1 | module watercommon_h |
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2 | |
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3 | implicit none |
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4 | |
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5 | real, parameter :: T_coup = 234.0 |
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6 | real, parameter :: T_h2O_ice_liq = 273.16 |
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7 | real, parameter :: T_h2O_ice_clouds = T_h2O_ice_liq-15. |
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8 | real, parameter :: mH2O = 18.01528 |
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9 | |
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10 | ! benjamin additions |
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11 | real, parameter :: RLVTT = 2.257E+6 ! Latent heat of vaporization (J kg-1) |
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12 | real, parameter :: RLSTT = 2.257E+6 ! 2.591E+6 in reality ! Latent heat of sublimation (J kg-1) |
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13 | |
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14 | real, parameter :: RLFTT = 3.334E+5 ! Latent heat of fusion (J kg-1) ! entails an energy sink but better description of albedo |
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15 | real, parameter :: rhowater = 1.0E+3 ! mass of water (kg/m^3) |
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16 | real, parameter :: rhowaterice = 9.2E+2 ! mass of water (kg/m^3) |
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17 | real, parameter :: capcal_h2o_liq = 4181.3 ! specific heat capacity of liquid water J/kg/K |
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18 | real, parameter :: mx_eau_sol = 150 ! mass of water (kg/m^2) |
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19 | |
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20 | real, save :: epsi, RCPD, RCPV, RV, RVTMP2 |
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21 | |
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22 | contains |
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23 | |
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24 | |
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25 | !================================================================== |
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26 | subroutine Psat_water(T,p,psat,qsat) |
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27 | |
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28 | implicit none |
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29 | |
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30 | !================================================================== |
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31 | ! Purpose |
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32 | ! ------- |
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33 | ! Compute the saturation vapor pressure and mass mixing ratio at saturation (kg/kg) |
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34 | ! for a given pressure (Pa) and temperature (K) |
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35 | ! Based on the Tetens formula from L.Li physical parametrization manual |
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36 | ! |
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37 | ! Authors |
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38 | ! ------- |
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39 | ! Jeremy Leconte (2012) |
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40 | ! |
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41 | !================================================================== |
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42 | |
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43 | ! input |
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44 | real, intent(in) :: T, p |
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45 | |
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46 | ! output |
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47 | real psat,qsat |
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48 | |
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49 | ! JL12 variables for tetens formula |
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50 | real,parameter :: Pref_solid_liquid=611.14 |
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51 | real,parameter :: Trefvaporization=35.86 |
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52 | real,parameter :: Trefsublimation=7.66 |
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53 | real,parameter :: Tmin=8. |
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54 | real,parameter :: r3vaporization=17.269 |
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55 | real,parameter :: r3sublimation=21.875 |
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56 | |
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57 | ! checked vs. old watersat data 14/05/2012 by JL. |
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58 | |
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59 | if (T.gt.T_h2O_ice_liq) then |
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60 | psat = Pref_solid_liquid*Exp(r3vaporization*(T-T_h2O_ice_liq)/(T-Trefvaporization)) ! liquid / vapour |
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61 | else if (T.lt.Tmin) then |
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62 | print*, "careful, T<Tmin in psat water" |
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63 | ! psat = Pref_solid_liquid*Exp(r3sublimation*(Tmin-T_h2O_ice_liq)/(Tmin-Trefsublimation)) ! min psat |
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64 | ! Ehouarn: gfortran says: Error: Result of EXP underflows its kind, |
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65 | ! so set psat to the smallest possible value instead |
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66 | psat=tiny(psat) |
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67 | else |
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68 | psat = Pref_solid_liquid*Exp(r3sublimation*(T-T_h2O_ice_liq)/(T-Trefsublimation)) ! solid / vapour |
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69 | endif |
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70 | if(psat.gt.p) then |
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71 | qsat=1. |
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72 | else |
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73 | qsat=epsi*psat/(p-(1.-epsi)*psat) |
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74 | endif |
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75 | return |
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76 | end subroutine Psat_water |
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77 | |
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78 | |
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79 | |
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80 | |
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81 | !================================================================== |
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82 | subroutine Lcpdqsat_water(T,p,psat,qsat,dqsat,dlnpsat) |
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83 | |
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84 | implicit none |
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85 | |
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86 | !================================================================== |
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87 | ! Purpose |
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88 | ! ------- |
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89 | ! Compute dqsat=L/cp*d (q_sat)/d T and dlnpsat=L/cp d(ln Psat)/d T |
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90 | ! for a given temperature (K)! |
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91 | ! Based on the Tetens formula from L.Li physical parametrization manual |
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92 | ! |
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93 | ! Authors |
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94 | ! ------- |
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95 | ! Jeremy Leconte (2012) |
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96 | ! |
