Investigating the connection between complexity of isolated trajectories and Lagrangian coherent structures

I. I. Rypina, S. E. Scott, L. J. Pratt, M. G. Brown

Research output: Contribution to journalArticle

42 Scopus citations

Abstract

It is argued that the complexity of fluid particle trajectories provides the basis for a new method, referred to as the Complexity Method (CM), for estimation of Lagrangian coherent structures in aperiodic flows that are measured over finite time intervals. The basic principles of the CM are explained and the CM is tested in a variety of examples, both idealized and realistic, and in different reference frames. Two measures of complexity are explored in detail: the correlation dimension of trajectory, and a new measure - the ergodicity defect. Both measures yield structures that strongly resemble Lagrangian coherent structures in all of the examples considered. Since the CM uses properties of individual trajectories, and not separation rates between closely spaced trajectories, it may have advantages for the analysis of ocean float and drifter data sets in which trajectories are typically widely and non-uniformly spaced.

Original languageEnglish (US)
Pages (from-to)977-987
Number of pages11
JournalNonlinear Processes in Geophysics
Volume18
Issue number6
DOIs
StatePublished - Dec 1 2011

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Geophysics
  • Geochemistry and Petrology

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