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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2020, Volume 492, Pages 43–48
DOI: https://doi.org/10.31857/S2686954320030121 (Mi danma70) 		 
This article is cited in 7 scientific papers (total in 7 papers)

MATHEMATICS

Accuracy of MUSCL-type schemes in shock wave calculations

O. A. Kovyrkinaa, V. V. Ostapenkoab

a Lavrentyev Institute of Hydrodynamics of Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russian Federation
b Novosibirsk State University, Novosibirsk, Russian Federation
Full-text PDF (274 kB) Citations (7)
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DOI: https://doi.org/10.31857/S2686954320030121
Abstract: The central-difference Nessyahu–Tadmor (NT) scheme is considered, which is built using second-order MUSCL reconstruction of fluxes. The accuracy of the NT scheme is studied as applied to calculating shock waves propagating with a variable velocity. It is shown that this scheme has the first order of integral convergence on intervals with one of the boundaries lying in the region of influence of the shock wave. As a result, the local accuracy of the NT scheme is significantly reduced in these areas. Test calculations are presented that demonstrate these properties of the NT scheme.
Keywords: NT scheme, MUSCL flux reconstruction, shock wave, accuracy of finite-difference scheme.
Funding agency Grant number
Russian Science Foundation 16–11–10033
This work was supported by the Russian Science Foundation, grant no. 16-11-10033.
Presented: V. P. Dymnikov
Received: 15.06.2019
Revised: 09.04.2020
Accepted: 10.04.2020
English version:
Doklady Mathematics, 2020, Volume 101, Issue 3, Pages 209–213
DOI: https://doi.org/10.1134/S1064562420030126
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: O. A. Kovyrkina, V. V. Ostapenko, “Accuracy of MUSCL-type schemes in shock wave calculations”, Dokl. RAN. Math. Inf. Proc. Upr., 492 (2020), 43–48; Dokl. Math., 101:3 (2020), 209–213
Citation in format AMSBIB
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\paper Accuracy of MUSCL-type schemes in shock wave calculations
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\transl
\jour Dokl. Math.
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    • This publication is cited in the following 7 articles:
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