Numerical modeling of quasiplanar giant water waves

Abstract

In this work we present a further analytical development and a numerical implementation of the recently suggested theoretical model for highly nonlinear potential long-crested water waves, where weak three-dimensional effects are included as small corrections to exact two-dimensional equations written in the conformal variables [V.P. Ruban, Phys. Rev. E 71, 055303(R) (2005)]. Numerical experiments based on this theory describe the spontaneous formation of a single weakly three-dimensional large-amplitude wave (alternatively called freak, killer, rogue or giant wave) on the deep water.

revtex4, 8 pages, 7 figures

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Cited by in corpus (8)

• Nonlinear stage of the Benjamin-Feir instability: Three-dimensional coherent structures and rogue waves
• "Breathing" rogue wave observed in numerical experiment
• Enhanced rise of rogue waves in slant wave groups
• Two different kinds of rogue waves in weakly-crossing sea states
• Predictability of the Appearance of Anomalous Waves at Sufficiently Small Benjamin-Feir Indices
• Anomalous wave as a result of the collision of two wave groups on sea surface
• Canonical variables for steep planar water waves over nonuniform bed
• Nonlinear interfacial waves in a constant-vorticity planar flow over variable depth