1 | MODULE sbcblk_algo_coare3p0 |
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2 | !!====================================================================== |
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3 | !! *** MODULE sbcblk_algo_coare3p0 *** |
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4 | !! |
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5 | !! After Fairall et al, 2003 |
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6 | !! Computes: |
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7 | !! * bulk transfer coefficients C_D, C_E and C_H |
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8 | !! * air temp. and spec. hum. adjusted from zt (2m) to zu (10m) if needed |
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9 | !! * the effective bulk wind speed at 10m U_blk |
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10 | !! => all these are used in bulk formulas in sbcblk.F90 |
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11 | !! |
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12 | !! Routine turb_coare3p0 maintained and developed in AeroBulk |
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13 | !! (https://github.com/brodeau/aerobulk) |
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14 | !! |
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15 | !! ** Author: L. Brodeau, June 2019 / AeroBulk (https://github.com/brodeau/aerobulk) |
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16 | !!---------------------------------------------------------------------- |
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17 | !! History : 4.0 ! 2016-02 (L.Brodeau) Original code |
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18 | !!---------------------------------------------------------------------- |
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19 | |
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20 | !!---------------------------------------------------------------------- |
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21 | !! turb_coare3p0 : computes the bulk turbulent transfer coefficients |
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22 | !! adjusts t_air and q_air from zt to zu m |
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23 | !! returns the effective bulk wind speed at 10m |
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24 | !!---------------------------------------------------------------------- |
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25 | USE oce ! ocean dynamics and tracers |
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26 | USE dom_oce ! ocean space and time domain |
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27 | USE phycst ! physical constants |
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28 | USE iom ! I/O manager library |
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29 | USE lib_mpp ! distribued memory computing library |
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30 | USE in_out_manager ! I/O manager |
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31 | USE prtctl ! Print control |
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32 | USE sbcwave, ONLY : cdn_wave ! wave module |
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33 | #if defined key_si3 || defined key_cice |
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34 | USE sbc_ice ! Surface boundary condition: ice fields |
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35 | #endif |
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36 | USE lib_fortran ! to use key_nosignedzero |
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37 | |
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38 | USE sbc_oce ! Surface boundary condition: ocean fields |
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39 | USE sbcblk_phy ! all thermodynamics functions, rho_air, q_sat, etc... !LB |
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40 | USE sbcblk_skin_coare ! cool-skin/warm layer scheme (CSWL_ECMWF) !LB |
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41 | |
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42 | IMPLICIT NONE |
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43 | PRIVATE |
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44 | |
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45 | PUBLIC :: SBCBLK_ALGO_COARE3P0_INIT, TURB_COARE3P0 |
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46 | !! * Substitutions |
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47 | # include "do_loop_substitute.h90" |
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48 | |
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49 | !! COARE own values for given constants: |
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50 | REAL(wp), PARAMETER :: zi0 = 600._wp ! scale height of the atmospheric boundary layer... |
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51 | REAL(wp), PARAMETER :: Beta0 = 1.25_wp ! gustiness parameter |
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52 | |
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53 | INTEGER , PARAMETER :: nb_itt = 10 ! number of itterations |
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54 | |
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55 | !!---------------------------------------------------------------------- |
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56 | CONTAINS |
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57 | |
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58 | |
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59 | SUBROUTINE sbcblk_algo_coare3p0_init(l_use_cs, l_use_wl) |
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60 | !!--------------------------------------------------------------------- |
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61 | !! *** FUNCTION sbcblk_algo_coare3p0_init *** |
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62 | !! |
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63 | !! INPUT : |
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64 | !! ------- |
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65 | !! * l_use_cs : use the cool-skin parameterization |
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66 | !! * l_use_wl : use the warm-layer parameterization |
