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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2010, Volume 50, Number 3, Pages 563–574 (Mi zvmmf4852)  
This article is cited in 8 scientific papers (total in 8 papers)

A higher-order conservative method for computing the Poiseuille flow of a rarefied gas in a channel of arbitrary cross section

V. A. Titareva, E. M. Shakhovb

a Cranfield University, Cranfield, UK, MK43 0AL
b Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333, Russia
Full-text PDF (445 kB) Citations (8)
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Abstract: 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.
Key words: rarefied gas, unstructured mesh, Poiseuille flow, Krook kinetic equation, $S$-model, TVD scheme.
Received: 01.07.2009
Revised: 07.10.2009
English version:
Computational Mathematics and Mathematical Physics, 2010, Volume 50, Issue 3, Pages 537–548
DOI: https://doi.org/10.1134/S0965542510030152
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: V. A. Titarev, E. M. Shakhov, “A higher-order conservative method for computing the Poiseuille flow of a rarefied gas in a channel of arbitrary cross section”, Zh. Vychisl. Mat. Mat. Fiz., 50:3 (2010), 563–574; Comput. Math. Math. Phys., 50:3 (2010), 537–548
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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