Dynamic instability of stratified shear flow in the upper equatorial Pacific

Journal of Geophysical Research: Oceans

Volumn 103, Issue C5, 1998, Pages 10323-10337

  Sun, Chaojiao ^a,b   Smyth, William D ^a   Moum, James N ^a  

^a OREGON STATE UNIVERSITY   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MIXED LAYER; STRATIFIED SHEAR FLOW; TURBULENCE;

(EQUATORIAL); PACIFIC;

EID: 2142720650     PISSN: None     EISSN: 21699291     Source Type: Journal    
DOI: 10.1029/98jc00191     Document Type: Article

References (43)

1. Akima, H., A new method of interpolation and smooth curves fitting based on local procedures, J. Assoc. Comput. Mach., 17, 589-602, 1970.
2. Booker, J. R., and F. P. Bretherton, The critical layer for internal gravity waves in a shear flow, J. Fluid Mech., 27, 513-539, 1967.
3. Boyd, T. J., D. S. Luther, R. A. Knox, and M. C. Hendershott, High-frequency internal waves in the strongly sheared currents of the upper equatorial Pacific: Observations and a simple spectral model, J. Geophys. Res., 98, 18,089-18,107, 1993.
4. Butler, K. M., and B. F. Farrell, Three-dimensional optimal perturbations in viscous shear flow, Phys. Fluids A, 8, 1637-1650, 1992.
5. Davis, P. A., and W. R. Peltier, Resonant parallel shear instability in the stably stratified planetary boundary layer, J. Atmos. Sci., 33, 1287-1300, 1976.
6. De Bass, A. F., and A. G. M. Driedonks, Internal gravity waves in a stably stratified boundary layer, Boundary Layer Meterol., 31, 303-323, 1985.
7. Drazin, P. G., The stability of a shear layer in an unbounded heterogeneous inviscid fluid, J. Fluid Mech., 4, 214-224, 1958.
8. Drazin, P. G. and L. N. Howard, Hydrodynamic stability of parallel flow of inviscid fluid, Adv. Appl. Math., 9, 1-89, 1966.
9. Gregg, M. C., H. Peters, J. C. Wesson, N. S. Oakey, and T. J. Shay, Intensive measurements of turbulence and shear in the equatorial undercurrent. Nature, 318, 140-144, 1985.
10. Hazel, P. G., Numerical studies of the stability of inviscid parallel shear flows. J. Fluid Mech., 51, 39-62, 1972.
11. Hebert, D., J. N. Moum, C. A. Paulson, D. R. Caldwell, T. K. Chereskin, and M. J. McPhaden, The role of the turbulent stress divergence in the equatorial Pacific zonal momentum balance, J. Geophys. Res., 96, 7127-7136, 1991.
12. Hebert, D., J. N. Moum, C. A. Paulson, and D. R. Caldwell, Turbulence and internal waves at the equator, II, Details of a single event, J. Phys. Oceanogr., 22, 1346-1356, 1992.
13. Howard, L. N., Note on a paper of John W. Miles, J. Fluid Mech., 10, 509-512, 1961.
14. Howard, L. N., and S. A. Maslowe, Stability of stratified shear flows, Boundary Layer Meterol., 4, 511-523, 1973.
15. Kunze, E., A. J. Williams, and M. G. Briscoe, Observations of shear and vertical stability from a neutrally buoyant float, J. Geophys. Res., 95, 18,127-18,142, 1990.
16. Lien, R.-C., M. McPhaden, and D. Hebert, Intercomparison of ADCP measurements at 0, 140W, J. Atmos. Oceanic. Technol., 11, 1334-1349, 1994.
17. Lien, R.-C., D. R. Caldwell, M. C. Gregg, and J. N. Moum, Turbulence variability at the equator in the central Pacific at the beginning of the 1991-1993 El Niño, J. Geophys. Res., 100, 6881-6898, 1995.
18. Lien, R.-C., M. McPhaden, and M. C. Gregg, High-frequency internal waves at 0°, 140°W and their possible relationship to deep-cycle turbulence, J. Phys. Oceanogr., 26, 581-600, 1996.
19. Lott, F., H. Kelder, and H. Teitelbaum, A transition from Kelvin-Helmholtz instabilities to propagating wave instabilities, Phys. Fluids A, 4, 1990-1997, 1992.
