A Fourier-Boussinesq method for nonlinear water waves
From MaRDI portal
Publication:1773387
DOI10.1016/j.euromechflu.2004.06.006zbMath1060.76089OpenAlexW1971448716MaRDI QIDQ1773387
Yehuda Agnon, Harry B. Bingham
Publication date: 28 April 2005
Published in: European Journal of Mechanics. B. Fluids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.euromechflu.2004.06.006
Related Items
Development and validation of a non-linear spectral model for water waves over variable depth ⋮ Variational derivation of KdV-type models for surface water waves ⋮ Analysis of the linear version of a highly dispersive potential water wave model using a spectral approach in the vertical ⋮ Fully nonlinear higher-order model equations for long internal waves in a two-fluid system ⋮ Numerical solution of the equations for spatial nonlinear steady-state traveling waves on the free surfaces of homogeneous and two-layer bodies of water ⋮ Wave–bottom interaction and extreme wave statistics due to shoaling and de-shoaling of irregular long-crested wave trains over steep seabed changes ⋮ Discrete Asymptotic Equations for Long Wave Propagation ⋮ Semi-explicit solutions to the water-wave dispersion relation and their role in the non-linear Hamiltonian coupled-mode theory
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Numerical simulation of gravity waves
- Non-reflecting boundary conditions
- Absorbing boundary conditions for free surface waves
- Analytic continuation of Dirichlet-Neumann operators
- A non-periodic spectral method with application to nonlinear water waves
- A fast method for fully nonlinear water-wave computations
- A new approach to analyticity of Dirichlet-Neumann operators
- A high-order cnoidal wave theory
- A fully dispersive weakly nonlinear model for water waves
- Resonant reflection of surface water waves by periodic sandbars
- A high-order spectral method for the study of nonlinear gravity waves
- Limiting gravity waves in water of finite depth
- On the mass, momentum, energy and circulation of a solitary wave. II
- Integral properties of periodic gravity waves of finite amplitude
- Steep gravity waves in water of arbitrary uniform depth
- An operator expansion formalism for nonlinear surface waves over variable depth
- On generalized Bragg scattering of surface waves by bottom ripples
- Boussinesq-type formulations for fully nonlinear and extremely dispersive water waves: derivation and analysis
- Computer extension and analytic continuation of Stokes’ expansion for gravity waves
- A derivation of the Green-Naghdi equations for irrotational flows
- Stability of high-order perturbative methods for the computation of Dirichlet-Neumann operators
- On the efficient numerical simulation of directionally spread surface water waves
