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All
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d.
1.
Int
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o
d
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Ma
l
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m
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c
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un
tr
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es
[1]
.
B
u
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di
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-
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nt
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r
at
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r
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w
a
bl
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nto
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s
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l
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tr
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.
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s
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tr
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a
l
as
th
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m
ea
n
w
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n
d
s
pe
e
d
of
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o
of
de
pe
n
ds
on
th
e
top
ol
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y
of
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urr
ou
n
di
ng
s
an
d
al
s
o
th
e
s
ha
p
e
of
th
e roof
of
th
e b
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ng
.
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uc
ti
n
g
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pe
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m
en
tal
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s
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t
o
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y
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s
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b
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a
l
s
o
ti
m
e
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on
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um
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ng
.
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he
r
ef
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to
be
tte
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de
r
s
tan
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t
he
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w
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l
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,
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om
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tat
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f
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d
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am
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s
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as
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m
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es
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th
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a
s
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f
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ars
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n
m
an
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nu
m
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l
s
tud
i
es
c
o
nd
uc
ted
on
f
l
o
w
s
ov
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b
ui
l
di
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s
.
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al
.
i
n
v
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ga
ted
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f
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w
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p
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tc
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d
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oo
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n
i
s
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r
r
a
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te
a
t
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p
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r
es
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de
nti
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are
a
[2]
.
I
n
an
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CF
D
s
tud
y
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Le
do
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.
s
i
m
ul
ate
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arr
a
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of
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ui
l
di
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wi
th
thr
ee
d
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f
f
erent
ba
s
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c
r
o
of
s
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pe
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f
l
at
r
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,
pi
tc
he
d
r
o
of
an
d
p
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r
am
i
da
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r
oo
f
)
.
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he
y
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ou
nd
th
at
t
he
c
orner
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an
d
ed
g
es
of
th
e
r
o
of
are
s
ui
tab
l
e
f
or
tu
r
bi
ne
i
ns
ta
l
l
ati
on
[3
]
.
H
o
w
e
v
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at
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ed
g
e
s
,
the
f
l
o
w
s
i
s
s
k
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d
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t
o
th
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u
p
w
ard
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c
a
l
f
l
ow
of
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w
a
l
l
s
of
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ui
l
di
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.
Me
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ten
s
ar
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th
at
al
tho
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h
s
k
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d
f
l
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w
i
s
be
ne
f
i
c
i
a
l
f
or
v
erti
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l
ax
i
s
wi
n
d
turbi
ne
s
,
hi
gh
turb
ul
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nc
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an
d
s
ep
a
r
ati
on
b
ub
b
l
e
o
n
the
r
oo
f
da
m
ag
es
w
i
n
d
turbi
n
e
an
d
c
au
s
es
f
ati
gu
e
,
r
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ul
t
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g
i
n
po
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es
[4]
.
T
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ef
f
ec
ts
of
di
f
f
ere
nt
r
oo
f
s
ha
pe
s
an
d
w
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nd
di
r
ec
t
i
on
s
on
th
e
f
l
ow
of
i
nc
om
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ng
w
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nd
ha
v
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s
o
b
ee
n
i
nv
es
ti
g
ate
d
b
y
A
bo
he
l
a
et.
al
.
[5]
.
It i
s
i
m
po
r
tan
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to
no
t
e t
h
at
m
an
y
of
th
es
e s
tud
i
es
[
2],
[
3],
[5
]
–
[7
]
ha
v
e s
i
m
ul
ate
d
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d
ea
l
i
s
ed
r
oo
f
s
ha
pe
s
or
a
f
l
at
r
oo
f
whi
c
h
m
i
gh
t
no
t
be
r
ep
r
es
en
tat
i
v
e
of
the
top
ol
og
y
at
the
top
of
an
ac
tua
l
bu
i
l
d
i
ng
.
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he
top
o
l
o
g
y
of
the
r
oo
f
i
s
of
ten
s
i
m
p
l
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f
i
ed
as
i
t
i
s
c
om
pu
tat
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on
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l
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ex
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v
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to
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th
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us
s
m
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s
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r
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on
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of
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ui
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m
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Evaluation Warning : The document was created with Spire.PDF for Python.
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th
e a
c
tua
l
arc
hi
t
ec
tural
dra
wi
ng
s
of
th
e
bu
i
l
d
i
ng
.
T
he
x
-
ax
i
s
r
ep
r
es
en
t t
he
s
tr
ea
m
w
i
s
e
di
r
ec
ti
o
n o
f
th
e f
l
o
w,
y
-
ax
i
s
de
no
te
s
th
e s
pa
n
w
i
s
e
di
r
ec
ti
on
an
d
the
z
-
ax
i
s
de
n
ote
s
th
e
w
a
l
l
-
n
or
m
al
di
r
ec
ti
on
.
F
i
gu
r
e
1:
C
om
pu
tat
i
o
na
l
m
es
h o
f
th
e
B
A
bu
i
l
di
n
g
wi
th
0
°
wi
nd
an
g
l
e.
T
he
c
en
tr
e
o
f
th
e b
u
i
l
d
i
n
g
i
s
l
oc
at
ed
30
0m
f
r
o
m
th
e i
nl
et.
