The development of a finite difference model for the propagation of storm waves in shallow waters

Matsoukis, P. (1986) The development of a finite difference model for the propagation of storm waves in shallow waters. Technical Report. Hydraulics Research Wallingford.

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Abstract

A finite difference model has been developed for the simulation of storm waves propagating in coastal waters. These are basically the well known shallow water ("long wave") equations but with additional terms in the momentum equation to account for non-hydrostatic pressure and frequency dispersion. For the numerical integration of these terms, we introduce an interative (interactive) procedure of the predictor-corrector type. The model is validated against the simple analytical solutions both in one and two dimensions and, also against a few physical model data. It is found to simulate successfully all non-linear and dispersive terms in the equations and also reflection and diffraction effects, wave absorbing boundaries and set-down beneath wave groups.

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