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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2006, Volume 46, Number 10, Pages 1894–1907 (Mi zvmmf406)  
This article is cited in 10 scientific papers (total in 10 papers)

nvestigation of the efficiency of using numerical schemes of a high order of accuracy for solving Navier–Stokes and Reynolds equations on unstructured adapted grids

A. V. Volkov, S. V. Lyapunov

Zhukovskii Central Institute of Aerohydrodynamics, ul. Zhukovskogo 1, Zhukovskii, Moscow oblast, 140180, Russia
Full-text PDF (1948 kB) Citations (10)
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Abstract: The finite element discontinuous Galerkin method is implemented for solving the Navier–Stokes and Reynolds equations on unstructured adapted grids. A detailed description of the method is given. In problems concerning laminar flow around a cylinder and turbulent flow about a flat plate, solutions with a high order of accuracy are presented. Examples of the calculation of a viscous transonic flow around an isolated airfoil and the subsonic flow around a three-element configuration are considered. These important application problems are solved using the adapted grid technique.
Key words: finite-element Galerkin scheme of a high order of accuracy, unstructured adapted grids, numerical solution of Navier–Stokes equations.
Received: 06.10.2005
Revised: 26.04.2006
English version:
Computational Mathematics and Mathematical Physics, 2006, Volume 46, Issue 10, Pages 1808–1820
DOI: https://doi.org/10.1134/S0965542506100162
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: A. V. Volkov, S. V. Lyapunov, “nvestigation of the efficiency of using numerical schemes of a high order of accuracy for solving Navier–Stokes and Reynolds equations on unstructured adapted grids”, Zh. Vychisl. Mat. Mat. Fiz., 46:10 (2006), 1894–1907; Comput. Math. Math. Phys., 46:10 (2006), 1808–1820
Citation in format AMSBIB
\Bibitem{VolLya06}
\by A.~V.~Volkov, S.~V.~Lyapunov
\paper nvestigation of the efficiency of using numerical schemes of a~high order of accuracy for solving Navier--Stokes and Reynolds equations on unstructured adapted grids
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2006
\vol 46
\issue 10
\pages 1894--1907
\mathnet{http://mi.mathnet.ru/zvmmf406}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2304044}
\transl
\jour Comput. Math. Math. Phys.
\yr 2006
\vol 46
\issue 10
\pages 1808--1820
\crossref{https://doi.org/10.1134/S0965542506100162}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33750366112}
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  • https://www.mathnet.ru/eng/zvmmf/v46/i10/p1894
    • This publication is cited in the following 10 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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