Modelling and simulation of surface water waves

DOI10.1016/S0378-4754(01)00416-5zbMath1063.76059OpenAlexW1971193464MaRDI QIDQ1614032

J. H. Westhuis, Embrecht W. C. Van Groesen

Publication date: 3 September 2002

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0378-4754(01)00416-5

zbMATH Keywords

nonlinear Schrödinger equationKorteweg-de Vries equationfinite difference discretizationfinite element discritization

Mathematics Subject Classification ID

Experimental work for problems pertaining to fluid mechanics (76-05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite difference methods applied to problems in fluid mechanics (76M20) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (3)

Extreme wave phenomena in down-stream running modulated waves ⋮ Numerical modeling of the KdV random wave field ⋮ A variational approach to Boussinesq modelling of fully nonlinear water waves

Cites Work

• Analytical and numerical aspects of certain nonlinear evolution equations. II. Numerical, nonlinear Schrödinger equation
• Difference schemes for solving the generalized nonlinear Schrödinger equation
• Wave groups in uni-directional surface-wave models
• A numerical study of water-wave modulation based on a higher-order nonlinear Schrödinger equation
• Note on a modification to the nonlinear Schrödinger equation for application to deep water waves
• On the hamiltonian theory of surface waves
• On Hamilton's principle for surface waves
• Weakly nonlinear wavepackets in the Korteweg-de Vries equation: The KdV/NLS connection
• Unnamed Item

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