Statistics of the Richardson number: Mixing models and finestructure

Journal of Physical Oceanography

Volumn 26, Issue 8, 1996, Pages 1409-1425

  Polzin, Kurt ^a  

^a UNIVERSITY OF WASHINGTON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MIXING; MODELS; TURBULENCE; WAVES;

INTERNAL WAVE ENVIRONMENTS; RICHARDSON NUMBER; STATISTICS; TURBULENT MIXING;

EID: 0030438975     PISSN: 00223670     EISSN: None     Source Type: Journal    
DOI: 10.1175/1520-0485(1996)026<1409:SOTRNM>2.0.CO;2     Document Type: Article

References (48)

1. Abarbanel, H. D. I., D. D. Holm, J. E. Marsden, and T. Ratiu, 1984: Richardson number criterion for the nonlinear stability of three-dimensional stratified flow. Phys. Rev. Lett., 52, 2352-2355.
2. Anderson, S. P., 1992: Shear, strain and thermohaline vertical fine structure in the upper ocean. Ph.D. thesis, University of California, San Diego, 172 pp.
3. Bendat, J. S., and A. G. Piersol, 1986: Random Data: Analysis and Measurement Procedures. Wiley-Interscience, 566 pp.
4. Bradley, J. V., 1968: Distribution-Free Statistical Tests. Prentice-Hall, 388 pp.
5. Bray, N. A., and N. P. Fofonoff, 1981: Available potential energy for MODE eddies. J. Phys. Oceanogr., 11, 30-46.
6. Bretherton, F. P., 1969: Waves and turbulence in stably stratified fluids. Radio Sci., 4, 1279-1288.
7. Briscoe, M. G., 1977: Gaussianity of internal waves. J. Geophys. Res., 82, 2117-2126.
8. Desaubies, Y., and M. C. Gregg, 1981: Reversible and irreversible fine structure. J. Phys. Oceanogr., 11, 541-556.
9. _, and W. K. Smith, 1982: Statistics of the Richardson number and instability in oceanic internal waves. J. Phys. Oceanogr., 12, 1245-1259.
10. Eriksen, C. C., 1982: Observations of internal wave reflection off sloping bottoms. J. Geophys. Res., 87, 525-538.
11. Fofonoff, N. P., 1969: Spectral characteristics of internal waves in the ocean. Deep-Sea Res., 16(Suppl.), 59-71.
12. Gargett, A. E., P. J. Hendricks, T. B. Sanford, T. R. Osborn, and A. J. Williams III, 1981: A composite spectrum of vertical shear in the ocean. J. Phys. Oceanogr., 11, 1258-1271.
13. Garrett, C., and W. Munk, 1972: Oceanic mixing by breaking internal waves. Deep-Sea Res., 19, 823-832.
14. Gregg, M. C., E. A. D'Asaro, T. J. Shay, and N. Larson, 1986: Observations of persistent mixing and near-inertial internal waves. J. Phys. Oceanogr., 16, 856-885.
15. _, H. E. Seim, and D. B. Percival, 1993: Statistics of shear and turbulent dissipation profiles in random internal wave fields. J. Phys. Oceanogr., 23, 1777-1799.
16. Hayes, S. P., H. B. Milburn, and E. F. Ford, 1984: TOPS: A free-fall velocity and CTD profiler. J. Atmos. Oceanic Technol., 1, 220-236.
17. Hazel, P., 1972: Numerical studies of the stability of inviscid stratified shear flows. J. Fluid Mech., 51, 39-61.
18. Henyey, F. S., 1991: Scaling of internal wave model predictions for ε. Dynamics of Oceanic Internal Gravity Waves, Proc. 'Aha Huliko'a Hawaiian Winter Workshop, P. Muller and D. Henderson, Eds., 233-236.
19. _, J. Wright, and S. M. Flatte, 1986: Energy and action flow through the internal wave field: An eikonal approach. J. Geophys. Res., 91, 8487-8495.
20. Horn, E. P. W., and J. M. Toole, 1980: Sensor response mismatches and lag correction techniques for temperature-salinity profilers. J. Phys. Oceanogr., 10, 1122-1130.
21. Howard, L. N., 1961: Note on a paper of John W. Miles. J. Fluid Mech., 10, 509-512.
22. Itsweire, E. C., J. R. Koseff, D. A. Briggs, and J. H. Ferziger, 1993: Turbulence in stratified shear flows: Implications for interpreting shear induced mixing in the ocean. J. Phys. Oceanogr., 23, 1508-1522.
