TY - JOUR
T1 - An MRT Extension to the Multigrid Lattice Boltzmann Method
AU - Armstrong , Charles
AU - Peng , Yan
JO - Communications in Computational Physics
VL - 4
SP - 1178
EP - 1195
PY - 2019
DA - 2019/07
SN - 26
DO - http://doi.org/10.4208/cicp.OA-2018-0166
UR - https://global-sci.org/intro/article_detail/cicp/13233.html
KW - Lattice Boltzmann method, multiple relaxation time, multigrid, full approximation
storage multigrid.
AB - <p style="text-align: justify;">A full approximation storage multigrid method has been shown to improve
the convergence properties of the D2Q9 BGK lattice Boltzmann method [14]. In this
paper we extend the method to the multiple relaxation time collision model due to its
improved stability. The new method is validated using Poiseuille flow. The method
is then extended to three dimensions. The efficiency of the V-cycle and W-cycle multigrid schedules and the under-relaxed Jacobi and Gauss Seidel multigrid smoothers are
reported for the two and three dimensional models for lid driven cavity flow.</p>