[358] | 1 | ******************************************************* |
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| 2 | * * |
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| 3 | subroutine nuclea(ph2o,temp,sat,n_ccn,nucrate) |
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| 4 | implicit none |
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| 5 | * * |
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| 6 | * This subroutine computes the nucleation rate * |
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| 7 | * as given in Pruppacher & Klett (1978) in the * |
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| 8 | * case of water ice forming on a solid substrate. * |
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| 9 | * Definition refined by Keese (jgr,1989) * |
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| 10 | * Authors: F. Montmessin * |
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| 11 | * Adapted for the LMD/GCM by J.-B. Madeleine * |
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| 12 | * (October 2011) * |
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| 13 | ******************************************************* |
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| 14 | |
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| 15 | #include "dimensions.h" |
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| 16 | #include "dimphys.h" |
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| 17 | #include "comcstfi.h" |
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| 18 | #include "tracer.h" |
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| 19 | #include "microphys.h" |
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| 20 | |
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| 21 | c Inputs |
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| 22 | DOUBLE PRECISION ph2o,sat |
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| 23 | DOUBLE PRECISION n_ccn(nbin_cld) |
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| 24 | REAL temp |
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| 25 | |
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| 26 | c Output |
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| 27 | DOUBLE PRECISION nucrate(nbin_cld) |
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| 28 | |
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| 29 | c Local variables |
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| 30 | DOUBLE PRECISION nh2o |
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| 31 | DOUBLE PRECISION sig ! Water-ice/air surface tension (N.m) |
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| 32 | external sig |
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| 33 | DOUBLE PRECISION rstar ! Radius of the critical germ (m) |
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| 34 | DOUBLE PRECISION gstar ! # of molecules forming a critical embryo |
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| 35 | DOUBLE PRECISION fistar ! Activation energy required to form a critical embryo (J) |
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| 36 | DOUBLE PRECISION zeldov ! Zeldovitch factor (no dim) |
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| 37 | DOUBLE PRECISION fshape ! function defined at the end of the file |
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| 38 | DOUBLE PRECISION deltaf |
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| 39 | |
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| 40 | c Ratio rstar/radius of the nucleating dust particle |
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| 41 | double precision xratio |
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| 42 | |
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| 43 | double precision mtetalocal ! local mteta in double precision |
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| 44 | |
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| 45 | integer i |
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[520] | 46 | |
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| 47 | LOGICAL firstcall |
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| 48 | DATA firstcall/.true./ |
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| 49 | SAVE firstcall |
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[358] | 50 | |
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| 51 | c ************************************************* |
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| 52 | |
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| 53 | mtetalocal = mteta |
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| 54 | |
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[520] | 55 | cccccccccccccccccccccccccccccccccccccccccccccccccc |
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| 56 | ccccccccccc ESSAIS TN MTETA = F (T) cccccccccccccc |
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| 57 | c if (temp .gt. 200) then |
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| 58 | c mtetalocal = mtetalocal |
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| 59 | c else if (temp .lt. 190) then |
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| 60 | c mtetalocal = mtetalocal-0.05 |
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| 61 | c else |
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| 62 | c mtetalocal = mtetalocal - (190-temp)*0.005 |
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| 63 | c endif |
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| 64 | c----------------exp law, see Trainer 2008, J. Phys. Chem. C 2009, 113, 2036\u20132040 |
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| 65 | !mtetalocal = max(mtetalocal - 6005*exp(-0.065*temp),0.1) |
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| 66 | !mtetalocal = max(mtetalocal - 6005*exp(-0.068*temp),0.1) |
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| 67 | !print*, mtetalocal, temp |
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| 68 | cccccccccccccccccccccccccccccccccccccccccccccccccc |
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| 69 | cccccccccccccccccccccccccccccccccccccccccccccccccc |
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| 70 | IF (firstcall) THEN |
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| 71 | print*, ' ' |
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| 72 | print*, 'dear user, please keep in mind that' |
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| 73 | print*, 'contact parameter IS constant' |
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| 74 | !print*, 'contact parameter IS NOT constant:' |
