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Generation of intermittent gravitocapillary waves via parametric forcing
Gustavo Castillo1, Claudio Falcón2
1Instituto de Ciencias de la Ingeniería, Universidad de O'Higgins, Av. Libertador Bernardo O'Higgins 611, Rancagua, Chile.
Physical Review. E
|May 16, 2018
Summary
Researchers generated an intermittent wave field using a moving wave maker and Faraday waves. This study reveals scale-invariant intermittent spectra in surface wave fluctuations, offering new insights into fluid dynamics.
Area of Science:
- Fluid dynamics
- Wave phenomena
- Nonlinear physics
Background:
- Faraday waves are standing waves formed on a fluid surface under vertical vibration.
- Intermittent turbulence and scale-invariant spectra are observed in various complex systems.
Purpose of the Study:
- To investigate the generation and characteristics of an intermittent wave field.
- To analyze the spectral properties and statistical behavior of surface wave fluctuations.
Main Methods:
- Generation of an intermittent wave field using a horizontally moving wave maker interacting with Faraday waves.
- Spectral analysis of local surface wave fluctuations.
- Computation of probability density functions and structure functions of surface height increments.
Main Results:
- The surface wave spectrum exhibits a power law in frequency across a range of forcing parameters.
- Surface height increments show strong changes across time scales.
- Structure functions display power laws with nonlinear exponents, indicating intermittency.
Conclusions:
- The observed scale-invariant intermittent spectrum originates from Faraday wave pattern breakup due to advection by gravity waves.
- The findings provide a novel interpretation for intermittent spectra in driven wave systems.
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