20. Mack, A. P., and D. Hebert, Internal gravity waves in the upper eastern equatorial Pacific: Observations and numerical solutions, J. Geophys. Res., 102, 21,081-21,100, 1997.
21. McPhaden, M. J., and H. Peters, On the diurnal cycle of internal wave variability in the equatorial Pacific Ocean: Results from moored observations, J. Phys. Oceanogr., 22, 1317-1329, 1992.
22. Miles, J. W., On the stability of heterogeneous shear flows, J. Fluid Mech., 10, 496-508, 1961.
23. Miles, J. W. and L. N. Howard, Note on a heterogeneous shear flow. J. Fluid Mech., 20, 331-336, 1964.
24. Moum, J. N., and D. R. Caldwell, Local influences on shear flow turbulence in the equatorial ocean, Science, 230, 315-316, 1985.
25. Moum, J. N., D. R. Caldwell, and C. A. Paulson, Mixing in the equatorial surface layer and thermocline, J. Geophys. Res., 94, 2005-2021, 1989.
26. Moum, J. N., M. J. McPhaden, D. Hebert, H. Peters, C. A. Paulson, and D. R. Caldwell, Internal waves, dynamic instabilities, and turbulence in the equatorial thermocline: An introduction to three papers in this issue, J. Phys. Oceanogr., 22, 1357-1359, 1992a.
27. Moum, J. N., D. Hebert, C. A. Paulson, and D. R. Caldwell, Turbulence and internal waves at the equator, I, Statistics from towed thermistors and a microstructure profiler, J. Phys. Oceanogr., 22, 1330-1345, 1992b.
28. Moum, J. N., M. C. Gregg, R. C. Lien, and M. E. Carr, Comparison of turbulent kinetic energy dissipation rates from two ocean microstructure profilers, J. Atmos. Oceanic Technol., 12, 346-366, 1995.
29. Pedlosky, J., Geophysical Fluid Dynamics, Springer-Verlag, New York, 1987.
30. Peters, H., M. C. Gregg, and J. M. Toole, On the parameterization of equatorial turbulence, J. Geophys. Res., 93, 1199-1218, 1988.
31. Peters, H., M. C. Gregg, and J. M. Toole, Meridional variability of turbulence through the equatorial undercurrent, J. Geophys. Res., 94, 18,003-18,009, 1989.
32. Polzin, K. L., Statistics of the Richardson number: Mixing models and fine structure, J. Phys. Oceanogr., 26, 1409-1425, 1996.
33. Press, W. H., S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes, 2nd ed., Cambridge Univ. Press, New York, 1992.
34. Scotti, R. S., and G. M. Corcos, An experiment on the stability of small disturbances in a stratified shear layer, J. Fluid Mech., 52, 499-528, 1972.
35. Skyllingstad, E. D., and D. W. Denbo, The role of internal gravity waves in the equatorial current system, J. Phys. Oceanogr., 24, 2093-2110, 1994.
36. Smyth, W. D., and W. R. Peltier, The transition between Kelvin-Helmholtz and Holmboe instability: An investigation of the overreflection hypothesis, J. Atmos. Sci., 46, 3698-3720, 1989.
37. Smyth, W. D., and W. R. Peltier, Three-dimensionalization of barotropic vortices on the f-plane, J. Fluid Mech., 265, 25-64, 1994.
38. Sutherland, B. R., Dynamic excitation of internal gravity waves in the equatorial ocean, J. Phys. Oceanogr., 26, 2398-2419, 1996.
39. Sutherland, B. R., and W. R. Peltier, The stability of stratified jets, Geophys. Astrophys. Fluid Dyn., 66, 101-131, 1992.
40. Thorpe, S. A., Experiments on the instability of stratified shear flows: Miscible fluids, J. Fluid Mech., 46, 299-319, 1971.
41. Trefethen, L. N., A. E. Trefethen, S. C. Reddy, and T. A. Driscoll, Hydrodynamic stability without eigenvalues, Science, 261, 578-584, 1993.
42. Wijesekera, H. W., and T. M. Dillon, Internal waves and mixing in the upper equatorial Pacific Ocean, J. Geophys. Res., 96, 7115-7126, 1991.
43. Winters, K. B., and J. J. Riley, Instability of internal waves near a critical level, Dyn. Atmos. Oceans, 16, 249-278, 1992.