| 1 | MODULE sbcblk_algo_ecmwf |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE sbcblk_algo_ecmwf *** |
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| 4 | !! Computes: |
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| 5 | !! * bulk transfer coefficients C_D, C_E and C_H |
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| 6 | !! * air temp. and spec. hum. adjusted from zt (2m) to zu (10m) if needed |
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| 7 | !! * the effective bulk wind speed at 10m U_blk |
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| 8 | !! => all these are used in bulk formulas in sbcblk.F90 |
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| 9 | !! |
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| 10 | !! Using the bulk formulation/param. of IFS of ECMWF (cycle 40r1) |
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| 11 | !! based on IFS doc (avaible online on the ECMWF's website) |
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| 12 | !! |
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| 13 | !! Routine turb_ecmwf maintained and developed in AeroBulk |
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| 14 | !! (https://github.com/brodeau/aerobulk) |
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| 15 | !! |
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| 16 | !! ** Author: L. Brodeau, June 2019 / AeroBulk (https://github.com/brodeau/aerobulk) |
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| 17 | !!---------------------------------------------------------------------- |
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| 18 | !! History : 4.0 ! 2016-02 (L.Brodeau) Original code |
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| 19 | !! 4.2 ! 2020-12 (G. Madec, E. Clementi) Charnock coeff from wave model |
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| 20 | !!---------------------------------------------------------------------- |
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| 21 | |
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| 22 | !!---------------------------------------------------------------------- |
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| 23 | !! turb_ecmwf : computes the bulk turbulent transfer coefficients |
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| 24 | !! adjusts t_air and q_air from zt to zu m |
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| 25 | !! returns the effective bulk wind speed at 10m |
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| 26 | !!---------------------------------------------------------------------- |
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| 27 | USE oce ! ocean dynamics and tracers |
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| 28 | USE dom_oce ! ocean space and time domain |
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| 29 | USE phycst ! physical constants |
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| 30 | USE iom ! I/O manager library |
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| 31 | USE lib_mpp ! distribued memory computing library |
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| 32 | USE in_out_manager ! I/O manager |
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| 33 | USE prtctl ! Print control |
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| 34 | USE sbcwave, ONLY : charn ! wave module |
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| 35 | #if defined key_si3 || defined key_cice |
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| 36 | USE sbc_ice ! Surface boundary condition: ice fields |
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| 37 | #endif |
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| 38 | USE lib_fortran ! to use key_nosignedzero |
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| 39 | |
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| 40 | USE sbc_oce ! Surface boundary condition: ocean fields |
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| 41 | USE sbcblk_phy ! all thermodynamics functions, rho_air, q_sat, etc... !LB |
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| 42 | USE sbcblk_skin_ecmwf ! cool-skin/warm layer scheme !LB |
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| 43 | |
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| 44 | IMPLICIT NONE |
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| 45 | PRIVATE |
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| 46 | |
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| 47 | PUBLIC :: SBCBLK_ALGO_ECMWF_INIT, TURB_ECMWF |
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| 48 | !! * Substitutions |
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| 49 | # include "do_loop_substitute.h90" |
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| 50 | |
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| 51 | !! ECMWF own values for given constants, taken form IFS documentation... |
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| 52 | REAL(wp), PARAMETER :: charn0 = 0.018 ! Charnock constant (pretty high value here !!! |
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| 53 | ! ! => Usually 0.011 for moderate winds) |
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| 54 | REAL(wp), PARAMETER :: zi0 = 1000. ! scale height of the atmospheric boundary layer...1 |
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| 55 | REAL(wp), PARAMETER :: Beta0 = 1. ! gustiness parameter ( = 1.25 in COAREv3) |
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| 56 | REAL(wp), PARAMETER :: alpha_M = 0.11 ! For roughness length (smooth surface term) |
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| 57 | REAL(wp), PARAMETER :: alpha_H = 0.40 ! (Chapter 3, p.34, IFS doc Cy31r1) |
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| 58 | REAL(wp), PARAMETER :: alpha_Q = 0.62 ! |
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| 59 | |
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| 60 | INTEGER , PARAMETER :: nb_itt = 10 ! number of itterations |
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| 61 | |
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| 62 | !!---------------------------------------------------------------------- |
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| 63 | CONTAINS |
