Lattice Boltzmann method for linear oscillatory noncontinuum flows

Shi, Yong and Yap, Ying Wan and Sader, John E. (2014) Lattice Boltzmann method for linear oscillatory noncontinuum flows. Physical Review E, 89 (3). 033305/1-033305/11. ISSN 2470-0053

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Abstract

Oscillatory gas flows are commonly generated by micro- and nanoelectromechanical systems. Due to their small size and high operating frequencies, these devices often produce noncontinuum gas flows. Theoretical analysis of such flows requires solution of the unsteady Boltzmann equation, which can present a formidable challenge. In this article, we explore the applicability of the lattice Boltzmann (LB) method to such linear oscillatory noncontinuum flows; this method is derived from the linearized Boltzmann Bhatnagar-Gross-Krook (BGK) equation. We formulate four linearized LB models in the frequency domain, based on Gaussian-Hermite quadratures of different algebraic precision (AP). The performance of each model is assessed by comparison to high-accuracy numerical solutions to the linearized Boltzmann-BGK equation for oscillatory Couette flow. The numerical results demonstrate that high even-order LB models provide superior performance over the greatest noncontinuum range. Our results also highlight intrinsic deficiencies in the current LB framework, which is incapable of capturing noncontinuum behavior at high oscillation frequencies, regardless of quadrature AP and the Knudsen number.

Item Type: Article
Additional Information: ©2014 American Physical Society
Schools/Departments: University of Nottingham Ningbo China > Faculty of Science and Engineering > Department of Mechanical, Materials and Manufacturing Engineering
Identification Number: 10.1103/PhysRevE.89.033305
Depositing User: LIN, Zhiren
Date Deposited: 16 Oct 2017 08:55
Last Modified: 16 Oct 2017 08:55
URI: http://eprints.nottingham.ac.uk/id/eprint/47279

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