12:00 PM - 12:15 PM
[MIS22-12] Optimal excitation of asymmetric perturbations on an axisymmetric barotropic vortex with piecewise constant vorticity
Keywords:optimal excitation, singular value, singular vector, barotropic vortex, multiple vortex
The results can be categorized into the two kinds based on the shape of the basic vortex. For Michalke & Timme's vortex characterized by a ring of high vorticity, the forward and backward singular vectors and the growing eigenvector are rather similar in shape with each other. On the contrary, for Syono's vortex incorporating a negative vorticity region surrounding the positive vorticity core, the shape of the forward singular vector is quite different from that of the backward singular vector and the growing eigenvector. Some results in the case adopting energy norm are also introduced.