| 1 | MODULE sbcblk_algo_ecmwf |
|---|
| 2 | !!====================================================================== |
|---|
| 3 | !! *** MODULE sbcblk_algo_ecmwf *** |
|---|
| 4 | !! Computes: |
|---|
| 5 | !! * bulk transfer coefficients C_D, C_E and C_H |
|---|
| 6 | !! * air temp. and spec. hum. adjusted from zt (2m) to zu (10m) if needed |
|---|
| 7 | !! * the effective bulk wind speed at 10m Ubzu |
|---|
| 8 | !! => all these are used in bulk formulas in sbcblk.F90 |
|---|
| 9 | !! |
|---|
| 10 | !! Using the bulk formulation/param. of IFS of ECMWF (cycle 40r1) |
|---|
| 11 | !! based on IFS doc (avaible online on the ECMWF's website) |
|---|
| 12 | !! |
|---|
| 13 | !! Routine turb_ecmwf maintained and developed in AeroBulk |
|---|
| 14 | !! (https://github.com/brodeau/aerobulk) |
|---|
| 15 | !! |
|---|
| 16 | !! ** Author: L. Brodeau, June 2019 / AeroBulk (https://github.com/brodeau/aerobulk) |
|---|
| 17 | !!---------------------------------------------------------------------- |
|---|
| 18 | !! History : 4.0 ! 2016-02 (L.Brodeau) Original code |
|---|
| 19 | !! 4.2 ! 2020-12 (L. Brodeau) Introduction of various air-ice bulk parameterizations + improvements |
|---|
| 20 | !!---------------------------------------------------------------------- |
|---|
| 21 | |
|---|
| 22 | !!---------------------------------------------------------------------- |
|---|
| 23 | !! turb_ecmwf : computes the bulk turbulent transfer coefficients |
|---|
| 24 | !! adjusts t_air and q_air from zt to zu m |
|---|
| 25 | !! returns the effective bulk wind speed at 10m |
|---|
| 26 | !!---------------------------------------------------------------------- |
|---|
| 27 | USE dom_oce ! ocean space and time domain |
|---|
| 28 | USE phycst ! physical constants |
|---|
| 29 | USE lib_mpp, ONLY: ctl_stop ! distribued memory computing library |
|---|
| 30 | USE in_out_manager, ONLY: nit000 ! I/O manager |
|---|
| 31 | USE sbc_phy ! Catalog of functions for physical/meteorological parameters in the marine boundary layer |
|---|
| 32 | USE sbcblk_skin_ecmwf ! cool-skin/warm layer scheme !LB |
|---|
| 33 | USE sbcwave, ONLY : charn |
|---|
| 34 | USE sbc_oce, ONLY : ln_charn ! wave module |
|---|
| 35 | |
|---|
| 36 | IMPLICIT NONE |
|---|
| 37 | PRIVATE |
|---|
| 38 | |
|---|
| 39 | PUBLIC :: SBCBLK_ALGO_ECMWF_INIT, TURB_ECMWF |
|---|
| 40 | |
|---|
| 41 | !! ECMWF own values for given constants, taken form IFS documentation... |
|---|
| 42 | REAL(wp), PARAMETER, PUBLIC :: charn0_ecmwf = 0.018_wp ! Charnock constant (pretty high value here !!! |
|---|
| 43 | ! ! => Usually 0.011 for moderate winds) |
|---|
| 44 | REAL(wp), PARAMETER :: zi0 = 1000. ! scale height of the atmospheric boundary layer...1 |
|---|
| 45 | REAL(wp), PARAMETER :: Beta0 = 1. ! gustiness parameter ( = 1.25 in COAREv3) |
|---|
| 46 | REAL(wp), PARAMETER :: alpha_M = 0.11 ! For roughness length (smooth surface term) |
|---|
| 47 | REAL(wp), PARAMETER :: alpha_H = 0.40 ! (Chapter 3, p.34, IFS doc Cy31r1) |
|---|
| 48 | REAL(wp), PARAMETER :: alpha_Q = 0.62 ! |
|---|
| 49 | |
|---|
| 50 | !! * Substitutions |
|---|
| 51 | # include "do_loop_substitute.h90" |
|---|
| 52 | |
|---|
| 53 | !!---------------------------------------------------------------------- |
|---|
| 54 | CONTAINS |
|---|
| 55 | |
|---|
| 56 | |
|---|
| 57 | SUBROUTINE sbcblk_algo_ecmwf_init(l_use_cs, l_use_wl) |
|---|
| 58 | !!--------------------------------------------------------------------- |
|---|
