| 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 | !$OMP THREADPRIVATE(epsi,RCPD,RCPV,RV,RVTMP2) |
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| 22 | |
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| 23 | contains |
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| 24 | |
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| 25 | |
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| 26 | !================================================================== |
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| 27 | subroutine Psat_water(T,p,psat,qsat) |
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| 28 | |
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| 29 | implicit none |
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| 30 | |
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| 31 | !================================================================== |
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| 32 | ! Purpose |
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| 33 | ! ------- |
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| 34 | ! Compute the saturation vapor pressure and mass mixing ratio at saturation (kg/kg) |
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| 35 | ! for a given pressure (Pa) and temperature (K) |
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| 36 | ! Based on the Tetens formula from L.Li physical parametrization manual |
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| 37 | ! |
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| 38 | ! Authors |
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| 39 | ! ------- |
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| 40 | ! Jeremy Leconte (2012) |
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| 41 | ! |
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| 42 | !================================================================== |
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| 43 | |
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| 44 | ! input |
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| 45 | real, intent(in) :: T, p |
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| 46 | |
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| 47 | ! output |
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| 48 | real psat,qsat |
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| 49 | |
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| 50 | ! JL12 variables for tetens formula |
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| 51 | real,parameter :: Pref_solid_liquid=611.14 |
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| 52 | real,parameter :: Trefvaporization=35.86 |
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| 53 | real,parameter :: Trefsublimation=7.66 |
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| 54 | real,parameter :: Tmin=8. |
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| 55 | real,parameter :: r3vaporization=17.269 |
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| 56 | real,parameter :: r3sublimation=21.875 |
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| 57 | |
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| 58 | ! checked vs. old watersat data 14/05/2012 by JL. |
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| 59 | |
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| 60 | if (T.gt.T_h2O_ice_liq) then |
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| 61 | psat = Pref_solid_liquid*Exp(r3vaporization*(T-T_h2O_ice_liq)/(T-Trefvaporization)) ! liquid / vapour |
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| 62 | else if (T.lt.Tmin) then |
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| 63 | print*, "careful, T<Tmin in psat water" |
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| 64 | ! psat = Pref_solid_liquid*Exp(r3sublimation*(Tmin-T_h2O_ice_liq)/(Tmin-Trefsublimation)) ! min psat |
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| 65 | ! Ehouarn: gfortran says: Error: Result of EXP underflows its kind, |
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| 66 | ! so set psat to the smallest possible value instead |
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| 67 | psat=tiny(psat) |
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| 68 | else |
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| 69 | psat = Pref_solid_liquid*Exp(r3sublimation*(T-T_h2O_ice_liq)/(T-Trefsublimation)) ! solid / vapour |
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| 70 | endif |
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| 71 | if(psat.gt.p) then |
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| 72 | qsat=1. |
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| 73 | else |
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| 74 | qsat=epsi*psat/(p-(1.-epsi)*psat) |
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| 75 | endif |
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| 76 | return |
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| 77 | end subroutine Psat_water |
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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 | !================================================================== |
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| 83 | subroutine Lcpdqsat_water(T,p,psat,qsat,dqsat,dlnpsat) |
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| 84 | |
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| 85 | implicit none |
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| 86 | |
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| 87 | !================================================================== |
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| 88 | ! Purpose |
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| 89 | ! ------- |
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| 90 | ! Compute dqsat=L/cp*d (q_sat)/d T and dlnpsat=L/cp d(ln Psat)/d T |
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| 91 | ! for a given temperature (K)! |
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| 92 | ! Based on the Tetens formula from L.Li physical parametrization manual |
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| 93 | ! |
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| 94 | ! Authors |
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| 95 | ! ------- |
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| 96 | ! Jeremy Leconte (2012) |
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| 97 | ! |
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| 98 | !================================================================== |
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| 99 | |
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| 100 | ! input |
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| 101 | real T, p, psat, qsat |
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| 102 | |
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| 103 | ! output |
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| 104 | real dqsat,dlnpsat |
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| 105 | |
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| 106 | ! JL12 variables for tetens formula |
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| 107 | real,parameter :: Pref_solid_liquid=611.14 |
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| 108 | real,parameter :: Trefvaporization=35.86 |
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| 109 | real,parameter :: Tmin=8. |
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| 110 | real,parameter :: Trefsublimation=7.66 |
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| 111 | real,parameter :: r3vaporization=17.269 |
