TY - JOUR
T1 - On Initial Conditions for the Lattice Boltzmann Method
JO - Communications in Computational Physics
VL - 2
SP - 450
EP - 468
PY - 2018
DA - 2018/04
SN - 18
DO - http://doi.org/10.4208/cicp.040913.220115a
UR - https://global-sci.org/intro/article_detail/cicp/11035.html
KW - 
AB - <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>