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Nonlinear dynamics of the elliptic instability

Abstract : In this paper, we analyse by numerical simulations the nonlinear dynamics of the elliptic instability in the configurations of a single strained vortex and a system of two counter-rotating vortices. We show that although a weakly nonlinear regime associated with a limit cycle is possible, the nonlinear evolution far from the instability threshold is, in general, much more catastrophic for the vortex. In both configurations, we put forward some evidence of a universal nonlinear transition involving shear layer formation and vortex loop ejection, leading to a strong alteration and attenuation of the vortex, and a rapid growth of the vortex core size.
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https://hal-insu.archives-ouvertes.fr/insu-00548979
Contributor : Pascale Talour <>
Submitted on : Tuesday, December 21, 2010 - 9:31:10 AM
Last modification on : Saturday, October 3, 2020 - 3:13:56 AM

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Nathanaël Schaeffer, Stéphane Le Dizès. Nonlinear dynamics of the elliptic instability. Journal of Fluid Mechanics, Cambridge University Press (CUP), 2010, 646, pp.471-480. ⟨10.1017/S002211200999351X⟩. ⟨insu-00548979⟩

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