1 | subroutine condense_co2(ngrid,nlayer,nq,ptimestep, & |
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2 | pcapcal,pplay,pplev,ptsrf,pt, & |
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3 | pdt,pdtsrf,pq,pdq, & |
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4 | pqsurf,pdqsurfc,albedo,pemisurf, & |
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5 | albedo_bareground,albedo_co2_ice_SPECTV, & |
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6 | pdtc,pdtsrfc,pdpsrfc,pdqc) |
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7 | |
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8 | use radinc_h, only : L_NSPECTV |
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9 | use gases_h, only: gfrac, igas_co2 |
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10 | use radii_mod, only : co2_reffrad |
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11 | use aerosol_mod, only : iaero_co2 |
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12 | USE surfdat_h, only: emisice, emissiv |
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13 | USE geometry_mod, only: latitude ! in radians |
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14 | USE tracer_h, only: noms, rho_co2 |
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15 | use comcstfi_mod, only: g, r, cpp |
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16 | |
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17 | implicit none |
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18 | |
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19 | !================================================================== |
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20 | ! Purpose |
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21 | ! ------- |
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22 | ! Condense and/or sublime CO2 ice on the ground and in the atmosphere, and sediment the ice. |
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23 | ! |
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24 | ! Inputs |
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25 | ! ------ |
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26 | ! ngrid Number of vertical columns. |
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27 | ! nlayer Number of vertical layers. |
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28 | ! nq Number of tracers. |
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29 | ! ptimestep Duration of the physical timestep (s). |
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30 | ! pplay(ngrid,nlayer) Pressure layers (Pa). |
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31 | ! pplev(ngrid,nlayer+1) Pressure levels (Pa). |
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32 | ! pt(ngrid,nlayer) Atmospheric Temperatures (K). |
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33 | ! ptsrf(ngrid) Surface temperatures (K). |
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34 | ! pq(ngrid,nlayer,nq) Atmospheric tracers mixing ratios (kg/kg of air). |
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35 | ! pqsurf(ngrid,nq) Surface tracers (kg/m2). |
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36 | ! |
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37 | ! pdt(ngrid,nlayer) Time derivative before condensation/sublimation of pt. |
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38 | ! pdtsrf(ngrid) Time derivative before condensation/sublimation of ptsrf. |
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39 | ! pdq(ngrid,nlayer,nq) Time derivative before condensation/sublimation of |
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40 | ! |
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41 | ! albedo_bareground(ngrid) Albedo of the bare ground. |
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42 | ! albedo_co2_ice_SPECTV(L_NSPECTV) Spectral albedo of CO2 ice. |
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43 | ! |
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44 | ! Outputs |
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45 | ! ------- |
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46 | ! pdpsrfc(ngrid) \ Contribution of condensation/sublimation |
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47 | ! pdtc(ngrid,nlayer) \ to the time derivatives of |
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48 | ! pdtsrfc(ngrid) / Surface Pressure, Atmospheric Temperatures, |
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49 | ! pdqsurfc(ngrid) / Surface Temperatures, Surface Tracers, |
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50 | ! pdqc(ngrid,nlayer,nq) / and Atmospheric Tracers.* |
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51 | ! |
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52 | ! pemisurf(ngrid) Emissivity of the surface. |
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53 | ! |
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54 | ! Both |
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55 | ! ---- |
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56 | ! albedo(ngrid,L_NSPECTV) Spectral albedo of the surface. |
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57 | ! |
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58 | ! Authors |
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59 | ! ------- |
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60 | ! Francois Forget (1996) |
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61 | ! Converted to Fortran 90 and slightly modified by R. Wordsworth (2009) |
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62 | ! Includes simplifed nucleation by J. Leconte (2011) |
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63 | ! |
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64 | !================================================================== |
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65 | |
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66 | !-------------------------- |
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67 | ! Arguments |
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68 | !-------------------------- |
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69 | |
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70 | |
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71 | INTEGER,INTENT(IN) :: ngrid |
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72 | INTEGER,INTENT(IN) :: nlayer |
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73 | INTEGER,INTENT(IN) :: nq |
