Theoretical predictions for the elliptical instability in a two-vortex flow

By Stéphane Le Dizes, F. Laporte. Journal of Fluid Mechanics, 2002

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Kelvin waves and the singular modes of the Lamb–Oseen vortex (2006, background): “…are related to the generic elliptic instability mechanism (Kerswell 2002), were discovered by Moore & Saffman (1975) and Tsai & Widnall (1976) and are the object of numerous recent studies (see Le Dizès & Laporte 2002; Sipp & Jacquin 2003; Fukumoto 2003; Fabre & Jacquin 2004a; and related papers).”
Physics of vortex merging (2005, background): “Le Diz`es and Laporte [ 29 ] showed that a formula for the instability growth rate can be obtained in each Gaussian vortex.”
Dynamics and Instabilities of Vortex Pairs (2016, methodology): “For the Lamb-Oseen vortex, it is well fitted by the expression s0( ) = 1.5 + 0.1323(0.32 − )−9/5, (5) valid for −0.4 0.2 (Le Dizès & Laporte 2002).”