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

Published online by Cambridge University Press:  20 April 2006

Dick K. P. Yue  and
Chiang C. Mei
Dick K. P. Yue
Affiliation:
Parsons Laboratory, Department of Civil Engineering. Massachusetts Institute of Technology, Cambridge, MA 02139 Science Applications, Inc., La Jolla, California, USA.
Chiang C. Mei
Affiliation:
Parsons Laboratory, Department of Civil Engineering. Massachusetts Institute of Technology, Cambridge, MA 02139
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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.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 109 , August 1981 , pp. 253 - 256
Copyright
© 1981 Cambridge University Press

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References

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.Google Scholar
Haren, P. & Mei, C. C. 1981 Head-sea diffraction by a slender raft with application to wave-power absorption. J. Fluid Mech. 104, 503–524Google Scholar
Mei, C. C. & Tuck, E. O. 1980 Forward scattering by long thin bodies. SIAM J. Appl. Math. (to appear).Google Scholar
Ursell, F. 1968 ön head seas travelling along a horizontal cylinder. J. Inst. Maths. Applics. 4, 414–427.Google Scholar