| 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 plumetraj(itime) |
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| 5 | ! i |
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| 6 | !***************************************************************************** |
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| 7 | ! * |
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| 8 | ! Determines a plume centroid trajectory for each release site, and manages * |
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| 9 | ! clustering of particle locations. Certain parameters (average PV, * |
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| 10 | ! tropopause height, etc., are provided along the plume trajectories. * |
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| 11 | ! At the end, output is written to file 'trajectories.txt'. * |
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| 12 | ! * |
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| 13 | ! Author: A. Stohl * |
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| 14 | ! * |
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| 15 | ! 24 January 2002 * |
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| 16 | ! * |
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| 17 | ! Variables: * |
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| 18 | ! fclust fraction of particles belonging to each cluster * |
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| 19 | ! hmixcenter mean mixing height for all particles * |
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| 20 | ! ncluster number of clusters to be used * |
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| 21 | ! pvcenter mean PV for all particles * |
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| 22 | ! pvfract fraction of particles with PV<2pvu * |
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| 23 | ! rms total horizontal rms distance after clustering * |
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| 24 | ! rmsdist total horizontal rms distance before clustering * |
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| 25 | ! rmsclust horizontal rms distance for each individual cluster * |
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| 26 | ! topocenter mean topography underlying all particles * |
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| 27 | ! tropocenter mean tropopause height at the positions of particles * |
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| 28 | ! tropofract fraction of particles within the troposphere * |
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| 29 | ! zrms total vertical rms distance after clustering * |
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| 30 | ! zrmsdist total vertical rms distance before clustering * |
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| 31 | ! xclust,yclust, Cluster centroid positions * |
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| 32 | ! zclust * |
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| 33 | ! * |
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| 34 | !***************************************************************************** |
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| 35 | |
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| 36 | use point_mod |
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| 37 | use par_mod |
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| 38 | use com_mod |
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| 39 | use mean_mod |
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| 40 | |
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| 41 | implicit none |
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| 42 | |
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| 43 | integer :: itime,ix,jy,ixp,jyp,indexh,i,j,k,m,n,il,ind,indz,indzp |
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| 44 | real :: xl(maxpart),yl(maxpart),zl(maxpart) |
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| 45 | real :: xcenter,ycenter,zcenter,dist,distance,rmsdist,zrmsdist |
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| 46 | |
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| 47 | real :: xclust(ncluster),yclust(ncluster),zclust(ncluster) |
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| 48 | real :: fclust(ncluster),rms,rmsclust(ncluster),zrms |
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| 49 | |
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| 50 | real :: dt1,dt2,dtt,ddx,ddy,rddx,rddy,p1,p2,p3,p4,dz1,dz2,dz |
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| 51 | real :: topo,topocenter,hm(2),hmixi,hmixfract,hmixcenter |
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| 52 | real :: pv1(2),pvprof(2),pvi,pvcenter,pvfract,tr(2),tri,tropofract |
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| 53 | real :: tropocenter |
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| 54 | |
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| 55 | |
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| 56 | dt1=real(itime-memtime(1)) |
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| 57 | dt2=real(memtime(2)-itime) |
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| 58 | dtt=1./(dt1+dt2) |
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| 59 | |
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| 60 | |
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| 61 | ! Loop about all release points |
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| 62 | !****************************** |
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| 63 | |
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| 64 | do j=1,numpoint |
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| 65 | if (abs(ireleasestart(j)-itime).gt.lage(nageclass)) goto 10 |
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| 66 | topocenter=0. |
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| 67 | hmixcenter=0. |
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| 68 | hmixfract=0. |
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| 69 | tropocenter=0. |
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| 70 | tropofract=0. |
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| 71 | pvfract=0. |
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| 72 | pvcenter=0. |
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| 73 | rmsdist=0. |
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| 74 | zrmsdist=0. |
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| 75 | |
