[11182] | 1 | MODULE sbcblk_phy |
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[11111] | 2 | !!====================================================================== |
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[11182] | 3 | !! *** MODULE sbcblk_phy *** |
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[11111] | 4 | !! A set of functions to compute air themodynamics parameters |
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| 5 | !! needed by Aerodynamic Bulk Formulas |
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| 6 | !!===================================================================== |
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| 7 | !! 4.0 ! 2019 L. Brodeau from AeroBulk package (https://github.com/brodeau/aerobulk/) |
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| 8 | !!---------------------------------------------------------------------- |
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| 9 | |
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[11209] | 10 | !! virt_temp : virtual (aka sensible) temperature (potential or absolute) |
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[11111] | 11 | !! rho_air : density of (moist) air (depends on T_air, q_air and SLP |
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[11209] | 12 | !! visc_air : kinematic viscosity (aka Nu_air) of air from temperature |
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| 13 | !! L_vap : latent heat of vaporization of water as a function of temperature |
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[11111] | 14 | !! cp_air : specific heat of (moist) air (depends spec. hum. q_air) |
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[11209] | 15 | !! gamma_moist : adiabatic lapse-rate of moist air |
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| 16 | !! One_on_L : 1. / ( Monin-Obukhov length ) |
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| 17 | !! Ri_bulk : bulk Richardson number aka BRN |
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[11111] | 18 | !! q_sat : saturation humidity as a function of SLP and temperature |
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[11284] | 19 | !! q_air_rh : specific humidity as a function of RH, t_air and SLP |
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| 20 | |
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[11111] | 21 | USE dom_oce ! ocean space and time domain |
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| 22 | USE phycst ! physical constants |
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| 23 | |
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| 24 | IMPLICIT NONE |
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| 25 | PRIVATE |
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| 26 | |
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[11209] | 27 | INTERFACE gamma_moist |
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| 28 | MODULE PROCEDURE gamma_moist_vctr, gamma_moist_sclr |
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| 29 | END INTERFACE gamma_moist |
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| 30 | |
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[11615] | 31 | INTERFACE e_sat |
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| 32 | MODULE PROCEDURE e_sat_vctr, e_sat_sclr |
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| 33 | END INTERFACE e_sat |
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| 34 | |
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| 35 | INTERFACE L_vap |
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| 36 | MODULE PROCEDURE L_vap_vctr, L_vap_sclr |
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| 37 | END INTERFACE L_vap |
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| 38 | |
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| 39 | INTERFACE rho_air |
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| 40 | MODULE PROCEDURE rho_air_vctr, rho_air_sclr |
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| 41 | END INTERFACE rho_air |
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| 42 | |
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| 43 | INTERFACE cp_air |
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| 44 | MODULE PROCEDURE cp_air_vctr, cp_air_sclr |
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| 45 | END INTERFACE cp_air |
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| 46 | |
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| 47 | INTERFACE alpha_sw |
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| 48 | MODULE PROCEDURE alpha_sw_vctr, alpha_sw_sclr |
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| 49 | END INTERFACE alpha_sw |
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| 50 | |
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| 51 | |
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| 52 | |
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[11209] | 53 | PUBLIC virt_temp |
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[11111] | 54 | PUBLIC rho_air |
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[11209] | 55 | PUBLIC visc_air |
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| 56 | PUBLIC L_vap |
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[11111] | 57 | PUBLIC cp_air |
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[11209] | 58 | PUBLIC gamma_moist |
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| 59 | PUBLIC One_on_L |
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| 60 | PUBLIC Ri_bulk |
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[11111] | 61 | PUBLIC q_sat |
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[11284] | 62 | PUBLIC q_air_rh |
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[11615] | 63 | !: |
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| 64 | PUBLIC update_qnsol_tau |
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| 65 | PUBLIC alpha_sw |
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[11111] | 66 | |
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| 67 | !!---------------------------------------------------------------------- |
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| 68 | !! NEMO/OCE 4.0 , NEMO Consortium (2018) |
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| 69 | !! $Id: sbcblk.F90 10535 2019-01-16 17:36:47Z clem $ |
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| 70 | !! Software governed by the CeCILL license (see ./LICENSE) |
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| 71 | !!---------------------------------------------------------------------- |
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| 72 | CONTAINS |
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| 73 | |
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[11209] | 74 | FUNCTION virt_temp( pta, pqa ) |
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| 75 | !!------------------------------------------------------------------------ |
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| 76 | !! |
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| 77 | !! Compute the (absolute/potential) virtual temperature, knowing the |
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| 78 | !! (absolute/potential) temperature and specific humidity |
