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Wave motions in a stably-neutrally stratified ocean

  • Marine Physics
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Oceanology Aims and scope

Abstract

Wave spectrum of rotating stably-neutrally stratified fluid consisting of the stably stratified upper layer and the homogeneous lower one is studied. The density and other fields are assumed to be continuous at the interface between the layers. The study does not use the traditional (when the horizontal component of the Earth’s rotation is neglected) and hydrostatic approximations. The spectrum is rather complicated and consists of the super-inertial internal waves, the sub-inertial gyroscopic waves, and the sub- and super-inertial internal inertio-gravity waves. In the long-wave approximation the internal and internal inertio-gravity waves span both the layers, whereas the gyroscopic waves are localized in the lower layer and are close to the inertial oscillations. The sub-inertial wave motions observed in the nearly barotropic deep Western Mediterranean can be related to the gyroscopic waves.

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References

  1. S. I. Badulin, V. M. Vasilenko, and M. I. Yaremchuk, “Specific interpretation of quasi-inertial motions by example of Megapoligon,” Izv. Akad. Nauk SSSR, Fiz. Atmos. Okean. 27 (6), 635–647 (1991).

    Google Scholar 

  2. L. M. Brekhovskikh and V. V. Goncharov, Introduction to Mechanics of Solid Media: Applied to the Wave Theory (Nauka, Moscow, 1982) [in Russian].

    Google Scholar 

  3. V. M. Kamenkovich, Principles of Ocean Dynamics (Gidrometeoizdat, Leningrad, 1973) [in Russian].

    Google Scholar 

  4. P. H. LeBlond and L. A. Mysak, Waves in the Ocean (Elsevier, Amsterdam, 1978; Mir, Moscow, 1981).

    Google Scholar 

  5. Yu. Z. Miropol’skii, Dynamics of Internal Gravity Waves in the Ocean (Gidrometeoizdat, Leningrad, 1981) [in Russian].

    Google Scholar 

  6. T. Gerkema and E. Exarchou, “Internal-wave properties in weakly stratified layers,” J. Mar. Res. 66 (5), 617–644 (2008).

    Article  Google Scholar 

  7. T. Gerkema and V. I. Shrira, “Near-inertial waves in the ocean: beyond the traditional approximation,” J. Fluid Mech. 529, 195–219 (2005).

    Article  Google Scholar 

  8. T. Gerkema, J. T. F. Zimmerman, L. R. M. Maas, and H. van Haren, “Geophysical and astrophysical fluid dynamics beyond the traditional approximation,” Rev. Geophys. 46 (2), RG2004 (2008).

    Article  Google Scholar 

  9. A. Kasahara, “The roles of the horizontal component of the Earth’s angular velocity in nonhydrostatic linear models,” J. Atmos. Sci. 60 (8), 1085–1095 (2003).

    Article  Google Scholar 

  10. G. M. Reznik, “Geostrophic adjustment with gyroscopic waves: barotropic fluid without traditional approximation,” J. Fluid Mech. 743, 585–605 (2014).

    Article  Google Scholar 

  11. M. L. Timmermans, H. Melling, and L. Rainville, “Dynamics in the deep Canada basin, Arctic Ocean, inferred by thermistor chain time series,” J. Phys. Ocean. 37 (4), 1066–1076 (2007).

    Article  Google Scholar 

  12. H. van Haren and C. Millot, “Gyroscopic waves in the Mediterranean Sea,” Geophys. Res. Lett. 32 (24), L24614 (2005).

    Article  Google Scholar 

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Correspondence to G. M. Reznik.

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Original Russian Text © G.M. Reznik, 2015, published in Okeanologiya, 2015, Vol. 55, No. 6, pp. 875–882.

The article was translated by the authors.

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Reznik, G.M. Wave motions in a stably-neutrally stratified ocean. Oceanology 55, 789–795 (2015). https://doi.org/10.1134/S0001437015060168

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  • DOI: https://doi.org/10.1134/S0001437015060168

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