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Numerical Modeling of Sea Waves

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Abstract

The paper describes characteristics of numerical models of surface waves based on full equations for the flow with free surface in potential approximation, as well as their efficiency and applications. A more detailed description is given for the model using the surface following coordinate system. In such coordinate system Laplace equation for the potential transforms into a full elliptical equation that is solved as Poisson equations with iterations in the right-hand side. The method of solution based on separation into analytical solution and the deviation from it is offered. Such approach significantly accelerates the calculations. The problem on the whole is solved for the periodical in both horizontal directions Fourier domain using calculation of the nonlinear terms on a dense grid. The simulation of the wave field development under the action of wind and dissipation was carried out. It is demonstrated that transformation of the basic integral characteristics has a satisfactory agreement with the known data. All possible applications of the approach developed are described.

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ACKNOWLEDGMENTS

The author thanks Olga Chalikova for her assistance with paper preparation.

Funding

This work was supported by the state assignment of Russian Academy of Sciences, project no. 0149-2019-0015 and in a part of Section 2.2 partially by the Russian Foundation for Basic Research, project no. 18-05-01122.

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Authors and Affiliations

  1. Shirshov Institute of Oceanology of Russian Academy of Science, 197110, Moscow, Russia

    D. V. Chalikov

  2. University of Melbourne, 3010, Victoria, Australia

    D. V. Chalikov

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Correspondence to D. V. Chalikov.

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Chalikov, D.V. Numerical Modeling of Sea Waves. Izv. Atmos. Ocean. Phys. 56, 312–323 (2020). https://doi.org/10.1134/S0001433820030032

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