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    Filatov, S. V. Parfenyev, V. M. Vergeles, S. S. Brazhnikov, M. Yu. Levchenko, A. A. and Lebedev, V. V. 2016. Nonlinear Generation of Vorticity by Surface Waves. Physical Review Letters, Vol. 116, Issue. 5,


    BÜHLER, OLIVER and HOLMES-CERFON, MIRANDA 2011. Decay of an internal tide due to random topography in the ocean. Journal of Fluid Mechanics, Vol. 678, p. 271.


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    FALKOVICH, G. 2009. Could waves mix the ocean?. Journal of Fluid Mechanics, Vol. 638, p. 1.


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  • Journal of Fluid Mechanics, Volume 638
  • November 2009, pp. 5-26

Particle dispersion by random waves in rotating shallow water

  • OLIVER BÜHLER (a1) and MIRANDA HOLMES-CERFON (a1)
  • DOI: http://dx.doi.org/10.1017/S0022112009991091
  • Published online: 14 October 2009
Abstract

We present a theoretical and numerical study of wave-induced particle dispersion due to random waves in the rotating shallow-water system, as part of an ongoing study of particle dispersion in the ocean. Specifically, the effective particle diffusivities in the sense of Taylor (Proc. Lond. Math. Soc., vol. 20, 1921, p. 196) are computed for a small-amplitude wave field modelled as a stationary homogeneous isotropic Gaussian random field whose frequency spectrum is bounded away from zero. In this case, the leading-order diffusivity depends crucially on the nonlinear, second-order corrections to the linear velocity field, which can be computed using the methods of wave–mean interaction theory. A closed-form analytic expression for the effective diffusivity is derived and carefully tested against numerical Monte Carlo simulations. The main conclusions are that Coriolis forces in shallow water invariably decrease the effective particle diffusivity and that there is a peculiar choking effect for the second-order particle flow in the limit of strong rotation.

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Email address for correspondence: holmes@cims.nyu.edu
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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
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