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) |
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7 | |
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8 | use radinc_h, only : naerkind |
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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: albedodat, albedice, emisice, emissiv |
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13 | USE comgeomfi_h, only: lati |
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14 | USE tracer_h, only: noms, rho_co2 |
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15 | |
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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 |
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23 | ! atmosphere, and sediment the ice. |
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24 | ! |
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25 | ! Inputs |
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26 | ! ------ |
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27 | ! ngrid Number of vertical columns |
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28 | ! nlayer Number of layers |
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29 | ! pplay(ngrid,nlayer) Pressure layers |
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30 | ! pplev(ngrid,nlayer+1) Pressure levels |
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31 | ! pt(ngrid,nlayer) Temperature (in K) |
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32 | ! ptsrf(ngrid) Surface temperature |
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33 | ! |
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34 | ! pdt(ngrid,nlayer) Time derivative before condensation/sublimation of pt |
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35 | ! pdtsrf(ngrid) Time derivative before condensation/sublimation of ptsrf |
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36 | ! pqsurf(ngrid,nq) Sedimentation flux at the surface (kg.m-2.s-1) |
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37 | ! |
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38 | ! Outputs |
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39 | ! ------- |
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40 | ! pdpsrf(ngrid) \ Contribution of condensation/sublimation |
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41 | ! pdtc(ngrid,nlayer) / to the time derivatives of Ps, pt, and ptsrf |
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42 | ! pdtsrfc(ngrid) / |
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43 | ! |
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44 | ! Both |
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45 | ! ---- |
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46 | ! piceco2(ngrid) CO2 ice at the surface (kg/m2) |
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47 | ! psolaralb(ngrid) Albedo at the surface |
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48 | ! pemisurf(ngrid) Emissivity of the surface |
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49 | ! |
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50 | ! Authors |
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51 | ! ------- |
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52 | ! Francois Forget (1996) |
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53 | ! Converted to Fortran 90 and slightly modified by R. Wordsworth (2009) |
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54 | ! Includes simplifed nucleation by J. Leconte (2011) |
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55 | ! |
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56 | !================================================================== |
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57 | |
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58 | !#include "dimensions.h" |
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59 | !#include "dimphys.h" |
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60 | #include "comcstfi.h" |
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61 | !#include "comvert.h" |
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62 | #include "callkeys.h" |
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63 | |
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64 | !----------------------------------------------------------------------- |
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65 | ! Arguments |
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66 | |
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67 | INTEGER,INTENT(IN) :: ngrid |
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68 | INTEGER,INTENT(IN) :: nlayer |
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69 | INTEGER,INTENT(IN) :: nq |
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70 | REAL,INTENT(IN) :: ptimestep |
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71 | REAL,INTENT(IN) :: pcapcal(ngrid) |
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72 | REAL,INTENT(IN) :: pplay(ngrid,nlayer) |
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73 | REAL,INTENT(IN) :: pplev(ngrid,nlayer+1) |
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74 | REAL,INTENT(IN) :: ptsrf(ngrid) |
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75 | REAL,INTENT(IN) :: pt(ngrid,nlayer) |
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76 | REAL,INTENT(IN) :: pphi(ngrid,nlayer) |
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77 | REAL,INTENT(IN) :: pdt(ngrid,nlayer) |
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78 | REAL,INTENT(IN) :: pdu(ngrid,nlayer) |
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79 | REAL,INTENT(IN) :: pdv(ngrid,nlayer) |
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80 | REAL,INTENT(IN) :: pdtsrf(ngrid) |
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81 | REAL,INTENT(IN) :: pu(ngrid,nlayer) |
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82 | REAL,INTENT(IN) :: pv(ngrid,nlayer) |
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83 | REAL,INTENT(IN) :: pq(ngrid,nlayer,nq) |
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84 | REAL,INTENT(IN) :: pdq(ngrid,nlayer,nq) |
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85 | REAL,INTENT(INOUT) :: piceco2(ngrid) |
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86 | REAL,INTENT(OUT) :: psolaralb(ngrid) |
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87 | REAL,INTENT(OUT) :: pemisurf(ngrid) |
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88 | REAL,INTENT(OUT) :: pdtc(ngrid,nlayer) |
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89 | REAL,INTENT(OUT) :: pdtsrfc(ngrid) |
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90 | REAL,INTENT(OUT) :: pdpsrf(ngrid) |
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91 | REAL,INTENT(OUT) :: pduc(ngrid,nlayer) |
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92 | REAL,INTENT(OUT) :: pdvc(ngrid,nlayer) |
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93 | REAL,INTENT(OUT) :: pdqc(ngrid,nlayer,nq) |
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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 | INTEGER l,ig,icap,ilay,it,iq |
