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Fluid Dynamics

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01.12.2023

Mathematical Modeling of Dynamics of Internal Gravity Waves in the Ocean with Arbitrary Distribution of Buoyancy Frequency

verfasst von: V. V. Bulatov

Erschienen in: Fluid Dynamics | Sonderheft 2/2023

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Abstract

The paper considers the problem about mathematical modeling of internal gravity waves in ocean of finite depth with an arbitrary distribution of buoyancy frequency excited by moving perturbation source. In the linear formulation, the main dispersion characteristics determining the properties of excited far wave fields are analytically and numerically investigated. It is shown that far wave fields of an individual mode is a sum of separate wave packages. The phase and amplitude structures of far fields of internal gravity waves from moving perturbation sources are numerically investigated for various modes of wave generation.

Vorheriger Artikel Asymptotics of Far Fields of Internal Gravity Waves Caused by Localized Sources in an Infinite Deep Stratified Medium

Nächster Artikel Asymptotics of Far Fields of Internal Gravity Waves in Stratified Media of Variable Depth

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Lighthill, J., Waves in Fluids, Cambridge: Cambridge Univ. Press, 1978.

Miropol’sky, Yu.Z., Dynamics of Internal Gravity Waves in the Ocean, Shishkina, O.D., Ed., Atmospheric and Oceanographic Sciences Library, vol. 24, Berlin: Springer, 2001. https://doi.org/10.1007/978-94-017-1325-2

Kharif, C., Pelinovsky, E., and Slunyaev, A., Rogue Waves in the Ocean, Advances in Geophysical and Environmental Mechanics and Mathematics, Berlin: Springer, 2009. https://doi.org/10.1007/978-3-540-88419-4

Özsoy, E., Geophysical Fluid Dynamics II: Stratified / Rotating Fluid Dynamics of the Atmosphere–Ocean, Springer Textbook in Earth Sciences. Geography and Environment, Cham: Springer, 2021. https://doi.org/10.1007/978-3-030-74934-7

Bulatov, V.V. and Vladimirov, Yu.V., Volny v stratifitsirovannykh sredakh (Waves in Stratified Media), Moscow: Nauka, 2015.

Morozov, E.G., Oceanic Internal Tides: Observations, Analysis and Modeling: A Global View, Dordrecht: Springer, 2018. https://doi.org/10.1007/978-3-319-73159-9CrossRef

The Ocean in Motion: Circulation, Waves, Polar Oceanography, Tarakanov, R.Yu., Marchenko, A.V., and Velarde, M.G., Eds., Ocean Oceanography, Dordrecht: Springer, 2018. https://doi.org/10.1007/978-3-319-71934-4CrossRef

Voelker, G.S., Myers, P.G., Walter, M., and Sutherland, B.R., Generation of oceanic internal gravity waves by a cyclonic surface stress disturbance, Dyn. Atmospheres Oceans, 2019, vol. 86, pp. 116–133. https://doi.org/10.1016/j.dynatmoce.2019.03.005ADSCrossRef

Belyaev, M.Yu., Desinov, L.V., Krikalev, S.K., Kumakshev, S.A., and Sekerzh-Zen’kovich, S.Ya., Identification of a system of oceanic waves based on space imagery, J. Comput. Syst. Sci. Int., 2009, vol. 48, no. 1, pp. 110–120. https://doi.org/10.1134/s1064230709010109MathSciNetCrossRef

10.

Morozov, E.G., Tarakanov, R.Yu., Frey, D.I., Demidova, T.A., and Makarenko, N.I., Bottom water flows in the tropical fractures of the Northern Mid-Atlantic Ridge, J. Oceanography, 2018, vol. 74, no. 2, pp. 147–167. https://doi.org/10.1007/s10872-017-0445-xCrossRef

11.

Khimchenko, E.E., Frey, D.I., and Morozov, E.G., Tidal internal waves in the Bransfield Strait, Antarctica, Russ. J. Earth Sci., 2006, vol. 20, no. 2, p. ES2006. https://doi.org/10.2205/2020es000711

12.

Pannard, A., Beisner, B.E., Bird, D.F., Braun, J., Planas, D., and Bormans, M., Recurrent internal waves in a small lake: Potential ecological consequences for metalimnetic phytoplankton populations, Limnology Oceanography: Fluids Environ., 2011, vol. 1, no. 1, pp. 91–109. https://doi.org/10.1215/21573698-1303296CrossRef

13.

Meunier, P., Le Dizès, S., Redekopp, L., and Spedding, G.R., Internal waves generated by a stratified wake: Experiment and theory, J. Fluid Mech., 2018, vol. 846, pp. 752–788. https://doi.org/10.1017/jfm.2018.278ADSCrossRef

14.

Staquet, C. and Sommeria, J., Internal gravity waves: From instabilities to turbulence, Annu. Rev. Fluid Mech., 2002, vol. 34, no. 1, pp. 559–593. https://doi.org/10.1146/annurev.fluid.34.090601.130953ADSMathSciNetCrossRef

15.

Gervais, A.D., Swaters, G.E., and Sutherland, B.R., Transmission and reflection of three-dimensional Boussinesq internal gravity wave packets in nonuniform retrograde shear flow, Phys. Rev. Fluids, 2022, vol. 7, no. 11, p. 114802. https://doi.org/10.1103/physrevfluids.7.114802

16.

