[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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[9019] | 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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[10534] | 19 | !! 4.0 ! 2016-10 (M. Vancoppenolle) Introduce conduction flux emulator (M. Vancoppenolle) |
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[6723] | 20 | !!---------------------------------------------------------------------- |
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| 21 | |
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| 22 | !!---------------------------------------------------------------------- |
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[7163] | 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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[6727] | 25 | !! blk_oce : computes momentum, heat and freshwater fluxes over ocean |
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| 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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[9019] | 30 | !! sea-ice case only : |
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| 31 | !! blk_ice_tau : provide the air-ice stress |
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| 32 | !! blk_ice_flx : provide the heat and mass fluxes at air-ice interface |
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[10534] | 33 | !! blk_ice_qcn : provide ice surface temperature and snow/ice conduction flux (emulating conduction flux) |
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[9019] | 34 | !! Cdn10_Lupkes2012 : Lupkes et al. (2012) air-ice drag |
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| 35 | !! Cdn10_Lupkes2015 : Lupkes et al. (2015) air-ice drag |
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[6723] | 36 | !!---------------------------------------------------------------------- |
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| 37 | USE oce ! ocean dynamics and tracers |
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| 38 | USE dom_oce ! ocean space and time domain |
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| 39 | USE phycst ! physical constants |
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| 40 | USE fldread ! read input fields |
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| 41 | USE sbc_oce ! Surface boundary condition: ocean fields |
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| 42 | USE cyclone ! Cyclone 10m wind form trac of cyclone centres |
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| 43 | USE sbcdcy ! surface boundary condition: diurnal cycle |
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| 44 | USE sbcwave , ONLY : cdn_wave ! wave module |
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| 45 | USE sbc_ice ! Surface boundary condition: ice fields |
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| 46 | USE lib_fortran ! to use key_nosignedzero |
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[9570] | 47 | #if defined key_si3 |
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[13284] | 48 | USE ice , ONLY : u_ice, v_ice, jpl, a_i_b, at_i_b, t_su, rn_cnd_s, hfx_err_dif, nn_qtrice |
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| 49 | USE icevar ! for CALL ice_var_snwblow |
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[6723] | 50 | #endif |
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| 51 | USE sbcblk_algo_ncar ! => turb_ncar : NCAR - CORE (Large & Yeager, 2009) |
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| 52 | USE sbcblk_algo_coare ! => turb_coare : COAREv3.0 (Fairall et al. 2003) |
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| 53 | USE sbcblk_algo_coare3p5 ! => turb_coare3p5 : COAREv3.5 (Edson et al. 2013) |
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| 54 | USE sbcblk_algo_ecmwf ! => turb_ecmwf : ECMWF (IFS cycle 31) |
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[6727] | 55 | ! |
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[6723] | 56 | USE iom ! I/O manager library |
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| 57 | USE in_out_manager ! I/O manager |
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| 58 | USE lib_mpp ! distribued memory computing library |
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| 59 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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| 60 | USE prtctl ! Print control |
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| 61 | |
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| 62 | IMPLICIT NONE |
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| 63 | PRIVATE |
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| 64 | |
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[7163] | 65 | PUBLIC sbc_blk_init ! called in sbcmod |
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| 66 | PUBLIC sbc_blk ! called in sbcmod |
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[9570] | 67 | #if defined key_si3 |
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[10535] | 68 | PUBLIC blk_ice_tau ! routine called in icesbc |
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| 69 | PUBLIC blk_ice_flx ! routine called in icesbc |
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| 70 | PUBLIC blk_ice_qcn ! routine called in icesbc |
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[9019] | 71 | #endif |
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[6723] | 72 | |
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[6727] | 73 | !!Lolo: should ultimately be moved in the module with all physical constants ? |
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| 74 | !!gm : In principle, yes. |
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[6723] | 75 | REAL(wp), PARAMETER :: Cp_dry = 1005.0 !: Specic heat of dry air, constant pressure [J/K/kg] |
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| 76 | REAL(wp), PARAMETER :: Cp_vap = 1860.0 !: Specic heat of water vapor, constant pressure [J/K/kg] |
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| 77 | REAL(wp), PARAMETER :: R_dry = 287.05_wp !: Specific gas constant for dry air [J/K/kg] |
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| 78 | REAL(wp), PARAMETER :: R_vap = 461.495_wp !: Specific gas constant for water vapor [J/K/kg] |
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| 79 | REAL(wp), PARAMETER :: reps0 = R_dry/R_vap !: ratio of gas constant for dry air and water vapor => ~ 0.622 |
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[12901] | 80 | REAL(wp), PARAMETER :: rctv0 = R_vap/R_dry - 1._wp !: for virtual temperature (== (1-eps)/eps) => ~ 0.608 |
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[6723] | 81 | |
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[13284] | 82 | INTEGER , PARAMETER :: jpfld =11 ! maximum number of files to read |
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[6723] | 83 | INTEGER , PARAMETER :: jp_wndi = 1 ! index of 10m wind velocity (i-component) (m/s) at T-point |
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| 84 | INTEGER , PARAMETER :: jp_wndj = 2 ! index of 10m wind velocity (j-component) (m/s) at T-point |
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[7163] | 85 | INTEGER , PARAMETER :: jp_tair = 3 ! index of 10m air temperature (Kelvin) |
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| 86 | INTEGER , PARAMETER :: jp_humi = 4 ! index of specific humidity ( % ) |
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| 87 | INTEGER , PARAMETER :: jp_qsr = 5 ! index of solar heat (W/m2) |
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| 88 | INTEGER , PARAMETER :: jp_qlw = 6 ! index of Long wave (W/m2) |
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[6723] | 89 | INTEGER , PARAMETER :: jp_prec = 7 ! index of total precipitation (rain+snow) (Kg/m2/s) |
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| 90 | INTEGER , PARAMETER :: jp_snow = 8 ! index of snow (solid prcipitation) (kg/m2/s) |
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[7421] | 91 | INTEGER , PARAMETER :: jp_slp = 9 ! index of sea level pressure (Pa) |
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[13284] | 92 | INTEGER , PARAMETER :: jp_cc =10 ! index of cloud cover (-) range:0-1 |
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| 93 | INTEGER , PARAMETER :: jp_tdif =11 ! index of tau diff associated to HF tau (N/m2) at T-point |
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[6723] | 94 | |
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| 95 | TYPE(FLD), ALLOCATABLE, DIMENSION(:) :: sf ! structure of input fields (file informations, fields read) |
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| 96 | |
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| 97 | ! !!! Bulk parameters |
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[7355] | 98 | REAL(wp), PARAMETER :: cpa = 1000.5 ! specific heat of air (only used for ice fluxes now...) |
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| 99 | REAL(wp), PARAMETER :: Ls = 2.839e6 ! latent heat of sublimation |
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| 100 | REAL(wp), PARAMETER :: Stef = 5.67e-8 ! Stefan Boltzmann constant |
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[9019] | 101 | REAL(wp), PARAMETER :: Cd_ice = 1.4e-3 ! transfer coefficient over ice |
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[7355] | 102 | REAL(wp), PARAMETER :: albo = 0.066 ! ocean albedo assumed to be constant |
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[6723] | 103 | ! |
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| 104 | ! !!* Namelist namsbc_blk : bulk parameters |
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| 105 | LOGICAL :: ln_NCAR ! "NCAR" algorithm (Large and Yeager 2008) |
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| 106 | LOGICAL :: ln_COARE_3p0 ! "COARE 3.0" algorithm (Fairall et al. 2003) |
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| 107 | LOGICAL :: ln_COARE_3p5 ! "COARE 3.5" algorithm (Edson et al. 2013) |
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| 108 | LOGICAL :: ln_ECMWF ! "ECMWF" algorithm (IFS cycle 31) |
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| 109 | ! |
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| 110 | LOGICAL :: ln_taudif ! logical flag to use the "mean of stress module - module of mean stress" data |
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| 111 | REAL(wp) :: rn_pfac ! multiplication factor for precipitation |
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[9019] | 112 | REAL(wp) :: rn_efac ! multiplication factor for evaporation |
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| 113 | REAL(wp) :: rn_vfac ! multiplication factor for ice/ocean velocity in the calculation of wind stress |
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[6723] | 114 | REAL(wp) :: rn_zqt ! z(q,t) : height of humidity and temperature measurements |
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| 115 | REAL(wp) :: rn_zu ! z(u) : height of wind measurements |
