Estimates of kinetic energy dissipation under breaking waves

Journal of Physical Oceanography

Volumn 26, Issue 5, 1996, Pages 792-807

  Terray, E A ^a   Donelan, M A ^b   Agrawal, Y C ^c   Drennan, W M ^b   Kahma, K K ^d   Williams III, A J ^a   Hwang, P A ^e   Kitaigorodskii, S A ^d  

^a WOODS HOLE OCEANOGRAPHIC INSTITUTION   (United States)

^b ENVIRONMENT CANADA   (Canada)

^c Sequoia Scientific Inc   (United States)

^d FINNISH INSTITUTE OF MARINE RESEARCH   (Finland)

^e NAVAL RESEARCH LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BREAKING WAVES; DEPTH; DISSIPATION RATE; ENERGY DISSIPATION;

EID: 0029752871     PISSN: 00223670     EISSN: None     Source Type: Journal    
DOI: 10.1175/1520-0485(1996)026<0792:EOKEDU>2.0.CO;2     Document Type: Article

References (52)

1. Agrawal, Y. C., and C. J. Belting, 1988: Laser velocimetry for benthic sediment transport. Deep-Sea Res., 35, 1047-1067.
2. _, E. A. Terray, M. A. Donelan, P. A. Hwang, A. J. Williams III, W. M. Drennan, K. K. Kahma, and S. A. Kitaigorodskii, 1992: Enhanced dissipation of kinetic energy beneath surface waves. Nature, 359, 219-220.
3. Anis, A., and J. N. Moum, 1992: The superadiabatic surface layer of the ocean during convection. J. Phys. Oceanogr., 22, 1221-1227.
4. _, and _, 1995: Surface wave-turbulence interactions: Scaling ε(z) near the sea surface. J. Phys. Oceanogr., 25, 2025-2045.
5. Arsenyev, S. A., S. V. Dobroklonsky, R. M. Mamedov, and N. K. Shelkovnikov, 1975: Direct measurements of some characteristics of fine-scale turbulence from a stationary platform in the open sea. Izv. Atmos. Ocean. Phys., 11, 530-533.
6. Banner, M. L., 1990: Equilibrium spectra of wind waves. J. Phys. Oceanogr., 20, 966-984.
7. Birch, K. G., and J. A. Ewing, 1986: Observations of wind waves on a reservoir. Rep. 234, Institute of Oceanographic Sciences, Wormley, Surrey, England, 34 pp.
8. Churchill, J. H., and G. T. Csanady, 1983: Near-surface measurements of quasi-Lagrangian velocities in open water. J. Phys. Oceanogr., 13, 1669-1680.
9. Craig, P. D., and M. L. Banner, 1994: Modeling wave-enhanced turbulence in the ocean surface layer. J. Phys. Oceanogr., 24, 2546-2559.
10. Csanady, G. T., 1984: The free surface turbulent shear layer. J. Phys. Oceanogr., 14, 402-411.
11. Dillon, T. M., J. G. Richman, C. G. Hansen, and M. D. Pearson, 1981: Near-surface turbulence measurements in a lake. Nature, 290, 390-392.
12. Donelan, M. A., 1978: On the fraction of wind momentum retained by waves. Marine Forecasting: Prediction, Modelling and Ocean Hydrodynamics, J. C. Nihoul, Ed., Elsevier, 141-159.
13. _, 1990: The Sea, Ocean Engineering Science, Vol. 9, Air-Sea Interaction. B. LeMéhauté and D. Hanes, Eds., Wiley and Sons, 239-292.
14. _, and J. Motycka, 1978: Miniature drag sphere velocity probe. Rev. Sci. Instrum., 49, 298-304.
15. _, and W. J. Pierson, 1987: Radar scattering and equilibrium ranges in wind generated waves with applications to scatterometry. J. Geophys. Res., 92, 4971-5029.
16. _, J. Hamilton, and W. H. Hui, 1985: Directional spectra of wind-generated waves. Philos. Trans. Roy. Soc. London, Ser. A, 315, 509-562.
17. Drennan, W. M., K. K. Kahma, and M. A. Donelan, 1992a: The velocity field beneath wind-waves - observations and inferences. Coastal Eng., 18, 111-136.
18. _, _, E. A. Terray, M. A. Donelan, and S. A. Kitaigorodskii, 1992b: Observations of the enhancement of kinetic energy dissipation beneath breaking wind waves. Breaking Waves, M. L. Banner and R. H. Grimshaw, Eds., Springer-Verlag, 95-101. IUTAM Symposium on Breaking Waves, Sydney, Australia, July, 1991.
19. _, _, E. A. Terray, M. A. Donelan, and S. A. Kitaigorodskii, 1992b: Observations of the enhancement of kinetic energy dissipation beneath breaking wind waves. Breaking Waves, M. L. Banner and R. H. Grimshaw, Eds., Springer-Verlag, 95-101. IUTAM Symposium on Breaking Waves, Sydney, Australia, July, 1991.
20. _, M. A. Donelan, E. A. Terray, and K. B. Katsaros, 1996: Oceanic turbulence dissipation measurements in SWADE. J. Phys. Oceanogr., 26, 808-815.
21. Gargett, A. E., 1989: Ocean turbulence. Ann. Rev. Fluid Mech., 21, 419-451.
22. George, R., R. E. Flick, and R. T. Guza, 1994: Observations of turbulence in the surf zone. J. Geophys. Res., 99, 810-810.
