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Burnett order stress and spatially-dependent boundary conditions for the lattice Boltzmann method

Burnett order stress and spatially-dependent boundary conditions for the lattice Boltzmann method

Reis, Timothy ORCID: 0000-0003-2671-416X (2019) Burnett order stress and spatially-dependent boundary conditions for the lattice Boltzmann method. Communications in Computational Physics, 27 (1). pp. 167-197. ISSN 1815-2406 (Print), 1991-7120 (Online) (doi:https://doi.org/10.4208/cicp.OA-2018-0229)

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Abstract

Stress boundary conditions for the lattice Boltzmann equation that are consistent to Burnett order are proposed and imposed using a moment-based method. The accuracy of the method with complicated spatially-dependent boundary conditions for stress and velocity is investigated using the regularized lid-driven cavity flow. The complete set of boundary conditions, which involve gradients evaluated at the boundaries, are implemented locally. A recently-derived collision operator with modified equilibria and velocity-dependent collision rates to reduce the defect in Galilean invariance is also investigated. Numerical results are in excellent agreement with existing benchmark data and exhibit second-order convergence. The lattice Boltzmann stress field is studied and shown to depart significantly from the Newtonian viscous stress when the ratio of Mach to Reynolds numbers is not negligibly small.

Item Type: Article
Uncontrolled Keywords: Lattice Boltzmann method, moment based boundary conditions, Burnett stress, regularized cavity
Subjects: Q Science > QA Mathematics
Faculty / Department / Research Group: Faculty of Liberal Arts & Sciences
Faculty of Liberal Arts & Sciences > Department of Mathematical Sciences
Related URLs:
Last Modified: 10 Oct 2019 08:42
Selected for GREAT 2016: None
Selected for GREAT 2017: None
Selected for GREAT 2018: None
Selected for GREAT 2019: GREAT 2
URI: http://gala.gre.ac.uk/id/eprint/24324

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