Exploring spiral defect chaos in generalized Swift-Hohenberg models with mean flow

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dc.contributor.authorKarimi, A.en
dc.contributor.authorHuang, Zhi-Fengen
dc.contributor.authorPaul, Mark R.en
dc.date.accessioned2024-10-09T13:55:11Zen
dc.date.available2024-10-09T13:55:11Zen
dc.date.issued2011-10-28en
dc.description.abstractWe explore the phenomenon of spiral defect chaos in two types of generalized Swift-Hohenberg model equations that include the effects of long-range drift velocity or mean flow. We use spatially extended domains and integrate the equations for very long times to study the pattern dynamics as the magnitude of the mean flow is varied. The magnitude of the mean flow is adjusted via a real and continuous parameter that accounts for the fluid boundary conditions on the horizontal surfaces in a convecting layer. For weak values of the mean flow, we find that the patterns exhibit a slow coarsening to a state dominated by large and very slowly moving target defects. For strong enough mean flow, we identify the existence of spatiotemporal chaos, which is indicated by a positive leading-order Lyapunov exponent. We compare the spatial features of the mean flow field with that of Rayleigh-Bénard convection and quantify their differences in the neighborhood of spiral defects. © 2011 American Physical Society.en
dc.description.versionPublished versionen
dc.format.extent8 page(s)en
dc.format.mimetypeapplication/pdfen
dc.identifierARTN 046215 (Article number)en
dc.identifier.doihttps://doi.org/10.1103/PhysRevE.84.046215en
dc.identifier.eissn1550-2376en
dc.identifier.issn1539-3755en
dc.identifier.issue4en
dc.identifier.orcidPaul, Mark [0000-0002-0701-1955]en
dc.identifier.pmid22181253en
dc.identifier.urihttps://hdl.handle.net/10919/121310en
dc.identifier.volume84en
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:000296536900001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=930d57c9ac61a043676db62af60056c1en
dc.relation.urihttp://dx.doi.org/10.1103/physreve.84.046215en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.titleExploring spiral defect chaos in generalized Swift-Hohenberg models with mean flowen
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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