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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2007, Volume 47, Number 11, Pages 1898–1912 (Mi zvmmf223)  
This article is cited in 14 scientific papers (total in 14 papers)

A dynamic mesh adaptation method for magnetohydrodynamics problems

A. G. Zhilkinab

a Chelyabinsk State University, ul. Brat'ev Kashirinykh 129, Chelyabinsk, 454021, Russia
b Institute of Astronomy, Russian Academy of Sciences, ul. Pyatnitskaya 48, Moscow, 119017, Russia
Full-text PDF (2083 kB) Citations (14)
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Abstract: A dynamic adaptation method is used to numerically solve the MHD equations. The basic idea behind the method is to use an arbitrary nonstationary coordinate system for which the numerical procedure and the mesh refinement mechanism are formulated as a unified differential model. Numerical examples of multidimensional MHD flows on dynamic adaptive meshes are given to illustrate the method.
Key words: MHD problems, dynamic mesh adaptation method.
Received: 13.11.2006
Revised: 17.05.2007
English version:
Computational Mathematics and Mathematical Physics, 2007, Volume 47, Issue 11, Pages 1819–1832
DOI: https://doi.org/10.1134/S0965542507110085
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: A. G. Zhilkin, “A dynamic mesh adaptation method for magnetohydrodynamics problems”, Zh. Vychisl. Mat. Mat. Fiz., 47:11 (2007), 1898–1912; Comput. Math. Math. Phys., 47:11 (2007), 1819–1832
Citation in format AMSBIB
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\by A.~G.~Zhilkin
\paper A~dynamic mesh adaptation method for magnetohydrodynamics problems
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2007
\vol 47
\issue 11
\pages 1898--1912
\mathnet{http://mi.mathnet.ru/zvmmf223}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2405033}
\transl
\jour Comput. Math. Math. Phys.
\yr 2007
\vol 47
\issue 11
\pages 1819--1832
\crossref{https://doi.org/10.1134/S0965542507110085}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-36448976230}
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    • This publication is cited in the following 14 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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    Full-text PDF :155
    References:57
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