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3. Results
We first diagnose the result from the wavenumber 2 perturbation
simulations. Figure 4 shows the time evolution of the simulated symmetric
tangential wind profile at a 3-h interval. As one can clearly see, a double-
peak wind profile appears at hour 6. After that, the outer maximum
continues to grow, while the inner peak experiences an oscillation in
amplitude. For instance, at hour 9, there are two peaks in the symmetric
tangential wind profile, with the inner one retaining bigger amplitude; at
hour 12, the outer one has stronger amplitude.
A key question related to this double eyewall formation is how the
outer wind peak is established. A notable feature is that the symmetric
tangential wind in the outer region (
15) continues to grow while the
wind in the inner region oscillates after initial rapid decay. These distinctive
evolution features between the outer and inner regions are closely related
to the energy transfer between the symmetric flow and the asymmetric
perturbation, as shown in Fig. 5.
The diagnosis of the energy exchange between the symmetric and
asymmetric components (the second-to-fifth terms on right-hand side of
(2.4)) shows that outside of
r>
0
.
r
=0
.
15 there is always a positive energy
Fig. 4. The evolution of non-dimensional symmetric tangential wind profiles for case
T20. To obtain tangential wind in ms 1 , multiply by 50. To obtain radial displacement
in km, multiply by 1000.
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