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This article is cited in 2 scientific papers (total in 2 papers)
Assessing the frequency dispersion influence on the solitary-wave interaction with a constant sloping beach
O. I. Gusevab, G. S. Khakimzianovab, L. B. Chubarovab, D. S. Dutykhcd a Institute of Computational Technologies, Siberian Branch of the Russian Academy of Sciences, 630090, Novosibirsk, Russia
b Novosibirsk State University, 630090, Novosibirsk, Russia
c University of Grenoble-Alpes, Grenoble, 38058 France
d University of Savoy Mont Blanc, Chambery, 73000 France
Abstract:
This article focuses on the effect of frequency dispersion on the wave run-up height and the characteristics of the surface waves reflected from a coastal slope. Calculations are performed within the framework of nonlinear dispersive and nondispersive shallow water models using the original boundary conditions on a moving shoreline. A case study of the problem of solitary wave run-up on flat coastal slopes with parameters close to the characteristics of one of the Kamchatka bays shows that the nondispersive model overestimates the maximum run-up and amplitudes of the reflected waves by 10–20%.
Keywords:
surface waves, water-land boundary, runup on shore, nonlinear dispersive shallow water equations, boundary conditions on the water-land boundary, numerical modeling.
Received: 20.04.2021 Revised: 20.04.2021 Accepted: 26.04.2021
Citation:
O. I. Gusev, G. S. Khakimzianov, L. B. Chubarov, D. S. Dutykh, “Assessing the frequency dispersion influence on the solitary-wave interaction with a constant sloping beach”, Prikl. Mekh. Tekh. Fiz., 62:4 (2021), 114–123; J. Appl. Mech. Tech. Phys., 62:4 (2021), 624–632
Linking options:
https://www.mathnet.ru/eng/pmtf134 https://www.mathnet.ru/eng/pmtf/v62/i4/p114
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Abstract page: | 35 | References: | 4 | First page: | 4 |
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