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A perturbation method for the radiation of surface waves

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Summary

In this paper we derive a straight forward asymptotic method to find the wave solution for the case that a circular cylinder is heaving in a free surface. The wave period is supposed to be small. The methods used are similar to methods used in the theory of geometrical optics and the theory of boundary layer expansions. It turns out that not only the lowest order approximation can be easily calculated, higher order approximations follow as well.

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Authors and Affiliations

  1. Dept. of Mathematics, Delft University of Technology, Delft, The Netherlands

    A. J. Hermans

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  1. A. J. Hermans
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Hermans, A.J. A perturbation method for the radiation of surface waves. J Eng Math 6, 323–330 (1972). https://doi.org/10.1007/BF01535193

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  • DOI: https://doi.org/10.1007/BF01535193

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