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Numerical methods and programming, 2022, Volume 23, Issue 4, Pages 365–378
DOI: https://doi.org/10.26089/NumMet.v23r423 (Mi vmp1068) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Methods and algorithms of computational mathematics and their applications

Conservative-characteristic method for solving hyperbolic systems of equations on triangular computational grids

V. M. Goloviznin, D. Yu. Gorbachev, N. A. Afanasiev

Lomonosov Moscow State University, Moscow, Russia
Full-text PDF (4450 kB) Citations (1)
DOI: https://doi.org/10.26089/NumMet.v23r423
Abstract: This article considers a conservative-characteristic numerical method for solving hyperbolic systems of equations on triangular computational grids. The main steps of the algorithm are described with the example of solving two-dimensional shallow water equations. The method is verified and compared with the methods developed by other authors on the main tests for shallow water equations over a flat bottom.
Keywords: conservative-characteristic methods, CABARET method, computational fluid dynamics, shallow water, triangular computational grids.
Funding agency Grant number
Russian Foundation for Basic Research 20–31–90084
This work was supported by the Russian Foundation for Basic Research (project No. 20–31–90084).
Received: 20.09.2022
Accepted: 07.11.2022
Document Type: Article
UDC: 519.6
Language: Russian
Citation: V. M. Goloviznin, D. Yu. Gorbachev, N. A. Afanasiev, “Conservative-characteristic method for solving hyperbolic systems of equations on triangular computational grids”, Num. Meth. Prog., 23:4 (2022), 365–378
Citation in format AMSBIB
\Bibitem{GolGorAfa22}
\by V.~M.~Goloviznin, D.~Yu.~Gorbachev, N.~A.~Afanasiev
\paper Conservative-characteristic method for solving hyperbolic systems of equations on triangular computational grids
\jour Num. Meth. Prog.
\yr 2022
\vol 23
\issue 4
\pages 365--378
\mathnet{http://mi.mathnet.ru/vmp1068}
\crossref{https://doi.org/10.26089/NumMet.v23r423}
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    • This publication is cited in the following 1 articles:
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