Abstract: Internal and inertial wave attractors appear as a result of propagation of waves obeying very specific dispersion relation. In closed containers, some boundaries of which are inclined with respect to the anisotropy direction, this may result in domination of focusing of waves upon reflection, and after multiple reflections from the boundaries all the wave packets may be attracted by a closed loop or limit trajectory in physical space. It is well known that for wave attractors in plane geometries the change of the direction of anisotropy to the opposite will not change the geometry of the attractor and direction of flow of energy (in case of internal waves change of anisotropy direction means change of gravity direction and stratification growth). More complicated situation can arise for inertial wave attractors in fully 3D geometry. If we consider an annular layer with an inclined boundary, the change of the angle of inclination of a boundary to the opposite may also affect the geometry of the attractor, and the instability growth for higher amplitude of external forcing.

Cite: Sibgatullin I. , Xu X. , Tretyakov A. , Ermanyuk E.
Influence of geometry on energy flow and instability in inertial wave attractors for rotating annular frustum
AIP Conference Proceedings. 2019. V.2116. 030034 :1-4. DOI: 10.1063/1.5114018 Scopus РИНЦ OpenAlex

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Scopus:	2-s2.0-85069973210
Elibrary:	41631159
OpenAlex:	W2963778464

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