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[9019] | 116 | !!gm ref namelist initialize it so remove the setting to false below |
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| 117 | LOGICAL :: ln_Cd_L12 = .FALSE. ! Modify the drag ice-atm depending on ice concentration (from Lupkes et al. JGR2012) |
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| 118 | LOGICAL :: ln_Cd_L15 = .FALSE. ! Modify the drag ice-atm depending on ice concentration (from Lupkes et al. JGR2015) |
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[7355] | 119 | ! |
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[9019] | 120 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: Cd_atm ! transfer coefficient for momentum (tau) |
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| 121 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: Ch_atm ! transfer coefficient for sensible heat (Q_sens) |
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| 122 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: Ce_atm ! tansfert coefficient for evaporation (Q_lat) |
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| 123 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: t_zu ! air temperature at wind speed height (needed by Lupkes 2015 bulk scheme) |
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| 124 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: q_zu ! air spec. hum. at wind speed height (needed by Lupkes 2015 bulk scheme) |
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| 125 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: cdn_oce, chn_oce, cen_oce ! needed by Lupkes 2015 bulk scheme |
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[6723] | 126 | |
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| 127 | INTEGER :: nblk ! choice of the bulk algorithm |
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| 128 | ! ! associated indices: |
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| 129 | INTEGER, PARAMETER :: np_NCAR = 1 ! "NCAR" algorithm (Large and Yeager 2008) |
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| 130 | INTEGER, PARAMETER :: np_COARE_3p0 = 2 ! "COARE 3.0" algorithm (Fairall et al. 2003) |
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| 131 | INTEGER, PARAMETER :: np_COARE_3p5 = 3 ! "COARE 3.5" algorithm (Edson et al. 2013) |
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| 132 | INTEGER, PARAMETER :: np_ECMWF = 4 ! "ECMWF" algorithm (IFS cycle 31) |
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| 133 | |
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| 134 | !! * Substitutions |
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| 135 | # include "vectopt_loop_substitute.h90" |
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| 136 | !!---------------------------------------------------------------------- |
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[9598] | 137 | !! NEMO/OCE 4.0 , NEMO Consortium (2018) |
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[10069] | 138 | !! $Id$ |
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[10068] | 139 | !! Software governed by the CeCILL license (see ./LICENSE) |
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[6723] | 140 | !!---------------------------------------------------------------------- |
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| 141 | CONTAINS |
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| 142 | |
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[7355] | 143 | INTEGER FUNCTION sbc_blk_alloc() |
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| 144 | !!------------------------------------------------------------------- |
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| 145 | !! *** ROUTINE sbc_blk_alloc *** |
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| 146 | !!------------------------------------------------------------------- |
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[9019] | 147 | 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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| 148 | & cdn_oce(jpi,jpj), chn_oce(jpi,jpj), cen_oce(jpi,jpj), STAT=sbc_blk_alloc ) |
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[7355] | 149 | ! |
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[10425] | 150 | CALL mpp_sum ( 'sbcblk', sbc_blk_alloc ) |
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| 151 | IF( sbc_blk_alloc /= 0 ) CALL ctl_stop( 'STOP', 'sbc_blk_alloc: failed to allocate arrays' ) |
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[7355] | 152 | END FUNCTION sbc_blk_alloc |
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| 153 | |
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[9019] | 154 | |
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[7163] | 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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[13284] | 164 | INTEGER :: jfpr, jfld ! dummy loop indice and argument |
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[7163] | 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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[13284] | 171 | TYPE(FLD_N) :: sn_slp , sn_tdif, sn_cc ! " " |
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[7163] | 172 | NAMELIST/namsbc_blk/ sn_wndi, sn_wndj, sn_humi, sn_qsr, sn_qlw , & ! input fields |
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[13284] | 173 | & sn_tair, sn_prec, sn_snow, sn_slp, sn_tdif, sn_cc, & |
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[7163] | 174 | & ln_NCAR, ln_COARE_3p0, ln_COARE_3p5, ln_ECMWF, & ! bulk algorithm |
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[7355] | 175 | & cn_dir , ln_taudif, rn_zqt, rn_zu, & |
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[9019] | 176 | & rn_pfac, rn_efac, rn_vfac, ln_Cd_L12, ln_Cd_L15 |
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[7163] | 177 | !!--------------------------------------------------------------------- |
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| 178 | ! |
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[7355] | 179 | ! ! allocate sbc_blk_core array |
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| 180 | IF( sbc_blk_alloc() /= 0 ) CALL ctl_stop( 'STOP', 'sbc_blk : unable to allocate standard arrays' ) |
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| 181 | ! |
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[7163] | 182 | ! !** read bulk namelist |
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| 183 | REWIND( numnam_ref ) !* Namelist namsbc_blk in reference namelist : bulk parameters |
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| 184 | READ ( numnam_ref, namsbc_blk, IOSTAT = ios, ERR = 901) |
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[11536] | 185 | 901 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namsbc_blk in reference namelist' ) |
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[7163] | 186 | ! |
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| 187 | REWIND( numnam_cfg ) !* Namelist namsbc_blk in configuration namelist : bulk parameters |
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| 188 | READ ( numnam_cfg, namsbc_blk, IOSTAT = ios, ERR = 902 ) |
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[11536] | 189 | 902 IF( ios > 0 ) CALL ctl_nam ( ios , 'namsbc_blk in configuration namelist' ) |
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[7163] | 190 | ! |
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| 191 | IF(lwm) WRITE( numond, namsbc_blk ) |
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| 192 | ! |
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| 193 | ! !** initialization of the chosen bulk formulae (+ check) |
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| 194 | ! !* select the bulk chosen in the namelist and check the choice |
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[8666] | 195 | ioptio = 0 |
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[7163] | 196 | IF( ln_NCAR ) THEN ; nblk = np_NCAR ; ioptio = ioptio + 1 ; ENDIF |
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| 197 | IF( ln_COARE_3p0 ) THEN ; nblk = np_COARE_3p0 ; ioptio = ioptio + 1 ; ENDIF |
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| 198 | IF( ln_COARE_3p5 ) THEN ; nblk = np_COARE_3p5 ; ioptio = ioptio + 1 ; ENDIF |
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| 199 | IF( ln_ECMWF ) THEN ; nblk = np_ECMWF ; ioptio = ioptio + 1 ; ENDIF |
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| 200 | ! |
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| 201 | IF( ioptio /= 1 ) CALL ctl_stop( 'sbc_blk_init: Choose one and only one bulk algorithm' ) |
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| 202 | ! |
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| 203 | IF( ln_dm2dc ) THEN !* check: diurnal cycle on Qsr |
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[11536] | 204 | IF( sn_qsr%freqh /= 24. ) CALL ctl_stop( 'sbc_blk_init: ln_dm2dc=T only with daily short-wave input' ) |
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[7163] | 205 | IF( sn_qsr%ln_tint ) THEN |
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| 206 | CALL ctl_warn( 'sbc_blk_init: ln_dm2dc=T daily qsr time interpolation done by sbcdcy module', & |
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| 207 | & ' ==> We force time interpolation = .false. for qsr' ) |
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| 208 | sn_qsr%ln_tint = .false. |
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| 209 | ENDIF |
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| 210 | ENDIF |
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| 211 | ! !* set the bulk structure |
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| 212 | ! !- store namelist information in an array |
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| 213 | slf_i(jp_wndi) = sn_wndi ; slf_i(jp_wndj) = sn_wndj |
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| 214 | slf_i(jp_qsr ) = sn_qsr ; slf_i(jp_qlw ) = sn_qlw |
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| 215 | slf_i(jp_tair) = sn_tair ; slf_i(jp_humi) = sn_humi |
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| 216 | slf_i(jp_prec) = sn_prec ; slf_i(jp_snow) = sn_snow |
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[13284] | 217 | slf_i(jp_slp) = sn_slp ; slf_i(jp_cc) = sn_cc |
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| 218 | slf_i(jp_tdif) = sn_tdif |
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[7163] | 219 | ! |
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| 220 | lhftau = ln_taudif !- add an extra field if HF stress is used |
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| 221 | jfld = jpfld - COUNT( (/.NOT.lhftau/) ) |
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| 222 | ! |
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| 223 | ! !- allocate the bulk structure |
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| 224 | ALLOCATE( sf(jfld), STAT=ierror ) |
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| 225 | IF( ierror > 0 ) CALL ctl_stop( 'STOP', 'sbc_blk_init: unable to allocate sf structure' ) |
