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Siberian Journal of Pure and Applied Mathematics, 2016, Volume 16, Issue 1, Pages 40–56
DOI: https://doi.org/10.17377/PAM.2016.16.104 (Mi vngu392) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Numerical modeling of gas-liquid compressible pipe flow based on thermodynamically compatible systems theory

A. A. Belozerova, E. I. Romenskiba, N. A. Lebedevac

a Novosibirsk State University
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
c Schlumberger Moscow Research Center
Full-text PDF (447 kB) Citations (2)
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DOI: https://doi.org/10.17377/PAM.2016.16.104
Abstract: On the base of thermodynamically compatible systems theory the governing equations of gas-liquid combpressible pipe flow are formulated. The Runge–Kutta–TVD and Runge–Kutta–WENO high accuracy methods are developed for the proposed system. The computational model is used to solve a series of test cases demonstrating its efficiency and capability to be applied to slug flows modeling.
Keywords: hyperbolic systems of conservation laws, two-phase gas-liquid pipe flow, slug flow.
Received: 08.02.2016
English version:
Journal of Mathematical Sciences, 2018, Volume 228, Issue 4, Pages 357–371
DOI: https://doi.org/10.1007/s10958-017-3627-6
Document Type: Article
UDC: 519.63; 532.542
Language: Russian
Citation: A. A. Belozerov, E. I. Romenski, N. A. Lebedeva, “Numerical modeling of gas-liquid compressible pipe flow based on thermodynamically compatible systems theory”, Sib. J. Pure and Appl. Math., 16:1 (2016), 40–56; J. Math. Sci., 228:4 (2018), 357–371
Citation in format AMSBIB
\Bibitem{BelRomLeb16}
\by A.~A.~Belozerov, E.~I.~Romenski, N.~A.~Lebedeva
\paper Numerical modeling of gas-liquid compressible pipe flow based on thermodynamically compatible systems theory
\jour Sib. J. Pure and Appl. Math.
\yr 2016
\vol 16
\issue 1
\pages 40--56
\mathnet{http://mi.mathnet.ru/vngu392}
\crossref{https://doi.org/10.17377/PAM.2016.16.104}
\transl
\jour J. Math. Sci.
\yr 2018
\vol 228
\issue 4
\pages 357--371
\crossref{https://doi.org/10.1007/s10958-017-3627-6}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский журнал чистой и прикладной математики
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