23. Kunze, E., 1985: Near-inertial wave propagation in geostrophic shear. J. Phys. Oceanogr., 15, 544-565.
24. _, A. J. Williams III, and M. G. Briscoe, 1990: Observations of shear and vertical stability from a neutrally buoyant float. J. Geophys. Res., 95, 18 127-18 142.
25. _, M. A. Kennelly, and T. B. Sanford, 1992: The depth dependence of shear fine structure off Point Arena and near Pioneer Seamount. J. Phys. Oceanogr., 22, 29-41.
26. _, R. W. Schmitt, and J. M. Toole, 1995: The energy balance in a warm-core ring's inertial critical layer. J. Phys. Oceanogr., 25, 942-947.
27. Marmarino, G. O., 1987: Observations of small-scale mixing processes in the seasonal thermocline. Part II: Wave breaking. J. Phys. Oceanogr., 17, 1348-1355.
28. Miles, J. W., 1961: On the stability of heterogeneous shear flows. J. Fluid Mech., 10, 496-508.
29. Munk, W., 1981: Internal waves and small-scale processes. Evolution of Physical Oceanography, B. A. Warren and C. Wunsch, Eds., The MIT Press, 264-291.
30. Osborn, T. R., 1974: Vertical profiling of velocity microstructure. J. Phys. Oceanogr., 4, 109-115.
31. Pinkel, R., and S. Anderson, 1992: Toward a statistical description of finescale strain in the thermocline. J. Phys. Oceanogr., 22, 773-795.
32. Polzin, K. L., 1992: Observations of turbulence, internal waves and background flows: An inquiry into the relationships between scales of motion. Ph.D. thesis, MIT/WHOI Joint Program in Oceanography, WHOI Tech. Rep. No. WHOI-92-39, 244 pp.
33. _, J. M. Toole, and R. W. Schmitt, 1995: Finescale parameterizations of turbulent dissipation. J. Phys. Oceanogr., 25, 306-328.
34. Rohr, J. J., E. C. Itsweire, K. N. Helland, and C. W. Van Atta, 1988: Growth and decay of turbulence in a stably stratified shear flow. J. Fluid Mech., 187, 77-111.
35. Rossby, T., 1988: Five drifters in a Mediterranean salt lens. Deep-Sea Res., 35, 1653-1663.
36. Rubenstein, D. M., and G. O. Roberts, 1986: Scattering of inertial waves by an ocean front. J. Phys. Oceanogr., 16, 121-131.
37. Schmitt, R. W., J. M. Toole, R. L. Koehler, E. C. Mellinger, and K. W. Doherty, 1988: The development of a fine- and microstructure profiler. J. Atmos. Oceanic Technol., 5, 484-500.
38. Scotti, R. S., and G. M. Corcos, 1972: An experiment on the stability of small disturbances in a stratified free shear layer. J. Fluid Mech., 52, 499-528.
39. Siedler, G., and U. Paul, 1991: Barotropic and baroclinic tidal currents in the eastern basins of the North Atlantic. J. Geophys. Res., 96, 22259-22271.
40. Thorpe, S. A., 1971: Experiments on the instability of stratified shear flows: Miscible flows. J. Fluid Mech., 46, 299-319.
41. _, 1973a: Turbulence in stabley stratified fluids: A review of laboratory experiments. Bound.-Layer Meteor., 5, 95-119.
42. _, 1973b: Experiments on instability and turbulence in a stratified shear flow. J. Fluid Mech., 61, 731-751.
43. _, 1987: Transitional phenomena and the development of turbulence in stratified fluids: A review. J. Geophys. Res., 92, 5231-5248.
44. Toole, J. M., and S. P. Hayes, 1984: Finescale velocity-density characteristics and Richardson number statistics of the eastern equatorial Pacific. J. Phys. Oceanogr., 14, 712-726.
45. _, and R. W. Schmitt, 1987: Small-scale structures in the northwest Atlantic sub-tropical front. Nature, 327, 47-49.
46. Woods, J. D., 1968: Wave-induced shear instability in the summer thermocline. J. Fluid Mech., 32, 791-800.
47. Wunsch, C., and S. Webb, 1979: The climatology of deep ocean internal waves. J. Phys. Oceanogr., 9, 235-243.
48. Yamazaki, H., and T. R. Osborn, 1990: Dissipation estimates for stratified turbulence. J. Geophys. Res., 95, 9739-9744.