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99 | |
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100 | REAL reffrad(ngrid,nlayer) ! radius (m) of the co2 ice particles |
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101 | REAL*8 zt(ngrid,nlayer) |
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102 | REAL zq(ngrid,nlayer,nq) |
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103 | REAL zcpi |
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104 | REAL ztcond (ngrid,nlayer) |
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105 | REAL ztnuc (ngrid,nlayer) |
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106 | REAL ztcondsol(ngrid) |
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107 | REAL zdiceco2(ngrid) |
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108 | REAL zcondicea(ngrid,nlayer), zcondices(ngrid) |
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109 | REAL zfallice(ngrid), Mfallice(ngrid) |
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110 | REAL zmflux(nlayer+1) |
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111 | REAL zu(nlayer),zv(nlayer) |
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112 | REAL ztsrf(ngrid) |
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113 | REAL ztc(nlayer), ztm(nlayer+1) |
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114 | REAL zum(nlayer+1) , zvm(nlayer+1) |
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115 | LOGICAL condsub(ngrid) |
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116 | REAL subptimestep |
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117 | Integer Ntime |
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118 | real masse (ngrid,nlayer), w(ngrid,nlayer,nq) |
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119 | real wq(ngrid,nlayer+1) |
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120 | real vstokes,reff |
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121 | |
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122 | ! Special diagnostic variables |
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123 | real tconda1(ngrid,nlayer) |
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124 | real tconda2(ngrid,nlayer) |
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125 | real zdtsig (ngrid,nlayer) |
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126 | real zdt (ngrid,nlayer) |
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127 | |
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128 | !----------------------------------------------------------------------- |
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129 | ! Saved local variables |
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130 | |
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131 | REAL,SAVE :: latcond=5.9e5 |
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132 | REAL,SAVE :: ccond |
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133 | REAL,SAVE :: cpice=1000. |
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134 | REAL,SAVE,ALLOCATABLE,DIMENSION(:) :: emisref |
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135 | !$OMP THREADPRIVATE(latcond,ccond,cpice,emisref) |
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136 | |
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137 | LOGICAL,SAVE :: firstcall=.true. |
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138 | !$OMP THREADPRIVATE(firstcall) |
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139 | REAL,EXTERNAL :: SSUM |
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140 | |
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141 | REAL,EXTERNAL :: CBRT |
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142 | |
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143 | INTEGER,SAVE :: i_co2ice=0 ! co2 ice |
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144 | !$OMP THREADPRIVATE(i_co2ice) |
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145 | CHARACTER(LEN=20) :: tracername ! to temporarily store text |
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146 | |
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147 | integer igas |
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148 | |
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149 | real ppco2 |
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150 | |
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151 | !----------------------------------------------------------------------- |
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152 | ! Initializations |
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153 | |
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154 | pdqc(1:ngrid,1:nlayer,1:nq)=0 |
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155 | pdtc(1:ngrid,1:nlayer)=0 |
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156 | zq(1:ngrid,1:nlayer,1:nq)=0 |
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157 | zt(1:ngrid,1:nlayer)=0 |
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158 | |
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159 | ! Initialisation |
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160 | IF (firstcall) THEN |
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161 | |
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162 | ALLOCATE(emisref(ngrid)) !! this should be deallocated in lastcall... |
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163 | |
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164 | ! find CO2 ice tracer |
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165 | do iq=1,nq |
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166 | tracername=noms(iq) |
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167 | if (tracername.eq."co2_ice") then |
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168 | i_co2ice=iq |
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169 | endif |
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170 | enddo |
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171 | |
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172 | write(*,*) "condense_cloud: i_co2ice=",i_co2ice |
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173 | |
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174 | if((i_co2ice.lt.1))then |
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175 | print*,'In condens_cloud but no CO2 ice tracer, exiting.' |
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176 | print*,'Still need generalisation to arbitrary species!' |
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177 | stop |
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178 | endif |
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179 | |
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180 | ccond=cpp/(g*latcond) |
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181 | print*,'In condens_cloud: ccond=',ccond,' latcond=',latcond |
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182 | |
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183 | ! Prepare special treatment if gas is not pure CO2 |
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184 | !if (addn2) then |
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185 | ! m_co2 = 44.01E-3 ! CO2 molecular mass (kg/mol) |
