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Collapse of Capillary-Gravitational Waves and the Generation of Cumulative Jets

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Abstract

In this paper, we study plane unsteady problems of motion of a free boundary in a potential flow of an ideal incompressible fluid. A numerical algorithm for calculating the shape of the free boundary is constructed based on the boundary-element method. When deriving approximations, the boundary smoothness is taken into account. The main attention is paid to the problems of the formation of thin cumulative jets and wave breaking, as well as substantiation of the reliability of numerical calculations.

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Funding

This work is supported by the state assignment, state registration no. AAAA-A20-120011690138-6.

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Authors and Affiliations

  1. Moscow State University, 119991, Moscow, Russia

    N. D. Baykov

  2. Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, 119526, Moscow, Russia

    A. G. Petrov

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  1. N. D. Baykov
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  2. A. G. Petrov
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Correspondence to N. D. Baykov or A. G. Petrov.

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Translated by A. Ivanov

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Baykov, N.D., Petrov, A.G. Collapse of Capillary-Gravitational Waves and the Generation of Cumulative Jets. Fluid Dyn 55, 953–964 (2020). https://doi.org/10.1134/S0015462820080030

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  • DOI: https://doi.org/10.1134/S0015462820080030

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