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

Junk, Michael; Yang, Zhaoxia

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

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Date

2009

Publication type

Journal article

Published in

Numerische Mathematik ; 112 (2009), 1. - pp. 65-87

Abstract

Combining an asymptotic analysis of the lattice Boltzmann method with a stability estimate, we are able to prove some convergence results which establish a strict relation to the incompressible Navier-Stokes equation. The proof applies to the lattice Boltzmann method in the case of periodic domains and for specific bounded domains if the Dirichlet boundary condition is realized with the bounce back rule.

Subject (DDC)

510 Mathematics

Cite This

ISO 690

JUNK, Michael, Zhaoxia YANG, 2009. Convergence of lattice Boltzmann methods for Navier-Stokes flows in periodic and bounded domains. In: Numerische Mathematik. 112(1), pp. 65-87. Available under: doi: 10.1007/s00211-008-0196-0

BibTex

@article{Junk2009Conve-827,
  year={2009},
  doi={10.1007/s00211-008-0196-0},
  title={Convergence of lattice Boltzmann methods for Navier-Stokes flows in periodic and bounded domains},
  number={1},
  volume={112},
  journal={Numerische Mathematik},
  pages={65--87},
  author={Junk, Michael and Yang, Zhaoxia}
}

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