This article is cited in 13 papers

Discontinuous solutions of the “shallow water” equations for flow over a bottom step

V. V. Ostapenko

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

Abstract: Flows over a depth discontinuity (bottom step) are studied within the framework of a single-layer “shallow water” model. Emphasis is given to substantiation of the relations for the stationary discontinuity thus formed. Admissible stable flows over this discontinuity are distinguished. As an example, the paper gives a solution of the problem of the water flow resulting from dam failure above a bottom step over which water is flowing.

UDC: 519.63

Received: 14.05.2002

 English version: Journal of Applied Mechanics and Technical Physics, 2002, 43:6, 836–846

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