| 1 | ! SPDX-FileCopyrightText: FLEXPART 1998-2019, see flexpart_license.txt |
|---|
| 2 | ! SPDX-License-Identifier: GPL-3.0-or-later |
|---|
| 3 | |
|---|
| 4 | subroutine interpol_all_nests(itime,xt,yt,zt) |
|---|
| 5 | ! i i i i |
|---|
| 6 | !***************************************************************************** |
|---|
| 7 | ! * |
|---|
| 8 | ! This subroutine interpolates everything that is needed for calculating the* |
|---|
| 9 | ! dispersion. * |
|---|
| 10 | ! Version for interpolating nested grids. * |
|---|
| 11 | ! * |
|---|
| 12 | ! Author: A. Stohl * |
|---|
| 13 | ! * |
|---|
| 14 | ! 9 February 1999 * |
|---|
| 15 | ! 16 December 1997 * |
|---|
| 16 | ! * |
|---|
| 17 | ! Revision March 2005 by AST : all output variables in common block cal- * |
|---|
| 18 | ! culation of standard deviation done in this * |
|---|
| 19 | ! routine rather than subroutine call in order * |
|---|
| 20 | ! to save computation time * |
|---|
| 21 | ! * |
|---|
| 22 | !***************************************************************************** |
|---|
| 23 | ! * |
|---|
| 24 | ! Variables: * |
|---|
| 25 | ! itime [s] current temporal position * |
|---|
| 26 | ! memtime(3) [s] times of the wind fields in memory * |
|---|
| 27 | ! xt,yt,zt coordinates position for which wind data shall be * |
|---|
| 28 | ! calculated * |
|---|
| 29 | ! * |
|---|
| 30 | ! Constants: * |
|---|
| 31 | ! * |
|---|
| 32 | !***************************************************************************** |
|---|
| 33 | |
|---|
| 34 | use par_mod |
|---|
| 35 | use com_mod |
|---|
| 36 | use interpol_mod |
|---|
| 37 | use hanna_mod |
|---|
| 38 | |
|---|
| 39 | implicit none |
|---|
| 40 | |
|---|
| 41 | integer :: itime |
|---|
| 42 | real :: xt,yt,zt |
|---|
| 43 | |
|---|
| 44 | ! Auxiliary variables needed for interpolation |
|---|
| 45 | real :: ust1(2),wst1(2),oli1(2),oliaux |
|---|
| 46 | real :: y1(2),y2(2),y3(2),rho1(2),rhograd1(2) |
|---|
| 47 | real :: usl,vsl,wsl,usq,vsq,wsq,xaux |
|---|
| 48 | integer :: i,m,n,indexh |
|---|
| 49 | real,parameter :: eps=1.0e-30 |
|---|
| 50 | |
|---|
| 51 | |
|---|
| 52 | !******************************************** |
|---|
| 53 | ! Multilinear interpolation in time and space |
|---|
| 54 | !******************************************** |
|---|
| 55 | |
|---|
| 56 | ! Determine the lower left corner and its distance to the current position |
|---|
| 57 | !************************************************************************* |
|---|
| 58 | |
|---|
| 59 | ddx=xt-real(ix) |
|---|
| 60 | ddy=yt-real(jy) |
|---|
| 61 | rddx=1.-ddx |
|---|
| 62 | rddy=1.-ddy |
|---|
| 63 | p1=rddx*rddy |
|---|
| 64 | p2=ddx*rddy |
|---|
| 65 | p3=rddx*ddy |
|---|
| 66 | p4=ddx*ddy |
|---|
| 67 | |
|---|
| 68 | ! Calculate variables for time interpolation |
|---|
| 69 | !******************************************* |
|---|
| 70 | |
|---|
| 71 | dt1=real(itime-memtime(1)) |
|---|
| 72 | dt2=real(memtime(2)-itime) |
|---|
| 73 | dtt=1./(dt1+dt2) |
|---|
| 74 | |
|---|
| 75 | |
|---|
| 76 | !***************************************** |
|---|
