This article is cited in 2 papers

Flows resulting from the incidence of a discontinuous wave on a bottom step

V. V. Ostapenko, A. A. Malysheva

Lavrent'ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090, Russia

Abstract: The solvability of the problem of the flows resulting from the incidence of a discontinuous wave on a bottom step is studied using a single-layer shallow water model. Solutions in which the total energy of the flow is conserved at the step and those in which it is lost at the step are considered. Regions of double and triple hystereses in the obtained self-similar solutions are found. An analogy is drawn with the problem of single-layer flow over a bottom obstacle.

Keywords: shallow water, discontinuous wave, bottom step.

UDC: 519.63

Received: 29.12.2004
Accepted: 13.05.2005

 English version: Journal of Applied Mechanics and Technical Physics, 2006, 47:2, 157–168

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