ISSN:
1089-7666
Source:
AIP Digital Archive
Topics:
Physics
Notes:
The stability of steep short-crested gravity waves in deep water is investigated, thanks to an improvement of the numerical procedure originally developed by Ioualalen and Kharif [J. Fluid. Mech. 262, 265 (1994)]. This study predicts their potential evolution: For very steep waves, it is shown that: (i) Near the two-dimensional standing wave limit, they are unstable to class I modulational perturbations; (ii) near the two-dimensional progressive wave limit, they are unstable to class II perturbations, yielding to "horseshoe-patterned" fields; and (iii) fully three-dimensional waves match the two limits continuously, i.e., class II surpasses class I for the steepest waves. © 1999 American Institute of Physics.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.870029
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