1 | ******************************************************* |
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2 | * * |
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3 | subroutine nucleaco2(pco2,temp,sat,n_ccn,nucrate, |
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4 | & n_ccn_h2oice,rad_h2oice,nucrate_h2oice, |
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5 | & vo2co2) |
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6 | USE comcstfi_h |
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7 | |
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8 | implicit none |
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9 | * * |
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10 | * This subroutine computes the nucleation rate * |
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11 | * as given in Pruppacher & Klett (1978) in the * |
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12 | * case of water ice forming on a solid substrate. * |
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13 | * Definition refined by Keese (jgr,1989) * |
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14 | * Authors: F. Montmessin * |
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15 | * Adapted for the LMD/GCM by J.-B. Madeleine * |
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16 | * (October 2011) * |
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17 | * Optimisation by A. Spiga (February 2012) * |
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18 | * CO2 nucleation routine dev. by Constantino * |
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19 | * Listowski and Joachim Audouard (2016-2017), * |
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20 | * adapted from the water ice nucleation |
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21 | * It computes two different nucleation rates : one |
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22 | * on the dust CCN distribution and the other one on |
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23 | * the water ice particles distribution |
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24 | ******************************************************* |
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25 | ! nucrate = output |
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26 | ! nucrate_h2o en sortie aussi : |
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27 | !nucleation sur dust et h2o separement ici |
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28 | |
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29 | include "microphys.h" |
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30 | include "callkeys.h" |
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31 | |
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32 | c Inputs |
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33 | DOUBLE PRECISION pco2,sat,vo2co2 |
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34 | DOUBLE PRECISION n_ccn(nbinco2_cld), n_ccn_h2oice(nbinco2_cld) |
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35 | REAL temp !temperature |
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36 | c Output |
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37 | DOUBLE PRECISION nucrate(nbinco2_cld) |
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38 | DOUBLE PRECISION nucrate_h2oice(nbinco2_cld) ! h2o as substrate |
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39 | double precision rad_h2oice(nbinco2_cld) ! h2o ice grid (as substrate) |
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40 | |
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41 | c Local variables |
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42 | DOUBLE PRECISION nco2 |
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43 | DOUBLE PRECISION rstar ! Radius of the critical germ (m) |
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44 | DOUBLE PRECISION gstar ! # of molecules forming a critical embryo |
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45 | DOUBLE PRECISION fistar ! Activation energy required to form a critical embryo (J) |
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46 | DOUBLE PRECISION fshapeco2 ! function defined at the end of the file |
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47 | DOUBLE PRECISION deltaf |
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48 | double precision mtetalocal,mtetalocalh ! local mteta in double precision |
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49 | double precision fshapeco2simple,zefshapeco2 |
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50 | integer i |
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51 | c ************************************************* |
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52 | |
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53 | mtetalocal = dble(mtetaco2) !! use mtetalocal for better performance |
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54 | mtetalocalh=dble(mteta) |
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55 | |
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56 | |
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57 | IF (sat .gt. 1.) THEN ! minimum condition to activate nucleation |
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58 | |
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59 | nco2 = pco2 / kbz / temp |
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60 | rstar = 2. * sigco2 * vo2co2 / (kbz*temp*dlog(sat)) |
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61 | gstar = 4. * pi * (rstar * rstar * rstar) / (3.*vo2co2) |
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62 | |
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63 | fshapeco2simple = (2.+mtetalocal)*(1.-mtetalocal)*(1.-mtetalocal) |
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64 | & / 4. |
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65 | |
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66 | c Loop over size bins |
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67 | do i=1,nbinco2_cld |
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68 | c write(*,*) "IN NUCLEA, i, RAD_CLDCO2(i) = ",i, rad_cldco2(i), |
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69 | c & n_ccn(i) |
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70 | |
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71 | if ( n_ccn(i) .lt. 1e-10 ) then |
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72 | c no dust, no need to compute nucleation! |
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73 | nucrate(i)=0. |
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74 | c goto 210 |
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75 | c endif |
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76 | else |
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77 | if (rad_cldco2(i).gt.3000.*rstar) then |
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78 | zefshapeco2 = fshapeco2simple |
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79 | else |
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80 | zefshapeco2 = fshapeco2(mtetalocal,rad_cldco2(i)/rstar) |
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81 | endif |
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82 | |
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83 | fistar = (4./3.*pi) * sigco2 * (rstar * rstar) * |
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84 | & zefshapeco2 |
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85 | deltaf = (2.*desorpco2-surfdifco2-fistar)/ |
