A discrete velocity direction model for the Boltzmann equation and applications to micro gas flows

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	A discrete velocity direction model for the Boltzmann equation and applications to micro gas flows
	Zhang, Zhenyu 1; Xu, Jianzhong 2; Qi, Zhiguo 2; Xi, Guang 1
刊名	JOURNAL OF COMPUTATIONAL PHYSICS
	2008-05-01
卷号	227 期号:10 页码:5256-5271
关键词	discrete velocity direction model Boltzmann equation low-speed micro flow
英文摘要	A discrete velocity direction model for the Boltzmann equation is proposed in this paper, which provides an alternative technique to the rarefied gas flows. In this model, the directions of molecular velocities are discrete, which are restricted in eight fixed directions, while the molecular speed rate is still continuous. By this approximation, the Boltzmann equation in the six-dimensional phase space is replaced by eight differential-integral equations in three-dimensional space. Thus, the computational cost is reduced greatly by reduction of three dimensions. The number of discrete velocities is not fixed in the present model because the speed rate can be truncated arbitrarily. This is distinguished from the conventional discrete velocity models (DVM). To test this technique, it was applied to the Couette flow and Poiseuille flow. The computed results agree well with those by the linearized Boltzmann equation and the DSMC method. (C) 2008 Elsevier Inc. All rights reserved.
WOS标题词	Science & Technology ; Technology ; Physical Sciences
类目[WOS]	Computer Science, Interdisciplinary Applications ; Physics, Mathematical
研究领域[WOS]	Computer Science ; Physics
关键词[WOS]	HARD-SPHERE MOLECULES ; LAMPIS SCATTERING KERNEL ; 2 PARALLEL PLATES ; RAREFIED-GAS ; NUMERICAL-ANALYSIS ; DIFFUSION LIMIT ; SHOCK STRUCTURE ; KINETIC-THEORY ; THERMAL CREEP ; PLANE WALL
收录类别	SCI
语种	英语
WOS记录号	WOS:000255447000023
公开日期	2015-12-22
内容类型	期刊论文
源URL	[http://ir.etp.ac.cn/handle/311046/106377]
专题	工程热物理研究所_中国科学院工程热物理所（论文库）_期刊论文（SCI）
作者单位	1.Xian Jiaotong Univ, Sch Energy & Power Engn, Xian 710049, Peoples R China 2.Chinese Acad Sci, Inst Engn Thermophys, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Zhenyu,Xu, Jianzhong,Qi, Zhiguo,et al. A discrete velocity direction model for the Boltzmann equation and applications to micro gas flows[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2008,227(10):5256-5271.
APA	Zhang, Zhenyu,Xu, Jianzhong,Qi, Zhiguo,&Xi, Guang.(2008).A discrete velocity direction model for the Boltzmann equation and applications to micro gas flows.JOURNAL OF COMPUTATIONAL PHYSICS,227(10),5256-5271.
MLA	Zhang, Zhenyu,et al."A discrete velocity direction model for the Boltzmann equation and applications to micro gas flows".JOURNAL OF COMPUTATIONAL PHYSICS 227.10(2008):5256-5271.