Articles | Volume 19, issue 12
https://doi.org/10.5194/nhess-19-2905-2019
https://doi.org/10.5194/nhess-19-2905-2019
Research article
 | 
20 Dec 2019
Research article |  | 20 Dec 2019

Nonlinear deformation and run-up of single tsunami waves of positive polarity: numerical simulations and analytical predictions

Ahmed A. Abdalazeez, Ira Didenkulova, and Denys Dutykh

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Latest update: 23 Oct 2025
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Short summary
This work is based on the authors' idea that asymmetry of a tsunami wave gained during its propagation in the ocean should also influence its run-up height on the slope. This was previously analytically shown by the authors for sinusoidal waves. In the paper, this idea is elaborated for single waves using both semi-analytical and numerical methods. The corresponding formula for the maximum run-up height which takes into account the wave front steepness is proposed.
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