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74 | REAL,INTENT(IN) :: ptimestep |
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75 | REAL,INTENT(IN) :: pcapcal(ngrid) |
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76 | REAL,INTENT(IN) :: pplay(ngrid,nlayer) |
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77 | REAL,INTENT(IN) :: pplev(ngrid,nlayer+1) |
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78 | REAL,INTENT(IN) :: ptsrf(ngrid) |
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79 | REAL,INTENT(IN) :: pt(ngrid,nlayer) |
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80 | REAL,INTENT(IN) :: pdt(ngrid,nlayer) |
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81 | REAL,INTENT(IN) :: pdtsrf(ngrid) |
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82 | REAL,INTENT(IN) :: pq(ngrid,nlayer,nq) |
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83 | REAL,INTENT(IN) :: pqsurf(ngrid,nq) |
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84 | REAL,INTENT(IN) :: pdq(ngrid,nlayer,nq) |
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85 | REAL,INTENT(IN) :: albedo_bareground(ngrid) |
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86 | REAL,INTENT(IN) :: albedo_co2_ice_SPECTV(L_NSPECTV) |
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87 | REAL,INTENT(INOUT) :: albedo(ngrid,L_NSPECTV) |
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88 | REAL,INTENT(OUT) :: pemisurf(ngrid) |
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89 | REAL,INTENT(OUT) :: pdtc(ngrid,nlayer) |
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90 | REAL,INTENT(OUT) :: pdtsrfc(ngrid) |
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91 | REAL,INTENT(OUT) :: pdpsrfc(ngrid) |
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92 | REAL,INTENT(OUT) :: pdqc(ngrid,nlayer,nq) |
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93 | REAL,INTENT(OUT) :: pdqsurfc(ngrid) |
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94 | |
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95 | !------------------------------ |
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96 | ! Local variables |
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97 | !------------------------------ |
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98 | |
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99 | INTEGER l,ig,icap,ilay,iq,nw,igas,it |
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100 | |
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101 | REAL reffrad(ngrid,nlayer) ! Radius (m) of the CO2 ice particles. |
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102 | REAL*8 zt(ngrid,nlayer) ! Updated Atmospheric Temperatures (K). |
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103 | REAL ztsrf(ngrid) ! Updated Surface Temperatures (K). |
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104 | REAL zq(ngrid,nlayer,nq) ! Updated Atmospheric tracers mixing ratios (kg/kg of air). |
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105 | REAL piceco2(ngrid) ! Updated Surface Tracer (kg/m2). |
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106 | REAL ztcond (ngrid,nlayer) ! Atmospheric Temperatures of condensation of CO2. |
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107 | REAL ztnuc (ngrid,nlayer) ! Atmospheric Nucleation Temperatures. |
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108 | REAL ztcondsol(ngrid) ! Temperatures of condensation of CO2 at the surface. |
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109 | REAL zcondices(ngrid) ! Condensation rate on the ground (kg/m2/s). |
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110 | REAL zfallice(ngrid) ! Flux of ice falling on the surface (kg/m2/s). |
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111 | REAL Mfallice(ngrid) ! Total amount of ice fallen to the ground during the timestep (kg/m2). |
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112 | REAL wq(ngrid,nlayer+1) ! Total amount of ice fallen to the ground during the timestep (kg/m2). |
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113 | REAL subptimestep ! Duration of the subtimestep (s) for the sedimentation. |
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114 | Integer Ntime ! Number of subtimesteps. |
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115 | REAL masse (ngrid,nlayer) ! Mass of atmospheric layers (kg/m2) |
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116 | REAL w(ngrid,nlayer,nq) ! |
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117 | REAL vstokes,reff ! |
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118 | REAL ppco2 ! |
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119 | |
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120 | |
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121 | !------------------------------------------ |
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122 | ! Saved local variables |
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123 | !------------------------------------------ |
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124 | |
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125 | |
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126 | REAL,SAVE :: latcond=5.9e5 |
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127 | REAL,SAVE :: ccond |
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128 | REAL,SAVE,ALLOCATABLE,DIMENSION(:) :: emisref |
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129 | !$OMP THREADPRIVATE(latcond,ccond,emisref) |
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130 | LOGICAL,SAVE :: firstcall=.true. |
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131 | !$OMP THREADPRIVATE(firstcall) |
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132 | INTEGER,SAVE :: i_co2ice=0 ! co2 ice |
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133 | !$OMP THREADPRIVATE(i_co2ice) |
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134 | CHARACTER(LEN=20) :: tracername ! to temporarily store text |
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135 | |
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136 | |
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137 | !------------------------------------------------ |
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138 | ! Initialization at the first call |
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139 | !------------------------------------------------ |
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140 | |
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141 | |
