Journal of Statistical Physics

, Volume 121, Issue 1–2, pp 3–35 | Cite as

Asymptotic Analysis of Lattice Boltzmann Boundary Conditions

  • Michael Junk
  • Zhaoxia Yang


In this article, we use a general method for the analysis of finite difference schemes to investigate lattice Boltzmann algorithms for Navier–Stokes problems with Dirichlet boundary conditions. Several link based boundary conditions for commonly used lattice Boltzmann BGK models are considered. With our method, the accuracy of the algorithms can be exactly predicted. Moreover, the analytical results can be used to construct new algorithms which is demonstrated with a corrected bounce back rule that requires only local evaluations but still yields second order accuracy for the velocity. The analysis is applicable to general geometries and instationary flows


lattice Boltzmann equation bounce back rule asymptotic analysis incompressible Navier–Stokes equation Dirichlet boundary conditions 


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Copyright information

© Springer Science+Business Media, Inc. 2005

Authors and Affiliations

  1. 1.FB MathematikUniversität des SaarlandesSaarbrückenGermany

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