1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
|
!**********************************************************************
! Copyright 1998,1999,2000,2001,2002,2005,2007,2008,2009,2010 *
! Andreas Stohl, Petra Seibert, A. Frank, Gerhard Wotawa, *
! Caroline Forster, Sabine Eckhardt, John Burkhart, Harald Sodemann *
! *
! This file is part of FLEXPART. *
! *
! FLEXPART is free software: you can redistribute it and/or modify *
! it under the terms of the GNU General Public License as published by*
! the Free Software Foundation, either version 3 of the License, or *
! (at your option) any later version. *
! *
! FLEXPART is distributed in the hope that it will be useful, *
! but WITHOUT ANY WARRANTY; without even the implied warranty of *
! MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
! GNU General Public License for more details. *
! *
! You should have received a copy of the GNU General Public License *
! along with FLEXPART. If not, see <http://www.gnu.org/licenses/>. *
!**********************************************************************
subroutine interpol_misslev_nests(n)
! i
!*****************************************************************************
! *
! This subroutine interpolates u,v,w, density and density gradients. *
! *
! Author: A. Stohl *
! *
! 16 December 1997 *
! *
!*****************************************************************************
! *
! Variables: *
! n level *
! *
! Constants: *
! *
!*****************************************************************************
use par_mod
use com_mod
use interpol_mod
use hanna_mod
implicit none
! Auxiliary variables needed for interpolation
real :: y1(2),y2(2),y3(2),rho1(2),rhograd1(2)
real :: usl,vsl,wsl,usq,vsq,wsq,xaux
integer :: m,n,indexh
real,parameter :: eps=1.0e-30
!********************************************
! Multilinear interpolation in time and space
!********************************************
!**************************************
! 1.) Bilinear horizontal interpolation
! 2.) Temporal interpolation (linear)
!**************************************
! Loop over 2 time steps
!***********************
usl=0.
vsl=0.
wsl=0.
usq=0.
vsq=0.
wsq=0.
do m=1,2
indexh=memind(m)
y1(m)=p1*uun(ix ,jy ,n,indexh,ngrid) &
+p2*uun(ixp,jy ,n,indexh,ngrid) &
+p3*uun(ix ,jyp,n,indexh,ngrid) &
+p4*uun(ixp,jyp,n,indexh,ngrid)
y2(m)=p1*vvn(ix ,jy ,n,indexh,ngrid) &
+p2*vvn(ixp,jy ,n,indexh,ngrid) &
+p3*vvn(ix ,jyp,n,indexh,ngrid) &
+p4*vvn(ixp,jyp,n,indexh,ngrid)
y3(m)=p1*wwn(ix ,jy ,n,indexh,ngrid) &
+p2*wwn(ixp,jy ,n,indexh,ngrid) &
+p3*wwn(ix ,jyp,n,indexh,ngrid) &
+p4*wwn(ixp,jyp,n,indexh,ngrid)
rho1(m)=p1*rhon(ix ,jy ,n,indexh,ngrid) &
+p2*rhon(ixp,jy ,n,indexh,ngrid) &
+p3*rhon(ix ,jyp,n,indexh,ngrid) &
+p4*rhon(ixp,jyp,n,indexh,ngrid)
rhograd1(m)=p1*drhodzn(ix ,jy ,n,indexh,ngrid) &
+p2*drhodzn(ixp,jy ,n,indexh,ngrid) &
+p3*drhodzn(ix ,jyp,n,indexh,ngrid) &
+p4*drhodzn(ixp,jyp,n,indexh,ngrid)
usl=usl+uun(ix ,jy ,n,indexh,ngrid)+uun(ixp,jy ,n,indexh,ngrid) &
+uun(ix ,jyp,n,indexh,ngrid)+uun(ixp,jyp,n,indexh,ngrid)
vsl=vsl+vvn(ix ,jy ,n,indexh,ngrid)+vvn(ixp,jy ,n,indexh,ngrid) &
+vvn(ix ,jyp,n,indexh,ngrid)+vvn(ixp,jyp,n,indexh,ngrid)
wsl=wsl+wwn(ix ,jy ,n,indexh,ngrid)+wwn(ixp,jy ,n,indexh,ngrid) &
+wwn(ix ,jyp,n,indexh,ngrid)+wwn(ixp,jyp,n,indexh,ngrid)
usq=usq+uun(ix ,jy ,n,indexh,ngrid)*uun(ix ,jy ,n,indexh,ngrid)+ &
uun(ixp,jy ,n,indexh,ngrid)*uun(ixp,jy ,n,indexh,ngrid)+ &
uun(ix ,jyp,n,indexh,ngrid)*uun(ix ,jyp,n,indexh,ngrid)+ &
uun(ixp,jyp,n,indexh,ngrid)*uun(ixp,jyp,n,indexh,ngrid)
vsq=vsq+vvn(ix ,jy ,n,indexh,ngrid)*vvn(ix ,jy ,n,indexh,ngrid)+ &
vvn(ixp,jy ,n,indexh,ngrid)*vvn(ixp,jy ,n,indexh,ngrid)+ &
vvn(ix ,jyp,n,indexh,ngrid)*vvn(ix ,jyp,n,indexh,ngrid)+ &
vvn(ixp,jyp,n,indexh,ngrid)*vvn(ixp,jyp,n,indexh,ngrid)
wsq=wsq+wwn(ix ,jy ,n,indexh,ngrid)*wwn(ix ,jy ,n,indexh,ngrid)+ &
wwn(ixp,jy ,n,indexh,ngrid)*wwn(ixp,jy ,n,indexh,ngrid)+ &
wwn(ix ,jyp,n,indexh,ngrid)*wwn(ix ,jyp,n,indexh,ngrid)+ &
wwn(ixp,jyp,n,indexh,ngrid)*wwn(ixp,jyp,n,indexh,ngrid)
end do
uprof(n)=(y1(1)*dt2+y1(2)*dt1)*dtt
vprof(n)=(y2(1)*dt2+y2(2)*dt1)*dtt
wprof(n)=(y3(1)*dt2+y3(2)*dt1)*dtt
rhoprof(n)=(rho1(1)*dt2+rho1(2)*dt1)*dtt
rhogradprof(n)=(rhograd1(1)*dt2+rhograd1(2)*dt1)*dtt
indzindicator(n)=.false.
! Compute standard deviations
!****************************
xaux=usq-usl*usl/8.
if (xaux.lt.eps) then
usigprof(n)=0.
else
usigprof(n)=sqrt(xaux/7.)
endif
xaux=vsq-vsl*vsl/8.
if (xaux.lt.eps) then
vsigprof(n)=0.
else
vsigprof(n)=sqrt(xaux/7.)
endif
xaux=wsq-wsl*wsl/8.
if (xaux.lt.eps) then
wsigprof(n)=0.
else
wsigprof(n)=sqrt(xaux/7.)
endif
end subroutine interpol_misslev_nests
|
