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Tsunami Wave Run-up on a Vertical Wall in Tidal Environment

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Abstract

We solve analytically a nonlinear problem of shallow water theory for the tsunami wave run-up on a vertical wall in tidal environment. Shown that the tide can be considered static in the process of tsunami wave run-up. In this approximation, it is possible to obtain the exact solution for the run-up height as a function of the incident wave height. This allows us to investigate the tide influence on the run-up characteristics.

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Acknowledgements

This work is supported by the state programme of the Ministry of Education and Science of the Russian Federation (project No. 5.5176.2017/8.9), Russian President Grant MD-6373.2016.5, PUT1378 and RFBR Grants (16-55-52019 and 17-05-00067).

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Correspondence to Ira Didenkulova.

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Didenkulova, I., Pelinovsky, E. Tsunami Wave Run-up on a Vertical Wall in Tidal Environment. Pure Appl. Geophys. 175, 1387–1391 (2018). https://doi.org/10.1007/s00024-017-1744-2

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  • DOI: https://doi.org/10.1007/s00024-017-1744-2

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