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Convergence of lattice Boltzmann methods for Stokes flows in periodic and bounded domains

✍ Scribed by Michael Junk; Zhaoxia Yang

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
292 KB
Volume
55
Category
Article
ISSN
0898-1221

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✦ Synopsis

Combining an asymptotic analysis of the lattice Boltzmann method [M. Junk, Z. Yang, Asymptotic analysis of lattice Boltzmann boundary conditions, J. Stat. Phys. 121 (2005) 3-35] with the stability estimate presented in [M. Junk, W.-A. Yong, Weighted L 2 stability of the lattice Boltzmann equation, Preprint], we are able to prove some strict convergence results. The proof applies to the lattice Boltzmann method with linear collision operator both in the case of periodic domains and bounded domains if the Dirichlet boundary condition is realized with the bounce back rule.

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