| 77 | ! 1. Interpolate u*, w* and Obukhov length |
|---|
| 78 | !***************************************** |
|---|
| 79 | |
|---|
| 80 | ! a) Bilinear horizontal interpolation |
|---|
| 81 | |
|---|
| 82 | do m=1,2 |
|---|
| 83 | indexh=memind(m) |
|---|
| 84 | |
|---|
| 85 | ust1(m)=p1*ustarn(ix ,jy ,1,indexh,ngrid) & |
|---|
| 86 | + p2*ustarn(ixp,jy ,1,indexh,ngrid) & |
|---|
| 87 | + p3*ustarn(ix ,jyp,1,indexh,ngrid) & |
|---|
| 88 | + p4*ustarn(ixp,jyp,1,indexh,ngrid) |
|---|
| 89 | wst1(m)=p1*wstarn(ix ,jy ,1,indexh,ngrid) & |
|---|
| 90 | + p2*wstarn(ixp,jy ,1,indexh,ngrid) & |
|---|
| 91 | + p3*wstarn(ix ,jyp,1,indexh,ngrid) & |
|---|
| 92 | + p4*wstarn(ixp,jyp,1,indexh,ngrid) |
|---|
| 93 | oli1(m)=p1*olin(ix ,jy ,1,indexh,ngrid) & |
|---|
| 94 | + p2*olin(ixp,jy ,1,indexh,ngrid) & |
|---|
| 95 | + p3*olin(ix ,jyp,1,indexh,ngrid) & |
|---|
| 96 | + p4*olin(ixp,jyp,1,indexh,ngrid) |
|---|
| 97 | end do |
|---|
| 98 | |
|---|
| 99 | ! b) Temporal interpolation |
|---|
| 100 | |
|---|
| 101 | ust=(ust1(1)*dt2+ust1(2)*dt1)*dtt |
|---|
| 102 | wst=(wst1(1)*dt2+wst1(2)*dt1)*dtt |
|---|
| 103 | oliaux=(oli1(1)*dt2+oli1(2)*dt1)*dtt |
|---|
| 104 | |
|---|
| 105 | if (oliaux.ne.0.) then |
|---|
| 106 | ol=1./oliaux |
|---|
| 107 | else |
|---|
| 108 | ol=99999. |
|---|
| 109 | endif |
|---|
| 110 | |
|---|
| 111 | |
|---|
| 112 | !***************************************************** |
|---|
| 113 | ! 2. Interpolate vertical profiles of u,v,w,rho,drhodz |
|---|
| 114 | !***************************************************** |
|---|
| 115 | |
|---|
| 116 | |
|---|
| 117 | ! Determine the level below the current position |
|---|
| 118 | !*********************************************** |
|---|
| 119 | |
|---|
| 120 | do i=2,nz |
|---|
| 121 | if (height(i).gt.zt) then |
|---|
| 122 | indz=i-1 |
|---|
| 123 | indzp=i |
|---|
| 124 | goto 6 |
|---|
| 125 | endif |
|---|
| 126 | end do |
|---|
| 127 | 6 continue |
|---|
| 128 | |
|---|
| 129 | !************************************** |
|---|
| 130 | ! 1.) Bilinear horizontal interpolation |
|---|
| 131 | ! 2.) Temporal interpolation (linear) |
|---|
| 132 | !************************************** |
|---|
| 133 | |
|---|
| 134 | ! Loop over 2 time steps and indz levels |
|---|
| 135 | !*************************************** |
|---|
| 136 | |
|---|
| 137 | do n=indz,indz+1 |
|---|
| 138 | usl=0. |
|---|
| 139 | vsl=0. |
|---|
| 140 | wsl=0. |
|---|
| 141 | usq=0. |
|---|
| 142 | vsq=0. |
|---|
| 143 | wsq=0. |
|---|
| 144 | do m=1,2 |
|---|
| 145 | indexh=memind(m) |
|---|
| 146 | y1(m)=p1*uun(ix ,jy ,n,indexh,ngrid) & |
|---|
| 147 | +p2*uun(ixp,jy ,n,indexh,ngrid) & |
|---|
| 148 | +p3*uun(ix ,jyp,n,indexh,ngrid) & |
|---|
| 149 | +p4*uun(ixp,jyp,n,indexh,ngrid) |
|---|
| 150 | y2(m)=p1*vvn(ix ,jy ,n,indexh,ngrid) & |
|---|
| 151 | +p2*vvn(ixp,jy ,n,indexh,ngrid) & |
|---|
| 152 | +p3*vvn(ix ,jyp,n,indexh,ngrid) & |
|---|
| 153 | +p4*vvn(ixp,jyp,n,indexh,ngrid) |
|---|
| 154 | y3(m)=p1*wwn(ix ,jy ,n,indexh,ngrid) & |
|---|
| 155 | +p2*wwn(ixp,jy ,n,indexh,ngrid) & |
|---|
| 156 | +p3*wwn(ix ,jyp,n,indexh,ngrid) & |
