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- W2898033054 abstract "Herein we study the general interaction of two vortex patches in a single-layer quasi-geostrophic shallow-water flow. Steadily-rotating equilibrium states are found over a wide parameter space spanning the Rossby deformation length, vortex area ratio, potential vorticity ratio, and gap between their innermost edges. A linear stability analysis is then used to identify the critical gap separating stable and unstable solutions, over the entire range of area and potential vorticity ratios, and for selected values of the Rossby deformation length. A representative set of marginally unstable equilibrium states are then slightly perturbed and evolved by an accurate contour dynamics numerical algorithm to understand the long-term fate of the instabilities. Not all instabilities lead to vortex merger; many in fact are characterised by weak filamentation and a small adjustment of the vortex shapes, without merger. Stronger instabilities lead to material being torn from one vortex and either wrapped around the other or reduced to ever thinning filamentary debris. A portion of the vortex may survive, or it may be completely strained out by the other." @default.
- W2898033054 created "2018-10-26" @default.
- W2898033054 creator A5053585039 @default.
- W2898033054 creator A5088255332 @default.
- W2898033054 date "2018-10-16" @default.
- W2898033054 modified "2023-10-17" @default.
- W2898033054 title "The interaction of two asymmetric quasi-geostrophic vortex patches" @default.
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- W2898033054 doi "https://doi.org/10.1080/03091929.2018.1532508" @default.
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