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 |
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| Main Authors: | , |
| Format: | Article in Journal/Newspaper |
| Language: | English |
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AIP Publishing
2010
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| 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 |
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craippubl:10.1063/1.3278516 2024-06-23T07:47:41+00:00 The computation of finite-time Lyapunov exponents on unstructured meshes and for non-Euclidean manifolds Lekien, Francois Ross, Shane D. 2010 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 en eng AIP Publishing Chaos: An Interdisciplinary Journal of Nonlinear Science volume 20, issue 1 ISSN 1054-1500 1089-7682 journal-article 2010 craippubl https://doi.org/10.1063/1.3278516 2024-06-13T04:04:59Z 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. Article in Journal/Newspaper Antarc* Antarctic AIP Publishing Antarctic Möbius ENVELOPE(164.217,164.217,-74.633,-74.633) The Antarctic Chaos: An Interdisciplinary Journal of Nonlinear Science 20 1 |
| institution |
Open Polar |
| collection |
AIP Publishing |
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craippubl |
| language |
English |
| description |
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. |
| format |
Article in Journal/Newspaper |
| author |
Lekien, Francois Ross, Shane D. |
| spellingShingle |
Lekien, Francois Ross, Shane D. The computation of finite-time Lyapunov exponents on unstructured meshes and for non-Euclidean manifolds |
| author_facet |
Lekien, Francois Ross, Shane D. |
| author_sort |
Lekien, Francois |
| title |
The computation of finite-time Lyapunov exponents on unstructured meshes and for non-Euclidean manifolds |
| title_short |
The computation of finite-time Lyapunov exponents on unstructured meshes and for non-Euclidean manifolds |
| title_full |
The computation of finite-time Lyapunov exponents on unstructured meshes and for non-Euclidean manifolds |
| title_fullStr |
The computation of finite-time Lyapunov exponents on unstructured meshes and for non-Euclidean manifolds |
| title_full_unstemmed |
The computation of finite-time Lyapunov exponents on unstructured meshes and for non-Euclidean manifolds |
| title_sort |
computation of finite-time lyapunov exponents on unstructured meshes and for non-euclidean manifolds |
| publisher |
AIP Publishing |
| publishDate |
2010 |
| url |
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 |
| long_lat |
ENVELOPE(164.217,164.217,-74.633,-74.633) |
| geographic |
Antarctic Möbius The Antarctic |
| geographic_facet |
Antarctic Möbius The Antarctic |
| genre |
Antarc* Antarctic |
| genre_facet |
Antarc* Antarctic |
| op_source |
Chaos: An Interdisciplinary Journal of Nonlinear Science volume 20, issue 1 ISSN 1054-1500 1089-7682 |
| op_doi |
https://doi.org/10.1063/1.3278516 |
| container_title |
Chaos: An Interdisciplinary Journal of Nonlinear Science |
| container_volume |
20 |
| container_issue |
1 |
| _version_ |
1802651826430935040 |