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| 64 | |
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| 65 | |
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| 66 | SUBROUTINE sbcblk_algo_ecmwf_init(l_use_cs, l_use_wl) |
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| 67 | !!--------------------------------------------------------------------- |
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| 68 | !! *** FUNCTION sbcblk_algo_ecmwf_init *** |
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| 69 | !! |
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| 70 | !! INPUT : |
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| 71 | !! ------- |
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| 72 | !! * l_use_cs : use the cool-skin parameterization |
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| 73 | !! * l_use_wl : use the warm-layer parameterization |
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| 74 | !!--------------------------------------------------------------------- |
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| 75 | LOGICAL , INTENT(in) :: l_use_cs ! use the cool-skin parameterization |
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| 76 | LOGICAL , INTENT(in) :: l_use_wl ! use the warm-layer parameterization |
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| 77 | INTEGER :: ierr |
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| 78 | !!--------------------------------------------------------------------- |
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| 79 | IF( l_use_wl ) THEN |
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| 80 | ierr = 0 |
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| 81 | ALLOCATE ( dT_wl(jpi,jpj), Hz_wl(jpi,jpj), STAT=ierr ) |
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| 82 | IF( ierr > 0 ) CALL ctl_stop( ' SBCBLK_ALGO_ECMWF_INIT => allocation of dT_wl & Hz_wl failed!' ) |
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| 83 | dT_wl(:,:) = 0._wp |
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| 84 | Hz_wl(:,:) = rd0 ! (rd0, constant, = 3m is default for Zeng & Beljaars) |
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| 85 | ENDIF |
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| 86 | IF( l_use_cs ) THEN |
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| 87 | ierr = 0 |
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| 88 | ALLOCATE ( dT_cs(jpi,jpj), STAT=ierr ) |
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| 89 | IF( ierr > 0 ) CALL ctl_stop( ' SBCBLK_ALGO_ECMWF_INIT => allocation of dT_cs failed!' ) |
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| 90 | dT_cs(:,:) = -0.25_wp ! First guess of skin correction |
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| 91 | ENDIF |
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| 92 | END SUBROUTINE sbcblk_algo_ecmwf_init |
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| 93 | |
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| 94 | |
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| 95 | |
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| 96 | SUBROUTINE turb_ecmwf( kt, zt, zu, T_s, t_zt, q_s, q_zt, U_zu, l_use_cs, l_use_wl, & |
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| 97 | & Cd, Ch, Ce, t_zu, q_zu, U_blk, & |
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| 98 | & Cdn, Chn, Cen, & |
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| 99 | & Qsw, rad_lw, slp, pdT_cs, & ! optionals for cool-skin (and warm-layer) |
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| 100 | & pdT_wl, pHz_wl ) ! optionals for warm-layer only |
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| 101 | !!---------------------------------------------------------------------------------- |
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| 102 | !! *** ROUTINE turb_ecmwf *** |
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| 103 | !! |
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| 104 | !! ** Purpose : Computes turbulent transfert coefficients of surface |
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| 105 | !! fluxes according to IFS doc. (cycle 45r1) |
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| 106 | !! If relevant (zt /= zu), adjust temperature and humidity from height zt to zu |
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| 107 | !! Returns the effective bulk wind speed at zu to be used in the bulk formulas |
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| 108 | !! |
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| 109 | !! Applies the cool-skin warm-layer correction of the SST to T_s |
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| 110 | !! if the net shortwave flux at the surface (Qsw), the downwelling longwave |
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| 111 | !! radiative fluxes at the surface (rad_lw), and the sea-leve pressure (slp) |
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| 112 | !! are provided as (optional) arguments! |
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| 113 | !! |
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| 114 | !! INPUT : |
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| 115 | !! ------- |
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| 116 | !! * kt : current time step (starts at 1) |
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| 117 | !! * zt : height for temperature and spec. hum. of air [m] |
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| 118 | !! * zu : height for wind speed (usually 10m) [m] |
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| 119 | !! * t_zt : potential air temperature at zt [K] |
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| 120 | !! * q_zt : specific humidity of air at zt [kg/kg] |
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| 121 | !! * U_zu : scalar wind speed at zu [m/s] |
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| 122 | !! * l_use_cs : use the cool-skin parameterization |
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| 123 | !! * l_use_wl : use the warm-layer parameterization |
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| 124 | !! |
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| 125 | !! INPUT/OUTPUT: |
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| 126 | !! ------------- |
