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

• Main Authors: Lekien, Francois, Ross, Shane S.D.
• Format: Article in Journal/Newspaper
• Language: English
• Published: 2010
• Subjects: Mathématiques; Physique des phénomènes non linéaires; Physique statistique classique et relativiste; Autres mathématiques; Astronomie; Physique; Antarctic; Möbius; The Antarctic; Antarc*
• Online Access: http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/184749

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...