[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 | subroutine interpol_all_nests(itime,xt,yt,zt, & |
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| 24 | uprof,vprof,wprof, usigprof,vsigprof,wsigprof, & |
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| 25 | rhoprof,rhogradprof, tkeprof,pttprof, & |
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| 26 | u,v,w,usig,vsig,wsig,pvi, & |
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| 27 | p1,p2,p3,p4,ddx,ddy,rddx,rddy,dtt,dt1,dt2, & |
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| 28 | ix,jy,ixp,jyp,ngrid,indz,indzp, depoindicator, & |
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| 29 | indzindicator, & |
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| 30 | ust,wst,ol,h,zeta,sigu,sigv,tlu,tlv,tlw, & |
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| 31 | sigw,dsigwdz,dsigw2dz,mu,mv) |
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| 32 | |
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| 33 | ! i i i i |
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| 34 | !******************************************************************************* |
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| 35 | ! * |
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| 36 | ! This subroutine interpolates everything that is needed for calculating the * |
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| 37 | ! dispersion. * |
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| 38 | ! Version for interpolating nested grids. * |
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| 39 | ! * |
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| 40 | ! Author: A. Stohl * |
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| 41 | ! * |
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| 42 | ! 9 February 1999 * |
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| 43 | ! 16 December 1997 * |
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| 44 | ! * |
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| 45 | ! Revision March 2005 by AST : all output variables in common block * |
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| 46 | ! calculation of standard deviation done in this * |
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| 47 | ! routine rather than subroutine call in order * |
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| 48 | ! to save computation time * |
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| 49 | ! * |
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| 50 | !******************************************************************************* |
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| 51 | ! * |
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| 52 | ! Variables: * |
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| 53 | ! itime [s] current temporal position * |
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| 54 | ! memtime(3) [s] times of the wind fields in memory * |
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| 55 | ! xt,yt,zt coordinates position for which wind data shall be calculat* |
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| 56 | ! * |
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| 57 | ! Constants: * |
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| 58 | ! * |
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| 59 | !******************************************************************************* |
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| 60 | ! 12 JUNE 2007 compute tkeprof, add a variable y4(2) |
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| 61 | ! 25 June 2007 compute pttprof, y5 |
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| 62 | ! compute tkeprof for all levels |
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| 63 | !******************************************************************************* |
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| 64 | use par_mod |
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| 65 | use com_mod |
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| 66 | ! use interpol_mod |
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| 67 | ! use hanna_mod |
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| 68 | |
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| 69 | implicit none |
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| 70 | |
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| 71 | integer :: itime |
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| 72 | real :: xt,yt,zt |
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| 73 | |
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| 74 | ! Auxiliary variables needed for interpolation |
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| 75 | real :: ust1(2),wst1(2),oli1(2),oliaux |
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| 76 | real :: y1(2),y2(2),y3(2),rho1(2),rhograd1(2),y4(2),y5(2) |
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| 77 | real :: usl,vsl,wsl,usq,vsq,wsq,xaux |
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| 78 | integer :: i,m,n,indexh |
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| 79 | real,parameter :: eps=1.0e-30 |
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| 80 | real :: uprof(nzmax),vprof(nzmax),wprof(nzmax) |
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| 81 | real :: usigprof(nzmax),vsigprof(nzmax),wsigprof(nzmax) |
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| 82 | real :: rhoprof(nzmax),rhogradprof(nzmax) |
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| 83 | real :: tkeprof(nzmax),pttprof(nzmax) |
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| 84 | real :: u,v,w,usig,vsig,wsig,pvi,mu,mv |
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| 85 | |
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| 86 | real :: p1,p2,p3,p4,ddx,ddy,rddx,rddy,dtt,dt1,dt2 |
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| 87 | integer :: ix,jy,ixp,jyp,ngrid,indz,indzp |