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142 | IF (firstcall) THEN |
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143 | |
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144 | ALLOCATE(emisref(ngrid)) |
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145 | ! Find CO2 ice tracer. |
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146 | do iq=1,nq |
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147 | tracername=noms(iq) |
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148 | if (tracername.eq."co2_ice") then |
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149 | i_co2ice=iq |
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150 | endif |
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151 | enddo |
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152 | |
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153 | write(*,*) "condense_co2: i_co2ice=",i_co2ice |
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154 | |
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155 | if((i_co2ice.lt.1))then |
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156 | print*,'In condens_cloud but no CO2 ice tracer, exiting.' |
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157 | print*,'Still need generalisation to arbitrary species!' |
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158 | stop |
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159 | endif |
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160 | |
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161 | ccond=cpp/(g*latcond) |
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162 | print*,'In condens_cloud: ccond=',ccond,' latcond=',latcond |
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163 | |
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164 | ! Prepare special treatment if gas is not pure CO2 |
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165 | ! if (addn2) then |
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166 | ! m_co2 = 44.01E-3 ! CO2 molecular mass (kg/mol) |
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167 | ! m_noco2 = 28.02E-3 ! N2 molecular mass (kg/mol) |
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168 | ! Compute A and B coefficient use to compute |
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169 | ! mean molecular mass Mair defined by |
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170 | ! 1/Mair = q(ico2)/m_co2 + (1-q(ico2))/m_noco2 |
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171 | ! 1/Mair = A*q(ico2) + B |
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172 | ! A = (1/m_co2 - 1/m_noco2) |
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173 | ! B = 1/m_noco2 |
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174 | ! endif |
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175 | |
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176 | ! Minimum CO2 mixing ratio below which mixing occurs with layer above : qco2min =0.75 |
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177 | |
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178 | firstcall=.false. |
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179 | ENDIF |
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180 | |
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181 | |
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182 | !------------------------------------------------ |
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183 | ! Tendencies initially set to 0 |
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184 | !------------------------------------------------ |
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185 | |
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186 | |
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187 | pdqc(1:ngrid,1:nlayer,1:nq) = 0. |
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188 | pdtc(1:ngrid,1:nlayer) = 0. |
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189 | zq(1:ngrid,1:nlayer,1:nq) = 0. |
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190 | zt(1:ngrid,1:nlayer) = 0. |
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191 | Mfallice(1:ngrid) = 0. |
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192 | zfallice(1:ngrid) = 0. |
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193 | zcondices(1:ngrid) = 0. |
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194 | pdtsrfc(1:ngrid) = 0. |
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195 | pdpsrfc(1:ngrid) = 0. |
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196 | pdqsurfc(1:ngrid) = 0. |
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197 | |
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198 | |
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199 | !---------------------------------- |
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200 | ! Atmospheric condensation |
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201 | !---------------------------------- |
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202 | |
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203 | |
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204 | ! Compute CO2 Volume mixing ratio |
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205 | ! ------------------------------- |
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206 | ! if (addn2) then |
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207 | ! DO l=1,nlayer |
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208 | ! DO ig=1,ngrid |
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209 | ! qco2=pq(ig,l,ico2)+pdq(ig,l,ico2)*ptimestep |
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210 | ! Mean air molecular mass = 1/(q(ico2)/m_co2 + (1-q(ico2))/m_noco2) |
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211 | ! mmean=1/(A*qco2 +B) |
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212 | ! vmr_co2(ig,l) = qco2*mmean/m_co2 |
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213 | ! ENDDO |
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214 | ! ENDDO |
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215 | ! else |
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216 | ! DO l=1,nlayer |
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217 | ! DO ig=1,ngrid |
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218 | ! vmr_co2(ig,l)=0.5 |
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219 | ! ENDDO |
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220 | ! ENDDO |
