Nonlinear refraction–diffraction of waves in shallow water

DOI10.1017/S0022112085001203zbMath0593.76028OpenAlexW2172182770MaRDI QIDQ3723939

James T. Kirby, Sung B. Yoon, Philip L.-F. Liu

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1017/s0022112085001203

zbMATH Keywords

Boussinesq equationsparabolic approximationcombined refraction/diffractionevolution equations for spectral-wave componentsslowly varying two-dimensional domainweakly nonlinear shallow-water waves

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Partial differential equations of mathematical physics and other areas of application (35Q99) Basic methods in fluid mechanics (76M99)

Related Items (10)

Propagation of water waves over uneven bottom under the effect of surface tension ⋮ A quasi-one-dimensional asymptotic theory for non-linear water waves ⋮ Unified Kadomtsev–Petviashvili equation ⋮ Evolution of long water waves in variable channels ⋮ Resonant reflection of shallow-water waves due to corrugated boundaries ⋮ An unstructured FEM model based on Boussinesq equations and its application to the calculation of multidirectional wave run-up in a cylinder group ⋮ Diffraction of a solitary wave by a thin wedge ⋮ Nonlinear transformation of waves in finite water depth ⋮ A perturbation DRBEM model for weakly nonlinear wave run-ups around islands ⋮ Wave transformation models with exact second-order transfer

Cites Work

• On the parabolic equation method for water-wave propagation
• Forward diffraction of Stokes waves by a thin wedge
• Refraction–diffraction model for linear surface water waves
• Some numerical solutions of a variable-coefficient Korteweg-de Vries equation (with applications to solitary wave development on a shelf)

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