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

Rebecca Allen, Tim Reis

Research output: Contribution to journalArticlepeer-review

15 Scopus citations


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.
Original languageEnglish (US)
Pages (from-to)216
JournalProgress in Computational Fluid Dynamics, An International Journal
Issue number4
StatePublished - Jun 29 2016

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): KUK-C1-013-04
Acknowledgements: 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.


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