Connection Between Lattice-Boltzmann Equation and Beam Scheme

Kun Xu () and Li-Shi Luo ()
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Kun Xu: Department of Mathematics, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong, P.R. China
Li-Shi Luo: ICASE, Mail Stop 403, NASA Langley Research Center, 6 North Dryden Street, Bldg 1298 Hampton, Virginia 23681-0001, USA

International Journal of Modern Physics C (IJMPC), 1998, vol. 09, issue 08, 1177-1187

Abstract: In this paper we analyze and compare the lattice-Boltzmann equation with the beam scheme in detail. We notice the similarity and differences between the lattice Boltzmann equation and the beam scheme. We show that the accuracy of the lattice-Boltzmann equation is indeed second order in space. We discuss the advantages and limitations of the lattice-Boltzmann equation and the beam scheme. Based on our analysis, we propose an improved multi-dimensional beam scheme.

Keywords: Lattice-Boltzmann Method; Beam Scheme; Finite Difference and Finite Element Methods (search for similar items in EconPapers)
Date: 1998
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DOI: 10.1142/S0129183198001072

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