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Diffraction and radiation loads on open cylinders of thin and arbitrary shapes

Published online by Cambridge University Press:  07 May 2015

Mohamed Hariri Nokob  and
Ronald W. Yeung
Mohamed Hariri Nokob
Affiliation:
Department of Mechanical Engineering, University of California at Berkeley, Berkeley, CA 94720-1740, USA
Ronald W. Yeung*
Affiliation:
Department of Mechanical Engineering, University of California at Berkeley, Berkeley, CA 94720-1740, USA
*
†Email address for correspondence: rwyeung@berkeley.edu
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Abstract

We study the effects of having an opening in a vertical cylinder of an arbitrary cross-sectional shape when subjected to incident waves from the outside field. Both the diffraction and radiation problems of linear potential-flow theory are addressed. The cylinders considered are bottom-mounted with vanishing thickness and the problem is formulated as a hypersingular boundary-integral method. A simple higher-order procedure is presented to handle the strong singularity. Comparisons are made between the hydrodynamic properties of open and closed cylinders, and the effects of increasing the opening size are discussed and explained. Results for square, circular and elliptical open cylindrical shells, presented as examples, indicate that wave loads on the structures could be dramatically decreased to zero (effectively) at certain frequencies and opening sizes. This leads to the surprising conclusion that directing an open structure into the incident-wave field results in lower loads on the structure. A model of an open harbour with a frontal breakwater in a wave field, inspired by the idea of the Portunus Project, is also analysed.

JFM classification

Mathematical Foundations: Computational methods Waves/Free-surface Flows: Waves/Free-surface Flows
Type
Papers
Information
Journal of Fluid Mechanics , Volume 772 , 10 June 2015 , pp. 649 - 677
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Copyright
© 2015 Cambridge University Press 

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