| 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 interpol_all(itime,xt,yt,zt) |
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| 23 | ! i i i i |
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| 24 | !***************************************************************************** |
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| 25 | ! * |
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| 26 | ! This subroutine interpolates everything that is needed for calculating the* |
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| 27 | ! dispersion. * |
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| 28 | ! * |
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| 29 | ! Author: A. Stohl * |
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| 30 | ! * |
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| 31 | ! 16 December 1997 * |
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| 32 | ! * |
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| 33 | ! Revision March 2005 by AST : all output variables in common block cal- * |
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| 34 | ! culation of standard deviation done in this * |
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| 35 | ! routine rather than subroutine call in order * |
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| 36 | ! to save computation time * |
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| 37 | ! * |
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| 38 | !***************************************************************************** |
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| 39 | ! * |
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| 40 | ! Variables: * |
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| 41 | ! itime [s] current temporal position * |
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| 42 | ! memtime(3) [s] times of the wind fields in memory * |
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| 43 | ! xt,yt,zt coordinates position for which wind data shall be * |
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| 44 | ! culated * |
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| 45 | ! * |
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| 46 | ! Constants: * |
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| 47 | ! * |
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| 48 | !***************************************************************************** |
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| 49 | |
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| 50 | use par_mod |
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| 51 | use com_mod |
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| 52 | use interpol_mod |
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| 53 | use hanna_mod |
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| 54 | |
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| 55 | implicit none |
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| 56 | |
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| 57 | integer :: itime |
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| 58 | real :: xt,yt,zt |
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| 59 | |
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| 60 | ! Auxiliary variables needed for interpolation |
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| 61 | real :: ust1(2),wst1(2),oli1(2),oliaux |
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| 62 | real :: y1(2),y2(2),y3(2),rho1(2),rhograd1(2) |
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| 63 | real :: usl,vsl,wsl,usq,vsq,wsq,xaux |
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| 64 | integer :: i,m,n,indexh |
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| 65 | real,parameter :: eps=1.0e-30 |
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| 66 | |
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| 67 | |
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| 68 | !******************************************** |
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| 69 | ! Multilinear interpolation in time and space |
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| 70 | !******************************************** |
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| 71 | |
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| 72 | ! Determine the lower left corner and its distance to the current position |
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| 73 | !************************************************************************* |
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| 74 | |
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| 75 | ddx=xt-real(ix) |
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| 76 | ddy=yt-real(jy) |
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| 77 | rddx=1.-ddx |
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| 78 | rddy=1.-ddy |
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| 79 | p1=rddx*rddy |
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| 80 | p2=ddx*rddy |
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| 81 | p3=rddx*ddy |
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| 82 | p4=ddx*ddy |
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| 83 | |
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| 84 | ! Calculate variables for time interpolation |
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| 85 | !******************************************* |
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| 86 | |
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| 87 | dt1=real(itime-memtime(1)) |
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| 88 | dt2=real(memtime(2)-itime) |
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| 89 | dtt=1./(dt1+dt2) |
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| 90 | |
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| 91 | |
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| 92 | !***************************************** |
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| 93 | ! 1. Interpolate u*, w* and Obukhov length |
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| 94 | !***************************************** |
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| 95 | |
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| 96 | ! a) Bilinear horizontal interpolation |
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| 97 | |
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| 98 | do m=1,2 |
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| 99 | indexh=memind(m) |
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| 100 | |
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| 101 | ust1(m)=p1*ustar(ix ,jy ,1,indexh) & |
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| 102 | + p2*ustar(ixp,jy ,1,indexh) & |
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| 103 | + p3*ustar(ix ,jyp,1,indexh) & |
