Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
470069 | Computers & Mathematics with Applications | 2008 | 11 Pages |
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.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Michael Junk, Zhaoxia Yang,