English

Analytical solutions of the lattice Boltzmann BGK model

comp-gas 2009-10-28 v1 Cellular Automata and Lattice Gases

Abstract

Analytical solutions of the two dimensional triangular and square lattice Boltzmann BGK models have been obtained for the plain Poiseuille flow and the plain Couette flow. The analytical solutions are written in terms of the characteristic velocity of the flow, the single relaxation time τ\tau and the lattice spacing. The analytic solutions are the exact representation of these two flows without any approximation.

Keywords

Cite

@article{arxiv.comp-gas/9501004,
  title  = {Analytical solutions of the lattice Boltzmann BGK model},
  author = {Qisu Zou and Shuling Hou and Gary D. Doolen},
  journal= {arXiv preprint arXiv:comp-gas/9501004},
  year   = {2009}
}

Comments

10 pages, no postscript figure provided