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| 104 | + p4*ustar(ixp,jyp,1,indexh) |
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| 105 | wst1(m)=p1*wstar(ix ,jy ,1,indexh) & |
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| 106 | + p2*wstar(ixp,jy ,1,indexh) & |
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| 107 | + p3*wstar(ix ,jyp,1,indexh) & |
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| 108 | + p4*wstar(ixp,jyp,1,indexh) |
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| 109 | oli1(m)=p1*oli(ix ,jy ,1,indexh) & |
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| 110 | + p2*oli(ixp,jy ,1,indexh) & |
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| 111 | + p3*oli(ix ,jyp,1,indexh) & |
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| 112 | + p4*oli(ixp,jyp,1,indexh) |
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| 113 | end do |
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| 114 | |
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| 115 | ! b) Temporal interpolation |
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| 116 | |
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| 117 | ust=(ust1(1)*dt2+ust1(2)*dt1)*dtt |
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| 118 | wst=(wst1(1)*dt2+wst1(2)*dt1)*dtt |
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| 119 | oliaux=(oli1(1)*dt2+oli1(2)*dt1)*dtt |
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| 120 | |
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| 121 | if (oliaux.ne.0.) then |
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| 122 | ol=1./oliaux |
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| 123 | else |
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| 124 | ol=99999. |
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| 125 | endif |
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| 126 | |
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| 127 | |
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| 128 | !***************************************************** |
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| 129 | ! 2. Interpolate vertical profiles of u,v,w,rho,drhodz |
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| 130 | !***************************************************** |
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| 131 | |
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| 132 | |
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| 133 | ! Determine the level below the current position |
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| 134 | !*********************************************** |
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| 135 | |
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| 136 | do i=2,nz |
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| 137 | if (height(i).gt.zt) then |
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| 138 | indz=i-1 |
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| 139 | indzp=i |
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| 140 | goto 6 |
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| 141 | endif |
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| 142 | end do |
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| 143 | 6 continue |
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| 144 | |
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| 145 | !************************************** |
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| 146 | ! 1.) Bilinear horizontal interpolation |
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| 147 | ! 2.) Temporal interpolation (linear) |
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| 148 | !************************************** |
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| 149 | |
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| 150 | ! Loop over 2 time steps and indz levels |
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| 151 | !*************************************** |
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| 152 | |
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| 153 | do n=indz,indzp |
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| 154 | usl=0. |
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| 155 | vsl=0. |
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| 156 | wsl=0. |
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| 157 | usq=0. |
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| 158 | vsq=0. |
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| 159 | wsq=0. |
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| 160 | do m=1,2 |
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| 161 | indexh=memind(m) |
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| 162 | if (ngrid.lt.0) then |
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| 163 | y1(m)=p1*uupol(ix ,jy ,n,indexh) & |
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| 164 | +p2*uupol(ixp,jy ,n,indexh) & |
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| 165 | +p3*uupol(ix ,jyp,n,indexh) & |
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| 166 | +p4*uupol(ixp,jyp,n,indexh) |
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| 167 | y2(m)=p1*vvpol(ix ,jy ,n,indexh) & |
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| 168 | +p2*vvpol(ixp,jy ,n,indexh) & |
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| 169 | +p3*vvpol(ix ,jyp,n,indexh) & |
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| 170 | +p4*vvpol(ixp,jyp,n,indexh) |
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| 171 | usl=usl+uupol(ix ,jy ,n,indexh)+uupol(ixp,jy ,n,indexh) & |
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| 172 | +uupol(ix ,jyp,n,indexh)+uupol(ixp,jyp,n,indexh) |
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| 173 | vsl=vsl+vvpol(ix ,jy ,n,indexh)+vvpol(ixp,jy ,n,indexh) & |
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| 174 | +vvpol(ix ,jyp,n,indexh)+vvpol(ixp,jyp,n,indexh) |
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| 175 | |
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| 176 | usq=usq+uupol(ix ,jy ,n,indexh)*uupol(ix ,jy ,n,indexh)+ & |
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| 177 | uupol(ixp,jy ,n,indexh)*uupol(ixp,jy ,n,indexh)+ & |
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| 178 | uupol(ix ,jyp,n,indexh)*uupol(ix ,jyp,n,indexh)+ & |
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| 179 | uupol(ixp,jyp,n,indexh)*uupol(ixp,jyp,n,indexh) |
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| 180 | vsq=vsq+vvpol(ix ,jy ,n,indexh)*vvpol(ix ,jy ,n,indexh)+ & |
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| 181 | vvpol(ixp,jy ,n,indexh)*vvpol(ixp,jy ,n,indexh)+ & |
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| 182 | vvpol(ix ,jyp,n,indexh)*vvpol(ix ,jyp,n,indexh)+ & |
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| 183 | vvpol(ixp,jyp,n,indexh)*vvpol(ixp,jyp,n,indexh) |