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| 127 | !! * T_s : always "bulk SST" as input [K] |
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| 128 | !! -> unchanged "bulk SST" as output if CSWL not used [K] |
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| 129 | !! -> skin temperature as output if CSWL used [K] |
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| 130 | !! |
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| 131 | !! * q_s : SSQ aka saturation specific humidity at temp. T_s [kg/kg] |
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| 132 | !! -> doesn't need to be given a value if skin temp computed (in case l_use_cs=True or l_use_wl=True) |
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| 133 | !! -> MUST be given the correct value if not computing skint temp. (in case l_use_cs=False or l_use_wl=False) |
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| 134 | !! |
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| 135 | !! OPTIONAL INPUT: |
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| 136 | !! --------------- |
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| 137 | !! * Qsw : net solar flux (after albedo) at the surface (>0) [W/m^2] |
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| 138 | !! * rad_lw : downwelling longwave radiation at the surface (>0) [W/m^2] |
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| 139 | !! * slp : sea-level pressure [Pa] |
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| 140 | !! |
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| 141 | !! OPTIONAL OUTPUT: |
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| 142 | !! ---------------- |
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| 143 | !! * pdT_cs : SST increment "dT" for cool-skin correction [K] |
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| 144 | !! * pdT_wl : SST increment "dT" for warm-layer correction [K] |
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| 145 | !! * pHz_wl : thickness of warm-layer [m] |
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| 146 | !! |
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| 147 | !! OUTPUT : |
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| 148 | !! -------- |
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| 149 | !! * Cd : drag coefficient |
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| 150 | !! * Ch : sensible heat coefficient |
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| 151 | !! * Ce : evaporation coefficient |
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| 152 | !! * t_zu : pot. air temperature adjusted at wind height zu [K] |
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| 153 | !! * q_zu : specific humidity of air // [kg/kg] |
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| 154 | !! * U_blk : bulk wind speed at zu [m/s] |
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| 155 | !! |
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| 156 | !! |
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| 157 | !! ** Author: L. Brodeau, June 2019 / AeroBulk (https://github.com/brodeau/aerobulk/) |
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| 158 | !!---------------------------------------------------------------------------------- |
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| 159 | INTEGER, INTENT(in ) :: kt ! current time step |
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| 160 | REAL(wp), INTENT(in ) :: zt ! height for t_zt and q_zt [m] |
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| 161 | REAL(wp), INTENT(in ) :: zu ! height for U_zu [m] |
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| 162 | REAL(wp), INTENT(inout), DIMENSION(jpi,jpj) :: T_s ! sea surface temperature [Kelvin] |
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| 163 | REAL(wp), INTENT(in ), DIMENSION(jpi,jpj) :: t_zt ! potential air temperature [Kelvin] |
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| 164 | REAL(wp), INTENT(inout), DIMENSION(jpi,jpj) :: q_s ! sea surface specific humidity [kg/kg] |
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| 165 | REAL(wp), INTENT(in ), DIMENSION(jpi,jpj) :: q_zt ! specific air humidity at zt [kg/kg] |
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| 166 | REAL(wp), INTENT(in ), DIMENSION(jpi,jpj) :: U_zu ! relative wind module at zu [m/s] |
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| 167 | LOGICAL , INTENT(in ) :: l_use_cs ! use the cool-skin parameterization |
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| 168 | LOGICAL , INTENT(in ) :: l_use_wl ! use the warm-layer parameterization |
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| 169 | REAL(wp), INTENT( out), DIMENSION(jpi,jpj) :: Cd ! transfer coefficient for momentum (tau) |
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| 170 | REAL(wp), INTENT( out), DIMENSION(jpi,jpj) :: Ch ! transfer coefficient for sensible heat (Q_sens) |
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| 171 | REAL(wp), INTENT( out), DIMENSION(jpi,jpj) :: Ce ! transfert coefficient for evaporation (Q_lat) |
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| 172 | REAL(wp), INTENT( out), DIMENSION(jpi,jpj) :: t_zu ! pot. air temp. adjusted at zu [K] |
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| 173 | REAL(wp), INTENT( out), DIMENSION(jpi,jpj) :: q_zu ! spec. humidity adjusted at zu [kg/kg] |
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| 174 | REAL(wp), INTENT( out), DIMENSION(jpi,jpj) :: U_blk ! bulk wind speed at zu [m/s] |
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| 175 | REAL(wp), INTENT( out), DIMENSION(jpi,jpj) :: Cdn, Chn, Cen ! neutral transfer coefficients |
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| 176 | ! |
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| 177 | REAL(wp), INTENT(in ), OPTIONAL, DIMENSION(jpi,jpj) :: Qsw ! [W/m^2] |
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| 178 | REAL(wp), INTENT(in ), OPTIONAL, DIMENSION(jpi,jpj) :: rad_lw ! [W/m^2] |
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| 179 | REAL(wp), INTENT(in ), OPTIONAL, DIMENSION(jpi,jpj) :: slp ! [Pa] |
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| 180 | REAL(wp), INTENT( out), OPTIONAL, DIMENSION(jpi,jpj) :: pdT_cs |
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| 181 | REAL(wp), INTENT( out), OPTIONAL, DIMENSION(jpi,jpj) :: pdT_wl ! [K] |