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86 | & (kbz*temp) |
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87 | deltaf = min( max(deltaf, -100.d0), 100.d0) |
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88 | |
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89 | if (deltaf.eq.-100.) then |
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90 | nucrate(i) = 0. |
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91 | else |
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92 | nucrate(i)= dble(sqrt ( fistar / |
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93 | & (3.*pi*kbz*temp*(gstar*gstar)) ) |
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94 | & * kbz * temp * rstar |
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95 | & * rstar * 4. * pi |
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96 | & * ( nco2*rad_cldco2(i) ) |
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97 | & * ( nco2*rad_cldco2(i) ) |
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98 | & / ( zefshapeco2 * nusco2 * m0co2 ) |
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99 | & * dexp (deltaf)) |
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100 | |
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101 | |
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102 | endif |
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103 | endif ! if n_ccn(i) .lt. 1e-10 |
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104 | |
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105 | if (co2useh2o) then |
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106 | |
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107 | if ( n_ccn_h2oice(i) .lt. 1e-10 ) then |
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108 | c no H2O ice, no need to compute nucleation! |
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109 | nucrate_h2oice(i)=0. |
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110 | else |
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111 | if (rad_h2oice(i).gt.3000.*rstar) then |
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112 | zefshapeco2 = (2.+mtetalocalh)*(1.-mtetalocalh)* |
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113 | & (1.-mtetalocalh) / 4. |
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114 | else ! same m for dust/h2o ice |
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115 | zefshapeco2 = fshapeco2(mtetalocalh, |
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116 | & (rad_h2oice(i)/rstar)) |
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117 | endif |
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118 | |
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119 | fistar = (4./3.*pi) * sigco2 * (rstar * rstar) * |
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120 | & zefshapeco2 |
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121 | deltaf = (2.*desorpco2-surfdifco2-fistar)/ |
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122 | & (kbz*temp) |
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123 | deltaf = min( max(deltaf, -100.d0), 100.d0) |
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124 | |
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125 | if (deltaf.eq.-100.) then |
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126 | nucrate_h2oice(i) = 0. |
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127 | else |
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128 | nucrate_h2oice(i)= dble(sqrt ( fistar / |
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129 | & (3.*pi*kbz*temp*(gstar*gstar)) ) |
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130 | & * kbz * temp * rstar |
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131 | & * rstar * 4. * pi |
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132 | & * ( nco2*rad_h2oice(i) ) |
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133 | & * ( nco2*rad_h2oice(i) ) |
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134 | & / ( zefshapeco2 * nusco2 * m0co2 ) |
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135 | & * dexp (deltaf)) |
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136 | endif |
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137 | endif |
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138 | endif |
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139 | enddo |
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140 | |
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141 | ELSE ! parcelle d'air non saturée |
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142 | |
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143 | do i=1,nbinco2_cld |
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144 | nucrate(i) = 0. |
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145 | nucrate_h2oice(i) = 0. |
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146 | enddo |
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147 | |
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148 | ENDIF ! if (sat .gt. 1.) |
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149 | |
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150 | end |
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151 | |
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152 | ********************************************************* |
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153 | double precision function fshapeco2(cost,rap) |
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154 | implicit none |
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155 | * function computing the f(m,x) factor * |
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156 | * related to energy required to form a critical embryo * |
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157 | ********************************************************* |
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158 | |
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159 | double precision cost,rap |
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160 | double precision yeah |
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161 | |
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162 | !! PHI |
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163 | yeah = sqrt( 1. - 2.*cost*rap + rap*rap ) |
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164 | !! FSHAPECO2 = TERM A |
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165 | fshapeco2 = (1.-cost*rap) / yeah |
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166 | fshapeco2 = fshapeco2 * fshapeco2 * fshapeco2 |
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167 | fshapeco2 = 1. + fshapeco2 |
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168 | !! ... + TERM B |
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169 | yeah = (rap-cost)/yeah |
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170 | fshapeco2 = fshapeco2 + |
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171 | & rap*rap*rap*(2.-3.*yeah+yeah*yeah*yeah) |
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172 | !! ... + TERM C |
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173 | fshapeco2 = fshapeco2 + 3. * cost * rap * rap * (yeah-1.) |
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174 | !! FACTOR 1/2 |
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175 | fshapeco2 = 0.5*fshapeco2 |
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176 | |
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177 | end |
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