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| 184 | else |
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| 185 | y1(m)=p1*uu(ix ,jy ,n,indexh) & |
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| 186 | +p2*uu(ixp,jy ,n,indexh) & |
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| 187 | +p3*uu(ix ,jyp,n,indexh) & |
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| 188 | +p4*uu(ixp,jyp,n,indexh) |
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| 189 | y2(m)=p1*vv(ix ,jy ,n,indexh) & |
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| 190 | +p2*vv(ixp,jy ,n,indexh) & |
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| 191 | +p3*vv(ix ,jyp,n,indexh) & |
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| 192 | +p4*vv(ixp,jyp,n,indexh) |
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| 193 | usl=usl+uu(ix ,jy ,n,indexh)+uu(ixp,jy ,n,indexh) & |
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| 194 | +uu(ix ,jyp,n,indexh)+uu(ixp,jyp,n,indexh) |
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| 195 | vsl=vsl+vv(ix ,jy ,n,indexh)+vv(ixp,jy ,n,indexh) & |
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| 196 | +vv(ix ,jyp,n,indexh)+vv(ixp,jyp,n,indexh) |
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| 197 | |
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| 198 | usq=usq+uu(ix ,jy ,n,indexh)*uu(ix ,jy ,n,indexh)+ & |
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| 199 | uu(ixp,jy ,n,indexh)*uu(ixp,jy ,n,indexh)+ & |
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| 200 | uu(ix ,jyp,n,indexh)*uu(ix ,jyp,n,indexh)+ & |
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| 201 | uu(ixp,jyp,n,indexh)*uu(ixp,jyp,n,indexh) |
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| 202 | vsq=vsq+vv(ix ,jy ,n,indexh)*vv(ix ,jy ,n,indexh)+ & |
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| 203 | vv(ixp,jy ,n,indexh)*vv(ixp,jy ,n,indexh)+ & |
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| 204 | vv(ix ,jyp,n,indexh)*vv(ix ,jyp,n,indexh)+ & |
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| 205 | vv(ixp,jyp,n,indexh)*vv(ixp,jyp,n,indexh) |
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| 206 | endif |
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| 207 | y3(m)=p1*ww(ix ,jy ,n,indexh) & |
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| 208 | +p2*ww(ixp,jy ,n,indexh) & |
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| 209 | +p3*ww(ix ,jyp,n,indexh) & |
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| 210 | +p4*ww(ixp,jyp,n,indexh) |
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| 211 | rhograd1(m)=p1*drhodz(ix ,jy ,n,indexh) & |
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| 212 | +p2*drhodz(ixp,jy ,n,indexh) & |
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| 213 | +p3*drhodz(ix ,jyp,n,indexh) & |
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| 214 | +p4*drhodz(ixp,jyp,n,indexh) |
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| 215 | rho1(m)=p1*rho(ix ,jy ,n,indexh) & |
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| 216 | +p2*rho(ixp,jy ,n,indexh) & |
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| 217 | +p3*rho(ix ,jyp,n,indexh) & |
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| 218 | +p4*rho(ixp,jyp,n,indexh) |
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| 219 | wsl=wsl+ww(ix ,jy ,n,indexh)+ww(ixp,jy ,n,indexh) & |
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| 220 | +ww(ix ,jyp,n,indexh)+ww(ixp,jyp,n,indexh) |
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| 221 | wsq=wsq+ww(ix ,jy ,n,indexh)*ww(ix ,jy ,n,indexh)+ & |
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| 222 | ww(ixp,jy ,n,indexh)*ww(ixp,jy ,n,indexh)+ & |
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| 223 | ww(ix ,jyp,n,indexh)*ww(ix ,jyp,n,indexh)+ & |
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| 224 | ww(ixp,jyp,n,indexh)*ww(ixp,jyp,n,indexh) |
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| 225 | end do |
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| 226 | uprof(n)=(y1(1)*dt2+y1(2)*dt1)*dtt |
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| 227 | vprof(n)=(y2(1)*dt2+y2(2)*dt1)*dtt |
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| 228 | wprof(n)=(y3(1)*dt2+y3(2)*dt1)*dtt |
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| 229 | rhoprof(n)=(rho1(1)*dt2+rho1(2)*dt1)*dtt |
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| 230 | rhogradprof(n)=(rhograd1(1)*dt2+rhograd1(2)*dt1)*dtt |
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| 231 | indzindicator(n)=.false. |
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| 232 | |
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| 233 | ! Compute standard deviations |
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| 234 | !**************************** |
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| 235 | |
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| 236 | xaux=usq-usl*usl/8. |
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| 237 | if (xaux.lt.eps) then |
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| 238 | usigprof(n)=0. |
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| 239 | else |
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| 240 | usigprof(n)=sqrt(xaux/7.) |
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| 241 | endif |
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| 242 | |
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| 243 | xaux=vsq-vsl*vsl/8. |
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| 244 | if (xaux.lt.eps) then |
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| 245 | vsigprof(n)=0. |
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| 246 | else |
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| 247 | vsigprof(n)=sqrt(xaux/7.) |
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| 248 | endif |
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| 249 | |
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| 250 | |
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| 251 | xaux=wsq-wsl*wsl/8. |
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| 252 | if (xaux.lt.eps) then |
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| 253 | wsigprof(n)=0. |
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| 254 | else |
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| 255 | wsigprof(n)=sqrt(xaux/7.) |
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| 256 | endif |
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| 257 | |
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| 258 | end do |
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| 259 | |
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| 260 | |
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| 261 | end subroutine interpol_all |
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