Abstract
This paper considers the problem of generating internal gravity waves that arise when a stratified flow with a shear flow runs into a single underwater obstacle. It is assumed that the buoyancy frequency is constant and the shear flow is linear and one-dimensional. Integral representations of the solution are constructed under the Miles–Howard stability condition. The solutions of the boundary spectral problems have been analytically constructed, which are expressed in terms of the Bessel functions of the imaginary index. The results of numerical calculations of dispersion curves and phase patterns of excited wave fields are presented. The transformation of the phase patterns of the internal gravity waves fields depending on the generation parameters has been studied numerically.
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Funding
The work was carried out on the topics of the state task: V.V. Bulatov (no. AAAA-A20-120011690131-7), I.Yu. Vladimirov (no. FMWE-2021-0002) and partial financial support of the RFBR project no. 20-01-00111А.
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Bulatov, V.V., Vladimirov, I.Y. Internal Gravity Waves in the Ocean with Shear Flows around Underwater Obstacles. Izv. Atmos. Ocean. Phys. 58, 401–405 (2022). https://doi.org/10.1134/S0001433822040028
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DOI: https://doi.org/10.1134/S0001433822040028