T
he
i
ns
e
t (a)
s
ho
w
s
t
he
di
m
en
s
i
on
s
of
th
e
B
A
bu
i
l
di
ng
i
n m
ete
r
s
an
d (b)
t
he
m
es
h o
n t
he
s
u
r
f
ac
e o
f
th
e B
A
bu
i
l
di
n
g.
T
he
v
erti
c
al
r
ed
l
i
ne
d
en
ote
s
t
he
c
en
tr
e
of
the
b
ui
l
d
i
ng
/
do
m
ai
n (
x
=
0
m
,
y
=
0
m
).
T
he
no
-
s
l
i
p
,
i
m
pe
r
m
ea
bl
e
wal
l
c
on
di
t
i
o
n
i
s
ap
pl
i
ed
to
the
bo
t
tom
bo
un
d
ar
y
an
d
al
s
o
t
o
the
wal
l
s
of
the
B
A
bu
i
l
di
n
g.
F
or
th
e
to
p
a
nd
s
i
de
b
o
un
da
r
i
es
,
a
m
i
r
r
or
bo
un
da
r
y
c
on
di
t
i
on
i
s
x
z
y
Inl
e
t
O
utl
et
Side boundary
L
x
=
80
0
m
L
y
=
60
0
m
T
op
bo
un
da
r
y
F
r
ee
s
tr
ea
m
di
r
ec
ti
on
(
a)
(
b)
L
z
=
10
0
m
Evaluation Warning : The document was created with Spire.PDF for Python.
IS
S
N:
25
02
-
4
75
2
IJE
E
CS
V
ol
.
8
,
N
o.
3
,
Dec
em
be
r
2017
:
7
5
6
–
7
6
1
758
ap
p
l
i
e
d.
T
he
m
od
i
f
i
ed
l
og
arit
hm
i
c
v
e
l
oc
i
t
y
prof
i
l
e
i
s
us
e
d
as
t
he
bo
un
d
ar
y
c
on
d
i
t
i
o
n
f
or
the
i
nl
et.
T
hi
s
l
og
arit
hm
i
c
prof
i
l
e
i
s
m
od
i
f
i
e
d
to
i
nc
l
ud
e
the
ef
f
ec
t
s
of
r
ou
gh
ne
s
s
c
au
s
ed
b
y
v
eg
et
ati
on
an
d
bu
i
l
d
i
ng
s
a
nd
f
ol
l
o
w
s
t
he
e
qu
at
i
on
be
l
o
w
U
x
(
z
)
=
U
τ
/κ
l
n ((
z
-
d
)/
z
0
)
(
1)
where
U
x
i
s
th
e
f
r
ee
s
tr
ea
m
v
e
l
oc
i
t
y
,
U
τ
i
s
th
e
f
r
i
c
ti
o
n
v
e
l
oc
i
t
y
,
κ
=
0.
4
i
s
th
e
V
on
K
árm
án
c
on
s
tan
t,
d
i
s
the
z
ero
-
p
l
a
ne
d
i
s
pl
ac
em
en
t
he
i
gh
t
an
d
z
0
i
s
the
m
o
m
en
tum
r
ou
gh
n
es
s
l
en
gth
.
T
he
z
ero
-
pl
ac
e
d
i
s
pl
ac
em
en
t
he
i
gh
t
d
=
0
.7
k
an
d
t
he
m
o
m
en
tum
r
ou
gh
ne
s
s
l
e
ng
th
z
0
=
0.
1
k
w
he
r
e
k
=5
m
i
s
the
m
ea
n
bu
i
l
di
n
g/
v
eg
et
ati
o
n
he
i
gh
t
of
the
s
urr
ou
n
di
n
gs
.
T
hi
s
l
og
arit
hm
i
c
prof
i
l
e
ha
s
be
e
n
us
ed
pre
v
i
ou
s
l
y
b
y
[1,
2]
.
T
he
v
a
l
ue
of
U
τ
i
s
s
el
ec
t
ed
b
y
f
i
x
i
n
g
U
x
(
z
=
2
3
m
)
=
2
m/
s
.
T
he
v
e
l
oc
i
t
y
i
s
s
el
ec
te
d
b
as
ed
o
n
ac
tu
al
wi
n
d
da
ta
c
o
l
l
ec
t
ed
whi
c
h
av
era
ge
d
arou
nd
2
m/s
.
T
he
z
ero
gra
di
e
n
t
bo
un
da
r
y
c
on
d
i
t
i
on
i
s
ap
pl
i
ed
to
th
e
ou
t
l
et
of
th
e
do
m
ai
n.
A
l
arg
e
c
om
pu
tat
i
on
al
do
m
ai
n
i
s
us
ed
to
en
s
ure
th
at
the
f
l
o
w
i
s
no
t
r
es
tr
i
c
te
d
b
y
th
e
c
o
m
pu
tat
i
on
a
l
bo
un
d
arie
s
.
T
he
m
es
h
i
s
s
tr
etc
he
d
i
n
th
e
wal
l
-
no
r
m
al
di
r
ec
ti
o
n
w
i
t
h
an
ex
pa
ns
i
on
r
ati
o
of
1.1
9
an
d
i
s
e
qu
a
l
l
y
s
pa
c
ed
i
n
the
s
tr
e
am
w
i
s
e
an
d
t
he
s
pa
n
w
i
s
e
di
r
ec
t
i
on
.
