Length scale of a chaotic element in Rayleigh-Benard convection

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dc.contributor.authorKarimi, A.en
dc.contributor.authorPaul, Mark R.en
dc.date.accessioned2024-10-09T14:05:44Zen
dc.date.available2024-10-09T14:05:44Zen
dc.date.issued2012-12-20en
dc.description.abstractWe describe an approach to quantify the length scale of a chaotic element of a Rayleigh-Bénard convection layer exhibiting spatiotemporal chaos. The length scale of a chaotic element is determined by simultaneously evolving the dynamics of two convection layers with a unidirectional coupling that involves only the time-varying values of the fluid velocity and temperature on the lateral boundaries of the domain. In our results we numerically simulate the full Boussinesq equations for the precise conditions of experiment. By varying the size of the boundary used for the coupling we identify a length scale that describes the size of a chaotic element. The length scale of the chaotic element is of the same order of magnitude, and exhibits similar trends, as the natural chaotic length scale that is based upon the fractal dimension. © 2012 American Physical Society.en
dc.description.versionPublished versionen
dc.format.extent5 page(s)en
dc.format.mimetypeapplication/pdfen
dc.identifierARTN 066212 (Article number)en
dc.identifier.doihttps://doi.org/10.1103/PhysRevE.86.066212en
dc.identifier.eissn2470-0053en
dc.identifier.issn2470-0045en
dc.identifier.issue6en
dc.identifier.orcidPaul, Mark [0000-0002-0701-1955]en
dc.identifier.other059JXen
dc.identifier.pmid23368029en
dc.identifier.urihttps://hdl.handle.net/10919/121317en
dc.identifier.volume86en
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:000312702500002&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=930d57c9ac61a043676db62af60056c1en
dc.relation.urihttp://dx.doi.org/10.1103/physreve.86.066212en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.titleLength scale of a chaotic element 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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