The relaxation of two-dimensional rolls in Rayleigh-Benard convection

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dc.contributor.authorPaul, Mark R.en
dc.contributor.authorCatton, I.en
dc.date.accessioned2024-10-09T13:55:05Zen
dc.date.available2024-10-09T13:55:05Zen
dc.date.issued2004-05-01en
dc.description.abstractLarge aspect ratio, two-dimensional, periodic convection layers containing a Boussinesq fluid of finite Prandtl number bounded by rigid or free horizontal surfaces are investigated numerically. The fluid equations are solved using both a standard pseudospectral and a Fourier integral method for the time evolution of finite initial perturbations, both random thermal perturbations and localized roll disturbances, into a final equilibrium state. The suggestion that a Fourier integral solution method is required to yield roll relaxation, the two-dimensional process increasing the convection wavelength to values larger than critical, is investigated. Roll relaxation is found for both free-slip and no-slip surfaces using either solution method as long as the initial state is chosen to be of the form of a localized roll disturbance. A wide variety of simulations are performed and roll relaxation is found to be independent of the periodic domain length, weakly dependent on the Rayleigh number and dependent upon the magnitude of the initial localized roll disturbances.en
dc.description.versionPublished versionen
dc.format.extentPages 1262-1266en
dc.format.extent5 page(s)en
dc.format.mimetypeapplication/pdfen
dc.identifier.doihttps://doi.org/10.1063/1.1669335en
dc.identifier.eissn1089-7666en
dc.identifier.issn1070-6631en
dc.identifier.issue5en
dc.identifier.orcidPaul, Mark [0000-0002-0701-1955]en
dc.identifier.urihttps://hdl.handle.net/10919/121309en
dc.identifier.volume16en
dc.language.isoenen
dc.publisherAmerican Institute of Physicsen
dc.relation.urihttp://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000220832600012&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=930d57c9ac61a043676db62af60056c1en
dc.relation.urihttp://dx.doi.org/10.1063/1.1669335en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.titleThe relaxation of two-dimensional rolls in Rayleigh-Benard convectionen
dc.title.serialPhysics of Fluidsen
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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