Author(s): Jae-Sang Jung; Yong-Sik Cho; Jong-Su Kim; Sang-Il Park
Linked Author(s):
Keywords: Boussinesq equations; Random waves; Nonlinear energy interaction
Abstract: In this study, a couple of ordinary differential equations describing propagation of random waves are derived from the Boussinesq equations. The governing equations are integrated with a 4-th order Runge-Kutta method. By using newly derived wave equations, a nonlinear energy interaction of propagating waves in a constant depth is studied. The characteristics of random waves propagating over a sinusoidally varying topography lying on a sloping beach are also investigated numerically. Incident random waves are generated by using the TMA (TEXEL storm, MARSEN, ARSLOE) shallow-water spectrum. Transmission and reflection of random waves are considerably affected by nonlinearity.
Year: 2005