Internal and Inertial Wave Attractors: A Review

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,...

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Bibliographic Details
Published in:Journal of applied mechanics and technical physics 2019-03, Vol.60 (2), p.284-302
Main Authors: Sibgatullin, I. N., Ermanyuk, E. V.
Format: Article
Language:English
Subjects:
Applications of Mathematics
Classical and Continuum Physics
Classical Mechanics
Computational fluid dynamics
Fluid flow
Fluid- and Aerodynamics
Mathematical Modeling and Industrial Mathematics
Mechanical Engineering
Physics
Physics and Astronomy
Rotating fluids
Wave power
Wave reflection
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Summary: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.
ISSN:0021-8944
1573-8620
DOI:10.1134/S002189441902010X