Detecting barriers to transport: a review of different techniques
By Guido Boffetta, G. Lacorata, G. Redaelli, Angelo Vulpiani. 2001
189 citations recorded by the source corpus.
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), to the Okubo–Weiss (OW) and Hua–Klein (HK) criteria. We show that the OW and HK are the 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 model of a meandering jet, and Lagrangian tracers advected by stratospheric circulation.
Subfields: Computational Mechanics, Oceanography, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/8e0539b96b466d047cc43dd4c512149e29182af4
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Computational Mechanics
- E. García-Ladona
- J. Isern‐Fontanet
- G. Haller
- Gary Froyland
- Jerrold E. Marsden
- Francois Lekien
- Karen Mulleners
- Markus Raffel
In Oceanography
In Statistical and Nonlinear Physics
- G. Haller
- Jerrold E. Marsden
- Gary Froyland
- Francois Lekien
- Karen Mulleners
- Markus Raffel
- Shawn C. Shadden
- Clarence W. Rowley
Citations in the corpus
- Lagrangian Coherent Structures (2015, background): “Abbreviation: KAM, Kolmogorov-Arnold-Moser. approach are given by Provenzale (1999), Boffetta et al. (2001), Jones & Winkler (2002), Peacock & Dabiri (2010), and Samelson (2013).”
- Comparison between Eulerian diagnostics and finite-size Lyapunov exponents computed from altimetry in the Algerian basin (2008, background): “…tion -either backward or forward in time- respectively as the unstable and stable manifolds205 of the hyperbolic points in the flow (Haller and Yuan, 2000; Boffetta et al., 2001; Haller,206 2001; Koh and Legras, 2002; Joseph and Legras, 2002; d’Ovidio et al., 2004; Mancho et al.,207 2006).”