Enhanced rise of rogue waves in slant wave groups

Abstract

Numerical simulations of fully nonlinear equations of motion for long-crested waves at deep water demonstrate that in elongate wave groups the formation of extreme waves occurs most intensively if in an initial state the wave fronts are oriented obliquely to the direction of the group. An "optimal" angle, resulting in the highest rogue waves, depends on initial wave amplitude and group width, and it is about 18-28 degrees in a practically important range of parameters.

revtex4, 4 pages, 8 figures, minor corrections, additional numerical results included

References in corpus (5)

• Instability and Evolution of Nonlinearly Interacting Water Waves
• Nonlinear stage of the Benjamin-Feir instability: Three-dimensional coherent structures and rogue waves
• Instability and Nonlinear Evolution of Narrow-Band Directional Ocean Waves
• "Breathing" rogue wave observed in numerical experiment
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Cited by in corpus (3)

• Wave amplification in the framework of forced nonlinear Schrodinger equation: the rogue wave context
• On the nonlinear Schrödinger equation for waves on a nonuniform current
• Lifetimes of rogue wave events in direct numerical simulations of deep-water irregular sea waves