@Article{CiCP-34-2,
author = {Zhicheng, Hu and Li, Guanghan},
title = {An Efficient Nonlinear Multigrid Solver for the Simulation of Rarefied Gas Cavity Flow},
journal = {Communications in Computational Physics},
year = {2023},
volume = {34},
number = {2},
pages = {357--391},
abstract = {<p style="text-align: justify;">We study efficient simulation of steady state for multi-dimensional rarefied
gas flow, which is modeled by the Boltzmann equation with BGK-type collision term.
A nonlinear multigrid solver is proposed to resolve the efficiency issue by the following approaches. The unified framework of numerical regularized moment method is
first adopted to derive the high-quality discretization of the underlying problem. A
fast sweeping iteration is introduced to solve the derived discrete problem more efficiently than the usual time-integration scheme on a single level grid. Taking it as
the smoother, the nonlinear multigrid solver is then established to significantly improve the convergence rate. The OpenMP-based parallelization is applied in the implementation to further accelerate the computation. Numerical experiments for two
lid-driven cavity flows and a bottom-heated cavity flow are carried out to investigate
the performance of the resulting nonlinear multigrid solver. All results show the wonderful efficiency and robustness of the solver for both first- and second-order spatial
discretization.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2022-0271},
url = {https://global-sci.com/article/79370/an-efficient-nonlinear-multigrid-solver-for-the-simulation-of-rarefied-gas-cavity-flow}
}