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Diffraction problem of a floating breakwater with an array of small ports

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Abstract

In this article, we have studied the linear water wave scattering by an infinitely extended fixed floating cylinder of rectangular cross section which is placed in front of a periodic array of identical fixed small bodies. The velocity potentials that appear in the boundary value problem are expressed in the explicit form in terms of infinite Fourier double series using the method of separation of variables. By matching the velocity and pressure at the interfaces and using the orthogonality property of eigenfunctions, a system of algebraic equations of unknowns are obtained. These are solved numerically to determine the velocity potential completely. The existence of resonance modes in the open water region is demonstrated by analyzing coefficients which appear in the velocity potential and the resonance surface modes are plotted for different physical parameters. This study can be used in the design of multiple offshore structures.

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Authors and Affiliations

  1. Department of Ocean Technology, Policy, and Environment, Graduate School of Frontier Sciences, The University of Tokyo, 2778563, Kashiwa, Japan

    R. Mondal, K. Takagi & R. Wada

Authors
  1. R. Mondal
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  2. K. Takagi
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  3. R. Wada
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Correspondence to R. Mondal.

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Mondal, R., Takagi, K. & Wada, R. Diffraction problem of a floating breakwater with an array of small ports. J Mar Sci Technol 22, 459–469 (2017). https://doi.org/10.1007/s00773-016-0424-8

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  • DOI: https://doi.org/10.1007/s00773-016-0424-8

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