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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2014, Volume 55, Issue 2, Pages 25–37 (Mi pmtf1077)  
This article is cited in 2 scientific papers (total in 2 papers)

Hydraulic jumps in two-layer flow with a free surface

S. L. Gavrilyuka, M. Yu. Kazakovabc

a Institute of Industrial Thermal Systems University of Aix-Marseille, Marseille, 13453, France
b Lavrentyev Institute of Hydrodynamics of Siberian Branch of the Russian Academy of Sciences, Novosibirsk, 630090, Russia
c Novosibirsk State University, Novosibirsk, 630090, Russia
Full-text PDF (325 kB) Citations (2)
Abstract: This paper presents a closure relation which describes hydraulic jumps in two-layer flows with a free surface over a flat bottom. This relation is derived from the momentum equations for each layer, which, subject to the condition of conservation of the total momentum and mass of each layer, become conservative in a sense. It is shown that use of this relation provides a reduction in the total energy at the jump.
Keywords: two-layer shallow water equations, conservation laws, Rankine–Hugoniot relations, conservative equations.
Received: 28.06.2013
English version:
Journal of Applied Mechanics and Technical Physics, 2014, Volume 55, Issue 2, Pages 209–219
DOI: https://doi.org/10.1134/S0021894414020035
Bibliographic databases:
Document Type: Article
UDC: 532.5
Language: Russian
Citation: S. L. Gavrilyuk, M. Yu. Kazakova, “Hydraulic jumps in two-layer flow with a free surface”, Prikl. Mekh. Tekh. Fiz., 55:2 (2014), 25–37; J. Appl. Mech. Tech. Phys., 55:2 (2014), 209–219
Citation in format AMSBIB
\Bibitem{GavKaz14}
\by S.~L.~Gavrilyuk, M.~Yu.~Kazakova
\paper Hydraulic jumps in two-layer flow with a free surface
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2014
\vol 55
\issue 2
\pages 25--37
\mathnet{http://mi.mathnet.ru/pmtf1077}
\elib{https://elibrary.ru/item.asp?id=21946323}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2014
\vol 55
\issue 2
\pages 209--219
\crossref{https://doi.org/10.1134/S0021894414020035}
Linking options:
  • https://www.mathnet.ru/eng/pmtf1077
  • https://www.mathnet.ru/eng/pmtf/v55/i2/p25
    • This publication is cited in the following 2 articles:
    1. Eleuterio F. Toro, Computational Algorithms for Shallow Water Equations, 2024, 393  crossref
    2. Francisco de Melo Viríssimo, Paul A. Milewski, “Nonlinear stability of two-layer shallow water flows with a free surface”, Proc. R. Soc. A., 476:2236 (2020)  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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