Internal and Inertial Wave Attractors (Review)
I. N. Sibgatullin1,2,3, E. V. Ermanyuk4
1Shirshov Institute of Oceanology, Russian Academy of Sciences, Moscow, 117997, Russia
2Ivannikov Institute for System Programming, Russian Academy of Sciences, Moscow, 109004, Russia
3Lomonosov Moscow State University, Moscow, 119991, Russia
4Lavrentev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russia
Keywords: аттракторы, внутренние волны, инерционные волны, волновая турбулентность, геофизическая гидродинамика, attractors, internal waves, inertial waves, wave turbulence, geophysical hydrodynamics
Abstract
This paper presents a review of theoretical, experimental, and numerical studies of geometric attractors of internal and/or inertial waves in a stratified and/or rotating fluid. The dispersion relation for such waves defines the relationship between the frequency and direction of their propagation, but does not contain a length scale. A consequence of the dispersion relation is energy focusing during wave reflection from inclined walls. In a limited volume of fluid, focusing leads to the concentration of wave energy near closed geometrical configurations called wave attractors. The evolution of the ideas of wave attractors attractors from ray-theory predictions to observations of wave turbulence in physical and numerical experiments is described.
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