| 59 | !! *** FUNCTION sbcblk_algo_ecmwf_init *** |
|---|
| 60 | !! |
|---|
| 61 | !! INPUT : |
|---|
| 62 | !! ------- |
|---|
| 63 | !! * l_use_cs : use the cool-skin parameterization |
|---|
| 64 | !! * l_use_wl : use the warm-layer parameterization |
|---|
| 65 | !!--------------------------------------------------------------------- |
|---|
| 66 | LOGICAL , INTENT(in) :: l_use_cs ! use the cool-skin parameterization |
|---|
| 67 | LOGICAL , INTENT(in) :: l_use_wl ! use the warm-layer parameterization |
|---|
| 68 | INTEGER :: ierr |
|---|
| 69 | !!--------------------------------------------------------------------- |
|---|
| 70 | IF( l_use_wl ) THEN |
|---|
| 71 | ierr = 0 |
|---|
| 72 | ALLOCATE ( dT_wl(jpi,jpj), Hz_wl(jpi,jpj), STAT=ierr ) |
|---|
| 73 | IF( ierr > 0 ) CALL ctl_stop( ' SBCBLK_ALGO_ECMWF_INIT => allocation of dT_wl & Hz_wl failed!' ) |
|---|
| 74 | dT_wl(:,:) = 0._wp |
|---|
| 75 | Hz_wl(:,:) = rd0 ! (rd0, constant, = 3m is default for Zeng & Beljaars) |
|---|
| 76 | ENDIF |
|---|
| 77 | IF( l_use_cs ) THEN |
|---|
| 78 | ierr = 0 |
|---|
| 79 | ALLOCATE ( dT_cs(jpi,jpj), STAT=ierr ) |
|---|
| 80 | IF( ierr > 0 ) CALL ctl_stop( ' SBCBLK_ALGO_ECMWF_INIT => allocation of dT_cs failed!' ) |
|---|
| 81 | dT_cs(:,:) = -0.25_wp ! First guess of skin correction |
|---|
| 82 | ENDIF |
|---|
| 83 | END SUBROUTINE sbcblk_algo_ecmwf_init |
|---|
| 84 | |
|---|
| 85 | |
|---|
| 86 | |
|---|
| 87 | SUBROUTINE turb_ecmwf( kt, zt, zu, T_s, t_zt, q_s, q_zt, U_zu, l_use_cs, l_use_wl, & |
|---|
| 88 | & Cd, Ch, Ce, t_zu, q_zu, Ubzu, & |
|---|
| 89 | & nb_iter, Cdn, Chn, Cen, & ! optional output |
|---|
| 90 | & Qsw, rad_lw, slp, pdT_cs, & ! optionals for cool-skin (and warm-layer) |
|---|
| 91 | & pdT_wl, pHz_wl ) ! optionals for warm-layer only |
|---|
| 92 | !!---------------------------------------------------------------------------------- |
|---|
| 93 | !! *** ROUTINE turb_ecmwf *** |
|---|
| 94 | !! |
|---|
| 95 | !! ** Purpose : Computes turbulent transfert coefficients of surface |
|---|
| 96 | !! fluxes according to IFS doc. (cycle 45r1) |
|---|
| 97 | !! If relevant (zt /= zu), adjust temperature and humidity from height zt to zu |
|---|
| 98 | !! Returns the effective bulk wind speed at zu to be used in the bulk formulas |
|---|
| 99 | !! |
|---|
| 100 | !! Applies the cool-skin warm-layer correction of the SST to T_s |
|---|
| 101 | !! if the net shortwave flux at the surface (Qsw), the downwelling longwave |
|---|
| 102 | !! radiative fluxes at the surface (rad_lw), and the sea-leve pressure (slp) |
|---|
| 103 | !! are provided as (optional) arguments! |
|---|
| 104 | !! |
|---|
| 105 | !! INPUT : |
|---|
| 106 | !! ------- |
|---|
| 107 | !! * kt : current time step (starts at 1) |
|---|
| 108 | !! * zt : height for temperature and spec. hum. of air [m] |
|---|
| 109 | !! * zu : height for wind speed (usually 10m) [m] |
|---|
| 110 | !! * t_zt : potential air temperature at zt [K] |
|---|
| 111 | !! * q_zt : specific humidity of air at zt [kg/kg] |
|---|
| 112 | !! * U_zu : scalar wind speed at zu [m/s] |
|---|
| 113 | !! * l_use_cs : use the cool-skin parameterization |
|---|
| 114 | !! * l_use_wl : use the warm-layer parameterization |
|---|
| 115 | !! |
|---|
| 116 | !! INPUT/OUTPUT: |
|---|
| 117 | !! ------------- |
|---|
| 118 | !! * T_s : always "bulk SST" as input [K] |
|---|
| 119 | !! -> unchanged "bulk SST" as output if CSWL not used [K] |
|---|
| 120 | !! -> skin temperature as output if CSWL used [K] |
|---|
