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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2014, Volume 54, Number 6, Pages 1008–1021
DOI: https://doi.org/10.7868/S0044466914060088 (Mi zvmmf10053) 		 
This article is cited in 46 scientific papers (total in 47 papers)

Computation of discontinuous solutions of fluid dynamics equations with entropy nondecrease guarantee

S. K. Godunova, I. M. Kulikovbc

a Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, pr. Koptyuga 4, Novosibirsk, 630090, Russia
b Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch, Russian Academy of Sciences, pr. Akademika Lavrent'eva 6, Novosibirsk, 630090, Russia
c Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090, Russia
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DOI: https://doi.org/10.7868/S0044466914060088
Abstract: A new formulation of the Godunov scheme with linear Riemann problems is proposed that guarantees a nondecrease in entropy. The new version of the method is described for the simplest example of one-dimensional gas dynamics in Lagrangian coordinates.
Key words: fluid dynamics equations, computation of discontinuous solutions, Godunov's scheme, entropy nondecrease guarantee.
Received: 11.12.2013
English version:
Computational Mathematics and Mathematical Physics, 2014, Volume 54, Issue 6, Pages 1012–1024
DOI: https://doi.org/10.1134/S0965542514060086
Bibliographic databases:
Document Type: Article
UDC: 519.634
MSC: 76N15 (80A10)
Language: Russian
Citation: S. K. Godunov, I. M. Kulikov, “Computation of discontinuous solutions of fluid dynamics equations with entropy nondecrease guarantee”, Zh. Vychisl. Mat. Mat. Fiz., 54:6 (2014), 1008–1021; Comput. Math. Math. Phys., 54:6 (2014), 1012–1024
Citation in format AMSBIB
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    • This publication is cited in the following 47 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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