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[8530] | 226 | |
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[7163] | 227 | ! !- fill the bulk structure with namelist informations |
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| 228 | CALL fld_fill( sf, slf_i, cn_dir, 'sbc_blk_init', 'surface boundary condition -- bulk formulae', 'namsbc_blk' ) |
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| 229 | ! |
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[13284] | 230 | DO jfpr = 1, jfld |
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| 231 | ! |
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| 232 | IF( TRIM(sf(jfpr)%clrootname) == 'NOT USED' ) THEN !-- not used field --! (only now allocated and set to zero) |
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| 233 | ALLOCATE( sf(jfpr)%fnow(jpi,jpj,1) ) |
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| 234 | sf(jfpr)%fnow(:,:,1) = 0._wp |
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| 235 | ELSE !-- used field --! |
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| 236 | ALLOCATE( sf(jfpr)%fnow(jpi,jpj,1) ) |
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| 237 | IF( slf_i(jfpr)%ln_tint ) ALLOCATE( sf(jfpr)%fdta(jpi,jpj,1,2) ) |
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| 238 | IF( slf_i(jfpr)%freqh > 0. .AND. MOD( NINT(3600. * slf_i(jfpr)%freqh), nn_fsbc * NINT(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 | ENDIF |
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| 242 | ENDDO |
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| 243 | ! fill cloud cover array with constant value if "not used" |
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| 244 | IF( TRIM(sf(jp_cc)%clrootname) == 'NOT USED' ) sf(jp_cc)%fnow(:,:,1) = pp_cldf |
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| 245 | |
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[7431] | 246 | IF ( ln_wave ) THEN |
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| 247 | !Activated wave module but neither drag nor stokes drift activated |
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[9033] | 248 | IF ( .NOT.(ln_cdgw .OR. ln_sdw .OR. ln_tauwoc .OR. ln_stcor ) ) THEN |
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[10425] | 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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[7431] | 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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[10190] | 252 | CALL ctl_stop( 'drag coefficient read from wave model definable only with NCAR and CORE bulk formulae') |
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[7431] | 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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[9033] | 257 | IF ( ln_cdgw .OR. ln_sdw .OR. ln_tauwoc .OR. ln_stcor ) & |
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[7431] | 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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[9033] | 261 | & 'or ocean stress modification due to waves (ln_tauwoc=T) ', & |
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[7431] | 262 | & 'or Stokes-Coriolis term (ln_stcori=T)' ) |
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| 263 | ENDIF |
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| 264 | ! |
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[7163] | 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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[13348] | 272 | WRITE(numout,*) ' "COARE 3.5" algorithm (Edson et al. 2013) ln_COARE_3p5 = ', ln_COARE_3p5 |
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[7163] | 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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[9019] | 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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[7163] | 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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[9190] | 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)' |
---|
| 288 | CASE( np_COARE_3p5 ) ; WRITE(numout,*) ' ==>>> "COARE 3.5" algorithm (Edson et al. 2013)' |
---|
| 289 | CASE( np_ECMWF ) ; WRITE(numout,*) ' ==>>> "ECMWF" algorithm (IFS cycle 31)' |
---|
[7163] | 290 | END SELECT |
---|
| 291 | ! |
---|
| 292 | ENDIF |
---|
| 293 | ! |
---|
| 294 | END SUBROUTINE sbc_blk_init |
---|
| 295 | |
---|
| 296 | |
---|
[6723] | 297 | SUBROUTINE sbc_blk( kt ) |
---|
| 298 | !!--------------------------------------------------------------------- |
---|
| 299 | !! *** ROUTINE sbc_blk *** |
---|
| 300 | !! |
---|
| 301 | !! ** Purpose : provide at each time step the surface ocean fluxes |
---|
[9019] | 302 | !! (momentum, heat, freshwater and runoff) |
---|
[6723] | 303 | !! |
---|
| 304 | !! ** Method : (1) READ each fluxes in NetCDF files: |
---|
| 305 | !! the 10m wind velocity (i-component) (m/s) at T-point |
---|
| 306 | !! the 10m wind velocity (j-component) (m/s) at T-point |
---|
| 307 | !! the 10m or 2m specific humidity ( % ) |
---|
| 308 | !! the solar heat (W/m2) |
---|
| 309 | !! the Long wave (W/m2) |
---|
| 310 | !! the 10m or 2m air temperature (Kelvin) |
---|
| 311 | !! the total precipitation (rain+snow) (Kg/m2/s) |
---|
| 312 | !! the snow (solid prcipitation) (kg/m2/s) |
---|
| 313 | !! the tau diff associated to HF tau (N/m2) at T-point (ln_taudif=T) |
---|
| 314 | !! (2) CALL blk_oce |
---|
| 315 | !! |
---|
| 316 | !! C A U T I O N : never mask the surface stress fields |
---|
| 317 | !! the stress is assumed to be in the (i,j) mesh referential |
---|
| 318 | !! |
---|
| 319 | !! ** Action : defined at each time-step at the air-sea interface |
---|
| 320 | !! - utau, vtau i- and j-component of the wind stress |
---|
| 321 | !! - taum wind stress module at T-point |
---|
| 322 | !! - wndm wind speed module at T-point over free ocean or leads in presence of sea-ice |
---|
| 323 | !! - qns, qsr non-solar and solar heat fluxes |
---|
| 324 | !! - emp upward mass flux (evapo. - precip.) |
---|
| 325 | !! - sfx salt flux due to freezing/melting (non-zero only if ice is present) |
---|
| 326 | !! |
---|
| 327 | !! ** References : Large & Yeager, 2004 / Large & Yeager, 2008 |
---|
| 328 | !! Brodeau et al. Ocean Modelling 2010 |
---|
| 329 | !!---------------------------------------------------------------------- |
---|
| 330 | INTEGER, INTENT(in) :: kt ! ocean time step |
---|
| 331 | !!--------------------------------------------------------------------- |
---|
| 332 | ! |
---|
| 333 | CALL fld_read( kt, nn_fsbc, sf ) ! input fields provided at the current time-step |
---|
[7163] | 334 | ! |
---|
[6723] | 335 | ! ! compute the surface ocean fluxes using bulk formulea |
---|
| 336 | IF( MOD( kt - 1, nn_fsbc ) == 0 ) CALL blk_oce( kt, sf, sst_m, ssu_m, ssv_m ) |
---|
| 337 | |
---|
| 338 | #if defined key_cice |
---|
| 339 | IF( MOD( kt - 1, nn_fsbc ) == 0 ) THEN |
---|
[7753] | 340 | qlw_ice(:,:,1) = sf(jp_qlw )%fnow(:,:,1) |
---|
| 341 | IF( ln_dm2dc ) THEN ; qsr_ice(:,:,1) = sbc_dcy( sf(jp_qsr)%fnow(:,:,1) ) |
---|
| 342 | ELSE ; qsr_ice(:,:,1) = sf(jp_qsr)%fnow(:,:,1) |
---|
[7282] | 343 | ENDIF |
---|
[7753] | 344 | tatm_ice(:,:) = sf(jp_tair)%fnow(:,:,1) |
---|
| 345 | qatm_ice(:,:) = sf(jp_humi)%fnow(:,:,1) |
---|
| 346 | tprecip(:,:) = sf(jp_prec)%fnow(:,:,1) * rn_pfac |
---|
| 347 | sprecip(:,:) = sf(jp_snow)%fnow(:,:,1) * rn_pfac |
---|
| 348 | wndi_ice(:,:) = sf(jp_wndi)%fnow(:,:,1) |
---|
| 349 | wndj_ice(:,:) = sf(jp_wndj)%fnow(:,:,1) |
---|
[6723] | 350 | ENDIF |
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| 351 | #endif |
---|
| 352 | ! |
---|
| 353 | END SUBROUTINE sbc_blk |
---|
| 354 | |
---|
| 355 | |
---|
| 356 | SUBROUTINE blk_oce( kt, sf, pst, pu, pv ) |
---|
| 357 | !!--------------------------------------------------------------------- |
---|
| 358 | !! *** ROUTINE blk_oce *** |
---|
| 359 | !! |
---|
| 360 | !! ** Purpose : provide the momentum, heat and freshwater fluxes at |
---|
| 361 | !! the ocean surface at each time step |
---|
| 362 | !! |
---|
| 363 | !! ** Method : bulk formulea for the ocean using atmospheric |
---|
| 364 | !! fields read in sbc_read |
---|
| 365 | !! |
---|
| 366 | !! ** Outputs : - utau : i-component of the stress at U-point (N/m2) |
---|
| 367 | !! - vtau : j-component of the stress at V-point (N/m2) |
---|
| 368 | !! - taum : Wind stress module at T-point (N/m2) |
---|
| 369 | !! - wndm : Wind speed module at T-point (m/s) |
---|
| 370 | !! - qsr : Solar heat flux over the ocean (W/m2) |
---|
| 371 | !! - qns : Non Solar heat flux over the ocean (W/m2) |
---|
| 372 | !! - emp : evaporation minus precipitation (kg/m2/s) |
---|
| 373 | !! |
---|
| 374 | !! ** Nota : sf has to be a dummy argument for AGRIF on NEC |
---|
| 375 | !!--------------------------------------------------------------------- |
---|
| 376 | INTEGER , INTENT(in ) :: kt ! time step index |
---|
| 377 | TYPE(fld), INTENT(inout), DIMENSION(:) :: sf ! input data |
---|
| 378 | REAL(wp) , INTENT(in) , DIMENSION(:,:) :: pst ! surface temperature [Celcius] |
---|
| 379 | REAL(wp) , INTENT(in) , DIMENSION(:,:) :: pu ! surface current at U-point (i-component) [m/s] |
---|
| 380 | REAL(wp) , INTENT(in) , DIMENSION(:,:) :: pv ! surface current at V-point (j-component) [m/s] |
---|
| 381 | ! |
---|
| 382 | INTEGER :: ji, jj ! dummy loop indices |
---|
| 383 | REAL(wp) :: zztmp ! local variable |
---|
[9019] | 384 | REAL(wp), DIMENSION(jpi,jpj) :: zwnd_i, zwnd_j ! wind speed components at T-point |
---|
| 385 | REAL(wp), DIMENSION(jpi,jpj) :: zsq ! specific humidity at pst |
---|
| 386 | REAL(wp), DIMENSION(jpi,jpj) :: zqlw, zqsb ! long wave and sensible heat fluxes |
---|
| 387 | REAL(wp), DIMENSION(jpi,jpj) :: zqla, zevap ! latent heat fluxes and evaporation |
---|
| 388 | REAL(wp), DIMENSION(jpi,jpj) :: zst ! surface temperature in Kelvin |
---|
| 389 | REAL(wp), DIMENSION(jpi,jpj) :: zU_zu ! bulk wind speed at height zu [m/s] |
---|
| 390 | REAL(wp), DIMENSION(jpi,jpj) :: ztpot ! potential temperature of air at z=rn_zqt [K] |
---|
| 391 | REAL(wp), DIMENSION(jpi,jpj) :: zrhoa ! density of air [kg/m^3] |
---|
[6723] | 392 | !!--------------------------------------------------------------------- |
---|
| 393 | ! |
---|
[7753] | 394 | ! local scalars ( place there for vector optimisation purposes) |
---|
| 395 | zst(:,:) = pst(:,:) + rt0 ! convert SST from Celcius to Kelvin (and set minimum value far above 0 K) |
---|
[6723] | 396 | |
---|
[13284] | 397 | ! --- cloud cover --- ! |
---|
| 398 | cloud_fra(:,:) = sf(jp_cc)%fnow(:,:,1) |
---|
| 399 | |
---|
[6723] | 400 | ! ----------------------------------------------------------------------------- ! |
---|
| 401 | ! 0 Wind components and module at T-point relative to the moving ocean ! |
---|
| 402 | ! ----------------------------------------------------------------------------- ! |
---|
| 403 | |
---|
[7753] | 404 | ! ... components ( U10m - U_oce ) at T-point (unmasked) |
---|
| 405 | !!gm move zwnd_i (_j) set to zero inside the key_cyclone ??? |
---|
| 406 | zwnd_i(:,:) = 0._wp |
---|
| 407 | zwnd_j(:,:) = 0._wp |
---|
[6723] | 408 | #if defined key_cyclone |
---|
