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Strong particle dispersion by weakly dissipative random internal waves

  • Oliver Bühler (a1), Nicolas Grisouard (a1) (a2) and Miranda Holmes-Cerfon (a1)

Simple stochastic models and direct nonlinear numerical simulations of three-dimensional internal waves are combined in order to understand the strong horizontal particle dispersion at second-order in wave amplitude that arises when small-amplitude internal waves are exposed to weak dissipation. This is contrasted with the well-known results for perfectly inviscid internal waves, in which such dispersion arises only at fourth-order in wave amplitude.

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A. M. Balk , G. Falkovich & M. G. Stepanov 2004 Growth of density inhomogeneities in a flow of wave turbulence. Phys. Rev. Lett. 92, 244504.

K. Herterich & K. Hasselmann 1982 The horizontal diffusion of tracers by surface waves. J. Phys. Oceanogr. 12, 704712.

G. S. Patterson & S. A. Orszag 1971 Spectral calculations of isotropic turbulence: efficient removal of aliasing interactions. Phys. Fluids 14 (11), 25382541.

B. G. Sanderson & A. Okubo 1988 Diffusion by internal waves. J. Geophys. Res. 93, 35703582.

K. B. Winters , J. A. MacKinnon & B. Mills 2004 A spectral model for process studies of rotating, density-stratified flows. J. Atmos. Ocean. Technol. 21 (1), 6994.

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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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