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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2016, Volume 56, Number 3, Pages 465–475
DOI: https://doi.org/10.7868/S0044466916030121 (Mi zvmmf10361) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Effective solving of three-dimensional gas dynamics problems with the Runge-Kutta discontinuous Galerkin method

B. A. Korneeva, V. D. Levchenkob

a Moscow Institute of Physics and Technology, 9 Institutsky l., Dolgoprudny, 141700, Moscow region, Russia
b Keldysh Institute of Applied Mathematics, 4 Miusskaya sq., 125047, Moscow, Russia
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DOI: https://doi.org/10.7868/S0044466916030121
Abstract: In this paper we present the Runge–Kutta discontinuous Galerkin method (RKDG method) for the numerical solution of the Euler equations of gas dynamics. The method is being tested on a series of Riemann problems in the one-dimensional case. For the implementation of the method in the three-dimensional case, a DiamondTorre algorithm is proposed. It belongs to the class of the locally recursive non-locally asynchronous algorithms (LRnLA). With the help of this algorithm a significant increase of speed of calculations is achieved. As an example of the three-dimensional computing, a problem of the interaction of a bubble with a shock wave is considered.
Key words: gas dynamics, Euler equations, RKDG method, LRnLA algorithms, high-performance computing, bubble-shock interaction.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-05052_а
Foundation for Assistance to Small Innovative Enterprises in Science and Technology
Received: 15.05.2014
Revised: 20.07.2015
English version:
Computational Mathematics and Mathematical Physics, 2016, Volume 56, Issue 3, Pages 460–469
DOI: https://doi.org/10.1134/S0965542516030118
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: B. A. Korneev, V. D. Levchenko, “Effective solving of three-dimensional gas dynamics problems with the Runge-Kutta discontinuous Galerkin method”, Zh. Vychisl. Mat. Mat. Fiz., 56:3 (2016), 465–475; Comput. Math. Math. Phys., 56:3 (2016), 460–469
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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