| 1 | !*********************************************************************** |
|---|
| 2 | !* Copyright 2012,2013 * |
|---|
| 3 | !* Jerome Brioude, Delia Arnold, Andreas Stohl, Wayne Angevine, * |
|---|
| 4 | !* John Burkhart, Massimo Cassiani, Adam Dingwell, Richard C Easter, Sabine Eckhardt,* |
|---|
| 5 | !* Stephanie Evan, Jerome D Fast, Don Morton, Ignacio Pisso, * |
|---|
| 6 | !* Petra Seibert, Gerard Wotawa, Caroline Forster, Harald Sodemann, * |
|---|
| 7 | !* * |
|---|
| 8 | !* This file is part of FLEXPART WRF * |
|---|
| 9 | !* * |
|---|
| 10 | !* FLEXPART is free software: you can redistribute it and/or modify * |
|---|
| 11 | !* it under the terms of the GNU General Public License as published by* |
|---|
| 12 | !* the Free Software Foundation, either version 3 of the License, or * |
|---|
| 13 | !* (at your option) any later version. * |
|---|
| 14 | !* * |
|---|
| 15 | !* FLEXPART is distributed in the hope that it will be useful, * |
|---|
| 16 | !* but WITHOUT ANY WARRANTY; without even the implied warranty of * |
|---|
| 17 | !* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * |
|---|
| 18 | !* GNU General Public License for more details. * |
|---|
| 19 | !* * |
|---|
| 20 | !* You should have received a copy of the GNU General Public License * |
|---|
| 21 | !* along with FLEXPART. If not, see <http://www.gnu.org/licenses/>. * |
|---|
| 22 | !*********************************************************************** |
|---|
| 23 | |
|---|
| 24 | subroutine tke_partition_my(z, & |
|---|
| 25 | ust,wst,ol,h,zeta,sigu,sigv,tlu,tlv,tlw, & |
|---|
| 26 | sigw,dsigwdz,dsigw2dz,uprof,vprof,tkeprof,pttprof,indz,indzp) |
|---|
| 27 | |
|---|
| 28 | ! i |
|---|
| 29 | !******************************************************************************* |
|---|
| 30 | ! * |
|---|
| 31 | ! Computation of \sigma_u,v,w,dsigwdz, and dsigw2dz based on TKE from WRF * |
|---|
| 32 | ! * |
|---|
| 33 | ! Author: A. Stohl * |
|---|
| 34 | ! * |
|---|
| 35 | ! 4 December 1997 * |
|---|
| 36 | ! * |
|---|
| 37 | !******************************************************************************* |
|---|
| 38 | ! * |
|---|
| 39 | ! Variables: * |
|---|
| 40 | ! dsigwdz [1/s] vertical gradient of sigw * |
|---|
| 41 | ! ol [m] Obukhov length * |
|---|
| 42 | ! sigu, sigv, sigw standard deviations of turbulent velocity fluctuations * |
|---|
| 43 | ! tlu [s] Lagrangian time scale for the along wind component. * |
|---|
| 44 | ! tlv [s] Lagrangian time scale for the cross wind component. * |
|---|