T
he
m
es
h
i
n
the
v
i
c
i
ni
t
y
of
the
B
A
b
ui
l
d
i
n
g
i
s
l
oc
a
l
l
y
r
ef
i
ne
d
to
e
ns
ur
e
tha
t
al
l
of
the
to
po
l
og
i
c
al
f
ea
tures
of
the
bu
i
l
d
i
ng
(
p
arti
c
u
l
arl
y
th
e
r
o
of
)
i
s
ac
c
uratel
y
c
a
ptu
r
ed
(
s
ee
i
ns
et
of
f
i
gu
r
e
1).
T
o
s
i
m
ul
ate
the
f
l
o
w
ov
er
th
e
B
A
bu
i
l
di
ng
at
di
f
f
erent
an
g
l
es
,
the
ge
o
m
etry
of
the
bu
i
l
d
i
n
g
i
s
r
ota
te
d
an
d
th
e
c
o
m
pu
tat
i
on
a
l
do
m
ai
n
i
s
r
e
m
e
s
he
d
to
e
ns
ure
t
ha
t
th
e
s
tr
ea
m
w
i
s
e
d
i
r
ec
ti
on
of
the
f
l
o
w
i
s
a
l
w
a
y
s
i
n
th
e
x
-
di
r
ec
t
i
on
.
T
he
nu
m
be
r
of
c
el
l
s
f
or
ea
c
h
c
a
s
e
r
an
ge
s
f
r
om
2.3
6
-
2.5
9
m
i
l
l
i
on
.
Inc
r
e
as
i
ng
the
n
um
be
r
of
c
el
l
s
to
7.9
6
m
i
l
l
i
on
do
es
n
ot
s
i
gn
i
f
i
c
a
nt
l
y
c
h
an
g
e
th
e
drag
an
d
l
i
f
t
c
oe
f
f
i
c
i
en
ts
of
the
bu
i
l
di
ng
(
<
1%
d
i
f
f
erenc
e)
an
d
the
r
ef
ore
i
nd
i
c
ate
s
m
e
s
h
i
nd
ep
en
d
en
c
e.
I
n
the
s
e
s
i
m
ul
ati
on
s
,
i
t
i
s
as
s
um
ed
t
ha
t
th
e
gro
u
nd
i
s
f
l
at.
T
hi
s
as
s
um
pti
on
i
s
r
ea
s
on
ab
l
e
as
t
he
h
ei
g
ht
v
ari
ati
on
of
the
un
du
l
at
i
n
g g
r
o
un
d
i
s
s
m
al
l
c
o
m
pa
r
ed
to
the
he
i
gh
t
of
th
e b
ui
l
di
ng
.
A
l
l
s
i
m
ul
ati
on
s
w
ere
c
on
d
u
c
ted
us
i
ng
t
he
s
te
ad
y
-
s
t
ate
Re
y
n
ol
ds
-
av
erage
d Na
v
i
er
-
S
tok
es
eq
ua
t
i
o
n
wi
th
t
he
s
t
an
da
r
d S
pa
l
art
-
A
l
l
m
aras
tu
r
bu
l
en
c
e m
od
el
. T
he
s
i
m
pl
e
F
oa
m
s
ol
v
er
i
n Op
en
F
O
A
M
®
v
ers
i
on
2.
1
.1
w
as
us
e
d t
o
s
i
m
ul
ate
t
he
f
l
ow
[9]
. T
he
grad
i
en
t
an
d
di
f
f
us
i
v
e t
erm
s
wer
e d
i
s
c
r
eti
s
ed
us
i
n
g s
ec
on
d
-
ord
er c
en
tr
a
l
d
i
f
f
erenc
i
ng
s
c
he
m
e a
nd
t
he
c
on
v
ec
t
i
v
e t
erm
s
w
ere
di
s
c
r
eti
s
ed
w
i
t
h t
h
e s
ec
on
d
-
order
up
wi
n
d s
c
he
m
e.
T
he
k
i
ne
m
ati
c
v
i
s
c
os
i
t
y
of
th
e f
l
ui
d
i
s
υ
=
1
.5
x
10
-
5
m
2
/s
w
h
i
c
h i
s
of
a
i
r
at
2
0°
C.
S
i
m
ul
at
i
on
s
wer
e run
un
ti
l
t
he
l
i
f
t a
n
d d
r
a
g c
oe
f
f
i
c
i
en
ts
of
th
e
bu
i
l
d
i
ng
c
o
nv
erges
(
t
y
p
i
c
al
l
y
wi
th
i
n 5
00
-
1
00
0
i
ter
ati
on
s
)
.
3.
Re
sult
s
F
ou
r
l
oc
ati
on
s
on
the
r
oo
f
of
the
B
A
b
ui
l
d
i
ng
are
i
de
nti
f
i
ed
as
po
t
en
t
i
al
p
l
ac
em
en
ts
of
the
wi
n
d
s
en
s
ors
an
d
w
i
nd
turbi
n
e.
