1 | subroutine condense_cloud(ngrid,nlayer,nq,ptimestep, & |
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2 | pcapcal,pplay,pplev,ptsrf,pt, & |
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3 | pphi,pdt,pdu,pdv,pdtsrf,pu,pv,pq,pdq, & |
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4 | piceco2,psolaralb,pemisurf, & |
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5 | pdtc,pdtsrfc,pdpsrf,pduc,pdvc, & |
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6 | pdqc,reffrad) |
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7 | |
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8 | use radinc_h, only : naerkind |
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9 | use gases_h |
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10 | |
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11 | implicit none |
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12 | |
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13 | !================================================================== |
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14 | ! Purpose |
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15 | ! ------- |
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16 | ! Condense and/or sublime CO2 ice on the ground and in the |
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17 | ! atmosphere, and sediment the ice. |
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18 | ! |
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19 | ! Inputs |
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20 | ! ------ |
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21 | ! ngrid Number of vertical columns |
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22 | ! nlayer Number of layers |
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23 | ! pplay(ngrid,nlayer) Pressure layers |
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24 | ! pplev(ngrid,nlayer+1) Pressure levels |
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25 | ! pt(ngrid,nlayer) Temperature (in K) |
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26 | ! ptsrf(ngrid) Surface temperature |
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27 | ! |
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28 | ! pdt(ngrid,nlayermx) Time derivative before condensation/sublimation of pt |
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29 | ! pdtsrf(ngrid) Time derivative before condensation/sublimation of ptsrf |
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30 | ! pqsurf(ngrid,nq) Sedimentation flux at the surface (kg.m-2.s-1) |
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31 | ! |
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32 | ! Outputs |
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33 | ! ------- |
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34 | ! pdpsrf(ngrid) \ Contribution of condensation/sublimation |
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35 | ! pdtc(ngrid,nlayermx) / to the time derivatives of Ps, pt, and ptsrf |
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36 | ! pdtsrfc(ngrid) / |
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37 | ! |
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38 | ! Both |
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39 | ! ---- |
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40 | ! piceco2(ngrid) CO2 ice at the surface (kg/m2) |
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41 | ! psolaralb(ngrid) Albedo at the surface |
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42 | ! pemisurf(ngrid) Emissivity of the surface |
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43 | ! |
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44 | ! Authors |
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45 | ! ------- |
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46 | ! Francois Forget (1996) |
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47 | ! Converted to Fortran 90 and slightly modified by R. Wordsworth (2009) |
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48 | ! Includes simplifed nucleation by J. Leconte (2011) |
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49 | ! |
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50 | !================================================================== |
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51 | |
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52 | #include "dimensions.h" |
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53 | #include "dimphys.h" |
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54 | #include "comcstfi.h" |
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55 | #include "surfdat.h" |
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56 | #include "comgeomfi.h" |
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57 | #include "comvert.h" |
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58 | #include "callkeys.h" |
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59 | #include "tracer.h" |
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60 | |
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61 | !----------------------------------------------------------------------- |
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62 | ! Arguments |
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63 | |
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64 | INTEGER ngrid, nlayer, nq |
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65 | |
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66 | REAL ptimestep |
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67 | REAL pplay(ngrid,nlayer),pplev(ngrid,nlayer+1) |
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68 | REAL pcapcal(ngrid) |
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69 | REAL pt(ngrid,nlayer) |
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70 | REAL ptsrf(ngrid) |
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71 | REAL pphi(ngrid,nlayer) |
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72 | REAL pdt(ngrid,nlayer),pdtsrf(ngrid),pdtc(ngrid,nlayer) |
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73 | REAL pdtsrfc(ngrid),pdpsrf(ngrid) |
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74 | ! REAL piceco2(ngrid),psolaralb(ngrid,2),pemisurf(ngrid) |
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75 | REAL piceco2(ngrid),psolaralb(ngrid),pemisurf(ngrid) |
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76 | |
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77 | REAL pu(ngrid,nlayer) , pv(ngrid,nlayer) |
