LCS Tool : A Computational Platform for Lagrangian Coherent Structures
Chaotic Dynamics
2016-04-12 v1
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.
Cite
@article{arxiv.1406.3527,
title = {LCS Tool : A Computational Platform for Lagrangian Coherent Structures},
author = {K. Onu and F. Huhn and G. Haller},
journal= {arXiv preprint arXiv:1406.3527},
year = {2016}
}