Abdilghanie, A.M. and Diamessis, P.J., The internal gravity wave field emitted by a stably stratified turbulent wake, J. Fluid Mech., 2013, vol. 720, pp. 104–139. https://doi.org/10.1017/jfm.2012.640ADSCrossRef

17.

Rees, T., Lamb, K.G., and Poulin, F.J., Asymptotic analysis of the forced internal gravity wave equation, SIAM J. Appl. Math., 2012, vol. 72, no. 4, pp. 1041–1060. https://doi.org/10.1137/110842892MathSciNetCrossRef

18.

Sutherland, B.R., Excitation of superharmonics by internal modes in non-uniformly stratified fluid, J. Fluid Mech., 2016, vol. 793, pp. 335–352. https://doi.org/10.1017/jfm.2016.108ADSMathSciNetCrossRef

19.

Chen, T., Li, Z., Nai, H., Liu, H., Shan, H., and Jia, Yo., Seabed dynamic responses induced by nonlinear internal waves: New insights and future directions, J. Mar. Sci. Eng., 2023, vol. 11, no. 2, p. 395. https://doi.org/10.3390/jmse11020395CrossRef

20.

Miles, J.W., Internal waves generated by a horizontally moving source, Geophys. Fluid Dyn., 1971, vol. 2, no. 1, pp. 63–87. https://doi.org/10.1080/03091927108236052ADSCrossRef

21.

Gray, E.P., Hart, R.W., and Farrell, R.A., The structure of the internal wave Mach front generated by a point source moving in a stratified fluid, Phys. Fluids, 1983, vol. 26, no. 10, pp. 2919–2931. https://doi.org/10.1063/1.864057ADSMathSciNetCrossRef

22.

Kallén, E., Surface effects of vertically propagation waves in a stratified fluid, J. Fluid Mech., 1987, vol. 148, pp. 111–125. https://doi.org/10.1017/S002211208700226XADSCrossRef

23.

Voisin, B., Lee waves from a sphere in a stratified flow, J. Fluid Mech., 2007, vol. 574, pp. 273–315. https://doi.org/10.1017/s0022112006004095ADSMathSciNetCrossRef

24.

Adcroft, A. and Campin, J.-M., MIT User Manual, Cambridge, Mass.: MIT, 2011.

25.

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, no. 3, pp. 374–388. https://doi.org/10.1134/s0015462819020095ADSMathSciNetCrossRef

26.

Chai, J., Wang, Z., Yang, Z., and Wang, Z., Investigation of internal wave wakes generated by a submerged body in a stratified flow, Ocean Eng., 2022, vol. 266, p. 112840. https://doi.org/10.1016/j.oceaneng.2022.112840

27.

Li, T., Wan, M., Wang, J., and Chen, S., Flow structures and kinetic-potential exchange in forced rotating stratified turbulence, Phys. Rev. Fluids, 2020, vol. 5, no. 1, p. 14802. https://doi.org/10.1103/physrevfluids.5.014802ADSCrossRef

28.

Gnevyshev, V. and Badulin, S., Wave patterns of gravity–capillary waves from moving localized sources, Fluids, 2020, vol. 5, no. 4, p. 219. https://doi.org/10.3390/fluids5040219ADSCrossRef

29.

Svirkunov, P.N. and Kalashnik, M.V., Phase patterns of dispersive waves from moving localized sources, Physics-Uspekhi, 2014, vol. 57, no. 1, pp. 80–91. https://doi.org/10.3367/ufne.0184.201401d.0089ADSCrossRef

30.

Bulatov, V.V., Vladimirov, Yu.V., and Vladimirov, I.Yu., Uniform and nonuniform asymptotics of far surface fields from a flashed localized source, Fluid Dyn., 2021, vol. 56, no. 7, pp. 975–980. https://doi.org/10.1134/s001546282107003xADSMathSciNetCrossRef

31.

Bulatov, V.V. and Vladimirov, I.Yu., Uniform asymptotics of internal gravitational wave fields from an initial radially symmetric perturbation, Fluid Dyn., 2021, vol. 56, no. 8, pp. 1112–1118. https://doi.org/10.1134/s0015462821080103ADSMathSciNetCrossRef

32.

Fröman, N. and Fröman, P., Physical Problems Solved by the Phase-Integral Method, Cambridge Univ. Press, 2002. https://doi.org/10.1017/cbo9780511535086CrossRef

33.

Borovikov, V.A., Uniform Stationary Phase Method, IEE Electromagnetic Waves, vol. 40, London: Inst. Electrical Engineers, 1994.

34.

Kravtsov, Yu.A. and Orlov, Yu.I., Caustics As Catastrophes, Springer Series on Wave Phenomena, vol. 15, Berlin: Springer, 1999. https://doi.org/10.1007/978-3-642-59887-6

Titel: Mathematical Modeling of Dynamics of Internal Gravity Waves in the Ocean with Arbitrary Distribution of Buoyancy Frequency
verfasst von: V. V. Bulatov
Publikationsdatum: 01.12.2023
Verlag: Pleiades Publishing
Erschienen in: Fluid Dynamics / Ausgabe Sonderheft 2/2023
Print ISSN: 0015-4628
Elektronische ISSN: 1573-8507
DOI: https://doi.org/10.1134/S0015462823603169

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