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78 | REAL pdu(ngrid,nlayer) , pdv(ngrid,nlayer) |
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79 | REAL pduc(ngrid,nlayer) , pdvc(ngrid,nlayer) |
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80 | REAL pq(ngridmx,nlayer,nq),pdq(ngrid,nlayer,nq) |
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81 | REAL pdqc(ngrid,nlayer,nq), pdqsc(ngrid,nq) |
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82 | |
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83 | REAL reffrad(ngrid,nlayer,naerkind) |
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84 | |
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85 | |
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86 | |
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87 | !----------------------------------------------------------------------- |
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88 | ! Local variables |
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89 | |
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90 | INTEGER l,ig,icap,ilay,it,iq |
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91 | |
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92 | REAL*8 zt(ngridmx,nlayermx) |
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93 | REAL zq(ngridmx,nlayermx,nqmx) |
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94 | REAL zcpi |
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95 | REAL ztcond (ngridmx,nlayermx) |
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96 | REAL ztnuc (ngridmx,nlayermx) |
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97 | REAL ztcondsol(ngridmx) |
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98 | REAL zdiceco2(ngridmx) |
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99 | REAL zcondicea(ngridmx,nlayermx), zcondices(ngridmx) |
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100 | REAL zfallice(ngridmx), Mfallice(ngridmx) |
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101 | REAL zmflux(nlayermx+1) |
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102 | REAL zu(nlayermx),zv(nlayermx) |
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103 | REAL ztsrf(ngridmx) |
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104 | REAL ztc(nlayermx), ztm(nlayermx+1) |
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105 | REAL zum(nlayermx+1) , zvm(nlayermx+1) |
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106 | LOGICAL condsub(ngridmx) |
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107 | REAL subptimestep |
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108 | Integer Ntime |
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109 | real masse (ngridmx,nlayermx), w(ngridmx,nlayermx,nqmx) |
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110 | real wq(ngridmx,nlayermx+1) |
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111 | real vstokes,reff |
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112 | |
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113 | ! Special diagnostic variables |
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114 | real tconda1(ngridmx,nlayermx) |
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115 | real tconda2(ngridmx,nlayermx) |
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116 | real zdtsig (ngridmx,nlayermx) |
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117 | real zdt (ngridmx,nlayermx) |
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118 | |
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119 | !----------------------------------------------------------------------- |
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120 | ! Saved local variables |
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121 | |
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122 | REAL emisref(ngridmx) |
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123 | REAL latcond |
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124 | REAL ccond |
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125 | REAL cpice |
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126 | SAVE emisref, cpice |
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127 | SAVE latcond,ccond |
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128 | |
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129 | LOGICAL firstcall |
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130 | SAVE firstcall |
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131 | REAL SSUM |
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132 | EXTERNAL SSUM |
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133 | |
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134 | DATA latcond /5.9e5/ |
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135 | DATA cpice /1000./ |
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136 | DATA firstcall/.true./ |
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137 | |
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138 | REAL CBRT |
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139 | EXTERNAL CBRT |
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140 | |
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141 | INTEGER,SAVE :: i_co2ice=0 ! co2 ice |
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142 | CHARACTER(LEN=20) :: tracername ! to temporarily store text |
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143 | |
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144 | integer igas |
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145 | integer,save :: igasco2=0 |
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146 | character(len=3) :: gasname |
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147 | |
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148 | real reffradmin, reffradmax |
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149 | |
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150 | real ppco2 |
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151 | |
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152 | !----------------------------------------------------------------------- |
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153 | ! Initializations |
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154 | |
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155 | call zerophys(ngrid*nlayer*nq,pdqc) |
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156 | call zerophys(ngrid*nlayer*nq,pdtc) |
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157 | call zerophys(ngridmx*nlayermx*nqmx,zq) |
