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Nonlinear radiated and diffracted waves due to the motions of a submerged circular cylinder

Published online by Cambridge University Press:  10 March 1999

YUMING LIU ,
QIANG ZHU  and
DICK K. P. YUE
YUMING LIU
Affiliation:
Department of Ocean Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
QIANG ZHU
Affiliation:
Department of Ocean Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
DICK K. P. YUE
Affiliation:
Department of Ocean Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
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Abstract

We study the high-harmonic surface wave associated with nonlinear diffraction and radiation of gravity waves by a near-surface circular cylinder. Based on nonlinear potential-flow theory, we show analytically, using a boundary-integral equation method, that: (a) for a circular motion of the cylinder, the leading-order outgoing radiated waves at any harmonic are generated only in one direction; (b) for a cylinder free to respond to regular incident waves, the total leading-order scattered waves at any harmonic are two orders smaller upstream of the body. These theoretical results are substantially confirmed by direct time-domain simulations of the problem.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 382 , 10 March 1999 , pp. 263 - 282
Copyright
© 1999 Cambridge University Press

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