The computation of finite-time Lyapunov exponents on unstructured meshes and for non-Euclidean manifolds

• Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science
• Main Authors: Lekien, Francois, Ross, Shane D.
• Format: Article in Journal/Newspaper
• Language: English
• Published: AIP Publishing 2010
• Subjects: Antarctic; Möbius; The Antarctic; Antarc*
• Online Access: http://dx.doi.org/10.1063/1.3278516; https://pubs.aip.org/aip/cha/article-pdf/doi/10.1063/1.3278516/14600881/017505_1_online.pdf

We generalize the concepts of finite-time Lyapunov exponent (FTLE) and Lagrangian coherent structures to arbitrary Riemannian manifolds. The methods are illustrated for convection cells on cylinders and Möbius strips, as well as for the splitting of the Antarctic polar vortex in the spherical strato...