Numerical Generation and Propagation of Periodical Waves in Time Domain

Abstract

Generation of two dimensional nonlinear waves is simulated numerically by boundary element method. The present scheme is based on the Lagrangian description together with finite difference to the time step. An algorithm to generate waves with any prescribed form is also implanted in the method. The numerical model is verified by studying the case of periodical waves impinging against a vertical wall. Time histories of the evolution of two dimensional periodical waves running up on a sloping beach as well as the distribution of current velocity within the fluid region are then presented.