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67 | !!--------------------------------------------------------------------- |
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68 | LOGICAL , INTENT(in) :: l_use_cs ! use the cool-skin parameterization |
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69 | LOGICAL , INTENT(in) :: l_use_wl ! use the warm-layer parameterization |
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70 | INTEGER :: ierr |
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71 | !!--------------------------------------------------------------------- |
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72 | IF( l_use_wl ) THEN |
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73 | ierr = 0 |
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74 | ALLOCATE ( Tau_ac(jpi,jpj) , Qnt_ac(jpi,jpj), dT_wl(jpi,jpj), Hz_wl(jpi,jpj), STAT=ierr ) |
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75 | IF( ierr > 0 ) CALL ctl_stop( ' SBCBLK_ALGO_COARE3P0_INIT => allocation of Tau_ac, Qnt_ac, dT_wl & Hz_wl failed!' ) |
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76 | Tau_ac(:,:) = 0._wp |
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77 | Qnt_ac(:,:) = 0._wp |
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78 | dT_wl(:,:) = 0._wp |
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79 | Hz_wl(:,:) = Hwl_max |
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80 | ENDIF |
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81 | IF( l_use_cs ) THEN |
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82 | ierr = 0 |
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83 | ALLOCATE ( dT_cs(jpi,jpj), STAT=ierr ) |
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84 | IF( ierr > 0 ) CALL ctl_stop( ' SBCBLK_ALGO_COARE3P0_INIT => allocation of dT_cs failed!' ) |
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85 | dT_cs(:,:) = -0.25_wp ! First guess of skin correction |
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86 | ENDIF |
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87 | END SUBROUTINE sbcblk_algo_coare3p0_init |
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88 | |
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89 | |
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90 | |
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91 | SUBROUTINE turb_coare3p0( kt, zt, zu, T_s, t_zt, q_s, q_zt, U_zu, l_use_cs, l_use_wl, & |
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92 | & Cd, Ch, Ce, t_zu, q_zu, U_blk, & |
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93 | & Cdn, Chn, Cen, & |
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94 | & Qsw, rad_lw, slp, pdT_cs, & ! optionals for cool-skin (and warm-layer) |
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95 | & pdT_wl, pHz_wl ) ! optionals for warm-layer only |
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96 | !!---------------------------------------------------------------------- |
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97 | !! *** ROUTINE turb_coare3p0 *** |
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98 | !! |
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99 | !! ** Purpose : Computes turbulent transfert coefficients of surface |
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100 | !! fluxes according to Fairall et al. (2003) |
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101 | !! If relevant (zt /= zu), adjust temperature and humidity from height zt to zu |
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102 | !! Returns the effective bulk wind speed at zu to be used in the bulk formulas |
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103 | !! |
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104 | !! Applies the cool-skin warm-layer correction of the SST to T_s |
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105 | !! if the net shortwave flux at the surface (Qsw), the downwelling longwave |
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106 | !! radiative fluxes at the surface (rad_lw), and the sea-leve pressure (slp) |
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107 | !! are provided as (optional) arguments! |
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108 | !! |
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109 | !! INPUT : |
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110 | !! ------- |
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111 | !! * kt : current time step (starts at 1) |
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112 | !! * zt : height for temperature and spec. hum. of air [m] |
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113 | !! * zu : height for wind speed (usually 10m) [m] |
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114 | !! * t_zt : potential air temperature at zt [K] |
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115 | !! * q_zt : specific humidity of air at zt [kg/kg] |
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116 | !! * U_zu : scalar wind speed at zu [m/s] |
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117 | !! * l_use_cs : use the cool-skin parameterization |
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118 | !! * l_use_wl : use the warm-layer parameterization |
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119 | !! |
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120 | !! INPUT/OUTPUT: |
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121 | !! ------------- |
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122 | !! * T_s : always "bulk SST" as input [K] |
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123 | !! -> unchanged "bulk SST" as output if CSWL not used [K] |
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124 | !! -> skin temperature as output if CSWL used [K] |
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125 | !! |
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126 | !! * q_s : SSQ aka saturation specific humidity at temp. T_s [kg/kg] |
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127 | !! -> 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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128 | !! -> 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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129 | !! |
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130 | !! OPTIONAL INPUT: |
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131 | !! --------------- |
