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Combined Numerical Model of Tsunami

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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.

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Funding

This study was supported by the Russian Foundation for Basic Research, project nos. 16-55-50018 and 16-05-00053.

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Authors and Affiliations

  1. Faculty of Physics, Moscow State University, 119991, Moscow, Russia

    M. A. Nosov & S. V. Kolesov

  2. Institute of Marine Geology and Geophysics, Far East Branch, Russian Academy of Sciences, 693022, Yuzhno-Sakhalinsk, Russia

    M. A. Nosov

Authors
  1. M. A. Nosov
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  2. S. V. Kolesov
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Correspondence to M. A. Nosov.

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Translated by N. Podymova

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Nosov, M.A., Kolesov, S.V. Combined Numerical Model of Tsunami. Math Models Comput Simul 11, 679–689 (2019). https://doi.org/10.1134/S2070048219050156

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  • DOI: https://doi.org/10.1134/S2070048219050156

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