A staggered-grid numerical algorithm for the extended Boussinesq equations

DOI10.1016/j.apm.2005.11.012zbMath1169.76042OpenAlexW2024985534MaRDI QIDQ924799

Pengzhi Lin, Chuanjian Man

Publication date: 19 May 2008

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2005.11.012

zbMATH Keywords

water waveAdams predictor-corrector methodfourth-order accurate finite difference scheme

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite difference methods applied to problems in fluid mechanics (76M20)

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Cites Work

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• Approximation of radiation boundary conditions
• A finite element method for the one-dimensional extended Boussinesq equations
• 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 ?-coordinate three-dimensional numerical model for surface wave propagation
• A new Boussinesq method for fully nonlinear waves from shallow to deep water
• A finite element method for the two-dimensional extended Boussinesq equations
• Modified Boussinesq equations and associated parabolic models for water wave propagation
• A fully nonlinear Boussinesq model for surface waves. Part 1. Highly nonlinear unsteady waves
• Long waves on a beach

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