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132 | !! * Qsw : net solar flux (after albedo) at the surface (>0) [W/m^2] |
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133 | !! * rad_lw : downwelling longwave radiation at the surface (>0) [W/m^2] |
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134 | !! * slp : sea-level pressure [Pa] |
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135 | !! |
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136 | !! OPTIONAL OUTPUT: |
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137 | !! ---------------- |
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138 | !! * pdT_cs : SST increment "dT" for cool-skin correction [K] |
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139 | !! * pdT_wl : SST increment "dT" for warm-layer correction [K] |
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140 | !! * pHz_wl : thickness of warm-layer [m] |
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141 | !! |
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142 | !! OUTPUT : |
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143 | !! -------- |
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144 | !! * Cd : drag coefficient |
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145 | !! * Ch : sensible heat coefficient |
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146 | !! * Ce : evaporation coefficient |
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147 | !! * t_zu : pot. air temperature adjusted at wind height zu [K] |
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148 | !! * q_zu : specific humidity of air // [kg/kg] |
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149 | !! * U_blk : bulk wind speed at zu [m/s] |
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150 | !! |
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151 | !! |
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152 | !! ** Author: L. Brodeau, June 2019 / AeroBulk (https://github.com/brodeau/aerobulk/) |
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153 | !!---------------------------------------------------------------------------------- |
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154 | INTEGER, INTENT(in ) :: kt ! current time step |
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155 | REAL(wp), INTENT(in ) :: zt ! height for t_zt and q_zt [m] |
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156 | REAL(wp), INTENT(in ) :: zu ! height for U_zu [m] |
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157 | REAL(wp), INTENT(inout), DIMENSION(jpi,jpj) :: T_s ! sea surface temperature [Kelvin] |
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158 | REAL(wp), INTENT(in ), DIMENSION(jpi,jpj) :: t_zt ! potential air temperature [Kelvin] |
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159 | REAL(wp), INTENT(inout), DIMENSION(jpi,jpj) :: q_s ! sea surface specific humidity [kg/kg] |
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160 | REAL(wp), INTENT(in ), DIMENSION(jpi,jpj) :: q_zt ! specific air humidity at zt [kg/kg] |
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161 | REAL(wp), INTENT(in ), DIMENSION(jpi,jpj) :: U_zu ! relative wind module at zu [m/s] |
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162 | LOGICAL , INTENT(in ) :: l_use_cs ! use the cool-skin parameterization |
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163 | LOGICAL , INTENT(in ) :: l_use_wl ! use the warm-layer parameterization |
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164 | REAL(wp), INTENT( out), DIMENSION(jpi,jpj) :: Cd ! transfer coefficient for momentum (tau) |
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165 | REAL(wp), INTENT( out), DIMENSION(jpi,jpj) :: Ch ! transfer coefficient for sensible heat (Q_sens) |
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166 | REAL(wp), INTENT( out), DIMENSION(jpi,jpj) :: Ce ! transfert coefficient for evaporation (Q_lat) |
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167 | REAL(wp), INTENT( out), DIMENSION(jpi,jpj) :: t_zu ! pot. air temp. adjusted at zu [K] |
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168 | REAL(wp), INTENT( out), DIMENSION(jpi,jpj) :: q_zu ! spec. humidity adjusted at zu [kg/kg] |
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169 | REAL(wp), INTENT( out), DIMENSION(jpi,jpj) :: U_blk ! bulk wind speed at zu [m/s] |
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170 | REAL(wp), INTENT( out), DIMENSION(jpi,jpj) :: Cdn, Chn, Cen ! neutral transfer coefficients |
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171 | ! |
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172 | REAL(wp), INTENT(in ), OPTIONAL, DIMENSION(jpi,jpj) :: Qsw ! [W/m^2] |
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173 | REAL(wp), INTENT(in ), OPTIONAL, DIMENSION(jpi,jpj) :: rad_lw ! [W/m^2] |
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174 | REAL(wp), INTENT(in ), OPTIONAL, DIMENSION(jpi,jpj) :: slp ! [Pa] |
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175 | REAL(wp), INTENT( out), OPTIONAL, DIMENSION(jpi,jpj) :: pdT_cs |
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176 | REAL(wp), INTENT( out), OPTIONAL, DIMENSION(jpi,jpj) :: pdT_wl ! [K] |
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177 | REAL(wp), INTENT( out), OPTIONAL, DIMENSION(jpi,jpj) :: pHz_wl ! [m] |
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178 | ! |
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179 | INTEGER :: j_itt |
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180 | LOGICAL :: l_zt_equal_zu = .FALSE. ! if q and t are given at same height as U |
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181 | ! |
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182 | REAL(wp), DIMENSION(jpi,jpj) :: u_star, t_star, q_star |
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183 | REAL(wp), DIMENSION(jpi,jpj) :: dt_zu, dq_zu |
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184 | REAL(wp), DIMENSION(jpi,jpj) :: znu_a !: Nu_air, Viscosity of air |
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185 | REAL(wp), DIMENSION(jpi,jpj) :: z0, z0t |
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186 | REAL(wp), DIMENSION(jpi,jpj) :: zeta_u ! stability parameter at height zu |
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187 | REAL(wp), DIMENSION(jpi,jpj) :: ztmp0, ztmp1, ztmp2 |
