An efficient nonlinear multigrid solver for the simulation of rarefied gas cavity flow

@article{Hu2022AnEN,
  title={An efficient nonlinear multigrid solver for the simulation of rarefied gas cavity flow},
  author={Zhicheng Hu and Guanghan Li},
  journal={ArXiv},
  year={2022},
  volume={abs/2206.13164}
}
We study efficient simulation of steady state for 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… 

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