This article is cited in 6 papers

Surface waves induced by external periodic pressure in a fluid with an uneven bottom

I. V. Sturova

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

Abstract: The behavior of waves generated by periodic pressure on the free surface is considered within the linear shallow-water theory. The fluid depth is a piecewise-constant function, which implies the presence of a finite-size bottom trench or elevation. For an arbitrary shape of bottom unevenness, the solution of the problem reduces to a system of integral boundary equations. Manifestation of wave-guiding properties of bottom unevenness is illustrated by an example of an extended rectangular elevation.

Keywords: linear shallow-water theory, uneven bottom, trapped waves.

UDC: 532.59

Received: 02.03.2004

 English version: Journal of Applied Mechanics and Technical Physics, 2005, 46:1, 55–61

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