An efficient steady-state solver for microflows with high-order moment model
Hu,Zhicheng1; Hu,Guanghui2,3
Source PublicationJournal of Computational Physics
AbstractIn Hu et al. (2016)[22], it has been successfully demonstrated that using lower-order moment model correction is a promising idea to accelerate the steady-state computation of high-order moment models of the Boltzmann equation. To develop the existing solver, the following aspects are studied in this paper. First, the finite volume method with linear reconstruction is employed for high-resolution spatial discretization of the resulting equations. Second, by introducing an appropriate parameter τ in the correction step, it is found that the performance of the solver can be improved significantly, i.e., more levels would be involved in the solver, which further accelerates the convergence of the method. Third, Heun's method is employed as the smoother in each level to enhance the robustness of the solver. Numerical experiments in microflows are carried out to demonstrate the efficiency and to investigate the behavior of the new solver. In addition, several order reduction strategies for the choice of the order sequence of the solver are tested, and the strategy m=⌈m/2⌉ is found to be most efficient.
KeywordBoltzmann equation High-order moment model Lower-order moment model correction Microflow Multi-level method
URLView the original
Scopus ID2-s2.0-85065550530
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Document TypeJournal article
CollectionUniversity of Macau
Corresponding AuthorHu,Guanghui
Affiliation1.Department of Mathematics,College of Science,Nanjing University of Aeronautics and Astronautics,Nanjing,210016,China
2.Department of Mathematics,University of Macau,China
3.Zhuhai UM Science & Technology Research Institute,Guangdong,China
Corresponding Author AffilicationUniversity of Macau
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GB/T 7714
Hu,Zhicheng,Hu,Guanghui. An efficient steady-state solver for microflows with high-order moment model[J]. Journal of Computational Physics,2019,392:462-482.
APA Hu,Zhicheng,&Hu,Guanghui.(2019).An efficient steady-state solver for microflows with high-order moment model.Journal of Computational Physics,392,462-482.
MLA Hu,Zhicheng,et al."An efficient steady-state solver for microflows with high-order moment model".Journal of Computational Physics 392(2019):462-482.
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