Hostname: page-component-78c5997874-xbtfd Total loading time: 0 Render date: 2024-11-19T04:32:59.242Z Has data issue: false hasContentIssue false

Breaking of wind-generated waves: measurements and characteristics

Published online by Cambridge University Press:  26 April 2006

Paul A. Hwang
Affiliation:
Air-Sea Interaction Laboratory, College of Marine Studies, University of Delaware, Lewes, DE 19958, USA Present address: Ocean Research & Engineering, Pasadena, CA 91101, USA.
Delun Xu
Affiliation:
Air-Sea Interaction Laboratory, College of Marine Studies, University of Delaware, Lewes, DE 19958, USA Present address: Ocean University of Qingdao, Qingdao, Shandong, China.
Jin Wu
Affiliation:
Air-Sea Interaction Laboratory, College of Marine Studies, University of Delaware, Lewes, DE 19958, USA

Abstract

A method of using local wave properties to provide a detailed description of breakings in a random wave field is developed. These properties, derived through the Hilbert transform, include the angular frequency, phase velocity, and surface-velocity components. The breaking characteristics are presented, including the probability of breaking, its time- and lengthscales, its intensity, and the phase of its inception. The time- and lengthscales, of breaking events were found to be linearly proportional to the corresponding scales of underlying waves, and to indicate that the breaking region is geometrically similar. Consistent results were obtained from temporal and spatial measurements. Finally, on the basis of these results we have evaluated geometric and kinematic criteria for identifying breaking waves.