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97 | !================================================================== |
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98 | |
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99 | ! input |
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100 | real T, p, psat, qsat |
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101 | |
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102 | ! output |
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103 | real dqsat,dlnpsat |
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104 | |
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105 | ! JL12 variables for tetens formula |
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106 | real,parameter :: Pref_solid_liquid=611.14 |
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107 | real,parameter :: Trefvaporization=35.86 |
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108 | real,parameter :: Tmin=8. |
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109 | real,parameter :: Trefsublimation=7.66 |
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110 | real,parameter :: r3vaporization=17.269 |
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111 | real,parameter :: r3sublimation=21.875 |
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112 | |
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113 | real :: dummy |
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114 | |
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115 | if (psat.gt.p) then |
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116 | dqsat=0. |
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117 | return |
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118 | endif |
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119 | |
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120 | if (T.gt.T_h2O_ice_liq) then |
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121 | dummy = r3vaporization*(T_h2O_ice_liq-Trefvaporization)/(T-Trefvaporization)**2 ! liquid / vapour |
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122 | else if (T.lt.Tmin) then |
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123 | print*, "careful, T<Tmin in Lcp psat water" |
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124 | dummy = r3sublimation*(T_h2O_ice_liq-Trefsublimation)/(Tmin-Trefsublimation)**2 ! solid / vapour |
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125 | else |
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126 | dummy = r3sublimation*(T_h2O_ice_liq-Trefsublimation)/(T-Trefsublimation)**2 ! solid / vapour |
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127 | endif |
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128 | |
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129 | dqsat=RLVTT/RCPD*qsat*(p/(p-(1.-epsi)*psat))*dummy |
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130 | dlnpsat=RLVTT/RCPD*dummy |
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131 | return |
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132 | end subroutine Lcpdqsat_water |
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133 | |
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134 | |
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135 | |
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136 | |
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137 | !================================================================== |
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138 | subroutine Tsat_water(p,Tsat) |
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139 | |
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140 | implicit none |
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141 | |
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142 | !================================================================== |
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143 | ! Purpose |
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144 | ! ------- |
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145 | ! Compute the saturation temperature |
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146 | ! for a given pressure (Pa) |
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147 | ! Based on the Tetens formula from L.Li physical parametrization manual |
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148 | ! |
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149 | ! Authors |
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150 | ! ------- |
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151 | ! Jeremy Leconte (2012) |
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152 | ! |
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153 | !================================================================== |
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154 | |
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155 | ! input |
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156 | real p |
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157 | |
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158 | ! output |
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159 | real Tsat |
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160 | |
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161 | ! JL12 variables for tetens formula |
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162 | real,parameter :: Pref_solid_liquid=611.14 |
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163 | real,parameter :: Trefvaporization=35.86 |
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164 | real,parameter :: Trefsublimation=7.66 |
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165 | real,parameter :: r3vaporization=17.269 |
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166 | real,parameter :: r3sublimation=21.875 |
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167 | |
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168 | if (p.lt.Pref_solid_liquid) then ! solid / vapour |
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169 | Tsat =(T_h2O_ice_liq*r3sublimation- Trefsublimation*Log(p/Pref_solid_liquid))/(r3sublimation-Log(p/Pref_solid_liquid)) |
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170 | else ! liquid / vapour |
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171 | Tsat =(T_h2O_ice_liq*r3vaporization- Trefvaporization*Log(p/Pref_solid_liquid))/(r3vaporization-Log(p/Pref_solid_liquid)) |
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172 | endif |
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173 | |
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174 | return |
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175 | end subroutine Tsat_water |
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176 | |
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177 | !================================================================== |
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178 | subroutine Psat_waterDP(T,p,psat,qsat) |
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179 | |
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180 | implicit none |
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181 | |
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182 | !================================================================== |
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183 | ! Purpose |
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184 | ! ------- |
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185 | ! Compute the saturation vapor pressure and mass mixing ratio at saturation (kg/kg) |
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186 | ! for a given pressure (Pa) and temperature (K) |
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187 | ! DOUBLE PRECISION |
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188 | ! Based on the Tetens formula from L.Li physical parametrization manual |
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189 | ! |
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190 | ! Authors |
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191 | ! ------- |
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192 | ! Jeremy Leconte (2012) |
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193 | ! |
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194 | !================================================================== |