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221 | ! end if |
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222 | |
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223 | |
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224 | ! Forecast the atmospheric frost temperature 'ztcond' and nucleation temperature 'ztnuc'. |
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225 | DO l=1,nlayer |
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226 | DO ig=1,ngrid |
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227 | ppco2=gfrac(igas_CO2)*pplay(ig,l) |
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228 | call get_tcond_co2(ppco2,ztcond(ig,l)) |
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229 | call get_tnuc_co2(ppco2,ztnuc(ig,l)) |
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230 | ENDDO |
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231 | ENDDO |
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232 | |
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233 | ! Initialize zq and zt at the beginning of the sub-timestep loop and qsurf. |
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234 | DO ig=1,ngrid |
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235 | piceco2(ig)=pqsurf(ig,i_co2ice) |
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236 | DO l=1,nlayer |
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237 | zt(ig,l)=pt(ig,l) |
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238 | zq(ig,l,i_co2ice)=pq(ig,l,i_co2ice) |
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239 | IF( zq(ig,l,i_co2ice).lt.-1.e-6 ) THEN |
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240 | print*,'Uh-oh, zq = ',zq(ig,l,i_co2ice),'at ig,l=',ig,l |
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241 | if(l.eq.1)then |
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242 | print*,'Perhaps the atmosphere is collapsing on surface...?' |
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243 | endif |
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244 | END IF |
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245 | ENDDO |
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246 | ENDDO |
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247 | |
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248 | ! Calculate the mass of each atmospheric layer (kg.m-2) |
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249 | do ilay=1,nlayer |
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250 | DO ig=1,ngrid |
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251 | masse(ig,ilay)=(pplev(ig,ilay) - pplev(ig,ilay+1)) /g |
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252 | end do |
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253 | end do |
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254 | |
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255 | |
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256 | !----------------------------------------------------------- |
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257 | ! START CONDENSATION/SEDIMENTATION SUB-TIME LOOP |
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258 | !----------------------------------------------------------- |
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259 | |
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260 | |
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261 | Ntime = 20 ! number of sub-timestep |
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262 | subptimestep = ptimestep/float(Ntime) |
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263 | |
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264 | ! Add the tendencies from other physical processes at each subtimstep. |
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265 | DO it=1,Ntime |
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266 | DO l=1,nlayer |
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267 | DO ig=1,ngrid |
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268 | zt(ig,l) = zt(ig,l) + pdt(ig,l) * subptimestep |
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269 | zq(ig,l,i_co2ice) = zq(ig,l,i_co2ice) + pdq(ig,l,i_co2ice) * subptimestep |
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270 | END DO |
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271 | END DO |
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272 | |
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273 | ! Gravitational sedimentation starts. |
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274 | |
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275 | ! Sedimentation computed from radius computed from q in module radii_mod. |
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276 | call co2_reffrad(ngrid,nlayer,nq,zq,reffrad) |
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277 | |
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278 | DO ilay=1,nlayer |
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279 | DO ig=1,ngrid |
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280 | |
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281 | reff = reffrad(ig,ilay) |
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282 | |
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283 | call stokes & |
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284 | (pplev(ig,ilay),pt(ig,ilay), & |
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285 | reff,vstokes,rho_co2) |
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286 | |
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287 | !w(ig,ilay,i_co2ice) = 0.0 |
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288 | w(ig,ilay,i_co2ice) = vstokes * subptimestep * & |
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289 | pplev(ig,ilay)/(r*pt(ig,ilay)) |
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290 | |
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291 | END DO |
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292 | END DO |
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293 | |
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294 | ! Computing q after sedimentation |
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295 | call vlz_fi(ngrid,nlayer,zq(1,1,i_co2ice),2.,masse,w(1,1,i_co2ice),wq) |
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296 | |
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297 | |
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298 | ! Progressively accumulating the flux to the ground. |
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299 | ! Mfallice is the total amount of ice fallen to the ground. |
