Self-consistent effective-medium parameters for oceanic internal waves

Author:

Dewitt R. J.,Wright Jon

Abstract

In this paper we apply a formalism introduced in a previous paper to write down a self-consistent set of equations for the functions that describe the near-equilibrium time behaviour of random oceanic internal waves. These equations are based on the direct-interaction approximation. The self-consistent equations are solved numerically (using the Garrett-Munk spectrum as input) and the results are compared to parameters obtained in the weak-interaction approximation (WIA). The formalism points out that an extra parameter that is implicitly vanishingly small in the WIA has a significant effect on decay rates when computed self-consistently. We end by mentioning possible future self-consistent calculations that would improve upon our own.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference24 articles.

1. McComas, C. H. & Bretherton, F. P. 1977 Resonant iteractions of oceanic internal waves.J. Geophys. Res. 82,1397.

2. Meiss, J. & Watson, K. M. 1982 Internal-wave interactions in the induced-diffusion approximation.J. Fluid Mech. 117,315–341.

3. Holloway, G. 1980 Oceanic internal waves are not weak waves.J. Phys. Oceanogr. 10,906–914.

4. Carnevale, G. F. & Fredericksen, J. S. 1983a A statistical dynamical theory of strongly nonlinear internal gravity waves.Geophys. Astrophys. Fluid Dyn. 23,175–207.

5. McComas, C. H. 1977 Equilibrium mechanisms within the oceanic internal wave field.J. Phys. Oceanogr. 7,836.

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