Statistical simulation of low-speed rarefied gas flows

doi:10.1006/jcph.2000.6681

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	Statistical simulation of low-speed rarefied gas flows
	Fan J(樊菁); Shen Q(沈青); Fan, J (reprint author), Chinese Acad Sci, Inst Mech, Lab High Temp Gas Dynam, Beijing 100080, Peoples R China.
发表期刊	Journal of Computational Physics
	2001
卷号	167 期号:2 页码:393-412
ISSN	0021-9991
摘要	Molecular-based numerical schemes, such as the direct simulation Monte Carlo (DSMC) method, are more physically appropriate for rarefied gas flows in microelectromechanical systems (MEMS). It is difficult for them to be statistically convergent, however, because the statistical fluctuation becomes insurmountably large at the low Mach numbers that are characteristic of MEMS. An information preservation (IP) technique is proposed to address this issue. This technique assigns each simulated molecule in the DSMC method two velocities. One is the molecular velocity used to compute the molecular motion following the same steps as the DSMC method. The other is called information velocity. It corresponds to the collective velocity of an enormous number of real molecules that the simulated molecule represents. Using the information velocity to compute macroscopic velocity and shear stress may remove the statistical fluctuation source inherent in the DSMC method that results from the randomness of the thermal velocity. The LP technique has been applied to benchmark problems, namely Couette, Poiseuille, and Rayleigh flows, in the entire Knudsen regime. The characteristic velocities in these flows range from 0.01 to 1 m/s, much smaller than the thermal velocity of about 340 m/s at room temperature. The meaningful results are obtained at a sample size of 10(3)-10(4), in comparison with a sample size of 10(8) or more required for the DSMC method at such a range of flow velocity. This results in a tremendous gain in CPU time. The velocity distributions, surface shear stress, and mass flux given by the IP calculations compare quite well with exact solutions at the continuum and free molecular limits, and with the numerical solutions of the linearized Boltzmann equation and experimental data in the transition regime.
学科领域	力学
DOI	10.1006/jcph.2000.6681
收录类别	SCI
语种	英语
WOS记录号	WOS:000167463300005
关键词[WOS]	HARD-SPHERE MOLECULES ; BOLTZMANN-EQUATION ; NUMERICAL-ANALYSIS ; MONTE-CARLO
WOS研究方向	Computer Science ; Physics
WOS类目	Computer Science, Interdisciplinary Applications ; Physics, Mathematical
引用统计	被引频次：199[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://dspace.imech.ac.cn/handle/311007/15391
专题	力学所知识产出(1956-2008)
通讯作者	Fan, J (reprint author), Chinese Acad Sci, Inst Mech, Lab High Temp Gas Dynam, Beijing 100080, Peoples R China.
推荐引用方式 GB/T 7714	Fan J,Shen Q,Fan, J . Statistical simulation of low-speed rarefied gas flows[J]. Journal of Computational Physics,2001,167,2,:393-412.
APA	樊菁,沈青,&Fan, J .(2001).Statistical simulation of low-speed rarefied gas flows.Journal of Computational Physics,167(2),393-412.
MLA	樊菁,et al."Statistical simulation of low-speed rarefied gas flows".Journal of Computational Physics 167.2(2001):393-412.

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