On the Alber equation for shoaling water waves

DOI10.1017/jfm.2021.808zbMath1481.76100OpenAlexW3203321081MaRDI QIDQ5157317

David Andrade, Mateusz Kluczek, Michael Stiassnie

Publication date: 13 October 2021

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/jfm.2021.808

zbMATH Keywords

finite difference schemelinear stability analysiscubic Schrödinger equationsurface gravity wavetopographic effectlong-distance evolution

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite difference methods applied to problems in fluid mechanics (76M20) Stability and instability of geophysical and astrophysical flows (76E20)

Cites Work

• Shoaling of nonlinear wave-groups on water of slowly varying depth
• New solutions of the C. S. Y. equation reveal increases in freak wave occurrence
• Recurrent solutions of Alber's equation for random water-wave fields
• On the nonlinear transfer of energy in the peak of a gravity-wave spectrum: a simplified model
• The effects of randomness on the stability of two-dimensional surface wavetrains
• Sea-swell interaction as a mechanism for the generation of freak waves
• Recurrent solutions of the Alber equation initialized by Joint North Sea Wave Project spectra

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