Numerical simulation of the tsunami run-up on the coast using the method of large particles

An approach to the computer simulation of a tsunami run-up on the coast is presented, based on nested grids and the large-particle method. The computational algorithms are based on the classical equations of shallow-water theory. The main elements of the developed computational technology are described and the results are given of the verification and validation of numerical algorithms, as well as the mathematical model and of one- and two-dimensional test problems. The capabilities of the algorithms developed by the authors are demonstrated for the calculation of the defining parameters of the tsunami run-up on the coast in the vicinity of the town of Severo-Kurilsk (November 5, 1952).