To the numerical simulation and propagation of tsunami according to the shallow water equations

Abstract

The present paper gives the numerical simulation of tsunami generation and propagation in the ocean with real bathymetry. For the describing of this processes nonlinear shallow water equations are used, which are solved with the help of finite-difference method. Here is considered the problem of tsunami generation by bottom displacements, moving with the any given velocity. The computed displacement of water surface and velocity field in the generation area for a typical seismic source (Alexeev, Gusiakov 1973) is used to specify the initial conditions for computing the propagation of tsunami near the Kuril Islands. The wave field of tsunami and mareograms on the shore line are found. The comparison of the results with those for linear model of the tsunami propagation is carried out.