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| 79 | !! |
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| 80 | !! If input temperature is absolute then output vitual temperature is absolute |
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| 81 | !! If input temperature is potential then output vitual temperature is potential |
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| 82 | !! |
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| 83 | !! Author: L. Brodeau, June 2019 / AeroBulk |
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| 84 | !! (https://github.com/brodeau/aerobulk/) |
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| 85 | !!------------------------------------------------------------------------ |
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| 86 | REAL(wp), DIMENSION(jpi,jpj) :: virt_temp !: 1./(Monin Obukhov length) [m^-1] |
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| 87 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: pta, & !: absolute or potetntial air temperature [K] |
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| 88 | & pqa !: specific humidity of air [kg/kg] |
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| 89 | !!------------------------------------------------------------------- |
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| 90 | ! |
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| 91 | virt_temp(:,:) = pta(:,:) * (1._wp + rctv0*pqa(:,:)) |
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| 92 | !! |
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| 93 | !! This is exactly the same sing that: |
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| 94 | !! virt_temp = pta * ( pwa + reps0) / (reps0*(1.+pwa)) |
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| 95 | !! with wpa (mixing ration) defined as : pwa = pqa/(1.-pqa) |
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| 96 | ! |
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| 97 | END FUNCTION virt_temp |
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| 98 | |
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[11615] | 99 | FUNCTION rho_air_vctr( ptak, pqa, pslp ) |
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[11111] | 100 | !!------------------------------------------------------------------------------- |
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[11615] | 101 | !! *** FUNCTION rho_air_vctr *** |
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[11111] | 102 | !! |
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| 103 | !! ** Purpose : compute density of (moist) air using the eq. of state of the atmosphere |
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| 104 | !! |
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[11209] | 105 | !! ** Author: L. Brodeau, June 2016 / AeroBulk (https://github.com/brodeau/aerobulk/) |
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[11111] | 106 | !!------------------------------------------------------------------------------- |
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| 107 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: ptak ! air temperature [K] |
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| 108 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: pqa ! air specific humidity [kg/kg] |
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| 109 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: pslp ! pressure in [Pa] |
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[11615] | 110 | REAL(wp), DIMENSION(jpi,jpj) :: rho_air_vctr ! density of moist air [kg/m^3] |
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[11111] | 111 | !!------------------------------------------------------------------------------- |
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[11615] | 112 | rho_air_vctr = MAX( pslp / (R_dry*ptak * ( 1._wp + rctv0*pqa )) , 0.8_wp ) |
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| 113 | END FUNCTION rho_air_vctr |
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[11111] | 114 | |
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[11615] | 115 | FUNCTION rho_air_sclr( ptak, pqa, pslp ) |
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| 116 | !!------------------------------------------------------------------------------- |
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| 117 | !! *** FUNCTION rho_air_sclr *** |
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| 118 | !! |
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| 119 | !! ** Purpose : compute density of (moist) air using the eq. of state of the atmosphere |
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| 120 | !! |
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| 121 | !! ** Author: L. Brodeau, June 2016 / AeroBulk (https://github.com/brodeau/aerobulk/) |
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| 122 | !!------------------------------------------------------------------------------- |
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| 123 | REAL(wp), INTENT(in) :: ptak ! air temperature [K] |
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| 124 | REAL(wp), INTENT(in) :: pqa ! air specific humidity [kg/kg] |
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| 125 | REAL(wp), INTENT(in) :: pslp ! pressure in [Pa] |
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| 126 | REAL(wp) :: rho_air_sclr ! density of moist air [kg/m^3] |
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| 127 | !!------------------------------------------------------------------------------- |
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| 128 | rho_air_sclr = MAX( pslp / (R_dry*ptak * ( 1._wp + rctv0*pqa )) , 0.8_wp ) |
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| 129 | END FUNCTION rho_air_sclr |
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| 130 | |
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| 131 | |
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| 132 | |
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[11209] | 133 | FUNCTION visc_air(ptak) |
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| 134 | !!---------------------------------------------------------------------------------- |
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| 135 | !! Air kinetic viscosity (m^2/s) given from temperature in degrees... |
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| 136 | !! |
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| 137 | !! ** Author: L. Brodeau, june 2016 / AeroBulk (https://github.com/brodeau/aerobulk/) |
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| 138 | !!---------------------------------------------------------------------------------- |
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| 139 | REAL(wp), DIMENSION(jpi,jpj) :: visc_air ! |
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| 140 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: ptak ! air temperature in (K) |
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| 141 | ! |
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| 142 | INTEGER :: ji, jj ! dummy loop indices |
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| 143 | REAL(wp) :: ztc, ztc2 ! local scalar |
