Accuracy and convergence of velocity formulations for water waves in the framework of Boussinesq theory

DOI10.1017/S0022112002003257zbMath1063.76526OpenAlexW1972343036MaRDI QIDQ4655755

Per A. Madsen, Yehuda Agnon

Publication date: 8 March 2005

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

Full work available at URL: https://doi.org/10.1017/s0022112002003257

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Related Items

Nodal DG-FEM solution of high-order Boussinesq-type equations, An explicit method for the nonlinear interaction between water waves and variable and moving bottom topography, High-order strongly nonlinear long wave approximation and solitary wave solution, A new two-layer Boussinesq model for coastal waves from deep to shallow water: derivation and analysis, Steady solutions of high-level irrotational Green-Naghdi equations for strongly nonlinear periodic waves, Two-layer Boussinesq models for coastal water waves, Analysis of the linear version of a highly dispersive potential water wave model using a spectral approach in the vertical, On the accuracy and applicability of a new implicit Taylor method and the high-order spectral method on steady nonlinear waves, Discontinuous Galerkin methods for solving Boussinesq-Green-Naghdi equations in resolving non-linear and dispersive surface water waves, A high-order Petrov-Galerkin finite element method for the classical Boussinesq wave model, Trough instabilities in Boussinesq formulations for water waves, On truncated Taylor series and the position of their spurious zeros