Acceleration for microflow simulations of high-order moment models by using lower-order model correction | |
Hu, Zhicheng ; Li, Ruo ; Qiao, Zhonghua | |
2016 | |
关键词 | Boltzmann equation Globally hyperbolic moment method Lower-order model correction Multigrid Microflow GLOBALLY HYPERBOLIC REGULARIZATION MULTIGRID SOLVER KINETIC-THEORY EQUATIONS SYSTEM NUMBER DIODE FLOWS |
英文摘要 | We study the acceleration of steady-state computation for microflow, which is modeled by the high-order moment models derived recently from the steady-state Boltzmann equation with BGK-type collision term. By using the lower-order model correction, a novel nonlinear multi-level moment solver is developed. Numerical examples verify that the resulting solver improves the convergence significantly thus is able to accelerate the steady-state computation greatly. The behavior of the solver is also numerically investigated. It is shown that the convergence rate increases, indicating the solver would be more efficient, as the total levels increases. Three order reduction strategies of the solver are considered. Numerical results show that the most efficient order reduction strategy would be m(l-1) = [m(l)/2]. (C) 2016 Elsevier Inc. All rights reserved.; Natural Science Foundation of Jiangsu Province of China [BK20160784]; Hong Kong Research Council ECS grant [509213]; National Natural Science Foundation of China [11325102, 91330205]; SCI(E); ARTICLE; huzhicheng@nuaa.edu.cn; rli@math.pku.edu.cn; zqiao@polyu.edu.hk; 225-244; 327 |
语种 | 英语 |
出处 | SCI |
出版者 | JOURNAL OF COMPUTATIONAL PHYSICS |
内容类型 | 其他 |
源URL | [http://hdl.handle.net/20.500.11897/458050] |
专题 | 数学科学学院 工学院 |
推荐引用方式 GB/T 7714 | Hu, Zhicheng,Li, Ruo,Qiao, Zhonghua. Acceleration for microflow simulations of high-order moment models by using lower-order model correction. 2016-01-01. |
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