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Num. Meth. Prog., 2020, Volume 21, Issue 1, Pages 115–128 (Mi vmp996)  

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

On second-order accuracy schemes for modeling of plasma oscillations

E. V. Chizhonkov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: For modeling cold plasma oscillations in the non-relativistic and relativistic cases, some modifications of classical difference schemes of the second order of accuracy are proposed: the McCormack method and the two-stage Lax-Wendroff method. Previously, only the first-order accuracy scheme was known for calculations in Euler variables. For the problem of free plasma oscillations initiated by a short high-power laser pulse, the results of numerical experiments on energy conservation and other quantities were performed in order to test the proposed schemes. It is concluded that the numerical analysis of oscillations is reliable both for the McCormack scheme and for the Lax-Wendroff scheme; however, for the calculation of "long-lived" processes, the first scheme is more preferable. The theoretical analysis of approximation and stability together with experimental observations of quantitative characteristics of errors for the most sensitive quantities significantly increases the reliability of calculations.

Keywords: numerical simulation, plasma oscillations, breaking effect, McCormack and Lax-Wendroff schemes, accuracy order of difference scheme, conservation laws

DOI: https://doi.org/10.26089/NumMet.v21r110

Full text: PDF file (381 kB)

UDC: 519.633.6
Received: 24.01.2020

Citation: E. V. Chizhonkov, “On second-order accuracy schemes for modeling of plasma oscillations”, Num. Meth. Prog., 21:1 (2020), 115–128

Citation in format AMSBIB
\Bibitem{Chi20}
\by E.~V.~Chizhonkov
\paper On second-order accuracy schemes for modeling of plasma oscillations
\jour Num. Meth. Prog.
\yr 2020
\vol 21
\issue 1
\pages 115--128
\mathnet{http://mi.mathnet.ru/vmp996}
\crossref{https://doi.org/10.26089/NumMet.v21r110}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. A. A. Frolov, E. V. Chizhonkov, “Ob oprokidyvanii medlennoi neobyknovennoi volny v kholodnoi magnitoaktivnoi plazme”, Matem. modelirovanie, 33:6 (2021), 3–16  mathnet  crossref
  • Numerical methods and programming
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