The complete second-order diffraction solution for an axisymmetric body Part 1. Monochromatic incident waves Academic Article uri icon


  • We study the diffraction, to second order, of plane monochromatic incident gravity waves by a vertically axisymmetric body. The second-order double-frequency diffraction potential is obtained explicitly. A sequence of one-dimensional integral equations along the generator of the body involving free-surface ring sources of general order are formulated and solved for the circumferential components of the second-order potential. The solution is expedited by analytic integration in the entire local-wave-free outer field of a requisite free-surface integral. The method is validated by extensive convergence tests and comparisons to semi-analytic results for the second-order forces and moments on a uniform vertical circular cylinder. Complete second-order forces, moments, surface pressures and run-up on the vertical cylinder as well as a truncated vertical cone are presented. A summary of the important findings is given in 5.

published proceedings

  • Journal of Fluid Mechanics

author list (cited authors)

  • Kim, M., & Yue, D.

citation count

  • 166

complete list of authors

  • Kim, Moo-Hyun||Yue, Dick KP

publication date

  • March 1989