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

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    Type
    Article
    Authors
    Allen, Rebecca
    Reis, Tim
    KAUST Department
    Earth Science and Engineering Program
    Environmental Science and Engineering Program
    Physical Science and Engineering (PSE) Division
    KAUST Grant Number
    KUK-C1-013-04
    Date
    2016-06-29
    Online Publication Date
    2016-06-29
    Print Publication Date
    2016
    Permanent link to this record
    http://hdl.handle.net/10754/621562
    
    Metadata
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    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.
    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.
    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.
    Publisher
    Inderscience Publishers
    Journal
    Progress in Computational Fluid Dynamics, An International Journal
    DOI
    10.1504/PCFD.2016.077296
    ae974a485f413a2113503eed53cd6c53
    10.1504/PCFD.2016.077296
    Scopus Count
    Collections
    Articles; Environmental Science and Engineering Program; Physical Science and Engineering (PSE) Division; Earth Science and Engineering Program

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