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Numerical Simulation of the Sea Surface Rogue Waves within the Framework of the Potential Euler Equations

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Abstract

Direct numerical simulations of wind-generated gravity waves on a 2D sea surface are carried out within the framework of the basic potential equations of hydrodynamics. The data obtained for conditions of deep water, the JONSWAP spectrum and various wave intensities, widths of angular spectrum, and peakedness are processed and the results are discussed. The statistical and spectral characteristics of the waves evolve over a long time. The specific asymmetry of the typical profiles of anomalously high waves is shown. The durations of extreme events, which can be up to several tens of wave periods, are calculated.

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Funding

The study of the role of the high-order nonlinearity effects was carried out within the framework of project of the Russian Science Foundation 19-12-00253. Other studies were supported by the Russian Science Foundation, grant no. 16-17-00041.

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Authors and Affiliations

  1. Institute of Applied Physics of the Russian Academy of Sciences, 603950, Nizhny Novgorod, Russia

    A. Slunyaev & A. Kokorina

  2. Alekseev State Technical University, 603950, Nizhny Novgorod, Russia

    A. Slunyaev & A. Kokorina

  3. National Research University Higher School of Economics, 603155, Nizhny Novgorod, Russia

    A. Slunyaev

Authors
  1. A. Slunyaev
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  2. A. Kokorina
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Correspondence to A. Slunyaev or A. Kokorina.

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Translated by L. Mukhortova

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Slunyaev, A., Kokorina, A. Numerical Simulation of the Sea Surface Rogue Waves within the Framework of the Potential Euler Equations. Izv. Atmos. Ocean. Phys. 56, 179–190 (2020). https://doi.org/10.1134/S0001433820020127

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