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| 182 | REAL(wp), INTENT( out), OPTIONAL, DIMENSION(jpi,jpj) :: pHz_wl ! [m] |
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| 183 | ! |
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| 184 | INTEGER :: j_itt |
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| 185 | LOGICAL :: l_zt_equal_zu = .FALSE. ! if q and t are given at same height as U |
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| 186 | ! |
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| 187 | REAL(wp), DIMENSION(jpi,jpj) :: u_star, t_star, q_star |
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| 188 | REAL(wp), DIMENSION(jpi,jpj) :: dt_zu, dq_zu |
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| 189 | REAL(wp), DIMENSION(jpi,jpj) :: znu_a !: Nu_air, Viscosity of air |
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| 190 | REAL(wp), DIMENSION(jpi,jpj) :: Linv !: 1/L (inverse of Monin Obukhov length... |
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| 191 | REAL(wp), DIMENSION(jpi,jpj) :: z0, z0t, z0q |
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| 192 | ! |
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| 193 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: zsst ! to back up the initial bulk SST |
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| 194 | ! |
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| 195 | REAL(wp), DIMENSION(jpi,jpj) :: func_m, func_h |
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| 196 | REAL(wp), DIMENSION(jpi,jpj) :: ztmp0, ztmp1, ztmp2 |
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| 197 | CHARACTER(len=40), PARAMETER :: crtnm = 'turb_ecmwf@sbcblk_algo_ecmwf.F90' |
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| 198 | !!---------------------------------------------------------------------------------- |
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| 199 | IF( kt == nit000 ) CALL SBCBLK_ALGO_ECMWF_INIT(l_use_cs, l_use_wl) |
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| 200 | |
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| 201 | l_zt_equal_zu = ( ABS(zu - zt) < 0.01_wp ) ! testing "zu == zt" is risky with double precision |
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| 202 | |
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| 203 | !! Initializations for cool skin and warm layer: |
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| 204 | IF( l_use_cs .AND. (.NOT.(PRESENT(Qsw) .AND. PRESENT(rad_lw) .AND. PRESENT(slp))) ) & |
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| 205 | & CALL ctl_stop( '['//TRIM(crtnm)//'] => ' , 'you need to provide Qsw, rad_lw & slp to use cool-skin param!' ) |
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| 206 | |
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| 207 | IF( l_use_wl .AND. (.NOT.(PRESENT(Qsw) .AND. PRESENT(rad_lw) .AND. PRESENT(slp))) ) & |
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| 208 | & CALL ctl_stop( '['//TRIM(crtnm)//'] => ' , 'you need to provide Qsw, rad_lw & slp to use warm-layer param!' ) |
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| 209 | |
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| 210 | IF( l_use_cs .OR. l_use_wl ) THEN |
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| 211 | ALLOCATE ( zsst(jpi,jpj) ) |
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| 212 | zsst = T_s ! backing up the bulk SST |
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| 213 | IF( l_use_cs ) T_s = T_s - 0.25_wp ! First guess of correction |
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| 214 | q_s = rdct_qsat_salt*q_sat(MAX(T_s, 200._wp), slp) ! First guess of q_s |
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| 215 | ENDIF |
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| 216 | |
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| 217 | |
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| 218 | ! Identical first gess as in COARE, with IFS parameter values though... |
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| 219 | ! |
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| 220 | !! First guess of temperature and humidity at height zu: |
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| 221 | t_zu = MAX( t_zt , 180._wp ) ! who knows what's given on masked-continental regions... |
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| 222 | q_zu = MAX( q_zt , 1.e-6_wp ) ! " |
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| 223 | |
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| 224 | !! Pot. temp. difference (and we don't want it to be 0!) |
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| 225 | dt_zu = t_zu - T_s ; dt_zu = SIGN( MAX(ABS(dt_zu),1.E-6_wp), dt_zu ) |
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| 226 | dq_zu = q_zu - q_s ; dq_zu = SIGN( MAX(ABS(dq_zu),1.E-9_wp), dq_zu ) |
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| 227 | |
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| 228 | znu_a = visc_air(t_zu) ! Air viscosity (m^2/s) at zt given from temperature in (K) |
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| 229 | |
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| 230 | U_blk = SQRT(U_zu*U_zu + 0.5_wp*0.5_wp) ! initial guess for wind gustiness contribution |
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| 231 | |
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| 232 | ztmp0 = LOG( zu*10000._wp) ! optimization: 10000. == 1/z0 (with z0 first guess == 0.0001) |
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| 233 | ztmp1 = LOG(10._wp*10000._wp) ! " " " |
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| 234 | u_star = 0.035_wp*U_blk*ztmp1/ztmp0 ! (u* = 0.035*Un10) |
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| 235 | |
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| 236 | IF (ln_charn) THEN ! Charnock value if wave coupling |
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| 237 | z0 = charn*u_star*u_star/grav + 0.11_wp*znu_a/u_star |
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| 238 | ELSE |
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| 239 | z0 = charn0*u_star*u_star/grav + 0.11_wp*znu_a/u_star |
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| 240 | ENDIF |