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| 144 | !!---------------------------------------------------------------------------------- |
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| 145 | ! |
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| 146 | DO jj = 1, jpj |
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| 147 | DO ji = 1, jpi |
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| 148 | ztc = ptak(ji,jj) - rt0 ! air temp, in deg. C |
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| 149 | ztc2 = ztc*ztc |
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| 150 | visc_air(ji,jj) = 1.326e-5*(1. + 6.542E-3*ztc + 8.301e-6*ztc2 - 4.84e-9*ztc2*ztc) |
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| 151 | END DO |
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| 152 | END DO |
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| 153 | ! |
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| 154 | END FUNCTION visc_air |
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[11111] | 155 | |
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[11615] | 156 | FUNCTION L_vap_vctr( psst ) |
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[11209] | 157 | !!--------------------------------------------------------------------------------- |
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[11615] | 158 | !! *** FUNCTION L_vap_vctr *** |
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[11209] | 159 | !! |
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[11615] | 160 | !! ** Purpose : Compute the latent heat of vaporization of water from temperature |
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[11209] | 161 | !! |
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| 162 | !! ** Author: L. Brodeau, june 2016 / AeroBulk (https://github.com/brodeau/aerobulk/) |
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| 163 | !!---------------------------------------------------------------------------------- |
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[11615] | 164 | REAL(wp), DIMENSION(jpi,jpj) :: L_vap_vctr ! latent heat of vaporization [J/kg] |
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[11209] | 165 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: psst ! water temperature [K] |
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| 166 | !!---------------------------------------------------------------------------------- |
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| 167 | ! |
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[11615] | 168 | L_vap_vctr = ( 2.501_wp - 0.00237_wp * ( psst(:,:) - rt0) ) * 1.e6_wp |
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[11209] | 169 | ! |
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[11615] | 170 | END FUNCTION L_vap_vctr |
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[11209] | 171 | |
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[11615] | 172 | FUNCTION L_vap_sclr( psst ) |
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| 173 | !!--------------------------------------------------------------------------------- |
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| 174 | !! *** FUNCTION L_vap_sclr *** |
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| 175 | !! |
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| 176 | !! ** Purpose : Compute the latent heat of vaporization of water from temperature |
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| 177 | !! |
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| 178 | !! ** Author: L. Brodeau, june 2016 / AeroBulk (https://github.com/brodeau/aerobulk/) |
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| 179 | !!---------------------------------------------------------------------------------- |
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| 180 | REAL(wp) :: L_vap_sclr ! latent heat of vaporization [J/kg] |
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| 181 | REAL(wp), INTENT(in) :: psst ! water temperature [K] |
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| 182 | !!---------------------------------------------------------------------------------- |
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| 183 | ! |
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| 184 | L_vap_sclr = ( 2.501_wp - 0.00237_wp * ( psst - rt0) ) * 1.e6_wp |
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| 185 | ! |
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| 186 | END FUNCTION L_vap_sclr |
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| 187 | |
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| 188 | |
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| 189 | FUNCTION cp_air_vctr( pqa ) |
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[11111] | 190 | !!------------------------------------------------------------------------------- |
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[11615] | 191 | !! *** FUNCTION cp_air_vctr *** |
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[11111] | 192 | !! |
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| 193 | !! ** Purpose : Compute specific heat (Cp) of moist air |
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| 194 | !! |
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| 195 | !! ** Author: L. Brodeau, june 2016 / AeroBulk (https://github.com/brodeau/aerobulk/) |
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| 196 | !!------------------------------------------------------------------------------- |
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| 197 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: pqa ! air specific humidity [kg/kg] |
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[11615] | 198 | REAL(wp), DIMENSION(jpi,jpj) :: cp_air_vctr ! specific heat of moist air [J/K/kg] |
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[11111] | 199 | !!------------------------------------------------------------------------------- |
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[11615] | 200 | cp_air_vctr = rCp_dry + rCp_vap * pqa |
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| 201 | END FUNCTION cp_air_vctr |
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[11111] | 202 | |
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[11615] | 203 | FUNCTION cp_air_sclr( pqa ) |
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| 204 | !!------------------------------------------------------------------------------- |
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| 205 | !! *** FUNCTION cp_air_sclr *** |
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| 206 | !! |
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| 207 | !! ** Purpose : Compute specific heat (Cp) of moist air |
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| 208 | !! |
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| 209 | !! ** Author: L. Brodeau, june 2016 / AeroBulk (https://github.com/brodeau/aerobulk/) |
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| 210 | !!------------------------------------------------------------------------------- |
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| 211 | REAL(wp), INTENT(in) :: pqa ! air specific humidity [kg/kg] |
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| 212 | REAL(wp) :: cp_air_sclr ! specific heat of moist air [J/K/kg] |
