Experimental study of integrable turbulence in shallow water
Ivan Redor, Hervé Michallet, Nicolas Mordant, Éric Barthélemy
Abstract
Integrable turbulence theoretically describes system states (in optics, hydrodynamics) where nonlinear phenomena dominate. Fourier analysis is challenged by the richness of such states also featuring solitons. Bidirectional soliton gases are generated in a straight 34 m long shallow water wave flume. The soliton content is quantified with a direct scattering transform provided by the finite-gap theory of the KdV equation. The conditions of soliton gas occurrence are discussed with regards to the wave-maker energy input and the viscous dissipation. The results of this study open up perspectives, for instance, to the understanding of sea states in shallow water.
Topics & Concepts
KurtosisPhysicsTurbulenceAmplitudeIntegrable systemSkewnessWave turbulenceMechanicsClassical mechanicsComputational physicsMathematicsOpticsMathematical physicsStatisticsOcean Waves and Remote SensingOceanographic and Atmospheric ProcessesTropical and Extratropical Cyclones Research