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158 | call zerophys(ngridmx*nlayermx,zt) |
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159 | |
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160 | !reffradmin=1.e-7 |
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161 | !reffradmax=5.e-4 |
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162 | !reffradmin=0.5e-7 |
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163 | !reffradmax=0.1e-3 ! FF data |
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164 | reffradmin=0.1e-5 |
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165 | reffradmax=0.1e-3 ! JB data |
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166 | ! improve this in the future... |
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167 | |
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168 | ! Initialisation |
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169 | IF (firstcall) THEN |
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170 | |
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171 | ! find CO2 ice tracer |
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172 | do iq=1,nqmx |
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173 | tracername=noms(iq) |
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174 | if (tracername.eq."co2_ice") then |
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175 | i_co2ice=iq |
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176 | endif |
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177 | enddo |
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178 | |
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179 | ! find CO2 gas |
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180 | do igas=1,ngasmx |
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181 | gasname=gnom(igas) |
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182 | ! gasname=noms(igas) ! was a bug |
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183 | if (gasname.eq."CO2") then |
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184 | igasco2=igas |
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185 | endif |
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186 | enddo |
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187 | |
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188 | write(*,*) "condense_cloud: i_co2ice=",i_co2ice |
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189 | |
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190 | if((i_co2ice.lt.1))then |
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191 | print*,'In condens_cloud but no CO2 ice tracer, exiting.' |
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192 | print*,'Still need generalisation to arbitrary species!' |
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193 | stop |
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194 | endif |
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195 | |
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196 | ccond=cpp/(g*latcond) |
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197 | print*,'In condens_cloud: ccond=',ccond,' latcond=',latcond |
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198 | |
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199 | ! Prepare special treatment if gas is not pure CO2 |
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200 | !if (addn2) then |
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201 | ! m_co2 = 44.01E-3 ! CO2 molecular mass (kg/mol) |
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202 | ! m_noco2 = 28.02E-3 ! N2 molecular mass (kg/mol) |
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203 | ! Compute A and B coefficient use to compute |
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204 | ! mean molecular mass Mair defined by |
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205 | ! 1/Mair = q(ico2)/m_co2 + (1-q(ico2))/m_noco2 |
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206 | ! 1/Mair = A*q(ico2) + B |
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207 | ! A = (1/m_co2 - 1/m_noco2) |
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208 | ! B = 1/m_noco2 |
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209 | !endif |
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210 | |
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211 | ! Minimum CO2 mixing ratio below which mixing occurs with layer above: |
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212 | !qco2min =0.75 |
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213 | |
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214 | firstcall=.false. |
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215 | ENDIF |
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216 | zcpi=1./cpp |
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217 | |
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218 | !----------------------------------------------------------------------- |
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219 | ! Calculation of CO2 condensation / sublimation |
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220 | ! |
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221 | ! Variables used: |
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222 | ! piceco2(ngrid) amount of co2 ice on the ground (kg/m2) |
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223 | ! zcondicea(ngrid,l) condensation rate in layer l (kg/m2/s) |
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224 | ! zcondices(ngrid) condensation rate on the ground (kg/m2/s) |
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225 | ! zfallice(ngrid) flux of ice falling on surface (kg/m2/s) |
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226 | ! pdtc(ngrid,nlayermx) dT/dt due to phase changes (K/s) |
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227 | |
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228 | |
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229 | ! Tendencies initially set to 0 (except pdtc) |
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230 | DO l=1,nlayer |
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231 | DO ig=1,ngrid |
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232 | zcondicea(ig,l) = 0. |
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233 | pduc(ig,l) = 0 |
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234 | pdvc(ig,l) = 0 |
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235 | pdqc(ig,l,i_co2ice) = 0 |
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236 | END DO |
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237 | END DO |
