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Coherent structures and chaotic advection in three dimensions

Published online by Cambridge University Press:  17 June 2010

STEPHEN WIGGINS
STEPHEN WIGGINS*
Affiliation:
Department of Mathematics, University of Bristol, Bristol BS8 1TW, UK
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Abstract

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In the 1980s the incorporation of ideas from dynamical systems theory into theoretical fluid mechanics, reinforced by elegant experiments, fundamentally changed the way in which we view and analyse Lagrangian transport. The majority of work along these lines was restricted to two-dimensional flows and the generalization of the dynamical systems point of view to fully three-dimensional flows has seen less progress. This situation may now change with the work of Pouransari et al. (J. Fluid Mech., this issue, vol. 654, 2010, pp. 5–34) who study transport in a three-dimensional time-periodic flow and show that completely new types of dynamical systems structures and consequently, coherent structures, form a geometrical template governing transport.

JFM classification

Mixing: Chaotic advection
Type
Focus on Fluids
Information
Journal of Fluid Mechanics , Volume 654 , 10 July 2010 , pp. 1 - 4
Copyright
Copyright © Cambridge University Press 2010

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