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| 75 | !print*, 'max(mteta - 6005*exp(-0.065*temp),0.1)' |
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| 76 | !print*, 'max(mteta - 6005*exp(-0.068*temp),0.1)' |
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| 77 | print*, ' ' |
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| 78 | firstcall=.false. |
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| 79 | END IF |
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| 80 | cccccccccccccccccccccccccccccccccccccccccccccccccc |
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| 81 | cccccccccccccccccccccccccccccccccccccccccccccccccc |
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| 82 | |
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| 83 | |
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[358] | 84 | if (sat .gt. 1.) then ! minimum condition to activate nucleation |
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| 85 | |
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| 86 | nh2o = ph2o / kbz / temp |
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| 87 | rstar = 2. * sig(temp) * vo1 / (rgp*temp*dlog(sat)) |
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| 88 | gstar = 4. * nav * pi * (rstar**3) / (3.*vo1) |
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| 89 | |
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| 90 | c Loop over size bins |
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| 91 | do 200 i=1,nbin_cld |
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| 92 | |
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| 93 | if ( n_ccn(i) .lt. 1e-10 ) then |
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| 94 | c no dust, no need to compute nucleation! |
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| 95 | nucrate(i)=0. |
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| 96 | goto 200 |
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| 97 | endif |
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| 98 | |
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| 99 | xratio = rad_cld(i) / rstar |
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| 100 | fistar = (4./3.*pi) * sig(temp) * (rstar**2.) * |
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| 101 | & fshape(mtetalocal,xratio) |
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| 102 | deltaf = (2.*desorp-surfdif-fistar)/ |
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| 103 | & (kbz*temp) |
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| 104 | deltaf = min( max(deltaf, -100.), 100.) |
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| 105 | |
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| 106 | if (deltaf.eq.-100.) then |
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| 107 | nucrate(i) = 0. |
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| 108 | else |
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| 109 | zeldov = sqrt ( fistar / |
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| 110 | & (3.*pi*kbz*temp*(gstar**2.)) ) |
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| 111 | nucrate(i)= zeldov * kbz * temp * rstar |
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| 112 | & * rstar * 4. * pi |
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| 113 | & * ( nh2o*rad_cld(i) )**2. |
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| 114 | & / ( fshape(mtetalocal,xratio) * nus * m0 ) |
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| 115 | & * dexp (deltaf) |
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| 116 | endif |
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| 117 | |
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| 118 | 200 continue |
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| 119 | |
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| 120 | else |
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| 121 | |
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| 122 | do i=1,nbin_cld |
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| 123 | nucrate(i) = 0. |
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| 124 | enddo |
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| 125 | |
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| 126 | endif |
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| 127 | |
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| 128 | return |
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| 129 | end |
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| 130 | |
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| 131 | ********************************************************* |
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| 132 | double precision function fshape(cost,rap) |
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| 133 | implicit none |
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| 134 | * function computing the f(m,x) factor * |
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| 135 | * related to energy required to form a critical embryo * |
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| 136 | ********************************************************* |
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| 137 | |
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| 138 | double precision cost,rap |
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| 139 | double precision phi |
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| 140 | double precision a,b,c |
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| 141 | |
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| 142 | phi = sqrt( 1. - 2.*cost*rap + rap**2 ) |
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| 143 | a = 1. + ( (1.-cost*rap)/phi )**3 |
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| 144 | b = (rap**3) * (2.-3.*(rap-cost)/phi+((rap-cost)/phi)**3) |
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| 145 | c = 3. * cost * (rap**2) * ((rap-cost)/phi-1.) |
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| 146 | |
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| 147 | fshape = 0.5*(a+b+c) |
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| 148 | |
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| 149 | if (rap.gt.3000.) fshape = ((2.+cost)*(1.-cost)**2)/4. |
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| 150 | |
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| 151 | return |
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| 152 | end |
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