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Matem. Mod., 2019, Volume 31, Number 1, Pages 44–62 (Mi mm4034)  

This article is cited in 2 scientific papers (total in 2 papers)

Combined numerical model of tsunami

M. A. Nosovab, S. V. Kolesovb

a Institute of Marine Geology and Geophysics, Russian Academy of Sciences
b Lomonosov Moscow State University, Faculty of Physics

Abstract: 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.

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

Funding Agency Grant Number
Russian Foundation for Basic Research 16-55-50018_ЯФ_а
16-05-00053_а


DOI: https://doi.org/10.1134/S0234087919010039

Full text: PDF file (678 kB)
References: PDF file   HTML file

Received: 30.10.2017

Citation: M. A. Nosov, S. V. Kolesov, “Combined numerical model of tsunami”, Matem. Mod., 31:1 (2019), 44–62

Citation in format AMSBIB
\Bibitem{NosKol19}
\by M.~A.~Nosov, S.~V.~Kolesov
\paper Combined numerical model of tsunami
\jour Matem. Mod.
\yr 2019
\vol 31
\issue 1
\pages 44--62
\mathnet{http://mi.mathnet.ru/mm4034}
\crossref{https://doi.org/10.1134/S0234087919010039}
\elib{https://elibrary.ru/item.asp?id=37174950}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. E. Tyatyushkina, A. Kozelkov, A. Kurkin, E. Pelinovsky, V. Kurulin, K. Plygunova, D. Utkin, “Verification of the logos software package for tsunami simulations”, Geosciences, 10:10 (2020), 385  crossref  isi
    2. K. A. Sementsov, A. V. Bolshakova, “A model for the generation of waves in the ocean by seismic bottom movements in sigma-coordinates”, Mosc. Univ. Phys. Bull., 75:1 (2020), 87–94  crossref  isi  scopus
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