Nonlinear Fate of Internal Wave Attractors

Hélène Scolan, Eugeny Ermanyuk, and Thierry Dauxois
Phys. Rev. Lett. 110, 234501 – Published 7 June 2013

Abstract

We present a laboratory study on the instability of internal wave attractors in a trapezoidal fluid domain filled with uniformly stratified fluid. Energy is injected into the system via standing-wave-type motion of a vertical wall. Attractors are found to be destroyed by parametric subharmonic instability via a triadic resonance which is shown to provide a very efficient energy pathway from long to short length scales. This Letter provides an explanation of why attractors may be difficult or impossible to observe in natural systems subject to large amplitude forcing.

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  • Received 16 January 2013

DOI:https://doi.org/10.1103/PhysRevLett.110.234501

© 2013 American Physical Society

Authors & Affiliations

Hélène Scolan1, Eugeny Ermanyuk1,2, and Thierry Dauxois1

  • 1Laboratoire de Physique de l’École Normale Supérieure de Lyon, Université de Lyon, CNRS, 46 Allée d’Italie, F-69364 Lyon cedex 07, France
  • 2Lavrentyev Institute of Hydrodynamics, Novosibirsk State University, Novosibirsk, Russia

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Issue

Vol. 110, Iss. 23 — 7 June 2013

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