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186 | ! m_noco2 = 28.02E-3 ! N2 molecular mass (kg/mol) |
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187 | ! Compute A and B coefficient use to compute |
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188 | ! mean molecular mass Mair defined by |
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189 | ! 1/Mair = q(ico2)/m_co2 + (1-q(ico2))/m_noco2 |
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190 | ! 1/Mair = A*q(ico2) + B |
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191 | ! A = (1/m_co2 - 1/m_noco2) |
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192 | ! B = 1/m_noco2 |
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193 | !endif |
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194 | |
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195 | ! Minimum CO2 mixing ratio below which mixing occurs with layer above: |
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196 | !qco2min =0.75 |
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197 | |
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198 | firstcall=.false. |
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199 | ENDIF |
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200 | zcpi=1./cpp |
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201 | |
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202 | !----------------------------------------------------------------------- |
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203 | ! Calculation of CO2 condensation / sublimation |
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204 | ! |
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205 | ! Variables used: |
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206 | ! piceco2(ngrid) amount of co2 ice on the ground (kg/m2) |
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207 | ! zcondicea(ngrid,l) condensation rate in layer l (kg/m2/s) |
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208 | ! zcondices(ngrid) condensation rate on the ground (kg/m2/s) |
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209 | ! zfallice(ngrid) flux of ice falling on surface (kg/m2/s) |
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210 | ! pdtc(ngrid,nlayer) dT/dt due to phase changes (K/s) |
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211 | |
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212 | |
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213 | ! Tendencies initially set to 0 (except pdtc) |
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214 | DO l=1,nlayer |
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215 | DO ig=1,ngrid |
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216 | zcondicea(ig,l) = 0. |
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217 | pduc(ig,l) = 0 |
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218 | pdvc(ig,l) = 0 |
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219 | pdqc(ig,l,i_co2ice) = 0 |
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220 | END DO |
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221 | END DO |
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222 | |
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223 | DO ig=1,ngrid |
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224 | Mfallice(ig) = 0. |
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225 | zfallice(ig) = 0. |
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226 | zcondices(ig) = 0. |
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227 | pdtsrfc(ig) = 0. |
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228 | pdpsrf(ig) = 0. |
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229 | condsub(ig) = .false. |
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230 | zdiceco2(ig) = 0. |
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231 | ENDDO |
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232 | |
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233 | !----------------------------------------------------------------------- |
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234 | ! Atmospheric condensation |
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235 | |
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236 | |
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237 | ! Compute CO2 Volume mixing ratio |
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238 | ! ------------------------------- |
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239 | ! if (addn2) then |
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240 | ! DO l=1,nlayer |
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241 | ! DO ig=1,ngrid |
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242 | ! qco2=pq(ig,l,ico2)+pdq(ig,l,ico2)*ptimestep |
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243 | !! Mean air molecular mass = 1/(q(ico2)/m_co2 + (1-q(ico2))/m_noco2) |
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244 | ! mmean=1/(A*qco2 +B) |
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245 | ! vmr_co2(ig,l) = qco2*mmean/m_co2 |
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246 | ! ENDDO |
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247 | ! ENDDO |
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248 | ! else |
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249 | ! DO l=1,nlayer |
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250 | ! DO ig=1,ngrid |
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251 | ! vmr_co2(ig,l)=0.5 |
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252 | ! ENDDO |
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253 | ! ENDDO |
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254 | ! end if |
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255 | |
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256 | ! Forecast the atmospheric frost temperature 'ztcond' and nucleation temperature 'ztnuc' |
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257 | DO l=1,nlayer |
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258 | DO ig=1,ngrid |
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259 | ppco2=gfrac(igas_CO2)*pplay(ig,l) |
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260 | call get_tcond_co2(ppco2,ztcond(ig,l)) |
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261 | call get_tnuc_co2(ppco2,ztnuc(ig,l)) |
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262 | ENDDO |
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263 | ENDDO |
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264 | |
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265 | ! Initialize zq and zt at the beginning of the sub-timestep loop |
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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)=pt(ig,l) |
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269 | zq(ig,l,i_co2ice)=pq(ig,l,i_co2ice) |
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270 | IF( zq(ig,l,i_co2ice).lt.-1.e-6 ) THEN |
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271 | print*,'Uh-oh, zq = ',zq(ig,l,i_co2ice),'at ig,l=',ig,l |
