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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2010, Volume 50, Number 10, Pages 1811–1826 (Mi zvmmf4950)  
This article is cited in 40 scientific papers (total in 40 papers)

Implicit numerical method for computing three-dimensional rarefied gas flows on unstructured meshes

V. A. Titarev

Cranfield University, Cranfield, UK, MK43 0AL
Full-text PDF (459 kB) Citations (40)
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Abstract: The method based on the numerical solution of a model kinetic equation is proposed for analyzing three-dimensional rarefied gas flows. The basic idea behind the method is the use of a second-order accurate TVD scheme on hybrid unstructured meshes in physical space and a fast implicit time discretization method without iterations at the upper level. The performance of the method is illustrated by computing test examples of three-dimensional rarefied gas flows in variously shaped channels in a wide range of Knudsen numbers.
Key words: rarefied gas, $S$-model, unstructured mesh, kinetic equation, implicit TVD scheme.
Received: 29.03.2010
English version:
Computational Mathematics and Mathematical Physics, 2010, Volume 50, Issue 10, Pages 1719–1733
DOI: https://doi.org/10.1134/S0965542510100088
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: V. A. Titarev, “Implicit numerical method for computing three-dimensional rarefied gas flows on unstructured meshes”, Zh. Vychisl. Mat. Mat. Fiz., 50:10 (2010), 1811–1826; Comput. Math. Math. Phys., 50:10 (2010), 1719–1733
Citation in format AMSBIB
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    • This publication is cited in the following 40 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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