A two-dimensional non-hydrostatic numerical model for dispersive waves generated by submerged landslides

In this paper, a one-layer non-hydrostatic (NH-1L) model for simulating the generation of surface waves caused by the three-dimensional submerged landslide is developed. The non-hydrostatic model considered here is a depth-integrated version of the three-dimensional continuity and Euler equations, whereas time-varying bathymetry is accommodated in the kinematic equation along the bottom topography. The numerical scheme NH-1L is implemented on a two-dimensional staggered grid and is shown to have weakly dispersive properties. The validation of numerical results with analytical solutions and experimental data shows a satisfactory agreement. Moreover, the NH-1L model is investigated to predict wave run-up in confined bays. Considering its computational efficiency, the proposed NH-1L model provides a viable alternative for simulating wave generation, propagation, and run-up, particularly in cases with weak dispersion effects.