Please use this identifier to cite or link to this item: https://hdl.handle.net/2440/112267
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Type: Journal article
Title: Generalized Lagrangian coherent structures
Author: Balasuriya, S.
Ouellette, N.
Rypina, I.
Citation: Physica D: Nonlinear Phenomena, 2018; 372:31-51
Publisher: Elsevier BV
Issue Date: 2018
ISSN: 0167-2789
1872-8022
Statement of
Responsibility: 
Sanjeeva Balasuriya, Nicholas T. Ouellette, Irina I. Rypina
Abstract: The notion of a Lagrangian Coherent Structure (LCS) is by now well established as a way to capture transient coherent transport dynamics in unsteady and aperiodic fluid flows that are known over finite time. We show that the concept of an LCS can be generalized to capture coherence in other quantities of interest that are transported by, but not fully locked to, the fluid. Such quantities include those with dynamic, biological, chemical, or thermodynamic relevance, such as temperature, pollutant concentration, vorticity, kinetic energy, plankton density, and so on. We provide a conceptual framework for identifying the Generalized Lagrangian Coherent Structures (GLCSs) associated with such evolving quantities. We show how LCSs can be seen as a special case within this framework, and provide an overarching discussion of various methods for identifying LCSs. The utility of this more general viewpoint is highlighted through a variety of examples. We also show that although LCSs approximate GLCSs in certain limiting situations under restrictive assumptions on how the velocity field affects the additional quantities of interest, LCSs are not in general sufficient to describe their coherent transport.
Keywords: Lagrangian coherent structures; fluid flow; flow barriers; ocean eddies; atmospheric vortices
Description: Available online 31 January 2018
Rights: © 2018 Elsevier B.V. All rights reserved.
DOI: 10.1016/j.physd.2018.01.011
Grant ID: http://purl.org/au-research/grants/arc/FT130100484
http://purl.org/au-research/grants/arc/DP170100277
Published version: http://dx.doi.org/10.1016/j.physd.2018.01.011
Appears in Collections:Aurora harvest 3
Mathematical Sciences publications

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