Analytical solution for the lattice Boltzmann model beyond Naviers-Stokes

Meng, Jianping and Zhang, Yonghao (2010) Analytical solution for the lattice Boltzmann model beyond Naviers-Stokes. Advances in Applied Mathematics and Mechanics, 2 (5). pp. 670-676. ISSN 2070-0733 (https://doi.org/10.4208/aamm.10-10S09)

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Abstract

To understand lattice Boltzmann model capability for capturing nonequilibrium effects, the model with first-order expansion of the equilibrium distribution function is analytically investigated. In particular, the velocity profile of Couette flows is exactly obtained for the D2Q9 model, which shows retaining the first order expansion can capture rarefaction effects in the incompressible limit. Meanwhile, it clearly demonstrates that the D2Q9 model is not able to reflect flow characteristics in the Knudsen layer.

ORCID iDs

Zhang, Yonghao ORCID: https://orcid.org/0000-0002-0683-7050

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• Item metadata

  Item type:	Article
  ID code:	26948
  Dates:	Date Event 31 October 2010 Published 13 July 2010 Published Online 12 April 2010 Accepted
  Subjects:	Technology > Mechanical engineering and machinery Science > Mathematics
  Department:	Faculty of Engineering > Mechanical and Aerospace Engineering
  Depositing user:	Ms Katrina May
  Date deposited:	30 Aug 2010 12:32
  Last modified:	12 Dec 2024 02:32
  Related URLs:	Scopus publication
  URI:	https://strathprints.strath.ac.uk/id/eprint/26948