Non-local dynamics governing the self-induced motion of a planar vortex filament

Journal article

Abstract:: While the Hasimoto planar vortex filament is one of the few exact solutions to the local induction approximation (LIA) approximating the self-induced motion of a vortex filament, it is natural to wonder whether such a vortex filament solution would exist for the non-local Biot-Savart dynamics exactly governing the filament motion, and if so, whether the non-local effects would drastically modify the solution properties. Both helical vortex filaments and vortex rings are known to exist under ...
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Institution:

University of Oxford

Division:

MPLS

Role:

Author

Keywords:: exact solutions

integral equations

integrodifferential equations

rotating flows

SBTMR

numerical solutions
Pubs id:: pubs:531364
UUID:: uuid:6bbd202f-5ad8-4e12-bec2-5d41436c5175
Local pid:: pubs:531364
Source identifiers:: 531364
Deposit date:: 2016-04-16

Copyright holder:: American Institute of Physics
Notes:: This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This is the author accepted manuscript following peer review version of the article. The final version is available online from American Institute of Physics at: http://dx.doi.org/10.1063/1.4922171

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