AM05-13-020 準地衡風鉛直2重回転楕円体渦の不安定性(大気・海洋の流れ5,一般講演)

概要

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A family of exact solutions of the quasi-geostrophic equation, representing N-confocal vertical spheroids, is presented. The linear instability of double spheroidal vortices is investigated. Vortices with monotonic vorticity distribution are stable. Two possibly unstable cases are studied in detail, i.e., 'shielded vortices' and 'hollow vortices'. Two types of instability are found for 'hollow vortices'. The first instability is the Rayleigh-type instability that occurs for concentric vortex patches with non-monotonic radial vorticity distribution. The second instability is caused by resonance between two vortex waves traveling along the inner and outer spheroids. In contrast, no resonance induced instability is found for 'shielded vortices'. Nonlinear developments of unstable vortices are computed numerically, based on the CASL-algorism.
日本流体力学会の論文
2005-09-05