A numerical model for landslide-generated waves based on two-dimensional shallow water equations

Based on the finite-volume method and a structured mesh system, a numerical model for simulating landslide-generated waves is developed. The governing equations are the two-dimensional nonlinear shallow water (NLSW) equations with the consideration of a dynamic seabed. The central upwind scheme is used to compute the numerical interface flux. The second-order MUSCL method for variables reconstruction, local bed modification and implicit treatment to bottom friction are used to ensure the properties of well-balanced, conservative and non-negative water depth, as well as the ability to deal with the moving shoreline. The second-order Runge-Kutta method with Strong Stability Preserving (SSP) is adopted to perform the time marching. A series of benchmark cases are simulated and the numerical results are compared with the analytical solution, experimental data and numerical results from other models. It is found the present model can simulate the generation, propagation and runup of the landslide-generated waves for the considered cases with reasonable accuracy.