Geoscience Reference
In-Depth Information
2.2
. Experiment design
A core vortex is specified initially, which has a hurricane-like tangential
wind profile (see Fig. 2) defined as follows:
r/R
max
)
1+(
2(
V
(
r/R
max
)=
V
max
r/R
max
)
2
,
(2.2)
where the maximum tangential wind
V
max
=0
.
5(25 m/s), and the radius of
R
max
=0
.
maximum wind
1(100 km). The vorticity of the core vortex has
a maximum at the center of the vortex (as seen in Fig. 1(c)) and decreases
(
a
)
(
b
)
(
c
)
(
d
)
Fig. 2. Radial profiles of the hurricane-like vortex for nondimensional (a) tangential
wind, (b) angular velocity, (c) vorticity, and (d) vorticity gradient. To obtain tangential
wind in ms
−
1
, multiply by 50. To obtain angular velocity or vorticity in s
−
1
, multiply
by 5
×
10
−
5
. To obtain vorticity gradient in m
−
1
s
−
1
, multiply by 5
×
10
−
11
.Toobtain
radial displacement in km, multiply by 1000.