Summary
When the problem of the diffraction of head seas by a slender body is solved by the method of matched asymptotic expansions it is known that the inner (cross-sectional) problem can be singular at a number of discrete frequencies, though the precise circumstances under which these singularities occur is not yet clear. Here, a body of rectangular cross-section is considered, a case for which an accurate solution can be readily calculated. For non-zero draught it is found that there are two frequencies of the incident wave field for which the problem is singular, unless the draught-to-beam ratio is sufficiently large, in which case there are none.
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McIver, P. A note on the inner problem for head-sea diffraction by a slender body of rectangular cross-section. J Eng Math 20, 163–169 (1986). https://doi.org/10.1007/BF00042774
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DOI: https://doi.org/10.1007/BF00042774