TRANSIENT PROPAGATION OF WAVES IN A FLUME

Abstract

A recently developed numerical method is applied to the study of transient, nonlinear wave propagation in a flume. The nonlinear free surface boundary conditions and the wave generator boundary condition are expanded about the corresponding equilibrium positions by perturbation expansions. The boundary conditions are then satisfied to second order by a numerical integration in time, and the field solution at each time step is obtained by an integral equation method based on Green's theorem. The propagation characteristics of regular, trichromatic and irregular waves are studied numerically, and the significance of nonlinear effects is highlighted.