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Matematicheskoe modelirovanie, 2015, Volume 27, Number 2, Pages 129–138 (Mi mm3576)  
This article is cited in 26 scientific papers (total in 26 papers)

On convergence rate of WENO schemes behind a shock front

N. A. Mikhailov

Russian Federal Nuclear Center Zababakhin All-Russia Research Institute of Technical Physics
Full-text PDF (384 kB) Citations (26)
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Abstract: The numerical analysis has shown that high order finite-volume WENO schemes have only the first order of convergence in the smooth part of weak solution behind a shock front. The order of integral convergence of difference solution is found to estimate accuracy of translation of Rankine–Hugoniot conditions through the shock.
Keywords: finite-volume WENO schemes, Rankine–Hugoniot conditions, integral convergence, order of convergence.
Received: 26.08.2013
English version:
Mathematical Models and Computer Simulations, 2015, Volume 7, Issue 5, Pages 467–474
DOI: https://doi.org/10.1134/S2070048215050075
Bibliographic databases:
Document Type: Article
UDC: 519-63
Language: Russian
Citation: N. A. Mikhailov, “On convergence rate of WENO schemes behind a shock front”, Matem. Mod., 27:2 (2015), 129–138; Math. Models Comput. Simul., 7:5 (2015), 467–474
Citation in format AMSBIB
\Bibitem{Mik15}
\by N.~A.~Mikhailov
\paper On convergence rate of WENO schemes behind a shock front
\jour Matem. Mod.
\yr 2015
\vol 27
\issue 2
\pages 129--138
\mathnet{http://mi.mathnet.ru/mm3576}
\elib{https://elibrary.ru/item.asp?id=23421477}
\transl
\jour Math. Models Comput. Simul.
\yr 2015
\vol 7
\issue 5
\pages 467--474
\crossref{https://doi.org/10.1134/S2070048215050075}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84941903187}
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    • This publication is cited in the following 26 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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