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Existence and some properties of waves trapped by submerged cylinders

Published online by Cambridge University Press:  21 April 2006

J. A. P. Aranha
J. A. P. Aranha
Affiliation:
DINAV, I.P.T., São Paulo, Brazil
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Abstract

In this paper the mathematical formulation associated with waves trapped by submerged cylinders is recast as a standard eigenvalue problem. In this way the existence is proven of trapped waves for every frequency Ω, and for arbitrary geometry of the submerged cylinder. At the same time a simple expression for the first eigenvalue and eigenmode, correct in the limits Ω → 0 or Ω → ∞, is derived. The expression can be a useful approximation for a structure relatively transparent to the wave action such as, for instance, a semisubmersible platform.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 192 , July 1988 , pp. 421 - 433
Copyright
© 1988 Cambridge University Press

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