TY - JOUR
T1 - Discrete-Velocity Vector-BGK Models Based Numerical Methods for the Incompressible Navier-Stokes Equations
AU - Zhao , Jin
JO - Communications in Computational Physics
VL - 2
SP - 420
EP - 444
PY - 2020
DA - 2020/12
SN - 29
DO - http://doi.org/10.4208/cicp.OA-2019-0192
UR - https://global-sci.org/intro/article_detail/cicp/18473.html
KW - Vector-BGK models, incompressible Navier-Stokes equations, Maxwell iteration,
weighted $L^2$-stability.
AB - <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>