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  • Journal of Fluid Mechanics, Volume 114
  • January 1982, pp. 315-330

Instabilities of finite-amplitude water waves

  • John W. McLean (a1)
  • DOI: http://dx.doi.org/10.1017/S0022112082000172
  • Published online: 01 April 2006
Abstract

A numerical investigation of normal-mode perturbations of a finite-amplitude Stokes wave has revealed regions of instability lying near resonance curves given by the linear-dispersion relation. It is found that, for small amplitude, the dominant instability is two-dimensional (of Benjamin-Fier type) but, for larger amplitudes, the dominant instability becomes a three-dimensional perturbation. Results are compared with recent experimental observations of steep wave trains.

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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
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