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Journal Articles EPL - Europhysics Letters Year : 2016

The generalized Doppler effect for surface waves

Guillaume Michel

Abstract

We investigate energy exchanges through scales occurring when a surface wave reflects on a harmonically oscillating wall. We first experimentally evidence the creation of Doppler-shifted waves and measure their height as a function of the oscillation amplitude. Then, we theoretically compute the amplitudes of these new waves in the gravity regime. Both results show that even without bulk non-linearities, oscillating paddles in a fluid container lead to a complex wave energy spectrum competing with the one predicted by wave turbulence. To exemplify this point, we characterize a simple one-dimensional model consisting of a linear wave equation in an oscillating cavity with distinct injection and dissipation mechanisms. It displays features usually associated with non-linearities, as self-similarity in a spectral domain (the so-called inertial range), appearance of energy at larger and/or lower scales than the forcing one and creation of shock waves.
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Dates and versions

hal-01494002 , version 1 (22-03-2017)

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Guillaume Michel. The generalized Doppler effect for surface waves. EPL - Europhysics Letters, 2016, 116 (4), pp.44002. ⟨10.1209/0295-5075/116/44002⟩. ⟨hal-01494002⟩
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