| 121 | !! |
|---|
| 122 | !! * q_s : SSQ aka saturation specific humidity at temp. T_s [kg/kg] |
|---|
| 123 | !! -> doesn't need to be given a value if skin temp computed (in case l_use_cs=True or l_use_wl=True) |
|---|
| 124 | !! -> MUST be given the correct value if not computing skint temp. (in case l_use_cs=False or l_use_wl=False) |
|---|
| 125 | !! |
|---|
| 126 | !! OPTIONAL INPUT: |
|---|
| 127 | !! --------------- |
|---|
| 128 | !! * Qsw : net solar flux (after albedo) at the surface (>0) [W/m^2] |
|---|
| 129 | !! * rad_lw : downwelling longwave radiation at the surface (>0) [W/m^2] |
|---|
| 130 | !! * slp : sea-level pressure [Pa] |
|---|
| 131 | !! |
|---|
| 132 | !! OPTIONAL OUTPUT: |
|---|
| 133 | !! ---------------- |
|---|
| 134 | !! * pdT_cs : SST increment "dT" for cool-skin correction [K] |
|---|
| 135 | !! * pdT_wl : SST increment "dT" for warm-layer correction [K] |
|---|
| 136 | !! * pHz_wl : thickness of warm-layer [m] |
|---|
| 137 | !! |
|---|
| 138 | !! OUTPUT : |
|---|
| 139 | !! -------- |
|---|
| 140 | !! * Cd : drag coefficient |
|---|
| 141 | !! * Ch : sensible heat coefficient |
|---|
| 142 | !! * Ce : evaporation coefficient |
|---|
| 143 | !! * t_zu : pot. air temperature adjusted at wind height zu [K] |
|---|
| 144 | !! * q_zu : specific humidity of air // [kg/kg] |
|---|
| 145 | !! * Ubzu : bulk wind speed at zu [m/s] |
|---|
| 146 | !! |
|---|
| 147 | !! |
|---|
| 148 | !! ** Author: L. Brodeau, June 2019 / AeroBulk (https://github.com/brodeau/aerobulk/) |
|---|
| 149 | !!---------------------------------------------------------------------------------- |
|---|
| 150 | INTEGER, INTENT(in ) :: kt ! current time step |
|---|
| 151 | REAL(wp), INTENT(in ) :: zt ! height for t_zt and q_zt [m] |
|---|
| 152 | REAL(wp), INTENT(in ) :: zu ! height for U_zu [m] |
|---|
| 153 | REAL(wp), INTENT(inout), DIMENSION(jpi,jpj) :: T_s ! sea surface temperature [Kelvin] |
|---|
| 154 | REAL(wp), INTENT(in ), DIMENSION(jpi,jpj) :: t_zt ! potential air temperature [Kelvin] |
|---|
| 155 | REAL(wp), INTENT(inout), DIMENSION(jpi,jpj) :: q_s ! sea surface specific humidity [kg/kg] |
|---|
| 156 | REAL(wp), INTENT(in ), DIMENSION(jpi,jpj) :: q_zt ! specific air humidity at zt [kg/kg] |
|---|
| 157 | REAL(wp), INTENT(in ), DIMENSION(jpi,jpj) :: U_zu ! relative wind module at zu [m/s] |
|---|
| 158 | LOGICAL , INTENT(in ) :: l_use_cs ! use the cool-skin parameterization |
|---|
| 159 | LOGICAL , INTENT(in ) :: l_use_wl ! use the warm-layer parameterization |
|---|
| 160 | REAL(wp), INTENT( out), DIMENSION(jpi,jpj) :: Cd ! transfer coefficient for momentum (tau) |
|---|
| 161 | REAL(wp), INTENT( out), DIMENSION(jpi,jpj) :: Ch ! transfer coefficient for sensible heat (Q_sens) |
|---|
| 162 | REAL(wp), INTENT( out), DIMENSION(jpi,jpj) :: Ce ! transfert coefficient for evaporation (Q_lat) |
|---|
| 163 | REAL(wp), INTENT( out), DIMENSION(jpi,jpj) :: t_zu ! pot. air temp. adjusted at zu [K] |
|---|
| 164 | REAL(wp), INTENT( out), DIMENSION(jpi,jpj) :: q_zu ! spec. humidity adjusted at zu [kg/kg] |
|---|
| 165 | REAL(wp), INTENT( out), DIMENSION(jpi,jpj) :: Ubzu ! bulk wind speed at zu [m/s] |
|---|
| 166 | ! |
|---|
| 167 | INTEGER , INTENT(in ), OPTIONAL :: nb_iter ! number of iterations |
|---|
| 168 | REAL(wp), INTENT( out), OPTIONAL, DIMENSION(jpi,jpj) :: CdN |
|---|
| 169 | REAL(wp), INTENT( out), OPTIONAL, DIMENSION(jpi,jpj) :: ChN |
|---|
| 170 | REAL(wp), INTENT( out), OPTIONAL, DIMENSION(jpi,jpj) :: CeN |
|---|
