1 | MODULE LSCP_TOOLS_MOD |
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2 | |
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3 | IMPLICIT NONE |
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4 | |
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5 | CONTAINS |
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6 | |
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7 | !+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
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8 | SUBROUTINE FALLICE_VELOCITY(klon,iwc,temp,rho,pres,ptconv,velo) |
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9 | |
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10 | ! Ref: |
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11 | ! Stubenrauch, C. J., Bonazzola, M., |
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12 | ! Protopapadaki, S. E., & Musat, I. (2019). |
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13 | ! New cloud system metrics to assess bulk |
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14 | ! ice cloud schemes in a GCM. Journal of |
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15 | ! Advances in Modeling Earth Systems, 11, |
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16 | ! 3212–3234. https://doi.org/10.1029/2019MS001642 |
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17 | |
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18 | |
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19 | IMPLICIT NONE |
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20 | |
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21 | INCLUDE "nuage.h" |
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22 | INCLUDE "fisrtilp.h" |
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23 | |
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24 | INTEGER, INTENT(IN) :: klon |
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25 | REAL, INTENT(IN), DIMENSION(klon) :: iwc ! specific ice water content [kg/m3] |
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26 | REAL, INTENT(IN), DIMENSION(klon) :: temp ! temperature [K] |
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27 | REAL, INTENT(IN), DIMENSION(klon) :: rho ! dry air density [kg/m3] |
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28 | REAL, INTENT(IN), DIMENSION(klon) :: pres ! air pressure [Pa] |
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29 | LOGICAL, INTENT(IN), DIMENSION(klon) :: ptconv ! convective point [-] |
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30 | |
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31 | REAL, INTENT(OUT), DIMENSION(klon) :: velo ! fallspeed velocity of crystals [m/s] |
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32 | |
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33 | |
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34 | INTEGER i |
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35 | REAL logvm,iwcg,tempc,phpa,cvel,dvel,fallv_tun |
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36 | REAL m2ice, m2snow, vmice, vmsnow |
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37 | REAL aice, bice, asnow, bsnow |
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38 | |
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39 | |
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40 | DO i=1,klon |
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41 | |
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42 | IF (ptconv(i)) THEN |
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43 | fallv_tun=ffallv_con |
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44 | ELSE |
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45 | fallv_tun=ffallv_lsc |
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46 | ENDIF |
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47 | |
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48 | tempc=temp(i)-273.15 ! celcius temp |
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49 | iwcg=MAX(iwc(i)*1000.,1E-3) ! iwc in g/m3. We set a minimum value to prevent from division by 0 |
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50 | phpa=pres(i)/100. ! pressure in hPa |
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51 | |
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52 | IF (iflag_vice .EQ. 1) THEN |
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53 | ! so-called 'empirical parameterization' in Stubenrauch et al. 2019 |
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54 | if (tempc .GE. -60.0) then |
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55 | |
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56 | logvm= -0.0000414122*tempc*tempc*log(iwcg)-0.00538922*tempc*log(iwcg) & |
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57 | -0.0516344*log(iwcg)+0.00216078*tempc + 1.9714 |
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58 | velo(i)=exp(logvm) |
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59 | else |
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60 | velo(i)=65.0*(iwcg**0.2)*(150./phpa)**0.15 |
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61 | endif |
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62 | |
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63 | velo(i)=fallv_tun*velo(i)/100.0 ! from cm/s to m/s |
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64 | dvel=0.2 |
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65 | cvel=fallv_tun*65.0*(rho(i)**0.2)*(150./phpa)**0.15 |
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66 | |
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67 | ELSE IF (iflag_vice .EQ. 2) THEN |
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68 | ! so called PSDM empirical coherent bulk ice scheme in Stubenrauch et al. 2019 |
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69 | aice=0.587 |
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70 | bice=2.45 |
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71 | asnow=0.0444 |
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72 | bsnow=2.1 |
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73 | |
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74 | m2ice=((iwcg*0.001/aice)/(exp(13.6-bice*7.76+0.479*bice**2)* & |
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75 | exp((-0.0361+bice*0.0151+0.00149*bice**2)*tempc))) & |
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76 | **(1./(0.807+bice*0.00581+0.0457*bice**2)) |
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77 | |
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78 | vmice=100.*1042.4*exp(13.6-(bice+1)*7.76+0.479*(bice+1.)**2)*exp((-0.0361+ & |
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79 | (bice+1.)*0.0151+0.00149*(bice+1.)**2)*tempc) & |
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80 | *(m2ice**(0.807+(bice+1.)*0.00581+0.0457*(bice+1.)**2))/(iwcg*0.001/aice) |
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81 | |
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82 | |
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83 | vmice=vmice*((1000./phpa)**0.2) |
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84 | |
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85 | m2snow=((iwcg*0.001/asnow)/(exp(13.6-bsnow*7.76+0.479*bsnow**2)* & |
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86 | exp((-0.0361+bsnow*0.0151+0.00149*bsnow**2)*tempc))) & |
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87 | **(1./(0.807+bsnow*0.00581+0.0457*bsnow**2)) |
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88 | |
