Moment-based boundary conditions for lattice Boltzmann simulations of natural convection in cavities

Handle URI:
http://hdl.handle.net/10754/621562
Title:
Moment-based boundary conditions for lattice Boltzmann simulations of natural convection in cavities
Authors:
Allen, Rebecca; Reis, Tim
Abstract:
We study a multiple relaxation time lattice Boltzmann model for natural convection with moment-based boundary conditions. The unknown primary variables of the algorithm at a boundary are found by imposing conditions directly upon hydrodynamic moments, which are then translated into conditions for the discrete velocity distribution functions. The method is formulated so that it is consistent with the second order implementation of the discrete velocity Boltzmann equations for fluid flow and temperature. Natural convection in square cavities is studied for Rayleigh numbers ranging from 103 to 108. An excellent agreement with benchmark data is observed and the flow fields are shown to converge with second order accuracy. Copyright © 2016 Inderscience Enterprises Ltd.
KAUST Department:
Physical Sciences and Engineering (PSE) Division
Citation:
Allen R, Reis T (2016) Moment-based boundary conditions for lattice Boltzmann simulations of natural convection in cavities. Progress in Computational Fluid Dynamics, An International Journal 16: 216. Available: http://dx.doi.org/10.1504/PCFD.2016.077296.
Publisher:
Inderscience Publishers
Journal:
Progress in Computational Fluid Dynamics, An International Journal
Issue Date:
29-Jun-2016
DOI:
10.1504/PCFD.2016.077296
Type:
Article
ISSN:
1468-4349; 1741-5233
Sponsors:
R. Allen gratefully acknowledges the support of the university research fund from King Abdullah University of Science and Technology. This research was partially supported by Award No. KUK-C1-013-04 made by King Abdullah University of Science and Technology (KAUST). Support is acknowledged from the UK Consortium on Mesoscopic Engineering Sciences (UKCOMES) under EPSRC Grant No. EP/L00030X/1.
Appears in Collections:
Articles; Physical Sciences and Engineering (PSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorAllen, Rebeccaen
dc.contributor.authorReis, Timen
dc.date.accessioned2016-11-03T08:32:12Z-
dc.date.available2016-11-03T08:32:12Z-
dc.date.issued2016-06-29en
dc.identifier.citationAllen R, Reis T (2016) Moment-based boundary conditions for lattice Boltzmann simulations of natural convection in cavities. Progress in Computational Fluid Dynamics, An International Journal 16: 216. Available: http://dx.doi.org/10.1504/PCFD.2016.077296.en
dc.identifier.issn1468-4349en
dc.identifier.issn1741-5233en
dc.identifier.doi10.1504/PCFD.2016.077296en
dc.identifier.urihttp://hdl.handle.net/10754/621562-
dc.description.abstractWe study a multiple relaxation time lattice Boltzmann model for natural convection with moment-based boundary conditions. The unknown primary variables of the algorithm at a boundary are found by imposing conditions directly upon hydrodynamic moments, which are then translated into conditions for the discrete velocity distribution functions. The method is formulated so that it is consistent with the second order implementation of the discrete velocity Boltzmann equations for fluid flow and temperature. Natural convection in square cavities is studied for Rayleigh numbers ranging from 103 to 108. An excellent agreement with benchmark data is observed and the flow fields are shown to converge with second order accuracy. Copyright © 2016 Inderscience Enterprises Ltd.en
dc.description.sponsorshipR. Allen gratefully acknowledges the support of the university research fund from King Abdullah University of Science and Technology. This research was partially supported by Award No. KUK-C1-013-04 made by King Abdullah University of Science and Technology (KAUST). Support is acknowledged from the UK Consortium on Mesoscopic Engineering Sciences (UKCOMES) under EPSRC Grant No. EP/L00030X/1.en
dc.publisherInderscience Publishersen
dc.subjectLattice boltzmannen
dc.titleMoment-based boundary conditions for lattice Boltzmann simulations of natural convection in cavitiesen
dc.typeArticleen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.identifier.journalProgress in Computational Fluid Dynamics, An International Journalen
dc.contributor.institutionSchool of Computing and Mathematics, Plymouth University, Plymouth, United Kingdomen
kaust.authorAllen, Rebeccaen
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