Email this article Stability of jet flows in a rotating shallow water layer
- Authors: Kalashnik M.V.1,2, Chkhetiani O.G.1,3
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Affiliations:
- Obukhov Institute of Atmospheric Physics
- Obninsk Institute for Nuclear Power Engineering
- Space Research Institute of Russian Academy of Sciences (IKI)
- Issue: Vol 51, No 5 (2016)
- Pages: 606-619
- Section: Article
- URL: https://journals.rcsi.science/0015-4628/article/view/155341
- DOI: https://doi.org/10.1134/S0015462816050045
- ID: 155341
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Abstract
The problem of the stability of an isolated jet flow and two counter-streaming jet flows in a rotating shallow-water layer is considered. These flows are described by exact solutions of the Charny–Obukhov equation with one or two discontinuities of the potential vorticity, respectively. The isolated jet flow is shown to be stable. For the system consisting of two jet flows the dependence of the characteristics of the unstable wave modes on a geometric parameter, namely, the ratio of the spacing between the jet axes to the deformation radius, is determined. On the basis of the contour dynamics method a weakly-nonlinear model of the longwave instability is developed.
About the authors
M. V. Kalashnik
Obukhov Institute of Atmospheric Physics; Obninsk Institute for Nuclear Power Engineering
Author for correspondence.
Email: kalashnik-obn@mail.ru
Russian Federation, Pyzhevskii per. 3, Moscow, 119017; Studencheskii gorodok kv. 1, str. 1, Obninsk, Kaluga oblast, 249030
O. G. Chkhetiani
Obukhov Institute of Atmospheric Physics; Space Research Institute of Russian Academy of Sciences (IKI)
Email: kalashnik-obn@mail.ru
Russian Federation, Pyzhevskii per. 3, Moscow, 119017; ul. Profsoyuznaya 84/32, Moscow, 117997
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