Scattering of a Surface Gravity Wave by a Submerged Obstacle

I. S. Dolina

Institute of Applied Physics, Russian Academy of Sciences, ul. Ul’yanova 46, Nizhnii Novgorod, 603600 Russia

Received June 21, 1995; in final form, October 27, 1995

Abstract—An approximate method is used to solve the problem of scattering of a surface gravity wave by a
submerged obstacle in the form of a small sphere moving with a constant velocity under the free surface of a
fluid. It is shown that the field of scattered waves has singularities: the amplitude of the scattered wave diverges
logarithmically along some directions if the frequency of an incident wave and the velocity of motion are sub
jected to a certain condition. The region of the parameters of resonance waves is calculated.

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