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This article is cited in 11 scientific papers (total in 11 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
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
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
Linking options:
https://www.mathnet.ru/eng/sjvm590 https://www.mathnet.ru/eng/sjvm/v18/i4/p377
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Abstract page: | 342 | Full-text PDF : | 259 | References: | 30 | First page: | 8 |
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