| 409 | CALL wnd_cyc( kt, zwnd_i, zwnd_j ) ! add analytical tropical cyclone (Vincent et al. JGR 2012) |
---|
| 410 | DO jj = 2, jpjm1 |
---|
| 411 | DO ji = fs_2, fs_jpim1 ! vect. opt. |
---|
| 412 | sf(jp_wndi)%fnow(ji,jj,1) = sf(jp_wndi)%fnow(ji,jj,1) + zwnd_i(ji,jj) |
---|
| 413 | sf(jp_wndj)%fnow(ji,jj,1) = sf(jp_wndj)%fnow(ji,jj,1) + zwnd_j(ji,jj) |
---|
| 414 | END DO |
---|
| 415 | END DO |
---|
| 416 | #endif |
---|
| 417 | DO jj = 2, jpjm1 |
---|
| 418 | DO ji = fs_2, fs_jpim1 ! vect. opt. |
---|
| 419 | zwnd_i(ji,jj) = ( sf(jp_wndi)%fnow(ji,jj,1) - rn_vfac * 0.5 * ( pu(ji-1,jj ) + pu(ji,jj) ) ) |
---|
| 420 | zwnd_j(ji,jj) = ( sf(jp_wndj)%fnow(ji,jj,1) - rn_vfac * 0.5 * ( pv(ji ,jj-1) + pv(ji,jj) ) ) |
---|
| 421 | END DO |
---|
| 422 | END DO |
---|
[10425] | 423 | CALL lbc_lnk_multi( 'sbcblk', zwnd_i, 'T', -1., zwnd_j, 'T', -1. ) |
---|
[6723] | 424 | ! ... scalar wind ( = | U10m - U_oce | ) at T-point (masked) |
---|
[7753] | 425 | wndm(:,:) = SQRT( zwnd_i(:,:) * zwnd_i(:,:) & |
---|
| 426 | & + zwnd_j(:,:) * zwnd_j(:,:) ) * tmask(:,:,1) |
---|
[6723] | 427 | |
---|
| 428 | ! ----------------------------------------------------------------------------- ! |
---|
| 429 | ! I Radiative FLUXES ! |
---|
| 430 | ! ----------------------------------------------------------------------------- ! |
---|
| 431 | |
---|
| 432 | ! ocean albedo assumed to be constant + modify now Qsr to include the diurnal cycle ! Short Wave |
---|
| 433 | zztmp = 1. - albo |
---|
| 434 | IF( ln_dm2dc ) THEN ; qsr(:,:) = zztmp * sbc_dcy( sf(jp_qsr)%fnow(:,:,1) ) * tmask(:,:,1) |
---|
[7753] | 435 | ELSE ; qsr(:,:) = zztmp * sf(jp_qsr)%fnow(:,:,1) * tmask(:,:,1) |
---|
[6723] | 436 | ENDIF |
---|
| 437 | |
---|
[7753] | 438 | zqlw(:,:) = ( sf(jp_qlw)%fnow(:,:,1) - Stef * zst(:,:)*zst(:,:)*zst(:,:)*zst(:,:) ) * tmask(:,:,1) ! Long Wave |
---|
[6723] | 439 | |
---|
| 440 | ! ----------------------------------------------------------------------------- ! |
---|
| 441 | ! II Turbulent FLUXES ! |
---|
| 442 | ! ----------------------------------------------------------------------------- ! |
---|
| 443 | |
---|
| 444 | ! ... specific humidity at SST and IST tmask( |
---|
[6727] | 445 | zsq(:,:) = 0.98 * q_sat( zst(:,:), sf(jp_slp)%fnow(:,:,1) ) |
---|
[6723] | 446 | !! |
---|
| 447 | !! Estimate of potential temperature at z=rn_zqt, based on adiabatic lapse-rate |
---|
| 448 | !! (see Josey, Gulev & Yu, 2013) / doi=10.1016/B978-0-12-391851-2.00005-2 |
---|
| 449 | !! (since reanalysis products provide T at z, not theta !) |
---|
[6727] | 450 | ztpot = sf(jp_tair)%fnow(:,:,1) + gamma_moist( sf(jp_tair)%fnow(:,:,1), sf(jp_humi)%fnow(:,:,1) ) * rn_zqt |
---|
[6723] | 451 | |
---|
| 452 | SELECT CASE( nblk ) !== transfer coefficients ==! Cd, Ch, Ce at T-point |
---|
[6727] | 453 | ! |
---|
| 454 | CASE( np_NCAR ) ; CALL turb_ncar ( rn_zqt, rn_zu, zst, ztpot, zsq, sf(jp_humi)%fnow, wndm, & ! NCAR-COREv2 |
---|
[9019] | 455 | & Cd_atm, Ch_atm, Ce_atm, t_zu, q_zu, zU_zu, cdn_oce, chn_oce, cen_oce ) |
---|
[6727] | 456 | CASE( np_COARE_3p0 ) ; CALL turb_coare ( rn_zqt, rn_zu, zst, ztpot, zsq, sf(jp_humi)%fnow, wndm, & ! COARE v3.0 |
---|
[9019] | 457 | & Cd_atm, Ch_atm, Ce_atm, t_zu, q_zu, zU_zu, cdn_oce, chn_oce, cen_oce ) |
---|
[6727] | 458 | CASE( np_COARE_3p5 ) ; CALL turb_coare3p5( rn_zqt, rn_zu, zst, ztpot, zsq, sf(jp_humi)%fnow, wndm, & ! COARE v3.5 |
---|
[9019] | 459 | & Cd_atm, Ch_atm, Ce_atm, t_zu, q_zu, zU_zu, cdn_oce, chn_oce, cen_oce ) |
---|
[6727] | 460 | CASE( np_ECMWF ) ; CALL turb_ecmwf ( rn_zqt, rn_zu, zst, ztpot, zsq, sf(jp_humi)%fnow, wndm, & ! ECMWF |
---|
[9019] | 461 | & Cd_atm, Ch_atm, Ce_atm, t_zu, q_zu, zU_zu, cdn_oce, chn_oce, cen_oce ) |
---|
[6723] | 462 | CASE DEFAULT |
---|
[7163] | 463 | CALL ctl_stop( 'STOP', 'sbc_oce: non-existing bulk formula selected' ) |
---|
[6723] | 464 | END SELECT |
---|
| 465 | |
---|
[6727] | 466 | ! ! Compute true air density : |
---|
| 467 | IF( ABS(rn_zu - rn_zqt) > 0.01 ) THEN ! At zu: (probably useless to remove zrho*grav*rn_zu from SLP...) |
---|
[9019] | 468 | zrhoa(:,:) = rho_air( t_zu(:,:) , q_zu(:,:) , sf(jp_slp)%fnow(:,:,1) ) |
---|
[6727] | 469 | ELSE ! At zt: |
---|
| 470 | zrhoa(:,:) = rho_air( sf(jp_tair)%fnow(:,:,1), sf(jp_humi)%fnow(:,:,1), sf(jp_slp)%fnow(:,:,1) ) |
---|
[6723] | 471 | END IF |
---|
| 472 | |
---|
[9019] | 473 | !! CALL iom_put( "Cd_oce", Cd_atm) ! output value of pure ocean-atm. transfer coef. |
---|
| 474 | !! CALL iom_put( "Ch_oce", Ch_atm) ! output value of pure ocean-atm. transfer coef. |
---|
[7355] | 475 | |
---|
[6727] | 476 | DO jj = 1, jpj ! tau module, i and j component |
---|
[6723] | 477 | DO ji = 1, jpi |
---|
[9019] | 478 | zztmp = zrhoa(ji,jj) * zU_zu(ji,jj) * Cd_atm(ji,jj) ! using bulk wind speed |
---|
[6723] | 479 | taum (ji,jj) = zztmp * wndm (ji,jj) |
---|
| 480 | zwnd_i(ji,jj) = zztmp * zwnd_i(ji,jj) |
---|
| 481 | zwnd_j(ji,jj) = zztmp * zwnd_j(ji,jj) |
---|
| 482 | END DO |
---|
| 483 | END DO |
---|
| 484 | |
---|
[6727] | 485 | ! ! add the HF tau contribution to the wind stress module |
---|
[7753] | 486 | IF( lhftau ) taum(:,:) = taum(:,:) + sf(jp_tdif)%fnow(:,:,1) |
---|
[6727] | 487 | |
---|
[6723] | 488 | CALL iom_put( "taum_oce", taum ) ! output wind stress module |
---|
| 489 | |
---|
| 490 | ! ... utau, vtau at U- and V_points, resp. |
---|
| 491 | ! Note the use of 0.5*(2-umask) in order to unmask the stress along coastlines |
---|
| 492 | ! Note the use of MAX(tmask(i,j),tmask(i+1,j) is to mask tau over ice shelves |
---|
| 493 | DO jj = 1, jpjm1 |
---|
| 494 | DO ji = 1, fs_jpim1 |
---|
| 495 | utau(ji,jj) = 0.5 * ( 2. - umask(ji,jj,1) ) * ( zwnd_i(ji,jj) + zwnd_i(ji+1,jj ) ) & |
---|
| 496 | & * MAX(tmask(ji,jj,1),tmask(ji+1,jj,1)) |
---|
| 497 | vtau(ji,jj) = 0.5 * ( 2. - vmask(ji,jj,1) ) * ( zwnd_j(ji,jj) + zwnd_j(ji ,jj+1) ) & |
---|
| 498 | & * MAX(tmask(ji,jj,1),tmask(ji,jj+1,1)) |
---|
| 499 | END DO |
---|
| 500 | END DO |
---|
[10425] | 501 | CALL lbc_lnk_multi( 'sbcblk', utau, 'U', -1., vtau, 'V', -1. ) |
---|
[6723] | 502 | |
---|
| 503 | ! Turbulent fluxes over ocean |
---|
| 504 | ! ----------------------------- |
---|
| 505 | |
---|
| 506 | ! zqla used as temporary array, for rho*U (common term of bulk formulae): |
---|
[9727] | 507 | zqla(:,:) = zrhoa(:,:) * zU_zu(:,:) * tmask(:,:,1) |
---|
[6723] | 508 | |
---|
| 509 | IF( ABS( rn_zu - rn_zqt) < 0.01_wp ) THEN |
---|
| 510 | !! q_air and t_air are given at 10m (wind reference height) |
---|
[9019] | 511 | zevap(:,:) = rn_efac*MAX( 0._wp, zqla(:,:)*Ce_atm(:,:)*(zsq(:,:) - sf(jp_humi)%fnow(:,:,1)) ) ! Evaporation, using bulk wind speed |
---|
| 512 | zqsb (:,:) = cp_air(sf(jp_humi)%fnow(:,:,1))*zqla(:,:)*Ch_atm(:,:)*(zst(:,:) - ztpot(:,:) ) ! Sensible Heat, using bulk wind speed |
---|
[6723] | 513 | ELSE |
---|
| 514 | !! q_air and t_air are not given at 10m (wind reference height) |
---|
| 515 | ! Values of temp. and hum. adjusted to height of wind during bulk algorithm iteration must be used!!! |
---|
[9019] | 516 | zevap(:,:) = rn_efac*MAX( 0._wp, zqla(:,:)*Ce_atm(:,:)*(zsq(:,:) - q_zu(:,:) ) ) ! Evaporation, using bulk wind speed |
---|
| 517 | zqsb (:,:) = cp_air(sf(jp_humi)%fnow(:,:,1))*zqla(:,:)*Ch_atm(:,:)*(zst(:,:) - t_zu(:,:) ) ! Sensible Heat, using bulk wind speed |
---|
[6723] | 518 | ENDIF |
---|
| 519 | |
---|
[6727] | 520 | zqla(:,:) = L_vap(zst(:,:)) * zevap(:,:) ! Latent Heat flux |
---|
[6723] | 521 | |
---|
| 522 | |
---|
| 523 | IF(ln_ctl) THEN |
---|
[9019] | 524 | CALL prt_ctl( tab2d_1=zqla , clinfo1=' blk_oce: zqla : ', tab2d_2=Ce_atm , clinfo2=' Ce_oce : ' ) |
---|
| 525 | CALL prt_ctl( tab2d_1=zqsb , clinfo1=' blk_oce: zqsb : ', tab2d_2=Ch_atm , clinfo2=' Ch_oce : ' ) |
---|
[6723] | 526 | CALL prt_ctl( tab2d_1=zqlw , clinfo1=' blk_oce: zqlw : ', tab2d_2=qsr, clinfo2=' qsr : ' ) |
---|
| 527 | CALL prt_ctl( tab2d_1=zsq , clinfo1=' blk_oce: zsq : ', tab2d_2=zst, clinfo2=' zst : ' ) |
---|
| 528 | CALL prt_ctl( tab2d_1=utau , clinfo1=' blk_oce: utau : ', mask1=umask, & |
---|
| 529 | & tab2d_2=vtau , clinfo2= ' vtau : ', mask2=vmask ) |
---|
| 530 | CALL prt_ctl( tab2d_1=wndm , clinfo1=' blk_oce: wndm : ') |
---|
| 531 | CALL prt_ctl( tab2d_1=zst , clinfo1=' blk_oce: zst : ') |
---|
| 532 | ENDIF |
---|
| 533 | |
---|
| 534 | ! ----------------------------------------------------------------------------- ! |
---|
| 535 | ! III Total FLUXES ! |
---|
| 536 | ! ----------------------------------------------------------------------------- ! |
---|
| 537 | ! |
---|
[7753] | 538 | emp (:,:) = ( zevap(:,:) & ! mass flux (evap. - precip.) |
---|
| 539 | & - sf(jp_prec)%fnow(:,:,1) * rn_pfac ) * tmask(:,:,1) |
---|
| 540 | ! |
---|
| 541 | qns(:,:) = zqlw(:,:) - zqsb(:,:) - zqla(:,:) & ! Downward Non Solar |
---|
[9935] | 542 | & - sf(jp_snow)%fnow(:,:,1) * rn_pfac * rLfus & ! remove latent melting heat for solid precip |
---|
[7753] | 543 | & - zevap(:,:) * pst(:,:) * rcp & ! remove evap heat content at SST |
---|
| 544 | & + ( sf(jp_prec)%fnow(:,:,1) - sf(jp_snow)%fnow(:,:,1) ) * rn_pfac & ! add liquid precip heat content at Tair |
---|
| 545 | & * ( sf(jp_tair)%fnow(:,:,1) - rt0 ) * rcp & |
---|
| 546 | & + sf(jp_snow)%fnow(:,:,1) * rn_pfac & ! add solid precip heat content at min(Tair,Tsnow) |
---|
[9935] | 547 | & * ( MIN( sf(jp_tair)%fnow(:,:,1), rt0 ) - rt0 ) * rcpi |
---|
[9727] | 548 | qns(:,:) = qns(:,:) * tmask(:,:,1) |
---|
[7753] | 549 | ! |
---|
[9570] | 550 | #if defined key_si3 |
---|
[9656] | 551 | qns_oce(:,:) = zqlw(:,:) - zqsb(:,:) - zqla(:,:) ! non solar without emp (only needed by SI3) |
---|
[7753] | 552 | qsr_oce(:,:) = qsr(:,:) |
---|
[6723] | 553 | #endif |
---|
| 554 | ! |
---|
| 555 | IF ( nn_ice == 0 ) THEN |
---|
| 556 | CALL iom_put( "qlw_oce" , zqlw ) ! output downward longwave heat over the ocean |
---|
| 557 | CALL iom_put( "qsb_oce" , - zqsb ) ! output downward sensible heat over the ocean |
---|
| 558 | CALL iom_put( "qla_oce" , - zqla ) ! output downward latent heat over the ocean |
---|
| 559 | CALL iom_put( "qemp_oce", qns-zqlw+zqsb+zqla ) ! output downward heat content of E-P over the ocean |
---|
| 560 | CALL iom_put( "qns_oce" , qns ) ! output downward non solar heat over the ocean |
---|
| 561 | CALL iom_put( "qsr_oce" , qsr ) ! output downward solar heat over the ocean |
---|
| 562 | CALL iom_put( "qt_oce" , qns+qsr ) ! output total downward heat over the ocean |
---|
[9727] | 563 | tprecip(:,:) = sf(jp_prec)%fnow(:,:,1) * rn_pfac * tmask(:,:,1) ! output total precipitation [kg/m2/s] |
---|
| 564 | sprecip(:,:) = sf(jp_snow)%fnow(:,:,1) * rn_pfac * tmask(:,:,1) ! output solid precipitation [kg/m2/s] |
---|
[9019] | 565 | CALL iom_put( 'snowpre', sprecip ) ! Snow |
---|
| 566 | CALL iom_put( 'precip' , tprecip ) ! Total precipitation |
---|
[6723] | 567 | ENDIF |
---|
| 568 | ! |
---|
| 569 | IF(ln_ctl) THEN |
---|
| 570 | CALL prt_ctl(tab2d_1=zqsb , clinfo1=' blk_oce: zqsb : ', tab2d_2=zqlw , clinfo2=' zqlw : ') |
---|
| 571 | CALL prt_ctl(tab2d_1=zqla , clinfo1=' blk_oce: zqla : ', tab2d_2=qsr , clinfo2=' qsr : ') |
---|
| 572 | CALL prt_ctl(tab2d_1=pst , clinfo1=' blk_oce: pst : ', tab2d_2=emp , clinfo2=' emp : ') |
---|
| 573 | CALL prt_ctl(tab2d_1=utau , clinfo1=' blk_oce: utau : ', mask1=umask, & |
---|