T
he
y
ar
e
l
oc
ate
d
a
t
(
x
,
y
,
z
)
c
oo
r
d
i
na
t
es
P
oi
nt
1:
(
0,0
,
z
)
,
P
o
i
nt
2:
(
30
,
20
,
z
),
P
o
i
nt
3:
(
-
30
,
20
,
z
)
an
d
P
o
i
nt
4:
(
0
,45
,
z
)
(
s
ee
f
i
gu
r
e
2
(
d)
)
.
T
he
h
ori
z
on
ta
l
wi
n
d
v
e
l
oc
i
t
y
m
ag
ni
tu
de
(
|
U
xy
|
=
(
U
x
2
+
U
y
2
)
½
)
at
t
he
s
e
f
ou
r
l
oc
ati
o
ns
are
i
nv
es
ti
g
ate
d
at
three
d
i
f
f
erent
he
i
gh
ts
(
z
=
2
3
m
,
25
m
a
nd
27
m
)
.
F
i
gu
r
e
2
(a
-
c)
i
l
l
us
tr
a
tes
the
p
l
ot
of
th
e
ho
r
i
z
o
nta
l
wi
nd
v
el
oc
i
t
y
m
ag
ni
tud
e
f
or
the
f
ou
r
po
i
n
ts
at
he
i
gh
ts
z
=
23
m
,
2
5
m
an
d
2
7
m
r
es
p
ec
ti
v
e
l
y
.
F
or
po
i
nt
1
at
z
=
23
m
an
d
2
5
m
,
the
v
el
oc
i
t
y
m
ag
n
i
tu
de
i
s
s
et
to
be
z
ero
as
th
e
p
oi
nts
are
l
oc
ate
d
w
i
t
hi
n
th
e
bu
i
l
d
i
ng
.
A
t
a
he
i
gh
t
of
23
m
(
f
i
gu
r
e
2
(
a)
)
,
po
i
nt
2
h
as
the
hi
gh
es
t
m
ea
n
v
el
oc
i
t
y
.
It
al
s
o
h
as
the
l
ea
s
t
nu
m
be
r
of
w
i
nd
an
g
l
e
s
whi
c
h
are
be
l
o
w
th
e
m
ea
n
(
3
of
8
an
g
l
es
)
.
O
n
th
e
c
on
tr
ar
y
,
p
oi
nt
4
ha
s
the
l
o
wes
t
m
ea
n
v
el
o
c
i
t
y
.
Des
p
i
te
h
av
i
n
g
the
l
o
w
es
t
m
ea
n
v
el
oc
i
t
y
,
i
t
h
as
the
hi
g
he
s
t
m
i
ni
m
u
m
an
d
m
ax
i
m
u
m
v
el
oc
i
t
y
c
om
pa
r
ed
to
t
he
oth
e
r
po
i
n
ts
.
W
i
nd
s
pe
ed
m
ag
ni
tud
e
f
or
m
os
t
wi
nd
an
g
l
es
(
6
of
8
an
gl
es
)
i
s
al
s
o
l
o
wer
tha
n
t
he
m
ea
n
v
el
oc
i
t
y
an
d
h
as
the
l
arges
t
s
tan
d
ard
de
v
i
at
i
o
n
w
h
i
c
h i
s
no
t
a f
av
ou
r
ab
l
e
l
oc
at
i
on
to
pl
ac
e
a
wi
nd
tu
r
b
i
ne
(
s
ee
ta
bl
e 1
)
.
P
oi
n
t
3
h
as
the
h
i
gh
es
t
m
e
an
w
i
nd
s
pe
e
d
at
z
=
25
m
whi
l
e
po
i
nt
4
s
ti
l
l
ha
s
the
l
o
w
es
t
m
ea
n
w
i
n
d
s
pe
e
d
(
f
i
gu
r
e
2
(
b)
)
.
It
i
s
i
nte
r
es
ti
ng
th
at
po
i
nt
3
n
o
w
ha
s
a
h
i
gh
er
m
e
an
w
i
nd
s
pe
e
d
tha
n
po
i
nt
2
al
tho
ug
h
i
t
a
pp
ea
r
s
to
be
s
urr
o
un
d
ed
b
y
r
ec
ta
ng
u
l
ar
bl
oc
k
s
.
T
h
es
e
ob
s
tac
l
es
ac
tua
l
l
y
c
h
an
n
el
th
e
wi
nd
t
o
the
w
i
n
d
turbi
ne
an
d
ac
c
el
erate
t
he
f
l
o
w
.
P
o
i
nt
2
ha
s
the
l
o
wes
t
m
i
ni
m
u
m
an
d
m
ax
i
m
u
m
w
i
nd
s
pe
e
d
at
t
hi
s
h
ei
gh
t
a
n
d
w
ou
l
d
n
ot
b
e
a
g
oo
d
l
oc
ati
o
n
to
pl
ac
e
wi
nd
t
urbi
ne
/m
ea
s
uri
ng
de
v
i
c
e
as
t
he
r
e
i
s
a
l
arg
e
s
c
att
er
i
n
t
he
d
ata
d
ep
e
nd
i
ng
on
the
an
g
l
e
of
the
wi
nd
(
as
r
ef
l
ec
ted
i
n t
he
hi
g
h s
tan
da
r
d
de
v
i
ati
on
i
n t
ab
l
e 1
)
.
