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Vestnik YuUrGU. Ser. Mat. Model. Progr., 2021, Volume 14, Issue 1, Pages 91–103 (Mi vyuru584)  

Programming & Computer Software

Adaptation of Kuropatenko method for calculating shock waves in Euler coordinates

P. E. Belyaeva, I. R. Makeevaab, E. E. Pigasovab, D. A. Mastyuka

a Federal State Unitary Enterprise “Russian Federal Nuclear Center -- Zababakhin All--Russia Research Institute of technical Physics”, Snezhinsk, Russian Federation
b South Ural State University, Chelyabinsk, Russian Federation

Abstract: For the moment, there is no implementation of the well-proven numerical method of Kuropatenko in Eulerian coordinates. Such implementation has a promising capabilities for solving a certain scope of problems. This paper is devoted to adaptation of Kuropatenko method for calculating shock waves using Euler coordinates. The application area of the original method is limited and does not include the simulation of multicomponent and multiphase flows of reacting mixtures in two- and three-dimensional spaces. The result obtained demonstrate the efficiency of the developed modification and show the advantages of the extension of this method into multidimensional algorithms.

Keywords: shock wave, Kuropatenko method, numerical methods, conservation laws.

DOI: https://doi.org/10.14529/mmp210107

Full text: PDF file (308 kB)
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UDC: 533.6.011.72+519.6
MSC: 65C20, 76L05
Received: 01.03.2020

Citation: P. E. Belyaev, I. R. Makeeva, E. E. Pigasov, D. A. Mastyuk, “Adaptation of Kuropatenko method for calculating shock waves in Euler coordinates”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 14:1 (2021), 91–103

Citation in format AMSBIB
\Bibitem{BelMakPig21}
\by P.~E.~Belyaev, I.~R.~Makeeva, E.~E.~Pigasov, D.~A.~Mastyuk
\paper Adaptation of Kuropatenko method for calculating shock waves in Euler coordinates
\jour Vestnik YuUrGU. Ser. Mat. Model. Progr.
\yr 2021
\vol 14
\issue 1
\pages 91--103
\mathnet{http://mi.mathnet.ru/vyuru584}
\crossref{https://doi.org/10.14529/mmp210107}


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