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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2023, Volume 63, Number 7, Pages 1193–1205
DOI: https://doi.org/10.31857/S0044466923070050 (Mi zvmmf11590) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Mathematical physics

Quasi-gasdynamic model and numerical algorithm for describing mixtures of different fluids

T. G. Elizarova, E. V. Shilnikov

Federal Research Center Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, 125047, Moscow, Russia
Citations (5)
DOI: https://doi.org/10.31857/S0044466923070050
Abstract: An elegant and easy-to-implement numerical algorithm for simulating flows of homogeneous gas mixtures with component temperatures and velocities assumed to be equal is constructed and tested. The algorithm yields monotone density profiles for the components even if their specific heat ratios are widely different. The algorithm can be used to simulate some flows of gas–liquid mixtures.
Key words: homogeneous gas mixture, one-fluid approximation, finite-difference algorithm, regularized equations.
Received: 14.11.2022
Revised: 14.11.2022
Accepted: 30.03.2023
English version:
Computational Mathematics and Mathematical Physics, 2023, Volume 63, Issue 7, Pages 1319–1331
DOI: https://doi.org/10.1134/S0965542523070059
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: T. G. Elizarova, E. V. Shilnikov, “Quasi-gasdynamic model and numerical algorithm for describing mixtures of different fluids”, Zh. Vychisl. Mat. Mat. Fiz., 63:7 (2023), 1193–1205; Comput. Math. Math. Phys., 63:7 (2023), 1319–1331
Citation in format AMSBIB
\Bibitem{EliShi23}
\by T.~G.~Elizarova, E.~V.~Shilnikov
\paper Quasi-gasdynamic model and numerical algorithm for describing mixtures of different fluids
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2023
\vol 63
\issue 7
\pages 1193--1205
\mathnet{http://mi.mathnet.ru/zvmmf11590}
\crossref{https://doi.org/10.31857/S0044466923070050}
\elib{https://elibrary.ru/item.asp?id=54238540}
\transl
\jour Comput. Math. Math. Phys.
\yr 2023
\vol 63
\issue 7
\pages 1319--1331
\crossref{https://doi.org/10.1134/S0965542523070059}
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  • https://www.mathnet.ru/eng/zvmmf11590
  • https://www.mathnet.ru/eng/zvmmf/v63/i7/p1193
    • This publication is cited in the following 5 articles:
    1. A. A. Zlotnik, T. A. Lomonosov, “Primenenie regulyarizovannykh uravnenii dinamiki geterogennykh binarnykh smesei dlya modelirovaniya fazovykh perekhodov voda-par”, Matem. modelirovanie, 37:1 (2025), 151–170  mathnet  crossref
    2. Andrey Epikhin, Ivan But, “Development of a new solver for homogenous mixture based on regularized gas dynamic equation system”, Numerical Methods in Fluids, 2024  crossref
    3. A. Zlotnik, T. Lomonosov, “On a doubly reduced model for dynamics of heterogeneous mixtures of stiffened gases, its regularizations and their implementations”, Chaos: An Interdisciplinary Journal of Nonlinear Science, 33:11 (2023)  crossref
    4. M. A. Kiryushina, T. G. Elizarova, A. S. Epikhin, “Numerical modeling of melt flow in the Choсhralsky method within the OpenFOAM package using a quasi-hydro dynamic algorithm”, Math. Models Comput. Simul., 15:1 suppl. (2023), S131–S142  mathnet  crossref  crossref
    5. Alexander Zlotnik, Timofey Lomonosov, “On Regularized Systems of Equations for Gas Mixture Dynamics with New Regularizing Velocities and Diffusion Fluxes”, Entropy, 25:1 (2023), 158  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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