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Numerical methods and programming, 2019, Volume 20, Issue 3, Pages 337–345
DOI: https://doi.org/10.26089/NumMet.v20r329
(Mi vmp970)
 

This article is cited in 1 scientific paper (total in 1 paper)

Comparison of a modified large-particle method with some high resolution schemes. Two-Dimensional test problems

D. V. Sadin, B. V. Belyaev, V. A. Davidchuk

Mozhaiskiy Space Military Academy, St. Petersburg
Abstract: A number of computational properties of the previously proposed new modification of a large-particle method are studied on the basis of a nonlinear correction of artificial viscosity at the first (Eulerian) stage and a hybridization of fluxes at the second (Lagrangian and final) stage supplemented by a two-step Runge-Kutta algorithm in time. The method has a second order of approximation in space and time on smooth solutions. The computational efficiency of the method is shown compared to several modern high resolution schemes using the forward facing step problem and the double Mach reflection problem.
Keywords: large-particle method, high resolution, test problems, computational properties.
Received: 20.07.2019
Bibliographic databases:
UDC: 532.529
Language: Russian
Citation: D. V. Sadin, B. V. Belyaev, V. A. Davidchuk, “Comparison of a modified large-particle method with some high resolution schemes. Two-Dimensional test problems”, Num. Meth. Prog., 20:3 (2019), 337–345
Citation in format AMSBIB
\Bibitem{SadBelDav19}
\by D.~V.~Sadin, B.~V.~Belyaev, V.~A.~Davidchuk
\paper Comparison of a modified large-particle method with some high resolution schemes. Two-Dimensional test problems
\jour Num. Meth. Prog.
\yr 2019
\vol 20
\issue 3
\pages 337--345
\mathnet{http://mi.mathnet.ru/vmp970}
\crossref{https://doi.org/10.26089/NumMet.v20r329}
\elib{https://elibrary.ru/item.asp?id=39540786}
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  • https://www.mathnet.ru/eng/vmp/v20/i3/p337
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Numerical methods and programming
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