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Second-order wave diffraction in two dimensions

journal contribution
posted on 25.02.2013, 14:23 by Maureen McIver
A method for constructing the second-order diffraction potential associated with two-dimensional bodies is described. By introducing analytic functions such as the square of the first-order complex velocity and taking their real or imaginary parts, harmonic functions are generated which are products of first-order quantities. A particular solution for the second-order potential which satisfies the inhomogeneous free surface condition is formed from a combination of these harmonic functions. This particular solution is found to contain a vortex-like term which dominates the behaviour of the second-order potential at large depths and high frequencies. High frequency approximations to the second-order horizontal and vertical forces are developed and compared with computations of the full second-order forces on a semi-circular cylinder.

History

School

  • Science

Department

  • Mathematical Sciences

Citation

MCIVER, M., 1994. Second-order wave diffraction in two dimensions. Applied Ocean Research, 16 (1), pp.19-25.

Publisher

© Elsevier

Version

NA (Not Applicable or Unknown)

Publication date

1994

Notes

This article is closed access.

ISSN

0141-1187

Language

en

Usage metrics

Loughborough Publications

Keywords

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