@Article{CiCP-29-420,
author = {Zhao , Jin},
title = {Discrete-Velocity Vector-BGK Models Based Numerical Methods for the Incompressible Navier-Stokes Equations},
journal = {Communications in Computational Physics},
year = {2020},
volume = {29},
number = {2},
pages = {420--444},
abstract = {<p style="text-align: justify;">In this paper, we propose a class of numerical methods based on discrete-velocity vector-BGK models for the incompressible Navier-Stokes equations. By analyzing a splitting method with Maxwell iteration, we show that the usual lattice Boltzmann discretization of the vector-BGK models provides a good numerical scheme.
Moreover, we establish the stability of the numerical scheme. The stability and second-order accuracy of the scheme are validated through numerical simulations of the two-dimensional Taylor-Green vortex flows. Further numerical tests are conducted to exhibit some potential advantages of the vector-BGK models, which can be regarded as
competitive alternatives of the scalar-BGK models.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2019-0192},
url = {http://global-sci.org/intro/article_detail/cicp/18473.html}
}