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

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.

UDC: 533.6.011 + 517.948.34

Received: 09.10.2007
Accepted: 29.12.2007

 English version: Journal of Applied Mechanics and Technical Physics, 2009, 50:2, 199–206

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