| 45 | ! tlw [s] Lagrangian time scale for the vertical wind component. * |
|---|
| 46 | ! ust, ustar [m/s] friction velocity * |
|---|
| 47 | ! wst, wstar [m/s] convective velocity scale * |
|---|
| 48 | ! * |
|---|
| 49 | !******************************************************************************* |
|---|
| 50 | ! 12 JUNE 2007 compute sigu,sigv,sigw,dsigwdz, and dsigw2dz from TKE * |
|---|
| 51 | ! fu2 fraction for u2 |
|---|
| 52 | ! fv2 fraction for v2 |
|---|
| 53 | ! fw2 fraction for w2 |
|---|
| 54 | ! |
|---|
| 55 | ! 25 JUNE 2007 merged from hanna_tke and tke_partition.f |
|---|
| 56 | ! 11 Sep 2007 implement different formulations for growing and decaying turbulences |
|---|
| 57 | |
|---|
| 58 | ! include 'includepar' |
|---|
| 59 | ! include 'includecom' |
|---|
| 60 | ! include 'includehanna' |
|---|
| 61 | ! include 'includeinterpol' |
|---|
| 62 | use par_mod |
|---|
| 63 | use com_mod |
|---|
| 64 | ! use hanna_mod |
|---|
| 65 | ! use interpol_mod |
|---|
| 66 | |
|---|
| 67 | implicit none |
|---|
| 68 | real :: z,zzz,zzz1,dz,dz1,dz2,tke_z,dpttdz |
|---|
| 69 | real :: fu2,fv2,fw2,ftotal,ygu,ygv,ygm,ygh,yl,ylmax,ysm,ysh |
|---|
| 70 | real :: siguprof(2),sigvprof(2),sigwprof(2) |
|---|
| 71 | real :: ya1 |
|---|
| 72 | real :: ya2 |
|---|
| 73 | real :: yb1 |
|---|
| 74 | real :: yb2 |
|---|
| 75 | real :: yc1 |
|---|
| 76 | real :: yse |
|---|
| 77 | real :: yap |
|---|
| 78 | real :: e1,e2,e3,e4,e5,rf,rfc,rf1,rf2,ch,cm |
|---|
| 79 | real :: er,smr,shr,dudz,dvdz,tke_mid |
|---|
| 80 | integer :: k,indz,indzp |
|---|
| 81 | real :: uprof(nzmax),vprof(nzmax),tkeprof(nzmax),pttprof(nzmax) |
|---|
| 82 | real :: ust,wst,ol,h,zeta,sigu,sigv,tlu,tlv,tlw |
|---|
| 83 | real :: sigw,dsigwdz,dsigw2dz |
|---|
| 84 | |
|---|
| 85 | ! data ya1,ya2,yb1,yb2,yc1,yse,yap/ |
|---|
| 86 | ! + 0.92,0.74,16.6,10.1,0.08,0.20,0.17/ |
|---|
| 87 | ya1=0.92 |
|---|
| 88 | ya2=0.74 |
|---|
| 89 | yb1=16.6 |
|---|
| 90 | yb2=10.1 |
|---|
| 91 | yc1=0.08 |
|---|
| 92 | yse=0.20 |
|---|
| 93 | yap=0.17 |
|---|
| 94 | |
|---|
| 95 | !- interpolate tke |
|---|
| 96 | dz=1./(height(indzp)-height(indz)) |
|---|
| 97 | dz1=(z - height(indz))*dz |
|---|
| 98 | dz2=(height(indzp)-z)*dz |
|---|
| 99 | |
|---|
| 100 | tke_z=max(0.01,dz1*tkeprof(indzp)+dz2*tkeprof(indz)) |
|---|
| 101 | |
|---|
| 102 | !- compute turbulent length scale |
|---|
| 103 | ! yl -- turbulence length scale |
|---|
| 104 | ! ylmax -- max yl |
|---|
| 105 | yl=0.01 |
|---|
| 106 | ylmax=0.01 |
|---|
| 107 | do k=1,nz-1 |
|---|
| 108 | zzz=0.5*(height(k)+height(k+1)) |
|---|
| 109 | zzz1=height(k+1)-height(k) |