Type
Research Article
Copyright
© 1989 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Banner, M. L. & Fooks, E. H., 1985 On the microwave reflectivity of small scale breaking water waves. Proc. R. Soc. Lond. A A399, 93109.Google Scholar
Banner, M. L. & Melville, W. K., 1976 On the separation of air flow over water waves. J. Fluid Mech. 77, 825842.Google Scholar
Banner, M. L. & Phillips, O. M., 1974 On the incipient breaking of small scale waves. J. Fluid Mech. 65, 647656.Google Scholar
Battjes, J. A. & Sakai, T., 1981 Velocity field in a steady breaker. J. Fluid Mech. 111, 421437.Google Scholar
Bitner-Gregersen, E. M. & Gran, S. 1983 Local properties of sea waves derived from a wave record. Appl. Ocean Res. 5, 210214.Google Scholar
Blanchard, D. C. & Woodcock, A. H., 1957 Bubble formation and modification in the sea and its meterological significance. Tellus 9, 145158.Google Scholar
Burger, S. R. & Blanchard, D. C., 1983 The persistence of air bubbles at a seawater surface. J. Geophys. Res. 88, 77247726.Google Scholar
Duncan, J. H.: 1981 An experimental investigation of breaking waves produced by a towed hydrofoil. Proc. R. Soc. Lond. A 377, 331348.Google Scholar
Duncan, J. H.: 1983 The breaking and non-breaking wave resistance of a two-dimensional hydrofoil. J. Fluid Mech. 126, 507520.Google Scholar
Gent, P. T. & Taylor, P. A., 1976 A numerical model of the air flow above water waves. J. Fluid Mech. 77, 105128.Google Scholar
Koga, M.: 1982 Bubble entrainment in breaking wind waves. Tellus 34, 481489.Google Scholar
Longuet-Higgins, M. S.: 1970a Longshore currents generated by obliquely incident sea waves. 1. J. Geophys. Res. 33, 67786789.Google Scholar
Longuet-Higgins, M. S.: 1970b Longshore currents generated by obliquely incident sea waves, 2. J. Geophys. Res. 33, 67906801.Google Scholar
Longuet-Higgins, M. S.: 1974 Breaking waves - in deep or shallow water. In 10th Symp. Naval Hydrodynamics, pp. 597605. Office of Naval Research, Arlington, Virginia.
Longuet-Higgins, M. S.: 1985 Acceleration in steep gravity waves. J. Phys. Oceanogr. 15. 15701579.Google Scholar
Longuet-Higgins, M. S. & Fox, M. J. H. 1977 Theory of the almost-highest wave: the inner solution. J. Fluid Mech. 80, 721741.Google Scholar
Longuet-Higgins, M. S. & Smith, N. D. 1983 Measurement of breaking by a surface jump meter. J. Geophys. Res. 88, 98239831.Google Scholar
Longuet-Higgins, M. S. & Turner, J. S. 1974 An ‘entraining plume’ model of a spilling breaker. J. Fluid Mech. 63, 120.Google Scholar
Medwin, H.: 1977 In Situ acoustic measurements of microbubbles at sea. J. Geophys. Res. 82, 971975.Google Scholar
Melville, W. K.: 1977 Wind stress and roughness length over breaking waves. J. Phys. Oceanogr. 8, 702710.Google Scholar
Melville, W. K.: 1983 Wave modulation and breakdown. J. Fluid Mech. 128, 489506.Google Scholar
Merlivat, L. & Memery, L., 1983 Gas exchange across an air-water interface: Experimental results and modelling of bubble concentration to transfer. J. Geophys. Res. 88. 707724.Google Scholar
Michell, J. H: 1893 The highest wave in water. Phil. Mag. 36 (5), 430437.Google Scholar
Mogridge, G. R. & Jamieson, W. W., 1980 Wave impact pressures on composite breakwaters. In Proc. 17th Coast. Engng Conf. pp. 18291848. ASCE, New York.
Monahan, E. C.: 1971 Oceanic whitecaps. J. Phys. Oceanogr. 1, 139144.Google Scholar
Monahan, E. C. & Zietlow, C. R., 1969 Laboratory comparisons of fresh-water and salt-water whitecaps. J. Geophys. Res. 74, 69616966.Google Scholar
Ochi, M. K. & Tsai, C.-H. 1983 Prediction of occurrence of breaking waves in deep water. J. Phys. Oceanogr. 13, 20082019.Google Scholar
Peregrine, D. H. & Svendsen, I. A., 1978 Spilling breakers, bores and hydraulic jumps. In Proc. 16th Coastal Engng Conf. pp. 540551. ASCE, New York.
Phillips, O. M.: 1977 The Dynamics of the Upper Ocean, 2nd edn. Cambridge University Press.
Phillips, O. M.: 1985 Spectral and statistical properties of the equilibrium range in wind-generated gravity waves. J. Fluid Mech. 156, 505531.Google Scholar
Phillips, O. M. & Banner, M. L., 1974 Wave breaking in the presence of wind drift and swell. J. Fluid Mech. 66, 625640.Google Scholar
Snyder, R. L. & Kennedy, R. M., 1983 On the formulation of whitecaps by a threshold mechanism Part I: Basic formalism. J. Phys. Oceanogr. 13, 14821492.Google Scholar
Snyder, R. L., Smith, L. & Kennedy, R. M., 1983 On the formation of whitecaps by a threshold mechanism. Part III: Field experiment and comparison with theory. J. Phys. Oceanogr. 13, 15051518.Google Scholar
Srokosz, M. A.: 1986 On the probability of wave breaking in deep water. J. Phys. Oceanogr. 16, 382385.Google Scholar
Stive, M. J. F.: 1980 Velocity and pressure field of a spilling breaker. In Proc. 17th Coastal Engng Conf. pp. 547566. ASCE, New York.
Stive, M. J. F. & Wind, H. G. 1982 A study of radiation stress and set-up in the nearshore region. Coastal Engng 6, 125.Google Scholar
Stokes, G. G.: 1880 On the theory of oscillating waves, Appendix B: Considerations relative to the greatest height of oscillatory irrotational waves which can be propagated without change of form. Math. Phys. Papers 1, 225228.Google Scholar
Wiegel, R. L.: 1982 Forces induced by breaking on piles. In Proc. 18th Coast. Engng Conf. pp. 16991715. ASCE, New York.
Wu, Jin 1975 Wind-induced drift currents. J. Fluid Mech. 68. 4970.Google Scholar
Xu, D., Hwang, P. A. & Wu, Jin 1986 Breaking of wind-generated waves. J. Phys. Ocenogr. 16. 21722178.Google Scholar
Zheng, Q. A., Klemas, V., Hayne, C. S. & Huang, N. E., 1983 The effect of oceanic whitecaps and foams on pulse-limited radar altimeters. J. Geophys. Res. 88, 25712578.Google Scholar