| 171 | REAL(wp), INTENT(in ), OPTIONAL, DIMENSION(jpi,jpj) :: Qsw ! [W/m^2] |
|---|
| 172 | REAL(wp), INTENT(in ), OPTIONAL, DIMENSION(jpi,jpj) :: rad_lw ! [W/m^2] |
|---|
| 173 | REAL(wp), INTENT(in ), OPTIONAL, DIMENSION(jpi,jpj) :: slp ! [Pa] |
|---|
| 174 | REAL(wp), INTENT( out), OPTIONAL, DIMENSION(jpi,jpj) :: pdT_cs |
|---|
| 175 | REAL(wp), INTENT( out), OPTIONAL, DIMENSION(jpi,jpj) :: pdT_wl ! [K] |
|---|
| 176 | REAL(wp), INTENT( out), OPTIONAL, DIMENSION(jpi,jpj) :: pHz_wl ! [m] |
|---|
| 177 | ! |
|---|
| 178 | INTEGER :: nbit, jit |
|---|
| 179 | LOGICAL :: l_zt_equal_zu = .FALSE. ! if q and t are given at same height as U |
|---|
| 180 | ! |
|---|
| 181 | REAL(wp), DIMENSION(jpi,jpj) :: u_star, t_star, q_star |
|---|
| 182 | REAL(wp), DIMENSION(jpi,jpj) :: dt_zu, dq_zu |
|---|
| 183 | REAL(wp), DIMENSION(jpi,jpj) :: znu_a !: Nu_air, Viscosity of air |
|---|
| 184 | REAL(wp), DIMENSION(jpi,jpj) :: Linv !: 1/L (inverse of Monin Obukhov length... |
|---|
| 185 | REAL(wp), DIMENSION(jpi,jpj) :: z0, z0t, z0q |
|---|
| 186 | ! |
|---|
| 187 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: zsst ! to back up the initial bulk SST |
|---|
| 188 | ! |
|---|
| 189 | REAL(wp), DIMENSION(jpi,jpj) :: func_m, func_h |
|---|
| 190 | REAL(wp), DIMENSION(jpi,jpj) :: ztmp0, ztmp1, ztmp2 |
|---|
| 191 | CHARACTER(len=40), PARAMETER :: crtnm = 'turb_ecmwf@sbcblk_algo_ecmwf.F90' |
|---|
| 192 | !!---------------------------------------------------------------------------------- |
|---|
| 193 | IF( kt == nit000 ) CALL SBCBLK_ALGO_ECMWF_INIT(l_use_cs, l_use_wl) |
|---|
| 194 | |
|---|
| 195 | nbit = nb_iter0 |
|---|
| 196 | IF( PRESENT(nb_iter) ) nbit = nb_iter |
|---|
| 197 | |
|---|
| 198 | l_zt_equal_zu = ( ABS(zu - zt) < 0.01_wp ) ! testing "zu == zt" is risky with double precision |
|---|
| 199 | |
|---|
| 200 | !! Initializations for cool skin and warm layer: |
|---|
| 201 | IF( l_use_cs .AND. (.NOT.(PRESENT(Qsw) .AND. PRESENT(rad_lw) .AND. PRESENT(slp))) ) & |
|---|
| 202 | & CALL ctl_stop( '['//TRIM(crtnm)//'] => ' , 'you need to provide Qsw, rad_lw & slp to use cool-skin param!' ) |
|---|
| 203 | |
|---|
| 204 | IF( l_use_wl .AND. (.NOT.(PRESENT(Qsw) .AND. PRESENT(rad_lw) .AND. PRESENT(slp))) ) & |
|---|
| 205 | & CALL ctl_stop( '['//TRIM(crtnm)//'] => ' , 'you need to provide Qsw, rad_lw & slp to use warm-layer param!' ) |
|---|
| 206 | |
|---|
| 207 | IF( l_use_cs .OR. l_use_wl ) THEN |
|---|
| 208 | ALLOCATE ( zsst(jpi,jpj) ) |
|---|
| 209 | zsst = T_s ! backing up the bulk SST |
|---|
| 210 | IF( l_use_cs ) T_s = T_s - 0.25_wp ! First guess of correction |
|---|
| 211 | q_s = rdct_qsat_salt*q_sat(MAX(T_s, 200._wp), slp) ! First guess of q_s |
|---|
| 212 | ENDIF |
|---|
| 213 | |
|---|
| 214 | |
|---|
| 215 | ! Identical first gess as in COARE, with IFS parameter values though... |
|---|
| 216 | ! |
|---|
| 217 | !! First guess of temperature and humidity at height zu: |
|---|
| 218 | t_zu = MAX( t_zt , 180._wp ) ! who knows what's given on masked-continental regions... |
|---|
| 219 | q_zu = MAX( q_zt , 1.e-6_wp ) ! " |
|---|
| 220 | |
|---|
| 221 | !! Pot. temp. difference (and we don't want it to be 0!) |
|---|
| 222 | dt_zu = t_zu - T_s ; dt_zu = SIGN( MAX(ABS(dt_zu),1.E-6_wp), dt_zu ) |
|---|
| 223 | dq_zu = q_zu - q_s ; dq_zu = SIGN( MAX(ABS(dq_zu),1.E-9_wp), dq_zu ) |
|---|
| 224 | |
|---|
| 225 | znu_a = visc_air(t_zu) ! Air viscosity (m^2/s) at zt given from temperature in (K) |
|---|
| 226 | |
|---|