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89 | |
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90 | vmsnow=100.*14.3*exp(13.6-(bsnow+.416)*7.76+0.479*(bsnow+.416)**2)& |
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91 | *exp((-0.0361+(bsnow+.416)*0.0151+0.00149*(bsnow+.416)**2)*tempc)& |
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92 | *(m2snow**(0.807+(bsnow+.416)*0.00581+0.0457*(bsnow+.416)**2))/(iwcg*0.001/asnow) |
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93 | |
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94 | vmsnow=vmsnow*((1000./phpa)**0.35) |
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95 | velo(i)=fallv_tun*min(vmsnow,vmice)/100. ! to m/s |
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96 | dvel=0.2 |
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97 | cvel=velo(i)/((iwcg/1000.*rho(i))**dvel) |
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98 | |
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99 | ELSE |
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100 | ! By default, fallspeed velocity of ice crystals according to Heymsfield & Donner 1990 |
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101 | velo(i) = fallv_tun*3.29/2.0*((iwcg/1000.)**0.16) |
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102 | dvel=0.16 |
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103 | cvel=fallv_tun*3.29/2.0*(rho(i)**0.16) |
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104 | ENDIF |
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105 | ENDDO |
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106 | |
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107 | END SUBROUTINE FALLICE_VELOCITY |
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108 | !+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
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109 | |
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110 | !+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
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111 | SUBROUTINE ICEFRAC_LSCP(klon, temp, sig, icefrac, dicefracdT) |
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112 | !+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
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113 | |
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114 | ! Compute the ice fraction 1-xliq (see e.g. |
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115 | ! Doutriaux-Boucher & Quaas 2004, section 2.2.) |
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116 | ! as a function of temperature |
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117 | ! see also Fig 3 of Madeleine et al. 2020, JAMES |
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118 | !+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
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119 | |
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120 | |
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121 | USE print_control_mod, ONLY: lunout, prt_level |
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122 | |
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123 | IMPLICIT NONE |
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124 | |
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125 | |
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126 | INCLUDE "YOMCST.h" |
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127 | INCLUDE "nuage.h" |
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128 | INCLUDE "clesphys.h" |
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129 | |
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130 | |
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131 | ! nuage.h contains: |
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132 | ! t_glace_min: if T < Tmin, the cloud is only made of water ice |
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133 | ! t_glace_max: if T > Tmax, the cloud is only made of liquid water |
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134 | ! exposant_glace: controls the sharpness of the transition |
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135 | |
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136 | INTEGER, INTENT(IN) :: klon ! number of horizontal grid points |
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137 | REAL, INTENT(IN), DIMENSION(klon) :: temp ! temperature |
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138 | REAL, INTENT(IN), DIMENSION(klon) :: sig |
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139 | REAL, INTENT(OUT), DIMENSION(klon) :: icefrac |
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140 | REAL, INTENT(OUT), DIMENSION(klon) :: dicefracdT |
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141 | |
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142 | |
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143 | INTEGER i |
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144 | REAL sig0,www,tmin_tmp,liqfrac_tmp |
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145 | REAL Dv, denomdep,beta,qsi,dqsidt |
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146 | INTEGER exposant_glace_old |
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147 | REAL t_glace_min_old |
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148 | LOGICAL ice_thermo |
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149 | |
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150 | sig0=0.8 |
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151 | t_glace_min_old = RTT - 15.0 |
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152 | ice_thermo = (iflag_ice_thermo .EQ. 1).OR.(iflag_ice_thermo .GE. 3) |
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153 | IF (ice_thermo) THEN |
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154 | exposant_glace_old = 2 |
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155 | ELSE |
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156 | exposant_glace_old = 6 |
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157 | ENDIF |
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158 | |
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159 | |
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160 | ! calculation of icefrac and dicefrac/dT |
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161 | |
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162 | DO i=1,klon |
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163 | |
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164 | IF (iflag_t_glace.EQ.1) THEN |
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165 | ! Transition to ice close to surface for T<Tmax |
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166 | ! w=1 at the surface and 0 for sig < sig0 |
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167 | www=(max(sig(i)-sig0,0.))/(1.-sig0) |
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168 | ELSEIF (iflag_t_glace.GE.2) THEN |
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169 | ! No convertion to ice close to surface |
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170 | www = 0. |
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171 | ENDIF |
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172 | |
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173 | tmin_tmp=www*t_glace_max+(1.-www)*t_glace_min |
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174 | liqfrac_tmp= (temp(i)-tmin_tmp) / (t_glace_max-tmin_tmp) |
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175 | liqfrac_tmp = MIN(MAX(liqfrac_tmp,0.0),1.0) |
