Numerical Simulation of Collinear Capillary-Wave Turbulence
arXiv:2011.05636 · doi:10.1134/S0021364020240030
Abstract
We report on direct numerical simulation of quasi-one-dimensional bidirectional capillary-wave turbulence. Although nontrivial three-wave and four-wave resonant interactions are absent in this peculiar geometry, we show that an energy transfer between scales still occurs concentrated around the linear dispersion relation that is broadened by nonlinearity. The wave spectrum displays a clear wave number power-law scaling that is found to be in good agreement with the dimensionally prediction for capillary-wave turbulence involving four-wave interactions. The carried out high-order correlation analysis (bicoherence and tricoherence) confirms quantitatively the dominant role of four-wave quasi-resonant interactions. The Kolmogorov-Zakharov spectrum constant is also estimated numerically. We interpret our results as the first numerical observation of anisotropic capillary-wave turbulence in which four-wave interactions play a dominant role
8 pages, 5 figures
References in corpus (11)
- Weak Turbulent Kolmogorov Spectrum for Surface Gravity Waves
- Capillary wave turbulence on a spherical fluid surface in low gravity
- Direct numerical simulations of capillary wave turbulence
- Observation of nonlinear dispersion relation and spatial statistics of wave turbulence on the surface of a fluid
- Phase randomization of three-wave interactions in capillary waves
- Space-Time Resolved Capillary Wave Turbulence
- Wave turbulence on the surface of a ferrofluid submitted to a magnetic field
- Wave turbulence on the surface of a ferrofluid in a horizontal magnetic field
- Wave turbulence of a liquid surface in an external tangential electric field
- Numerical simulation of the wave turbulence on the surface of a ferrofluid in a horizontal magnetic field
- Wave turbulence in a two-layer fluid: coupling between free surface and interface waves