| 574 | & tab2d_2=vtau , clinfo2= ' vtau : ' , mask2=vmask ) |
---|
| 575 | ENDIF |
---|
| 576 | ! |
---|
| 577 | END SUBROUTINE blk_oce |
---|
| 578 | |
---|
| 579 | |
---|
[9019] | 580 | |
---|
| 581 | FUNCTION rho_air( ptak, pqa, pslp ) |
---|
| 582 | !!------------------------------------------------------------------------------- |
---|
| 583 | !! *** FUNCTION rho_air *** |
---|
| 584 | !! |
---|
| 585 | !! ** Purpose : compute density of (moist) air using the eq. of state of the atmosphere |
---|
| 586 | !! |
---|
| 587 | !! ** Author: L. Brodeau, june 2016 / AeroBulk (https://sourceforge.net/p/aerobulk) |
---|
| 588 | !!------------------------------------------------------------------------------- |
---|
| 589 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: ptak ! air temperature [K] |
---|
| 590 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: pqa ! air specific humidity [kg/kg] |
---|
| 591 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: pslp ! pressure in [Pa] |
---|
| 592 | REAL(wp), DIMENSION(jpi,jpj) :: rho_air ! density of moist air [kg/m^3] |
---|
| 593 | !!------------------------------------------------------------------------------- |
---|
| 594 | ! |
---|
| 595 | rho_air = pslp / ( R_dry*ptak * ( 1._wp + rctv0*pqa ) ) |
---|
| 596 | ! |
---|
| 597 | END FUNCTION rho_air |
---|
| 598 | |
---|
| 599 | |
---|
| 600 | FUNCTION cp_air( pqa ) |
---|
| 601 | !!------------------------------------------------------------------------------- |
---|
| 602 | !! *** FUNCTION cp_air *** |
---|
| 603 | !! |
---|
| 604 | !! ** Purpose : Compute specific heat (Cp) of moist air |
---|
| 605 | !! |
---|
| 606 | !! ** Author: L. Brodeau, june 2016 / AeroBulk (https://sourceforge.net/p/aerobulk) |
---|
| 607 | !!------------------------------------------------------------------------------- |
---|
| 608 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: pqa ! air specific humidity [kg/kg] |
---|
| 609 | REAL(wp), DIMENSION(jpi,jpj) :: cp_air ! specific heat of moist air [J/K/kg] |
---|
| 610 | !!------------------------------------------------------------------------------- |
---|
| 611 | ! |
---|
| 612 | Cp_air = Cp_dry + Cp_vap * pqa |
---|
| 613 | ! |
---|
| 614 | END FUNCTION cp_air |
---|
| 615 | |
---|
| 616 | |
---|
| 617 | FUNCTION q_sat( ptak, pslp ) |
---|
| 618 | !!---------------------------------------------------------------------------------- |
---|
| 619 | !! *** FUNCTION q_sat *** |
---|
| 620 | !! |
---|
| 621 | !! ** Purpose : Specific humidity at saturation in [kg/kg] |
---|
| 622 | !! Based on accurate estimate of "e_sat" |
---|
| 623 | !! aka saturation water vapor (Goff, 1957) |
---|
| 624 | !! |
---|
| 625 | !! ** Author: L. Brodeau, june 2016 / AeroBulk (https://sourceforge.net/p/aerobulk) |
---|
| 626 | !!---------------------------------------------------------------------------------- |
---|
| 627 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: ptak ! air temperature [K] |
---|
| 628 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: pslp ! sea level atmospheric pressure [Pa] |
---|
| 629 | REAL(wp), DIMENSION(jpi,jpj) :: q_sat ! Specific humidity at saturation [kg/kg] |
---|
| 630 | ! |
---|
| 631 | INTEGER :: ji, jj ! dummy loop indices |
---|
| 632 | REAL(wp) :: ze_sat, ztmp ! local scalar |
---|
| 633 | !!---------------------------------------------------------------------------------- |
---|
| 634 | ! |
---|
| 635 | DO jj = 1, jpj |
---|
| 636 | DO ji = 1, jpi |
---|
| 637 | ! |
---|
| 638 | ztmp = rt0 / ptak(ji,jj) |
---|
| 639 | ! |
---|
| 640 | ! Vapour pressure at saturation [hPa] : WMO, (Goff, 1957) |
---|
| 641 | ze_sat = 10.**( 10.79574*(1. - ztmp) - 5.028*LOG10(ptak(ji,jj)/rt0) & |
---|
| 642 | & + 1.50475*10.**(-4)*(1. - 10.**(-8.2969*(ptak(ji,jj)/rt0 - 1.)) ) & |
---|
| 643 | & + 0.42873*10.**(-3)*(10.**(4.76955*(1. - ztmp)) - 1.) + 0.78614 ) |
---|
| 644 | ! |
---|
| 645 | 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] |
---|
| 646 | ! |
---|
| 647 | END DO |
---|
| 648 | END DO |
---|
| 649 | ! |
---|
| 650 | END FUNCTION q_sat |
---|
| 651 | |
---|
| 652 | |
---|
| 653 | FUNCTION gamma_moist( ptak, pqa ) |
---|
| 654 | !!---------------------------------------------------------------------------------- |
---|
| 655 | !! *** FUNCTION gamma_moist *** |
---|
| 656 | !! |
---|
| 657 | !! ** Purpose : Compute the moist adiabatic lapse-rate. |
---|
| 658 | !! => http://glossary.ametsoc.org/wiki/Moist-adiabatic_lapse_rate |
---|
| 659 | !! => http://www.geog.ucsb.edu/~joel/g266_s10/lecture_notes/chapt03/oh10_3_01/oh10_3_01.html |
---|
| 660 | !! |
---|
| 661 | !! ** Author: L. Brodeau, june 2016 / AeroBulk (https://sourceforge.net/p/aerobulk) |
---|
| 662 | !!---------------------------------------------------------------------------------- |
---|
| 663 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: ptak ! air temperature [K] |
---|
| 664 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: pqa ! specific humidity [kg/kg] |
---|
| 665 | REAL(wp), DIMENSION(jpi,jpj) :: gamma_moist ! moist adiabatic lapse-rate |
---|
| 666 | ! |
---|
| 667 | INTEGER :: ji, jj ! dummy loop indices |
---|
| 668 | REAL(wp) :: zrv, ziRT ! local scalar |
---|
| 669 | !!---------------------------------------------------------------------------------- |
---|
| 670 | ! |
---|
| 671 | DO jj = 1, jpj |
---|
| 672 | DO ji = 1, jpi |
---|
| 673 | zrv = pqa(ji,jj) / (1. - pqa(ji,jj)) |
---|
| 674 | ziRT = 1. / (R_dry*ptak(ji,jj)) ! 1/RT |
---|
[9935] | 675 | gamma_moist(ji,jj) = grav * ( 1. + rLevap*zrv*ziRT ) / ( Cp_dry + rLevap*rLevap*zrv*reps0*ziRT/ptak(ji,jj) ) |
---|
[9019] | 676 | END DO |
---|
| 677 | END DO |
---|
| 678 | ! |
---|
| 679 | END FUNCTION gamma_moist |
---|
| 680 | |
---|
| 681 | |
---|
| 682 | FUNCTION L_vap( psst ) |
---|
| 683 | !!--------------------------------------------------------------------------------- |
---|
| 684 | !! *** FUNCTION L_vap *** |
---|
| 685 | !! |
---|
| 686 | !! ** Purpose : Compute the latent heat of vaporization of water from temperature |
---|
| 687 | !! |
---|
| 688 | !! ** Author: L. Brodeau, june 2016 / AeroBulk (https://sourceforge.net/p/aerobulk) |
---|
| 689 | !!---------------------------------------------------------------------------------- |
---|
| 690 | REAL(wp), DIMENSION(jpi,jpj) :: L_vap ! latent heat of vaporization [J/kg] |
---|
| 691 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: psst ! water temperature [K] |
---|
| 692 | !!---------------------------------------------------------------------------------- |
---|
| 693 | ! |
---|
| 694 | L_vap = ( 2.501 - 0.00237 * ( psst(:,:) - rt0) ) * 1.e6 |
---|
| 695 | ! |
---|
| 696 | END FUNCTION L_vap |
---|
| 697 | |
---|
[9570] | 698 | #if defined key_si3 |
---|
[9019] | 699 | !!---------------------------------------------------------------------- |
---|
[9570] | 700 | !! 'key_si3' SI3 sea-ice model |
---|
[9019] | 701 | !!---------------------------------------------------------------------- |
---|
| 702 | !! blk_ice_tau : provide the air-ice stress |
---|
| 703 | !! blk_ice_flx : provide the heat and mass fluxes at air-ice interface |
---|
[10534] | 704 | !! blk_ice_qcn : provide ice surface temperature and snow/ice conduction flux (emulating conduction flux) |
---|
[9019] | 705 | !! Cdn10_Lupkes2012 : Lupkes et al. (2012) air-ice drag |
---|
| 706 | !! Cdn10_Lupkes2015 : Lupkes et al. (2015) air-ice drag |
---|
| 707 | !!---------------------------------------------------------------------- |
---|
| 708 | |
---|
[6723] | 709 | SUBROUTINE blk_ice_tau |
---|
| 710 | !!--------------------------------------------------------------------- |
---|
| 711 | !! *** ROUTINE blk_ice_tau *** |
---|
| 712 | !! |
---|
| 713 | !! ** Purpose : provide the surface boundary condition over sea-ice |
---|
| 714 | !! |
---|
| 715 | !! ** Method : compute momentum using bulk formulation |
---|
| 716 | !! formulea, ice variables and read atmospheric fields. |
---|
| 717 | !! NB: ice drag coefficient is assumed to be a constant |
---|
| 718 | !!--------------------------------------------------------------------- |
---|
| 719 | INTEGER :: ji, jj ! dummy loop indices |
---|
[9019] | 720 | REAL(wp) :: zwndi_f , zwndj_f, zwnorm_f ! relative wind module and components at F-point |
---|
| 721 | REAL(wp) :: zwndi_t , zwndj_t ! relative wind components at T-point |
---|
[12926] | 722 | REAL(wp) :: zztmp1 , zztmp2 ! temporary values |
---|
[9019] | 723 | REAL(wp), DIMENSION(jpi,jpj) :: zrhoa ! transfer coefficient for momentum (tau) |
---|
[6723] | 724 | !!--------------------------------------------------------------------- |
---|
| 725 | ! |
---|
[9019] | 726 | ! set transfer coefficients to default sea-ice values |
---|
| 727 | Cd_atm(:,:) = Cd_ice |
---|
| 728 | Ch_atm(:,:) = Cd_ice |
---|
| 729 | Ce_atm(:,:) = Cd_ice |
---|
[6723] | 730 | |
---|
[9019] | 731 | wndm_ice(:,:) = 0._wp !!gm brutal.... |
---|
[7355] | 732 | |
---|
[9019] | 733 | ! ------------------------------------------------------------ ! |
---|
| 734 | ! Wind module relative to the moving ice ( U10m - U_ice ) ! |
---|
| 735 | ! ------------------------------------------------------------ ! |
---|
[9767] | 736 | ! C-grid ice dynamics : U & V-points (same as ocean) |
---|
| 737 | DO jj = 2, jpjm1 |
---|
| 738 | DO ji = fs_2, fs_jpim1 ! vect. opt. |
---|
| 739 | zwndi_t = ( sf(jp_wndi)%fnow(ji,jj,1) - rn_vfac * 0.5 * ( u_ice(ji-1,jj ) + u_ice(ji,jj) ) ) |
---|
| 740 | zwndj_t = ( sf(jp_wndj)%fnow(ji,jj,1) - rn_vfac * 0.5 * ( v_ice(ji ,jj-1) + v_ice(ji,jj) ) ) |
---|
| 741 | wndm_ice(ji,jj) = SQRT( zwndi_t * zwndi_t + zwndj_t * zwndj_t ) * tmask(ji,jj,1) |
---|
[9019] | 742 | END DO |
---|
[9767] | 743 | END DO |
---|
[10425] | 744 | CALL lbc_lnk( 'sbcblk', wndm_ice, 'T', 1. ) |
---|
[9767] | 745 | ! |
---|
[9019] | 746 | ! Make ice-atm. drag dependent on ice concentration |
---|
| 747 | IF ( ln_Cd_L12 ) THEN ! calculate new drag from Lupkes(2012) equations |
---|
| 748 | CALL Cdn10_Lupkes2012( Cd_atm ) |
---|
| 749 | Ch_atm(:,:) = Cd_atm(:,:) ! momentum and heat transfer coef. are considered identical |
---|
| 750 | ELSEIF( ln_Cd_L15 ) THEN ! calculate new drag from Lupkes(2015) equations |
---|
| 751 | CALL Cdn10_Lupkes2015( Cd_atm, Ch_atm ) |
---|
[7355] | 752 | ENDIF |
---|
| 753 | |
---|
[9019] | 754 | !! CALL iom_put( "Cd_ice", Cd_atm) ! output value of pure ice-atm. transfer coef. |
---|
| 755 | !! CALL iom_put( "Ch_ice", Ch_atm) ! output value of pure ice-atm. transfer coef. |
---|
| 756 | |
---|
[6723] | 757 | ! local scalars ( place there for vector optimisation purposes) |
---|
| 758 | ! Computing density of air! Way denser that 1.2 over sea-ice !!! |
---|
[7355] | 759 | zrhoa (:,:) = rho_air(sf(jp_tair)%fnow(:,:,1), sf(jp_humi)%fnow(:,:,1), sf(jp_slp)%fnow(:,:,1)) |
---|
[6723] | 760 | |
---|
[9019] | 761 | ! ------------------------------------------------------------ ! |
---|
| 762 | ! Wind stress relative to the moving ice ( U10m - U_ice ) ! |
---|
| 763 | ! ------------------------------------------------------------ ! |
---|
[12926] | 764 | zztmp1 = rn_vfac * 0.5_wp |
---|
| 765 | DO jj = 2, jpj ! at T point |
---|
| 766 | DO ji = 2, jpi |
---|
| 767 | zztmp2 = zrhoa(ji,jj) * Cd_atm(ji,jj) * wndm_ice(ji,jj) |
---|
