1 | MODULE nuclea_mod |
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2 | |
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3 | IMPLICIT NONE |
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4 | |
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5 | CONTAINS |
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6 | |
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7 | subroutine nuclea(ph2o,temp,sat,n_ccn,nucrate) |
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8 | use comcstfi_h, only: pi |
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9 | use microphys_h, only: nbin_cld, rad_cld, nav, mteta, m0 |
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10 | use microphys_h, only: desorp, kbz, nus, rgp, surfdif, vo1 |
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11 | implicit none |
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12 | * * |
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13 | * This subroutine computes the nucleation rate * |
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14 | * as given in Pruppacher & Klett (1978) in the * |
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15 | * case of water ice forming on a solid substrate. * |
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16 | * Definition refined by Keese (jgr,1989) * |
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17 | * Authors: F. Montmessin * |
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18 | * Adapted for the LMD/GCM by J.-B. Madeleine * |
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19 | * (October 2011) * |
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20 | * Optimisation by A. Spiga (February 2012) * |
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21 | ******************************************************* |
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22 | |
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23 | include "callkeys.h" |
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24 | |
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25 | c Inputs |
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26 | DOUBLE PRECISION, INTENT(IN) :: ph2o,sat |
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27 | DOUBLE PRECISION, INTENT(IN) :: n_ccn(nbin_cld) |
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28 | REAL, INTENT(IN) :: temp |
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29 | |
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30 | c Output |
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31 | ! DOUBLE PRECISION nucrate(nbin_cld) |
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32 | REAL, INTENT(OUT) :: nucrate(nbin_cld) |
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33 | |
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34 | c Local variables |
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35 | DOUBLE PRECISION nh2o |
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36 | DOUBLE PRECISION sig ! Water-ice/air surface tension (N.m) |
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37 | external sig |
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38 | DOUBLE PRECISION rstar ! Radius of the critical germ (m) |
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39 | DOUBLE PRECISION gstar ! # of molecules forming a critical embryo |
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40 | DOUBLE PRECISION fistar ! Activation energy required to form a critical embryo (J) |
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41 | ! DOUBLE PRECISION zeldov ! Zeldovitch factor (no dim) |
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42 | DOUBLE PRECISION deltaf |
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43 | |
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44 | c Ratio rstar/radius of the nucleating dust particle |
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45 | c double precision xratio |
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46 | |
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47 | double precision mtetalocal ! local mteta in double precision |
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48 | |
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49 | double precision fshapesimple,zefshape |
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50 | |
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51 | |
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52 | integer i |
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53 | |
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54 | LOGICAL, SAVE :: firstcall = .true. |
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55 | !$OMP THREADPRIVATE(firstcall) |
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56 | |
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57 | c ************************************************* |
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58 | |
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59 | mtetalocal = mteta !! use mtetalocal for better performance |
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60 | |
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61 | IF (temp_dependant_m) THEN |
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62 | c Simple linear parametrisation from Maattaanen 2014 |
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63 | c Smectite sample |
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64 | c Maxed out at 0.97 for physical realism |
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65 | mtetalocal = min(0.0044*temp + 0.1831,0.97) |
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66 | ENDIF ! (temp_dependant_m) THEN |
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67 | cccccccccccccccccccccccccccccccccccccccccccccccccc |
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68 | ccccccccccc ESSAIS TN MTETA = F (T) cccccccccccccc |
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69 | c if (temp .gt. 200) then |
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70 | c mtetalocal = mtetalocal |
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71 | c else if (temp .lt. 190) then |
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72 | c mtetalocal = mtetalocal-0.05 |
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73 | c else |
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74 | c mtetalocal = mtetalocal - (190-temp)*0.005 |
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75 | c endif |
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76 | c----------------exp law, see Trainer 2008, J. Phys. Chem. C 2009, 113, 2036\u20132040 |
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77 | !mtetalocal = max(mtetalocal - 6005*exp(-0.065*temp),0.1) |
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78 | !mtetalocal = max(mtetalocal - 6005*exp(-0.068*temp),0.1) |
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79 | !print*, mtetalocal, temp |
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80 | cccccccccccccccccccccccccccccccccccccccccccccccccc |
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81 | cccccccccccccccccccccccccccccccccccccccccccccccccc |
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82 | IF (firstcall.and.temp_dependant_m) THEN |
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83 | print*, ' ' |
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84 | print*, 'dear user, please keep in mind that' |
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85 | print*, 'contact parameter IS NOT constant ;' |
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86 | print*, 'Using the following linear fit from' |
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87 | print*, 'Maattanen et al. 2014 (SM linear fit) :' |
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88 | print*, 'min(0.0044*temp + 0.1831,0.97)' |
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89 | print*, ' ' |
