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Huang, J. B.; Eatock Taylor, R.

Second-order interaction of irregular waves with a truncated column. (English) Zbl 0903.76011

Acta Mech. Sin., Engl. Ser. 13, No. 2, 130-142 (1997).
The title problem is important for marine hydrodynamics because it describes the wave motion around a rigid fixed body. This problem was studied by many authors with different methods and in different formulations. The authors themselves studied the problem of second-order diffraction by a vertical cylinder, truncated or not, for monochromatic waves in some papers published between 1978 and 1996 and quoted in the bibliography, by using a semi-analytical method. Now, they extend this method to the bichromatic waves, formulating the corresponding boundary value problem in a cylindrical system of coordinates. The theoretical results obtained are then applied to a particular real case where the authors present the profiles and magnitudes of second-order sum-frequency quadratic transfer functions for different regimes, and the profiles of maximum amplitudes of first-order free surface elevations around the truncated column.
Reviewer: V.Ionescu (Bucureşti)

Cited in 1 Document

MSC:

76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction

Keywords:

semi-analytical method; bichromatic waves; second-order sum-frequency quadratic transfer functions; maximum amplitudes of first-order free surface elevations
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References:

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