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188 | ! |
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189 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: zeta_t ! stability parameter at height zt |
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190 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: zsst ! to back up the initial bulk SST |
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191 | ! |
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192 | CHARACTER(len=40), PARAMETER :: crtnm = 'turb_coare3p0@sbcblk_algo_coare3p0' |
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193 | !!---------------------------------------------------------------------------------- |
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194 | IF( kt == nit000 ) CALL SBCBLK_ALGO_COARE3P0_INIT(l_use_cs, l_use_wl) |
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195 | |
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196 | l_zt_equal_zu = ( ABS(zu - zt) < 0.01_wp ) ! testing "zu == zt" is risky with double precision |
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197 | IF( .NOT. l_zt_equal_zu ) ALLOCATE( zeta_t(jpi,jpj) ) |
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198 | |
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199 | !! Initializations for cool skin and warm layer: |
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200 | IF( l_use_cs .AND. (.NOT.(PRESENT(Qsw) .AND. PRESENT(rad_lw) .AND. PRESENT(slp))) ) & |
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201 | & CALL ctl_stop( '['//TRIM(crtnm)//'] => ' , 'you need to provide Qsw, rad_lw & slp to use cool-skin param!' ) |
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202 | |
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203 | IF( l_use_wl .AND. (.NOT.(PRESENT(Qsw) .AND. PRESENT(rad_lw) .AND. PRESENT(slp))) ) & |
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204 | & CALL ctl_stop( '['//TRIM(crtnm)//'] => ' , 'you need to provide Qsw, rad_lw & slp to use warm-layer param!' ) |
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205 | |
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206 | IF( l_use_cs .OR. l_use_wl ) THEN |
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207 | ALLOCATE ( zsst(jpi,jpj) ) |
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208 | zsst = T_s ! backing up the bulk SST |
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209 | IF( l_use_cs ) T_s = T_s - 0.25_wp ! First guess of correction |
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210 | q_s = rdct_qsat_salt*q_sat(MAX(T_s, 200._wp), slp) ! First guess of q_s |
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211 | ENDIF |
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212 | |
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213 | |
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214 | !! First guess of temperature and humidity at height zu: |
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215 | t_zu = MAX( t_zt , 180._wp ) ! who knows what's given on masked-continental regions... |
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216 | q_zu = MAX( q_zt , 1.e-6_wp ) ! " |
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217 | |
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218 | !! Pot. temp. difference (and we don't want it to be 0!) |
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219 | dt_zu = t_zu - T_s ; dt_zu = SIGN( MAX(ABS(dt_zu),1.E-6_wp), dt_zu ) |
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220 | dq_zu = q_zu - q_s ; dq_zu = SIGN( MAX(ABS(dq_zu),1.E-9_wp), dq_zu ) |
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221 | |
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222 | znu_a = visc_air(t_zu) ! Air viscosity (m^2/s) at zt given from temperature in (K) |
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223 | |
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224 | U_blk = SQRT(U_zu*U_zu + 0.5_wp*0.5_wp) ! initial guess for wind gustiness contribution |
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225 | |
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226 | ztmp0 = LOG( zu*10000._wp) ! optimization: 10000. == 1/z0 (with z0 first guess == 0.0001) |
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227 | ztmp1 = LOG(10._wp*10000._wp) ! " " " |
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228 | u_star = 0.035_wp*U_blk*ztmp1/ztmp0 ! (u* = 0.035*Un10) |
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229 | |
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230 | z0 = alfa_charn_3p0(U_zu)*u_star*u_star/grav + 0.11_wp*znu_a/u_star |
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231 | z0 = MIN( MAX(ABS(z0), 1.E-9) , 1._wp ) ! (prevents FPE from stupid values from masked region later on) |
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232 | |
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233 | z0t = 1._wp / ( 0.1_wp*EXP(vkarmn/(0.00115/(vkarmn/ztmp1))) ) |
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234 | z0t = MIN( MAX(ABS(z0t), 1.E-9) , 1._wp ) ! (prevents FPE from stupid values from masked region later on) |
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235 | |
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236 | Cd = (vkarmn/ztmp0)**2 ! first guess of Cd |
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237 | |
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238 | ztmp0 = vkarmn*vkarmn/LOG(zt/z0t)/Cd |
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239 | |
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240 | ztmp2 = Ri_bulk( zu, T_s, t_zu, q_s, q_zu, U_blk ) ! Bulk Richardson Number (BRN) |
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241 | |
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242 | !! First estimate of zeta_u, depending on the stability, ie sign of BRN (ztmp2): |
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243 | ztmp1 = 0.5 + SIGN( 0.5_wp , ztmp2 ) |
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244 | ztmp0 = ztmp0*ztmp2 |
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245 | zeta_u = (1._wp-ztmp1) * (ztmp0/(1._wp+ztmp2/(-zu/(zi0*0.004_wp*Beta0**3)))) & ! BRN < 0 |
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246 | & + ztmp1 * (ztmp0*(1._wp + 27._wp/9._wp*ztmp2/ztmp0)) ! BRN > 0 |