| 227 | Ubzu = SQRT(U_zu*U_zu + 0.5_wp*0.5_wp) ! initial guess for wind gustiness contribution |
|---|
| 228 | |
|---|
| 229 | ztmp0 = LOG( zu*10000._wp) ! optimization: 10000. == 1/z0 (with z0 first guess == 0.0001) |
|---|
| 230 | ztmp1 = LOG(10._wp*10000._wp) ! " " " |
|---|
| 231 | u_star = 0.035_wp*Ubzu*ztmp1/ztmp0 ! (u* = 0.035*Un10) |
|---|
| 232 | |
|---|
| 233 | IF (ln_charn) THEN ! Charnock value if wave coupling |
|---|
| 234 | z0 = charn*u_star*u_star/grav + 0.11_wp*znu_a/u_star |
|---|
| 235 | ELSE |
|---|
| 236 | z0 = charn0_ecmwf*u_star*u_star/grav + 0.11_wp*znu_a/u_star |
|---|
| 237 | ENDIF |
|---|
| 238 | z0 = MIN( MAX(ABS(z0), 1.E-9) , 1._wp ) ! (prevents FPE from stupid values from masked region later on) |
|---|
| 239 | |
|---|
| 240 | z0t = 1._wp / ( 0.1_wp*EXP(vkarmn/(0.00115/(vkarmn/ztmp1))) ) |
|---|
| 241 | z0t = MIN( MAX(ABS(z0t), 1.E-9) , 1._wp ) ! (prevents FPE from stupid values from masked region later on) |
|---|
| 242 | |
|---|
| 243 | Cd = MAX( (vkarmn/ztmp0)**2 , Cx_min ) ! first guess of Cd |
|---|
| 244 | |
|---|
| 245 | ztmp0 = vkarmn2/LOG(zt/z0t)/Cd |
|---|
| 246 | |
|---|
| 247 | ztmp2 = Ri_bulk( zu, T_s, t_zu, q_s, q_zu, Ubzu ) ! Bulk Richardson Number (BRN) |
|---|
| 248 | |
|---|
| 249 | !! First estimate of zeta_u, depending on the stability, ie sign of BRN (ztmp2): |
|---|
| 250 | ztmp1 = 0.5 + SIGN( 0.5_wp , ztmp2 ) |
|---|
| 251 | func_h = (1._wp - ztmp1) * ztmp0*ztmp2 / (1._wp - ztmp2*zi0*0.004_wp*Beta0**3/zu) & ! BRN < 0 |
|---|
| 252 | & + ztmp1 * ( ztmp0*ztmp2 + 27._wp/9._wp*ztmp2*ztmp2 ) ! BRN > 0 |
|---|
| 253 | |
|---|
| 254 | !! First guess M-O stability dependent scaling params.(u*,t*,q*) to estimate z0 and z/L |
|---|
| 255 | ztmp0 = vkarmn/(LOG(zu/z0t) - psi_h_ecmwf(func_h)) |
|---|
| 256 | |
|---|
| 257 | u_star = MAX ( Ubzu*vkarmn/(LOG(zu) - LOG(z0) - psi_m_ecmwf(func_h)) , 1.E-9 ) ! (MAX => prevents FPE from stupid values from masked region later on) |
|---|
| 258 | t_star = dt_zu*ztmp0 |
|---|
| 259 | q_star = dq_zu*ztmp0 |
|---|
| 260 | |
|---|
| 261 | ! What needs to be done if zt /= zu: |
|---|
| 262 | IF( .NOT. l_zt_equal_zu ) THEN |
|---|
| 263 | !! First update of values at zu (or zt for wind) |
|---|
| 264 | ztmp0 = psi_h_ecmwf(func_h) - psi_h_ecmwf(zt*func_h/zu) ! zt*func_h/zu == zeta_t |
|---|
| 265 | ztmp1 = LOG(zt/zu) + ztmp0 |
|---|
| 266 | t_zu = t_zt - t_star/vkarmn*ztmp1 |
|---|
| 267 | q_zu = q_zt - q_star/vkarmn*ztmp1 |
|---|
| 268 | q_zu = (0.5_wp + SIGN(0.5_wp,q_zu))*q_zu !Makes it impossible to have negative humidity : |
|---|
| 269 | ! |
|---|
| 270 | dt_zu = t_zu - T_s ; dt_zu = SIGN( MAX(ABS(dt_zu),1.E-6_wp), dt_zu ) |
|---|
| 271 | dq_zu = q_zu - q_s ; dq_zu = SIGN( MAX(ABS(dq_zu),1.E-9_wp), dq_zu ) |
|---|
| 272 | ENDIF |
|---|
| 273 | |
|---|
| 274 | |
|---|
| 275 | !! => that was same first guess as in COARE... |
|---|
| 276 | |
|---|
| 277 | |
|---|
| 278 | !! First guess of inverse of Obukov length (1/L) : |
|---|
| 279 | Linv = One_on_L( t_zu, q_zu, u_star, t_star, q_star ) |
|---|
| 280 | |
|---|
| 281 | !! Functions such as u* = Ubzu*vkarmn/func_m |
|---|
| 282 | ztmp0 = zu*Linv |
|---|
| 283 | func_m = LOG(zu) - LOG(z0) - psi_m_ecmwf(ztmp0) + psi_m_ecmwf( z0*Linv) |
|---|
| 284 | func_h = LOG(zu) - LOG(z0t) - psi_h_ecmwf(ztmp0) + psi_h_ecmwf(z0t*Linv) |
|---|
| 285 | |
|---|
| 286 | !! ITERATION BLOCK |
|---|
| 287 | DO jit = 1, nbit |
|---|
| 288 | |
|---|
| 289 | !! Bulk Richardson Number at z=zu (Eq. 3.25) |
|---|
