| 1 | ! SPDX-FileCopyrightText: FLEXPART 1998-2019, see flexpart_license.txt |
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| 2 | ! SPDX-License-Identifier: GPL-3.0-or-later |
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| 3 | |
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| 4 | subroutine initialize_cbl_vel(idum,zp,ust,wst,h,sigmaw,wp, ol) |
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| 5 | ! i/o i i i i i o i |
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| 6 | |
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| 7 | use par_mod, only:pi |
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| 8 | use com_mod, only:ldirect |
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| 9 | use random_mod, only: gasdev, ran3 |
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| 10 | |
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| 11 | implicit none |
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| 12 | |
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| 13 | !=============================================================================== |
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| 14 | ! CBL skewed vertical profiles and formulation of LHH 1996 with profile of w3 |
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| 15 | ! from LHB 2000 |
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| 16 | ! LHH formulation has been modified to account for variable density profiles and |
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| 17 | ! backward in time or forward in time simulations |
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| 18 | ! see Cassiani et al. BLM 2014 doi for explanations and references |
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| 19 | !=============================================================================== |
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| 20 | |
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| 21 | |
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| 22 | real :: usurad2,usurad2p,C0,costluar4,eps |
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| 23 | parameter (usurad2=0.7071067812,usurad2p=0.3989422804,C0=2,costluar4=0.66667,eps=0.000001) |
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| 24 | |
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| 25 | integer idum |
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| 26 | real :: wp,zp,ust,wst,h,dens,ddens,sigmaw,dsigmawdz,tlw,dcas,dcas1!,ran3,gasdev |
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| 27 | real :: w3,w2 |
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| 28 | real :: z, & |
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| 29 | skew, & |
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| 30 | skew2, & |
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| 31 | radw2, & |
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| 32 | fluarw,fluarw2, & |
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| 33 | rluarw, & |
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| 34 | xluarw, & |
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| 35 | aluarw, & |
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| 36 | bluarw, & |
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| 37 | sigmawa, & |
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| 38 | sigmawb, & |
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| 39 | ath, & |
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| 40 | bth, & |
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| 41 | wb,wa |
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| 42 | real timedir |
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| 43 | real ol, transition |
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| 44 | |
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| 45 | !--------------------------------------------------------------------------- |
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| 46 | timedir=ldirect !direction of time forward (1) or backward(-1) |
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| 47 | z=zp/h |
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| 48 | |
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| 49 | |
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| 50 | transition=1. |
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| 51 | if (-h/ol.lt.15) transition=((sin((((-h/ol)+10.)/10.)*pi)))/2.+0.5 !see also in cbl.f90 |
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| 52 | |
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| 53 | w2=sigmaw*sigmaw |
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| 54 | w3=(((1.2*z*((1.-z)**(3./2.)))+eps)*wst**3) *transition |
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| 55 | |
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| 56 | skew=w3/(w2**1.5) |
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| 57 | skew2=skew*skew |
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| 58 | |
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| 59 | radw2=sqrt(w2) !sigmaw |
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| 60 | |
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| 61 | fluarw=costluar4*skew**0.333333333333333 |
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| 62 | fluarw2=fluarw*fluarw |
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| 63 | rluarw=(1.+fluarw2)**3.*skew2/((3.+fluarw2)**2.*fluarw2) !-> r |
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| 64 | xluarw=rluarw**0.5 !----> r^1/2 |
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| 65 | |
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| 66 | aluarw=0.5*(1.-xluarw/(4.+rluarw)**0.5) |
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| 67 | bluarw=1.-aluarw |
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| 68 | |
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| 69 | sigmawa=radw2*(bluarw/(aluarw*(1.+fluarw2)))**0.5 |
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| 70 | sigmawb=radw2*(aluarw/(bluarw*(1.+fluarw2)))**0.5 |
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| 71 | |
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| 72 | wa=(fluarw*sigmawa) |
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| 73 | wb=(fluarw*sigmawb) |
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| 74 | |
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| 75 | dcas=ran3(idum) |
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| 76 | |
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| 77 | if (dcas.le.aluarw) then |
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| 78 | dcas1=gasdev(idum) |
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| 79 | wp=timedir*(dcas1*sigmawa+wa) |
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| 80 | else |
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| 81 | dcas1=gasdev(idum) |
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| 82 | wp=timedir*(dcas1*sigmawb-wb) |
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| 83 | end if |
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| 84 | |
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| 85 | return |
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| 86 | end subroutine initialize_cbl_vel |
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| 87 | |
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