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176 | |
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177 | IF (iflag_t_glace.GE.3) THEN |
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178 | icefrac(i) = 1.0-liqfrac_tmp**exposant_glace |
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179 | IF ((icefrac(i) .GT.0.) .AND. (liqfrac_tmp .GT. 0)) THEN |
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180 | dicefracdT(i)= exposant_glace * ((liqfrac_tmp)**(exposant_glace-1.)) & |
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181 | / (t_glace_min - t_glace_max) |
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182 | ELSE |
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183 | |
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184 | dicefracdT(i)=0. |
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185 | ENDIF |
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186 | |
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187 | ELSE |
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188 | icefrac(i) = (1.0-liqfrac_tmp)**exposant_glace |
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189 | IF (icefrac(i) .GT.0.) THEN |
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190 | dicefracdT(i)= exposant_glace * (icefrac(i)**(exposant_glace-1.)) & |
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191 | / (t_glace_min - t_glace_max) |
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192 | ENDIF |
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193 | |
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194 | IF ((icefrac(i).EQ.0).OR.(icefrac(i).EQ.1)) THEN |
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195 | dicefracdT(i)=0. |
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196 | ENDIF |
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197 | |
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198 | ENDIF |
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199 | |
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200 | ENDDO |
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201 | |
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202 | |
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203 | RETURN |
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204 | |
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205 | END SUBROUTINE ICEFRAC_LSCP |
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206 | !+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
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207 | |
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208 | |
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209 | |
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210 | SUBROUTINE CALC_QSAT_ECMWF(klon,temp,qtot,pressure,tref,phase,flagth,qs,dqs) |
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211 | !+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
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212 | ! Calculate qsat following ECMWF method |
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213 | !+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
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214 | |
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215 | |
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216 | IMPLICIT NONE |
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217 | |
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218 | include "YOMCST.h" |
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219 | include "YOETHF.h" |
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220 | include "FCTTRE.h" |
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221 | |
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222 | INTEGER, INTENT(IN) :: klon ! number of horizontal grid points |
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223 | REAL, INTENT(IN), DIMENSION(klon) :: temp ! temperature in K |
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224 | REAL, INTENT(IN), DIMENSION(klon) :: qtot ! total specific water in kg/kg |
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225 | REAL, INTENT(IN), DIMENSION(klon) :: pressure ! pressure in Pa |
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226 | REAL, INTENT(IN) :: tref ! reference temperature in K |
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227 | LOGICAL, INTENT(IN) :: flagth ! flag for qsat calculation for thermals |
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228 | INTEGER, INTENT(IN) :: phase |
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229 | ! phase: 0=depend on temperature sign (temp>tref -> liquid, temp<tref, solid) |
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230 | ! 1=liquid |
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231 | ! 2=solid |
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232 | |
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233 | REAL, INTENT(OUT), DIMENSION(klon) :: qs ! saturation specific humidity [kg/kg] |
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234 | REAL, INTENT(OUT), DIMENSION(klon) :: dqs ! derivation of saturation specific humidity wrt T |
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235 | |
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236 | REAL delta, cor, cvm5 |
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237 | INTEGER i |
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238 | |
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239 | DO i=1,klon |
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240 | |
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241 | IF (phase .EQ. 1) THEN |
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242 | delta=0. |
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243 | ELSEIF (phase .EQ. 2) THEN |
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244 | delta=1. |
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245 | ELSE |
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246 | delta=MAX(0.,SIGN(1.,tref-temp(i))) |
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247 | ENDIF |
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248 | |
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249 | IF (flagth) THEN |
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250 | cvm5=R5LES*(1.-delta) + R5IES*delta |
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251 | ELSE |
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252 | cvm5 = R5LES*RLVTT*(1.-delta) + R5IES*RLSTT*delta |
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253 | cvm5 = cvm5 /RCPD/(1.0+RVTMP2*(qtot(i))) |
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254 | ENDIF |
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255 | |
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256 | qs(i)= R2ES*FOEEW(temp(i),delta)/pressure(i) |
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257 | qs(i)=MIN(0.5,qs(i)) |
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258 | cor=1./(1.-RETV*qs(i)) |
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259 | qs(i)=qs(i)*cor |
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260 | dqs(i)= FOEDE(temp(i),delta,cvm5,qs(i),cor) |
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261 | |
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262 | END DO |
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263 | |
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264 | END SUBROUTINE CALC_QSAT_ECMWF |
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265 | !+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
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266 | |