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238 | |
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239 | DO ig=1,ngrid |
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240 | Mfallice(ig) = 0. |
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241 | zfallice(ig) = 0. |
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242 | zcondices(ig) = 0. |
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243 | pdtsrfc(ig) = 0. |
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244 | pdpsrf(ig) = 0. |
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245 | condsub(ig) = .false. |
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246 | zdiceco2(ig) = 0. |
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247 | ENDDO |
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248 | |
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249 | !----------------------------------------------------------------------- |
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250 | ! Atmospheric condensation |
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251 | |
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252 | |
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253 | ! Compute CO2 Volume mixing ratio |
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254 | ! ------------------------------- |
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255 | ! if (addn2) then |
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256 | ! DO l=1,nlayer |
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257 | ! DO ig=1,ngrid |
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258 | ! qco2=pq(ig,l,ico2)+pdq(ig,l,ico2)*ptimestep |
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259 | !! Mean air molecular mass = 1/(q(ico2)/m_co2 + (1-q(ico2))/m_noco2) |
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260 | ! mmean=1/(A*qco2 +B) |
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261 | ! vmr_co2(ig,l) = qco2*mmean/m_co2 |
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262 | ! ENDDO |
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263 | ! ENDDO |
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264 | ! else |
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265 | ! DO l=1,nlayer |
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266 | ! DO ig=1,ngrid |
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267 | ! vmr_co2(ig,l)=0.5 |
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268 | ! ENDDO |
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269 | ! ENDDO |
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270 | ! end if |
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271 | |
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272 | ! Forecast the atmospheric frost temperature 'ztcond' and nucleation temperature 'ztnuc' |
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273 | DO l=1,nlayer |
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274 | DO ig=1,ngrid |
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275 | ppco2=gfrac(igasco2)*pplay(ig,l) |
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276 | call get_tcond_co2(ppco2,ztcond(ig,l)) |
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277 | call get_tnuc_co2(ppco2,ztnuc(ig,l)) |
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278 | ENDDO |
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279 | ENDDO |
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280 | |
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281 | ! Initialize zq and zt at the beginning of the sub-timestep loop |
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282 | DO l=1,nlayer |
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283 | DO ig=1,ngrid |
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284 | zt(ig,l)=pt(ig,l) |
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285 | zq(ig,l,i_co2ice)=pq(ig,l,i_co2ice) |
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286 | IF( zq(ig,l,i_co2ice).lt.-1.e-6 ) THEN |
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287 | print*,'Uh-oh, zq = ',zq(ig,l,i_co2ice),'at ig,l=',ig,l |
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288 | if(l.eq.1)then |
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289 | print*,'Perhaps the atmosphere is collapsing on surface...?' |
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290 | endif |
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291 | END IF |
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292 | ENDDO |
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293 | ENDDO |
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294 | |
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295 | ! Calculate the mass of each atmospheric layer (kg.m-2) |
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296 | do ilay=1,nlayer |
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297 | do ig=1, ngrid |
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298 | masse(ig,ilay)=(pplev(ig,ilay) - pplev(ig,ilay+1)) /g |
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299 | end do |
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300 | end do |
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301 | |
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302 | ! ----------------------------------------------- |
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303 | ! START CONDENSATION/SEDIMENTATION SUB-TIME LOOP |
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304 | ! ----------------------------------------------- |
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305 | Ntime = 20 ! number of sub-timestep |
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306 | subptimestep = ptimestep/float(Ntime) |
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307 | |
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308 | DO it=1,Ntime |
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309 | |
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310 | ! Add the tendencies from other physical processes at each subtimstep |
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311 | DO l=1,nlayer |
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312 | DO ig=1,ngrid |
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313 | zt(ig,l) = zt(ig,l) + pdt(ig,l) * subptimestep |
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314 | zq(ig,l,i_co2ice) = zq(ig,l,i_co2ice) + pdq(ig,l,i_co2ice) * subptimestep |
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315 | END DO |
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316 | END DO |