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247 | !#LB: should make sure that the "ztmp0" of "27./9.*ztmp2/ztmp0" is "ztmp0*ztmp2" and not "ztmp0==vkarmn*vkarmn/LOG(zt/z0t)/Cd" ! |
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248 | |
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249 | !! First guess M-O stability dependent scaling params.(u*,t*,q*) to estimate z0 and z/L |
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250 | ztmp0 = vkarmn/(LOG(zu/z0t) - psi_h_coare(zeta_u)) |
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251 | |
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252 | u_star = MAX ( U_blk*vkarmn/(LOG(zu) - LOG(z0) - psi_m_coare(zeta_u)) , 1.E-9 ) ! (MAX => prevents FPE from stupid values from masked region later on) |
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253 | t_star = dt_zu*ztmp0 |
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254 | q_star = dq_zu*ztmp0 |
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255 | |
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256 | ! What needs to be done if zt /= zu: |
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257 | IF( .NOT. l_zt_equal_zu ) THEN |
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258 | !! First update of values at zu (or zt for wind) |
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259 | zeta_t = zt*zeta_u/zu |
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260 | ztmp0 = psi_h_coare(zeta_u) - psi_h_coare(zeta_t) |
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261 | ztmp1 = LOG(zt/zu) + ztmp0 |
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262 | t_zu = t_zt - t_star/vkarmn*ztmp1 |
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263 | q_zu = q_zt - q_star/vkarmn*ztmp1 |
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264 | q_zu = (0.5_wp + SIGN(0.5_wp,q_zu))*q_zu !Makes it impossible to have negative humidity : |
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265 | ! |
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266 | dt_zu = t_zu - T_s ; dt_zu = SIGN( MAX(ABS(dt_zu),1.E-6_wp), dt_zu ) |
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267 | dq_zu = q_zu - q_s ; dq_zu = SIGN( MAX(ABS(dq_zu),1.E-9_wp), dq_zu ) |
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268 | ENDIF |
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269 | |
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270 | !! ITERATION BLOCK |
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271 | DO j_itt = 1, nb_itt |
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272 | |
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273 | !!Inverse of Monin-Obukov length (1/L) : |
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274 | ztmp0 = One_on_L(t_zu, q_zu, u_star, t_star, q_star) ! 1/L == 1/[Monin-Obukhov length] |
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275 | ztmp0 = SIGN( MIN(ABS(ztmp0),200._wp), ztmp0 ) ! (prevents FPE from stupid values from masked region later on...) |
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276 | |
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277 | ztmp1 = u_star*u_star ! u*^2 |
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278 | |
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279 | !! Update wind at zu with convection-related wind gustiness in unstable conditions (Fairall et al. 2003, Eq.8): |
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280 | ztmp2 = Beta0*Beta0*ztmp1*(MAX(-zi0*ztmp0/vkarmn,0._wp))**(2._wp/3._wp) ! square of wind gustiness contribution, ztmp2 == Ug^2 |
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281 | !! ! Only true when unstable (L<0) => when ztmp0 < 0 => explains "-" before zi0 |
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282 | U_blk = MAX(SQRT(U_zu*U_zu + ztmp2), 0.2_wp) ! include gustiness in bulk wind speed |
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283 | ! => 0.2 prevents U_blk to be 0 in stable case when U_zu=0. |
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284 | |
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285 | !! Stability parameters: |
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286 | zeta_u = zu*ztmp0 |
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287 | zeta_u = SIGN( MIN(ABS(zeta_u),50.0_wp), zeta_u ) |
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288 | IF( .NOT. l_zt_equal_zu ) THEN |
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289 | zeta_t = zt*ztmp0 |
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290 | zeta_t = SIGN( MIN(ABS(zeta_t),50.0_wp), zeta_t ) |
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291 | ENDIF |
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292 | |
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293 | !! Adjustment the wind at 10m (not needed in the current algo form): |
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294 | !IF( zu \= 10._wp ) U10 = U_zu + u_star/vkarmn*(LOG(10._wp/zu) - psi_m_coare(10._wp*ztmp0) + psi_m_coare(zeta_u)) |
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295 | |
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296 | !! Roughness lengthes z0, z0t (z0q = z0t) : |
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297 | ztmp2 = u_star/vkarmn*LOG(10./z0) ! Neutral wind speed at 10m |
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298 | z0 = alfa_charn_3p0(ztmp2)*ztmp1/grav + 0.11_wp*znu_a/u_star ! Roughness length (eq.6) [ ztmp1==u*^2 ] |
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299 | z0 = MIN( MAX(ABS(z0), 1.E-9) , 1._wp ) ! (prevents FPE from stupid values from masked region later on) |
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300 | |
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301 | ztmp1 = ( znu_a / (z0*u_star) )**0.6_wp ! (1./Re_r)^0.72 (Re_r: roughness Reynolds number) COARE3.6-specific! |
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302 | z0t = MIN( 1.1E-4_wp , 5.5E-5_wp*ztmp1 ) ! Scalar roughness for both theta and q (eq.28) #LB: some use 1.15 not 1.1 !!! |
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303 | z0t = MIN( MAX(ABS(z0t), 1.E-9) , 1._wp ) ! (prevents FPE from stupid values from masked region later on) |
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304 | |
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305 | !! Turbulent scales at zu : |
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306 | ztmp0 = psi_h_coare(zeta_u) |