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267 | |
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268 | !+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
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269 | SUBROUTINE CALC_GAMMASAT(klon,temp,qtot,pressure,gammasat,dgammasatdt) |
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270 | |
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271 | !+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
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272 | ! programme that calculates the gammasat parameter that determines the |
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273 | ! homogeneous condensation thresholds for cold (<0oC) clouds |
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274 | ! condensation at q>gammasat*qsat |
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275 | ! Etienne Vignon, March 2021 |
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276 | !+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
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277 | |
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278 | |
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279 | IMPLICIT NONE |
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280 | |
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281 | include "YOMCST.h" |
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282 | include "YOETHF.h" |
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283 | include "FCTTRE.h" |
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284 | include "nuage.h" |
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285 | |
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286 | INTEGER, INTENT(IN) :: klon ! number of horizontal grid points |
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287 | REAL, INTENT(IN), DIMENSION(klon) :: temp ! temperature in K |
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288 | REAL, INTENT(IN), DIMENSION(klon) :: qtot ! total specific water in kg/kg |
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289 | |
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290 | REAL, INTENT(IN), DIMENSION(klon) :: pressure ! pressure in Pa |
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291 | |
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292 | REAL, INTENT(OUT), DIMENSION(klon) :: gammasat ! coefficient to multiply qsat with to calculate saturation |
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293 | REAL, INTENT(OUT), DIMENSION(klon) :: dgammasatdt ! derivative of gammasat wrt temperature |
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294 | |
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295 | REAL, DIMENSION(klon) :: qsi,qsl,dqsl,dqsi |
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296 | REAL fcirrus, fac |
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297 | REAL, PARAMETER :: acirrus=2.349 |
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298 | REAL, PARAMETER :: bcirrus=259.0 |
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299 | |
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300 | INTEGER i |
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301 | |
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302 | CALL CALC_QSAT_ECMWF(klon,temp,qtot,pressure,RTT,1,.false.,qsl,dqsl) |
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303 | CALL CALC_QSAT_ECMWF(klon,temp,qtot,pressure,RTT,2,.false.,qsi,dqsi) |
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304 | |
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305 | DO i=1,klon |
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306 | |
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307 | IF (temp(i) .GE. RTT) THEN |
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308 | ! warm clouds: condensation at saturation wrt liquid |
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309 | gammasat(i)=1. |
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310 | dgammasatdt(i)=0. |
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311 | |
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312 | ELSEIF ((temp(i) .LT. RTT) .AND. (temp(i) .GT. t_glace_min)) THEN |
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313 | |
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314 | IF (iflag_gammasat .GE. 2) THEN |
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315 | gammasat(i)=qsl(i)/qsi(i) |
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316 | dgammasatdt(i)=(dqsl(i)*qsi(i)-dqsi(i)*qsl(i))/qsi(i)/qsi(i) |
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317 | ELSE |
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318 | gammasat(i)=1. |
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319 | dgammasatdt(i)=0. |
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320 | ENDIF |
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321 | |
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322 | ELSE |
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323 | |
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324 | IF (iflag_gammasat .GE.1) THEN |
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325 | ! homogeneous freezing of aerosols, according to |
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326 | ! Koop, 2000 and Karcher 2008, QJRMS |
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327 | ! 'Cirrus regime' |
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328 | fcirrus=acirrus-temp(i)/bcirrus |
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329 | IF (fcirrus .LT. qsl(i)/qsi(i)) THEN |
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330 | gammasat(i)=qsl(i)/qsi(i) |
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331 | dgammasatdt(i)=(dqsl(i)*qsi(i)-dqsi(i)*qsl(i))/qsi(i)/qsi(i) |
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332 | ELSE |
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333 | gammasat(i)=fcirrus |
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334 | dgammasatdt(i)=-1.0/bcirrus |
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335 | ENDIF |
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336 | |
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337 | ELSE |
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338 | |
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339 | gammasat(i)=1. |
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340 | dgammasatdt(i)=0. |
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341 | |
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342 | ENDIF |
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343 | |
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344 | ENDIF |
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345 | |
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346 | END DO |
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347 | |
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348 | |
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349 | END SUBROUTINE CALC_GAMMASAT |
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350 | |
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351 | |
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352 | !++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
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353 | |
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354 | END MODULE LSCP_TOOLS_MOD |
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355 | |
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356 | |
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