|---|
| 157 | +p4*wwn(ixp,jyp,n,indexh,ngrid) |
|---|
| 158 | rhograd1(m)=p1*drhodzn(ix ,jy ,n,indexh,ngrid) & |
|---|
| 159 | +p2*drhodzn(ixp,jy ,n,indexh,ngrid) & |
|---|
| 160 | +p3*drhodzn(ix ,jyp,n,indexh,ngrid) & |
|---|
| 161 | +p4*drhodzn(ixp,jyp,n,indexh,ngrid) |
|---|
| 162 | rho1(m)=p1*rhon(ix ,jy ,n,indexh,ngrid) & |
|---|
| 163 | +p2*rhon(ixp,jy ,n,indexh,ngrid) & |
|---|
| 164 | +p3*rhon(ix ,jyp,n,indexh,ngrid) & |
|---|
| 165 | +p4*rhon(ixp,jyp,n,indexh,ngrid) |
|---|
| 166 | |
|---|
| 167 | usl=usl+uun(ix ,jy ,n,indexh,ngrid)+uun(ixp,jy ,n,indexh,ngrid) & |
|---|
| 168 | +uun(ix ,jyp,n,indexh,ngrid)+uun(ixp,jyp,n,indexh,ngrid) |
|---|
| 169 | vsl=vsl+vvn(ix ,jy ,n,indexh,ngrid)+vvn(ixp,jy ,n,indexh,ngrid) & |
|---|
| 170 | +vvn(ix ,jyp,n,indexh,ngrid)+vvn(ixp,jyp,n,indexh,ngrid) |
|---|
| 171 | wsl=wsl+wwn(ix ,jy ,n,indexh,ngrid)+wwn(ixp,jy ,n,indexh,ngrid) & |
|---|
| 172 | +wwn(ix ,jyp,n,indexh,ngrid)+wwn(ixp,jyp,n,indexh,ngrid) |
|---|
| 173 | |
|---|
| 174 | usq=usq+uun(ix ,jy ,n,indexh,ngrid)*uun(ix ,jy ,n,indexh,ngrid)+ & |
|---|
| 175 | uun(ixp,jy ,n,indexh,ngrid)*uun(ixp,jy ,n,indexh,ngrid)+ & |
|---|
| 176 | uun(ix ,jyp,n,indexh,ngrid)*uun(ix ,jyp,n,indexh,ngrid)+ & |
|---|
| 177 | uun(ixp,jyp,n,indexh,ngrid)*uun(ixp,jyp,n,indexh,ngrid) |
|---|
| 178 | vsq=vsq+vvn(ix ,jy ,n,indexh,ngrid)*vvn(ix ,jy ,n,indexh,ngrid)+ & |
|---|
| 179 | vvn(ixp,jy ,n,indexh,ngrid)*vvn(ixp,jy ,n,indexh,ngrid)+ & |
|---|
| 180 | vvn(ix ,jyp,n,indexh,ngrid)*vvn(ix ,jyp,n,indexh,ngrid)+ & |
|---|
| 181 | vvn(ixp,jyp,n,indexh,ngrid)*vvn(ixp,jyp,n,indexh,ngrid) |
|---|
| 182 | wsq=wsq+wwn(ix ,jy ,n,indexh,ngrid)*wwn(ix ,jy ,n,indexh,ngrid)+ & |
|---|
| 183 | wwn(ixp,jy ,n,indexh,ngrid)*wwn(ixp,jy ,n,indexh,ngrid)+ & |
|---|
| 184 | wwn(ix ,jyp,n,indexh,ngrid)*wwn(ix ,jyp,n,indexh,ngrid)+ & |
|---|
| 185 | wwn(ixp,jyp,n,indexh,ngrid)*wwn(ixp,jyp,n,indexh,ngrid) |
|---|
| 186 | end do |
|---|
| 187 | uprof(n)=(y1(1)*dt2+y1(2)*dt1)*dtt |
|---|
| 188 | vprof(n)=(y2(1)*dt2+y2(2)*dt1)*dtt |
|---|
| 189 | wprof(n)=(y3(1)*dt2+y3(2)*dt1)*dtt |
|---|
| 190 | rhoprof(n)=(rho1(1)*dt2+rho1(2)*dt1)*dtt |
|---|
| 191 | rhogradprof(n)=(rhograd1(1)*dt2+rhograd1(2)*dt1)*dtt |
|---|
| 192 | indzindicator(n)=.false. |
|---|
| 193 | |
|---|
| 194 | ! Compute standard deviations |
|---|
| 195 | !**************************** |
|---|
| 196 | |
|---|
| 197 | xaux=usq-usl*usl/8. |
|---|
| 198 | if (xaux.lt.eps) then |
|---|
| 199 | usigprof(n)=0. |
|---|
| 200 | else |
|---|
| 201 | usigprof(n)=sqrt(xaux/7.) |
|---|
| 202 | endif |
|---|
| 203 | |
|---|
| 204 | xaux=vsq-vsl*vsl/8. |
|---|
| 205 | if (xaux.lt.eps) then |
|---|
| 206 | vsigprof(n)=0. |
|---|
| 207 | else |
|---|
| 208 | vsigprof(n)=sqrt(xaux/7.) |
|---|
| 209 | endif |
|---|
| 210 | |
|---|
| 211 | |
|---|
| 212 | xaux=wsq-wsl*wsl/8. |
|---|
| 213 | if (xaux.lt.eps) then |
|---|
| 214 | wsigprof(n)=0. |
|---|
| 215 | else |
|---|
| 216 | wsigprof(n)=sqrt(xaux/7.) |
|---|
| 217 | endif |
|---|
| 218 | |
|---|
| 219 | end do |
|---|
| 220 | |
|---|
| 221 | end subroutine interpol_all_nests |
|---|