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300 | DO ig=1,ngrid |
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301 | Mfallice(ig) = Mfallice(ig) + wq(ig,i_co2ice) |
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302 | END DO |
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303 | |
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304 | !---------------------------------------------------------- |
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305 | ! Condensation / sublimation in the atmosphere |
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306 | !---------------------------------------------------------- |
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307 | ! (MODIFICATIONS FOR EARLY MARS: falling heat neglected, condensation of CO2 into tracer i_co2ice) |
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308 | |
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309 | |
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310 | DO l=nlayer , 1, -1 |
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311 | DO ig=1,ngrid |
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312 | pdtc(ig,l)=0. |
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313 | |
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314 | ! ztcond-> ztnuc in test beneath to nucleate only when super saturation occurs(JL 2011) |
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315 | IF ((zt(ig,l).LT.ztnuc(ig,l)).or.(zq(ig,l,i_co2ice).gt.1.E-10)) THEN |
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316 | pdtc(ig,l) = (ztcond(ig,l) - zt(ig,l))/subptimestep |
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317 | pdqc(ig,l,i_co2ice) = pdtc(ig,l)*ccond*g |
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318 | |
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319 | ! Case when the ice from above sublimes entirely |
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320 | IF ((zq(ig,l,i_co2ice).lt.-pdqc(ig,l,i_co2ice)*subptimestep) & |
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321 | .AND. (zq(ig,l,i_co2ice).gt.0)) THEN |
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322 | |
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323 | pdqc(ig,l,i_co2ice) = -zq(ig,l,i_co2ice)/subptimestep |
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324 | pdtc(ig,l) =-zq(ig,l,i_co2ice)/(ccond*g*subptimestep) |
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325 | |
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326 | END IF |
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327 | |
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328 | ! Temperature and q after condensation |
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329 | zt(ig,l) = zt(ig,l) + pdtc(ig,l) * subptimestep |
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330 | zq(ig,l,i_co2ice) = zq(ig,l,i_co2ice) + pdqc(ig,l,i_co2ice) * subptimestep |
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331 | END IF |
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332 | |
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333 | ENDDO |
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334 | ENDDO |
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335 | |
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336 | ENDDO! end of subtimestep loop. |
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337 | |
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338 | ! Computing global tendencies after the subtimestep. |
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339 | DO l=1,nlayer |
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340 | DO ig=1,ngrid |
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341 | pdtc(ig,l) = & |
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342 | (zt(ig,l) - (pt(ig,l) + pdt(ig,l)*ptimestep))/ptimestep |
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343 | pdqc(ig,l,i_co2ice) = & |
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344 | (zq(ig,l,i_co2ice)-(pq(ig,l,i_co2ice)+pdq(ig,l,i_co2ice)*ptimestep))/ptimestep |
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345 | END DO |
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346 | END DO |
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347 | DO ig=1,ngrid |
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348 | zfallice(ig) = Mfallice(ig)/ptimestep |
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349 | END DO |
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350 | |
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351 | |
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352 | !----------------------------------------------------------------------- |
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353 | ! Condensation/sublimation on the ground |
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354 | !----------------------------------------------------------------------- |
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355 | |
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356 | |
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357 | ! Forecast of ground temperature ztsrf and frost temperature ztcondsol. |
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358 | DO ig=1,ngrid |
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359 | ppco2=gfrac(igas_CO2)*pplay(ig,1) |
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360 | call get_tcond_co2(ppco2,ztcondsol(ig)) |
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361 | |
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362 | ztsrf(ig) = ptsrf(ig) |
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363 | |
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364 | if((ztsrf(ig).le.ztcondsol(ig)+2.0).and.(ngrid.eq.1))then |
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365 | print*,'CO2 is condensing on the surface in 1D. This atmosphere is doomed.' |
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366 | print*,'T_surf = ',ztsrf,'K' |
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367 | print*,'T_cond = ',ztcondsol,'K' |
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368 | open(116,file='surf_vals.out') |
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369 | write(116,*) 0.0, pplev(1,1), 0.0, 0.0 |
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370 | close(116) |
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371 | call abort |
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372 | endif |
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373 | |