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| 213 | !!------------------------------------------------------------------------------- |
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| 214 | cp_air_sclr = rCp_dry + rCp_vap * pqa |
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| 215 | END FUNCTION cp_air_sclr |
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| 216 | |
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| 217 | |
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| 218 | |
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| 219 | |
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| 220 | |
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[11209] | 221 | FUNCTION gamma_moist_vctr( ptak, pqa ) |
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[11111] | 222 | !!---------------------------------------------------------------------------------- |
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[11209] | 223 | !! *** FUNCTION gamma_moist_vctr *** |
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[11111] | 224 | !! |
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[11209] | 225 | !! ** Purpose : Compute the moist adiabatic lapse-rate. |
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| 226 | !! => http://glossary.ametsoc.org/wiki/Moist-adiabatic_lapse_rate |
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| 227 | !! => http://www.geog.ucsb.edu/~joel/g266_s10/lecture_notes/chapt03/oh10_3_01/oh10_3_01.html |
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[11111] | 228 | !! |
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| 229 | !! ** Author: L. Brodeau, june 2016 / AeroBulk (https://github.com/brodeau/aerobulk/) |
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| 230 | !!---------------------------------------------------------------------------------- |
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[11209] | 231 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: ptak ! air temperature [K] |
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| 232 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: pqa ! specific humidity [kg/kg] |
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| 233 | REAL(wp), DIMENSION(jpi,jpj) :: gamma_moist_vctr ! moist adiabatic lapse-rate |
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[11111] | 234 | ! |
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| 235 | INTEGER :: ji, jj ! dummy loop indices |
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[11209] | 236 | REAL(wp) :: zta, zqa, zwa, ziRT ! local scalar |
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[11111] | 237 | !!---------------------------------------------------------------------------------- |
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| 238 | ! |
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| 239 | DO jj = 1, jpj |
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| 240 | DO ji = 1, jpi |
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[11209] | 241 | zta = MAX( ptak(ji,jj), 180._wp) ! prevents screw-up over masked regions where field == 0. |
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| 242 | zqa = MAX( pqa(ji,jj), 1.E-6_wp) ! " " " |
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[11111] | 243 | ! |
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[11209] | 244 | zwa = zqa / (1. - zqa) ! w is mixing ratio w = q/(1-q) | q = w/(1+w) |
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| 245 | ziRT = 1._wp/(R_dry*zta) ! 1/RT |
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| 246 | gamma_moist_vctr(ji,jj) = grav * ( 1._wp + rLevap*zwa*ziRT ) / ( rCp_dry + rLevap*rLevap*zwa*reps0*ziRT/zta ) |
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[11111] | 247 | END DO |
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| 248 | END DO |
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| 249 | ! |
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[11209] | 250 | END FUNCTION gamma_moist_vctr |
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[11111] | 251 | |
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[11209] | 252 | FUNCTION gamma_moist_sclr( ptak, pqa ) |
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[11111] | 253 | !!---------------------------------------------------------------------------------- |
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| 254 | !! ** Purpose : Compute the moist adiabatic lapse-rate. |
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| 255 | !! => http://glossary.ametsoc.org/wiki/Moist-adiabatic_lapse_rate |
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| 256 | !! => http://www.geog.ucsb.edu/~joel/g266_s10/lecture_notes/chapt03/oh10_3_01/oh10_3_01.html |
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| 257 | !! |
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[11209] | 258 | !! ** Author: L. Brodeau, June 2016 / AeroBulk (https://github.com/brodeau/aerobulk/) |
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[11111] | 259 | !!---------------------------------------------------------------------------------- |
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[11209] | 260 | REAL(wp) :: gamma_moist_sclr |
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| 261 | REAL(wp), INTENT(in) :: ptak, pqa ! air temperature (K) and specific humidity (kg/kg) |
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[11111] | 262 | ! |
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[11209] | 263 | REAL(wp) :: zta, zqa, zwa, ziRT ! local scalar |
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[11111] | 264 | !!---------------------------------------------------------------------------------- |
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[11209] | 265 | zta = MAX( ptak, 180._wp) ! prevents screw-up over masked regions where field == 0. |
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| 266 | zqa = MAX( pqa, 1.E-6_wp) ! " " " |
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| 267 | !! |
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| 268 | zwa = zqa / (1._wp - zqa) ! w is mixing ratio w = q/(1-q) | q = w/(1+w) |
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| 269 | ziRT = 1._wp / (R_dry*zta) ! 1/RT |
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| 270 | gamma_moist_sclr = grav * ( 1._wp + rLevap*zwa*ziRT ) / ( rCp_dry + rLevap*rLevap*zwa*reps0*ziRT/zta ) |
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| 271 | !! |
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| 272 | END FUNCTION gamma_moist_sclr |
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| 273 | |
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| 274 | FUNCTION One_on_L( ptha, pqa, pus, pts, pqs ) |
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| 275 | !!------------------------------------------------------------------------ |
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| 276 | !! |
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| 277 | !! Evaluates the 1./(Monin Obukhov length) from air temperature and |
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| 278 | !! specific humidity, and frictional scales u*, t* and q* |
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| 279 | !! |