|---|
| 110 | yl=yl+zzz*sqrt(0.5*(tkeprof(k)+tkeprof(k+1)))*zzz1 |
|---|
| 111 | ylmax=ylmax+zzz1*sqrt(0.5*(tkeprof(k)+tkeprof(k+1))) |
|---|
| 112 | enddo |
|---|
| 113 | ylmax=0.1*yl/ylmax |
|---|
| 114 | yl=0.4*(z+0.1)/(1.0+0.4*(z+0.1)/ylmax) |
|---|
| 115 | if (pttprof(indzp) .gt. pttprof(indz)) then |
|---|
| 116 | |
|---|
| 117 | dpttdz = (pttprof(indzp)-pttprof(indz))*dz |
|---|
| 118 | |
|---|
| 119 | yl=min(yl,0.75*sqrt(2.0*tke_z/(9.8/300.0)/dpttdz)) |
|---|
| 120 | ! endif |
|---|
| 121 | !- compute nondimensional vertical gradients |
|---|
| 122 | dudz=(uprof(indzp)-uprof(indz))*dz |
|---|
| 123 | dvdz=(vprof(indzp)-vprof(indz))*dz |
|---|
| 124 | ygu=yl/sqrt(2.0*tke_z)*dudz |
|---|
| 125 | ygv=yl/sqrt(2.0*tke_z)*dvdz |
|---|
| 126 | ygm=ygu*ygu+ygv*ygv+0.001 ! in case of zero |
|---|
| 127 | ygh=-yl*yl/2.0/tke_z*dpttdz*9.8/300.0 |
|---|
| 128 | |
|---|
| 129 | !-- compute SM,SH |
|---|
| 130 | !- sm,sh nondimensional eddy diffusivities |
|---|
| 131 | |
|---|
| 132 | ysm=1.0-3.0*ya2*(7.0*ya1+yb2)*ygh+ & |
|---|
| 133 | 27.0*ya1*ya2*ya2*(4*ya1+yb2)*ygh*ygh+ & |
|---|
| 134 | 6.0*ya1*ya1*(1.0-3.0*ya2*(yb2-3.0*ya2)*ygh)*ygm |
|---|
| 135 | ysm=ya1*(1-3*yc1-3*ya2*(yb2*(1-3*yc1)-12*ya1*yc1-3*ya2) & |
|---|
| 136 | *ygh)/ysm |
|---|
| 137 | |
|---|
| 138 | ysh=ya2*(1-6*ya1*ysm*ygm)/(1-3*ya2*ygh*(4*ya1+yb2)) |
|---|
| 139 | |
|---|
| 140 | |
|---|
| 141 | ! -- compute the equlibrium TKE, er |
|---|
| 142 | e1=yb1-6.0*ya1 |
|---|
| 143 | e2=12*ya1+yb1+3.0*yb2 |
|---|
| 144 | e3=yb1*(1.0-3.0*yc1)-6.0*ya1 |
|---|
| 145 | e4=yb1*(1.0-3.0*yc1)+12*ya1+9.0*ya2 |
|---|
| 146 | e5=yb1+3.0*ya1+3.0*yb2 |
|---|
| 147 | ch=ya2*e2/yb1 |
|---|
| 148 | cm=ya1*e4/ya2/e5 |
|---|
| 149 | rf1=e3/e4 |
|---|
| 150 | rf2=e1/e5 |
|---|
| 151 | rfc=e1/e2 |
|---|
| 152 | rf=-(ysh/ysm)*( ygh/ygm ) |
|---|
| 153 | ! write(*,*)'ysh,ysm',ysh,ysm |
|---|
| 154 | ! write(*,*)'ygh,ygm,dpttdz, ptt',ygh,ygm,dpttdz,pttprof(indzp) |
|---|
| 155 | ! if (rf .le. 0) write(*,*)'aaaaaaaaaaaaaaa' |
|---|
| 156 | shr = 0.0 |
|---|
| 157 | if (rf .ge. rfc) then |
|---|
| 158 | shr=ch*1.0e-4 ! Ri > critical value, then = |
|---|
| 159 | elseif ((1.0-rf) .ne. 0.0) then |
|---|
| 160 | shr=ch*(rfc-rf)/(1.0-rf) |
|---|
| 161 | endif |
|---|
| 162 | |
|---|
| 163 | smr = 0.0 |
|---|
| 164 | if (rf .ge. rf1) then |
|---|
| 165 | smr=cm*shr*1.0e-4 |
|---|
| 166 | elseif((rf2-rf) .ne. 0.0 .and. rf .lt. rf2) then |
|---|
| 167 | smr=cm*(rf1-rf)/(rf2-rf)*shr |
|---|
| 168 | endif |
|---|
| 169 | |
|---|
| 170 | er=0.5*yb1*yl*yl*(smr*dudz*dudz*dvdz*dvdz- & |
