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An Efficient Steady-State Solver for Microflows with High-Order Moment Model
Zhicheng Hu1; Guanghui Hu2
Source PublicationJournal of Computational Physics

In [Z. Hu, R. Li, and Z. Qiao. Acceleration for microflow simulations of high-order moment models by using lower-order model correction. J. Comput. Phys., 327:225-244, 2016], 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 ml−1 = ml/2 is found to be most efficient.

KeywordBoltzmann Equation High-order Moment Model Lower-order Moment Model Correction Multi-level Method Microflow
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Document TypeJournal article
Corresponding AuthorGuanghui Hu
Affiliation1.Department of Mathematics, College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
2.Department of Mathematics, University of Macau, Macao SAR, China; Zhuhai UM Science & Technology Research Institute, Guangdong, China
Corresponding Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Zhicheng Hu,Guanghui Hu. An Efficient Steady-State Solver for Microflows with High-Order Moment Model[J]. Journal of Computational Physics,2019.
APA Zhicheng Hu,&Guanghui Hu.(2019).An Efficient Steady-State Solver for Microflows with High-Order Moment Model.Journal of Computational Physics.
MLA Zhicheng Hu,et al."An Efficient Steady-State Solver for Microflows with High-Order Moment Model".Journal of Computational Physics (2019).
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