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90 | firstcall=.false. |
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91 | ELSE IF (firstcall.and.(.not.(temp_dependant_m))) THEN |
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92 | print*, ' ' |
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93 | print*, 'dear user, please keep in mind that' |
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94 | print*, 'contact parameter IS constant' |
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95 | print*, ' ' |
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96 | firstcall=.false. |
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97 | END IF |
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98 | cccccccccccccccccccccccccccccccccccccccccccccccccc |
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99 | cccccccccccccccccccccccccccccccccccccccccccccccccc |
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100 | |
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101 | |
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102 | if (sat .gt. 1.) then ! minimum condition to activate nucleation |
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103 | |
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104 | nh2o = ph2o / kbz / temp |
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105 | rstar = 2. * sig(temp) * vo1 / (rgp*temp*log(sat)) |
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106 | gstar = 4. * nav * pi * (rstar * rstar * rstar) / (3.*vo1) |
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107 | |
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108 | fshapesimple = (2.+mtetalocal)*(1.-mtetalocal)*(1.-mtetalocal) |
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109 | & / 4. |
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110 | |
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111 | c Loop over size bins |
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112 | do i=1,nbin_cld |
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113 | |
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114 | if ( n_ccn(i) .lt. 1e-10 ) then |
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115 | c no dust, no need to compute nucleation! |
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116 | nucrate(i)=0. |
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117 | ! move on to next bin |
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118 | cycle |
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119 | endif |
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120 | |
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121 | if (rad_cld(i).gt.3000.*rstar) then |
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122 | zefshape = fshapesimple |
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123 | else |
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124 | zefshape = fshape(mtetalocal,rad_cld(i)/rstar) |
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125 | endif |
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126 | |
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127 | fistar = (4./3.*pi) * sig(temp) * (rstar * rstar) * |
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128 | & zefshape |
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129 | deltaf = (2.*desorp-surfdif-fistar)/ |
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130 | & (kbz*temp) |
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131 | deltaf = min( max(deltaf, -100.d0), 100.d0) |
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132 | |
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133 | if (deltaf.eq.-100.) then |
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134 | nucrate(i) = 0. |
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135 | else |
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136 | nucrate(i)= real(sqrt ( fistar / |
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137 | & (3.*pi*kbz*temp*(gstar*gstar)) ) |
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138 | & * kbz * temp * rstar |
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139 | & * rstar * 4. * pi |
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140 | & * ( nh2o*rad_cld(i) ) |
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141 | & * ( nh2o*rad_cld(i) ) |
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142 | & / ( zefshape * nus * m0 ) |
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143 | & * exp (deltaf)) |
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144 | endif |
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145 | |
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146 | enddo ! of do i=1,nbin_cld |
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147 | |
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148 | else |
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149 | |
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150 | do i=1,nbin_cld |
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151 | nucrate(i) = 0. |
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152 | enddo |
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153 | |
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154 | endif ! of if (sat .gt. 1.) |
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155 | |
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156 | end subroutine nuclea |
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157 | |
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158 | ********************************************************* |
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159 | double precision function fshape(cost,rap) |
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160 | implicit none |
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161 | * function computing the f(m,x) factor * |
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162 | * related to energy required to form a critical embryo * |
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163 | ********************************************************* |
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164 | |
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165 | double precision, intent(in) :: cost,rap |
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166 | double precision yeah |
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167 | |
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168 | !! PHI |
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169 | yeah = sqrt( 1. - 2.*cost*rap + rap*rap ) |
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170 | !! FSHAPE = TERM A |
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171 | fshape = (1.-cost*rap) / yeah |
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172 | fshape = fshape * fshape * fshape |
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173 | fshape = 1. + fshape |
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174 | !! ... + TERM B |
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175 | yeah = (rap-cost)/yeah |
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176 | fshape = fshape + |
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177 | & rap*rap*rap*(2.-3.*yeah+yeah*yeah*yeah) |
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178 | !! ... + TERM C |
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179 | fshape = fshape + 3. * cost * rap * rap * (yeah-1.) |
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180 | !! FACTOR 1/2 |
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181 | fshape = 0.5*fshape |
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182 | |
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183 | end function fshape |
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184 | |
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185 | |
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186 | END MODULE nuclea_mod |
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