电邮这篇文章 Far Fields Asymptotics of Internal Gravity Waves from a Pulse Localized Source in a Rotating Stratified Medium
- 作者: Bulatov V.V.1, Vladimirov I.Y.2
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隶属关系:
- Ishlinsky Institute for Problems in Mechanics RAS
- Shirshov Institute of Oceanology RAS
- 期: 卷 87, 编号 3 (2023)
- 页面: 432-441
- 栏目: Articles
- URL: https://journals.rcsi.science/0032-8235/article/view/138869
- DOI: https://doi.org/10.31857/S0032823523030025
- EDN: https://elibrary.ru/ZSIELU
- ID: 138869
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详细
The problem of constructing asymptotics of the internal gravity waves far fields arising from an impulsive localized source of perturbations in a stratified fluid of finite depth rotating as a whole is solved. In the approximation of constant buoyancy frequency, uniform and nonuniform asymptotics of solutions are constructed to describe far wave fields, which are expressed in terms of the Airy function and its derivative. The exact and asymptotic results are compared, and it is shown that at times longer than several buoyancy periods and at distances of the order of the liquid layer thickness, the obtained asymptotics allow one to describe the amplitude-phase structure of far wave fields.
作者简介
V. Bulatov
Ishlinsky Institute for Problems in Mechanics RAS
编辑信件的主要联系方式.
Email: internalwave@mail.ru
Russia, Moscow
I. Vladimirov
Shirshov Institute of Oceanology RAS
编辑信件的主要联系方式.
Email: iyuvladimirov@rambler.ru
Russia, Moscow
参考
- Miropol’skii Yu.Z., Shishkina O.V. Dynamics of Internal Gravity Waves in the Ocean. Boston: Kluwer Acad. Pub., 2001. 406 p.
- Pedlosky J. Waves in the Ocean and Atmosphere: Introduction to Wave Dynamics. Berlin; Heildelberg: Springer, 2010. 260 p.
- Sutherland B.R. Internal Gravity Waves. Cambridge: Univ. Press, 2010. 394 p.
- Ozsoy E. Geophysical Fluid Dynamics II. Stratified Rotating Fluid Dynamics of the Atmosphere-Ocean. Springer Textbook in Earth Sciences. Geography and Environment. Cham: Springer Nature, 2021. 323 p.
- Morozov E.G. Oceanic Internal Tides. Observations, Analysis and Modeling. Berlin: Springer, 2018. 317 p.
- Velarde M.G., Tarakanov R.Yu., Marchenko A.V. (Eds.). The Ocean in Motion. Springer Oceanogr. Springer Int. Pub. AG, 2018. 625 p.
- Voelker G.S., Myers P.G., Walter M., Sutherland B.R. Generation of oceanic internal gravity waves by a cyclonic surface stress disturbance // Dyn. Atm. Oceans, 2019, vol. 86, pp. 116–133.
- Sidnjaev N.I. Theoretical studies of hydrodynamics in an underwater explosion of a point source // Inzh. zh.: Nauka i Innovastii, 2013, vol. 2. https://engjournal.ru/catalog/appmath/hidden/614.html (in Russian)
- Belyaev M.Y., Desinov L.V., Krikalev S.K. et al. Identification of a system of oceanic waves based on space imagery // J. Comp. Syst. Sci. Int., 2009, vol. 48, pp. 110–120.
- Matyushin P.V. Process of the formation of internal waves initiated by the start of motion of a body in a stratified viscous fluid // Fluid Dyn., 2019, vol. 54 (3), pp. 374–388.
- Chai J., Wang Z., Yang Z., Wang Z. Investigation of internal wave wakes generated by a submerged body in a stratified flow // Ocean Engng., 2022, vol. 266, pp. 112840.
- Ulloa H.N., Fuente A., Nino Y. An experimental study of the free evolution of rotating, nonlinear internal gravity waves in a two-layer stratified fluid //J. Fluid Mech., 2014, vol. 742, pp. 308–339.
- Li T., Wan M., Wang J., Chen S. Flow structures and kinetic-potential exchange in forced rotating stratified turbulence // Phys. Rev. Fluids, 2020, vol. 5, pp. 014802.
- Svirkunov P.N., Kalashnik M.V. Phase patterns of dispersive waves from moving localized sources // Phys. Uspekhi, 2014, vol. 57, pp. 80–91.
- Gnevyshev V., Badulin S. Wave patterns of gravity–capillary waves from moving localized sources // Fluids, 2020, vol. 5, pp. 219.
- Bulatov V.V., Vladimirov Yu.V. Waves in Stratified Medium. Moscow: Nauka, 2015. 735 p. (in Russian)
- Brehovskih L.M., Godin O.A. Acoustic of Inhomogeneous Medium. Vol. 1: Fundamentals of the Theory of Sound Reflection and Propagation. Moscow: Nauka, 2007. 443 p. Vol. 2: Sound Fields in Layered and Three-Dimensionally Inhomogeneous Medium. Moscow: Nauka, 2009. 426 p. (in Russian)
- Kravtsov Y., Orlov Y. Caustics, Catastrophes, and Wave Fields. Berlin: Springer, 1999. 228 p.
- Froman N., Froman P. Physical Problems Solved by the Phase-Integral Method. Cambridge: Univ. Press, 2002. 214 p.
- Babich V.M., Buldyrev V.S. Asymptotic Methods in Short-Wavelenght Diffraction Theory. Oxford: Alpha Sci., 2007. 480 p.
- Bulatov V.V., Vladimirov Yu.V. Far fields of internal gravity waves generated by a perturbation source in a stratified rotating medium // Fluid Dyn., 2016, vol. 51 (5), pp. 633–638.
- Bulatov V.V., Vladimirov I.Yu. Uniform asymptotics of internal gravitational wave fields from an initial radially symmetric perturbation // Fluid Dyn., 2021, vol. 8 (8), pp. 1112–1118.