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| 280 | !! Author: L. Brodeau, June 2016 / AeroBulk |
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| 281 | !! (https://github.com/brodeau/aerobulk/) |
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| 282 | !!------------------------------------------------------------------------ |
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| 283 | REAL(wp), DIMENSION(jpi,jpj) :: One_on_L !: 1./(Monin Obukhov length) [m^-1] |
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| 284 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: ptha, & !: average potetntial air temperature [K] |
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| 285 | & pqa, & !: average specific humidity of air [kg/kg] |
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| 286 | & pus, pts, pqs !: frictional velocity, temperature and humidity |
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[11111] | 287 | ! |
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[11209] | 288 | INTEGER :: ji, jj ! dummy loop indices |
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| 289 | REAL(wp) :: zqa ! local scalar |
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| 290 | !!------------------------------------------------------------------- |
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| 291 | ! |
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[11111] | 292 | DO jj = 1, jpj |
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| 293 | DO ji = 1, jpi |
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[11209] | 294 | ! |
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| 295 | zqa = (1._wp + rctv0*pqa(ji,jj)) |
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| 296 | ! |
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[11266] | 297 | ! The main concern is to know whether, the vertical turbulent flux of virtual temperature, < u' theta_v' > is estimated with: |
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| 298 | ! a/ -u* [ theta* (1 + 0.61 q) + 0.61 theta q* ] => this is the one that seems correct! chose this one! |
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| 299 | ! or |
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| 300 | ! b/ -u* [ theta* + 0.61 theta q* ] |
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| 301 | ! |
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| 302 | One_on_L(ji,jj) = grav*vkarmn*( pts(ji,jj)*zqa + rctv0*ptha(ji,jj)*pqs(ji,jj) ) & |
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[11209] | 303 | & / MAX( pus(ji,jj)*pus(ji,jj)*ptha(ji,jj)*zqa , 1.E-9_wp ) |
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| 304 | ! |
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[11111] | 305 | END DO |
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| 306 | END DO |
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| 307 | ! |
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[11209] | 308 | One_on_L = SIGN( MIN(ABS(One_on_L),200._wp), One_on_L ) ! (prevent FPE from stupid values over masked regions...) |
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| 309 | ! |
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| 310 | END FUNCTION One_on_L |
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[11111] | 311 | |
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[11209] | 312 | FUNCTION Ri_bulk( pz, psst, ptha, pssq, pqa, pub ) |
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| 313 | !!---------------------------------------------------------------------------------- |
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| 314 | !! Bulk Richardson number according to "wide-spread equation"... |
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[11111] | 315 | !! |
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[11209] | 316 | !! ** Author: L. Brodeau, June 2019 / AeroBulk (https://github.com/brodeau/aerobulk/) |
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[11111] | 317 | !!---------------------------------------------------------------------------------- |
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[11209] | 318 | REAL(wp), DIMENSION(jpi,jpj) :: Ri_bulk |
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| 319 | REAL(wp) , INTENT(in) :: pz ! height above the sea (aka "delta z") [m] |
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| 320 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: psst ! SST [K] |
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| 321 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: ptha ! pot. air temp. at height "pz" [K] |
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| 322 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: pssq ! 0.98*q_sat(SST) [kg/kg] |
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| 323 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: pqa ! air spec. hum. at height "pz" [kg/kg] |
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| 324 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: pub ! bulk wind speed [m/s] |
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[11111] | 325 | ! |
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[11209] | 326 | INTEGER :: ji, jj ! dummy loop indices |
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| 327 | REAL(wp) :: zqa, zta, zgamma, zdth_v, ztv, zsstv ! local scalars |
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| 328 | !!------------------------------------------------------------------- |
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[11111] | 329 | ! |
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[11209] | 330 | DO jj = 1, jpj |
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| 331 | DO ji = 1, jpi |
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| 332 | ! |
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| 333 | zqa = 0.5_wp*(pqa(ji,jj)+pssq(ji,jj)) ! ~ mean q within the layer... |
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| 334 | zta = 0.5_wp*( psst(ji,jj) + ptha(ji,jj) - gamma_moist(ptha(ji,jj),zqa)*pz ) ! ~ mean absolute temperature of air within the layer |
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| 335 | zta = 0.5_wp*( psst(ji,jj) + ptha(ji,jj) - gamma_moist(zta, zqa)*pz ) ! ~ mean absolute temperature of air within the layer |
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| 336 | zgamma = gamma_moist(zta, zqa) ! Adiabatic lapse-rate for moist air within the layer |
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| 337 | ! |
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| 338 | zsstv = psst(ji,jj)*(1._wp + rctv0*pssq(ji,jj)) ! absolute==potential virtual SST (absolute==potential because z=0!) |
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| 339 | ! |
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| 340 | zdth_v = ptha(ji,jj)*(1._wp + rctv0*pqa(ji,jj)) - zsstv ! air-sea delta of "virtual potential temperature" |
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| 341 | ! |
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| 342 | ztv = 0.5_wp*( zsstv + (ptha(ji,jj) - zgamma*pz)*(1._wp + rctv0*pqa(ji,jj)) ) ! ~ mean absolute virtual temp. within the layer |
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| 343 | ! |
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| 344 | Ri_bulk(ji,jj) = grav*zdth_v*pz / ( ztv*pub(ji,jj)*pub(ji,jj) ) ! the usual definition of Ri_bulk |