O
v
eral
l
,
the
m
ea
n
w
i
nd
s
pe
ed
i
nc
r
ea
s
es
wi
th
he
i
gh
t
du
e
t
o
th
e
l
og
arit
hm
i
c
v
el
oc
i
t
y
prof
i
l
e
whi
c
h
w
as
us
ed
to
m
od
el
the
atm
os
ph
eric
b
o
un
da
r
y
l
a
y
er.
In
ad
d
i
t
i
on
,
t
he
h
i
g
he
r
t
he
Evaluation Warning : The document was created with Spire.PDF for Python.
IJE
E
CS
IS
S
N:
2
50
2
-
4
75
2
Inv
es
ti
g
ati
on
o
f th
e Opt
i
ma
l
P
os
i
t
i
o
n o
f W
i
nd
S
e
ns
ors
an
d W
i
nd
Tur
bi
n
es
…
(
L
eo
n Ch
a
n
)
759
pl
ac
em
en
t
of
the
wi
n
d
s
en
s
ors
,
the
l
es
s
l
i
k
el
y
i
t
i
s
be
i
ng
b
l
oc
k
ed
b
y
th
e
s
tr
uc
tures
on
the
r
oo
f
an
d
th
eref
ore
do
es
n
ot
r
es
i
de
w
i
t
hi
n
the
t
urbu
l
en
t
wak
e
of
the
s
e
s
tr
uc
tures
.
A
t
z
=
27
m
,
po
i
nt
1
ha
s
the
h
i
gh
es
t
av
erage
wi
nd
s
pe
e
d
whi
c
h
i
s
32
%
l
arger
tha
n
t
he
a
v
era
ge
w
i
nd
s
pe
ed
at
p
oi
nt
4.
T
hi
s
wou
l
d t
he
n
c
orr
es
po
nd
t
o a
s
i
gn
i
f
i
c
an
tl
y
hi
gh
er
po
w
er
ou
tp
ut
f
r
om
th
e wi
n
d t
urb
i
ne
.
(
a)
(
b)
(
c
)
(
d)
F
i
gu
r
e
2:
P
l
o
t o
f
th
e
ho
r
i
z
o
nta
l
w
i
nd
s
pe
ed
m
ag
ni
t
ud
e
|
U
|
at
(
a)
z
=
23
m
,
(
b)
z
=
25
m
an
d
(
c
)
z
=
27
m
. T
he
bl
ac
k
ho
r
i
z
on
t
al
da
s
he
d
l
i
ne
s
r
e
pres
en
ts
t
h
e m
ea
n v
e
l
oc
i
t
y
. (
d
)
Lo
c
at
i
o
n o
f
po
i
nts
1,
2,
3 a
n
d 4
at
0
°
w
i
nd
an
g
l
e.
A
t
p
oi
n
ts
1
a
nd
4,
th
e
h
ori
z
on
tal
w
i
nd
v
e
l
oc
i
t
y
m
ag
ni
t
u
de
i
s
v
er
y
l
arg
e
at
wi
n
d
a
ng
l
es
90
°
an
d
2
70
°
(
s
ee
o
a
nd
ο
s
y
m
bo
l
s
i
n
f
i
g
ure
2
)
.
L
oo
k
i
ng
a
t
th
e
v
o
l
um
e
r
en
de
r
i
ng
of
the
v
el
oc
i
t
y
m
ag
ni
tud
e
arou
nd
the
B
A
bu
i
l
d
i
ng
i
n
f
i
gu
r
es
3
(
a,
b)
,
we
s
ee
th
at
t
he
l
oc
at
i
o
n
o
f
the
s
e
p
oi
n
ts
do
es
no
t
r
es
i
de
wi
th
i
n
th
e
wak
e
of
the
f
l
o
w
.
O
n
the
o
t
he
r
ha
n
d,
po
i
nts
2
a
nd
3
h
av
e
l
o
wer
wi
n
d
s
pe
ed
s
at
th
es
e
an
gl
es
as
t
he
y
are
l
oc
at
ed
wi
th
i
n t
he
t
urbul
en
t
wak
e o
f
th
e f
l
o
w
.
T
he
r
eg
i
o
n
of
l
o
w
s
pe
e
d
wi
nd
i
s
m
ore
s
i
g
ni
f
i
c
an
t
at
an
g
l
e
θ
=
27
0°
(
f
i
g
ure
3
(
b)
)
as
ob
s
erv
e
d
b
y
the
s
tr
on
g
gre
en
a
nd
y
e
l
l
o
w
c
o
nto
urs
.
A
t
thi
s
wi
nd
an
gl
e,
t
he
f
l
o
w
r
e
s
e
m
bl
es
a
f
l
o
w
ov
er
a
b
l
uf
f
bo
d
y
.
F
or
an
gl
e
θ
=
90
°
(
f
i
gu
r
e
3
(
a)
)
the
s
ha
r
p
ed
ge
of
th
e
bu
i
l
di
ng
s
pl
i
ts
f
l
o
w
an
d
c
ha
nn
e
l
s
the
f
l
o
w
aro
un
d
t
he
bu
i
l
di
n
g
r
ath
er
th
an
o
v
e
r
the
bu
i
l
d
i
ng
s
.
