A new multi-layer irrotational Boussinesq-type model for highly nonlinear and dispersive surface waves over a mildly sloping seabed

DOI10.1017/jfm.2018.99zbMath1419.76210OpenAlexW2792642752MaRDI QIDQ5225842

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Publication date: 29 July 2019

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

Full work available at URL: https://doi.org/10.1017/jfm.2018.99

zbMATH Keywords

surface gravity waveswave-structure interactionswaves/free-surface flows

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Parallel shear flows in hydrodynamic stability (76E05)

Related Items (6)

A new instability for Boussinesq-type equations ⋮ A Cartesian cut-cell based multiphase flow model for large-eddy simulation of three-dimensional wave-structure interaction ⋮ On the accuracy and applicability of a new implicit Taylor method and the high-order spectral method on steady nonlinear waves ⋮ Depth-integrated wave–current models. Part 1. Two-dimensional formulation and applications ⋮ Trough instabilities in Boussinesq formulations for water waves ⋮ An extension of the Boussinesq-type models to weakly compressible flows

Cites Work

• Unnamed Item
• A new two-layer Boussinesq model for coastal waves from deep to shallow water: derivation and analysis
• Two-layer Boussinesq models for coastal water waves
• A two-layer approach to wave modelling
• Dispersive Nonlinear Shallow-Water Equations
• A double-layer Boussinesq-type model for highly nonlinear and dispersive waves
• Higher–order Boussinesq–type equations for surface gravity waves: derivation and analysis
• A fully nonlinear Boussinesq model for surface waves. Part 2. Extension to O(kh)⁴
• Boussinesq-type formulations for fully nonlinear and extremely dispersive water waves: derivation and analysis
• A new Boussinesq method for fully nonlinear waves from shallow to deep water
• Modified Boussinesq equations and associated parabolic models for water wave propagation
• A fully nonlinear Boussinesq model for surface waves. Part 1. Highly nonlinear unsteady waves
• A new approach to high-order Boussinesq models
• A reasoned overview on Boussinesq-type models: the interplay between physics, mathematics and numerics
• Long waves on a beach

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