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Filamentation of Unstable Vortex Structures via Separatrix Crossing: A Quantitative Estimate of Onset Time

Polvani, Lorenzo M.; Flierl, G. R.; Zabusky, N. J.

The onset of filamentation for compact vortex structures in two-dimensional incompressible flows is elucidated. An estimate is presented for the filamentation time of an unstably perturbed Kirchhoff ellipse, obtained from a linear analysis of the geometry of the instantaneous corotating streamfunction.



Also Published In

Physics of Fluids A: Fluid Dynamics

More About This Work

Academic Units
Applied Physics and Applied Mathematics
AIP Publishing
Published Here
November 19, 2013
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