High-order accurate conservative method for computing the poiseuille rarefied gas flow in a channel of arbitrary cross section

被引:0
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作者
V. A. Titarev
E. M. Shakhov
机构
[1] Cranfield University,Dorodnicyn Computing Center
[2] Russian Academy of Sciences,undefined
来源
Computational Mathematics and Mathematical Physics | 2010年 / 50卷
关键词
rarefied gas; unstructured mesh; Poiseuille flow; Krook kinetic equation; -model; TVD scheme;
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摘要
A high-order accurate method is proposed for analyzing the isothermal rarefied gas flow in an infinitely long channel with an arbitrarily shaped cross section (Poiseuille flow). The basic idea behind the method is the use of hybrid unstructured meshes in physical space and the application of a conservative technique for computing the gas velocity. Examples of calculations are provided for channels of various cross sections in a wide range of Knudsen numbers. Schemes of the first-, second-, and third orders of accuracy in space are compared.
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页码:537 / 548
页数:11
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