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| 345 | ! |
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| 346 | END DO |
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| 347 | END DO |
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| 348 | END FUNCTION Ri_bulk |
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[11111] | 349 | |
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| 350 | |
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[11615] | 351 | FUNCTION e_sat_vctr(ptak) |
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| 352 | !!************************************************** |
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| 353 | !! ptak: air temperature [K] |
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| 354 | !! e_sat: water vapor at saturation [Pa] |
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| 355 | !! |
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| 356 | !! Recommended by WMO |
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| 357 | !! |
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| 358 | !! Goff, J. A., 1957: Saturation pressure of water on the new kelvin |
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| 359 | !! temperature scale. Transactions of the American society of heating |
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| 360 | !! and ventilating engineers, 347–354. |
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| 361 | !! |
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| 362 | !! rt0 should be 273.16 (triple point of water) and not 273.15 like here |
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| 363 | !!************************************************** |
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| 364 | |
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| 365 | REAL(wp), DIMENSION(jpi,jpj) :: e_sat_vctr !: vapour pressure at saturation [Pa] |
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| 366 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: ptak !: temperature (K) |
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| 367 | |
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| 368 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: ztmp |
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| 369 | |
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| 370 | ALLOCATE ( ztmp(jpi,jpj) ) |
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| 371 | |
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| 372 | ztmp(:,:) = rtt0/ptak(:,:) |
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| 373 | |
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| 374 | e_sat_vctr = 100.*( 10.**(10.79574*(1. - ztmp) - 5.028*LOG10(ptak/rtt0) & |
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| 375 | & + 1.50475*10.**(-4)*(1. - 10.**(-8.2969*(ptak/rtt0 - 1.)) ) & |
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| 376 | & + 0.42873*10.**(-3)*(10.**(4.76955*(1. - ztmp)) - 1.) + 0.78614) ) |
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| 377 | |
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| 378 | DEALLOCATE ( ztmp ) |
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| 379 | |
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| 380 | END FUNCTION e_sat_vctr |
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| 381 | |
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| 382 | |
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| 383 | FUNCTION e_sat_sclr( ptak ) |
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[11284] | 384 | !!---------------------------------------------------------------------------------- |
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| 385 | !! *** FUNCTION e_sat_sclr *** |
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| 386 | !! < SCALAR argument version > |
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| 387 | !! ** Purpose : water vapor at saturation in [Pa] |
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| 388 | !! Based on accurate estimate by Goff, 1957 |
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| 389 | !! |
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| 390 | !! ** Author: L. Brodeau, june 2016 / AeroBulk (https://github.com/brodeau/aerobulk/) |
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| 391 | !! |
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| 392 | !! Note: what rt0 should be here, is 273.16 (triple point of water) and not 273.15 like here |
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| 393 | !!---------------------------------------------------------------------------------- |
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| 394 | REAL(wp), INTENT(in) :: ptak ! air temperature [K] |
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| 395 | REAL(wp) :: e_sat_sclr ! water vapor at saturation [kg/kg] |
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| 396 | ! |
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| 397 | REAL(wp) :: zta, ztmp ! local scalar |
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| 398 | !!---------------------------------------------------------------------------------- |
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| 399 | ! |
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| 400 | zta = MAX( ptak , 180._wp ) ! air temp., prevents fpe0 errors dute to unrealistically low values over masked regions... |
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| 401 | ztmp = rt0 / zta |
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| 402 | ! |
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| 403 | ! Vapour pressure at saturation [Pa] : WMO, (Goff, 1957) |
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| 404 | e_sat_sclr = 100.*( 10.**( 10.79574*(1. - ztmp) - 5.028*LOG10(zta/rt0) & |
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| 405 | & + 1.50475*10.**(-4)*(1. - 10.**(-8.2969*(zta/rt0 - 1.)) ) & |
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| 406 | & + 0.42873*10.**(-3)*(10.**(4.76955*(1. - ztmp)) - 1.) + 0.78614) ) |
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| 407 | ! |
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| 408 | END FUNCTION e_sat_sclr |
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| 409 | |
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| 410 | |
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[11209] | 411 | FUNCTION q_sat( ptak, pslp ) |
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[11111] | 412 | !!---------------------------------------------------------------------------------- |
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[11209] | 413 | !! *** FUNCTION q_sat *** |
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[11111] | 414 | !! |
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[11209] | 415 | !! ** Purpose : Specific humidity at saturation in [kg/kg] |
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| 416 | !! Based on accurate estimate of "e_sat" |
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| 417 | !! aka saturation water vapor (Goff, 1957) |
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| 418 | !! |