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317 | |
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318 | |
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319 | ! Gravitational sedimentation |
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320 | |
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321 | ! sedimentation computed from radius computed from q |
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322 | ! assuming that the ice is splitted in Nmix particle |
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323 | do ilay=1,nlayer |
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324 | do ig=1, ngrid |
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325 | |
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326 | reff = CBRT( 3*zq(ig,ilay,i_co2ice)/( 4*Nmix_co2*pi*rho_co2 )) |
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327 | |
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328 | ! there should be a more elegant way of doing this... |
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329 | if(reff.lt.1.e-16) reff=1.e-16 |
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330 | |
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331 | ! update reffrad for radiative transfer |
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332 | if(reff.lt.reffradmin)then |
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333 | reffrad(ig,ilay,1)=reffradmin |
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334 | !print*,'reff below optical limit' |
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335 | elseif(reff.gt.reffradmax)then |
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336 | reffrad(ig,ilay,1)=reffradmax |
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337 | !print*,'reff above optical limit' |
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338 | else |
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339 | reffrad(ig,ilay,1)=reff |
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340 | endif |
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341 | |
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342 | call stokes & |
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343 | (pplev(ig,ilay),pt(ig,ilay), & |
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344 | reff,vstokes,rho_co2) |
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345 | |
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346 | !w(ig,ilay,i_co2ice) = 0.0 |
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347 | w(ig,ilay,i_co2ice) = vstokes * subptimestep * & |
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348 | pplev(ig,ilay)/(r*pt(ig,ilay)) |
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349 | |
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350 | end do |
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351 | end do |
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352 | |
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353 | ! Computing q after sedimentation |
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354 | |
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355 | call vlz_fi(ngrid,zq(1,1,i_co2ice),2.,masse,w(1,1,i_co2ice),wq) |
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356 | |
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357 | |
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358 | ! Progressively accumulating the flux to the ground |
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359 | ! Mfallice is the total amount of ice fallen to the ground |
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360 | do ig=1,ngrid |
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361 | Mfallice(ig) = Mfallice(ig) + wq(ig,i_co2ice) |
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362 | end do |
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363 | |
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364 | |
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365 | ! Condensation / sublimation in the atmosphere |
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366 | ! -------------------------------------------- |
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367 | ! (calculation of zcondicea, zfallice and pdtc) |
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368 | ! (MODIFICATIONS FOR EARLY MARS: falling heat neglected, condensation |
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369 | ! of CO2 into tracer i_co2ice) |
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370 | |
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371 | DO l=nlayer , 1, -1 |
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372 | DO ig=1,ngrid |
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373 | pdtc(ig,l)=0. |
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374 | |
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375 | |
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376 | ! ztcond-> ztnuc in test beneath to nucleate only when super saturation occurs(JL 2011) |
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377 | IF ((zt(ig,l).LT.ztnuc(ig,l)).or.(zq(ig,l,i_co2ice).gt.1.E-10)) THEN |
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378 | condsub(ig)=.true. |
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379 | pdtc(ig,l) = (ztcond(ig,l) - zt(ig,l))/subptimestep |
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380 | pdqc(ig,l,i_co2ice) = pdtc(ig,l)*ccond*g |
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381 | |
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382 | ! Case when the ice from above sublimes entirely |
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383 | IF ((zq(ig,l,i_co2ice).lt.-pdqc(ig,l,i_co2ice)*subptimestep) & |
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384 | .AND. (zq(ig,l,i_co2ice).gt.0)) THEN |
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385 | |
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386 | pdqc(ig,l,i_co2ice) = -zq(ig,l,i_co2ice)/subptimestep |
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387 | pdtc(ig,l) =-zq(ig,l,i_co2ice)/(ccond*g*subptimestep) |
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388 | |
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389 | END IF |
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390 | |
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391 | ! Temperature and q after condensation |
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392 | zt(ig,l) = zt(ig,l) + pdtc(ig,l) * subptimestep |
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393 | zq(ig,l,i_co2ice) = zq(ig,l,i_co2ice) + pdqc(ig,l,i_co2ice) * subptimestep |
