A Whitham-Boussinesq long-wave model for variable topography

DOI10.1016/j.wavemoti.2016.04.013zbMath1467.76019OpenAlexW2347833757MaRDI QIDQ2186162

Panayotis Panayotaros, Rosa Maria Vargas-Magaña

Publication date: 9 June 2020

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.wavemoti.2016.04.013

zbMATH Keywords

Hamiltonian systempseudo-differential operatorDirichlet-Neumann operatorvariable bottom topographyshallow water wave theoryWhitham-Boussinesq model

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Related Items

A three-dimensional Dirichlet-to-Neumann operator for water waves over topography ⋮ Hamiltonian model for water waves in a triangular domain ⋮ Linear modes for channels of constant cross-section and approximate Dirichlet-Neumann operators ⋮ A comparative study of bi-directional Whitham systems ⋮ Fully dispersive models for moving loads on ice sheets ⋮ Water wave problem with inclined walls ⋮ Rigorous Derivation from the Water Waves Equations of Some Full Dispersion Shallow Water Models

Cites Work

• Unnamed Item
• Unnamed Item
• Numerical study of a nonlocal model for water-waves with variable depth
• Numerical simulation of gravity waves
• A note on hamiltonian for long water waves in varying depth
• An efficient surface integral algorithm applied to unsteady gravity waves
• Uni-directional waves over slowly varying bottom. I: Derivation of a KdV- type of equation
• Hamiltonian long-wave approximations to the water-wave problem
• The Whitham equation as a model for surface water waves
• Numerical simulation of solitary waves on plane slopes
• A High-Order Spectral Method for Nonlinear Water Waves over Moving Bottom Topography
• A Numerical Method for Conformal Mappings
• An explicit Hamiltonian formulation of surface waves in water of finite depth
• Water waves in shallow channels of rapidly varying depth
• On Hamilton's principle for surface waves
• On the Korteweg—de Vries equation for a gradually varying channel
• Hamiltonian long–wave expansions for water waves over a rough bottom
• On the efficient numerical simulation of directionally spread surface water waves

This page was built for publication: A Whitham-Boussinesq long-wave model for variable topography