Collapse and amplification of a vortex filament
- 1 March 1985
- journal article
- research article
- Published by AIP Publishing in Physics of Fluids
- Vol. 28 (3) , 794-805
- https://doi.org/10.1063/1.865047
Abstract
A single filament with a variable core size parameter is used to model how a vortex tube breaks down in the Euler equations. The first singularity is a self‐similar collapse which brings two antiparallel pieces of filament together at a point. This pairing then quickly encompasses a finite fraction of the initial data and the arclength begins to grow faster than exponential. A local model should exist which would allow one to understand the stage of rapid stretching in terms of simpler processes.Keywords
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