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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2009, Volume 50, Issue 2, Pages 37–45 (Mi pmtf1714)  
Strong discontinuities in spatial stationary long-wave flows of an ideal incompressible fluid

A. K. Khe

Lavrent’ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090, Russia
Full-text PDF (296 kB)
Abstract: Spatial stationary flows over an even bottom of a heavy ideal fluid with a free surface are considered. Jump relations for flows with a strong discontinuity are studied. It is shown that the flow parameters behind the jump are defined by a certain curve which is an analog of the $(\theta,p)$ diagram in gas dynamics. A shock polar and examples of flows with a hydraulic jump are constructed for a particular class of solutions.
Keywords: vortex shallow water, hydraulic jump, integrodifferential equations.
Received: 09.10.2007
Accepted: 29.12.2007
English version:
Journal of Applied Mechanics and Technical Physics, 2009, Volume 50, Issue 2, Pages 199–206
DOI: https://doi.org/10.1007/s10808-009-0027-9
Bibliographic databases:
Document Type: Article
UDC: 533.6.011 + 517.948.34
Language: Russian
Citation: A. K. Khe, “Strong discontinuities in spatial stationary long-wave flows of an ideal incompressible fluid”, Prikl. Mekh. Tekh. Fiz., 50:2 (2009), 37–45; J. Appl. Mech. Tech. Phys., 50:2 (2009), 199–206
Citation in format AMSBIB
\Bibitem{Khe09}
\by A.~K.~Khe
\paper Strong discontinuities in spatial stationary long-wave flows of an ideal incompressible fluid
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2009
\vol 50
\issue 2
\pages 37--45
\mathnet{http://mi.mathnet.ru/pmtf1714}
\elib{https://elibrary.ru/item.asp?id=11839326}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2009
\vol 50
\issue 2
\pages 199--206
\crossref{https://doi.org/10.1007/s10808-009-0027-9}
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