On the shoreline boundary conditions for Boussinesq-type models

DOI10.1002/fld.194zbMath0997.76011OpenAlexW2075478719MaRDI QIDQ2767586

G. Bellotti, Maurizio Brocchini

Publication date: 14 November 2002

Published in: International Journal for Numerical Methods in Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/fld.194

zbMATH Keywords

run-upnonlinear shallow water equationsBoussinesq modelshoreline boundary conditions

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

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A new run-up algorithm based on local high-order analytic expansions ⋮ Approximations of the Carrier–Greenspan periodic solution to the shallow water wave equations for flows on a sloping beach ⋮ Finite volume schemes for dispersive wave propagation and runup ⋮ A comparison of two different types of shoreline boundary conditions

Cites Work

• Water waves of finite amplitude on a sloping beach
• The runup of solitary waves
• Riemann problems and the WAF method for solving the two-dimensional shallow water equations
• Integral flow properties of the swash zone and averaging
• A fully nonlinear Boussinesq model for surface waves. Part 1. Highly nonlinear unsteady waves
• Gravity waves on water of variable depth
• Long waves on a beach