A numerical study of submarine-landslide-generated waves and run-up

A mathematical model is derived to describe the generation and propagation of water waves by a submarine landslide. The model consists of a depth-integrated continuity equation and momentum equations, in which the ground movement is the forcing function. These equations include full nonlinear, but weak frequencydispersion, e¬ects. The model is capable of describing wave propagation from relatively deep water to shallow water. Simpli­ ed models for waves generated by small sea®oor displacement or creeping ground movement are also presented. A numerical algorithm is developed for the general fully nonlinear model. Comparisons are made with a boundary integral equation method model, and a deep-water limit for the depth-integrated model is determined in terms of a characteristic side length of the submarine mass. The importance of nonlinearity and frequency dispersion in the wave-generation region and on the shoreline movement is discussed.