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| 241 | |
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| 242 | z0 = MIN( MAX(ABS(z0), 1.E-9) , 1._wp ) ! (prevents FPE from stupid values from masked region later on) |
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| 243 | |
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| 244 | z0t = 1._wp / ( 0.1_wp*EXP(vkarmn/(0.00115/(vkarmn/ztmp1))) ) |
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| 245 | z0t = MIN( MAX(ABS(z0t), 1.E-9) , 1._wp ) ! (prevents FPE from stupid values from masked region later on) |
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| 246 | |
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| 247 | Cd = (vkarmn/ztmp0)**2 ! first guess of Cd |
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| 248 | |
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| 249 | ztmp0 = vkarmn*vkarmn/LOG(zt/z0t)/Cd |
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| 250 | |
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| 251 | ztmp2 = Ri_bulk( zu, T_s, t_zu, q_s, q_zu, U_blk ) ! Bulk Richardson Number (BRN) |
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| 252 | |
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| 253 | !! First estimate of zeta_u, depending on the stability, ie sign of BRN (ztmp2): |
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| 254 | ztmp1 = 0.5 + SIGN( 0.5_wp , ztmp2 ) |
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| 255 | func_m = ztmp0*ztmp2 ! temporary array !! |
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| 256 | func_h = (1._wp-ztmp1) * (func_m/(1._wp+ztmp2/(-zu/(zi0*0.004_wp*Beta0**3)))) & ! BRN < 0 ! temporary array !!! func_h == zeta_u |
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| 257 | & + ztmp1 * (func_m*(1._wp + 27._wp/9._wp*ztmp2/func_m)) ! BRN > 0 |
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| 258 | !#LB: should make sure that the "func_m" of "27./9.*ztmp2/func_m" is "ztmp0*ztmp2" and not "ztmp0==vkarmn*vkarmn/LOG(zt/z0t)/Cd" ! |
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| 259 | |
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| 260 | !! First guess M-O stability dependent scaling params.(u*,t*,q*) to estimate z0 and z/L |
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| 261 | ztmp0 = vkarmn/(LOG(zu/z0t) - psi_h_ecmwf(func_h)) |
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| 262 | |
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| 263 | u_star = MAX ( U_blk*vkarmn/(LOG(zu) - LOG(z0) - psi_m_ecmwf(func_h)) , 1.E-9 ) ! (MAX => prevents FPE from stupid values from masked region later on) |
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| 264 | t_star = dt_zu*ztmp0 |
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| 265 | q_star = dq_zu*ztmp0 |
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| 266 | |
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| 267 | ! What needs to be done if zt /= zu: |
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| 268 | IF( .NOT. l_zt_equal_zu ) THEN |
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| 269 | !! First update of values at zu (or zt for wind) |
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| 270 | ztmp0 = psi_h_ecmwf(func_h) - psi_h_ecmwf(zt*func_h/zu) ! zt*func_h/zu == zeta_t |
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| 271 | ztmp1 = LOG(zt/zu) + ztmp0 |
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| 272 | t_zu = t_zt - t_star/vkarmn*ztmp1 |
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| 273 | q_zu = q_zt - q_star/vkarmn*ztmp1 |
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| 274 | q_zu = (0.5_wp + SIGN(0.5_wp,q_zu))*q_zu !Makes it impossible to have negative humidity : |
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| 275 | ! |
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| 276 | dt_zu = t_zu - T_s ; dt_zu = SIGN( MAX(ABS(dt_zu),1.E-6_wp), dt_zu ) |
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| 277 | dq_zu = q_zu - q_s ; dq_zu = SIGN( MAX(ABS(dq_zu),1.E-9_wp), dq_zu ) |
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| 278 | ENDIF |
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| 279 | |
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| 280 | |
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| 281 | !! => that was same first guess as in COARE... |
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| 282 | |
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| 283 | |
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| 284 | !! First guess of inverse of Monin-Obukov length (1/L) : |
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| 285 | Linv = One_on_L( t_zu, q_zu, u_star, t_star, q_star ) |
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| 286 | |
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| 287 | !! Functions such as u* = U_blk*vkarmn/func_m |
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| 288 | ztmp0 = zu*Linv |
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| 289 | func_m = LOG(zu) - LOG(z0) - psi_m_ecmwf(ztmp0) + psi_m_ecmwf( z0*Linv) |
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| 290 | func_h = LOG(zu) - LOG(z0t) - psi_h_ecmwf(ztmp0) + psi_h_ecmwf(z0t*Linv) |
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| 291 | |
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| 292 | !! ITERATION BLOCK |
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| 293 | DO j_itt = 1, nb_itt |
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| 294 | |
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| 295 | !! Bulk Richardson Number at z=zu (Eq. 3.25) |
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| 296 | ztmp0 = Ri_bulk( zu, T_s, t_zu, q_s, q_zu, U_blk ) ! Bulk Richardson Number (BRN) |
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| 297 | |
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| 298 | !! New estimate of the inverse of the Monin-Obukhon length (Linv == zeta/zu) : |
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| 299 | Linv = ztmp0*func_m*func_m/func_h / zu ! From Eq. 3.23, Chap.3.2.3, IFS doc - Cy40r1 |
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| 300 | !! Note: it is slightly different that the L we would get with the usual |
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| 301 | Linv = SIGN( MIN(ABS(Linv),200._wp), Linv ) ! (prevent FPE from stupid values from masked region later on...) |
