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Matematicheskoe modelirovanie, 2024, Volume 36, Number 1, Pages 59–70
DOI: https://doi.org/10.20948/mm-2024-01-04 (Mi mm4521) 		 
Modification of the “cross” type scheme to eliminate a “chessboard” error

Yu. V. Yanilkin, O. O. Toporova, A. M. Erofeev

FSUE “Russian Federal Nuclear Center – All-Russia Research Institute of Experimental Physics
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DOI: https://doi.org/10.20948/mm-2024-01-04
Abstract: The paper shows that the “cross” – type difference schemes used to approximate the gas dynamic equations have an error caused by the “chessboard” distribution of thermodynamic quantities. A 2D scheme modification is proposed to eliminate such error. Results of test computations demonstrating the new scheme advantages are given.
Keywords: numerical simulation, the “cross” difference scheme, a “chessboard” error, two-dimensional gas dynamics, the EGAK code.
Received: 06.07.2023
Revised: 06.07.2023
Accepted: 11.09.2023
English version:
Mathematical Models and Computer Simulations, 2024, Volume 16, Issue 3, Pages 364–372
DOI: https://doi.org/10.1134/S2070048224700042
Document Type: Article
Language: Russian
Citation: Yu. V. Yanilkin, O. O. Toporova, A. M. Erofeev, “Modification of the “cross” type scheme to eliminate a “chessboard” error”, Matem. Mod., 36:1 (2024), 59–70; Math. Models Comput. Simul., 16:3 (2024), 364–372
Citation in format AMSBIB
\Bibitem{YanTopEro24}
\by Yu.~V.~Yanilkin, O.~O.~Toporova, A.~M.~Erofeev
\paper Modification of the “cross” type scheme to eliminate a “chessboard” error
\jour Matem. Mod.
\yr 2024
\vol 36
\issue 1
\pages 59--70
\mathnet{http://mi.mathnet.ru/mm4521}
\crossref{https://doi.org/10.20948/mm-2024-01-04}
\transl
\jour Math. Models Comput. Simul.
\yr 2024
\vol 16
\issue 3
\pages 364--372
\crossref{https://doi.org/10.1134/S2070048224700042}
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