[16] | 1 | !*********************************************************************** |
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| 2 | !* Copyright 2012,2013 * |
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| 3 | !* Jerome Brioude, Delia Arnold, Andreas Stohl, Wayne Angevine, * |
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| 4 | !* John Burkhart, Massimo Cassiani, Adam Dingwell, Richard C Easter, Sabine Eckhardt,* |
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| 5 | !* Stephanie Evan, Jerome D Fast, Don Morton, Ignacio Pisso, * |
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| 6 | !* Petra Seibert, Gerard Wotawa, Caroline Forster, Harald Sodemann, * |
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| 7 | !* * |
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| 8 | !* This file is part of FLEXPART WRF * |
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| 9 | !* * |
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| 10 | !* FLEXPART is free software: you can redistribute it and/or modify * |
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| 11 | !* it under the terms of the GNU General Public License as published by* |
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| 12 | !* the Free Software Foundation, either version 3 of the License, or * |
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| 13 | !* (at your option) any later version. * |
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| 14 | !* * |
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| 15 | !* FLEXPART is distributed in the hope that it will be useful, * |
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| 16 | !* but WITHOUT ANY WARRANTY; without even the implied warranty of * |
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| 17 | !* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * |
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| 18 | !* GNU General Public License for more details. * |
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| 19 | !* * |
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| 20 | !* You should have received a copy of the GNU General Public License * |
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| 21 | !* along with FLEXPART. If not, see <http://www.gnu.org/licenses/>. * |
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| 22 | !*********************************************************************** |
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| 23 | |
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| 24 | subroutine tke_partition_hanna(z, & |
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| 25 | ust,wst,ol,h,zeta,sigu,sigv,tlu,tlv,tlw, & |
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| 26 | sigw,dsigwdz,dsigw2dz,uprof,vprof,tkeprof,pttprof,indz,indzp) |
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| 27 | ! i |
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| 28 | !******************************************************************************* |
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| 29 | ! * |
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| 30 | ! Computation of \sigma_u,v,w,dsigwdz, and dsigw2dz based on TKE from WRF * |
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| 31 | ! * |
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| 32 | ! Author: A. Stohl * |
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| 33 | ! * |
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| 34 | ! 4 December 1997 * |
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| 35 | ! * |
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| 36 | !******************************************************************************* |
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| 37 | ! * |
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| 38 | ! Variables: * |
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| 39 | ! dsigwdz [1/s] vertical gradient of sigw * |
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| 40 | ! ol [m] Obukhov length * |
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| 41 | ! sigu, sigv, sigw standard deviations of turbulent velocity fluctuations * |
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| 42 | ! tlu [s] Lagrangian time scale for the along wind component. * |
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| 43 | ! tlv [s] Lagrangian time scale for the cross wind component. * |
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| 44 | ! tlw [s] Lagrangian time scale for the vertical wind component. * |
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| 45 | ! ust, ustar [m/s] friction velocity * |
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| 46 | ! wst, wstar [m/s] convective velocity scale * |
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| 47 | ! * |
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| 48 | !******************************************************************************* |
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| 49 | ! 12 JUNE 2007 compute sigu,sigv,sigw,dsigwdz, and dsigw2dz from TKE * |
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| 50 | ! fu2 fraction for u2 |
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| 51 | ! fv2 fraction for v2 |
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| 52 | ! fw2 fraction for w2 |
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| 53 | ! |
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| 54 | ! 25 JUNE 2007 merged from hanna_tke and tke_partition.f |
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| 55 | |
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| 56 | ! include 'includepar' |
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| 57 | ! include 'includecom' |
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| 58 | ! include 'includehanna' |
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| 59 | ! include 'includeinterpol' |
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| 60 | use par_mod |
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| 61 | use com_mod |
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| 62 | ! use hanna_mod |
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| 63 | ! use interpol_mod |
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| 64 | implicit none |
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| 65 | real :: corr,z,zzz,hanna_sigu,hanna_sigv,hanna_sigw,dz,dz1,dz2 |
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| 66 | real :: fu2(2),fv2(2),fw2(2) |
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| 67 | real :: siguprof(2),sigvprof(2),sigwprof(2) |
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| 68 | integer :: k,indz,indzp |
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| 69 | real :: uprof(nzmax),vprof(nzmax),tkeprof(nzmax),pttprof(nzmax) |
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| 70 | real :: ust,wst,ol,h,zeta,sigu,sigv,tlu,tlv,tlw |
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| 71 | real :: sigw,dsigwdz,dsigw2dz |
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| 72 | |
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| 73 | do k=1,2 |
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| 74 | fu2(k)=0.333 |
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| 75 | fv2(k)=0.333 |
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| 76 | fw2(k)=0.333 |
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| 77 | siguprof(k)=0.0 |
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| 78 | sigvprof(k)=0.0 |
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| 79 | sigwprof(k)=0.0 |
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| 80 | enddo |
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| 81 | |
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| 82 | ! determine fraction |
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| 83 | do k=1,2 ! k fraction |
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| 84 | !********************** |
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| 85 | ! 1. Neutral conditions |
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| 86 | !********************** |
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| 87 | if (k .eq. 1) zzz=height(indz) |
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| 88 | if (k .eq. 2) zzz=height(indzp) |
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| 89 | if (h/abs(ol).lt.1.) then |
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| 90 | ust=max(1.e-4,ust) |
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| 91 | corr=height(indz+k-1)/ust |
