Boussinesq-type equations with improved nonlinear performance

DOI10.1016/S0165-2125(00)00071-8zbMath1074.76547MaRDI QIDQ1608040

James T. Kirby, Qin Chen, Andrew B. Kennedy, Robert A. Dalrymple

Publication date: 1 September 2002

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

zbMATH Keywords

reference elevationStokes expansions

Mathematics Subject Classification ID

Waves for incompressible viscous fluids (76D33)

Related Items (11)

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 ⋮ Low-order Boussinesq models based on coordinate series expansions ⋮ Alternative forms of enhanced Boussinesq equations with improved nonlinearity ⋮ A mathematical model for weakly nonlinear water wave propagation ⋮ Dispersive Shallow Water Wave Modelling. Part I: Model Derivation on a Globally Flat Space ⋮ Boussinesq-type equations for wave-current interaction ⋮ Mechanical balance laws for Boussinesq models of surface water waves ⋮ Trough instabilities in Boussinesq formulations for water waves ⋮ Analytical and Rothe time-discretization method for a Boussinesq-type system over an uneven bottom ⋮ An extension of the Boussinesq-type models to weakly compressible flows

Cites Work

• Unnamed Item
• 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
• A fully nonlinear Boussinesq model for surface waves. Part 1. Highly nonlinear unsteady waves
• Long waves on a beach

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