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| 302 | |
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| 303 | !! Update func_m with new Linv: |
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| 304 | func_m = LOG(zu) -LOG(z0) - psi_m_ecmwf(zu*Linv) + psi_m_ecmwf(z0*Linv) ! LB: should be "zu+z0" rather than "zu" alone, but z0 is tiny wrt zu! |
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| 305 | |
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| 306 | !! Need to update roughness lengthes: |
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| 307 | u_star = U_blk*vkarmn/func_m |
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| 308 | ztmp2 = u_star*u_star |
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| 309 | ztmp1 = znu_a/u_star |
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| 310 | IF (ln_charn) THEN ! Charnock value if wave coupling |
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| 311 | z0 = MIN( ABS( alpha_M*ztmp1 + charn*ztmp2/grav ) , 0.001_wp) |
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| 312 | ELSE |
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| 313 | z0 = MIN( ABS( alpha_M*ztmp1 + charn0*ztmp2/grav ) , 0.001_wp) |
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| 314 | ENDIF |
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| 315 | z0t = MIN( ABS( alpha_H*ztmp1 ) , 0.001_wp) ! eq.3.26, Chap.3, p.34, IFS doc - Cy31r1 |
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| 316 | z0q = MIN( ABS( alpha_Q*ztmp1 ) , 0.001_wp) |
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| 317 | |
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| 318 | !! Update wind at zu with convection-related wind gustiness in unstable conditions (Chap. 3.2, IFS doc - Cy40r1, Eq.3.17 and Eq.3.18 + Eq.3.8) |
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| 319 | ztmp2 = Beta0*Beta0*ztmp2*(MAX(-zi0*Linv/vkarmn,0._wp))**(2._wp/3._wp) ! square of wind gustiness contribution (combining Eq. 3.8 and 3.18, hap.3, IFS doc - Cy31r1) |
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| 320 | !! ! Only true when unstable (L<0) => when ztmp0 < 0 => explains "-" before zi0 |
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| 321 | U_blk = MAX(SQRT(U_zu*U_zu + ztmp2), 0.2_wp) ! include gustiness in bulk wind speed |
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| 322 | ! => 0.2 prevents U_blk to be 0 in stable case when U_zu=0. |
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| 323 | |
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| 324 | |
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| 325 | !! Need to update "theta" and "q" at zu in case they are given at different heights |
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| 326 | !! as well the air-sea differences: |
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| 327 | IF( .NOT. l_zt_equal_zu ) THEN |
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| 328 | !! Arrays func_m and func_h are free for a while so using them as temporary arrays... |
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| 329 | func_h = psi_h_ecmwf(zu*Linv) ! temporary array !!! |
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| 330 | func_m = psi_h_ecmwf(zt*Linv) ! temporary array !!! |
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| 331 | |
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| 332 | ztmp2 = psi_h_ecmwf(z0t*Linv) |
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| 333 | ztmp0 = func_h - ztmp2 |
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| 334 | ztmp1 = vkarmn/(LOG(zu) - LOG(z0t) - ztmp0) |
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| 335 | t_star = dt_zu*ztmp1 |
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| 336 | ztmp2 = ztmp0 - func_m + ztmp2 |
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| 337 | ztmp1 = LOG(zt/zu) + ztmp2 |
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| 338 | t_zu = t_zt - t_star/vkarmn*ztmp1 |
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| 339 | |
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| 340 | ztmp2 = psi_h_ecmwf(z0q*Linv) |
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| 341 | ztmp0 = func_h - ztmp2 |
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| 342 | ztmp1 = vkarmn/(LOG(zu) - LOG(z0q) - ztmp0) |
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| 343 | q_star = dq_zu*ztmp1 |
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| 344 | ztmp2 = ztmp0 - func_m + ztmp2 |
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| 345 | ztmp1 = LOG(zt/zu) + ztmp2 |
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| 346 | q_zu = q_zt - q_star/vkarmn*ztmp1 |
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| 347 | ENDIF |
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| 348 | |
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| 349 | !! Updating because of updated z0 and z0t and new Linv... |
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| 350 | ztmp0 = zu*Linv |
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| 351 | func_m = log(zu) - LOG(z0 ) - psi_m_ecmwf(ztmp0) + psi_m_ecmwf(z0 *Linv) |
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| 352 | func_h = log(zu) - LOG(z0t) - psi_h_ecmwf(ztmp0) + psi_h_ecmwf(z0t*Linv) |
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| 353 | |
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| 354 | |
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| 355 | IF( l_use_cs ) THEN |
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| 356 | !! Cool-skin contribution |
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| 357 | |
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| 358 | CALL UPDATE_QNSOL_TAU( zu, T_s, q_s, t_zu, q_zu, u_star, t_star, q_star, U_zu, U_blk, slp, rad_lw, & |
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| 359 | & ztmp1, ztmp0, Qlat=ztmp2) ! Qnsol -> ztmp1 / Tau -> ztmp0 |
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| 360 | |
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| 361 | CALL CS_ECMWF( Qsw, ztmp1, u_star, zsst ) ! Qnsol -> ztmp1 |
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| 362 | |
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| 363 | T_s(:,:) = zsst(:,:) + dT_cs(:,:)*tmask(:,:,1) |
