Transition from wave turbulence to acousticlike shock-wave regime
Guillaume Ricard, Éric Falcon
Abstract
An experiment is performed to examine the previously unobserved transition from a dispersive wave-turbulence regime to a nondispersive shock-wave regime on the surface of a fluid. Using a magnetic liquid subjected to a high enough external magnetic field, a set of random shock waves is indeed observed on the free surface. Their spectrum is then found to be well modeled by a spectrum of singularities (Kuznetsov-like spectrum), and their statistics are close to the predictions from the one-dimensional random-forced Burgers' equation.
Topics & Concepts
TurbulencePhysicsShock waveWave turbulenceFree surfaceShock (circulatory)Magnetic fieldMechanicsGravitational singularitySurface waveSpectrum (functional analysis)Classical mechanicsStatistical physicsOpticsQuantum mechanicsInternal medicineMedicineOcean Waves and Remote SensingOceanographic and Atmospheric ProcessesIonosphere and magnetosphere dynamics