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Matematicheskoe modelirovanie, 2015, Volume 27, Number 10, Pages 21–31 (Mi mm3655)  
Modification of the Cabaret scheme ensuring its high accuracy on local extrema

N. A. Zyuzinaa, V. V. Ostapenkob

a Novosibirsk State University
b Lavrentyev Institute of Hydrodynamics SD RAS
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Abstract: It's shown that the standard flux correction which is necessary for monotonicity of the CABARET scheme leads to reduction of its accuracy near local extrema. Modified flux correction is proposed that ensures the strong monotonicity of the CABARET scheme for Courant numbers $r\in (0,0.5]$ and simultaneously preserves its high accuracy near local extrema. Test computations of discontinuous solutions of nonlinear advection equation are presented that illustrate advantages of modified scheme.
Keywords: CABARET finite difference scheme, strong monotonicity, flux corrected transport.
Received: 16.03.2015
English version:
Mathematical Models and Computer Simulations, 2016, Volume 8, Issue 3, Pages 231–237
DOI: https://doi.org/10.1134/S2070048216030108
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: N. A. Zyuzina, V. V. Ostapenko, “Modification of the Cabaret scheme ensuring its high accuracy on local extrema”, Matem. Mod., 27:10 (2015), 21–31; Math. Models Comput. Simul., 8:3 (2016), 231–237
Citation in format AMSBIB
\Bibitem{ZyuOst15}
\by N.~A.~Zyuzina, V.~V.~Ostapenko
\paper Modification of the Cabaret scheme ensuring its high accuracy on local extrema
\jour Matem. Mod.
\yr 2015
\vol 27
\issue 10
\pages 21--31
\mathnet{http://mi.mathnet.ru/mm3655}
\elib{https://elibrary.ru/item.asp?id=25707550}
\transl
\jour Math. Models Comput. Simul.
\yr 2016
\vol 8
\issue 3
\pages 231--237
\crossref{https://doi.org/10.1134/S2070048216030108}
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    		Математическое моделирование
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