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Article Dans Une Revue Physical Review Fluids Année : 2023

Transition from wave turbulence to acousticlike shock-wave regime

Guillaume Ricard
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Eric Falcon
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Résumé

We report on the experimental observation of a transition from a dispersive wave turbulence regime to a nondispersive regime involving shock waves on the surface of a fluid. We use a magnetic fluid in a canal subjected to an external horizontal magnetic field to tune the dispersivity of the system. For a low magnetic field, gravity-capillary wave turbulence is observed, whereas for a high enough field, random steep coherent structures arise which are found to be shock waves. These shock waves create singularities in the second-order difference of the surface elevation, leading to an ω −4 frequency power spectrum. This spectrum is also found to be controlled by the number and amplitude of the shocks and is well captured by a model based on a random Dirac-δ distribution (Kuznetsov-like spectrum). Finally, the shock-amplitude statistics exhibits a power-law distribution with an exponent close to the predictions of the one-dimensional random-forced Burgers equation. This shock-wave regime, discovered here for surface waves, thus paves the way to better explore their properties.
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Dates et versions

hal-03954068 , version 1 (24-01-2023)

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Guillaume Ricard, Eric Falcon. Transition from wave turbulence to acousticlike shock-wave regime. Physical Review Fluids, 2023, 8, pp.014804. ⟨10.1103/PhysRevFluids.8.014804⟩. ⟨hal-03954068⟩

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