1 | !********************************************************************** |
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2 | ! Copyright 1998,1999,2000,2001,2002,2005,2007,2008,2009,2010 * |
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3 | ! Andreas Stohl, Petra Seibert, A. Frank, Gerhard Wotawa, * |
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4 | ! Caroline Forster, Sabine Eckhardt, John Burkhart, Harald Sodemann * |
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5 | ! * |
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6 | ! This file is part of FLEXPART. * |
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7 | ! * |
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8 | ! FLEXPART is free software: you can redistribute it and/or modify * |
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9 | ! it under the terms of the GNU General Public License as published by* |
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10 | ! the Free Software Foundation, either version 3 of the License, or * |
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11 | ! (at your option) any later version. * |
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12 | ! * |
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13 | ! FLEXPART is distributed in the hope that it will be useful, * |
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14 | ! but WITHOUT ANY WARRANTY; without even the implied warranty of * |
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15 | ! MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * |
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16 | ! GNU General Public License for more details. * |
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17 | ! * |
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18 | ! You should have received a copy of the GNU General Public License * |
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19 | ! along with FLEXPART. If not, see <http://www.gnu.org/licenses/>. * |
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20 | !********************************************************************** |
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21 | |
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22 | subroutine initialize_cbl_vel(idum,zp,ust,wst,h,sigmaw,wp, ol) |
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23 | ! i/o i i i i i o i |
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24 | |
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25 | use par_mod, only:pi |
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26 | use com_mod, only:ldirect |
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27 | use random_mod, only: gasdev, ran3 |
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28 | |
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29 | implicit none |
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30 | |
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31 | !=============================================================================== |
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32 | ! CBL skewed vertical profiles and formulation of LHH 1996 with profile of w3 |
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33 | ! from LHB 2000 |
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34 | ! LHH formulation has been modified to account for variable density profiles and |
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35 | ! backward in time or forward in time simulations |
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36 | ! see Cassiani et al. BLM 2014 doi for explanations and references |
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37 | !=============================================================================== |
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38 | |
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39 | |
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40 | real :: usurad2,usurad2p,C0,costluar4,eps |
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41 | parameter (usurad2=0.7071067812,usurad2p=0.3989422804,C0=2,costluar4=0.66667,eps=0.000001) |
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42 | |
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43 | integer idum |
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44 | real :: wp,zp,ust,wst,h,dens,ddens,sigmaw,dsigmawdz,tlw,dcas,dcas1!,ran3,gasdev |
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45 | real :: w3,w2 |
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46 | real :: z, & |
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47 | skew, & |
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48 | skew2, & |
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49 | radw2, & |
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50 | fluarw,fluarw2, & |
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51 | rluarw, & |
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52 | xluarw, & |
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53 | aluarw, & |
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54 | bluarw, & |
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55 | sigmawa, & |
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56 | sigmawb, & |
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57 | ath, & |
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58 | bth, & |
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59 | wb,wa |
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60 | real timedir |
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61 | real ol, transition |
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62 | |
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63 | !--------------------------------------------------------------------------- |
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64 | timedir=ldirect !direction of time forward (1) or backward(-1) |
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65 | z=zp/h |
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66 | |
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67 | |
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68 | transition=1. |
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69 | if (-h/ol.lt.15) transition=((sin((((-h/ol)+10.)/10.)*pi)))/2.+0.5 !see also in cbl.f90 |
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70 | |
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71 | w2=sigmaw*sigmaw |
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72 | w3=(((1.2*z*((1.-z)**(3./2.)))+eps)*wst**3) *transition |
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73 | |
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74 | skew=w3/(w2**1.5) |
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75 | skew2=skew*skew |
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76 | |
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77 | radw2=sqrt(w2) !sigmaw |
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78 | |
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79 | fluarw=costluar4*skew**0.333333333333333 |
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80 | fluarw2=fluarw*fluarw |
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81 | rluarw=(1.+fluarw2)**3.*skew2/((3.+fluarw2)**2.*fluarw2) !-> r |
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82 | xluarw=rluarw**0.5 !----> r^1/2 |
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83 | |
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84 | aluarw=0.5*(1.-xluarw/(4.+rluarw)**0.5) |
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85 | bluarw=1.-aluarw |
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86 | |
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87 | sigmawa=radw2*(bluarw/(aluarw*(1.+fluarw2)))**0.5 |
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88 | sigmawb=radw2*(aluarw/(bluarw*(1.+fluarw2)))**0.5 |
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89 | |
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90 | wa=(fluarw*sigmawa) |
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91 | wb=(fluarw*sigmawb) |
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92 | |
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93 | dcas=ran3(idum) |
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94 | |
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95 | if (dcas.le.aluarw) then |
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96 | dcas1=gasdev(idum) |
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97 | wp=timedir*(dcas1*sigmawa+wa) |
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98 | else |
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99 | dcas1=gasdev(idum) |
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100 | wp=timedir*(dcas1*sigmawb-wb) |
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101 | end if |
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102 | |
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103 | return |
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104 | end subroutine initialize_cbl_vel |
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105 | |
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