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[11111] | 419 | !! ** Author: L. Brodeau, june 2016 / AeroBulk (https://github.com/brodeau/aerobulk/) |
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| 420 | !!---------------------------------------------------------------------------------- |
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[11209] | 421 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: ptak ! air temperature [K] |
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| 422 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: pslp ! sea level atmospheric pressure [Pa] |
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| 423 | REAL(wp), DIMENSION(jpi,jpj) :: q_sat ! Specific humidity at saturation [kg/kg] |
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[11111] | 424 | ! |
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[11209] | 425 | INTEGER :: ji, jj ! dummy loop indices |
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[11284] | 426 | REAL(wp) :: ze_sat ! local scalar |
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[11111] | 427 | !!---------------------------------------------------------------------------------- |
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| 428 | ! |
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| 429 | DO jj = 1, jpj |
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| 430 | DO ji = 1, jpi |
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[11209] | 431 | ! |
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[11615] | 432 | ze_sat = e_sat_sclr( ptak(ji,jj) ) |
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[11209] | 433 | ! |
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[11284] | 434 | q_sat(ji,jj) = reps0 * ze_sat/( pslp(ji,jj) - (1._wp - reps0)*ze_sat ) |
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[11209] | 435 | ! |
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[11111] | 436 | END DO |
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| 437 | END DO |
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| 438 | ! |
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[11209] | 439 | END FUNCTION q_sat |
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[11111] | 440 | |
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[11284] | 441 | FUNCTION q_air_rh(prha, ptak, pslp) |
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| 442 | !!---------------------------------------------------------------------------------- |
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| 443 | !! Specific humidity of air out of Relative Humidity |
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| 444 | !! |
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| 445 | !! ** Author: L. Brodeau, june 2016 / AeroBulk (https://github.com/brodeau/aerobulk/) |
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| 446 | !!---------------------------------------------------------------------------------- |
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| 447 | REAL(wp), DIMENSION(jpi,jpj) :: q_air_rh |
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| 448 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: prha !: relative humidity [fraction, not %!!!] |
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| 449 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: ptak !: air temperature [K] |
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| 450 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: pslp !: atmospheric pressure [Pa] |
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| 451 | ! |
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| 452 | INTEGER :: ji, jj ! dummy loop indices |
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| 453 | REAL(wp) :: ze ! local scalar |
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| 454 | !!---------------------------------------------------------------------------------- |
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| 455 | ! |
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| 456 | DO jj = 1, jpj |
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| 457 | DO ji = 1, jpi |
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[11615] | 458 | ze = prha(ji,jj)*e_sat_sclr(ptak(ji,jj)) |
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[11284] | 459 | q_air_rh(ji,jj) = ze*reps0/(pslp(ji,jj) - (1. - reps0)*ze) |
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| 460 | END DO |
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| 461 | END DO |
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| 462 | ! |
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| 463 | END FUNCTION q_air_rh |
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[11209] | 464 | |
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[11284] | 465 | |
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[11615] | 466 | SUBROUTINE UPDATE_QNSOL_TAU( pTs, pqs, pTa, pqa, pust, ptst, pqst, pUb, pslp, prlw, & |
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| 467 | & pQns, pTau, & |
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| 468 | & Qlat) |
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| 469 | !!---------------------------------------------------------------------------------- |
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| 470 | !! Purpose: returns the non-solar heat flux to the ocean aka "Qlat + Qsen + Qlw" |
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| 471 | !! and the module of the wind stress => pTau = Tau |
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| 472 | !! ** Author: L. Brodeau, Sept. 2019 / AeroBulk (https://github.com/brodeau/aerobulk/) |
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| 473 | !!---------------------------------------------------------------------------------- |
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| 474 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: pTs ! water temperature at the air-sea interface [K] |
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| 475 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: pqs ! satur. spec. hum. at T=pTs [kg/kg] |
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| 476 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: pTa ! air temperature at z=zu [K] |
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| 477 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: pqa ! specific humidity at z=zu [kg/kg] |
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| 478 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: pust ! u* |
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| 479 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: ptst ! t* |
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| 480 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: pqst ! q* |
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| 481 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: pUb ! bulk wind speed at z=zu [m/s] |
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| 482 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: pslp ! sea-level atmospheric pressure [Pa] |
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| 483 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: prlw ! downwelling longwave radiative flux [W/m^2] |
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| 484 | ! |
