) :: zCdn_skin_ice, zCdn_form_ice, zCdn_ice |
---|
| 1076 | REAL(wp) :: zChn_skin_ice, zChn_form_ice |
---|
| 1077 | REAL(wp) :: z0w, z0i, zfmi, zfmw, zfhi, zfhw |
---|
| 1078 | !!---------------------------------------------------------------------- |
---|
| 1079 | ! |
---|
| 1080 | ! Atmospheric and Surface Variables |
---|
| 1081 | zst(:,:) = sst_m(:,:) + rt0 ! convert SST from Celcius to Kelvin |
---|
| 1082 | zqo_sat(:,:) = 0.98_wp * q_sat( zst(:,:) , sf(jp_slp)%fnow(:,:,1) ) ! saturation humidity over ocean [kg/kg] |
---|
| 1083 | zqi_sat(:,:) = 0.98_wp * q_sat( tm_su(:,:), sf(jp_slp)%fnow(:,:,1) ) ! saturation humidity over ice [kg/kg] |
---|
| 1084 | ! |
---|
| 1085 | DO jj = 2, jpjm1 |
---|
| 1086 | DO ji = fs_2, fs_jpim1 |
---|
| 1087 | ! Virtual potential temperature [K] |
---|
| 1088 | zthetav_os = zst(ji,jj) * ( 1._wp + rctv0 * zqo_sat(ji,jj) ) ! over ocean |
---|
| 1089 | zthetav_is = tm_su(ji,jj) * ( 1._wp + rctv0 * zqi_sat(ji,jj) ) ! ocean ice |
---|
| 1090 | zthetav_zu = t_zu (ji,jj) * ( 1._wp + rctv0 * q_zu(ji,jj) ) ! at zu |
---|
| 1091 | |
---|
| 1092 | ! Bulk Richardson Number (could use Ri_bulk function from aerobulk instead) |
---|
| 1093 | zrib_o = grav / zthetav_os * ( zthetav_zu - zthetav_os ) * rn_zu / MAX( 0.5, wndm(ji,jj) )**2 ! over ocean |
---|
| 1094 | zrib_i = grav / zthetav_is * ( zthetav_zu - zthetav_is ) * rn_zu / MAX( 0.5, wndm_ice(ji,jj) )**2 ! over ice |
---|
| 1095 | |
---|
| 1096 | ! Momentum Neutral Transfert Coefficients (should be a constant) |
---|
| 1097 | zCdn_skin_ice = ( vkarmn / LOG( rn_zu / z0_skin_ice + 1._wp ) )**2 ! Eq. 7 |
---|
| 1098 | zCdn_form_ice = zce10 * ( LOG( 10._wp / z0_form_ice + 1._wp ) / LOG( rn_zu / z0_form_ice + 1._wp ) )**2 & ! Eq. 40 |
---|
| 1099 | & * at_i_b(ji,jj) * ( 1._wp - at_i_b(ji,jj) )**zbeta |
---|
| 1100 | zCdn_ice = zCdn_skin_ice ! Eq. 7 (cf Lupkes email for details) |
---|
| 1101 | !zCdn_ice = 1.89e-3 ! old ECHAM5 value (cf Eq. 32) |
---|
| 1102 | |
---|
| 1103 | ! Heat Neutral Transfert Coefficients |
---|
| 1104 | 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) |
---|
| 1105 | zChn_form_ice = zCdn_form_ice / ( 1._wp + ( LOG( z1_alphaf ) / vkarmn ) * SQRT( zCdn_form_ice ) ) ! Eq. 53 |
---|
| 1106 | |
---|
| 1107 | ! Momentum and Heat Stability functions (possibility to use psi_m_ecmwf instead) |
---|
| 1108 | z0w = rn_zu * EXP( -1._wp * vkarmn / SQRT( Cdn_oce(ji,jj) ) ) ! over water |
---|
| 1109 | z0i = z0_skin_ice ! over ice (cf Lupkes email for details) |
---|
| 1110 | IF( zrib_o <= 0._wp ) THEN |
---|
| 1111 | 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 |
---|
| 1112 | zfhw = ( 1._wp + ( zbetah * ( zthetav_os - zthetav_zu )**r1_3 / ( Chn_oce(ji,jj) * wndm(ji,jj) ) & ! Eq. 26 |
---|
| 1113 | & )**zgamma )**z1_gamma |
---|
| 1114 | ELSE |
---|
| 1115 | zfmw = 1._wp / ( 1._wp + zam * zrib_o / SQRT( 1._wp + zrib_o ) ) ! Eq. 12 |
---|
| 1116 | zfhw = 1._wp / ( 1._wp + zah * zrib_o / SQRT( 1._wp + zrib_o ) ) ! Eq. 28 |
---|
| 1117 | ENDIF |
---|
| 1118 | |
---|
| 1119 | IF( zrib_i <= 0._wp ) THEN |
---|
| 1120 | zfmi = 1._wp - zam * zrib_i / (1._wp + 3._wp * zc2 * zCdn_ice * SQRT( -zrib_i * ( rn_zu / z0i + 1._wp))) ! Eq. 9 |
---|
| 1121 | zfhi = 1._wp - zah * zrib_i / (1._wp + 3._wp * zc2 * zCdn_ice * SQRT( -zrib_i * ( rn_zu / z0i + 1._wp))) ! Eq. 25 |
---|
| 1122 | ELSE |
---|
| 1123 | zfmi = 1._wp / ( 1._wp + zam * zrib_i / SQRT( 1._wp + zrib_i ) ) ! Eq. 11 |
---|
| 1124 | zfhi = 1._wp / ( 1._wp + zah * zrib_i / SQRT( 1._wp + zrib_i ) ) ! Eq. 27 |
---|
| 1125 | ENDIF |
---|
| 1126 | |
---|
| 1127 | ! Momentum Transfert Coefficients (Eq. 38) |
---|
| 1128 | Cd(ji,jj) = zCdn_skin_ice * zfmi + & |
---|
| 1129 | & 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) ) |
---|
| 1130 | |
---|
| 1131 | ! Heat Transfert Coefficients (Eq. 49) |
---|
| 1132 | Ch(ji,jj) = zChn_skin_ice * zfhi + & |
---|
| 1133 | & 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) ) |
---|
| 1134 | ! |
---|
| 1135 | END DO |
---|
| 1136 | END DO |
---|
| 1137 | CALL lbc_lnk_multi( Cd, 'T', 1., Ch, 'T', 1. ) |
---|
| 1138 | ! |
---|
| 1139 | END SUBROUTINE Cdn10_Lupkes2015 |
---|
| 1140 | |
---|
[7355] | 1141 | #endif |
---|
| 1142 | |
---|
[6723] | 1143 | !!====================================================================== |
---|
| 1144 | END MODULE sbcblk |
---|