Different regimes for water wave turbulence

Adam Przadka (1) , Marek Sobkowiak , Philippe Petitjeans (1) , Agnes Maurel , Vincent Pagneux (2)

1 PMMH - Physique et mécanique des milieux hétérogenes (UMR 7636)
2 LAUM - Laboratoire d'Acoustique de l'Université du Mans

The experimental investigations on gravity-capillary water wave turbulence (WT) were studied. The behavior of the wave energy density in the wavenumber-frequency space was inspected for various forcing frequency bandwidths and forcing amplitudes. Depending on the bandwidth, the gravity spectral slope is found to be either forcing dependent, as classically observed in laboratory experiments, or forcing independent. In the latter case, the wave spectrum is consistent with the Zakharov-Filonenko cascade predicted within WT theory. The studies of the inertial ranges for capillary waves show also the spectral slope close to that predicted by the theory. The scaling laws in the function of the injected power have also been investigated. The wave elevation was measured with good accuracy in time and in space using an optical method (Fourier Transform Profilometry) based on the analysis of the deformation of projected fringes, recently adapted by our group for water waves characterization.

Mots clés: wave turbulence; surface waves

Domaines: Acoustique [physics.class-ph]

Adam Przadka, Marek Sobkowiak, Philippe Petitjeans, Agnes Maurel, Vincent Pagneux. Different regimes for water wave turbulence. Acoustics 2012, Apr 2012, Nantes, France. ⟨hal-00811079⟩