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307 | ztmp1 = vkarmn/(LOG(zu) - LOG(z0t) - ztmp0) ! #LB: in ztmp0, some use psi_h_coare(zeta_t) rather than psi_h_coare(zeta_t) ??? |
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308 | |
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309 | t_star = dt_zu*ztmp1 |
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310 | q_star = dq_zu*ztmp1 |
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311 | u_star = MAX( U_blk*vkarmn/(LOG(zu) - LOG(z0) - psi_m_coare(zeta_u)) , 1.E-9 ) ! (MAX => prevents FPE from stupid values from masked region later on) |
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312 | |
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313 | IF( .NOT. l_zt_equal_zu ) THEN |
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314 | !! Re-updating temperature and humidity at zu if zt /= zu : |
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315 | ztmp1 = LOG(zt/zu) + ztmp0 - psi_h_coare(zeta_t) |
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316 | t_zu = t_zt - t_star/vkarmn*ztmp1 |
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317 | q_zu = q_zt - q_star/vkarmn*ztmp1 |
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318 | ENDIF |
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319 | |
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320 | |
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321 | IF( l_use_cs ) THEN |
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322 | !! Cool-skin contribution |
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323 | |
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324 | 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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325 | & ztmp1, zeta_u, Qlat=ztmp2) ! Qnsol -> ztmp1 / Tau -> zeta_u |
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326 | |
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327 | CALL CS_COARE( Qsw, ztmp1, u_star, zsst, ztmp2 ) ! ! Qnsol -> ztmp1 / Qlat -> ztmp2 |
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328 | |
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329 | T_s(:,:) = zsst(:,:) + dT_cs(:,:)*tmask(:,:,1) |
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330 | IF( l_use_wl ) T_s(:,:) = T_s(:,:) + dT_wl(:,:)*tmask(:,:,1) |
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331 | q_s(:,:) = rdct_qsat_salt*q_sat(MAX(T_s(:,:), 200._wp), slp(:,:)) |
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332 | |
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333 | ENDIF |
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334 | |
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335 | IF( l_use_wl ) THEN |
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336 | !! Warm-layer contribution |
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337 | 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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338 | & ztmp1, zeta_u) ! Qnsol -> ztmp1 / Tau -> zeta_u |
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339 | !! In WL_COARE or , Tau_ac and Qnt_ac must be updated at the final itteration step => add a flag to do this! |
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340 | CALL WL_COARE( Qsw, ztmp1, zeta_u, zsst, MOD(nb_itt,j_itt) ) |
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341 | |
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342 | !! Updating T_s and q_s !!! |
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343 | T_s(:,:) = zsst(:,:) + dT_wl(:,:)*tmask(:,:,1) |
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344 | IF( l_use_cs ) T_s(:,:) = T_s(:,:) + dT_cs(:,:)*tmask(:,:,1) |
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345 | q_s(:,:) = rdct_qsat_salt*q_sat(MAX(T_s(:,:), 200._wp), slp(:,:)) |
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346 | ENDIF |
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347 | |
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348 | IF( l_use_cs .OR. l_use_wl .OR. (.NOT. l_zt_equal_zu) ) THEN |
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349 | dt_zu = t_zu - T_s ; dt_zu = SIGN( MAX(ABS(dt_zu),1.E-6_wp), dt_zu ) |
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350 | dq_zu = q_zu - q_s ; dq_zu = SIGN( MAX(ABS(dq_zu),1.E-9_wp), dq_zu ) |
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351 | ENDIF |
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352 | |
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353 | END DO !DO j_itt = 1, nb_itt |
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354 | |
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355 | ! compute transfer coefficients at zu : |
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356 | ztmp0 = u_star/U_blk |
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357 | Cd = ztmp0*ztmp0 |
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358 | Ch = ztmp0*t_star/dt_zu |
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359 | Ce = ztmp0*q_star/dq_zu |
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360 | |
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361 | ztmp1 = zu + z0 |
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362 | Cdn = vkarmn*vkarmn / (log(ztmp1/z0 )*log(ztmp1/z0 )) |
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363 | Chn = vkarmn*vkarmn / (log(ztmp1/z0t)*log(ztmp1/z0t)) |
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364 | Cen = Chn |
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365 | |
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366 | IF( .NOT. l_zt_equal_zu ) DEALLOCATE( zeta_t ) |
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367 | |
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368 | IF( l_use_cs .AND. PRESENT(pdT_cs) ) pdT_cs = dT_cs |
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369 | IF( l_use_wl .AND. PRESENT(pdT_wl) ) pdT_wl = dT_wl |
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370 | IF( l_use_wl .AND. PRESENT(pHz_wl) ) pHz_wl = Hz_wl |
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371 | |
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372 | IF( l_use_cs .OR. l_use_wl ) DEALLOCATE ( zsst ) |
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373 | |
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374 | END SUBROUTINE turb_coare3p0 |
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375 | |
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376 | |