T
he
r
ef
ore
the
r
e
i
s
hi
gh
e
r
wi
nd
s
pe
e
d
at
the
r
o
of
an
d
a
m
uc
h
s
m
al
l
er
r
eg
i
o
n
of
l
o
w
wi
n
d
s
pe
ed
a
t
th
e
s
i
d
es
of
the
bu
i
l
di
ng
.
A
c
tua
l
pre
l
i
m
i
na
r
y
wi
nd
da
t
a
c
ol
l
ec
te
d
f
r
om
the
B
A
b
ui
l
di
ng
f
ou
nd
tha
t
th
e
d
i
r
ec
ti
o
n
of
th
e
wi
nd
t
y
p
i
c
al
l
y
oc
c
urs
at
an
an
gl
e
of
22
5°
.
B
as
ed
o
n
th
i
s
i
nf
o
r
m
ati
on
,
p
oi
nt
3
wi
l
l
be
t
he
m
o
s
t
s
ui
tab
l
e
l
oc
at
i
on
at
z
=
23
m
a
nd
25
m
w
h
i
l
e
po
i
nt
1
wi
l
l
b
e t
h
e o
pti
m
u
m
l
oc
ati
o
n a
t
z
=
2
7
m
.
W
i
nd
di
r
ec
ti
on
Evaluation Warning : The document was created with Spire.PDF for Python.
IS
S
N:
25
02
-
4
75
2
IJE
E
CS
V
ol
.
8
,
N
o.
3
,
Dec
em
be
r
2017
:
7
5
6
–
7
6
1
760
F
i
gu
r
e
3:
V
ol
um
e rend
eri
ng
of
th
e v
el
oc
i
t
y
m
ag
ni
tu
de
|
U
|
f
or
|
U
|
<
1
m
/s
f
or win
d
an
gl
es
(
a) 9
0°
,
(
b) 270
°
an
d (c
)
22
5°
. T
he
bu
bb
l
e r
eg
i
on
hi
g
hl
i
g
hts
th
e
r
eg
i
o
n
where t
he
wi
n
d s
pe
ed
i
s
i
ns
uf
f
i
c
i
en
t to
s
us
tai
n t
h
e ro
tat
i
on
of
a
t
y
p
i
c
al
v
erti
c
a
l
a
x
i
s
wi
nd
tu
r
b
i
ne
.
W
a
ll
-
n
o
r
m
a
l
H
e
igh
t
L
o
c
a
t
ion
M
in.
W
i
n
d
S
p
e
e
d
(
m
/
s
)
M
a
x
.
W
i
n
d
S
p
e
e
d
(
m
/
s
)
W
i
n
d
M
e
a
n
S
p
e
e
d
(
m
/
s
)
S
t
a
n
d
a
r
d
D
e
v
iat
ion
N
o
.
o
f
W
ind
D
ire
c
t
ion
s
B
e
low
M
e
a
n
N
o
.
o
f
W
ind
D
ire
c
t
ion
s
B
e
low
0
.
5
m
/
s
z
=
23
m
P
o
int
1
-
-
-
-
-
-
P
o
int
2
0
.
1
7
1
.
7
0
1
.
0
1
0
.
5
9
3
2
P
o
int
3
0
.
1
0
1
.
6
6
0
.
9
9
0
.
5
5
4
1
P
o
int
4
0
.
3
1
2
.
0
1
0
.
9
3
0
.
6
2
6
2
z
=
25
m
P
o
int
1
-
-
-
-
-
-
P
o
int
2
0
.
1
6
1
.
7
7
1
.
1
2
0
.
6
4
3
2
P
o
int
3
0
.
3
8
1
.
7
9
1
.
2
1
0
.
5
0
5
1
P
o
int
4
0
.
6
6
2
.
0
5
1
.
0
5
0
.
5
5
6
0
z
=
27
m
P
o
int
1
1
.
1
0
2
.
3
8
1
.
8
0
0
.
4
6
2
0
P
o
int
2
0
.
6
8
1
.
8
9
1
.
5
0
0
.
4
4
4
0
P
o
int
3
0
.
8
7
1
.
9
0
1
.
5
7
0
.
3
5
3
0
P
o
int
4
0
.
8
0
2
.
0
6
1
.
3
6
0
.
4
3
6
0
T
ab
l
e 1
:
S
um
m
ar
y
of
th
e h
ori
z
on
ta
l
wi
n
d s
pe
e
d res
u
l
t
s
f
or
the
4
l
oc
a
ti
o
ns
at
he
i
gh
ts
z
=
2
3
m
,
25
m
an
d 2
7
m
.
Evaluation Warning : The document was created with Spire.PDF for Python.
IJE
E
CS
IS
S
N:
2
50
2
-
4
75
2
Inv
es
ti
g
ati
on
o
f th
e Opt
i
ma
l
P
os
i
t
i
o
n o
f W
i
nd
S
e
ns
ors
an
d W
i
nd
Tur
bi
n
es
…
(
L
eo
n Ch
a
n
)
761
Ide
a
l
l
y
,
i
t
w
o
ul
d
be
b
es
t
t
o
pl
ac
e
the
wi
n
d
s
en
s
ors
an
d
t
he
wi
nd
t
urbi
ne
as
h
i
gh
as
po
s
s
i
bl
e.
