Detecting barriers to transport: A review of different techniques
Chaotic Dynamics
2009-11-07 v1
Abstract
We review and discuss some different techniques for describing local dispersion properties in fluids. A recent Lagrangian diagnostics, based on the Finite Scale Lyapunov Exponent (FSLE), is presented and compared to the Finite Time Lyapunov Exponent (FTLE), and to the Okubo-Weiss (OW) and Hua-Klein (HK) criteria. We show that the OW and HK are a limiting case of the FTLE, and that the FSLE is the most efficient method for detecting the presence of cross-stream barriers. We illustrate our findings by considering two examples of geophysical interest: a kinematic meandering jet model, and Lagrangian tracers advected by stratospheric circulation.
Keywords
Cite
@article{arxiv.nlin/0102022,
title = {Detecting barriers to transport: A review of different techniques},
author = {G. Boffetta and G. Lacorata and G. Redaelli and A. Vulpiani},
journal= {arXiv preprint arXiv:nlin/0102022},
year = {2009}
}
Comments
15 pages, 9 figures, submitted to Physica D