| 290 | ztmp0 = Ri_bulk( zu, T_s, t_zu, q_s, q_zu, Ubzu ) ! Bulk Richardson Number (BRN) |
|---|
| 291 | |
|---|
| 292 | !! New estimate of the inverse of the Obukhon length (Linv == zeta/zu) : |
|---|
| 293 | Linv = ztmp0*func_m*func_m/func_h / zu ! From Eq. 3.23, Chap.3.2.3, IFS doc - Cy40r1 |
|---|
| 294 | !! Note: it is slightly different that the L we would get with the usual |
|---|
| 295 | Linv = SIGN( MIN(ABS(Linv),200._wp), Linv ) ! (prevent FPE from stupid values from masked region later on...) |
|---|
| 296 | |
|---|
| 297 | !! Update func_m with new Linv: |
|---|
| 298 | 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! |
|---|
| 299 | |
|---|
| 300 | !! Need to update roughness lengthes: |
|---|
| 301 | u_star = Ubzu*vkarmn/func_m |
|---|
| 302 | ztmp2 = u_star*u_star |
|---|
| 303 | ztmp1 = znu_a/u_star |
|---|
| 304 | IF (ln_charn) THEN ! Charnock value if wave coupling |
|---|
| 305 | z0 = MIN( ABS( alpha_M*ztmp1 + charn*ztmp2/grav ) , 0.001_wp) |
|---|
| 306 | ELSE |
|---|
| 307 | z0 = MIN( ABS( alpha_M*ztmp1 + charn0_ecmwf*ztmp2/grav ) , 0.001_wp) |
|---|
| 308 | ENDIF |
|---|
| 309 | z0 = MIN( ABS( alpha_M*ztmp1 + charn0_ecmwf*ztmp2/grav ) , 0.001_wp) |
|---|
| 310 | z0t = MIN( ABS( alpha_H*ztmp1 ) , 0.001_wp) ! eq.3.26, Chap.3, p.34, IFS doc - Cy31r1 |
|---|
| 311 | z0q = MIN( ABS( alpha_Q*ztmp1 ) , 0.001_wp) |
|---|
| 312 | |
|---|
| 313 | !! 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) |
|---|
| 314 | 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) |
|---|
| 315 | !! ! Only true when unstable (L<0) => when ztmp0 < 0 => explains "-" before zi0 |
|---|
| 316 | Ubzu = MAX(SQRT(U_zu*U_zu + ztmp2), 0.2_wp) ! include gustiness in bulk wind speed |
|---|
| 317 | ! => 0.2 prevents Ubzu to be 0 in stable case when U_zu=0. |
|---|
| 318 | |
|---|
| 319 | |
|---|
| 320 | !! Need to update "theta" and "q" at zu in case they are given at different heights |
|---|
| 321 | !! as well the air-sea differences: |
|---|
| 322 | IF( .NOT. l_zt_equal_zu ) THEN |
|---|
| 323 | !! Arrays func_m and func_h are free for a while so using them as temporary arrays... |
|---|
| 324 | func_h = psi_h_ecmwf(zu*Linv) ! temporary array !!! |
|---|
| 325 | func_m = psi_h_ecmwf(zt*Linv) ! temporary array !!! |
|---|
| 326 | |
|---|
| 327 | ztmp2 = psi_h_ecmwf(z0t*Linv) |
|---|
| 328 | ztmp0 = func_h - ztmp2 |
|---|
| 329 | ztmp1 = vkarmn/(LOG(zu) - LOG(z0t) - ztmp0) |
|---|
| 330 | t_star = dt_zu*ztmp1 |
|---|
| 331 | ztmp2 = ztmp0 - func_m + ztmp2 |
|---|
| 332 | ztmp1 = LOG(zt/zu) + ztmp2 |
|---|
| 333 | t_zu = t_zt - t_star/vkarmn*ztmp1 |
|---|
| 334 | |
|---|
| 335 | ztmp2 = psi_h_ecmwf(z0q*Linv) |
|---|
| 336 | ztmp0 = func_h - ztmp2 |
|---|
| 337 | ztmp1 = vkarmn/(LOG(zu) - LOG(z0q) - ztmp0) |
|---|
| 338 | q_star = dq_zu*ztmp1 |
|---|
| 339 | ztmp2 = ztmp0 - func_m + ztmp2 |
|---|
| 340 | ztmp1 = LOG(zt/zu) + ztmp2 |
|---|
| 341 | q_zu = q_zt - q_star/vkarmn*ztmp1 |
|---|
| 342 | ENDIF |
|---|
| 343 | |
|---|
| 344 | !! Updating because of updated z0 and z0t and new Linv... |
|---|
| 345 | ztmp0 = zu*Linv |
|---|
| 346 | func_m = log(zu) - LOG(z0 ) - psi_m_ecmwf(ztmp0) + psi_m_ecmwf(z0 *Linv) |
|---|
| 347 | func_h = log(zu) - LOG(z0t) - psi_h_ecmwf(ztmp0) + psi_h_ecmwf(z0t*Linv) |
|---|
| 348 | |
|---|
| 349 | |
|---|
| 350 | IF( l_use_cs ) THEN |
|---|
| 351 | !! Cool-skin contribution |
|---|
| 352 | |
|---|
| 353 | CALL UPDATE_QNSOL_TAU( zu, T_s, q_s, t_zu, q_zu, u_star, t_star, q_star, U_zu, Ubzu, slp, rad_lw, & |
|---|