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394 | END IF |
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395 | |
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396 | ENDDO |
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397 | ENDDO |
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398 | ENDDO ! end of subtimestep loop |
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399 | |
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400 | ! Computing global tendencies after the subtimestep |
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401 | DO l=1,nlayer |
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402 | DO ig=1,ngrid |
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403 | pdtc(ig,l) = & |
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404 | (zt(ig,l) - (pt(ig,l) + pdt(ig,l)*ptimestep))/ptimestep |
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405 | pdqc(ig,l,i_co2ice) = & |
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406 | (zq(ig,l,i_co2ice)-(pq(ig,l,i_co2ice)+pdq(ig,l,i_co2ice)*ptimestep))/ptimestep |
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407 | END DO |
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408 | END DO |
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409 | DO ig=1,ngrid |
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410 | zfallice(ig) = Mfallice(ig)/ptimestep |
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411 | END DO |
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412 | |
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413 | |
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414 | !----------------------------------------------------------------------- |
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415 | ! Condensation/sublimation on the ground |
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416 | ! (calculation of zcondices and pdtsrfc) |
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417 | |
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418 | ! forecast of ground temperature ztsrf and frost temperature ztcondsol |
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419 | DO ig=1,ngrid |
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420 | ppco2=gfrac(igasco2)*pplay(ig,1) |
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421 | call get_tcond_co2(ppco2,ztcondsol(ig)) |
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422 | |
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423 | ztsrf(ig) = ptsrf(ig) |
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424 | |
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425 | if((ztsrf(ig).le.ztcondsol(ig)+2.0).and.(ngrid.eq.1))then |
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426 | print*,'CO2 is condensing on the surface in 1D. This atmosphere is doomed.' |
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427 | print*,'T_surf = ',ztsrf,'K' |
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428 | print*,'T_cond = ',ztcondsol,'K' |
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429 | open(116,file='surf_vals.out') |
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430 | write(116,*) 0.0, pplev(1,1), 0.0, 0.0 |
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431 | close(116) |
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432 | call abort |
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433 | endif |
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434 | |
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435 | ztsrf(ig) = ptsrf(ig) + pdtsrf(ig)*ptimestep |
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436 | |
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437 | ENDDO |
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438 | |
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439 | DO ig=1,ngrid |
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440 | IF(ig.GT.ngrid/2+1) THEN |
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441 | icap=2 |
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442 | ELSE |
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443 | icap=1 |
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444 | ENDIF |
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445 | |
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446 | ! Loop over where we have condensation / sublimation |
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447 | IF ((ztsrf(ig) .LT. ztcondsol(ig)) .OR. & ! ground condensation |
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448 | (zfallice(ig).NE.0.) .OR. & ! falling snow |
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449 | ((ztsrf(ig) .GT. ztcondsol(ig)) .AND. & ! ground sublimation |
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450 | ((piceco2(ig)+zfallice(ig)*ptimestep) .NE. 0.))) THEN |
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451 | condsub(ig) = .true. |
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452 | |
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453 | ! Condensation or partial sublimation of CO2 ice |
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454 | zcondices(ig)=pcapcal(ig)*(ztcondsol(ig)-ztsrf(ig)) & |
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455 | /(latcond*ptimestep) |
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456 | pdtsrfc(ig) = (ztcondsol(ig) - ztsrf(ig))/ptimestep |
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457 | |
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458 | ! If the entire CO_2 ice layer sublimes |
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459 | ! (including what has just condensed in the atmosphere) |
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460 | IF((piceco2(ig)/ptimestep+zfallice(ig)).LE. & |
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461 | -zcondices(ig))THEN |
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462 | zcondices(ig) = -piceco2(ig)/ptimestep - zfallice(ig) |
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463 | pdtsrfc(ig)=(latcond/pcapcal(ig))* & |
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464 | (zcondices(ig)) |
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465 | END IF |
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466 | |
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467 | ! Changing CO2 ice amount and pressure |
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468 | |
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469 | zdiceco2(ig) = zcondices(ig) + zfallice(ig) |
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470 | piceco2(ig) = piceco2(ig) + zdiceco2(ig)*ptimestep |
