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Internal and Inertial Wave Attractors: A Review

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Journal of Applied Mechanics and Technical Physics Aims and scope

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 due to wave reflection from sloping 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 concept of wave attractors from ray-theory predictions to observations of wave turbulence in physical and numerical experiments is described.

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Authors and Affiliations

  1. Shirshov Institute of Oceanology, Russian Academy of Sciences, Moscow, 117997, Russia

    I. N. Sibgatullin

  2. Ivannikov Institute for System Programming, Russian Academy of Sciences, Moscow, 109004, Russia

    I. N. Sibgatullin

  3. Lomonosov Moscow State University, Moscow, 119991, Russia

    I. N. Sibgatullin

  4. Lavrentev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russia

    E. V. Ermanyuk

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  1. I. N. Sibgatullin
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  2. E. V. Ermanyuk
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Correspondence to I. N. Sibgatullin or E. V. Ermanyuk.

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Original Russian Text © I.N. Sibgatullin, E.V. Ermanyuk.

Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2019, Vol. 60, No. 2, pp. 113–136, March–April, 2019.

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Sibgatullin, I.N., Ermanyuk, E.V. Internal and Inertial Wave Attractors: A Review. J Appl Mech Tech Phy 60, 284–302 (2019). https://doi.org/10.1134/S002189441902010X

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  • DOI: https://doi.org/10.1134/S002189441902010X

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