@Article{CiCP-18-450,
author = {Juntao Huang, Hao Wu and Wen-An Yong},
title = {On Initial Conditions for the Lattice Boltzmann Method},
journal = {Communications in Computational Physics},
year = {2018},
volume = {18},
number = {2},
pages = {450--468},
abstract = {<p style="text-align: justify;">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&#39;Humières, 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.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.040913.220115a},
url = {http://global-sci.org/intro/article_detail/cicp/11035.html}
}