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| 88 | logical :: depoindicator(maxspec) |
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| 89 | logical :: indzindicator(nzmax) |
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| 90 | real :: ust,wst,ol,h,zeta,sigu,sigv,tlu,tlv,tlw |
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| 91 | real :: sigw,dsigwdz,dsigw2dz |
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| 92 | |
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| 93 | |
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| 94 | !******************************************** |
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| 95 | ! Multilinear interpolation in time and space |
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| 96 | !******************************************** |
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| 97 | |
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| 98 | ! Determine the lower left corner and its distance to the current position |
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| 99 | !************************************************************************* |
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| 100 | |
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| 101 | ddx=xt-real(ix) |
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| 102 | ddy=yt-real(jy) |
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| 103 | rddx=1.-ddx |
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| 104 | rddy=1.-ddy |
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| 105 | p1=rddx*rddy |
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| 106 | p2=ddx*rddy |
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| 107 | p3=rddx*ddy |
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| 108 | p4=ddx*ddy |
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| 109 | |
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| 110 | ! Calculate variables for time interpolation |
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| 111 | !******************************************* |
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| 112 | |
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| 113 | dt1=real(itime-memtime(1)) |
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| 114 | dt2=real(memtime(2)-itime) |
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| 115 | dtt=1./(dt1+dt2) |
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| 116 | |
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| 117 | |
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| 118 | !***************************************** |
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| 119 | ! 1. Interpolate u*, w* and Obukhov length |
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| 120 | !***************************************** |
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| 121 | |
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| 122 | ! a) Bilinear horizontal interpolation |
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| 123 | do m=1,2 |
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| 124 | indexh=memind(m) |
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| 125 | |
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| 126 | ust1(m)=p1*ustarn(ix ,jy ,1,indexh,ngrid) & |
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| 127 | + p2*ustarn(ixp,jy ,1,indexh,ngrid) & |
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| 128 | + p3*ustarn(ix ,jyp,1,indexh,ngrid) & |
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| 129 | + p4*ustarn(ixp,jyp,1,indexh,ngrid) |
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| 130 | wst1(m)=p1*wstarn(ix ,jy ,1,indexh,ngrid) & |
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| 131 | + p2*wstarn(ixp,jy ,1,indexh,ngrid) & |
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| 132 | + p3*wstarn(ix ,jyp,1,indexh,ngrid) & |
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| 133 | + p4*wstarn(ixp,jyp,1,indexh,ngrid) |
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| 134 | oli1(m)=p1*olin(ix ,jy ,1,indexh,ngrid) & |
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| 135 | + p2*olin(ixp,jy ,1,indexh,ngrid) & |
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| 136 | + p3*olin(ix ,jyp,1,indexh,ngrid) & |
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| 137 | + p4*olin(ixp,jyp,1,indexh,ngrid) |
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| 138 | end do |
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| 139 | mu =p1*m_xn(ix ,jy ,1,ngrid) & |
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| 140 | + p2*m_xn(ixp,jy ,1,ngrid) & |
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| 141 | + p3*m_xn(ix ,jyp,1,ngrid) & |
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| 142 | + p4*m_xn(ixp,jyp,1,ngrid) |
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| 143 | mv =p1*m_yn(ix ,jy ,1,ngrid) & |
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| 144 | + p2*m_yn(ixp,jy ,1,ngrid) & |
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| 145 | + p3*m_yn(ix ,jyp,1,ngrid) & |
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| 146 | + p4*m_yn(ixp,jyp,1,ngrid) |
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| 147 | |
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| 148 | |
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| 149 | ! b) Temporal interpolation |
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| 150 | |
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| 151 | ust=(ust1(1)*dt2+ust1(2)*dt1)*dtt |
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| 152 | wst=(wst1(1)*dt2+wst1(2)*dt1)*dtt |
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| 153 | oliaux=(oli1(1)*dt2+oli1(2)*dt1)*dtt |
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| 154 | |
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| 155 | if (oliaux.ne.0.) then |
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| 156 | ol=1./oliaux |
