Generalized Lagrangian coherent structures

dc.contributor.author Balasuriya, Sanjeeva
dc.contributor.author Ouellette, Nicholas T.
dc.contributor.author Rypina, Irina I.
dc.date.accessioned 2018-05-23T14:19:23Z
dc.date.available 2018-05-23T14:19:23Z
dc.date.issued 2018-01-19
dc.description Author Posting. © The Author(s), 2018. This is the author's version of the work. It is posted here under a nonexclusive, irrevocable, paid-up, worldwide license granted to WHOI. It is made available for personal use, not for redistribution. The definitive version was published in Physica D: Nonlinear Phenomena 372 (2018): 31-51, doi:10.1016/j.physd.2018.01.011. en_US
dc.description.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. en_US
dc.description.sponsorship SB acknowledges with thanks support from the Australian Research Council through Future Fellowship grant FT130100484 and Discovery Project grant DP170100277. NTO acknowledges support from the U.S. National Science Foundation under grant CMMI-1563489. IR would like to acknowledge support from the U.S. NSF grant OCE-1558806, ONR grant N00014-11-10087 and NASA grant NNX14AH29G. en_US
dc.identifier.uri https://hdl.handle.net/1912/10374
dc.language.iso en_US en_US
dc.relation.uri https://doi.org/10.1016/j.physd.2018.01.011
dc.subject Lagrangian coherent structures en_US
dc.subject Fluid flow en_US
dc.subject Flow barriers en_US
dc.subject Ocean eddies en_US
dc.subject Atmospheric vortices en_US
dc.title Generalized Lagrangian coherent structures en_US
dc.type Preprint en_US
dspace.entity.type Publication
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relation.isAuthorOfPublication.latestForDiscovery e9bf8c47-0281-41cb-9a9c-d5dde22dbcc4
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