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377 | FUNCTION alfa_charn_3p0( pwnd ) |
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378 | !!------------------------------------------------------------------- |
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379 | !! Compute the Charnock parameter as a function of the wind speed |
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380 | !! |
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381 | !! (Fairall et al., 2003 p.577-578) |
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382 | !! |
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383 | !! Wind below 10 m/s : alfa = 0.011 |
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384 | !! Wind between 10 and 18 m/s : linear increase from 0.011 to 0.018 |
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385 | !! Wind greater than 18 m/s : alfa = 0.018 |
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386 | !! |
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387 | !! Author: L. Brodeau, June 2016 / AeroBulk (https://github.com/brodeau/aerobulk/) |
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388 | !!------------------------------------------------------------------- |
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389 | REAL(wp), DIMENSION(jpi,jpj) :: alfa_charn_3p0 |
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390 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: pwnd ! wind speed |
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391 | ! |
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392 | INTEGER :: ji, jj ! dummy loop indices |
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393 | REAL(wp) :: zw, zgt10, zgt18 |
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394 | !!------------------------------------------------------------------- |
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395 | ! |
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396 | DO_2D( nn_hls, nn_hls, nn_hls, nn_hls ) |
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397 | ! |
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398 | zw = pwnd(ji,jj) ! wind speed |
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399 | ! |
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400 | ! Charnock's constant, increases with the wind : |
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401 | zgt10 = 0.5 + SIGN(0.5_wp,(zw - 10)) ! If zw<10. --> 0, else --> 1 |
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402 | zgt18 = 0.5 + SIGN(0.5_wp,(zw - 18.)) ! If zw<18. --> 0, else --> 1 |
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403 | ! |
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404 | alfa_charn_3p0(ji,jj) = (1. - zgt10)*0.011 & ! wind is lower than 10 m/s |
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405 | & + zgt10*((1. - zgt18)*(0.011 + (0.018 - 0.011) & |
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406 | & *(zw - 10.)/(18. - 10.)) + zgt18*( 0.018 ) ) ! Hare et al. (1999) |
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407 | ! |
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408 | END_2D |
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409 | ! |
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410 | END FUNCTION alfa_charn_3p0 |
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411 | |
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412 | FUNCTION psi_m_coare( pzeta ) |
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413 | !!---------------------------------------------------------------------------------- |
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414 | !! ** Purpose: compute the universal profile stability function for momentum |
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415 | !! COARE 3.0, Fairall et al. 2003 |
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416 | !! pzeta : stability paramenter, z/L where z is altitude |
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417 | !! measurement and L is M-O length |
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418 | !! Stability function for wind speed and scalars matching Kansas and free |
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419 | !! convection forms with weighting f convective form, follows Fairall et |
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420 | !! al (1996) with profile constants from Grachev et al (2000) BLM stable |
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421 | !! form from Beljaars and Holtslag (1991) |
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422 | !! |
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423 | !! ** Author: L. Brodeau, June 2016 / AeroBulk (https://github.com/brodeau/aerobulk/) |
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424 | !!---------------------------------------------------------------------------------- |
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425 | REAL(wp), DIMENSION(jpi,jpj) :: psi_m_coare |
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426 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: pzeta |
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427 | ! |
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428 | INTEGER :: ji, jj ! dummy loop indices |
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429 | REAL(wp) :: zta, zphi_m, zphi_c, zpsi_k, zpsi_c, zf, zc, zstab |
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430 | !!---------------------------------------------------------------------------------- |
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431 | ! |
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432 | DO_2D( nn_hls, nn_hls, nn_hls, nn_hls ) |
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433 | ! |
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434 | zta = pzeta(ji,jj) |
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435 | ! |
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436 | zphi_m = ABS(1. - 15.*zta)**.25 !!Kansas unstable |
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437 | ! |
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438 | zpsi_k = 2.*LOG((1. + zphi_m)/2.) + LOG((1. + zphi_m*zphi_m)/2.) & |
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439 | & - 2.*ATAN(zphi_m) + 0.5*rpi |
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440 | ! |