H
o
w
e
v
er,
ha
v
i
n
g
a
po
l
e
whi
c
h
i
s
h
i
gh
e
r
tha
n
the
l
i
gh
t
i
n
g
r
od
o
f
the
bu
i
l
di
n
g
s
i
gn
i
f
i
c
an
tl
y
i
nc
r
ea
s
es
t
he
r
i
s
k
of
the
de
v
i
c
es
be
i
ng
s
tr
uc
k
b
y
l
i
g
htn
i
n
g.
T
hi
s
i
s
an
i
m
po
r
tan
t
c
on
s
i
de
r
a
ti
o
n
es
pe
c
i
al
l
y
i
n
S
ou
t
he
as
t
A
s
i
an
c
ou
ntri
e
s
l
i
k
e
Ma
l
a
y
s
i
a
w
h
ere
th
ere
i
s
a
hi
g
h
oc
c
urr
en
c
es
of
tropi
c
al
th
u
nd
ers
torm
s
. In
ad
di
t
i
o
n,
p
l
a
c
i
ng
t
he
s
e d
ev
i
c
es
at
a h
i
g
h a
l
ti
t
ud
e
wou
l
d
r
eq
ui
r
e
f
ab
r
i
c
ati
ng
a
t
al
l
an
d
s
turd
y
s
up
p
ort
p
ol
e.
It
w
o
ul
d
be
di
f
f
i
c
ul
t
t
o
s
et
up
a
n
d
m
ai
nta
i
n
th
e
de
v
i
c
es
.
If
the
wi
n
d
turbi
ne
i
s
to
be
pl
ac
ed
at
z
=
27
m
,
the
s
up
p
ort
po
l
e
ne
ed
s
to
ha
v
e
a
l
en
gth
of
8.3
4
m
i
f
pl
ac
e
d
at
po
i
nts
2,
3
or
4
bu
t
o
nl
y
r
e
qu
i
r
es
a
l
en
g
th
of
1.9
8
m
i
f
pl
ac
ed
at
p
oi
nt
1
d
ue
to
the
hi
gh
er
e
l
e
v
at
i
o
n
of
the
s
urf
ac
e.
T
he
r
ef
ore,
i
t
woul
d
be
f
a
v
ou
r
a
bl
e
to
pl
ac
e
t
he
wi
nd
s
en
s
ors
an
d
wi
n
d t
urb
i
n
e a
t
po
i
nt
1
as
a
s
i
gn
i
f
i
c
an
tl
y
s
h
orter
s
up
p
ort
po
l
e
i
s
ne
ed
e
d.
4.
Co
n
clus
ion
T
he
f
l
ow
o
v
er
UN
IT
E
N’
s
a
dm
i
ni
s
tr
ati
v
e
b
ui
l
d
i
ng
i
s
s
i
m
ul
ate
d
us
i
ng
s
t
ea
d
y
-
s
tat
e
RA
N
S
.
A
tot
a
l
of
8
c
as
es
w
ere
c
on
du
c
ted
to
prov
i
d
e
a
c
om
pre
he
ns
i
v
e
pre
di
c
t
i
on
of
the
f
l
o
w
at
di
f
f
erent
wi
nd
an
gl
es
.
T
he
ho
r
i
z
o
nta
l
w
i
nd
v
e
l
oc
i
t
y
m
ag
ni
t
ud
e
a
t
the
r
o
of
of
the
b
ui
l
di
ng
was
an
a
l
y
s
e
d
at
f
ou
r
di
f
f
erent roof
l
oc
at
i
o
ns
at
h
ei
g
hts
z
=
23
m
, 2
5
m
an
d 2
7
m
. R
es
ul
ts
f
or t
he
an
a
l
y
s
i
s
c
on
du
c
ted
f
ou
nd
tha
t
th
e
op
t
i
m
al
l
oc
at
i
on
to
p
l
ac
e
t
he
w
i
nd
de
v
i
c
es
an
d
w
i
n
d
turb
i
ne
woul
d
be
at
po
i
nt
1
a
t
a
he
i
gh
t
of
27
m
.
A
t
th
i
s
l
o
c
ati
on
an
d
he
i
g
ht,
m
ax
i
m
um
m
ea
n
wi
n
d
s
pe
e
d
i
s
ob
t
ai
n
ed
a
nd
t
hi
s
l
oc
at
i
on
a
l
s
o
ha
s
th
e
hi
gh
e
s
t
m
i
ni
m
u
m
an
d
m
ax
i
m
u
m
wi
nd
s
p
ee
d.
I
n
ad
di
t
i
on
,
th
e
s
up
po
r
t
p
ol
e
r
eq
ui
r
e
d
to
f
i
x
the
de
v
i
c
es
on
l
y
ha
s
to
be
1.9
8
m
h
i
gh
as
po
i
nt
1
i
s
l
oc
at
ed
at
a
hi
gh
er
el
ev
ati
on
f
r
o
m
the
oth
er
p
oi
n
ts
.
T
hi
s
w
o
ul
d
m
a
k
e
the
as
s
em
bl
y
,
i
ns
tal
l
at
i
o
n
an
d
m
ai
nt
en
an
c
e
of
the
de
v
i
c
es
m
uc
h e
as
i
er.