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272 | if(l.eq.1)then |
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273 | print*,'Perhaps the atmosphere is collapsing on surface...?' |
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274 | endif |
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275 | END IF |
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276 | ENDDO |
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277 | ENDDO |
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278 | |
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279 | ! Calculate the mass of each atmospheric layer (kg.m-2) |
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280 | do ilay=1,nlayer |
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281 | DO ig=1,ngrid |
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282 | masse(ig,ilay)=(pplev(ig,ilay) - pplev(ig,ilay+1)) /g |
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283 | end do |
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284 | end do |
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285 | |
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286 | ! ----------------------------------------------- |
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287 | ! START CONDENSATION/SEDIMENTATION SUB-TIME LOOP |
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288 | ! ----------------------------------------------- |
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289 | Ntime = 20 ! number of sub-timestep |
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290 | subptimestep = ptimestep/float(Ntime) |
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291 | |
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292 | DO it=1,Ntime |
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293 | |
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294 | ! Add the tendencies from other physical processes at each subtimstep |
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295 | DO l=1,nlayer |
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296 | DO ig=1,ngrid |
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297 | zt(ig,l) = zt(ig,l) + pdt(ig,l) * subptimestep |
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298 | zq(ig,l,i_co2ice) = zq(ig,l,i_co2ice) + pdq(ig,l,i_co2ice) * subptimestep |
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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 | ! Gravitational sedimentation |
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304 | |
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305 | ! sedimentation computed from radius computed from q in module radii_mod |
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306 | call co2_reffrad(ngrid,nlayer,nq,zq,reffrad) |
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307 | |
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308 | do ilay=1,nlayer |
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309 | DO ig=1,ngrid |
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310 | |
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311 | reff = reffrad(ig,ilay) |
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312 | |
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313 | call stokes & |
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314 | (pplev(ig,ilay),pt(ig,ilay), & |
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315 | reff,vstokes,rho_co2) |
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316 | |
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317 | !w(ig,ilay,i_co2ice) = 0.0 |
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318 | w(ig,ilay,i_co2ice) = vstokes * subptimestep * & |
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319 | pplev(ig,ilay)/(r*pt(ig,ilay)) |
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320 | |
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321 | end do |
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322 | end do |
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323 | |
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324 | ! Computing q after sedimentation |
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325 | |
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326 | call vlz_fi(ngrid,nlayer,zq(1,1,i_co2ice),2.,masse,w(1,1,i_co2ice),wq) |
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327 | |
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328 | |
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329 | ! Progressively accumulating the flux to the ground |
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330 | ! Mfallice is the total amount of ice fallen to the ground |
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331 | DO ig=1,ngrid |
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332 | Mfallice(ig) = Mfallice(ig) + wq(ig,i_co2ice) |
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333 | end do |
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334 | |
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335 | |
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336 | ! Condensation / sublimation in the atmosphere |
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337 | ! -------------------------------------------- |
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338 | ! (calculation of zcondicea, zfallice and pdtc) |
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339 | ! (MODIFICATIONS FOR EARLY MARS: falling heat neglected, condensation |
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340 | ! of CO2 into tracer i_co2ice) |
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341 | |
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342 | DO l=nlayer , 1, -1 |
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343 | DO ig=1,ngrid |
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344 | pdtc(ig,l)=0. |
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345 | |
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346 | |
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347 | ! ztcond-> ztnuc in test beneath to nucleate only when super saturation occurs(JL 2011) |
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348 | IF ((zt(ig,l).LT.ztnuc(ig,l)).or.(zq(ig,l,i_co2ice).gt.1.E-10)) THEN |
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349 | condsub(ig)=.true. |
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350 | pdtc(ig,l) = (ztcond(ig,l) - zt(ig,l))/subptimestep |
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351 | pdqc(ig,l,i_co2ice) = pdtc(ig,l)*ccond*g |
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352 | |
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353 | ! Case when the ice from above sublimes entirely |
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354 | IF ((zq(ig,l,i_co2ice).lt.-pdqc(ig,l,i_co2ice)*subptimestep) & |
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355 | .AND. (zq(ig,l,i_co2ice).gt.0)) THEN |
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356 | |
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357 | pdqc(ig,l,i_co2ice) = -zq(ig,l,i_co2ice)/subptimestep |
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358 | pdtc(ig,l) =-zq(ig,l,i_co2ice)/(ccond*g*subptimestep) |
