Lattice Boltzmann method for linear oscillatory noncontinuum flows
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 pre...
| Main Authors: | , , |
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| Format: | Article |
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American Physical Society
2014
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| Online Access: | https://eprints.nottingham.ac.uk/47279/ |
| _version_ | 1848797506666758144 |
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| author | Shi, Yong Yap, Ying Wan Sader, John E. |
| author_facet | Shi, Yong Yap, Ying Wan Sader, John E. |
| author_sort | Shi, Yong |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T20:04:58Z |
| format | Article |
| id | nottingham-47279 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T20:04:58Z |
| publishDate | 2014 |
| publisher | American Physical Society |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-472792020-05-04T16:44:55Z https://eprints.nottingham.ac.uk/47279/ Lattice Boltzmann method for linear oscillatory noncontinuum flows Shi, Yong Yap, Ying Wan Sader, John E. 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. American Physical Society 2014-03-12 Article PeerReviewed Shi, Yong, 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 https://doi.org/10.1103/PhysRevE.89.033305 doi:10.1103/PhysRevE.89.033305 doi:10.1103/PhysRevE.89.033305 |
| spellingShingle | Shi, Yong Yap, Ying Wan Sader, John E. Lattice Boltzmann method for linear oscillatory noncontinuum flows |
| title | Lattice Boltzmann method for linear oscillatory noncontinuum flows |
| title_full | Lattice Boltzmann method for linear oscillatory noncontinuum flows |
| title_fullStr | Lattice Boltzmann method for linear oscillatory noncontinuum flows |
| title_full_unstemmed | Lattice Boltzmann method for linear oscillatory noncontinuum flows |
| title_short | Lattice Boltzmann method for linear oscillatory noncontinuum flows |
| title_sort | lattice boltzmann method for linear oscillatory noncontinuum flows |
| url | https://eprints.nottingham.ac.uk/47279/ https://eprints.nottingham.ac.uk/47279/ https://eprints.nottingham.ac.uk/47279/ |