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| 92 | hanna_sigu=1.e-2+2.0*ust*exp(-3.e-4*corr) |
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| 93 | hanna_sigw=1.e-2+1.3*ust*exp(-2.e-4*corr) |
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| 94 | hanna_sigv=hanna_sigw |
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| 95 | |
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| 96 | !*********************** |
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| 97 | ! 2. Unstable conditions |
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| 98 | !*********************** |
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| 99 | |
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| 100 | else if (ol.lt.0.) then |
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| 101 | |
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| 102 | |
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| 103 | ! Determine sigmas |
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| 104 | !***************** |
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| 105 | |
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| 106 | hanna_sigu=1.e-2+ust*(12-0.5*h/ol)**0.33333 |
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| 107 | hanna_sigv=hanna_sigu |
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| 108 | hanna_sigw=sqrt(1.2*wst**2*(1.-.9*zeta)*height(indz+k-1)/h & |
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| 109 | **0.66666+(1.8-1.4*height(k)/h)*ust**2)+1.e-2 |
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| 110 | |
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| 111 | !********************* |
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| 112 | ! 3. Stable conditions |
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| 113 | !********************* |
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| 114 | else |
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| 115 | hanna_sigu=1.e-2+2.*ust*(1.-height(indz+k-1)/h) |
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| 116 | hanna_sigv=1.e-2+1.3*ust*(1.-height(indz+k-1)/h) |
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| 117 | hanna_sigw=hanna_sigv |
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| 118 | endif |
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| 119 | fu2(k)=hanna_sigu**2/(hanna_sigu**2+hanna_sigv**2+hanna_sigw**2) |
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| 120 | fv2(k)=hanna_sigv**2/(hanna_sigu**2+hanna_sigv**2+hanna_sigw**2) |
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| 121 | fw2(k)=hanna_sigw**2/(hanna_sigu**2+hanna_sigv**2+hanna_sigw**2) |
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| 122 | enddo !k fraction |
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| 123 | |
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| 124 | !- compute sigu,v,w |
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| 125 | do k=1,2 ! siguprof |
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| 126 | siguprof(k)=max(sqrt(2.0*tkeprof(indz+k-1)*fu2(k)),1.e-2) |
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| 127 | sigvprof(k)=max(sqrt(2.0*tkeprof(indz+k-1)*fv2(k)),1.e-2) |
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| 128 | sigwprof(k)=max(sqrt(2.0*tkeprof(indz+k-1)*fw2(k)),1.e-2) |
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| 129 | !C write(*,*)'z=',height(indz+k-1),'tke=', tkeprof(indz+k-1) |
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| 130 | enddo ! siguprof |
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| 131 | ! write(*,*)'tkeprof=',(tkeprof(k),k=1,nz) |
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| 132 | !- interpolate sigu,sigv, sigw |
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| 133 | dz=1./(height(indzp)-height(indz)) |
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| 134 | dz1=(z - height(indz))*dz |
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| 135 | dz2=(height(indzp)-z)*dz |
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| 136 | |
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| 137 | sigu=dz1*siguprof(2)+dz2*siguprof(1) |
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| 138 | sigv=dz1*sigvprof(2)+dz2*sigvprof(1) |
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| 139 | sigw=dz1*sigwprof(2)+dz2*sigwprof(1) |
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| 140 | |
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| 141 | dsigwdz=max(1.e-10,(sigwprof(2)-sigwprof(1))*dz ) |
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| 142 | dsigw2dz=max(1.e-10,(sigwprof(2)**2-sigwprof(1)**2)*dz ) |
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| 143 | |
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| 144 | !-- compute length scales based on hanna(1982) |
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| 145 | !************************* |
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| 146 | ! 1. Neutral conditions |
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| 147 | !********************** |
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| 148 | |
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| 149 | if (h/abs(ol).lt.1.) then |
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| 150 | tlu=0.5*z/sigw/(1.+1.5e-3*corr) |
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| 151 | tlv=tlu |
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| 152 | tlw=tlu |
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| 153 | |
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| 154 | !*********************** |
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| 155 | ! 2. Unstable conditions |
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| 156 | !*********************** |
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| 157 | |
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| 158 | else if (ol.lt.0.) then |
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| 159 | |
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| 160 | ! Determine average Lagrangian time scale |
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| 161 | !**************************************** |
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| 162 | |
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| 163 | tlu=0.15*h/sigu |
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| 164 | tlv=tlu |
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| 165 | if (z.lt.abs(ol)) then |
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| 166 | tlw=0.1*z/(sigw*(0.55-0.38*abs(z/ol))) |
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| 167 | else if (zeta.lt.0.1) then |
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| 168 | tlw=0.59*z/sigw |
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| 169 | else |
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| 170 | tlw=0.15*h/sigw*(1.-exp(-5*zeta)) |
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| 171 | endif |
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| 172 | |
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| 173 | |
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| 174 | !********************* |
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| 175 | ! 3. Stable conditions |
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| 176 | !********************* |
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| 177 | |
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| 178 | else |
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| 179 | tlu=0.15*h/sigu*(sqrt(zeta)) |
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| 180 | tlv=0.467*tlu |
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| 181 | tlw=0.1*h/sigw*zeta**0.8 |
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| 182 | endif |
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| 183 | |
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| 184 | tlu=max(10.,tlu) |
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| 185 | tlv=max(10.,tlv) |
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| 186 | tlw=max(30.,tlw) |
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| 187 | |
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| 188 | |
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| 189 | |
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| 190 | |
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| 191 | |
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| 192 | end subroutine tke_partition_hanna |
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