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| 364 | IF( l_use_wl ) T_s(:,:) = T_s(:,:) + dT_wl(:,:)*tmask(:,:,1) |
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| 365 | q_s(:,:) = rdct_qsat_salt*q_sat(MAX(T_s(:,:), 200._wp), slp(:,:)) |
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| 366 | |
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| 367 | ENDIF |
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| 368 | |
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| 369 | IF( l_use_wl ) THEN |
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| 370 | !! Warm-layer contribution |
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| 371 | CALL UPDATE_QNSOL_TAU( zu, T_s, q_s, t_zu, q_zu, u_star, t_star, q_star, U_zu, U_blk, slp, rad_lw, & |
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| 372 | & ztmp1, ztmp2) ! Qnsol -> ztmp1 / Tau -> ztmp2 |
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| 373 | CALL WL_ECMWF( Qsw, ztmp1, u_star, zsst ) |
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| 374 | !! Updating T_s and q_s !!! |
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| 375 | T_s(:,:) = zsst(:,:) + dT_wl(:,:)*tmask(:,:,1) ! |
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| 376 | IF( l_use_cs ) T_s(:,:) = T_s(:,:) + dT_cs(:,:)*tmask(:,:,1) |
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| 377 | q_s(:,:) = rdct_qsat_salt*q_sat(MAX(T_s(:,:), 200._wp), slp(:,:)) |
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| 378 | ENDIF |
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| 379 | |
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| 380 | IF( l_use_cs .OR. l_use_wl .OR. (.NOT. l_zt_equal_zu) ) THEN |
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| 381 | dt_zu = t_zu - T_s ; dt_zu = SIGN( MAX(ABS(dt_zu),1.E-6_wp), dt_zu ) |
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| 382 | dq_zu = q_zu - q_s ; dq_zu = SIGN( MAX(ABS(dq_zu),1.E-9_wp), dq_zu ) |
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| 383 | ENDIF |
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| 384 | |
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| 385 | END DO !DO j_itt = 1, nb_itt |
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| 386 | |
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| 387 | Cd = vkarmn*vkarmn/(func_m*func_m) |
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| 388 | Ch = vkarmn*vkarmn/(func_m*func_h) |
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| 389 | ztmp2 = log(zu/z0q) - psi_h_ecmwf(zu*Linv) + psi_h_ecmwf(z0q*Linv) ! func_q |
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| 390 | Ce = vkarmn*vkarmn/(func_m*ztmp2) |
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| 391 | |
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| 392 | Cdn = vkarmn*vkarmn / (log(zu/z0 )*log(zu/z0 )) |
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| 393 | Chn = vkarmn*vkarmn / (log(zu/z0t)*log(zu/z0t)) |
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| 394 | Cen = vkarmn*vkarmn / (log(zu/z0q)*log(zu/z0q)) |
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| 395 | |
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| 396 | IF( l_use_cs .AND. PRESENT(pdT_cs) ) pdT_cs = dT_cs |
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| 397 | IF( l_use_wl .AND. PRESENT(pdT_wl) ) pdT_wl = dT_wl |
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| 398 | IF( l_use_wl .AND. PRESENT(pHz_wl) ) pHz_wl = Hz_wl |
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| 399 | |
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| 400 | IF( l_use_cs .OR. l_use_wl ) DEALLOCATE ( zsst ) |
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| 401 | |
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| 402 | END SUBROUTINE turb_ecmwf |
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| 403 | |
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| 404 | |
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| 405 | FUNCTION psi_m_ecmwf( pzeta ) |
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| 406 | !!---------------------------------------------------------------------------------- |
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| 407 | !! Universal profile stability function for momentum |
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| 408 | !! ECMWF / as in IFS cy31r1 documentation, available online |
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| 409 | !! at ecmwf.int |
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| 410 | !! |
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| 411 | !! pzeta : stability paramenter, z/L where z is altitude measurement |
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| 412 | !! and L is M-O length |
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| 413 | !! |
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| 414 | !! ** Author: L. Brodeau, June 2016 / AeroBulk (https://github.com/brodeau/aerobulk/) |
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| 415 | !!---------------------------------------------------------------------------------- |
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| 416 | REAL(wp), DIMENSION(jpi,jpj) :: psi_m_ecmwf |
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| 417 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: pzeta |
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| 418 | ! |
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| 419 | INTEGER :: ji, jj ! dummy loop indices |
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| 420 | REAL(wp) :: zzeta, zx, ztmp, psi_unst, psi_stab, stab |
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| 421 | !!---------------------------------------------------------------------------------- |
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| 422 | DO_2D( nn_hls, nn_hls, nn_hls, nn_hls ) |
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| 423 | ! |
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| 424 | zzeta = MIN( pzeta(ji,jj) , 5._wp ) !! Very stable conditions (L positif and big!): |
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| 425 | ! |
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| 426 | ! Unstable (Paulson 1970): |
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| 427 | ! eq.3.20, Chap.3, p.33, IFS doc - Cy31r1 |
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| 428 | zx = SQRT(ABS(1._wp - 16._wp*zzeta)) |