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| 112 | real,parameter :: r3sublimation=21.875 |
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| 113 | |
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| 114 | real :: dummy |
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| 115 | |
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| 116 | if (psat.gt.p) then |
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| 117 | dqsat=0. |
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| 118 | return |
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| 119 | endif |
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| 120 | |
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| 121 | if (T.gt.T_h2O_ice_liq) then |
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| 122 | dummy = r3vaporization*(T_h2O_ice_liq-Trefvaporization)/(T-Trefvaporization)**2 ! liquid / vapour |
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| 123 | else if (T.lt.Tmin) then |
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| 124 | print*, "careful, T<Tmin in Lcp psat water" |
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| 125 | dummy = r3sublimation*(T_h2O_ice_liq-Trefsublimation)/(Tmin-Trefsublimation)**2 ! solid / vapour |
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| 126 | else |
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| 127 | dummy = r3sublimation*(T_h2O_ice_liq-Trefsublimation)/(T-Trefsublimation)**2 ! solid / vapour |
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| 128 | endif |
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| 129 | |
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| 130 | dqsat=RLVTT/RCPD*qsat*(p/(p-(1.-epsi)*psat))*dummy |
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| 131 | dlnpsat=RLVTT/RCPD*dummy |
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| 132 | return |
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| 133 | end subroutine Lcpdqsat_water |
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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 | !================================================================== |
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| 139 | subroutine Tsat_water(p,Tsat) |
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| 140 | |
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| 141 | implicit none |
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| 142 | |
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| 143 | !================================================================== |
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| 144 | ! Purpose |
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| 145 | ! ------- |
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| 146 | ! Compute the saturation temperature |
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| 147 | ! for a given pressure (Pa) |
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| 148 | ! Based on the Tetens formula from L.Li physical parametrization manual |
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| 149 | ! |
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| 150 | ! Authors |
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| 151 | ! ------- |
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| 152 | ! Jeremy Leconte (2012) |
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| 153 | ! |
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| 154 | !================================================================== |
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| 155 | |
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| 156 | ! input |
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| 157 | real p |
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| 158 | |
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| 159 | ! output |
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| 160 | real Tsat |
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| 161 | |
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| 162 | ! JL12 variables for tetens formula |
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| 163 | real,parameter :: Pref_solid_liquid=611.14 |
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| 164 | real,parameter :: Trefvaporization=35.86 |
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| 165 | real,parameter :: Trefsublimation=7.66 |
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| 166 | real,parameter :: r3vaporization=17.269 |
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| 167 | real,parameter :: r3sublimation=21.875 |
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| 168 | |
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| 169 | if (p.lt.Pref_solid_liquid) then ! solid / vapour |
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| 170 | Tsat =(T_h2O_ice_liq*r3sublimation- Trefsublimation*Log(p/Pref_solid_liquid))/(r3sublimation-Log(p/Pref_solid_liquid)) |
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| 171 | else ! liquid / vapour |
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| 172 | Tsat =(T_h2O_ice_liq*r3vaporization- Trefvaporization*Log(p/Pref_solid_liquid))/(r3vaporization-Log(p/Pref_solid_liquid)) |
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| 173 | endif |
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| 174 | |
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| 175 | return |
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| 176 | end subroutine Tsat_water |
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| 177 | |
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| 178 | !================================================================== |
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| 179 | subroutine Psat_waterDP(T,p,psat,qsat) |
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| 180 | |
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| 181 | implicit none |
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| 182 | |
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| 183 | !================================================================== |
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| 184 | ! Purpose |
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| 185 | ! ------- |
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| 186 | ! Compute the saturation vapor pressure and mass mixing ratio at saturation (kg/kg) |
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| 187 | ! for a given pressure (Pa) and temperature (K) |
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| 188 | ! DOUBLE PRECISION |
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| 189 | ! Based on the Tetens formula from L.Li physical parametrization manual |
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| 190 | ! |
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| 191 | ! Authors |
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| 192 | ! ------- |
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| 193 | ! Jeremy Leconte (2012) |
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| 194 | ! |
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| 195 | !================================================================== |
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| 196 | |
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| 197 | ! input |
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| 198 | double precision, intent(in) :: T, p |
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| 199 | |
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| 200 | ! output |
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| 201 | double precision psat,qsat |
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| 202 | |
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| 203 | ! JL12 variables for tetens formula |
