Integrable Vortex Motions in Unbounded and Periodic Domains
Stremler, Mark Andrew
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https://hdl.handle.net/2142/87771
Description
Title
Integrable Vortex Motions in Unbounded and Periodic Domains
Author(s)
Stremler, Mark Andrew
Issue Date
1998
Doctoral Committee Chair(s)
Hassan Aref
Department of Study
Theoretical and Applied Mechanics
Discipline
Theoretical and Applied Mechanics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Physics, Fluid and Plasma
Language
eng
Abstract
In each of the vortex systems investigated, the motion of a passive particle in the field of the vortices is, in general, chaotic. One means of characterizing the advected field is through Thurston-Nielsen theory from topology. Using only information about the motions of the vortices themselves and the fact that the advected fluid is a continuous field, Thurston-Nielsen theory establishes a lower bound on the stretching in the advected field. Some of the vortex motions investigated produce exponential stretching in the flow field. This stretching is as violent as any in turbulent flow, which suggests that the problem of point vortices in two-dimensional flow may lend itself to an understanding of some of the physics present in fully turbulent two-dimensional flows.
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