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

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dc.contributorVirginia Techen
dc.contributor.authorLekien, F.en
dc.contributor.authorRoss, Shane D.en
dc.contributor.departmentBiomedical Engineering and Mechanicsen
dc.date.accessed2013-11-20en
dc.date.accessioned2013-12-04T14:59:22Zen
dc.date.available2013-12-04T14:59:22Zen
dc.date.issued2010-03-01en
dc.description.abstractWe 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 Moumlbius 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.en
dc.format.mimetypeapplication/pdfen
dc.identifier.citationLekien, Francois and Ross, Shane D., “The computation of finite-time Lyapunov exponents on unstructured meshes and for non-Euclidean manifolds,” Chaos 20, 017505 (2010), DOI:http://dx.doi.org/10.1063/1.3278516en
dc.identifier.doihttps://doi.org/10.1063/1.3278516en
dc.identifier.issn1054-1500en
dc.identifier.urihttp://hdl.handle.net/10919/24401en
dc.identifier.urlhttp://scitation.aip.org/content/aip/journal/chaos/20/1/10.1063/1.3278516en
dc.language.isoen_USen
dc.publisherAmerican Institute of Physicsen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectLagrangian coherent structuresen
dc.subjectRayleigh-bénard convectionen
dc.subjectN-vortex prblemen
dc.subjectInvariant manifoldsen
dc.subjectPolar vortexen
dc.subject2-dimensional mapsen
dc.subjectChaotic advectionen
dc.subjectAperiodic flowsen
dc.subjectRotating sphereen
dc.subjectPoint vorticesen
dc.titleThe computation of finite-time Lyapunov exponents on unstructured meshes and for non-Euclidean manifoldsen
dc.title.serialChaosen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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