Quantifying spatiotemporal chaos in Rayleigh-Benard convection

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dc.contributor.authorKarimi, A.en
dc.contributor.authorPaul, Mark R.en
dc.date.accessioned2024-10-09T14:05:53Zen
dc.date.available2024-10-09T14:05:53Zen
dc.date.issued2012-04-02en
dc.description.abstractUsing large-scale parallel numerical simulations we explore spatiotemporal chaos in Rayleigh-Bénard convection in a cylindrical domain with experimentally relevant boundary conditions. We use the variation of the spectrum of Lyapunov exponents and the leading-order Lyapunov vector with system parameters to quantify states of high-dimensional chaos in fluid convection. We explore the relationship between the time dynamics of the spectrum of Lyapunov exponents and the pattern dynamics. For chaotic dynamics we find that all of the Lyapunov exponents are positively correlated with the leading-order Lyapunov exponent, and we quantify the details of their response to the dynamics of defects. The leading-order Lyapunov vector is used to identify topological features of the fluid patterns that contribute significantly to the chaotic dynamics. Our results show a transition from boundary-dominated dynamics to bulk-dominated dynamics as the system size is increased. The spectrum of Lyapunov exponents is used to compute the variation of the fractal dimension with system parameters to quantify how the underlying high-dimensional strange attractor accommodates a range of different chaotic dynamics.en
dc.description.versionPublished versionen
dc.format.extent9 page(s)en
dc.format.mimetypeapplication/pdfen
dc.identifierARTN 046201 (Article number)en
dc.identifier.doihttps://doi.org/10.1103/PhysRevE.85.046201en
dc.identifier.eissn1550-2376en
dc.identifier.issn1539-3755en
dc.identifier.issue4en
dc.identifier.orcidPaul, Mark [0000-0002-0701-1955]en
dc.identifier.pmid22680550en
dc.identifier.urihttps://hdl.handle.net/10919/121319en
dc.identifier.volume85en
dc.language.isoenen
dc.publisherAmerican Physical Societyen
dc.relation.urihttp://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000302408800002&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=930d57c9ac61a043676db62af60056c1en
dc.relation.urihttp://dx.doi.org/10.1103/physreve.85.046201en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.titleQuantifying spatiotemporal chaos in Rayleigh-Benard convectionen
dc.title.serialPhysical Review Een
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten
dc.type.otherArticleen
dc.type.otherJournalen
pubs.organisational-groupVirginia Techen
pubs.organisational-groupVirginia Tech/Engineeringen
pubs.organisational-groupVirginia Tech/Engineering/Mechanical Engineeringen
pubs.organisational-groupVirginia Tech/All T&R Facultyen
pubs.organisational-groupVirginia Tech/Engineering/COE T&R Facultyen

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