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| 485 | REAL(wp), DIMENSION(jpi,jpj), INTENT(out) :: pQns ! non-solar heat flux to the ocean aka "Qlat + Qsen + Qlw" [W/m^2]] |
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| 486 | REAL(wp), DIMENSION(jpi,jpj), INTENT(out) :: pTau ! module of the wind stress [N/m^2] |
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| 487 | ! |
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| 488 | REAL(wp), DIMENSION(jpi,jpj), OPTIONAL, INTENT(out) :: Qlat |
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| 489 | ! |
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| 490 | REAL(wp) :: zdt, zdq, zCd, zCh, zCe, zUrho, zTs2, zz0, & |
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| 491 | & zQlat, zQsen, zQlw |
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| 492 | INTEGER :: ji, jj ! dummy loop indices |
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| 493 | !!---------------------------------------------------------------------------------- |
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| 494 | DO jj = 1, jpj |
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| 495 | DO ji = 1, jpi |
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| 496 | |
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| 497 | zdt = pTa(ji,jj) - pTs(ji,jj) ; zdt = SIGN( MAX(ABS(zdt),1.E-6_wp), zdt ) |
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| 498 | zdq = pqa(ji,jj) - pqs(ji,jj) ; zdq = SIGN( MAX(ABS(zdq),1.E-9_wp), zdq ) |
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| 499 | zz0 = pust(ji,jj)/pUb(ji,jj) |
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| 500 | zCd = zz0*zz0 |
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| 501 | zCh = zz0*ptst(ji,jj)/zdt |
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| 502 | zCe = zz0*pqst(ji,jj)/zdq |
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| 503 | |
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| 504 | zUrho = pUb(ji,jj)*MAX(rho_air(pTa(ji,jj), pqa(ji,jj), pslp(ji,jj)), 1._wp) ! rho*U10 |
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| 505 | zTs2 = pTs(ji,jj)*pTs(ji,jj) |
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| 506 | |
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| 507 | ! Wind stress module: |
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| 508 | pTau(ji,jj) = zCd*zUrho*pUb(ji,jj) ! lolo? |
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| 509 | |
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| 510 | ! Non-Solar heat flux to the ocean: |
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| 511 | zQlat = MIN ( zUrho*zCe*L_vap( pTs(ji,jj)) * zdq , 0._wp ) ! we do not want a Qlat > 0 ! |
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| 512 | zQsen = zUrho*zCh*cp_air(pqa(ji,jj)) * zdt |
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| 513 | zQlw = emiss_w*(prlw(ji,jj) - stefan*zTs2*zTs2) ! Net longwave flux |
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| 514 | |
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| 515 | pQns(ji,jj) = zQlat + zQsen + zQlw |
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| 516 | |
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| 517 | IF ( PRESENT(Qlat) ) Qlat(ji,jj) = zQlat |
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| 518 | END DO |
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| 519 | END DO |
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| 520 | END SUBROUTINE UPDATE_QNSOL_TAU |
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| 521 | |
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| 522 | |
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| 523 | FUNCTION alpha_sw_vctr( psst ) |
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| 524 | !!--------------------------------------------------------------------------------- |
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| 525 | !! *** FUNCTION alpha_sw_vctr *** |
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| 526 | !! |
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| 527 | !! ** Purpose : ROUGH estimate of the thermal expansion coefficient of sea-water at the surface (P =~ 1010 hpa) |
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| 528 | !! |
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| 529 | !! ** Author: L. Brodeau, june 2016 / AeroBulk (https://github.com/brodeau/aerobulk/) |
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| 530 | !!---------------------------------------------------------------------------------- |
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| 531 | REAL(wp), DIMENSION(jpi,jpj) :: alpha_sw_vctr ! latent heat of vaporization [J/kg] |
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| 532 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: psst ! water temperature [K] |
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| 533 | !!---------------------------------------------------------------------------------- |
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| 534 | alpha_sw_vctr = 2.1e-5_wp * MAX(psst(:,:)-rt0 + 3.2_wp, 0._wp)**0.79 |
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| 535 | END FUNCTION alpha_sw_vctr |
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| 536 | |
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| 537 | FUNCTION alpha_sw_sclr( psst ) |
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| 538 | !!--------------------------------------------------------------------------------- |
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| 539 | !! *** FUNCTION alpha_sw_sclr *** |
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| 540 | !! |
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| 541 | !! ** Purpose : ROUGH estimate of the thermal expansion coefficient of sea-water at the surface (P =~ 1010 hpa) |
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| 542 | !! |
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| 543 | !! ** Author: L. Brodeau, june 2016 / AeroBulk (https://github.com/brodeau/aerobulk/) |
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| 544 | !!---------------------------------------------------------------------------------- |
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| 545 | REAL(wp) :: alpha_sw_sclr ! latent heat of vaporization [J/kg] |
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| 546 | REAL(wp), INTENT(in) :: psst ! sea-water temperature [K] |
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| 547 | !!---------------------------------------------------------------------------------- |
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| 548 | alpha_sw_sclr = 2.1e-5_wp * MAX(psst-rt0 + 3.2_wp, 0._wp)**0.79 |
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| 549 | END FUNCTION alpha_sw_sclr |
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| 550 | |
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| 551 | |
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| 552 | |
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[11111] | 553 | !!====================================================================== |
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[11182] | 554 | END MODULE sbcblk_phy |
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