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| 76 | n=0 |
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| 77 | do i=1,numpart |
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| 78 | if (itra1(i).ne.itime) goto 20 |
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| 79 | if (npoint(i).ne.j) goto 20 |
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| 80 | n=n+1 |
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| 81 | xl(n)=xlon0+xtra1(i)*dx |
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| 82 | yl(n)=ylat0+ytra1(i)*dy |
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| 83 | zl(n)=ztra1(i) |
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| 84 | |
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| 85 | |
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| 86 | ! Interpolate PBL height, PV, and tropopause height to each |
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| 87 | ! particle position in order to determine fraction of particles |
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| 88 | ! within the PBL, above tropopause height, and average PV. |
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| 89 | ! Interpolate topography, too, and convert to altitude asl |
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| 90 | !************************************************************** |
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| 91 | |
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| 92 | ix=int(xtra1(i)) |
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| 93 | jy=int(ytra1(i)) |
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| 94 | ixp=ix+1 |
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| 95 | jyp=jy+1 |
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| 96 | ddx=xtra1(i)-real(ix) |
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| 97 | ddy=ytra1(i)-real(jy) |
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| 98 | rddx=1.-ddx |
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| 99 | rddy=1.-ddy |
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| 100 | p1=rddx*rddy |
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| 101 | p2=ddx*rddy |
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| 102 | p3=rddx*ddy |
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| 103 | p4=ddx*ddy |
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| 104 | |
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| 105 | ! Topography |
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| 106 | !*********** |
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| 107 | |
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| 108 | topo=p1*oro(ix ,jy) & |
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| 109 | + p2*oro(ixp,jy) & |
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| 110 | + p3*oro(ix ,jyp) & |
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| 111 | + p4*oro(ixp,jyp) |
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| 112 | topocenter=topocenter+topo |
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| 113 | |
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| 114 | ! Potential vorticity |
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| 115 | !******************** |
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| 116 | |
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| 117 | do il=2,nz |
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| 118 | if (height(il).gt.zl(n)) then |
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| 119 | indz=il-1 |
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| 120 | indzp=il |
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| 121 | goto 6 |
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| 122 | endif |
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| 123 | end do |
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| 124 | 6 continue |
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| 125 | |
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| 126 | dz1=zl(n)-height(indz) |
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| 127 | dz2=height(indzp)-zl(n) |
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| 128 | dz=1./(dz1+dz2) |
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| 129 | |
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| 130 | |
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| 131 | do ind=indz,indzp |
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| 132 | do m=1,2 |
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| 133 | indexh=memind(m) |
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| 134 | pv1(m)=p1*pv(ix ,jy ,ind,indexh) & |
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| 135 | +p2*pv(ixp,jy ,ind,indexh) & |
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| 136 | +p3*pv(ix ,jyp,ind,indexh) & |
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| 137 | +p4*pv(ixp,jyp,ind,indexh) |
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| 138 | end do |
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| 139 | pvprof(ind-indz+1)=(pv1(1)*dt2+pv1(2)*dt1)*dtt |
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| 140 | end do |
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| 141 | pvi=(dz1*pvprof(2)+dz2*pvprof(1))*dz |
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| 142 | pvcenter=pvcenter+pvi |
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| 143 | if (yl(n).gt.0.) then |
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| 144 | if (pvi.lt.2.) pvfract=pvfract+1. |
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| 145 | else |
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| 146 | if (pvi.gt.-2.) pvfract=pvfract+1. |
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| 147 | endif |
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| 148 | |
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| 149 | |
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| 150 | ! Tropopause and PBL height |
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| 151 | !************************** |
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| 152 | |
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| 153 | do m=1,2 |
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| 154 | indexh=memind(m) |
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| 155 | |
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| 156 | tr(m)=p1*tropopause(ix ,jy ,1,indexh) & |
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| 157 | + p2*tropopause(ixp,jy ,1,indexh) & |
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| 158 | + p3*tropopause(ix ,jyp,1,indexh) & |