|---|
| 171 | shr*dpttdz*9.8/300.0) |
|---|
| 172 | er=max(er,0.01) |
|---|
| 173 | if (tke_z .ge. er ) then ! decaying turbuelnce |
|---|
| 174 | tke_mid=tke_z |
|---|
| 175 | else |
|---|
| 176 | tke_mid=er |
|---|
| 177 | ysm=sqrt(tke_z/er)*smr |
|---|
| 178 | ysh=sqrt(tke_z/er)*shr |
|---|
| 179 | endif |
|---|
| 180 | |
|---|
| 181 | !- fractions of u2,v2,w2 |
|---|
| 182 | ! print*,'in tke',tke_mid,ya1,ysm,ygm,ysh,ygh,ygu |
|---|
| 183 | fu2=0.333-2*ya1*(ysm*ygm+ysh*ygh)+6*ya1*ysm*ygu*ygu |
|---|
| 184 | fv2=0.333-2*ya1*(ysm*ygm+ysh*ygh)+6*ya1*ysm*ygv*ygv |
|---|
| 185 | fw2=0.333-2*ya1*(ysm*ygm+ysh*ygh)+6*ya1*ysh*ygh |
|---|
| 186 | ! fw2=0.333-2*ya1*(ysm*ygm+ysh*ygh)+6*ya1*ysm*ygh*ygh |
|---|
| 187 | ! fw2=fw2*0.5 |
|---|
| 188 | if(fu2*fv2*fw2 .le. 0.0) then |
|---|
| 189 | fu2=0.333 |
|---|
| 190 | fv2=0.333 |
|---|
| 191 | fw2=0.333 |
|---|
| 192 | endif |
|---|
| 193 | |
|---|
| 194 | else ! test on pttprof |
|---|
| 195 | |
|---|
| 196 | fu2=0.333 |
|---|
| 197 | fv2=0.333 |
|---|
| 198 | fw2=0.333 |
|---|
| 199 | tke_mid=tke_z |
|---|
| 200 | endif |
|---|
| 201 | !ftotal=(fu2+fv2+fw2) |
|---|
| 202 | !fu2=fu2/ftotal |
|---|
| 203 | !fv2=fv2/ftotal |
|---|
| 204 | !fw2=fw2/ftotal |
|---|
| 205 | |
|---|
| 206 | ! JB: make the partitionning equal |
|---|
| 207 | ! fu2=0.333 |
|---|
| 208 | ! fv2=0.333 |
|---|
| 209 | ! fw2=0.333 |
|---|
| 210 | ! |
|---|
| 211 | sigu=sqrt(2.0*tke_mid*fu2) |
|---|
| 212 | sigv=sqrt(2.0*tke_mid*fv2) |
|---|
| 213 | sigw=sqrt(2.0*tke_mid*fw2) |
|---|
| 214 | |
|---|
| 215 | tlu=2.0*yl/sigu |
|---|
| 216 | tlv=2.0*yl/sigv |
|---|
| 217 | tlw=2.0*yl/sigw |
|---|
| 218 | |
|---|
| 219 | tlu=max(10.,tlu) |
|---|
| 220 | tlv=max(10.,tlv) |
|---|
| 221 | tlw=max(30.,tlw) |
|---|
| 222 | |
|---|
| 223 | !- dsigw/dz,dsigw2/dz ; assuming fraction is not changed |
|---|
| 224 | |
|---|
| 225 | dsigwdz=(sqrt(2.0*tkeprof(indzp)*fw2)- & |
|---|
| 226 | sqrt(2.0*tkeprof(indz)*fw2))*dz |
|---|
| 227 | dsigwdz=max(1.0e-10,dsigwdz) |
|---|
| 228 | |
|---|
| 229 | dsigw2dz=(2.0*tkeprof(indzp)*fw2-2.0*tkeprof(indz)*fw2)*dz |
|---|
| 230 | dsigw2dz=max(1.0e-10,dsigw2dz) |
|---|
| 231 | |
|---|
| 232 | ! write(*,*)'tke=',tke_z, 'er=',er |
|---|
| 233 | ! write(*,*)'rfc,rf1,rf2,rf=',rfc,rf1,rf2,rf |
|---|
| 234 | ! write(*,*)'smr=',smr,'ysm=',ysm |
|---|
| 235 | ! write(*,*)'shr=',shr,'ysh=',ysh |
|---|
| 236 | ! write(*,*)'fu2,fv2,fw2=',fu2,fv2,fw2 |
|---|
| 237 | ! write(*,*)'ftotal=',ftotal |
|---|
| 238 | ! if (fu2*fv2*fw2 .le. 0) stop |
|---|
| 239 | end subroutine tke_partition_my |
|---|
