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Matematicheskoe modelirovanie, 2018, Volume 30, Number 8, Pages 17–31 (Mi mm3990)  
This article is cited in 3 scientific papers (total in 3 papers)

Hybrid approach to solving single-dimensional gas dynamics equations

Yu. A. Kriksin, V. F. Tishkin

Keldysh Institute of Applied Mathematics of RAS
Full-text PDF (447 kB) Citations (3)
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Abstract: To solve one-dimensional gas dynamic problems, the hybrid approach is proposed, in which the entropy equation is solved instead of the energy equation in the isentropic flow domains of an ideal gas. The results of numerical calculations of some model problems obtained by the classical Godunov’s method and the algorithm based on the hybrid approach are compared.
Keywords: gasdynamic equations, Galerkin discontinuous method, boundary value problem, explicit numerical method, entropy and energy balance.
Funding agency Grant number
Russian Science Foundation 17-71-30014
Received: 19.10.2017
English version:
Mathematical Models and Computer Simulations, 2019, Volume 11, Issue 2, Pages 256–265
DOI: https://doi.org/10.1134/S2070048219020078
Document Type: Article
Language: Russian
Citation: Yu. A. Kriksin, V. F. Tishkin, “Hybrid approach to solving single-dimensional gas dynamics equations”, Mat. Model., 30:8 (2018), 17–31; Math. Models Comput. Simul., 11:2 (2019), 256–265
Citation in format AMSBIB
\Bibitem{KriTis18}
\by Yu.~A.~Kriksin, V.~F.~Tishkin
\paper Hybrid approach to solving single-dimensional gas dynamics equations
\jour Mat. Model.
\yr 2018
\vol 30
\issue 8
\pages 17--31
\mathnet{http://mi.mathnet.ru/mm3990}
\transl
\jour Math. Models Comput. Simul.
\yr 2019
\vol 11
\issue 2
\pages 256--265
\crossref{https://doi.org/10.1134/S2070048219020078}
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  • https://www.mathnet.ru/eng/mm/v30/i8/p17
    • This publication is cited in the following 3 articles:
    1. I. Q. Khujaev, S. S. Akhmadjonov, M. K. Mahkamov, “Modeling of the stages of verification of the suitability of a short section of a gas pipeline tooperation”, Math. Models Comput. Simul., 14:6 (2022), 972–983  mathnet  crossref  crossref  mathscinet
    2. D. V. Sadin, “Efficient implementation of the hybrid large-particle method”, Math. Models Comput. Simul., 14:6 (2022), 946–954  mathnet  crossref  crossref  mathscinet
    3. D. V. Sadin, “Analiz dissipativnykh svoistv gibridnogo metoda krupnykh chastits dlya strukturno slozhnykh techenii gaza”, Kompyuternye issledovaniya i modelirovanie, 12:4 (2020), 757–772  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математическое моделирование
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    References:71
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