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| 159 | + p4*tropopause(ixp,jyp,1,indexh) |
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| 160 | |
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| 161 | hm(m)=p1*hmix(ix ,jy ,1,indexh) & |
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| 162 | + p2*hmix(ixp,jy ,1,indexh) & |
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| 163 | + p3*hmix(ix ,jyp,1,indexh) & |
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| 164 | + p4*hmix(ixp,jyp,1,indexh) |
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| 165 | end do |
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| 166 | |
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| 167 | hmixi=(hm(1)*dt2+hm(2)*dt1)*dtt |
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| 168 | tri=(tr(1)*dt2+tr(2)*dt1)*dtt |
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| 169 | if (zl(n).lt.tri) tropofract=tropofract+1. |
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| 170 | tropocenter=tropocenter+tri+topo |
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| 171 | if (zl(n).lt.hmixi) hmixfract=hmixfract+1. |
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| 172 | zl(n)=zl(n)+topo ! convert to height asl |
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| 173 | hmixcenter=hmixcenter+hmixi |
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| 174 | |
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| 175 | |
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| 176 | 20 continue |
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| 177 | end do |
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| 178 | |
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| 179 | |
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| 180 | ! Make statistics for all plumes with n>0 particles |
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| 181 | !************************************************** |
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| 182 | |
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| 183 | if (n.gt.0) then |
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| 184 | topocenter=topocenter/real(n) |
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| 185 | hmixcenter=hmixcenter/real(n) |
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| 186 | pvcenter=pvcenter/real(n) |
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| 187 | tropocenter=tropocenter/real(n) |
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| 188 | hmixfract=100.*hmixfract/real(n) |
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| 189 | pvfract=100.*pvfract/real(n) |
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| 190 | tropofract=100.*tropofract/real(n) |
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| 191 | |
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| 192 | ! Cluster the particle positions |
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| 193 | !******************************* |
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| 194 | |
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| 195 | call clustering(xl,yl,zl,n,xclust,yclust,zclust,fclust,rms, & |
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| 196 | rmsclust,zrms) |
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| 197 | |
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| 198 | |
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| 199 | ! Determine center of mass position on earth and average height |
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| 200 | !************************************************************** |
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| 201 | |
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| 202 | call centerofmass(xl,yl,n,xcenter,ycenter) |
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| 203 | call mean(zl,zcenter,zrmsdist,n) |
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| 204 | |
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| 205 | ! Root mean square distance from center of mass |
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| 206 | !********************************************** |
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| 207 | |
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| 208 | do k=1,n |
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| 209 | dist=distance(yl(k),xl(k),ycenter,xcenter) |
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| 210 | rmsdist=rmsdist+dist*dist |
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| 211 | end do |
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| 212 | if (rmsdist.gt.0.) rmsdist=sqrt(rmsdist/real(n)) |
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| 213 | rmsdist=max(rmsdist,0.) |
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| 214 | |
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| 215 | ! Write out results in trajectory data file |
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| 216 | !****************************************** |
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| 217 | |
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| 218 | write(unitouttraj,'(i5,i8,2f9.4,4f8.1,f8.2,4f8.1,3f6.1,& |
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| 219 | &5(2f8.3,f7.0,f6.1,f8.1))')& |
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| 220 | &j,itime-(ireleasestart(j)+ireleaseend(j))/2, & |
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| 221 | xcenter,ycenter,zcenter,topocenter,hmixcenter,tropocenter, & |
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| 222 | pvcenter,rmsdist,rms,zrmsdist,zrms,hmixfract,pvfract, & |
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| 223 | tropofract, & |
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| 224 | (xclust(k),yclust(k),zclust(k),fclust(k),rmsclust(k), & |
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| 225 | k=1,ncluster) |
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| 226 | endif |
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| 227 | |
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| 228 | |
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| 229 | 10 continue |
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| 230 | end do |
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| 231 | |
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| 232 | |
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| 233 | end subroutine plumetraj |
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