Article ID Journal Published Year Pages File Type
470069 Computers & Mathematics with Applications 2008 11 Pages PDF
Abstract

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 L2L2 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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