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195 | |
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196 | ! input |
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197 | double precision, intent(in) :: T, p |
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198 | |
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199 | ! output |
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200 | double precision psat,qsat |
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201 | |
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202 | ! JL12 variables for tetens formula |
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203 | double precision,parameter :: Pref_solid_liquid=611.14d0 |
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204 | double precision,parameter :: Trefvaporization=35.86D0 |
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205 | double precision,parameter :: Trefsublimation=7.66d0 |
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206 | double precision,parameter :: Tmin=8.d0 |
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207 | double precision,parameter :: r3vaporization=17.269d0 |
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208 | double precision,parameter :: r3sublimation=21.875d0 |
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209 | |
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210 | ! checked vs. old watersat data 14/05/2012 by JL. |
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211 | |
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212 | if (T.gt.T_h2O_ice_liq) then |
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213 | psat = Pref_solid_liquid*Exp(r3vaporization*(T-T_h2O_ice_liq)/(T-Trefvaporization)) ! liquid / vapour |
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214 | else if (T.lt.Tmin) then |
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215 | print*, "careful, T<Tmin in psat water" |
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216 | ! psat = Pref_solid_liquid*Exp(r3sublimation*(Tmin-T_h2O_ice_liq)/(Tmin-Trefsublimation)) ! min psat |
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217 | ! Ehouarn: gfortran says: Error: Result of EXP underflows its kind, |
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218 | ! so set psat to the smallest possible value instead |
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219 | psat=tiny(psat) |
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220 | else |
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221 | psat = Pref_solid_liquid*Exp(r3sublimation*(T-T_h2O_ice_liq)/(T-Trefsublimation)) ! solid / vapour |
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222 | endif |
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223 | if(psat.gt.p) then |
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224 | qsat=1.d0 |
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225 | else |
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226 | qsat=epsi*psat/(p-(1.d0-epsi)*psat) |
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227 | endif |
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228 | return |
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229 | end subroutine Psat_waterDP |
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230 | |
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231 | |
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232 | |
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233 | |
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234 | !================================================================== |
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235 | subroutine Lcpdqsat_waterDP(T,p,psat,qsat,dqsat,dlnpsat) |
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236 | |
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237 | implicit none |
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238 | |
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239 | !================================================================== |
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240 | ! Purpose |
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241 | ! ------- |
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242 | ! Compute dqsat=L/cp*d (q_sat)/d T and dlnpsat=L/cp d(ln Psat)/d T |
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243 | ! for a given temperature (K)! |
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244 | ! Based on the Tetens formula from L.Li physical parametrization manual |
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245 | ! |
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246 | ! Authors |
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247 | ! ------- |
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248 | ! Jeremy Leconte (2012) |
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249 | ! |
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250 | !================================================================== |
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251 | |
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252 | ! input |
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253 | double precision T, p, psat, qsat |
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254 | |
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255 | ! output |
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256 | double precision dqsat,dlnpsat |
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257 | |
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258 | ! JL12 variables for tetens formula |
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259 | double precision,parameter :: Pref_solid_liquid=611.14d0 |
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260 | double precision,parameter :: Trefvaporization=35.86d0 |
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261 | double precision,parameter :: Tmin=8.d0 |
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262 | double precision,parameter :: Trefsublimation=7.66d0 |
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263 | double precision,parameter :: r3vaporization=17.269d0 |
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264 | double precision,parameter :: r3sublimation=21.875d0 |
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265 | |
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266 | double precision :: dummy |
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267 | |
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268 | if (psat.gt.p) then |
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269 | dqsat=0.d0 |
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270 | return |
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271 | endif |
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272 | |
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273 | if (T.gt.T_h2O_ice_liq) then |
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274 | dummy = r3vaporization*(T_h2O_ice_liq-Trefvaporization)/(T-Trefvaporization)**2 ! liquid / vapour |
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275 | else if (T.lt.Tmin) then |
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276 | print*, "careful, T<Tmin in Lcp psat water" |
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277 | dummy = r3sublimation*(T_h2O_ice_liq-Trefsublimation)/(Tmin-Trefsublimation)**2 ! solid / vapour |
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278 | else |
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279 | dummy = r3sublimation*(T_h2O_ice_liq-Trefsublimation)/(T-Trefsublimation)**2 ! solid / vapour |
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280 | endif |
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281 | |
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282 | dqsat=RLVTT/RCPD*qsat*(p/(p-(1.d0-epsi)*psat))*dummy |
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283 | dlnpsat=RLVTT/RCPD*dummy |
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284 | return |
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285 | end subroutine Lcpdqsat_waterDP |
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286 | |
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287 | |
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288 | end module watercommon_h |
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