| 354 | & ztmp1, ztmp0, Qlat=ztmp2) ! Qnsol -> ztmp1 / Tau -> ztmp0 |
|---|
| 355 | |
|---|
| 356 | CALL CS_ECMWF( Qsw, ztmp1, u_star, zsst ) ! Qnsol -> ztmp1 |
|---|
| 357 | |
|---|
| 358 | T_s(:,:) = zsst(:,:) + dT_cs(:,:)*tmask(:,:,1) |
|---|
| 359 | IF( l_use_wl ) T_s(:,:) = T_s(:,:) + dT_wl(:,:)*tmask(:,:,1) |
|---|
| 360 | q_s(:,:) = rdct_qsat_salt*q_sat(MAX(T_s(:,:), 200._wp), slp(:,:)) |
|---|
| 361 | |
|---|
| 362 | ENDIF |
|---|
| 363 | |
|---|
| 364 | IF( l_use_wl ) THEN |
|---|
| 365 | !! Warm-layer contribution |
|---|
| 366 | CALL UPDATE_QNSOL_TAU( zu, T_s, q_s, t_zu, q_zu, u_star, t_star, q_star, U_zu, Ubzu, slp, rad_lw, & |
|---|
| 367 | & ztmp1, ztmp2) ! Qnsol -> ztmp1 / Tau -> ztmp2 |
|---|
| 368 | CALL WL_ECMWF( Qsw, ztmp1, u_star, zsst ) |
|---|
| 369 | !! Updating T_s and q_s !!! |
|---|
| 370 | T_s(:,:) = zsst(:,:) + dT_wl(:,:)*tmask(:,:,1) ! |
|---|
| 371 | IF( l_use_cs ) T_s(:,:) = T_s(:,:) + dT_cs(:,:)*tmask(:,:,1) |
|---|
| 372 | q_s(:,:) = rdct_qsat_salt*q_sat(MAX(T_s(:,:), 200._wp), slp(:,:)) |
|---|
| 373 | ENDIF |
|---|
| 374 | |
|---|
| 375 | IF( l_use_cs .OR. l_use_wl .OR. (.NOT. l_zt_equal_zu) ) THEN |
|---|
| 376 | dt_zu = t_zu - T_s ; dt_zu = SIGN( MAX(ABS(dt_zu),1.E-6_wp), dt_zu ) |
|---|
| 377 | dq_zu = q_zu - q_s ; dq_zu = SIGN( MAX(ABS(dq_zu),1.E-9_wp), dq_zu ) |
|---|
| 378 | ENDIF |
|---|
| 379 | |
|---|
| 380 | END DO !DO jit = 1, nbit |
|---|
| 381 | |
|---|
| 382 | Cd = MAX( vkarmn2/(func_m*func_m) , Cx_min ) |
|---|
| 383 | Ch = MAX( vkarmn2/(func_m*func_h) , Cx_min ) |
|---|
| 384 | ztmp2 = LOG(zu/z0q) - psi_h_ecmwf(zu*Linv) + psi_h_ecmwf(z0q*Linv) ! func_q |
|---|
| 385 | Ce = MAX( vkarmn2/(func_m*ztmp2) , Cx_min ) |
|---|
| 386 | |
|---|
| 387 | IF(PRESENT(Cdn)) Cdn = MAX( vkarmn2 / (LOG(zu/z0 )*LOG(zu/z0 )) , Cx_min ) |
|---|
| 388 | IF(PRESENT(Chn)) Chn = MAX( vkarmn2 / (LOG(zu/z0t)*LOG(zu/z0t)) , Cx_min ) |
|---|
| 389 | IF(PRESENT(Cen)) Cen = MAX( vkarmn2 / (LOG(zu/z0q)*LOG(zu/z0q)) , Cx_min ) |
|---|
| 390 | |
|---|
| 391 | IF( l_use_cs .AND. PRESENT(pdT_cs) ) pdT_cs = dT_cs |
|---|
| 392 | IF( l_use_wl .AND. PRESENT(pdT_wl) ) pdT_wl = dT_wl |
|---|
| 393 | IF( l_use_wl .AND. PRESENT(pHz_wl) ) pHz_wl = Hz_wl |
|---|
| 394 | |
|---|
| 395 | IF( l_use_cs .OR. l_use_wl ) DEALLOCATE ( zsst ) |
|---|
| 396 | |
|---|
| 397 | END SUBROUTINE turb_ecmwf |
|---|
| 398 | |
|---|
| 399 | |
|---|
| 400 | FUNCTION psi_m_ecmwf( pzeta ) |
|---|
| 401 | !!---------------------------------------------------------------------------------- |
|---|
| 402 | !! Universal profile stability function for momentum |
|---|
| 403 | !! ECMWF / as in IFS cy31r1 documentation, available online |
|---|
| 404 | !! at ecmwf.int |
|---|
| 405 | !! |
|---|
| 406 | !! pzeta : stability paramenter, z/L where z is altitude measurement |
|---|
| 407 | !! and L is M-O length |
|---|
| 408 | !! |
|---|
| 409 | !! ** Author: L. Brodeau, June 2016 / AeroBulk (https://github.com/brodeau/aerobulk/) |
|---|
| 410 | !!---------------------------------------------------------------------------------- |
|---|
| 411 | REAL(wp), DIMENSION(jpi,jpj) :: psi_m_ecmwf |
|---|
| 412 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: pzeta |
|---|
| 413 | ! |
|---|
| 414 | INTEGER :: ji, jj ! dummy loop indices |
|---|
| 415 | REAL(wp) :: zta, zx2, zx, ztmp, zpsi_unst, zpsi_stab, zstab, zc |
|---|
| 416 | !!---------------------------------------------------------------------------------- |
|---|
| 417 | zc = 5._wp/0.35_wp |
|---|
| 418 | DO_2D( nn_hls, nn_hls, nn_hls, nn_hls ) |
