The computation of finite-time Lyapunov exponents on unstructured meshes and for non-Euclidean manifolds
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...
| Published in: | Chaos: An Interdisciplinary Journal of Nonlinear Science |
|---|---|
| Main Authors: | , |
| Format: | Article in Journal/Newspaper |
| Language: | English |
| Published: |
AIP Publishing
2010
|
| Subjects: | |
| 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 |
| Summary: | 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 stratosphere and a related point vortex model. We modify the FTLE computational method and accommodate unstructured meshes of triangles and tetrahedra to fit manifolds of arbitrary shape, as well as to facilitate dynamic refinement of the FTLE mesh. |
|---|