@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 = {

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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2019-0192}, url = {http://global-sci.org/intro/article_detail/cicp/18473.html} }