|---|
| 419 | ! |
|---|
| 420 | zta = MIN( pzeta(ji,jj) , 5._wp ) !! Very stable conditions (L positif and big!): |
|---|
| 421 | |
|---|
| 422 | ! *** Unstable (Paulson 1970) [eq.3.20, Chap.3, p.33, IFS doc - Cy31r1] : |
|---|
| 423 | zx2 = SQRT( ABS(1._wp - 16._wp*zta) ) ! (1 - 16z)^0.5 |
|---|
| 424 | zx = SQRT(zx2) ! (1 - 16z)^0.25 |
|---|
| 425 | ztmp = 1._wp + zx |
|---|
| 426 | zpsi_unst = LOG( 0.125_wp*ztmp*ztmp*(1._wp + zx2) ) - 2._wp*ATAN( zx ) + 0.5_wp*rpi |
|---|
| 427 | |
|---|
| 428 | ! *** Stable [eq.3.22, Chap.3, p.33, IFS doc - Cy31r1] : |
|---|
| 429 | zpsi_stab = -2._wp/3._wp*(zta - zc)*EXP(-0.35_wp*zta) & |
|---|
| 430 | & - zta - 2._wp/3._wp*zc |
|---|
| 431 | ! |
|---|
| 432 | zstab = 0.5_wp + SIGN(0.5_wp, zta) ! zta > 0 => zstab = 1 |
|---|
| 433 | ! |
|---|
| 434 | psi_m_ecmwf(ji,jj) = zstab * zpsi_stab & ! (zta > 0) Stable |
|---|
| 435 | & + (1._wp - zstab) * zpsi_unst ! (zta < 0) Unstable |
|---|
| 436 | ! |
|---|
| 437 | END_2D |
|---|
| 438 | END FUNCTION psi_m_ecmwf |
|---|
| 439 | |
|---|
| 440 | |
|---|
| 441 | FUNCTION psi_h_ecmwf( pzeta ) |
|---|
| 442 | !!---------------------------------------------------------------------------------- |
|---|
| 443 | !! Universal profile stability function for temperature and humidity |
|---|
| 444 | !! ECMWF / as in IFS cy31r1 documentation, available online |
|---|
| 445 | !! at ecmwf.int |
|---|
| 446 | !! |
|---|
| 447 | !! pzeta : stability paramenter, z/L where z is altitude measurement |
|---|
| 448 | !! and L is M-O length |
|---|
| 449 | !! |
|---|
| 450 | !! ** Author: L. Brodeau, June 2016 / AeroBulk (https://github.com/brodeau/aerobulk/) |
|---|
| 451 | !!---------------------------------------------------------------------------------- |
|---|
| 452 | REAL(wp), DIMENSION(jpi,jpj) :: psi_h_ecmwf |
|---|
| 453 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: pzeta |
|---|
| 454 | ! |
|---|
| 455 | INTEGER :: ji, jj ! dummy loop indices |
|---|
| 456 | REAL(wp) :: zta, zx2, zpsi_unst, zpsi_stab, zstab, zc |
|---|
| 457 | !!---------------------------------------------------------------------------------- |
|---|
| 458 | zc = 5._wp/0.35_wp |
|---|
| 459 | ! |
|---|
| 460 | DO_2D( nn_hls, nn_hls, nn_hls, nn_hls ) |
|---|
| 461 | ! |
|---|
| 462 | zta = MIN(pzeta(ji,jj) , 5._wp) ! Very stable conditions (L positif and big!): |
|---|
| 463 | ! |
|---|
| 464 | ! *** Unstable (Paulson 1970) [eq.3.20, Chap.3, p.33, IFS doc - Cy31r1] : |
|---|
| 465 | zx2 = SQRT( ABS(1._wp - 16._wp*zta) ) ! (1 -16z)^0.5 |
|---|
| 466 | zpsi_unst = 2._wp*LOG( 0.5_wp*(1._wp + zx2) ) |
|---|
| 467 | ! |
|---|
| 468 | ! *** Stable [eq.3.22, Chap.3, p.33, IFS doc - Cy31r1] : |
|---|
| 469 | zpsi_stab = -2._wp/3._wp*(zta - zc)*EXP(-0.35_wp*zta) & |
|---|
| 470 | & - ABS(1._wp + 2._wp/3._wp*zta)**1.5_wp - 2._wp/3._wp*zc + 1._wp |
|---|
| 471 | ! |
|---|
| 472 | ! LB: added ABS() to avoid NaN values when unstable, which contaminates the unstable solution... |
|---|
| 473 | ! |
|---|
| 474 | zstab = 0.5_wp + SIGN(0.5_wp, zta) ! zta > 0 => zstab = 1 |
|---|
| 475 | ! |
|---|
| 476 | psi_h_ecmwf(ji,jj) = zstab * zpsi_stab & ! (zta > 0) Stable |
|---|
| 477 | & + (1._wp - zstab) * zpsi_unst ! (zta < 0) Unstable |
|---|
| 478 | ! |
|---|
| 479 | END_2D |
|---|
| 480 | END FUNCTION psi_h_ecmwf |
|---|
| 481 | |
|---|
| 482 | |
|---|
| 483 | !!====================================================================== |
|---|
| 484 | END MODULE sbcblk_algo_ecmwf |
|---|