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| 157 | else |
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| 158 | ol=99999. |
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| 159 | endif |
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| 160 | |
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| 161 | |
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| 162 | !***************************************************** |
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| 163 | ! 2. Interpolate vertical profiles of u,v,w,rho,drhodz |
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| 164 | !***************************************************** |
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| 165 | |
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| 166 | |
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| 167 | ! Determine the level below the current position |
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| 168 | !*********************************************** |
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| 169 | |
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| 170 | do i=2,nz |
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| 171 | if (height(i).gt.zt) then |
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| 172 | indz=i-1 |
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| 173 | indzp=i |
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| 174 | goto 6 |
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| 175 | endif |
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| 176 | end do |
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| 177 | 6 continue |
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| 178 | |
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| 179 | !************************************** |
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| 180 | ! 1.) Bilinear horizontal interpolation |
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| 181 | ! 2.) Temporal interpolation (linear) |
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| 182 | !************************************** |
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| 183 | |
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| 184 | ! Loop over 2 time steps and indz levels |
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| 185 | !*************************************** |
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| 186 | |
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| 187 | do n=indz,indz+1 |
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| 188 | usl=0. |
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| 189 | vsl=0. |
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| 190 | wsl=0. |
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| 191 | usq=0. |
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| 192 | vsq=0. |
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| 193 | wsq=0. |
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| 194 | do m=1,2 |
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| 195 | indexh=memind(m) |
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| 196 | y1(m)=p1*uun(ix ,jy ,n,indexh,ngrid) & |
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| 197 | +p2*uun(ixp,jy ,n,indexh,ngrid) & |
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| 198 | +p3*uun(ix ,jyp,n,indexh,ngrid) & |
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| 199 | +p4*uun(ixp,jyp,n,indexh,ngrid) |
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| 200 | y2(m)=p1*vvn(ix ,jy ,n,indexh,ngrid) & |
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| 201 | +p2*vvn(ixp,jy ,n,indexh,ngrid) & |
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| 202 | +p3*vvn(ix ,jyp,n,indexh,ngrid) & |
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| 203 | +p4*vvn(ixp,jyp,n,indexh,ngrid) |
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| 204 | y3(m)=p1*wwn(ix ,jy ,n,indexh,ngrid) & |
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| 205 | +p2*wwn(ixp,jy ,n,indexh,ngrid) & |
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| 206 | +p3*wwn(ix ,jyp,n,indexh,ngrid) & |
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| 207 | +p4*wwn(ixp,jyp,n,indexh,ngrid) |
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| 208 | rhograd1(m)=p1*drhodzn(ix ,jy ,n,indexh,ngrid) & |
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| 209 | +p2*drhodzn(ixp,jy ,n,indexh,ngrid) & |
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| 210 | +p3*drhodzn(ix ,jyp,n,indexh,ngrid) & |
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| 211 | +p4*drhodzn(ixp,jyp,n,indexh,ngrid) |
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| 212 | rho1(m)=p1*rhon(ix ,jy ,n,indexh,ngrid) & |
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| 213 | +p2*rhon(ixp,jy ,n,indexh,ngrid) & |
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| 214 | +p3*rhon(ix ,jyp,n,indexh,ngrid) & |
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| 215 | +p4*rhon(ixp,jyp,n,indexh,ngrid) |
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| 216 | |
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| 217 | |
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| 218 | usl=usl+uun(ix ,jy ,n,indexh,ngrid)+uun(ixp,jy ,n,indexh,ngrid) & |
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| 219 | +uun(ix ,jyp,n,indexh,ngrid)+uun(ixp,jyp,n,indexh,ngrid) |
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| 220 | vsl=vsl+vvn(ix ,jy ,n,indexh,ngrid)+vvn(ixp,jy ,n,indexh,ngrid) & |
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| 221 | +vvn(ix ,jyp,n,indexh,ngrid)+vvn(ixp,jyp,n,indexh,ngrid) |
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| 222 | wsl=wsl+wwn(ix ,jy ,n,indexh,ngrid)+wwn(ixp,jy ,n,indexh,ngrid) & |
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| 223 | +wwn(ix ,jyp,n,indexh,ngrid)+wwn(ixp,jyp,n,indexh,ngrid) |
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| 224 | |
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| 225 | usq=usq+uun(ix ,jy ,n,indexh,ngrid)*uun(ix ,jy ,n,indexh,ngrid)+ & |
