Combined numerical model of tsunami

M. A. Nosov ; S. V. Kolesov

Matematičeskoe modelirovanie, Tome 31 (2019) no. 1, pp. 44-62.

Résumé

A numerical model describing dynamics of surface gravity waves and acoustic waves excited in the ocean by small dynamic deformations of the bottom is constructed. 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 a sigma-spherical coordinates, the shallow block — a two-dimensional problem of shallow water theory in spherical coordinates. Results of testing of the numerical model with use of analytical solution of the problem in case of flat horizontal bottom are shown. A comparative analysis of results of simulations of tsunamis on November 15, 2006 and January 13, 2007 on the Central Kuril Islands with use of newly constructed and traditional long-wave models is carried out.

Détail

Keywords: tsunami waves, potential theory, long-wave theory, numerical simulation.
Mots-clés : phase dispersion

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