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374 | ztsrf(ig) = ptsrf(ig) + pdtsrf(ig)*ptimestep |
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375 | |
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376 | ENDDO |
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377 | |
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378 | DO ig=1,ngrid |
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379 | |
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380 | IF(ig.GT.ngrid/2+1) THEN |
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381 | icap=2 |
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382 | ELSE |
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383 | icap=1 |
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384 | ENDIF |
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385 | |
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386 | ! Loop over where we have condensation / sublimation |
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387 | IF ((ztsrf(ig) .LT. ztcondsol(ig)) .OR. & ! ground condensation |
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388 | (zfallice(ig).NE.0.) .OR. & ! falling snow |
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389 | ((ztsrf(ig) .GT. ztcondsol(ig)) .AND. & ! ground sublimation |
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390 | ((piceco2(ig)+zfallice(ig)*ptimestep) .NE. 0.))) THEN |
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391 | |
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392 | |
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393 | ! Condensation or partial sublimation of CO2 ice |
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394 | zcondices(ig)=pcapcal(ig)*(ztcondsol(ig)-ztsrf(ig)) & |
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395 | /(latcond*ptimestep) |
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396 | pdtsrfc(ig) = (ztcondsol(ig) - ztsrf(ig))/ptimestep |
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397 | |
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398 | ! If the entire CO_2 ice layer sublimes |
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399 | ! (including what has just condensed in the atmosphere) |
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400 | IF((piceco2(ig)/ptimestep+zfallice(ig)).LE. & |
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401 | -zcondices(ig))THEN |
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402 | zcondices(ig) = -piceco2(ig)/ptimestep - zfallice(ig) |
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403 | pdtsrfc(ig)=(latcond/pcapcal(ig))* & |
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404 | (zcondices(ig)) |
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405 | END IF |
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406 | |
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407 | ! Changing CO2 ice amount and pressure |
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408 | piceco2(ig) = piceco2(ig) + pdqsurfc(ig)*ptimestep |
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409 | pdqsurfc(ig) = zcondices(ig) + zfallice(ig) |
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410 | pdpsrfc(ig) = -pdqsurfc(ig)*g |
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411 | |
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412 | IF(ABS(pdpsrfc(ig)*ptimestep).GT.pplev(ig,1)) THEN |
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413 | PRINT*,'STOP in condens in condense_co2' |
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414 | PRINT*,'condensing more than total mass' |
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415 | PRINT*,'Grid point ',ig |
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416 | PRINT*,'Ps = ',pplev(ig,1) |
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417 | PRINT*,'d Ps = ',pdpsrfc(ig) |
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418 | STOP |
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419 | ENDIF |
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420 | END IF |
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421 | |
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422 | ENDDO ! end of ngrid loop. |
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423 | |
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424 | |
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425 | !--------------------------------------------------------------------------------------------- |
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426 | ! Surface albedo and emissivity of the ground below the snow (emisref) |
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427 | !--------------------------------------------------------------------------------------------- |
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428 | |
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429 | |
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430 | DO ig=1,ngrid |
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431 | |
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432 | IF(latitude(ig).LT.0.) THEN |
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433 | icap=2 ! Southern Hemisphere |
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434 | ELSE |
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435 | icap=1 ! Nortnern hemisphere |
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436 | ENDIF |
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437 | |
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438 | if(.not.piceco2(ig).ge.0.) THEN |
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439 | if(piceco2(ig).le.-1.e-8) print*, & |
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440 | 'WARNING : in condense_co2cloud: piceco2(',ig,')=', piceco2(ig) |
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441 | piceco2(ig)=0. |
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442 | endif |
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443 | if (piceco2(ig) .gt. 1.) then ! CO2 Albedo condition changed to ~1 mm coverage. Change by MT2015. |
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444 | DO nw=1,L_NSPECTV |
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445 | albedo(ig,nw) = albedo_co2_ice_SPECTV(nw) |
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446 | ENDDO |
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447 | emisref(ig) = emisice(icap) |
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448 | else |
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449 | DO nw=1,L_NSPECTV |
