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Matematicheskoe modelirovanie, 2015, Volume 27, Number 10, Pages 47–64 (Mi mm3657)  
This article is cited in 12 scientific papers (total in 12 papers)

Application of the artificial viscosity for suppressing the carbuncle phenomenon in Godunov-type schemes

I. Yu. Tagirova, A. V. Rodionov

Russian Federal Nuclear Center — VNIIEF, Sarov
Full-text PDF (1052 kB) Citations (12)
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Abstract: A new approach for solving the carbuncle phenomenon that occurs in Godunov-type schemes when applied to hypersonic flow simulations is proposed. The approach suppresses carbuncleinstability by additional dissipative terms in the form of the right-hand side of Navier–Stokes equations, but with the molecular viscosity replaced by artificial viscosity. The efficiency of suggested approach is demonstrated by solving several test problems.
Keywords: hypersonic flows, Euler and Navier–Stokes equations.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-06224
Received: 16.03.2015
English version:
Mathematical Models and Computer Simulations, 2016, Volume 8, Issue 3, Pages 249–262
DOI: https://doi.org/10.1134/S2070048216030091
Bibliographic databases:
Document Type: Article
UDC: 519.6+533.6
Language: Russian
Citation: I. Yu. Tagirova, A. V. Rodionov, “Application of the artificial viscosity for suppressing the carbuncle phenomenon in Godunov-type schemes”, Matem. Mod., 27:10 (2015), 47–64; Math. Models Comput. Simul., 8:3 (2016), 249–262
Citation in format AMSBIB
\Bibitem{TagRod15}
\by I.~Yu.~Tagirova, A.~V.~Rodionov
\paper Application of the artificial viscosity for suppressing the carbuncle phenomenon in Godunov-type schemes
\jour Matem. Mod.
\yr 2015
\vol 27
\issue 10
\pages 47--64
\mathnet{http://mi.mathnet.ru/mm3657}
\elib{https://elibrary.ru/item.asp?id=25707552}
\transl
\jour Math. Models Comput. Simul.
\yr 2016
\vol 8
\issue 3
\pages 249--262
\crossref{https://doi.org/10.1134/S2070048216030091}
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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