Direct numerical simulations of capillary wave turbulence

Luc Deike, Daniel Fuster, Michael Berhanu, Eric Falcon

Research output: Contribution to conferencePaperpeer-review


Direct numerical simulations of the full two phase Navier-Stokes equations including surface tension in order to investigate capillary wave turbulence are performed for the first time, using the code Gerris [1]. Wave turbulence concerns the study of the statistical properties of a set of numerous nonlinear interacting waves [2]. Waves are observed to follow the linear dispersion relation of capillary waves and a stationary regime is reached. The wave height power spectrum in the wave-number-space or in the frequency-space exhibits power law regimes and shows good agreement with weak turbulence theory [2]. Finally, the scaling of the spectrum with the injected power will be discussed and compared with theoretical and experimental works.

Original languageEnglish (US)
StatePublished - 2020
Externally publishedYes
Event14th European Turbulence Conference, ETC 2013 - Lyon, France
Duration: Sep 1 2013Sep 4 2013


Conference14th European Turbulence Conference, ETC 2013

All Science Journal Classification (ASJC) codes

  • Acoustics and Ultrasonics
  • Astronomy and Astrophysics
  • Atmospheric Science
  • Geophysics


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