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...
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ftunivbruxelles:oai:dipot.ulb.ac.be:2013/184749 2023-05-15T13:46:28+02:00 The computation of finite-time Lyapunov exponents on unstructured meshes and for non-Euclidean manifolds Lekien, Francois Ross, Shane S.D. 2010-03 No full-text files http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/184749 en eng uri/info:doi/10.1063/1.3278516 uri/info:scp/77953560362 http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/184749 Chaos, 20 (1 Mathématiques Physique des phénomènes non linéaires Physique statistique classique et relativiste Autres mathématiques Astronomie Physique info:eu-repo/semantics/article info:ulb-repo/semantics/articlePeerReview info:ulb-repo/semantics/openurl/article 2010 ftunivbruxelles 2022-06-12T21:01:56Z 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. © 2010 American Institute of Physics. SCOPUS: ar.j info:eu-repo/semantics/published Article in Journal/Newspaper Antarc* Antarctic DI-fusion : dépôt institutionnel de l'Université libre de Bruxelles (ULB) Antarctic Möbius ENVELOPE(164.217,164.217,-74.633,-74.633) The Antarctic |
institution |
Open Polar |
collection |
DI-fusion : dépôt institutionnel de l'Université libre de Bruxelles (ULB) |
op_collection_id |
ftunivbruxelles |
language |
English |
topic |
Mathématiques Physique des phénomènes non linéaires Physique statistique classique et relativiste Autres mathématiques Astronomie Physique |
spellingShingle |
Mathématiques Physique des phénomènes non linéaires Physique statistique classique et relativiste Autres mathématiques Astronomie Physique Lekien, Francois Ross, Shane S.D. The computation of finite-time Lyapunov exponents on unstructured meshes and for non-Euclidean manifolds |
topic_facet |
Mathématiques Physique des phénomènes non linéaires Physique statistique classique et relativiste Autres mathématiques Astronomie Physique |
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. © 2010 American Institute of Physics. SCOPUS: ar.j info:eu-repo/semantics/published |
format |
Article in Journal/Newspaper |
author |
Lekien, Francois Ross, Shane S.D. |
author_facet |
Lekien, Francois Ross, Shane S.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 |
publishDate |
2010 |
url |
http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/184749 |
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, 20 (1 |
op_relation |
uri/info:doi/10.1063/1.3278516 uri/info:scp/77953560362 http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/184749 |
_version_ |
1766243057946066944 |