Spectral Boussinesq Modelling of Breaking Waves

by J. A. Battjes, Delft Univ of Technology, Delft, Netherlands,
Y. Eldeberky, Delft Univ of Technology, Delft, Netherlands,
Y. Won, Delft Univ of Technology, Delft, Netherlands,

Document Type: Proceeding Paper

Part of: Ocean Wave Measurement and Analysis


Random waves passing over a shallow bar are considered, in particular the amplification of bound harmonics in shoaling water, their subsequent release in deepening water, and the role of wave breaking. Calculations have been performed utilizing a set of coupled evolution equations for complex Fourier amplitudes based on ideal-fluid Boussinesq-type equations for the wave motion, supplemented with a quasi-linear dissipation term to account for wave breaking. This is used together with the assumption of random, independent initial phases to calculate the evolution of the energy spectrum of the random waves. The results show encouraging agreement with observed spectra both for nonbreaking waves and for breaking waves passing over a bar.

Subject Headings: Random waves | Breaking waves | Water waves | Wave shoaling | Wave spectrum | Wave equations | Mathematical models

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