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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2023, Volume 26, Number 1, Pages 77–92
DOI: https://doi.org/10.15372/SJNM20230106 (Mi sjvm830) 		 
The source configuration leading to the accumulation of tsunami wave energy around the round island

An. G. Marchuk, E. D. Moskalenskii

Institute of Computational Mathematics and Mathematical Geophysics of Siberian Branch of Russian Academy of Sciences, Novosibirsk
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DOI: https://doi.org/10.15372/SJNM20230106
Abstract: A two-dimensional eikonal equation which describes the propagation of tsunami wave fronts is considered. The paper presents the spatial form of an initial source of waves which causes accumulation of wave energy along the coastline of a round island. The theoretical results are confirmed by numerical simulation with a shallow water model of tsunami wave dynamics.
Key words: eikonal equation, tsunami, wave front, shallow water equations, wave energy.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 0315-2019-0004
Received: 08.08.2020
Revised: 22.09.2022
Accepted: 23.11.2022
Document Type: Article
UDC: 532.591
Language: Russian
Citation: An. G. Marchuk, E. D. Moskalenskii, “The source configuration leading to the accumulation of tsunami wave energy around the round island”, Sib. Zh. Vychisl. Mat., 26:1 (2023), 77–92
Citation in format AMSBIB
\Bibitem{MarMos23}
\by An.~G.~Marchuk, E.~D.~Moskalenskii
\paper The source configuration leading to the accumulation of tsunami wave energy around the round island
\jour Sib. Zh. Vychisl. Mat.
\yr 2023
\vol 26
\issue 1
\pages 77--92
\mathnet{http://mi.mathnet.ru/sjvm830}
\crossref{https://doi.org/10.15372/SJNM20230106}
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