Simulation of propagation and run-up of three dimensional landslide-induced waves using a meshless method

Abstract

In this study, a meshless numerical model for the simulation of tsunamis generated by submerged landslides was developed. The phenomena were treated as free surface potential flows governed by the Laplace equation. By using a predictor-corrector time marching approach, the time dependent problem was transformed to a series of boundary value problems (BVP) while at each time step the BVP was solved by a meshless method which employed local polynomial collocation accompanying the weight-least-squares (WLS) approach. The model was validated by comparing the results with experimental data and other numerical results. Then, simulations were carried out in a widened numerical wave flume for the observation of edge waves along the shore.