@Article{CiCP-21-443,
author = {Liangqi Zhang, Zhong Zeng, Haiqiong Xie, Zhouhua Qiu, Liping Yao, Yongxiang Zhang and Yiyu Lu},
title = {An Alternative Lattice Boltzmann Model for Incompressible Flows and Its Stabilization},
journal = {Communications in Computational Physics},
year = {2018},
volume = {21},
number = {2},
pages = {443--465},
abstract = {<p style="text-align: justify;">In this paper, an alternative lattice Boltzmann (LB) model for incompressible
flows is proposed. By modifying directly the moments of the equilibrium distribution
function (EDF), the continuous expression of the EDF in tensor Hermite polynomials
is derived using the moment expansion and then discretized with the discrete velocity
vectors of the D2Q9 lattice. The present model as well as its counterpart, the incompressible
LB model proposed by Guo, reproduces the incompressible Navier-Stokes
(N-S) equations for both steady and unsteady flows. Besides, an alternative pressure
formula, which represents the pressure as the diagonal part of the stress tensor, is
adopted in the present model. Furthermore, in order to enhance the stability of the
present LB model, an additional relaxation time pertaining to the non-hydrodynamic
mode is added to the BGK collision operator. The present LB model is validated by
two benchmark tests: the cavity flow with different Reynolds number (Re) and the
flow past an impulsively started cylinder at Re=40 and 550.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.091014.030515a},
url = {http://global-sci.org/intro/article_detail/cicp/11245.html}
}