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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2007, Volume 47, Number 8, Pages 1387–1401 (Mi zvmmf267)  

This article is cited in 11 scientific papers (total in 11 papers)

High-order composite compact schemes for simulation of viscous gas flows

A. D. Savel'ev

Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119991, Russia
References:
Abstract: Differential schemes up to the seventh order are used for a numerical description of conservation laws on curvilinear grids. The schemes combine symmetric compact differences and diffusiontype operators oriented according to the direction of characteristics. The spectral properties of the schemes are examined. Several model problems are computed. A numerical method for the Navier–Stokes equations combined with a two-parameter turbulence model is used to simulate two-dimensional viscous gas flows.
Key words: compact approximations, high-order scheme, curvilinear coordinates, turbulent viscous gas flows.
Received: 15.11.2004
Revised: 02.10.2006
English version:
Computational Mathematics and Mathematical Physics, 2007, Volume 47, Issue 8, Pages 1332–1346
DOI: https://doi.org/10.1134/S0965542507080118
Bibliographic databases:
Document Type: Article
UDC: 519.6:531.33
Language: Russian
Citation: A. D. Savel'ev, “High-order composite compact schemes for simulation of viscous gas flows”, Zh. Vychisl. Mat. Mat. Fiz., 47:8 (2007), 1387–1401; Comput. Math. Math. Phys., 47:8 (2007), 1332–1346
Citation in format AMSBIB
\Bibitem{Sav07}
\by A.~D.~Savel'ev
\paper High-order composite compact schemes for simulation of viscous gas flows
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2007
\vol 47
\issue 8
\pages 1387--1401
\mathnet{http://mi.mathnet.ru/zvmmf267}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2378184}
\transl
\jour Comput. Math. Math. Phys.
\yr 2007
\vol 47
\issue 8
\pages 1332--1346
\crossref{https://doi.org/10.1134/S0965542507080118}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34548463418}
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  • https://www.mathnet.ru/eng/zvmmf/v47/i8/p1387
  • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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