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Trapped-wave modes of bodies in channels

Published online by Cambridge University Press:  22 December 2016

J. N. Newman
J. N. Newman*
Affiliation:
Department of Mechanical Engineering, MIT, Cambridge, MA 02139, USA
*
†Email address for correspondence: jnn@mit.edu
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Abstract

Trapped waves can exist in the presence of bodies in open water, and also in channels of finite width. Various examples are found for bodies that support trapped waves in channels, including floating and submerged bodies and bottom-mounted cylinders. Different types of trapping are considered where the body is fixed or free to move in response to the oscillatory pressure. In some cases both types are supported by the same body. In most cases for fixed bodies the fluid motion is antisymmetric about the centreline of the channel, but special body shapes exist where the trapped mode is asymmetric. For free bodies the trapping modes and body motions are symmetric about the centreline if the body is floating or antisymmetric if it is submerged.

JFM classification

Waves/Free-surface Flows: Surface gravity waves Waves/Free-surface Flows: Wave scattering
Type
Papers
Information
Journal of Fluid Mechanics , Volume 812 , 10 February 2017 , pp. 178 - 198
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Copyright
© 2016 Cambridge University Press 

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