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A Lattice Boltzmann method with moment-based boundary conditions for rarefied flow in the slip regime

A Lattice Boltzmann method with moment-based boundary conditions for rarefied flow in the slip regime

Mohammed, S. and Reis, T. ORCID: 0000-0003-2671-416X (2021) A Lattice Boltzmann method with moment-based boundary conditions for rarefied flow in the slip regime. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. ISSN 1539-3755 (Print), 1550-2376 (Online) (In Press)

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Abstract

A lattice Boltzmann method with moment-based boundary conditions is used to compute flow in the slip regime. Navier-Maxwell slip conditions and Burnett-order stress conditions that are consistent with the discrete velocity Boltzmann equation are imposed locally on stationary and moving boundaries. Micro Couette and micro lid driven driven cavity flows are studied numerically at Knudsen and Mach numbers of the order 10^{-1}. The Couette results for velocity and the deviatoric stress at second order in Knudsen number are in excellent agreement with analytical solutions and the cavity results are in excellent agreement with existing data. The algorithm is shown to compute nonequilibrium effects in the pressure that are in very good agreement with DSMC simulations of the Boltzmann equation but not captured by the Navier-Stokes equations

Item Type: Article
Uncontrolled Keywords: Lattice Boltzmann, slip flow regime, moment-based boundary conditions
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Faculty / School / Research Centre / 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 & Mathematical Sciences (CMS)
Last Modified: 20 Sep 2021 11:10
Selected for GREAT 2016: None
Selected for GREAT 2017: None
Selected for GREAT 2018: None
Selected for GREAT 2019: None
Selected for REF2021: None
URI: http://gala.gre.ac.uk/id/eprint/33805

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