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Nonlinear regimes of inertial wave attractors generated by a precessing lid: Zonal flows and Rossby waves Full article

Journal Physics of Fluids
ISSN: 1070-6631
Output data Year: 2023, Volume: 35, Article number : 074110, Pages count : DOI: 10.1063/5.0151736
Authors Subbotin Stanislav Valerʹevich 1 , Shmakova Natalia Dmitrievna 2 , Kozlov Viktor Gennadʹevich 1 , Ermanyuk Evgenii Valerʹevich 2
Affiliations
1 Федеральное государственное бюджетное образовательное учреждение высшего образования "Пермский государственный гуманитарно-педагогический университет"
2 Lavrentyev Institute of Hydrodynamics

Funding (1)

1 Российский научный фонд 23-41-00090

Abstract: Fluid flow excited by inertial waves in a rotating annulus with a trapezoidal cross section is experimentally investigated. The forcing is introduced by the precession of a flat annular lid bounding the cavity. Such a setup allows to investigate interactions between inertial waves and zonal flows in the presence of equivalent topographic beta-effect, and its dynamic behavior under weak and strong forcing is experimentally studied for the first time. Due to the specific dispersion relation of inertial waves, a cavity shape supports wave attractors that appear only for retrograde lid precession. At a relatively low wave intensity, a zonal flow is generated in the vicinity of a “virtual” axial cylinder, the radius of which coincides with the radius of the focusing reflection from the conical bottom. A succession of non-linear regimes is observed as forcing increases, starting with a clearly identifiable case of triadic resonance. Further, the frequency spectrum is progressively enriched by emergence of additional discrete components, gradually reaching the state of “overheated” wave turbulence with a significant continuous background of the frequency spectrum. Finally, a strong low-frequency component develops in the frequency spectrum, and the continuous background of the spectrum decreases dramatically. The low-frequency component corresponds to azimuthally periodic structures identified as Rossby waves. In the case of strong forcing, a long-term variability of zonal-flow velocity at the timescale of tens of forcing periods is observed, which is likely a consequence of the interaction of azimuthal structures corresponding to a rich wave number set.
Cite: Subbotin S.V. , Shmakova N.D. , Kozlov V.G. , Ermanyuk E.V.
Nonlinear regimes of inertial wave attractors generated by a precessing lid: Zonal flows and Rossby waves
Physics of Fluids. 2023. V.35. 074110 . DOI: 10.1063/5.0151736 WOS Scopus РИНЦ OpenAlex
Dates:
Submitted: Mar 24, 2023
Accepted: Jun 21, 2023
Published online: Jul 13, 2023
Identifiers:
Web of science: WOS:001029373300004
Scopus: 2-s2.0-85165310478
Elibrary: 61052446
OpenAlex: W4384207438
Citing:
DB Citing
OpenAlex 12
Scopus 10
Web of science 11
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