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Moment-based boundary conditions for straight on-grid boundaries in three dimensional lattice Boltzmann simulations

Moment-based boundary conditions for straight on-grid boundaries in three dimensional lattice Boltzmann simulations

Krastins, Ivars, Kao, Andrew ORCID: 0000-0002-6430-2134, Pericleous, Koulis ORCID: 0000-0002-7426-9999 and Reis, Timothy ORCID: 0000-0003-2671-416X (2020) Moment-based boundary conditions for straight on-grid boundaries in three dimensional lattice Boltzmann simulations. International Journal for Numerical Methods in Fluids. ISSN 0271-2091 (Print), 1097-0363 (Online) (In Press) (doi:https://doi.org/10.1002/fld.4856)

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Abstract

In this article, moment‐based boundary conditions for the lattice Boltzmann method are extended to three dimensions. Boundary conditions for velocity and pressure are explicitly derived for straight on‐grid boundaries for the D3Q19 lattice. The method is compared against the bounce‐back scheme using both single and two relaxation time collision schemes. The method is verified using classical benchmark test cases. The results show very good agreement with the data found in the literature. It is confirmed from the results that the derived moment‐based boundary scheme is of second‐order accuracy in grid spacing and does not produce numerical slip, and therefore offers a transparent way of accurately prescribing velocity and pressure boundaries that are aligned with grid points in three‐dimensional.

Item Type: Article
Additional Information: © 2020 The Authors. International Journal for Numerical Methods in Fluids published by John Wiley & Sons, Ltd. This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.
Uncontrolled Keywords: lattice Boltzmann, moment-based boundary conditions, D3Q19, two relaxation times
Subjects: Q Science > QA Mathematics
Faculty / Department / Research Group: Faculty of Liberal Arts & Sciences
Faculty of Liberal Arts & Sciences > Centre for Numerical Modelling & Process Analysis (CNMPA)
Faculty of Liberal Arts & Sciences > Centre for Numerical Modelling & Process Analysis (CNMPA) > Computational Science & Engineering Group (CSEG)
Faculty of Liberal Arts & Sciences > School of Computing and Mathematical Sciences
Last Modified: 08 Jun 2020 06:17
Selected for GREAT 2016: None
Selected for GREAT 2017: None
Selected for GREAT 2018: None
Selected for GREAT 2019: None
Selected for REF2021: REF 6
URI: http://gala.gre.ac.uk/id/eprint/28153

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