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The Dynamics of Quasigeostrophic Lens-Shaped Vortices ArchiMer
Storer, Benjamin; Poulin, Francis J.; Menesguen, Claire.
The stability of lens-shaped vortices is revisited in the context of an idealized quasigeostrophic model. We compute the stability characteristics with higher accuracy and for a wider range of Burger numbers (Bu) than what was previously done. It is found that there are four distinct Bu regions of linear instability. Over the primary region of interest (0.1 < Bu < 10), we confirm that the first and second azimuthal modes are the only linearly unstable modes, and they are associated with vortex tilting and tearing, respectively. Moreover, the most unstable first azimuthal mode is not precisely captured by the linear stability analysis because of the extra condition that is imposed at the vortex center, and accurate calculations of the second azimuthal...
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Ano: 2018 URL: https://archimer.ifremer.fr/doc/00448/55987/57453.pdf
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