Summary
This paper is an extension of an earlier paper ([1]) on the subject of the radiation of waves by a heaving circular cylinder in two-dimensions. In this paper the same ideas of boundary layer expansions are employed and extended to the general three-dimensional case. The ray method is used to extend the solution from a locally two-dimensional solution to the general far field solution. In the case that caustics occur, a uniform method is described to avoid solutions which become locally non-valid.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
A. J. Hermans, A perturbation method for the radiation of surface waves,J. of Eng. Math., 6, 4 (1972) 323–330.
F. John, On the motion of floating bodies II,C.P.A.M., 3 (1950) 45–103.
J. B. Keller and R. M. Lewis, Asymptotic theory of wave propagation and diffraction, Book, to appear.
D. Ludwig, Uniform asymptotic expansions at a caustic,C.P.A.M., 19 (1966) 215–250.
R. E. O'Malley, Jr., Boundary layer methods for nonlinear initial value problems,SIAM Rev., 13 (1971) 425–433.
F. Ursell, Short surface waves due to an oscillating immersed body,Proc. of the Camb. Phil. Soc. A 220 (1950) 90–103.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Hermans, A.J. A perturbation method for the radiation of short surface waves in three dimensions. J Eng Math 7, 75–84 (1973). https://doi.org/10.1007/BF01535270
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01535270