Abstract
A problem of the far field of internal gravity waves excited by an oscillating point source of perturbations in a stratified medium with a shear flow is solved. A model distribution of the shear flow velocity by depth is considered and an analytical solution to this problem is obtained in the form of the characteristic Green function expressed in terms of the modified Bessel functions of the imaginary index. Expressions for dispersion relations are obtained and integral representations of solutions are constructed. The dependences of the wave characteristics of the excited fields on the main parameters of the used stratification models, flows, and generation regimes are investigated.
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References
A. L. Fabrikant, and Yu. A. Stepanyants, Propagation of Waves in Shear Flows (World Sci., Berlin, 1998).
J. Pedlosky, Waves in the Ocean and Atmosphere: Introduction to Wave Dynamics (Springer, Berlin-Heildelberg, 2010).
B. R. Sutherland, Internal Gravity Waves (Cambridge Univ. Press, Cambridge, 2010).
V. V. Bulatov, and Yu. V. Vladimirov, Waves in Stratified Media (Nauka, Moscow, 2015) [in Russian].
V. Vlasenko, N. Stashchuk, and K. Hutter, Baroclinic Tides (Cambridge Univ. Press, New York, 2005).
E. G. Morozov, Oceanic Internal Tides. Observations, Analysis and Modeling (Springer, Berlin, 2018).
M. G. Velarde, R. Yu. Tarakanov, and A. V. Marchenko, The Ocean in Motion (Springer Oceanography, Berlin, 2018).
F. Fraternale, L. Domenicale, G. Staffilan, and D. Tordella, “Internal Waves in Sheared Flows: Lower Bound of the Vorticity Growth and Propagation Discontinuities in the Parameter Space,” Phys. Rev. 97 (6), 063102 (2018).
P. N. Svirkunov, and M. V. Kalashnik, “Phase Patterns of Dispersing Waves from Moving Localized Sources,” Usp. Fiz. Nauk 184 (1), 89–100 (2014) [Physics-Uspekhi 57 (1), 80–91 (2014)].
V. V. Bulatov, and Yu. V. Vladimirov, “Internal Gravity Waves Generated by an Oscillating Source of Perturbations Moving with Subcritical Velocity,” Prikl. Mekh. Tekh. Fiz. 58(6), 50–57 (2017) [J. Appl. Mech. Tech. Phys. 58 (6), 997–1003 (2017)].
D. I. Frey, A. N. Novigatsky, M. D. Kravchishina, and E. G. Morozov, “Water Structure and Currents in the Bear Island Trough in July-August 2017,” Russ. J. Earth Sci. 17, ES3003 (2017).
E. G. Morozov, R. Yu. Tarakanov, D. I. Frey, et al., “Bottom Water Flows in the Tropical Fractures of the Northern Mid-Atlantic Ridge,” J. Oceanography 74 (2), 147–167 (2018).
A. F. Nikiforov, and V. V. Uvarov, Special Functions of Mathematical Physics (Izdat. Dom Intellekt, Moscow, 2008) [in Russian].
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Original Russian Text © V.V. Bulatov, Yu.V. Vladimirov.
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 60, No. 6, pp. 45–52, November-December, 2019.
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Bulatov, V.V., Vladimirov, Y.V. Far Fields of Internal Waves Excited by a Pulsing Source in a Stratified Medium with Shear Flows. J Appl Mech Tech Phy 60, 1013–1019 (2019). https://doi.org/10.1134/S0021894419060051
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DOI: https://doi.org/10.1134/S0021894419060051