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