The effect of weak shear and rotation on internal waves

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Frankignoul, Claude J. (2011)

The effect of constant shear on internal waves is studied in a simplified oceanic model with constant Brunt-Väisälä frequency and high dynamical stability. As observed in the non-rotating case (Phillips, 1966), the wave number is rotated, the energy transferred to the mean flow and the frequency decreased. A lower bound at inertial frequency is found as expected, but a shear instability will probably occur before the frequency reaches this limit. Equilibrium frequency spectra are derived and compared to relevant observations. A good agreement is observed with the horizontal kinetic energy spectrum obtained at Site D, below the thermocline, whereas no inconsistency is found in comparison with other (less relevant) oceanic data. It is concluded that the interaction between shear and internal waves could play an important role in some region of the ocean.DOI: 10.1111/j.2153-3490.1970.tb01521.x
  • References (13)
    13 references, page 1 of 2

    Booker, J. R. & Bretherton, F. P. 1967. The critical layer for internal gravity waves in a shear flow. J . Fluid. Mech. 27, 513-539.

    Cox,C. S., Johnson, B. P., Sandstrom, H. &Jones, J. H. 1965. A taut wire mooring for deep temperature recordings, in Ocean Science and Ocean Eng., Trans. Joint Conf. in June 1965 by Marine Tech. SOC.and Am. SOC.Limnol. and Oceanog., 2, 990- 998.

    Cox, C. S. 1966. Energy in semidiurnal internal waves. Reprint of Proc. I A P O Symp. Moscow, May 1966. Institut fur Meereskunde der Universitiit Hamburg.

    Fofonoff, N. P. 1969. Spectral characteristics of internal waves in the ocean. Deep-sea Rea., Suppl. to Vol. 16. 69-71.

    Haurwitz, B., Stommel, H. & Munk, W. H. 1959. On thermal unrest in the ocean, pp. 74-94 in The atmoephere and the 8eu in motion (ed. B. Bolin), 509 pp. Rockefeller University Press.

    Jones, W. L. 1967. Propagation of internal gravity waves in fluids with shear flow and rotation. J. Fluid Mech. 30, 439-448.

    Jones, W. L. 1969. Ray tracing for internal gravity waves. Journ. of Geophys. Rea. 7 4 , 8, 2028-2033.

    Miles, J. W. 1961. On the stability of heterogeneous shear flow. J . Fluid. Mech. 10, 49C508.

    Mooers, C. N. K. 1970. The effects of horizontal density gradients on the propagation of inertialinternal waves. (Submitted to Geophysical Fluid Dynamics.)

    Phillips, 0. M. 1966. The dynamics of the upper o w n , 261 pp. Cambridge University Press.

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