A condition on the average Richardson number for weak non-linearity of internal gravity waves

Tellus, Series A: Dynamic Meteorology and Oceanography

Volumn 59, Issue 5, 2007, Pages 781-784

  Lindborg, Erik ^a   Riley, James J ^b  

^a ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

^b UNIVERSITY OF WASHINGTON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

GRAVITY WAVE; INTERNAL WAVE; NONLINEARITY; RICHARDSON NUMBER; WAVE FIELD;

EID: 34548723354     PISSN: 02806495     EISSN: 16000870     Source Type: Journal    
DOI: 10.1111/j.1600-0870.2007.00266.x     Document Type: Article

References (18)

1. D'Asaro, E. A. and Lien, R. C. 2000. The wave-turbulence transition for stratified flows. Journ. Phys. Ocean. 30, 1669-1678.
2. Duda, T. F. and Cox, C. S. 1989. Vertical wave number spectra of velocity and shear at small internal wave scales. J. Geophys. Res. 94, 939-950.
3. Fofonoff, N. P. 1969. Spectral characteristics of internal waves in the ocean. Deep.Seay Res. 16 (Suppl.), 58-71.
4. Gargett, P. J., Hendricks, P. J., Sanford, T. B., Osborn, T. R. and Williams A. J. 1981. A composite spectrum of vertical shear in the open ocean. J. Phys. Ocean. 11, 1258-1271.
5. Garret, C. and Munk, W. 1972. Space-time scales of internal waves. Geophys. Fluid Dyn. 2, 225-264.
6. Garret, C. and Munk, W. 1975. Space-time scales of internal waves: A progress report. J. Geophys. Res. 80, 291-297.
7. Garret, C. and Munk, W. 1979. Internal waves in the ocean. Ann. Rev. Fluid. Mech. 11, 339-369.
8. Gregg, M. C., Sanford, T. B. and Winkel, D. P. 2003. Reduced mixing from the breaking of internal waves in equatorial waters. Nature 422, 513-515.
9. Godeferd, F. S., Cambon, C. and Scott, J. F. 2001. Two-point closures and their applications: Report on a workshop. J. Fluid Mech. 436, 393-404.
10. Holloway, G. 1980. Oceanic internal waves are not weak waves. J. Phys. Ocean. 10, 906-914.
11. Holloway, G. 1982. On interaction time scales of oceanic internal waves. J. Phys. Ocean. 12, 293-296.
12. Lesieur, M. 1987. Turbulence in Fluids. Martinus Nijhoff, Boston.
13. McComas, C. and Bretherton, F. 1977. Resonant interactions of oceanic internal waves. J. Geophys. Res. 9, 1397-1412.
14. McComas, C. and Müller, P. 1981. Time scales of resonant interactions among oceanic internal waves. J. Phys. Ocean. 11, 139-147.
15. Munk, W. 1981. Internal waves and smale scale processes, in Evolution of Physical Oceanography: Scientific Surveys in Honor of Henry Stommel, edited by B.A. Warren and C. Wunch, pp. 264-289. MIT Press, Cambridge, MA.
16. Polzin, K. L., Toole, J. M. and Schmitt, W. 1995. Finescale parameterizations of turbulent dissipation. J. Phys. Ocean., 25, 306-328.
17. Polzin, K. L., Kunze, E., Toole, J. M. and Schmitt, R. W. 2003. The partition of finescale energy into internal waves and subinertial motions. J. Phys. Ocean. 33, 234-248.
18. Sherman, J. and Pinkel, R. 1991. Estimates of the vertical wave-number-frequency spectrum of vertical shear and strain. J. Phys. Ocean. 26, 1579-1590.