Generation of intermittent gravitocapillary waves via parametric forcing

Gustavo Castillo and Claudio Falcón
Phys. Rev. E 97, 043101 – Published 3 April 2018

Abstract

We report on the generation of an intermittent wave field driven by a horizontally moving wave maker interacting with Faraday waves. The spectrum of the local gravitocapillary surface wave fluctuations displays a power law in frequency for a wide range of forcing parameters. We compute the probability density function of the local surface height increments, which show that they change strongly across time scales. The structure functions of these increments are shown to display power laws as a function of the time lag, with exponents that are nonlinear functions of the order of the structure function. We argue that the origin of this scale-invariant intermittent spectrum is the Faraday wave pattern breakup due to its advection by the propagating gravity waves. Finally, some interpretations are proposed to explain the appearance of this intermittent spectrum.

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  • Received 8 September 2016
  • Revised 13 February 2018

DOI:https://doi.org/10.1103/PhysRevE.97.043101

©2018 American Physical Society

Physics Subject Headings (PhySH)

Fluid DynamicsStatistical Physics & Thermodynamics

Authors & Affiliations

Gustavo Castillo*

  • Instituto de Ciencias de la Ingeniería, Universidad de O'Higgins, Av. Libertador Bernardo O'Higgins 611, Rancagua, Chile

Claudio Falcón

  • Departamento de Física, Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile, Avenida Blanco Encalada 2008, Santiago, Chile

  • *gustavo.castillo@uoh.cl

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Issue

Vol. 97, Iss. 4 — April 2018

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