5
.
A
c
kno
w
ledg
ement
s
T
hi
s
w
ork
w
as
f
i
na
nc
i
a
l
l
y
s
up
po
r
t
ed
b
y
Uni
v
ers
i
t
i
T
en
a
ga
Nas
i
on
al
I
nte
r
n
al
G
r
a
nt,
un
de
r
the
gre
en
c
am
pu
s
i
n
i
ti
ati
v
e
proj
ec
t.
Ref
er
en
ce
s
[1
]
G
o
v
e
rn
m
e
n
t
o
f
M
a
l
a
y
s
i
a
.
I
n
te
n
d
e
d
Na
t
i
o
n
a
l
l
y
De
te
rm
i
n
e
d
Co
n
tri
b
u
ti
o
n
o
f
t
h
e
Gov
e
rn
m
e
n
t
o
f
M
a
l
a
y
s
i
a
.
2016
.
[Onl
i
n
e
].
Av
a
i
l
a
b
l
e
:
h
tt
p
:/
/www
4
.u
n
fc
c
c
.
i
n
t/
s
u
b
m
i
s
s
i
o
n
s
/
INDC
7
,
n
o
.
6
,
p
p
.
5
0
7
–
5
1
8
,
2
0
0
3
.
[5
]
I.
Ab
o
h
e
l
a
,
N.
Ha
m
z
a
,
a
n
d
S.
Dud
e
k
.
Eff
e
c
t
o
f
ro
o
f
s
h
a
p
e
,
w
i
n
d
d
i
re
c
ti
o
n
,
b
u
i
l
d
i
n
g
h
e
i
g
h
t
a
n
d
u
rb
a
n
c
o
n
f
i
g
u
ra
ti
o
n
o
n
th
e
e
n
e
rg
y
y
i
e
l
d
a
n
d
p
o
s
i
ti
o
n
i
n
g
o
f
ro
o
f
m
o
u
n
te
d
w
i
n
d
tu
rb
i
n
e
s
.
Ren
e
w.
En
e
rg
y
.
2013
.
5
0
:
1
1
0
6
–
1
1
1
8
.
[6
]
F.
T
o
ja
-
Si
l
v
a
,
C.
Pe
ra
l
t
a
,
O
.
L
o
p
e
z
-
G
a
rc
i
a
,
J
.
Nav
a
rro
,
a
n
d
I.
Cruz
.
Roo
f
re
g
i
o
n
d
e
p
e
n
d
e
n
t
w
i
n
d
p
o
te
n
t
i
a
l
a
s
s
e
s
s
m
e
n
t
w
i
th
d
i
ff
e
re
n
t
RAN
S
tu
rb
u
l
e
n
c
e
m
o
d
e
l
s
.
J
.
W
i
n
d
En
g
.
In
d
.
Ae
ro
d
y
n
.
2015
;
1
4
2
:
25
8
–
2
7
1
.
[7
]
A.
Ka
l
m
i
k
o
v
,
G
.
Dup
o
n
t,
K
.
Dy
k
e
s
,
a
n
d
C.
C
h
a
n
.
Wi
n
d
p
o
we
r
re
s
o
u
r
c
e
a
s
s
e
s
s
m
e
n
t
i
n
c
o
m
p
l
e
x
u
rb
a
n
e
n
v
i
r
o
n
m
e
n
t
s
:
M
IT
c
a
m
p
u
s
c
a
s
e
-
s
tu
d
y
u
s
i
n
g
CFD
An
a
l
y
s
i
s
.
in
A
W
EA
2
0
1
0
W
i
n
d
p
o
w
e
r
Con
fe
re
n
c
e
.
Dal
l
a
s
,
USA
,
2
0
1
0
.
[8
]
J
.
T
.
M
i
l
l
w
a
rd
-
Hop
k
i
n
s
,
A.
S
.
T
o
m
l
i
n
,
L
.
M
a
,
D.
B.
In
g
h
a
m
,
a
n
d
M
.
Po
u
rk
a
s
h
a
n
i
a
n
.
A
s
s
e
s
s
i
n
g
t
h
e
p
o
te
n
t
i
a
l
o
f
u
rb
a
n
w
i
n
d
e
n
e
rg
y
i
n
a
m
a
j
o
r
UK
c
i
ty
u
s
i
n
g
a
n
a
n
a
l
y
ti
c
a
l
m
o
d
e
l
.
Ren
e
w.
En
e
rg
y
.
2
0
1
3
;
6
0
:7
0
1
–
7
1
0
.
[9
]
H.
G
.
W
e
l
l
e
r,
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.
T
a
b
o
r,
H.
J
a
s
a
k
,
a
n
d
C.
Fu
re
b
y
.
A
te
n
s
o
ri
a
l
a
p
p
ro
a
c
h
to
c
o
m
p
u
ta
t
i
o
n
a
l
c
o
n
t
i
n
u
u
m
m
e
c
h
a
n
i
c
s
u
s
i
n
g
o
b
j
e
c
t
-
o
ri
e
n
t
e
d
t
e
c
h
n
i
q
u
e
s
.
Com
p
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t.
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s
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–
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3
1
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