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arXiv · 1406.3527

LCS Tool : A Computational Platform for Lagrangian Coherent Structures

K. Onu·F. Huhn·G. Haller
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Abstract

We give an algorithmic introduction to Lagrangian coherent structures (LCSs) using a newly developed computational engine, LCS Tool. LCSs are most repelling, attracting and shearing material lines that form the centerpieces of observed tracer patterns in two-dimensional unsteady dynamical systems. LCS Tool implements the latest geodesic theory of LCSs for two-dimensional flows, uncovering key transport barriers in unsteady flow velocity data as explicit solutions of differential equations. After a review of the underlying theory, we explain the steps and numerical methods used by LCS Tool, and illustrate its capabilities on three unsteady fluid flow examples.

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BibTeXRIS

K. Onu, F. Huhn, G. Haller. 2014-06-13. LCS Tool : A Computational Platform for Lagrangian Coherent Structures. https://doi.org/10.1016/j.jocs.2014.12.002

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