| 768 | utau_ice(ji,jj) = zztmp2 * ( sf(jp_wndi)%fnow(ji,jj,1) - zztmp1 * ( u_ice(ji-1,jj ) + u_ice(ji,jj) ) ) |
---|
| 769 | vtau_ice(ji,jj) = zztmp2 * ( sf(jp_wndj)%fnow(ji,jj,1) - zztmp1 * ( v_ice(ji ,jj-1) + v_ice(ji,jj) ) ) |
---|
| 770 | END DO |
---|
| 771 | END DO |
---|
| 772 | ! |
---|
| 773 | DO jj = 2, jpjm1 ! U & V-points (same as ocean). |
---|
[9767] | 774 | DO ji = fs_2, fs_jpim1 ! vect. opt. |
---|
[12926] | 775 | ! take care of the land-sea mask to avoid "pollution" of coastal stress. p[uv]taui used in frazil and rheology |
---|
| 776 | zztmp1 = 0.5_wp * ( 2. - umask(ji,jj,1) ) * MAX( tmask(ji,jj,1),tmask(ji+1,jj ,1) ) |
---|
| 777 | zztmp2 = 0.5_wp * ( 2. - vmask(ji,jj,1) ) * MAX( tmask(ji,jj,1),tmask(ji ,jj+1,1) ) |
---|
| 778 | utau_ice(ji,jj) = zztmp1 * ( utau_ice(ji,jj) + utau_ice(ji+1,jj ) ) |
---|
| 779 | vtau_ice(ji,jj) = zztmp2 * ( vtau_ice(ji,jj) + vtau_ice(ji ,jj+1) ) |
---|
[6723] | 780 | END DO |
---|
[9767] | 781 | END DO |
---|
[10425] | 782 | CALL lbc_lnk_multi( 'sbcblk', utau_ice, 'U', -1., vtau_ice, 'V', -1. ) |
---|
[9019] | 783 | ! |
---|
[9767] | 784 | ! |
---|
[6723] | 785 | IF(ln_ctl) THEN |
---|
| 786 | CALL prt_ctl(tab2d_1=utau_ice , clinfo1=' blk_ice: utau_ice : ', tab2d_2=vtau_ice , clinfo2=' vtau_ice : ') |
---|
| 787 | CALL prt_ctl(tab2d_1=wndm_ice , clinfo1=' blk_ice: wndm_ice : ') |
---|
| 788 | ENDIF |
---|
[9019] | 789 | ! |
---|
[6723] | 790 | END SUBROUTINE blk_ice_tau |
---|
| 791 | |
---|
| 792 | |
---|
[9019] | 793 | SUBROUTINE blk_ice_flx( ptsu, phs, phi, palb ) |
---|
[6723] | 794 | !!--------------------------------------------------------------------- |
---|
| 795 | !! *** ROUTINE blk_ice_flx *** |
---|
| 796 | !! |
---|
[9019] | 797 | !! ** Purpose : provide the heat and mass fluxes at air-ice interface |
---|
[6723] | 798 | !! |
---|
| 799 | !! ** Method : compute heat and freshwater exchanged |
---|
| 800 | !! between atmosphere and sea-ice using bulk formulation |
---|
| 801 | !! formulea, ice variables and read atmmospheric fields. |
---|
| 802 | !! |
---|
| 803 | !! caution : the net upward water flux has with mm/day unit |
---|
| 804 | !!--------------------------------------------------------------------- |
---|
[6727] | 805 | REAL(wp), DIMENSION(:,:,:), INTENT(in) :: ptsu ! sea ice surface temperature |
---|
[9019] | 806 | REAL(wp), DIMENSION(:,:,:), INTENT(in) :: phs ! snow thickness |
---|
| 807 | REAL(wp), DIMENSION(:,:,:), INTENT(in) :: phi ! ice thickness |
---|
[6727] | 808 | REAL(wp), DIMENSION(:,:,:), INTENT(in) :: palb ! ice albedo (all skies) |
---|
[6723] | 809 | !! |
---|
[6727] | 810 | INTEGER :: ji, jj, jl ! dummy loop indices |
---|
[9454] | 811 | REAL(wp) :: zst3 ! local variable |
---|
[6727] | 812 | REAL(wp) :: zcoef_dqlw, zcoef_dqla ! - - |
---|
[13284] | 813 | REAL(wp) :: zztmp, z1_rLsub ! - - |
---|
[9454] | 814 | REAL(wp), DIMENSION(jpi,jpj,jpl) :: z1_st ! inverse of surface temperature |
---|
[9019] | 815 | REAL(wp), DIMENSION(jpi,jpj,jpl) :: z_qlw ! long wave heat flux over ice |
---|
| 816 | REAL(wp), DIMENSION(jpi,jpj,jpl) :: z_qsb ! sensible heat flux over ice |
---|
| 817 | REAL(wp), DIMENSION(jpi,jpj,jpl) :: z_dqlw ! long wave heat sensitivity over ice |
---|
| 818 | REAL(wp), DIMENSION(jpi,jpj,jpl) :: z_dqsb ! sensible heat sensitivity over ice |
---|
[9656] | 819 | REAL(wp), DIMENSION(jpi,jpj) :: zevap, zsnw ! evaporation and snw distribution after wind blowing (SI3) |
---|
[9019] | 820 | REAL(wp), DIMENSION(jpi,jpj) :: zrhoa |
---|
[12276] | 821 | REAL(wp), DIMENSION(jpi,jpj) :: ztmp, ztmp2 |
---|
[13284] | 822 | REAL(wp), DIMENSION(jpi,jpj) :: ztri |
---|
[6723] | 823 | !!--------------------------------------------------------------------- |
---|
| 824 | ! |
---|
[9019] | 825 | zcoef_dqlw = 4.0 * 0.95 * Stef ! local scalars |
---|
| 826 | zcoef_dqla = -Ls * 11637800. * (-5897.8) |
---|
[6723] | 827 | ! |
---|
[6727] | 828 | zrhoa(:,:) = rho_air( sf(jp_tair)%fnow(:,:,1), sf(jp_humi)%fnow(:,:,1), sf(jp_slp)%fnow(:,:,1) ) |
---|
[6723] | 829 | ! |
---|
| 830 | zztmp = 1. / ( 1. - albo ) |
---|
[9454] | 831 | WHERE( ptsu(:,:,:) /= 0._wp ) ; z1_st(:,:,:) = 1._wp / ptsu(:,:,:) |
---|
| 832 | ELSEWHERE ; z1_st(:,:,:) = 0._wp |
---|
| 833 | END WHERE |
---|
[7753] | 834 | ! ! ========================== ! |
---|
| 835 | DO jl = 1, jpl ! Loop over ice categories ! |
---|
| 836 | ! ! ========================== ! |
---|
[6723] | 837 | DO jj = 1 , jpj |
---|
| 838 | DO ji = 1, jpi |
---|
| 839 | ! ----------------------------! |
---|
| 840 | ! I Radiative FLUXES ! |
---|
| 841 | ! ----------------------------! |
---|
[9454] | 842 | zst3 = ptsu(ji,jj,jl) * ptsu(ji,jj,jl) * ptsu(ji,jj,jl) |
---|
[6723] | 843 | ! Short Wave (sw) |
---|
| 844 | qsr_ice(ji,jj,jl) = zztmp * ( 1. - palb(ji,jj,jl) ) * qsr(ji,jj) |
---|
| 845 | ! Long Wave (lw) |
---|
| 846 | z_qlw(ji,jj,jl) = 0.95 * ( sf(jp_qlw)%fnow(ji,jj,1) - Stef * ptsu(ji,jj,jl) * zst3 ) * tmask(ji,jj,1) |
---|
| 847 | ! lw sensitivity |
---|
| 848 | z_dqlw(ji,jj,jl) = zcoef_dqlw * zst3 |
---|
| 849 | |
---|
| 850 | ! ----------------------------! |
---|
| 851 | ! II Turbulent FLUXES ! |
---|
| 852 | ! ----------------------------! |
---|
| 853 | |
---|
[9019] | 854 | ! ... turbulent heat fluxes with Ch_atm recalculated in blk_ice_tau |
---|
[6723] | 855 | ! Sensible Heat |
---|
[9019] | 856 | 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] | 857 | ! Latent Heat |
---|
[9019] | 858 | qla_ice(ji,jj,jl) = rn_efac * MAX( 0.e0, zrhoa(ji,jj) * Ls * Ch_atm(ji,jj) * wndm_ice(ji,jj) * & |
---|
[9454] | 859 | & ( 11637800. * EXP( -5897.8 * z1_st(ji,jj,jl) ) / zrhoa(ji,jj) - sf(jp_humi)%fnow(ji,jj,1) ) ) |
---|
[6723] | 860 | ! Latent heat sensitivity for ice (Dqla/Dt) |
---|
| 861 | IF( qla_ice(ji,jj,jl) > 0._wp ) THEN |
---|
[9454] | 862 | dqla_ice(ji,jj,jl) = rn_efac * zcoef_dqla * Ch_atm(ji,jj) * wndm_ice(ji,jj) * & |
---|
| 863 | & z1_st(ji,jj,jl)*z1_st(ji,jj,jl) * EXP(-5897.8 * z1_st(ji,jj,jl)) |
---|
[6723] | 864 | ELSE |
---|
| 865 | dqla_ice(ji,jj,jl) = 0._wp |
---|
| 866 | ENDIF |
---|
| 867 | |
---|
| 868 | ! Sensible heat sensitivity (Dqsb_ice/Dtn_ice) |
---|
[9019] | 869 | z_dqsb(ji,jj,jl) = zrhoa(ji,jj) * cpa * Ch_atm(ji,jj) * wndm_ice(ji,jj) |
---|
[6723] | 870 | |
---|
| 871 | ! ----------------------------! |
---|
| 872 | ! III Total FLUXES ! |
---|
| 873 | ! ----------------------------! |
---|
| 874 | ! Downward Non Solar flux |
---|
| 875 | qns_ice (ji,jj,jl) = z_qlw (ji,jj,jl) - z_qsb (ji,jj,jl) - qla_ice (ji,jj,jl) |
---|
| 876 | ! Total non solar heat flux sensitivity for ice |
---|
| 877 | dqns_ice(ji,jj,jl) = - ( z_dqlw(ji,jj,jl) + z_dqsb(ji,jj,jl) + dqla_ice(ji,jj,jl) ) |
---|
| 878 | END DO |
---|
| 879 | ! |
---|
| 880 | END DO |
---|
| 881 | ! |
---|
| 882 | END DO |
---|
| 883 | ! |
---|
[9727] | 884 | tprecip(:,:) = sf(jp_prec)%fnow(:,:,1) * rn_pfac * tmask(:,:,1) ! total precipitation [kg/m2/s] |
---|
| 885 | sprecip(:,:) = sf(jp_snow)%fnow(:,:,1) * rn_pfac * tmask(:,:,1) ! solid precipitation [kg/m2/s] |
---|
[9019] | 886 | CALL iom_put( 'snowpre', sprecip ) ! Snow precipitation |
---|
| 887 | CALL iom_put( 'precip' , tprecip ) ! Total precipitation |
---|
[6723] | 888 | |
---|
| 889 | ! --- evaporation --- ! |
---|
[9935] | 890 | z1_rLsub = 1._wp / rLsub |
---|
| 891 | evap_ice (:,:,:) = rn_efac * qla_ice (:,:,:) * z1_rLsub ! sublimation |
---|
| 892 | devap_ice(:,:,:) = rn_efac * dqla_ice(:,:,:) * z1_rLsub ! d(sublimation)/dT |
---|
| 893 | zevap (:,:) = rn_efac * ( emp(:,:) + tprecip(:,:) ) ! evaporation over ocean |
---|
[6723] | 894 | |
---|
[7753] | 895 | ! --- evaporation minus precipitation --- ! |
---|
| 896 | zsnw(:,:) = 0._wp |
---|
[13284] | 897 | CALL ice_var_snwblow( (1.-at_i_b(:,:)), zsnw ) ! snow distribution over ice after wind blowing |
---|
[9019] | 898 | emp_oce(:,:) = ( 1._wp - at_i_b(:,:) ) * zevap(:,:) - ( tprecip(:,:) - sprecip(:,:) ) - sprecip(:,:) * (1._wp - zsnw ) |
---|
[7753] | 899 | emp_ice(:,:) = SUM( a_i_b(:,:,:) * evap_ice(:,:,:), dim=3 ) - sprecip(:,:) * zsnw |
---|
| 900 | emp_tot(:,:) = emp_oce(:,:) + emp_ice(:,:) |
---|
[6723] | 901 | |
---|
[7753] | 902 | ! --- heat flux associated with emp --- ! |
---|
[9019] | 903 | qemp_oce(:,:) = - ( 1._wp - at_i_b(:,:) ) * zevap(:,:) * sst_m(:,:) * rcp & ! evap at sst |
---|
[7753] | 904 | & + ( tprecip(:,:) - sprecip(:,:) ) * ( sf(jp_tair)%fnow(:,:,1) - rt0 ) * rcp & ! liquid precip at Tair |
---|
| 905 | & + sprecip(:,:) * ( 1._wp - zsnw ) * & ! solid precip at min(Tair,Tsnow) |
---|
[9935] | 906 | & ( ( MIN( sf(jp_tair)%fnow(:,:,1), rt0 ) - rt0 ) * rcpi * tmask(:,:,1) - rLfus ) |
---|
[7753] | 907 | qemp_ice(:,:) = sprecip(:,:) * zsnw * & ! solid precip (only) |
---|
[9935] | 908 | & ( ( MIN( sf(jp_tair)%fnow(:,:,1), rt0 ) - rt0 ) * rcpi * tmask(:,:,1) - rLfus ) |
---|
[6723] | 909 | |
---|
[7753] | 910 | ! --- total solar and non solar fluxes --- ! |
---|
[9019] | 911 | qns_tot(:,:) = ( 1._wp - at_i_b(:,:) ) * qns_oce(:,:) + SUM( a_i_b(:,:,:) * qns_ice(:,:,:), dim=3 ) & |
---|
| 912 | & + qemp_ice(:,:) + qemp_oce(:,:) |
---|
| 913 | qsr_tot(:,:) = ( 1._wp - at_i_b(:,:) ) * qsr_oce(:,:) + SUM( a_i_b(:,:,:) * qsr_ice(:,:,:), dim=3 ) |
---|
[6723] | 914 | |
---|
[7753] | 915 | ! --- heat content of precip over ice in J/m3 (to be used in 1D-thermo) --- ! |
---|
[9935] | 916 | qprec_ice(:,:) = rhos * ( ( MIN( sf(jp_tair)%fnow(:,:,1), rt0 ) - rt0 ) * rcpi * tmask(:,:,1) - rLfus ) |
---|
[6723] | 917 | |
---|
[7504] | 918 | ! --- heat content of evap over ice in W/m2 (to be used in 1D-thermo) --- |
---|
| 919 | DO jl = 1, jpl |
---|
[9935] | 920 | qevap_ice(:,:,jl) = 0._wp ! should be -evap_ice(:,:,jl)*( ( Tice - rt0 ) * rcpi * tmask(:,:,1) ) |
---|
[9019] | 921 | ! ! But we do not have Tice => consider it at 0degC => evap=0 |
---|
[7504] | 922 | END DO |
---|
| 923 | |
---|
[13284] | 924 | ! --- shortwave radiation transmitted thru the surface scattering layer (W/m2) --- ! |
---|
| 925 | IF( nn_qtrice == 0 ) THEN |
---|
| 926 | ! formulation derived from Grenfell and Maykut (1977), where transmission rate |
---|
| 927 | ! 1) depends on cloudiness |
---|
| 928 | ! 2) is 0 when there is any snow |
---|
| 929 | ! 3) tends to 1 for thin ice |
---|
| 930 | ztri(:,:) = 0.18 * ( 1.0 - cloud_fra(:,:) ) + 0.35 * cloud_fra(:,:) ! surface transmission when hi>10cm |
---|
| 931 | DO jl = 1, jpl |
---|
| 932 | WHERE ( phs(:,:,jl) <= 0._wp .AND. phi(:,:,jl) < 0.1_wp ) ! linear decrease from hi=0 to 10cm |
---|
| 933 | qtr_ice_top(:,:,jl) = qsr_ice(:,:,jl) * ( ztri(:,:) + ( 1._wp - ztri(:,:) ) * ( 1._wp - phi(:,:,jl) * 10._wp ) ) |
---|
| 934 | ELSEWHERE( phs(:,:,jl) <= 0._wp .AND. phi(:,:,jl) >= 0.1_wp ) ! constant (ztri) when hi>10cm |
---|
| 935 | qtr_ice_top(:,:,jl) = qsr_ice(:,:,jl) * ztri(:,:) |
---|
| 936 | ELSEWHERE ! zero when hs>0 |
---|
| 937 | qtr_ice_top(:,:,jl) = 0._wp |
---|
| 938 | END WHERE |
---|
| 939 | ENDDO |
---|
| 940 | ELSEIF( nn_qtrice == 1 ) THEN |
---|
| 941 | ! formulation is derived from the thesis of M. Lebrun (2019). |
---|
| 942 | ! It represents the best fit using several sets of observations |
---|
| 943 | ! It comes with snow conductivities adapted to freezing/melting conditions (see icethd_zdf_bl99.F90) |
---|
| 944 | qtr_ice_top(:,:,:) = 0.3_wp * qsr_ice(:,:,:) |
---|
| 945 | ENDIF |
---|
