LCS Tool: A Computational Platform for Lagrangian Coherent Structures

By Onu Kristjan, Huhn Florian, and Haller George
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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 centrepieces 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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Suggested citation

Onu K., Huhn F., and Haller G. (2015) LCS Tool: A Computational Platform for Lagrangian Coherent Structures. Journal of Computational Science, 7, 26-36.

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