In this study a set of governing equations describing the evolution of modulated shallow-water waves over a sinusoidally varying topography on a sloping beach is derived. The governing equations include the nonlinear interactions among different wave components as well as the shoaling effect over a slowly varying topography. It has been shown that the incident waves could be resonantly reflected by the interaction with the rippled seabed under the Bragg reflection condition. The magnitude of the resonantly reflected wave is almost equal to those of the incident and the transmitted waves.
|Number of pages||13|
|Journal||Proceedings of the Coastal Engineering Conference|
|State||Published - 1997 Jan 1|
|Event||Proceedings of the 1996 25th International Conference on Coastal Engineering. Part 1 (of 4) - Orlando, FL, USA|
Duration: 1996 Sep 2 → 1996 Sep 6