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| 204 | double precision,parameter :: Pref_solid_liquid=611.14d0 |
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| 205 | double precision,parameter :: Trefvaporization=35.86D0 |
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| 206 | double precision,parameter :: Trefsublimation=7.66d0 |
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| 207 | double precision,parameter :: Tmin=8.d0 |
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| 208 | double precision,parameter :: r3vaporization=17.269d0 |
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| 209 | double precision,parameter :: r3sublimation=21.875d0 |
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| 210 | |
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| 211 | ! checked vs. old watersat data 14/05/2012 by JL. |
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| 212 | |
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| 213 | if (T.gt.T_h2O_ice_liq) then |
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| 214 | psat = Pref_solid_liquid*Exp(r3vaporization*(T-T_h2O_ice_liq)/(T-Trefvaporization)) ! liquid / vapour |
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| 215 | else if (T.lt.Tmin) then |
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| 216 | print*, "careful, T<Tmin in psat water" |
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| 217 | ! psat = Pref_solid_liquid*Exp(r3sublimation*(Tmin-T_h2O_ice_liq)/(Tmin-Trefsublimation)) ! min psat |
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| 218 | ! Ehouarn: gfortran says: Error: Result of EXP underflows its kind, |
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| 219 | ! so set psat to the smallest possible value instead |
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| 220 | psat=tiny(psat) |
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| 221 | else |
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| 222 | psat = Pref_solid_liquid*Exp(r3sublimation*(T-T_h2O_ice_liq)/(T-Trefsublimation)) ! solid / vapour |
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| 223 | endif |
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| 224 | if(psat.gt.p) then |
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| 225 | qsat=1.d0 |
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| 226 | else |
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| 227 | qsat=epsi*psat/(p-(1.d0-epsi)*psat) |
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| 228 | endif |
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| 229 | return |
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| 230 | end subroutine Psat_waterDP |
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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 | !================================================================== |
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| 236 | subroutine Lcpdqsat_waterDP(T,p,psat,qsat,dqsat,dlnpsat) |
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| 237 | |
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| 238 | implicit none |
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| 239 | |
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| 240 | !================================================================== |
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| 241 | ! Purpose |
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| 242 | ! ------- |
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| 243 | ! Compute dqsat=L/cp*d (q_sat)/d T and dlnpsat=L/cp d(ln Psat)/d T |
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| 244 | ! for a given temperature (K)! |
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| 245 | ! Based on the Tetens formula from L.Li physical parametrization manual |
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| 246 | ! |
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| 247 | ! Authors |
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| 248 | ! ------- |
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| 249 | ! Jeremy Leconte (2012) |
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| 250 | ! |
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| 251 | !================================================================== |
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| 252 | |
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| 253 | ! input |
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| 254 | double precision T, p, psat, qsat |
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| 255 | |
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| 256 | ! output |
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| 257 | double precision dqsat,dlnpsat |
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| 258 | |
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| 259 | ! JL12 variables for tetens formula |
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| 260 | double precision,parameter :: Pref_solid_liquid=611.14d0 |
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| 261 | double precision,parameter :: Trefvaporization=35.86d0 |
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| 262 | double precision,parameter :: Tmin=8.d0 |
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| 263 | double precision,parameter :: Trefsublimation=7.66d0 |
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| 264 | double precision,parameter :: r3vaporization=17.269d0 |
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| 265 | double precision,parameter :: r3sublimation=21.875d0 |
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| 266 | |
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| 267 | double precision :: dummy |
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| 268 | |
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| 269 | if (psat.gt.p) then |
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| 270 | dqsat=0.d0 |
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| 271 | return |
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| 272 | endif |
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| 273 | |
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| 274 | if (T.gt.T_h2O_ice_liq) then |
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| 275 | dummy = r3vaporization*(T_h2O_ice_liq-Trefvaporization)/(T-Trefvaporization)**2 ! liquid / vapour |
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| 276 | else if (T.lt.Tmin) then |
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| 277 | print*, "careful, T<Tmin in Lcp psat water" |
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| 278 | dummy = r3sublimation*(T_h2O_ice_liq-Trefsublimation)/(Tmin-Trefsublimation)**2 ! solid / vapour |
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| 279 | else |
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| 280 | dummy = r3sublimation*(T_h2O_ice_liq-Trefsublimation)/(T-Trefsublimation)**2 ! solid / vapour |
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| 281 | endif |
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| 282 | |
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| 283 | dqsat=RLVTT/RCPD*qsat*(p/(p-(1.d0-epsi)*psat))*dummy |
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| 284 | dlnpsat=RLVTT/RCPD*dummy |
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| 285 | return |
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| 286 | end subroutine Lcpdqsat_waterDP |
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| 287 | |
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| 288 | |
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| 289 | end module watercommon_h |
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