Combined Numerical Model of Tsunami

Abstract

A numerical model describing the dynamics of the surface gravity waves and acoustic waves induced in the ocean by small dynamic deformations of the bottom is developed. The model is based on the linear potential theory. The model represents a combination of two dynamically coupled blocks: deep-water and shallow. The deep-water block solves a three-dimensional problem of potential wave theory in the sigma-spherical coordinates; the shallow block solves a two-dimensional problem of shallow water theory in the spherical coordinates. The results of testing the numerical model using the analytical solution of the problem for the flat horizontal bottom are presented. A comparative analysis of the simulation results of tsunamis on November 15, 2006 and January 13, 2007 on the Central Kuril Islands with the use of the newly developed and conventional long-wave models is performed.