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471 | pdpsrf(ig) = -zdiceco2(ig)*g |
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472 | |
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473 | IF(ABS(pdpsrf(ig)*ptimestep).GT.pplev(ig,1)) THEN |
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474 | PRINT*,'STOP in condens' |
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475 | PRINT*,'condensing more than total mass' |
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476 | PRINT*,'Grid point ',ig |
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477 | PRINT*,'Ps = ',pplev(ig,1) |
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478 | PRINT*,'d Ps = ',pdpsrf(ig) |
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479 | STOP |
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480 | ENDIF |
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481 | END IF |
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482 | ENDDO |
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483 | |
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484 | ! Surface albedo and emissivity of the ground below the snow (emisref) |
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485 | ! -------------------------------------------------------------------- |
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486 | do ig =1,ngrid |
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487 | IF(ig.GT.ngrid/2+1) THEN |
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488 | icap=2 |
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489 | ELSE |
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490 | icap=1 |
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491 | ENDIF |
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492 | |
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493 | if(.not.piceco2(ig).ge.0.) THEN |
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494 | if(piceco2(ig).le.-1.e-8) print*, & |
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495 | 'WARNING in condense_co2cloud: piceco2(',ig,')=', piceco2(ig) |
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496 | piceco2(ig)=0. |
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497 | endif |
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498 | if (piceco2(ig).gt.0) then |
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499 | psolaralb(ig) = albedice(icap) |
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500 | emisref(ig) = emisice(icap) |
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501 | else |
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502 | psolaralb(ig) = albedodat(ig) |
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503 | emisref(ig) = emissiv |
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504 | pemisurf(ig) = emissiv |
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505 | end if |
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506 | end do |
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507 | |
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508 | return |
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509 | end subroutine condense_cloud |
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510 | |
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511 | !------------------------------------------------------------------------- |
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512 | subroutine get_tcond_co2(p,tcond) |
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513 | ! Calculates the condensation temperature for CO2 |
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514 | |
---|
515 | implicit none |
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516 | |
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517 | #include "callkeys.h" |
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518 | |
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519 | real p, peff, tcond |
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520 | real, parameter :: ptriple=518000.0 |
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521 | |
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522 | peff=p |
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523 | |
---|
524 | if(peff.lt.ptriple)then |
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525 | tcond = (-3167.8)/(log(.01*peff)-23.23) ! Fanale's formula |
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526 | else |
---|
527 | tcond = 684.2-92.3*log(peff)+4.32*log(peff)**2 |
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528 | ! liquid-vapour transition (based on CRC handbook 2003 data) |
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529 | endif |
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530 | return |
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531 | |
---|
532 | end subroutine get_tcond_co2 |
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533 | |
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534 | |
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535 | |
---|
536 | |
---|
537 | !------------------------------------------------------------------------- |
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538 | subroutine get_tnuc_co2(p,tnuc) |
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539 | ! Calculates the nucleation temperature for CO2, based on a simple super saturation criterion |
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540 | ! (JL 2011) |
---|
541 | |
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542 | implicit none |
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543 | |
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544 | #include "callkeys.h" |
---|
545 | |
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546 | real p, peff, tnuc |
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547 | real, parameter :: ptriple=518000.0 |
---|
548 | |
---|
549 | peff=p/co2supsat |
---|
550 | |
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551 | if(peff.lt.ptriple)then |
---|
552 | tnuc = (-3167.8)/(log(.01*peff)-23.23) ! Fanale's formula |
---|
553 | else |
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554 | tnuc = 684.2-92.3*log(peff)+4.32*log(peff)**2 |
---|
555 | ! liquid-vapour transition (based on CRC handbook 2003 data) |
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556 | endif |
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557 | return |
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558 | |
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559 | end subroutine get_tnuc_co2 |
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