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450 | albedo(ig,nw) = albedo_bareground(ig) ! Note : If you have some water, it will be taken into account in the "hydrol" routine. |
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451 | ENDDO |
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452 | emisref(ig) = emissiv |
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453 | pemisurf(ig) = emissiv |
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454 | end if |
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455 | |
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456 | END DO |
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457 | |
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458 | return |
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459 | |
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460 | end subroutine condense_co2 |
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461 | |
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462 | |
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463 | |
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464 | !------------------------------------------------------------------------- |
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465 | !------------------------------------------------------------------------- |
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466 | !------------------------------------------------------------------------- |
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467 | !------------------------------------------------------------------------- |
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468 | !------------------------------------------------------------------------- |
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469 | !------------------------------------------------------------------------- |
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470 | |
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471 | |
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472 | |
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473 | subroutine get_tcond_co2(p,tcond) ! Calculates the condensation temperature for CO2 |
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474 | |
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475 | |
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476 | implicit none |
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477 | |
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478 | real p, peff, tcond |
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479 | real, parameter :: ptriple=518000.0 |
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480 | |
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481 | peff=p |
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482 | |
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483 | if(peff.lt.ptriple) then |
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484 | tcond = (-3167.8)/(log(.01*peff)-23.23) ! Fanale's formula. |
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485 | else |
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486 | tcond = 684.2-92.3*log(peff)+4.32*log(peff)**2 ! liquid-vapour transition (based on CRC handbook 2003 data) |
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487 | endif |
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488 | return |
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489 | |
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490 | end subroutine get_tcond_co2 |
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491 | |
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492 | |
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493 | |
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494 | !------------------------------------------------------------------------- |
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495 | !------------------------------------------------------------------------- |
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496 | !------------------------------------------------------------------------- |
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497 | !------------------------------------------------------------------------- |
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498 | !------------------------------------------------------------------------- |
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499 | !------------------------------------------------------------------------- |
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500 | |
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501 | |
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502 | |
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503 | subroutine get_tnuc_co2(p,tnuc) |
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504 | ! Calculates the nucleation temperature for CO2, based on a simple super saturation criterion. JL 2011. |
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505 | |
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506 | use callkeys_mod, only: co2supsat |
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507 | |
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508 | implicit none |
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509 | |
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510 | real p, peff, tnuc |
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511 | real, parameter :: ptriple=518000.0 |
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512 | |
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513 | peff=p/co2supsat |
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514 | |
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515 | if(peff.lt.ptriple) then |
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516 | tnuc = (-3167.8)/(log(.01*peff)-23.23) ! Fanale's formula |
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517 | else |
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518 | tnuc = 684.2-92.3*log(peff)+4.32*log(peff)**2 |
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519 | ! liquid-vapour transition (based on CRC handbook 2003 data) |
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520 | endif |
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521 | |
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522 | return |
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523 | |
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524 | end subroutine get_tnuc_co2 |
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