[6723] | 946 | ! |
---|
[12276] | 947 | |
---|
| 948 | IF( iom_use('evap_ao_cea') .OR. iom_use('hflx_evap_cea') ) THEN |
---|
| 949 | ztmp(:,:) = zevap(:,:) * ( 1._wp - at_i_b(:,:) ) |
---|
| 950 | CALL iom_put( 'evap_ao_cea' , ztmp(:,:) * tmask(:,:,1) ) ! ice-free oce evap (cell average) |
---|
| 951 | CALL iom_put( 'hflx_evap_cea', ztmp(:,:) * sst_m(:,:) * rcp * tmask(:,:,1) ) ! heat flux from evap (cell average) |
---|
| 952 | ENDIF |
---|
| 953 | IF( iom_use('hflx_rain_cea') ) THEN |
---|
| 954 | ztmp(:,:) = rcp * ( SUM( (ptsu-rt0) * a_i_b, dim=3 ) + sst_m(:,:) * ( 1._wp - at_i_b(:,:) ) ) |
---|
| 955 | CALL iom_put( 'hflx_rain_cea', ( tprecip(:,:) - sprecip(:,:) ) * ztmp(:,:) ) ! heat flux from rain (cell average) |
---|
| 956 | ENDIF |
---|
| 957 | IF( iom_use('hflx_snow_cea') .OR. iom_use('hflx_snow_ao_cea') .OR. iom_use('hflx_snow_ai_cea') ) THEN |
---|
| 958 | WHERE( SUM( a_i_b, dim=3 ) > 1.e-10 ) ; ztmp(:,:) = rcpi * SUM( (ptsu-rt0) * a_i_b, dim=3 ) / SUM( a_i_b, dim=3 ) |
---|
| 959 | ELSEWHERE ; ztmp(:,:) = rcp * sst_m(:,:) |
---|
| 960 | ENDWHERE |
---|
| 961 | ztmp2(:,:) = sprecip(:,:) * ( ztmp(:,:) - rLfus ) |
---|
| 962 | CALL iom_put('hflx_snow_cea' , ztmp2(:,:) ) ! heat flux from snow (cell average) |
---|
| 963 | CALL iom_put('hflx_snow_ao_cea', ztmp2(:,:) * ( 1._wp - zsnw(:,:) ) ) ! heat flux from snow (over ocean) |
---|
| 964 | CALL iom_put('hflx_snow_ai_cea', ztmp2(:,:) * zsnw(:,:) ) ! heat flux from snow (over ice) |
---|
| 965 | ENDIF |
---|
| 966 | ! |
---|
[6723] | 967 | IF(ln_ctl) THEN |
---|
| 968 | CALL prt_ctl(tab3d_1=qla_ice , clinfo1=' blk_ice: qla_ice : ', tab3d_2=z_qsb , clinfo2=' z_qsb : ', kdim=jpl) |
---|
| 969 | CALL prt_ctl(tab3d_1=z_qlw , clinfo1=' blk_ice: z_qlw : ', tab3d_2=dqla_ice, clinfo2=' dqla_ice : ', kdim=jpl) |
---|
| 970 | CALL prt_ctl(tab3d_1=z_dqsb , clinfo1=' blk_ice: z_dqsb : ', tab3d_2=z_dqlw , clinfo2=' z_dqlw : ', kdim=jpl) |
---|
| 971 | CALL prt_ctl(tab3d_1=dqns_ice, clinfo1=' blk_ice: dqns_ice : ', tab3d_2=qsr_ice , clinfo2=' qsr_ice : ', kdim=jpl) |
---|
| 972 | CALL prt_ctl(tab3d_1=ptsu , clinfo1=' blk_ice: ptsu : ', tab3d_2=qns_ice , clinfo2=' qns_ice : ', kdim=jpl) |
---|
| 973 | CALL prt_ctl(tab2d_1=tprecip , clinfo1=' blk_ice: tprecip : ', tab2d_2=sprecip , clinfo2=' sprecip : ') |
---|
| 974 | ENDIF |
---|
| 975 | ! |
---|
| 976 | END SUBROUTINE blk_ice_flx |
---|
[6727] | 977 | |
---|
[6723] | 978 | |
---|
[10531] | 979 | SUBROUTINE blk_ice_qcn( ld_virtual_itd, ptsu, ptb, phs, phi ) |
---|
[9019] | 980 | !!--------------------------------------------------------------------- |
---|
| 981 | !! *** ROUTINE blk_ice_qcn *** |
---|
[6723] | 982 | !! |
---|
[9019] | 983 | !! ** Purpose : Compute surface temperature and snow/ice conduction flux |
---|
| 984 | !! to force sea ice / snow thermodynamics |
---|
[10534] | 985 | !! in the case conduction flux is emulated |
---|
[9019] | 986 | !! |
---|
| 987 | !! ** Method : compute surface energy balance assuming neglecting heat storage |
---|
| 988 | !! following the 0-layer Semtner (1976) approach |
---|
[6727] | 989 | !! |
---|
[9019] | 990 | !! ** Outputs : - ptsu : sea-ice / snow surface temperature (K) |
---|
| 991 | !! - qcn_ice : surface inner conduction flux (W/m2) |
---|
| 992 | !! |
---|
| 993 | !!--------------------------------------------------------------------- |
---|
[10531] | 994 | LOGICAL , INTENT(in ) :: ld_virtual_itd ! single-category option |
---|
[9076] | 995 | REAL(wp), DIMENSION(:,:,:), INTENT(inout) :: ptsu ! sea ice / snow surface temperature |
---|
| 996 | REAL(wp), DIMENSION(:,:) , INTENT(in ) :: ptb ! sea ice base temperature |
---|
| 997 | REAL(wp), DIMENSION(:,:,:), INTENT(in ) :: phs ! snow thickness |
---|
| 998 | REAL(wp), DIMENSION(:,:,:), INTENT(in ) :: phi ! sea ice thickness |
---|
[6723] | 999 | ! |
---|
[9019] | 1000 | INTEGER , PARAMETER :: nit = 10 ! number of iterations |
---|
| 1001 | REAL(wp), PARAMETER :: zepsilon = 0.1_wp ! characteristic thickness for enhanced conduction |
---|
[6723] | 1002 | ! |
---|
[9019] | 1003 | INTEGER :: ji, jj, jl ! dummy loop indices |
---|
| 1004 | INTEGER :: iter ! local integer |
---|
| 1005 | REAL(wp) :: zfac, zfac2, zfac3 ! local scalars |
---|
| 1006 | REAL(wp) :: zkeff_h, ztsu, ztsu0 ! |
---|
| 1007 | REAL(wp) :: zqc, zqnet ! |
---|
| 1008 | REAL(wp) :: zhe, zqa0 ! |
---|
| 1009 | REAL(wp), DIMENSION(jpi,jpj,jpl) :: zgfac ! enhanced conduction factor |
---|
| 1010 | !!--------------------------------------------------------------------- |
---|
| 1011 | |
---|
| 1012 | ! -------------------------------------! |
---|
| 1013 | ! I Enhanced conduction factor ! |
---|
| 1014 | ! -------------------------------------! |
---|
[10531] | 1015 | ! Emulates the enhancement of conduction by unresolved thin ice (ld_virtual_itd = T) |
---|
[9019] | 1016 | ! Fichefet and Morales Maqueda, JGR 1997 |
---|
[6723] | 1017 | ! |
---|
[9019] | 1018 | zgfac(:,:,:) = 1._wp |
---|
| 1019 | |
---|
[10531] | 1020 | IF( ld_virtual_itd ) THEN |
---|
[9019] | 1021 | ! |
---|
[9935] | 1022 | zfac = 1._wp / ( rn_cnd_s + rcnd_i ) |
---|
[9019] | 1023 | zfac2 = EXP(1._wp) * 0.5_wp * zepsilon |
---|
| 1024 | zfac3 = 2._wp / zepsilon |
---|
| 1025 | ! |
---|
| 1026 | DO jl = 1, jpl |
---|
| 1027 | DO jj = 1 , jpj |
---|
| 1028 | DO ji = 1, jpi |
---|
[9935] | 1029 | zhe = ( rn_cnd_s * phi(ji,jj,jl) + rcnd_i * phs(ji,jj,jl) ) * zfac ! Effective thickness |
---|
[9019] | 1030 | IF( zhe >= zfac2 ) zgfac(ji,jj,jl) = MIN( 2._wp, 0.5_wp * ( 1._wp + LOG( zhe * zfac3 ) ) ) ! Enhanced conduction factor |
---|
| 1031 | END DO |
---|
| 1032 | END DO |
---|
| 1033 | END DO |
---|
| 1034 | ! |
---|
[10531] | 1035 | ENDIF |
---|
[9019] | 1036 | |
---|
| 1037 | ! -------------------------------------------------------------! |
---|
| 1038 | ! II Surface temperature and conduction flux ! |
---|
| 1039 | ! -------------------------------------------------------------! |
---|
[6723] | 1040 | ! |
---|
[9935] | 1041 | zfac = rcnd_i * rn_cnd_s |
---|
[6723] | 1042 | ! |
---|
[9019] | 1043 | DO jl = 1, jpl |
---|
| 1044 | DO jj = 1 , jpj |
---|
| 1045 | DO ji = 1, jpi |
---|
| 1046 | ! |
---|
| 1047 | zkeff_h = zfac * zgfac(ji,jj,jl) / & ! Effective conductivity of the snow-ice system divided by thickness |
---|
[9935] | 1048 | & ( rcnd_i * phs(ji,jj,jl) + rn_cnd_s * MAX( 0.01, phi(ji,jj,jl) ) ) |
---|
[9019] | 1049 | ztsu = ptsu(ji,jj,jl) ! Store current iteration temperature |
---|
| 1050 | ztsu0 = ptsu(ji,jj,jl) ! Store initial surface temperature |
---|
[9910] | 1051 | zqa0 = qsr_ice(ji,jj,jl) - qtr_ice_top(ji,jj,jl) + qns_ice(ji,jj,jl) ! Net initial atmospheric heat flux |
---|
[6727] | 1052 | ! |
---|
[9019] | 1053 | DO iter = 1, nit ! --- Iterative loop |
---|
| 1054 | zqc = zkeff_h * ( ztsu - ptb(ji,jj) ) ! Conduction heat flux through snow-ice system (>0 downwards) |
---|
| 1055 | zqnet = zqa0 + dqns_ice(ji,jj,jl) * ( ztsu - ptsu(ji,jj,jl) ) - zqc ! Surface energy budget |
---|
| 1056 | ztsu = ztsu - zqnet / ( dqns_ice(ji,jj,jl) - zkeff_h ) ! Temperature update |
---|
| 1057 | END DO |
---|
| 1058 | ! |
---|
| 1059 | ptsu (ji,jj,jl) = MIN( rt0, ztsu ) |
---|
| 1060 | qcn_ice(ji,jj,jl) = zkeff_h * ( ptsu(ji,jj,jl) - ptb(ji,jj) ) |
---|
| 1061 | qns_ice(ji,jj,jl) = qns_ice(ji,jj,jl) + dqns_ice(ji,jj,jl) * ( ptsu(ji,jj,jl) - ztsu0 ) |
---|
[9910] | 1062 | 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) ) & |
---|
[9019] | 1063 | & * MAX( 0._wp , SIGN( 1._wp, ptsu(ji,jj,jl) - rt0 ) ) |
---|
[6723] | 1064 | |
---|
[9938] | 1065 | ! --- Diagnose the heat loss due to changing non-solar flux (as in icethd_zdf_bl99) --- ! |
---|
| 1066 | 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) |
---|
| 1067 | |
---|
[9019] | 1068 | END DO |
---|
[6723] | 1069 | END DO |
---|
[9019] | 1070 | ! |
---|
| 1071 | END DO |
---|
| 1072 | ! |
---|
| 1073 | END SUBROUTINE blk_ice_qcn |
---|
| 1074 | |
---|
[6723] | 1075 | |
---|
[7355] | 1076 | SUBROUTINE Cdn10_Lupkes2012( Cd ) |
---|
| 1077 | !!---------------------------------------------------------------------- |
---|
| 1078 | !! *** ROUTINE Cdn10_Lupkes2012 *** |
---|
| 1079 | !! |
---|
[9019] | 1080 | !! ** Purpose : Recompute the neutral air-ice drag referenced at 10m |
---|
| 1081 | !! to make it dependent on edges at leads, melt ponds and flows. |
---|
[7355] | 1082 | !! After some approximations, this can be resumed to a dependency |
---|
| 1083 | !! on ice concentration. |
---|
| 1084 | !! |
---|
| 1085 | !! ** Method : The parameterization is taken from Lupkes et al. (2012) eq.(50) |
---|
| 1086 | !! with the highest level of approximation: level4, eq.(59) |
---|
| 1087 | !! The generic drag over a cell partly covered by ice can be re-written as follows: |
---|
| 1088 | !! |
---|
| 1089 | !! Cd = Cdw * (1-A) + Cdi * A + Ce * (1-A)**(nu+1/(10*beta)) * A**mu |
---|
| 1090 | !! |
---|
| 1091 | !! Ce = 2.23e-3 , as suggested by Lupkes (eq. 59) |
---|
| 1092 | !! nu = mu = beta = 1 , as suggested by Lupkes (eq. 59) |
---|
| 1093 | !! A is the concentration of ice minus melt ponds (if any) |
---|
| 1094 | !! |
---|
| 1095 | !! This new drag has a parabolic shape (as a function of A) starting at |
---|
| 1096 | !! Cdw(say 1.5e-3) for A=0, reaching 1.97e-3 for A~0.5 |
---|
| 1097 | !! and going down to Cdi(say 1.4e-3) for A=1 |
---|
| 1098 | !! |
---|
[7507] | 1099 | !! It is theoretically applicable to all ice conditions (not only MIZ) |
---|
[7355] | 1100 | !! => see Lupkes et al (2013) |
---|
| 1101 | !! |
---|
| 1102 | !! ** References : Lupkes et al. JGR 2012 (theory) |
---|
| 1103 | !! Lupkes et al. GRL 2013 (application to GCM) |
---|
| 1104 | !! |
---|
| 1105 | !!---------------------------------------------------------------------- |
---|
| 1106 | REAL(wp), DIMENSION(:,:), INTENT(inout) :: Cd |
---|
| 1107 | REAL(wp), PARAMETER :: zCe = 2.23e-03_wp |
---|
| 1108 | REAL(wp), PARAMETER :: znu = 1._wp |
---|
| 1109 | REAL(wp), PARAMETER :: zmu = 1._wp |
---|
| 1110 | REAL(wp), PARAMETER :: zbeta = 1._wp |
---|
| 1111 | REAL(wp) :: zcoef |
---|
| 1112 | !!---------------------------------------------------------------------- |
---|
| 1113 | zcoef = znu + 1._wp / ( 10._wp * zbeta ) |
---|
| 1114 | |
---|
| 1115 | ! generic drag over a cell partly covered by ice |
---|
[7507] | 1116 | !!Cd(:,:) = Cd_oce(:,:) * ( 1._wp - at_i_b(:,:) ) + & ! pure ocean drag |
---|
| 1117 | !! & Cd_ice * at_i_b(:,:) + & ! pure ice drag |
---|
| 1118 | !! & zCe * ( 1._wp - at_i_b(:,:) )**zcoef * at_i_b(:,:)**zmu ! change due to sea-ice morphology |
---|
[7355] | 1119 | |
---|
| 1120 | ! ice-atm drag |
---|
[7507] | 1121 | Cd(:,:) = Cd_ice + & ! pure ice drag |
---|
| 1122 | & zCe * ( 1._wp - at_i_b(:,:) )**zcoef * at_i_b(:,:)**(zmu-1._wp) ! change due to sea-ice morphology |
---|
[7355] | 1123 | |
---|
| 1124 | END SUBROUTINE Cdn10_Lupkes2012 |
---|
[9019] | 1125 | |
---|
| 1126 | |
---|
| 1127 | SUBROUTINE Cdn10_Lupkes2015( Cd, Ch ) |
---|
| 1128 | !!---------------------------------------------------------------------- |
---|
| 1129 | !! *** ROUTINE Cdn10_Lupkes2015 *** |
---|
| 1130 | !! |
---|
| 1131 | !! ** pUrpose : Alternative turbulent transfert coefficients formulation |
---|
| 1132 | !! between sea-ice and atmosphere with distinct momentum |
---|
