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Second-order wave diffraction in two dimensions
journal contribution
posted on 2013-02-25, 14:23 authored by Maureen McIverA 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
© ElsevierVersion
- NA (Not Applicable or Unknown)
Publication date
1994Notes
This article is closed access.ISSN
0141-1187Publisher version
Language
- en