This article is cited in 2 papers

Problem of the decay of a small-amplitude discontinuity in two-layer shallow water: First approximation

P. E. Karabut, V. V. Ostapenko

Lavrent’ev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosobirsk, 630090, Russia

Abstract: A method is proposed for the approximate solution of the problem of the decay of a small-amplitude discontinuity in the case of a strictly hyperbolic system of conservation laws which has linearly degenerate characteristic fields. The method is used to analyze the qualitatively different flow regimes occurring in the solution of the problem of the decay of a small-amplitude discontinuity for two-layer shallow water model with a free upper boundary. The most detailed study is made for the special case – the dam-break problem.

Keywords: two-layer shallow water, discontinuity decay problem, dam-break problem, hyperbolic systems, method of successive approximations.

UDC: 532.5

Received: 22.03.2010
Accepted: 27.09.2010

 English version: Journal of Applied Mechanics and Technical Physics, 2011, 52:5, 698–708

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