Reflection and Diffraction of Internal Waves analyzed with the Hilbert Transform

Matthieu Mercier (1) , Nicolas B. Garnier (1) , Thierry Dauxois (1)

1 Phys-ENS - Laboratoire de Physique de l'ENS Lyon

We apply the Hilbert transform to the physics of internal waves in two-dimensional fluids. Using this demodulation technique, we can discriminate internal waves propagating in different directions: this is very helpful in answering several fundamental questions in the context of internal waves. We focus more precisely in this paper on phenomena associated with dissipation, diffraction and reflection of internal waves.

Keywords: Internal waves; Nonlinear Physics; Hilbert transform

Domains: Physics [physics]; Mechanics [physics]; Fluid mechanics [physics.class-ph]; Engineering Sciences [physics]; Mechanics [physics.med-ph]; Fluids mechanics [physics.class-ph]

Matthieu Mercier, Nicolas B. Garnier, Thierry Dauxois. Reflection and Diffraction of Internal Waves analyzed with the Hilbert Transform. Physics of Fluids, 2008, 20 (08), pp.0866015. ⟨ensl-00294000⟩