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The universal structure of high-curvature regions of material lines in chaotic flows

Leonard, A. (2009) The universal structure of high-curvature regions of material lines in chaotic flows. Journal of Fluid Mechanics, 622 . pp. 167-175. ISSN 0022-1120. https://resolver.caltech.edu/CaltechAUTHORS:20090824-134558385

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Abstract

Regions of high curvature of a material line as they evolve in a chaotic flow are considered. In such a region, the curvature as a function of arclength along the line is found to have a universal form with the peak curvature the only parameter involved. The alignment of the principal axes of the strain tensor with respect to the local tangent vector of the curve and the ratio of the two largest finite-time Lyapunov exponents play a key role. Numerical experiments with ABC flow demonstrate the result.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1017/S0022112008005132DOIUNSPECIFIED
http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=4292052PublisherUNSPECIFIED
Additional Information:Copyright © Cambridge University Press 2009. (Received 11 July 2008 and in revised form 2 October 2008). Published online by Cambridge University Press 23 February 2009.
Group:GALCIT
Record Number:CaltechAUTHORS:20090824-134558385
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20090824-134558385
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:15280
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:11 Sep 2009 15:49
Last Modified:03 Oct 2019 00:56

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