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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2024, Volume 64, Number 7, Pages 1268–1280
DOI: https://doi.org/10.31857/S0044466924070116 (Mi zvmmf11791) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Partial Differential Equations

Numerical solution of the Vlasov–Ampère equations

E. V. Chizhonkov

Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, 119991, Moscow, Russia
Full-text PDF Citations (2)
DOI: https://doi.org/10.31857/S0044466924070116
Abstract: An implicit MacCormack-type scheme is constructed for a kinetic plasma model based on the Vlasov–Ampère equations. As compared with the explicit scheme, it has a weaker stability restriction, but preserves computational efficiency, i.e., it does not involve inner iterations. The error of the total energy corresponds to a second-order accurate algorithm, and the total charge (number of particles) is preserved at the grid level. The formation of plasma waves excited by a short intense laser pulse is modeled as an example.
Key words: kinetic plasma model, Vlasov–Ampère equations, plasma oscillations and waves, numerical modeling, implicit MacCormack scheme.
Received: 02.11.2023
English version:
Computational Mathematics and Mathematical Physics, 2024, Volume 64, Issue 7, Pages 1537–1548
DOI: https://doi.org/10.1134/S0965542524700714
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: E. V. Chizhonkov, “Numerical solution of the Vlasov–Ampère equations”, Zh. Vychisl. Mat. Mat. Fiz., 64:7 (2024), 1268–1280; Comput. Math. Math. Phys., 64:7 (2024), 1537–1548
Citation in format AMSBIB
\Bibitem{Chi24}
\by E.~V.~Chizhonkov
\paper Numerical solution of the Vlasov--Amp\`ere equations
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2024
\vol 64
\issue 7
\pages 1268--1280
\mathnet{http://mi.mathnet.ru/zvmmf11791}
\crossref{https://doi.org/10.31857/S0044466924070116}
\elib{https://elibrary.ru/item.asp?id=75206875}
\transl
\jour Comput. Math. Math. Phys.
\yr 2024
\vol 64
\issue 7
\pages 1537--1548
\crossref{https://doi.org/10.1134/S0965542524700714}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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