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| 429 | ztmp = 1._wp + SQRT(zx) |
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| 430 | ztmp = ztmp*ztmp |
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| 431 | psi_unst = LOG( 0.125_wp*ztmp*(1._wp + zx) ) & |
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| 432 | & -2._wp*ATAN( SQRT(zx) ) + 0.5_wp*rpi |
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| 433 | ! |
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| 434 | ! Unstable: |
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| 435 | ! eq.3.22, Chap.3, p.33, IFS doc - Cy31r1 |
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| 436 | psi_stab = -2._wp/3._wp*(zzeta - 5._wp/0.35_wp)*EXP(-0.35_wp*zzeta) & |
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| 437 | & - zzeta - 2._wp/3._wp*5._wp/0.35_wp |
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| 438 | ! |
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| 439 | ! Combining: |
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| 440 | stab = 0.5_wp + SIGN(0.5_wp, zzeta) ! zzeta > 0 => stab = 1 |
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| 441 | ! |
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| 442 | psi_m_ecmwf(ji,jj) = (1._wp - stab) * psi_unst & ! (zzeta < 0) Unstable |
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| 443 | & + stab * psi_stab ! (zzeta > 0) Stable |
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| 444 | ! |
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| 445 | END_2D |
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| 446 | END FUNCTION psi_m_ecmwf |
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| 447 | |
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| 448 | |
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| 449 | FUNCTION psi_h_ecmwf( pzeta ) |
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| 450 | !!---------------------------------------------------------------------------------- |
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| 451 | !! Universal profile stability function for temperature and humidity |
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| 452 | !! ECMWF / as in IFS cy31r1 documentation, available online |
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| 453 | !! at ecmwf.int |
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| 454 | !! |
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| 455 | !! pzeta : stability paramenter, z/L where z is altitude measurement |
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| 456 | !! and L is M-O length |
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| 457 | !! |
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| 458 | !! ** Author: L. Brodeau, June 2016 / AeroBulk (https://github.com/brodeau/aerobulk/) |
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| 459 | !!---------------------------------------------------------------------------------- |
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| 460 | REAL(wp), DIMENSION(jpi,jpj) :: psi_h_ecmwf |
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| 461 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: pzeta |
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| 462 | ! |
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| 463 | INTEGER :: ji, jj ! dummy loop indices |
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| 464 | REAL(wp) :: zzeta, zx, psi_unst, psi_stab, stab |
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| 465 | !!---------------------------------------------------------------------------------- |
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| 466 | ! |
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| 467 | DO_2D( nn_hls, nn_hls, nn_hls, nn_hls ) |
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| 468 | ! |
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| 469 | zzeta = MIN(pzeta(ji,jj) , 5._wp) ! Very stable conditions (L positif and big!): |
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| 470 | ! |
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| 471 | zx = ABS(1._wp - 16._wp*zzeta)**.25 ! this is actually (1/phi_m)**2 !!! |
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| 472 | ! ! eq.3.19, Chap.3, p.33, IFS doc - Cy31r1 |
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| 473 | ! Unstable (Paulson 1970) : |
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| 474 | psi_unst = 2._wp*LOG(0.5_wp*(1._wp + zx*zx)) ! eq.3.20, Chap.3, p.33, IFS doc - Cy31r1 |
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| 475 | ! |
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| 476 | ! Stable: |
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| 477 | psi_stab = -2._wp/3._wp*(zzeta - 5._wp/0.35_wp)*EXP(-0.35_wp*zzeta) & ! eq.3.22, Chap.3, p.33, IFS doc - Cy31r1 |
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| 478 | & - ABS(1._wp + 2._wp/3._wp*zzeta)**1.5_wp - 2._wp/3._wp*5._wp/0.35_wp + 1._wp |
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| 479 | ! LB: added ABS() to avoid NaN values when unstable, which contaminates the unstable solution... |
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| 480 | ! |
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| 481 | stab = 0.5_wp + SIGN(0.5_wp, zzeta) ! zzeta > 0 => stab = 1 |
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| 482 | ! |
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| 483 | ! |
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| 484 | psi_h_ecmwf(ji,jj) = (1._wp - stab) * psi_unst & ! (zzeta < 0) Unstable |
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| 485 | & + stab * psi_stab ! (zzeta > 0) Stable |
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| 486 | ! |
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| 487 | END_2D |
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| 488 | END FUNCTION psi_h_ecmwf |
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| 489 | |
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| 490 | |
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| 491 | !!====================================================================== |
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| 492 | END MODULE sbcblk_algo_ecmwf |
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