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Num. Meth. Prog., 2019, Volume 20, Issue 3, Pages 337–345 (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.

DOI: https://doi.org/10.26089/NumMet.v20r329

Full text: PDF file (7558 kB)

UDC: 532.529
Received: 20.07.2019

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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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. D. V. Sadin, “Analiz dissipativnykh svoistv gibridnogo metoda krupnykh chastits dlya strukturno slozhnykh techenii gaza”, Kompyuternye issledovaniya i modelirovanie, 12:4 (2020), 757–772  mathnet  crossref
  • Numerical methods and programming
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