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441 | zphi_c = ABS(1. - 10.15*zta)**.3333 !!Convective |
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442 | ! |
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443 | zpsi_c = 1.5*LOG((1. + zphi_c + zphi_c*zphi_c)/3.) & |
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444 | & - 1.7320508*ATAN((1. + 2.*zphi_c)/1.7320508) + 1.813799447 |
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445 | ! |
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446 | zf = zta*zta |
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447 | zf = zf/(1. + zf) |
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448 | zc = MIN(50._wp, 0.35_wp*zta) |
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449 | zstab = 0.5 + SIGN(0.5_wp, zta) |
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450 | ! |
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451 | psi_m_coare(ji,jj) = (1. - zstab) * ( (1. - zf)*zpsi_k + zf*zpsi_c ) & ! (zta < 0) |
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452 | & - zstab * ( 1. + 1.*zta & ! (zta > 0) |
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453 | & + 0.6667*(zta - 14.28)/EXP(zc) + 8.525 ) ! " |
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454 | ! |
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455 | END_2D |
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456 | ! |
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457 | END FUNCTION psi_m_coare |
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458 | |
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459 | |
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460 | FUNCTION psi_h_coare( pzeta ) |
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461 | !!--------------------------------------------------------------------- |
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462 | !! Universal profile stability function for temperature and humidity |
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463 | !! COARE 3.0, Fairall et al. 2003 |
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464 | !! |
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465 | !! pzeta : stability paramenter, z/L where z is altitude measurement |
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466 | !! and L is M-O length |
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467 | !! |
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468 | !! Stability function for wind speed and scalars matching Kansas and free |
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469 | !! convection forms with weighting f convective form, follows Fairall et |
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470 | !! al (1996) with profile constants from Grachev et al (2000) BLM stable |
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471 | !! form from Beljaars and Holtslag (1991) |
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472 | !! |
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473 | !! Author: L. Brodeau, June 2016 / AeroBulk |
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474 | !! (https://github.com/brodeau/aerobulk/) |
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475 | !!---------------------------------------------------------------- |
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476 | !! |
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477 | REAL(wp), DIMENSION(jpi,jpj) :: psi_h_coare |
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478 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: pzeta |
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479 | ! |
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480 | INTEGER :: ji, jj ! dummy loop indices |
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481 | REAL(wp) :: zta, zphi_h, zphi_c, zpsi_k, zpsi_c, zf, zc, zstab |
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482 | ! |
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483 | DO_2D( nn_hls, nn_hls, nn_hls, nn_hls ) |
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484 | ! |
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485 | zta = pzeta(ji,jj) |
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486 | ! |
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487 | zphi_h = (ABS(1. - 15.*zta))**.5 !! Kansas unstable (zphi_h = zphi_m**2 when unstable, zphi_m when stable) |
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488 | ! |
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489 | zpsi_k = 2.*LOG((1. + zphi_h)/2.) |
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490 | ! |
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491 | zphi_c = (ABS(1. - 34.15*zta))**.3333 !! Convective |
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492 | ! |
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493 | zpsi_c = 1.5*LOG((1. + zphi_c + zphi_c*zphi_c)/3.) & |
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494 | & -1.7320508*ATAN((1. + 2.*zphi_c)/1.7320508) + 1.813799447 |
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495 | ! |
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496 | zf = zta*zta |
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497 | zf = zf/(1. + zf) |
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498 | zc = MIN(50._wp,0.35_wp*zta) |
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499 | zstab = 0.5 + SIGN(0.5_wp, zta) |
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500 | ! |
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501 | psi_h_coare(ji,jj) = (1. - zstab) * ( (1. - zf)*zpsi_k + zf*zpsi_c ) & |
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502 | & - zstab * ( (ABS(1. + 2.*zta/3.))**1.5 & |
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503 | & + .6667*(zta - 14.28)/EXP(zc) + 8.525 ) |
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504 | ! |
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505 | END_2D |
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506 | ! |
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507 | END FUNCTION psi_h_coare |
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508 | |
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509 | !!====================================================================== |
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510 | END MODULE sbcblk_algo_coare3p0 |
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