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359 | |
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360 | END IF |
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361 | |
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362 | ! Temperature and q after condensation |
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363 | zt(ig,l) = zt(ig,l) + pdtc(ig,l) * subptimestep |
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364 | zq(ig,l,i_co2ice) = zq(ig,l,i_co2ice) + pdqc(ig,l,i_co2ice) * subptimestep |
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365 | END IF |
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366 | |
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367 | ENDDO |
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368 | ENDDO |
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369 | ENDDO ! end of subtimestep loop |
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370 | |
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371 | ! Computing global tendencies after the subtimestep |
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372 | DO l=1,nlayer |
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373 | DO ig=1,ngrid |
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374 | pdtc(ig,l) = & |
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375 | (zt(ig,l) - (pt(ig,l) + pdt(ig,l)*ptimestep))/ptimestep |
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376 | pdqc(ig,l,i_co2ice) = & |
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377 | (zq(ig,l,i_co2ice)-(pq(ig,l,i_co2ice)+pdq(ig,l,i_co2ice)*ptimestep))/ptimestep |
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378 | END DO |
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379 | END DO |
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380 | DO ig=1,ngrid |
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381 | zfallice(ig) = Mfallice(ig)/ptimestep |
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382 | END DO |
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383 | |
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384 | |
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385 | !----------------------------------------------------------------------- |
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386 | ! Condensation/sublimation on the ground |
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387 | ! (calculation of zcondices and pdtsrfc) |
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388 | |
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389 | ! forecast of ground temperature ztsrf and frost temperature ztcondsol |
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390 | DO ig=1,ngrid |
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391 | ppco2=gfrac(igas_CO2)*pplay(ig,1) |
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392 | call get_tcond_co2(ppco2,ztcondsol(ig)) |
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393 | |
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394 | ztsrf(ig) = ptsrf(ig) |
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395 | |
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396 | if((ztsrf(ig).le.ztcondsol(ig)+2.0).and.(ngrid.eq.1))then |
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397 | print*,'CO2 is condensing on the surface in 1D. This atmosphere is doomed.' |
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398 | print*,'T_surf = ',ztsrf,'K' |
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399 | print*,'T_cond = ',ztcondsol,'K' |
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400 | open(116,file='surf_vals.out') |
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401 | write(116,*) 0.0, pplev(1,1), 0.0, 0.0 |
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402 | close(116) |
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403 | call abort |
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404 | endif |
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405 | |
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406 | ztsrf(ig) = ptsrf(ig) + pdtsrf(ig)*ptimestep |
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407 | |
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408 | ENDDO |
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409 | |
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410 | DO ig=1,ngrid |
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411 | IF(ig.GT.ngrid/2+1) THEN |
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412 | icap=2 |
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413 | ELSE |
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414 | icap=1 |
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415 | ENDIF |
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416 | |
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417 | ! Loop over where we have condensation / sublimation |
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418 | IF ((ztsrf(ig) .LT. ztcondsol(ig)) .OR. & ! ground condensation |
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419 | (zfallice(ig).NE.0.) .OR. & ! falling snow |
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420 | ((ztsrf(ig) .GT. ztcondsol(ig)) .AND. & ! ground sublimation |
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421 | ((piceco2(ig)+zfallice(ig)*ptimestep) .NE. 0.))) THEN |
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422 | condsub(ig) = .true. |
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423 | |
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424 | ! Condensation or partial sublimation of CO2 ice |
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425 | zcondices(ig)=pcapcal(ig)*(ztcondsol(ig)-ztsrf(ig)) & |
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426 | /(latcond*ptimestep) |
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427 | pdtsrfc(ig) = (ztcondsol(ig) - ztsrf(ig))/ptimestep |
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428 | |
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429 | ! If the entire CO_2 ice layer sublimes |
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430 | ! (including what has just condensed in the atmosphere) |
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431 | IF((piceco2(ig)/ptimestep+zfallice(ig)).LE. & |
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432 | -zcondices(ig))THEN |
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433 | zcondices(ig) = -piceco2(ig)/ptimestep - zfallice(ig) |
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434 | pdtsrfc(ig)=(latcond/pcapcal(ig))* & |
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435 | (zcondices(ig)) |
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436 | END IF |
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437 | |
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438 | ! Changing CO2 ice amount and pressure |
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439 | |
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440 | zdiceco2(ig) = zcondices(ig) + zfallice(ig) |
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441 | piceco2(ig) = piceco2(ig) + zdiceco2(ig)*ptimestep |
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442 | pdpsrf(ig) = -zdiceco2(ig)*g |
