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dc.contributor.authorRadtke, Gregg A.
dc.contributor.authorHadjiconstantinou, Nicolas
dc.date.accessioned2010-02-02T17:54:39Z
dc.date.available2010-02-02T17:54:39Z
dc.date.issued2009-05
dc.date.submitted2009-04
dc.identifier.issn1550-2376
dc.identifier.issn1539-3755
dc.identifier.urihttp://hdl.handle.net/1721.1/51324
dc.description.abstractWe present an efficient variance-reduced particle simulation technique for solving the linearized Boltzmann transport equation in the relaxation-time approximation used for phonon, electron, and radiative transport, as well as for kinetic gas flows. The variance reduction is achieved by simulating only the deviation from equilibrium. We show that in the limit of small deviation from equilibrium of interest here, the proposed formulation achieves low relative statistical uncertainty that is also independent of the magnitude of the deviation from equilibrium, in stark contrast to standard particle simulation methods. Our results demonstrate that a space-dependent equilibrium distribution improves the variance reduction achieved, especially in the collision-dominated regime where local equilibrium conditions prevail. We also show that by exploiting the physics of relaxation to equilibrium inherent in the relaxation-time approximation, a very simple collision algorithm with a clear physical interpretation can be formulated.en
dc.description.sponsorshipSingapore-MIT Allianceen
dc.language.isoen_US
dc.publisherAmerican Physical Societyen
dc.relation.isversionofhttp://dx.doi.org/10.1103/PhysRevE.79.056711en
dc.rightsArticle is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.en
dc.sourceAPSen
dc.titleVariance-reduced particle simulation of the Boltzmann transport equation in the relaxation-time approximationen
dc.typeArticleen
dc.identifier.citationRadtke, Gregg A., and Nicolas G. Hadjiconstantinou. “Variance-reduced particle simulation of the Boltzmann transport equation in the relaxation-time approximation.” Physical Review E 79.5 (2009): 056711.(C) 2010 The American Physical Society.en
dc.contributor.departmentMassachusetts Institute of Technology. Department of Mechanical Engineeringen_US
dc.contributor.approverHadjiconstantinou, Nicolas
dc.contributor.mitauthorRadtke, Gregg A.
dc.contributor.mitauthorHadjiconstantinou, Nicolas
dc.relation.journalPhysical Review Een
dc.eprint.versionFinal published versionen
dc.type.urihttp://purl.org/eprint/type/JournalArticleen
eprint.statushttp://purl.org/eprint/status/PeerRevieweden
dspace.orderedauthorsRadtke, Gregg; Hadjiconstantinou, Nicolasen
dc.identifier.orcidhttps://orcid.org/0000-0002-1670-2264
mit.licensePUBLISHER_POLICYen


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