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Sibirskii Zhurnal Vychislitel'noi Matematiki
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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2015, Volume 18, Number 4, Pages 377–388
DOI: https://doi.org/15372/SJNM20150404 (Mi sjvm590) 		 
This article is cited in 12 scientific papers (total in 12 papers)

The assessment of tsunami heights above the bottom slope within the wave-ray approach

An. G. Marchuk

Institute of Computational Mathematics and Mathematical Geophysics SB RAS, 6 Lavrentiev pr., Novosibirsk, 630090, Russia
Full-text PDF (272 kB) Citations (12)
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DOI: https://doi.org/15372/SJNM20150404
Abstract: In this paper, the kinematics of the tsunami wave ray and wave front above an uneven bottom is studied. The formula to determine the wave height along a ray tube is obtained. The exact analytical solution for the wave-ray trajectory above the bottom slope is derived. This solution gives the possibility to determine within the wave-ray approach the tsunami wave heights in an area with a sloping bottom relief. The distribution of the wave-height maxima in the area with the sloping bottom is compared to the one obtained by the numerical computation with a shallow-water model.
Key words: tsunami propagation, shallow-water equations, wave ray, wave front kinematics.
Received: 24.03.2015
Revised: 19.05.2015
English version:
Numerical Analysis and Applications, 2015, Volume 8, Issue 4, Pages 304–313
DOI: https://doi.org/10.1134/S1995423915040047
Bibliographic databases:
Document Type: Article
UDC: 550.344.42
Language: Russian
Citation: An. G. Marchuk, “The assessment of tsunami heights above the bottom slope within the wave-ray approach”, Sib. Zh. Vychisl. Mat., 18:4 (2015), 377–388; Num. Anal. Appl., 8:4 (2015), 304–313
Citation in format AMSBIB
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\pages 377--388
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\transl
\jour Num. Anal. Appl.
\yr 2015
\vol 8
\issue 4
\pages 304--313
\crossref{https://doi.org/10.1134/S1995423915040047}
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Sibirskii Zhurnal Vychislitel'noi Matematiki
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