A combined refraction-diffraction-dissipation model of wave propagation
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Abstract
A numerical model based on the mild-slope equation of water wave propagation over complicated bathymetry, taking into account the combined effects of refraction, diffraction and dissipation due to wave breaking is presented. Wave breaking is simulated by modifying the wave height probability density function and the wave energy dissipation mechanism is parameterized according to that of the hydraulic jump formulation. Solutions of the wave height, phase function, and the wave direction at every grid point are obtained by finite difference approximation of the governing equations, using Gauss-Seidel Iterative Method (GSIM) row by row. Its computational convenience allows it to be applied to large coast regions to study the wave transformation problem. Several case studies have been made and the results compare very well with the experiment data and other model solutions. The capability and utility of the model for real coast areas are illustrated by application to a shallow bay of northeast Australia.
Key words
wave propagation refraction diffraction dissipationPreview
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