23. Grant, H. L., R. W. Stewart, and A. Molliet, 1962: Turbulent spectra from a tidal channel. J. Fluid Mech., 12, 241-268.
24. Gregg, M. C., 1987: Structures and fluxes in a deep convecting mixed layer. Dynamics of the Ocean Mixed Layer, P. Müller and D. Henderson, Eds., Hawaiian Institute of Geophysics, 1-23.
25. Hasselmann, K., 1974: On the spectral dissipation of ocean waves due to whitecapping. Bound.-Layer Meteor., 6, 107-127.
26. _, T. P. Barnett, E. Bouws, H. Carlson, D. E. Cartwright, K. Enke, J. A. Ewing, H. Gienapp, D. E. Hasselmann, P. Kruseman, A. Meerburg, P. Müller, D. J. Olbers, K. Richter, W. Sell, and H. Walden, 1973: Measurements of wind-wave growth and swell decay during the Joint North Sea Wave Project (JONSWAP). Dtsch. Hydrogr. Z., 12, (Suppl.), 95 pp.
27. Jeffreys, H., 1924: On the formation of waves by wind. Proc. Roy. Soc. London, A107, 189-206.
28. _, 1925: On the formation of waves by wind. II. Proc. Roy. Soc. London, A110, 341-347.
29. Jones, I. S. F., 1985: Turbulence below wind waves. The Ocean Surface - Wave Breaking, Turbulent Mixing and Radio Probing, Y. Toba and H. Mitsuyasu, Eds., Reidel, 437-442.
30. _, and B. C. Kenney, 1977: The scaling of velocity fluctuations in the surface mixed layer. J. Geophys. Res., 82, 1392-1396.
31. Kahma, K. K., 1981: A study of the growth of the wave spectrum with fetch. J. Phys. Oceanogr., 11, 1503-1515.
32. _, and C. J. Calkoen, 1992: Reconciling discrepancies in the observed growth of wind-generated waves. J. Phys. Oceanogr., 22, 1389-1405.
33. Kitaigorodskii, S. A., 1984: On the fluid dynamical theory of turbulent gas transfer across an air-sea interface in the presence of breaking wind waves. J. Phys. Oceanogr., 14, 960-972.
34. _, M. A. Donelan, J. L. Lumley, and E. A. Terray, 1983: Wave-turbulence interactions in the upper ocean: Part II. J. Phys. Oceanogr., 13, 1988-1999.
35. Lumley, J. L., and E. A. Terray, 1983: Kinematics of turbulence convected by a random wave field. J. Phys. Oceanogr., 13, 2000-2007.
36. Maat, N., C. Kraan, and W. A. Oost, 1991: The roughness of wind waves. Bound.-Layer Meteor., 54, 89-103.
37. Melville, W. K., 1993: The role of breaking in air-sea interaction. Proc. 18th Int. Congress of Theoretical and Applied Mechanics, S. R. Bodner, Ed., Elsevier, 99-117.
38. _, 1994: Energy dissipation by breaking waves. J. Phys. Oceanogr., 24, 2041-2049.
39. Miles, J. W., 1957: On the generation of surface waves by shear flows. J. Fluid Mech., 3, 185-204.
40. Mitsuyasu, H., 1985: A note on the momentum transfer from wind to waves. J. Geophys. Res., 90, 3343-3345.
41. Oakey, N. S., and J. A. Elliott, 1982: Dissipation within surface mixed layer. J. Phys. Oceanogr., 12, 171-185.
42. Osborn, T., D. M. Farmer, S. Vagle, S. Thorpe, and M. Cure, 1992: Measurements of bubble plumes and turbulence from a submarine. Atmos.-Ocean, 30, 419-440.
43. Phillips, O. M., 1985: Spectral and statistical properties of the equilibrium range in wind-generated gravity waves. J. Fluid Mech., 156, 505-531.
44. Plant, W. J., 1982: A relationship between wind stress and wave slope. J. Geophys. Res., 87, 1961-1967.
45. Rapp, R. J., and W. K. Melville, 1990: Laboratory measurements of deep-water breaking waves. Philos. Trans. R. Soc. London, A331, 735-800.
46. Soloviev, A. V., N. V. Vershinsky, and V. A. Bezverchnii, 1988: Small-scale turbulence measurements in the thin surface layer of the ocean. Deep-Sea Res., 35, 1859-1874.
47. Stewart, R. W., and H. L. Grant, 1962: Determination of the rate of dissipation of turbulent energy near the sea surface in the presence of waves. J. Geophys. Res., 67, 3177-3180.
48. Terray, E. A., and L. F. Bliven, 1985: The vertical structure of turbulence beneath gently breaking wind waves. The Ocean Surface: Wave Breaking, Turbulent Mixing and Radio Probing, Y. Toba and H. Mitsuyasu, Eds., D. Reidel, 395-400.
49. Thorpe, S. A., 1993: Energy loss by breaking waves. J. Phys. Oceanogr., 23, 2498-2502.
50. Tsanis, I. K., and M. A. Donelan, 1989: Wave directional spectra in mixed seas. Proc. Second Int. Workshop on Wave Hindcasting and Forecasting, Vancouver, Environment Canada, AES-Downsview, 387-396.
51. Williams, A. J., III, 1985: BASS, an acoustic current meter for benthic flow-field measurements. Mar. Geol., 66, 345-355.
52. Wu, J., 1975: Wind-induced drift currents. J. Fluid Mech., 68, 49-70.