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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2009, Volume 49, Number 7, Pages 1255–1270 (Mi zvmmf4722)  
This article is cited in 41 scientific papers (total in 41 papers)

Numerical method for computing two-dimensional unsteady rarefied gas flows in arbitrarily shaped domains

V. A. Titarev

Cranfield University, Cranfield, UK, MK43 0AL
Full-text PDF (2099 kB) Citations (41)
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Abstract: A high-order accurate method for analyzing two-dimensional rarefied gas flows is proposed on the basis of a nonstationary kinetic equation in arbitrarily shaped regions. The basic idea behind the method is the use of hybrid unstructured meshes in physical space. Special attention is given to the performance of the method in a wide range of Knudsen numbers and to accurate approximations of boundary conditions. Examples calculations are provided.
Key words: rarefied gas, $S$-model, unstructured mesh, kinetic equation, TVD scheme.
Received: 05.11.2008
English version:
Computational Mathematics and Mathematical Physics, 2009, Volume 49, Issue 7, Pages 1197–1211
DOI: https://doi.org/10.1134/S0965542509070112
Bibliographic databases:
Document Type: Article
UDC: 519.677
Language: Russian
Citation: V. A. Titarev, “Numerical method for computing two-dimensional unsteady rarefied gas flows in arbitrarily shaped domains”, Zh. Vychisl. Mat. Mat. Fiz., 49:7 (2009), 1255–1270; Comput. Math. Math. Phys., 49:7 (2009), 1197–1211
Citation in format AMSBIB
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    • This publication is cited in the following 41 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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