A note on the singularity of an inner problem for head-sea diffraction by a slender body

Author:

Yue Dick K. P.,Mei Chiang C.

Abstract

In studying head-sea diffraction by a slender body via matched asymptotics, Haren & Mei (1981) found numerically that the normalized inner problem is singular at a special frquency. In the present note, this singularity is confirmed by a different numerical method and by an analytical demonstration in the shallow-water limit.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference4 articles.

1. Haren, P. & Mei, C. C. 1981 Head-sea diffraction by a slender raft with application to wave-power absorption.J. Fluid Mech. 104,503–524

2. Mei, C. C. & Tuck, E. O. 1980 Forward scattering by long thin bodies.SIAM J. Appl. Math. (to appear).

3. Ursell, F. 1968 ön head seas travelling along a horizontal cylinder.J. Inst. Maths. Applics. 4,414–427.

4. Aranha, J. A. , Mei, C. C. & Yue, D. K. P. 1979 Some properties of a hybrid element method for water waves.Int. J. Num. Meth. Engng 14,1627–1641.

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