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Low-Speed Flow Simulation by the Gas-Kinetic Scheme

โœ Scribed by Mingde Su; Kun Xu; M.S Ghidaoui


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
377 KB
Volume
150
Category
Article
ISSN
0021-9991

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โœฆ Synopsis


This paper extends the gas-kinetic BGK-type scheme to low Mach number flows, and thus shows that incompressible flow solutions are accurately obtained from the BGK scheme in the low Mach number limit. The influence of boundary conditions, internal molecular degrees of freedom K , and the flow Mach number M on the accuracy of the solutions of incompressible or nearly incompressible flow problems is quantitatively evaluated. The gas-kinetic scheme is tested carefully in two numerical examples, namely, the cavity flow problem and the flow passing a backward facing step problem. For the cavity flow problem, the numerical results from the gaskinetic scheme under different Reynolds numbers compare well with Ghia's data. For the backward step problem, the numerical results are compared accurately with previously published experimental data.


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โœ Jing Fan; Ching Shen ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 154 KB

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 i