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Using the lid-driven cavity flow to validate moment-based boundary conditions for the Lattice Boltzmann Equation

Using the lid-driven cavity flow to validate moment-based boundary conditions for the Lattice Boltzmann Equation

Mohammed, Seemaa and Reis, Tim ORCID: 0000-0003-2671-416X (2017) Using the lid-driven cavity flow to validate moment-based boundary conditions for the Lattice Boltzmann Equation. Archive of Mechanical Engineering, 64 (1). ISSN 2300-1895 (doi:https://doi.org/10.1515/meceng-2017-0004)

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Abstract

The accuracy of the Moment Method for imposing no-slip boundary conditions in the lattice Boltzmann algorithm is investigated numerically using lid-driven cavity flow. Boundary conditions are imposed directly upon the hydrodynamic moments of the lattice Boltzmann equations, rather than the distribution functions, to ensure the constraints are satisfied precisely at grid points. Both single and multiple relaxation time models are applied. The results are in excellent agreement with data obtained from state-of-the-art numerical methods and are shown to converge with second order accuracy in grid spacing.

Item Type: Article
Additional Information: © 2017 Seemaa Mohammed et al., published by De Gruyter Open. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.
Uncontrolled Keywords: Lattice Boltzmann equation, Moment-based boundary conditions, Multiple relaxation times
Subjects: Q Science > QA Mathematics
Faculty / Department / Research Group: Faculty of Architecture, Computing & Humanities
Faculty of Architecture, Computing & Humanities > Department of Mathematical Sciences
Last Modified: 09 Jul 2018 13:21
Selected for GREAT 2016: None
Selected for GREAT 2017: None
Selected for GREAT 2018: None
Selected for GREAT 2019: None
URI: http://gala.gre.ac.uk/id/eprint/16934

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