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| 226 | uun(ixp,jy ,n,indexh,ngrid)*uun(ixp,jy ,n,indexh,ngrid)+ & |
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| 227 | uun(ix ,jyp,n,indexh,ngrid)*uun(ix ,jyp,n,indexh,ngrid)+ & |
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| 228 | uun(ixp,jyp,n,indexh,ngrid)*uun(ixp,jyp,n,indexh,ngrid) |
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| 229 | vsq=vsq+vvn(ix ,jy ,n,indexh,ngrid)*vvn(ix ,jy ,n,indexh,ngrid)+ & |
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| 230 | vvn(ixp,jy ,n,indexh,ngrid)*vvn(ixp,jy ,n,indexh,ngrid)+ & |
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| 231 | vvn(ix ,jyp,n,indexh,ngrid)*vvn(ix ,jyp,n,indexh,ngrid)+ & |
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| 232 | vvn(ixp,jyp,n,indexh,ngrid)*vvn(ixp,jyp,n,indexh,ngrid) |
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| 233 | wsq=wsq+wwn(ix ,jy ,n,indexh,ngrid)*wwn(ix ,jy ,n,indexh,ngrid)+ & |
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| 234 | wwn(ixp,jy ,n,indexh,ngrid)*wwn(ixp,jy ,n,indexh,ngrid)+ & |
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| 235 | wwn(ix ,jyp,n,indexh,ngrid)*wwn(ix ,jyp,n,indexh,ngrid)+ & |
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| 236 | wwn(ixp,jyp,n,indexh,ngrid)*wwn(ixp,jyp,n,indexh,ngrid) |
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| 237 | end do |
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| 238 | uprof(n)=(y1(1)*dt2+y1(2)*dt1)*dtt |
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| 239 | vprof(n)=(y2(1)*dt2+y2(2)*dt1)*dtt |
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| 240 | wprof(n)=(y3(1)*dt2+y3(2)*dt1)*dtt |
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| 241 | rhoprof(n)=(rho1(1)*dt2+rho1(2)*dt1)*dtt |
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| 242 | rhogradprof(n)=(rhograd1(1)*dt2+rhograd1(2)*dt1)*dtt |
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| 243 | indzindicator(n)=.false. |
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| 244 | |
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| 245 | ! Compute standard deviations |
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| 246 | !**************************** |
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| 247 | |
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| 248 | xaux=usq-usl*usl/8. |
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| 249 | if (xaux.lt.eps) then |
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| 250 | usigprof(n)=0. |
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| 251 | else |
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| 252 | usigprof(n)=sqrt(xaux/7.) |
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| 253 | endif |
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| 254 | |
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| 255 | xaux=vsq-vsl*vsl/8. |
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| 256 | if (xaux.lt.eps) then |
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| 257 | vsigprof(n)=0. |
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| 258 | else |
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| 259 | vsigprof(n)=sqrt(xaux/7.) |
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| 260 | endif |
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| 261 | |
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| 262 | |
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| 263 | xaux=wsq-wsl*wsl/8. |
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| 264 | if (xaux.lt.eps) then |
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| 265 | wsigprof(n)=0. |
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| 266 | else |
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| 267 | wsigprof(n)=sqrt(xaux/7.) |
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| 268 | endif |
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| 269 | |
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| 270 | end do |
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| 271 | |
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| 272 | ! compute tke profile for all levels |
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| 273 | |
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| 274 | do n=1,nz |
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| 275 | do m=1,2 |
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| 276 | indexh=memind(m) |
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| 277 | y4(m)=p1*tken(ix ,jy ,n,indexh,ngrid) & |
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| 278 | +p2*tken(ixp,jy ,n,indexh,ngrid) & |
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| 279 | +p3*tken(ix ,jyp,n,indexh,ngrid) & |
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| 280 | +p4*tken(ixp,jyp,n,indexh,ngrid) |
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| 281 | y5(m)=p1*pttn(ix ,jy ,n,indexh,ngrid) & |
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| 282 | +p2*pttn(ixp,jy ,n,indexh,ngrid) & |
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| 283 | +p3*pttn(ix ,jyp,n,indexh,ngrid) & |
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| 284 | +p4*pttn(ixp,jyp,n,indexh,ngrid) |
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| 285 | |
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| 286 | enddo |
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| 287 | tkeprof(n)=(y4(1)*dt2+y4(2)*dt1)*dtt |
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| 288 | pttprof(n)=(y5(1)*dt2+y5(2)*dt1)*dtt |
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| 289 | enddo |
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| 290 | |
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| 291 | |
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| 292 | end subroutine interpol_all_nests |
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| 293 | |
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