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443 | |
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444 | IF(ABS(pdpsrf(ig)*ptimestep).GT.pplev(ig,1)) THEN |
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445 | PRINT*,'STOP in condens' |
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446 | PRINT*,'condensing more than total mass' |
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447 | PRINT*,'Grid point ',ig |
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448 | PRINT*,'Ps = ',pplev(ig,1) |
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449 | PRINT*,'d Ps = ',pdpsrf(ig) |
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450 | STOP |
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451 | ENDIF |
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452 | END IF |
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453 | ENDDO |
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454 | |
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455 | ! Surface albedo and emissivity of the ground below the snow (emisref) |
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456 | ! -------------------------------------------------------------------- |
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457 | DO ig=1,ngrid |
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458 | IF(lati(ig).LT.0.) THEN |
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459 | icap=2 ! Southern Hemisphere |
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460 | ELSE |
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461 | icap=1 ! Nortnern hemisphere |
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462 | ENDIF |
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463 | |
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464 | if(.not.piceco2(ig).ge.0.) THEN |
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465 | if(piceco2(ig).le.-1.e-8) print*, & |
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466 | 'WARNING in condense_co2cloud: piceco2(',ig,')=', piceco2(ig) |
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467 | piceco2(ig)=0. |
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468 | endif |
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469 | if (piceco2(ig).gt.0) then |
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470 | psolaralb(ig) = albedice(icap) |
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471 | emisref(ig) = emisice(icap) |
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472 | else |
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473 | psolaralb(ig) = albedodat(ig) |
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474 | emisref(ig) = emissiv |
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475 | pemisurf(ig) = emissiv |
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476 | end if |
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477 | end do |
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478 | |
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479 | return |
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480 | end subroutine condense_cloud |
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481 | |
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482 | !------------------------------------------------------------------------- |
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483 | subroutine get_tcond_co2(p,tcond) |
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484 | ! Calculates the condensation temperature for CO2 |
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485 | |
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486 | implicit none |
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487 | |
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488 | #include "callkeys.h" |
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489 | |
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490 | real p, peff, tcond |
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491 | real, parameter :: ptriple=518000.0 |
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492 | |
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493 | peff=p |
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494 | |
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495 | if(peff.lt.ptriple)then |
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496 | tcond = (-3167.8)/(log(.01*peff)-23.23) ! Fanale's formula |
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497 | else |
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498 | tcond = 684.2-92.3*log(peff)+4.32*log(peff)**2 |
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499 | ! liquid-vapour transition (based on CRC handbook 2003 data) |
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500 | endif |
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501 | return |
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502 | |
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503 | end subroutine get_tcond_co2 |
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504 | |
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505 | |
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506 | |
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507 | |
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508 | !------------------------------------------------------------------------- |
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509 | subroutine get_tnuc_co2(p,tnuc) |
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510 | ! Calculates the nucleation temperature for CO2, based on a simple super saturation criterion |
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511 | ! (JL 2011) |
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512 | |
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513 | implicit none |
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514 | |
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515 | #include "callkeys.h" |
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516 | |
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517 | real p, peff, tnuc |
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518 | real, parameter :: ptriple=518000.0 |
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519 | |
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520 | peff=p/co2supsat |
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521 | |
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522 | if(peff.lt.ptriple)then |
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523 | tnuc = (-3167.8)/(log(.01*peff)-23.23) ! Fanale's formula |
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524 | else |
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525 | tnuc = 684.2-92.3*log(peff)+4.32*log(peff)**2 |
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526 | ! liquid-vapour transition (based on CRC handbook 2003 data) |
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527 | endif |
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528 | return |
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529 | |
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530 | end subroutine get_tnuc_co2 |
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