Dynamics of internal gravity waves in the ocean with shear flows

V V Bulatov; Yu V Vladimirov

doi:10.2205/2020ES000732

DYNAMICS OF INTERNAL GRAVITY WAVES IN THE OCEAN WITH SHEAR FLOWS Dynamics of internal gravity waves in the ocean with shear flows

АА Аа

Published in Russian Journal of Earth Sciences · Volume 20, Issue 4 · Rubric: ORIGINAL ARTICLES

DOI: https://doi.org/10.2205/2020ES000732

Received: 29.10.2021 Accepted: 26.07.2023 Language of publication: ENG

Authors

V V Bulatov

Yu V Vladimirov

V V Bulatov

Ishlinsky Institute for Problems in Mechanics RAS

Yu V Vladimirov

Ishlinsky Institute for Problems in Mechanics RAS

ABSTRACT

The problem of the harmonic internal gravity wave dynamics in a stratified ocean of finite depth with shear flows is solved. Stratification with constant distribution of the buoyancy frequency and various linear dependences of the shear flow on depth were used for the analytical solution of the problem. Dispersion dependences were obtained, which are expressed through a modified Bessel function of an imaginary index. The Debye asymptotics of the modified Bessel function of the imaginary index were used to construct analytical solutions under the Miles stability condition and large Richardson numbers. The asymptotic properties of the dispersion equation are studied. The main analytical properties of dispersion curves are investigated. The results of numerical calculations of the fields of phase structures of the generated internal gravity waves for various models of wave generation are presented.

KEYWORDS

Internal gravity waves, stratified ocean, shear flows, asymptotics, modified Bessel function, dispersion relations

Funding

The work was supported by the Russian Foundation for Basic Research (grant No. 20-01-00111A).

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This work is licensed under Creative Commons Attribution 4.0 International Creative Commons

GOST

Bulatov V. V., Vladimirov Y. V. Dynamics of internal gravity waves in the ocean with shear flows // Russian Journal of Earth Sciences. 2020. no. 4. pp. -. DOI: https://doi.org/10.2205/2020ES000732. (Date of access 20.10.2026).

MLA

V V Bulatov, Vladimirov Y. V.. "Dynamics of internal gravity waves in the ocean with shear flows." Russian Journal of Earth Sciences 20.4 (2020): -. DOI: https://doi.org/10.2205/2020ES000732.

APA

Bulatov V. V., Vladimirov Y. V. (2020). Dynamics of internal gravity waves in the ocean with shear flows. Russian Journal of Earth Sciences, 20(4), -. https://doi.org/10.2205/2020ES000732

Chicago

V V Bulatov, Vladimirov Y. V.. "Dynamics of internal gravity waves in the ocean with shear flows." Russian Journal of Earth Sciences 20, no. 4 (2020): -. https://doi.org/10.2205/2020ES000732.

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{{cite journal | author = Bulatov V. V., Vladimirov Y. V. | title = Dynamics of internal gravity waves in the ocean with shear flows | journal = Russian Journal of Earth Sciences | year = 2020 | volume = 20 | issue = 4 | pages = - | doi = 10.2205/2020ES000732 }}

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DYNAMICS OF INTERNAL GRAVITY WAVES IN THE OCEAN WITH SHEAR FLOWS Dynamics of internal gravity waves in the ocean with shear flows

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