EGU General Assembly 2020
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Runup of long waves on composite coastal slopes: numerical simulations and experiment

Ira Didenkulova1,2, Andrey Kurkin2, Artem Rodin2, Ahmed Abdalazeez1, and Denys Dutykh3
Ira Didenkulova et al.
  • 1Tallinn University of Technology, Department of Marine Systems, Tallinn, Estonia (
  • 2Nizhny Novgorod State Technical University n.a. R.E.Alekseev, Nizhny Novgorod, Russia
  • 3Univ. Grenoble Alpes, Univ. Savoie Mont Blanc, CNRS, LAMA, Chamberi, France

The goal of this study is to investigate the effect of the bottom shape on wave runup. The obtained results have been confronted with available analytical predictions and a dedicated numerical simulation campaign has been carried out by the team. We study long wave runup on composite coastal profiles. Two types of beach profiles are considered. The Coastal Slope 1 consists of two merged plane beaches with lengths 1.2 m and 5 m and beach slopes tan α = 1:10 and tan β = 1:15 respectively. The Coastal Slope 2 also consists of two sections: plane beach with length 1.2 m and a beach slope α, which is merged with a convex (non-reflecting) beach. The latter is constructed in the way, that its total height and length remain the same as for the Coastal Slope 1.

The study is conducted with numerical (in silico) and experimental approaches.

Experiments have been conducted in the hydrodynamic flume of the Nizhny Novgorod State Technical University n.a. R.E. Alekseev. Both composite beach profiles were constructed in 2019. The Coastal Slope 1 consists of three parts made of aluminum. The plain beach part of the Coastal Slope 2 is also made of aluminum, and the convex profile consists of two parts made of curved PLEXIGLAS organic glass. The water surface oscillations are measured using capacitive and resistive wave gauges with recording frequencies of up to 80 Hz and 100 Hz respectively. Wave runup is measured by a capacitive string sensor installed along the slope.

A series of experiments on the generation and runup of regular wave trains with a period of 1s, 2s, 3s and 4s were carried out. The water level was kept constant for all experiments and was equal to 0.3 meters. Up to now, 21 experiments have been carried out (10 and 11 experiments for each Coastal Slope respectively).

A comparative numerical study is carried out in the framework of the nonlinear shallow water theory and the dispersive theory in the Boussinesq approximation.

As a result, we compare the long wave dynamics on these two bottom profiles and discuss the influence of nonlinearity and dispersion on the characteristics of wave runup. It is shown numerically that, in the framework of the nonlinear shallow water theory, the runup height on the Coastal Slope 2 tends to exceed the corresponding runup height on the Coastal Slope 1, that also agrees with our previous results (Didenkulova et al. 2009; Didenkulova et al. 2018). Taking dispersion into account leads to an increase in the spread in values of the wave runup height. As a consequence, individual cases when the runup height on the Coastal Slope 1 is higher than on the Coastal Slope 2 have been observed. In experimental data, such cases occur more often, so that the advantage of one slope over another is no longer obvious. Note also that the most nonlinear breaking waves with a period of 1s have a greater runup height on Coastal Slope 2 for both models and most experimental data.

How to cite: Didenkulova, I., Kurkin, A., Rodin, A., Abdalazeez, A., and Dutykh, D.: Runup of long waves on composite coastal slopes: numerical simulations and experiment, EGU General Assembly 2020, Online, 4–8 May 2020, EGU2020-14532,, 2020

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  • CC1: Runup height versus maximum offshore wave, Thomas Zengaffinen, 06 May 2020

    Interesting study about the characteristics of wave runup.
    May I specify my question from the live chat? I assume that your NLSW and modified Peregrine models incorporate dry-land inundation. Would it be interesting to calculate amplification factors that relate maximum off-shore sea surface elevation at the gauges to runup height for the two different beach profiles?

    • AC1: Reply to CC1, Ira Didenkulova, 06 May 2020

      Yes and yes!
      Absolutely correct, dry-land inundation.
      Yes to amplification factors. This is actually the first what we check, just for some reason it did not reach the slides. Probably, because work in progress.

      • CC2: Reply to AC1, Thomas Zengaffinen, 07 May 2020

        Thank you.

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