Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Dokl. RAN. Math. Inf. Proc. Upr.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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 6 scientific papers (total in 6 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 (6)
References:
PDF
HTML
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
\Bibitem{KovOst20}
\by O.~A.~Kovyrkina, V.~V.~Ostapenko
\paper Accuracy of MUSCL-type schemes in shock wave calculations
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2020
\vol 492
\pages 43--48
\mathnet{http://mi.mathnet.ru/danma70}
\crossref{https://doi.org/10.31857/S2686954320030121}
\zmath{https://zbmath.org/?q=an:1481.76153}
\elib{https://elibrary.ru/item.asp?id=42929996}
\transl
\jour Dokl. Math.
\yr 2020
\vol 101
\issue 3
\pages 209--213
\crossref{https://doi.org/10.1134/S1064562420030126}
Linking options:
  • https://www.mathnet.ru/eng/danma70
  • https://www.mathnet.ru/eng/danma/v492/p43
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
    Statistics & downloads:
    Abstract page:92
    Full-text PDF :38
    References:8
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024