Volume 18, Issue 2
On Initial Conditions for the Lattice Boltzmann Method

Juntao Huang and Hao Wu & Wen-An Yong

10.4208/cicp.040913.220115a

Commun. Comput. Phys., 18 (2015), pp. 450-468.

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  • Abstract

In this paper, we propose two initialization techniques for the lattice Boltzmann method. The first one is based on the theory of asymptotic analysis developed in [M. Junk and W.-A. Yong, Asymptotic Anal., 35(2003)]. By selecting consistent macroscopic quantities, this initialization leads to the second-order convergence for both velocity and pressure. Another one is an improvement of the consistent initial conditions proposed in [R. W. Mei, L.-S. Luo, P. Lallemand and D. d’Humi`eres, Comput. Fluids, 35(2006)]. The improvement involves a modification of the collision term and a reconstruction step. Numerical examples confirm the accuracy and efficiency of our techniques.

  • History

Published online: 2018-04

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