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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2017, Volume 57, Number 4, Pages 682–701
DOI: https://doi.org/10.7868/S0044466917040032 (Mi zvmmf10563) 		 
This article is cited in 29 scientific papers (total in 29 papers)

Construction of edge-based 1-exact schemes for solving the Euler equations on hybrid unstructured meshes

P. A. Bakhvalov, T. K. Kozubskaya

Federal Research Center Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow, Russia
Full-text PDF (1029 kB) Citations (29)
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DOI: https://doi.org/10.7868/S0044466917040032
Abstract: In this paper, 1-exact vertex-centered finite-volume schemes with an edge-based approximation of fluxes are constructed for numerically solving hyperbolic problems on hybrid unstructured meshes. The 1-exactness property is ensured by introducing a new type of control volumes, which are called semitransparent cells. The features of a parallel algorithm implementing the computations using semitransparent cells on modern supercomputers are described. The results of solving linear and nonlinear test problems are given.
Key words: control volumes, vertex-centered schemes, edge-based approximation of fluxes, hybrid unstructured meshes.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-07911_а
Russian Science Foundation 15-11-30039
Received: 07.09.2015
English version:
Computational Mathematics and Mathematical Physics, 2017, Volume 57, Issue 4, Pages 680–697
DOI: https://doi.org/10.1134/S0965542517040030
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: P. A. Bakhvalov, T. K. Kozubskaya, “Construction of edge-based 1-exact schemes for solving the Euler equations on hybrid unstructured meshes”, Zh. Vychisl. Mat. Mat. Fiz., 57:4 (2017), 682–701; Comput. Math. Math. Phys., 57:4 (2017), 680–697
Citation in format AMSBIB
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    • This publication is cited in the following 29 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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