Nonlinear refraction–diffraction of water waves: the complementary mild-slope equations

DOI10.1017/S0022112009992369zbMath1183.76646OpenAlexW2034554513MaRDI QIDQ3550491

Yaron Toledo, Yehuda Agnon

Publication date: 31 March 2010

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

Full work available at URL: https://doi.org/10.1017/s0022112009992369

zbMATH Keywords

nonlinear wavesstreamfunction formulationmild-slope equationBragg resonancecoastal and offshore engineering

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

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Cites Work

• Resonant reflection of surface water waves by periodic sandbars
• Directed fluid sheets
• Stochastic nonlinear shoaling of directional spectra
• On generalized Bragg scattering of surface waves by bottom ripples
• A new complementary mild-slope equation
• Disintegration of Cnoidal Waves over Smooth Topography
• A derivation of the Green-Naghdi equations for irrotational flows