Moment-based boundary conditions for lattice Boltzmann simulations of natural convection in cavities
Type
ArticleAuthors
Allen, RebeccaReis, Tim
KAUST Department
Earth Science and Engineering ProgramEnvironmental Science and Engineering Program
Physical Science and Engineering (PSE) Division
KAUST Grant Number
KUK-C1-013-04Date
2016-06-29Online Publication Date
2016-06-29Print Publication Date
2016Permanent link to this record
http://hdl.handle.net/10754/621562
Metadata
Show full item recordAbstract
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 Publishersae974a485f413a2113503eed53cd6c53
10.1504/PCFD.2016.077296