This article is cited in 1 paper

Model of a strong discontinuity for the equations of spatial long waves propagating in a free-boundary shear flow

V. M. Teshukov, A. K. Khe

Lavrentyev Institute of Hydrodynamics of Siberian Branch of the Russian Academy of Sciences, Novosibirsk, 630090, Russia

Abstract: The long-wave equations describing three-dimensional shear wave motion of a free-surface ideal fluid are rearranged to a special form and used to describe discontinuous solutions. Relations at the discontinuity front are derived, and stability conditions for the discontinuity are formulated. The problem of determining the flow parameters behind the discontinuity front from known parameters before the front and specified velocity of motion of the front are investigated.

Keywords: vortex shallow water, hydraulic jump, integrodifferential equations.

UDC: 533.6.011 + 517.948.34

Received: 22.08.2007

 English version: Journal of Applied Mechanics and Technical Physics, 2008, 49:4, 693–698

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