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

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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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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Keywords:

  • cumulative jets
  • boundary-element method
  • wave breaking