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Tsunami Run-Up on a Plane Beach in a Tidal Environment

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Abstract

We analytically solve the nonlinear shallow water theory for the tsunami run-up on a plane beach in the presence of tide and show that over a plane beach the tide in the nearshore zone can be considered static (uniform in space and frozen in time). With this assumption, we find an exact analytical solution for the tsunami run-up height as a function of the amplitude of the incident wave and analyse the influence of the tide on the tsunami run-up characteristics. We confirm these results by calculation of the total tsunami and tidal run-up field using analytical solutions of the initial nonlinear shallow water equations.

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Acknowledgements

This study was supported by ETAG project PUT1378, RFBR grants (17-05-00067, 18-05-80019, and 18-35-20026), and a grant from the President of the Russian Federation for state support of leading scientific schools of the Russian Federation (NSh-2685.2018.5).

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Authors and Affiliations

  1. Department of Marine Systems, Tallinn University of Technology, Tallinn, Estonia

    Ira Didenkulova

  2. Nizhny Novgorod State Technical University n.a. R.E. Alekseev, Nizhny Novgorod, Russia

    Ira Didenkulova & Efim Pelinovsky

  3. Institute of Applied Physics, Nizhny Novgorod, Russia

    Efim Pelinovsky

  4. National Research University, Higher School of Economics, Moscow, Russia

    Efim Pelinovsky

  5. Special Research Bureau for Automation of Marine Researches, Yuzhno-Sakhalinsk, Russia

    Efim Pelinovsky

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  1. Ira Didenkulova
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  2. Efim Pelinovsky
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Correspondence to Ira Didenkulova.

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Didenkulova, I., Pelinovsky, E. Tsunami Run-Up on a Plane Beach in a Tidal Environment. Pure Appl. Geophys. 177, 1583–1593 (2020). https://doi.org/10.1007/s00024-019-02332-y

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  • DOI: https://doi.org/10.1007/s00024-019-02332-y

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