Second-order wave diffraction by a submerged circular cylinder
Open Access
- 1 October 1990
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Fluid Mechanics
- Vol. 219 (-1) , 519-529
- https://doi.org/10.1017/s0022112090003056
Abstract
Expressions are derived for the amplitudes of the second-harmonic waves generated when a uniform wave train is normally incident upon a two-dimensional body, submerged in water of infinite depth. These amplitudes are given in terms of integrals over the free surface of products of first-order quantities. For a submerged, circular cylinder, it is shown analytically that there is no second-order reflected wave at any frequency. This extends the classical result that there is no reflection at first-order for this body.Keywords
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