| 1133 | !! and heat coefficients depending on sea-ice concentration |
---|
| 1134 | !! and atmospheric stability (no meltponds effect for now). |
---|
| 1135 | !! |
---|
| 1136 | !! ** Method : The parameterization is adapted from Lupkes et al. (2015) |
---|
| 1137 | !! and ECHAM6 atmospheric model. Compared to Lupkes2012 scheme, |
---|
| 1138 | !! it considers specific skin and form drags (Andreas et al. 2010) |
---|
| 1139 | !! to compute neutral transfert coefficients for both heat and |
---|
| 1140 | !! momemtum fluxes. Atmospheric stability effect on transfert |
---|
| 1141 | !! coefficient is also taken into account following Louis (1979). |
---|
| 1142 | !! |
---|
| 1143 | !! ** References : Lupkes et al. JGR 2015 (theory) |
---|
| 1144 | !! Lupkes et al. ECHAM6 documentation 2015 (implementation) |
---|
| 1145 | !! |
---|
| 1146 | !!---------------------------------------------------------------------- |
---|
| 1147 | ! |
---|
| 1148 | REAL(wp), DIMENSION(:,:), INTENT(inout) :: Cd |
---|
| 1149 | REAL(wp), DIMENSION(:,:), INTENT(inout) :: Ch |
---|
[10511] | 1150 | REAL(wp), DIMENSION(jpi,jpj) :: ztm_su, zst, zqo_sat, zqi_sat |
---|
[9019] | 1151 | ! |
---|
| 1152 | ! ECHAM6 constants |
---|
| 1153 | REAL(wp), PARAMETER :: z0_skin_ice = 0.69e-3_wp ! Eq. 43 [m] |
---|
| 1154 | REAL(wp), PARAMETER :: z0_form_ice = 0.57e-3_wp ! Eq. 42 [m] |
---|
| 1155 | REAL(wp), PARAMETER :: z0_ice = 1.00e-3_wp ! Eq. 15 [m] |
---|
| 1156 | REAL(wp), PARAMETER :: zce10 = 2.80e-3_wp ! Eq. 41 |
---|
| 1157 | REAL(wp), PARAMETER :: zbeta = 1.1_wp ! Eq. 41 |
---|
| 1158 | REAL(wp), PARAMETER :: zc = 5._wp ! Eq. 13 |
---|
| 1159 | REAL(wp), PARAMETER :: zc2 = zc * zc |
---|
| 1160 | REAL(wp), PARAMETER :: zam = 2. * zc ! Eq. 14 |
---|
| 1161 | REAL(wp), PARAMETER :: zah = 3. * zc ! Eq. 30 |
---|
| 1162 | REAL(wp), PARAMETER :: z1_alpha = 1._wp / 0.2_wp ! Eq. 51 |
---|
| 1163 | REAL(wp), PARAMETER :: z1_alphaf = z1_alpha ! Eq. 56 |
---|
| 1164 | REAL(wp), PARAMETER :: zbetah = 1.e-3_wp ! Eq. 26 |
---|
| 1165 | REAL(wp), PARAMETER :: zgamma = 1.25_wp ! Eq. 26 |
---|
| 1166 | REAL(wp), PARAMETER :: z1_gamma = 1._wp / zgamma |
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| 1167 | REAL(wp), PARAMETER :: r1_3 = 1._wp / 3._wp |
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| 1168 | ! |
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| 1169 | INTEGER :: ji, jj ! dummy loop indices |
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| 1170 | REAL(wp) :: zthetav_os, zthetav_is, zthetav_zu |
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| 1171 | REAL(wp) :: zrib_o, zrib_i |
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| 1172 | REAL(wp) :: zCdn_skin_ice, zCdn_form_ice, zCdn_ice |
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| 1173 | REAL(wp) :: zChn_skin_ice, zChn_form_ice |
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| 1174 | REAL(wp) :: z0w, z0i, zfmi, zfmw, zfhi, zfhw |
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| 1175 | REAL(wp) :: zCdn_form_tmp |
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| 1176 | !!---------------------------------------------------------------------- |
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| 1177 | |
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[10511] | 1178 | ! mean temperature |
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| 1179 | WHERE( at_i_b(:,:) > 1.e-20 ) ; ztm_su(:,:) = SUM( t_su(:,:,:) * a_i_b(:,:,:) , dim=3 ) / at_i_b(:,:) |
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| 1180 | ELSEWHERE ; ztm_su(:,:) = rt0 |
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| 1181 | ENDWHERE |
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| 1182 | |
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[9019] | 1183 | ! Momentum Neutral Transfert Coefficients (should be a constant) |
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| 1184 | zCdn_form_tmp = zce10 * ( LOG( 10._wp / z0_form_ice + 1._wp ) / LOG( rn_zu / z0_form_ice + 1._wp ) )**2 ! Eq. 40 |
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| 1185 | zCdn_skin_ice = ( vkarmn / LOG( rn_zu / z0_skin_ice + 1._wp ) )**2 ! Eq. 7 |
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| 1186 | zCdn_ice = zCdn_skin_ice ! Eq. 7 (cf Lupkes email for details) |
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| 1187 | !zCdn_ice = 1.89e-3 ! old ECHAM5 value (cf Eq. 32) |
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| 1188 | |
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| 1189 | ! Heat Neutral Transfert Coefficients |
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| 1190 | 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) |
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| 1191 | |
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| 1192 | ! Atmospheric and Surface Variables |
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[10511] | 1193 | zst(:,:) = sst_m(:,:) + rt0 ! convert SST from Celcius to Kelvin |
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| 1194 | zqo_sat(:,:) = 0.98_wp * q_sat( zst(:,:) , sf(jp_slp)%fnow(:,:,1) ) ! saturation humidity over ocean [kg/kg] |
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| 1195 | zqi_sat(:,:) = 0.98_wp * q_sat( ztm_su(:,:), sf(jp_slp)%fnow(:,:,1) ) ! saturation humidity over ice [kg/kg] |
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[9019] | 1196 | ! |
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| 1197 | DO jj = 2, jpjm1 ! reduced loop is necessary for reproducibility |
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| 1198 | DO ji = fs_2, fs_jpim1 |
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| 1199 | ! Virtual potential temperature [K] |
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[10511] | 1200 | zthetav_os = zst(ji,jj) * ( 1._wp + rctv0 * zqo_sat(ji,jj) ) ! over ocean |
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| 1201 | zthetav_is = ztm_su(ji,jj) * ( 1._wp + rctv0 * zqi_sat(ji,jj) ) ! ocean ice |
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| 1202 | zthetav_zu = t_zu (ji,jj) * ( 1._wp + rctv0 * q_zu(ji,jj) ) ! at zu |
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[9019] | 1203 | |
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| 1204 | ! Bulk Richardson Number (could use Ri_bulk function from aerobulk instead) |
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| 1205 | zrib_o = grav / zthetav_os * ( zthetav_zu - zthetav_os ) * rn_zu / MAX( 0.5, wndm(ji,jj) )**2 ! over ocean |
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| 1206 | zrib_i = grav / zthetav_is * ( zthetav_zu - zthetav_is ) * rn_zu / MAX( 0.5, wndm_ice(ji,jj) )**2 ! over ice |
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| 1207 | |
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| 1208 | ! Momentum and Heat Neutral Transfert Coefficients |
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| 1209 | zCdn_form_ice = zCdn_form_tmp * at_i_b(ji,jj) * ( 1._wp - at_i_b(ji,jj) )**zbeta ! Eq. 40 |
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| 1210 | zChn_form_ice = zCdn_form_ice / ( 1._wp + ( LOG( z1_alphaf ) / vkarmn ) * SQRT( zCdn_form_ice ) ) ! Eq. 53 |
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| 1211 | |
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| 1212 | ! Momentum and Heat Stability functions (possibility to use psi_m_ecmwf instead) |
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| 1213 | z0w = rn_zu * EXP( -1._wp * vkarmn / SQRT( Cdn_oce(ji,jj) ) ) ! over water |
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| 1214 | z0i = z0_skin_ice ! over ice (cf Lupkes email for details) |
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| 1215 | IF( zrib_o <= 0._wp ) THEN |
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| 1216 | 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 |
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| 1217 | zfhw = ( 1._wp + ( zbetah * ( zthetav_os - zthetav_zu )**r1_3 / ( Chn_oce(ji,jj) * MAX(0.01, wndm(ji,jj)) ) & ! Eq. 26 |
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| 1218 | & )**zgamma )**z1_gamma |
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| 1219 | ELSE |
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| 1220 | zfmw = 1._wp / ( 1._wp + zam * zrib_o / SQRT( 1._wp + zrib_o ) ) ! Eq. 12 |
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| 1221 | zfhw = 1._wp / ( 1._wp + zah * zrib_o / SQRT( 1._wp + zrib_o ) ) ! Eq. 28 |
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| 1222 | ENDIF |
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| 1223 | |
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| 1224 | IF( zrib_i <= 0._wp ) THEN |
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| 1225 | zfmi = 1._wp - zam * zrib_i / (1._wp + 3._wp * zc2 * zCdn_ice * SQRT( -zrib_i * ( rn_zu / z0i + 1._wp))) ! Eq. 9 |
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| 1226 | zfhi = 1._wp - zah * zrib_i / (1._wp + 3._wp * zc2 * zCdn_ice * SQRT( -zrib_i * ( rn_zu / z0i + 1._wp))) ! Eq. 25 |
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| 1227 | ELSE |
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| 1228 | zfmi = 1._wp / ( 1._wp + zam * zrib_i / SQRT( 1._wp + zrib_i ) ) ! Eq. 11 |
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| 1229 | zfhi = 1._wp / ( 1._wp + zah * zrib_i / SQRT( 1._wp + zrib_i ) ) ! Eq. 27 |
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| 1230 | ENDIF |
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| 1231 | |
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| 1232 | ! Momentum Transfert Coefficients (Eq. 38) |
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| 1233 | Cd(ji,jj) = zCdn_skin_ice * zfmi + & |
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| 1234 | & 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) ) |
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| 1235 | |
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| 1236 | ! Heat Transfert Coefficients (Eq. 49) |
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| 1237 | Ch(ji,jj) = zChn_skin_ice * zfhi + & |
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| 1238 | & 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) ) |
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| 1239 | ! |
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| 1240 | END DO |
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| 1241 | END DO |
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[10425] | 1242 | CALL lbc_lnk_multi( 'sbcblk', Cd, 'T', 1., Ch, 'T', 1. ) |
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[9019] | 1243 | ! |
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| 1244 | END SUBROUTINE Cdn10_Lupkes2015 |
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| 1245 | |
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[7355] | 1246 | #endif |
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| 1247 | |
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[6723] | 1248 | !!====================================================================== |
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| 1249 | END MODULE sbcblk |
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