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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2013, Volume 53, Number 5, Pages 767–782
DOI: https://doi.org/10.7868/S0044466913050141 (Mi zvmmf9857) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Implicit multiblock method for solving a kinetic equation on unstructured meshes

M. Dumbsera, V. A. Titarevbc, S. V. Utyuzhnikovcd

a I-38123, Trento, Italy, University of Trento
b Dorodnitsyn Computing Centre of the Russian Academy of Sciences, Moscow
c Moscow Institute of Physics and Technology (State University)
d M60 1QD, Manchester, UK, University of Manchester
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DOI: https://doi.org/10.7868/S0044466913050141
Abstract: A parallel multiblock implementation of a second-order accurate implicit numerical method based on solving a model kinetic equation is proposed for analyzing three-dimensional rarefied gas flows. The performance of the method is illustrated by computing test examples of gas flows in a circular pipe in a wide range of Knudsen numbers. The convergence rate and scalability of the method are analyzed depending on the number of blocks in the spatial grid.
Key words: rarefied gas $S$-model, kinetic equation, implicit TVD-scheme.
Received: 23.07.2012
Revised: 13.12.2012
English version:
Computational Mathematics and Mathematical Physics, 2013, Volume 53, Issue 5, Pages 601–615
DOI: https://doi.org/10.1134/S0965542513050126
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: M. Dumbser, V. A. Titarev, S. V. Utyuzhnikov, “Implicit multiblock method for solving a kinetic equation on unstructured meshes”, Zh. Vychisl. Mat. Mat. Fiz., 53:5 (2013), 767–782; Comput. Math. Math. Phys., 53:5 (2013), 601–615
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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