Experimental Research of Statistical Characteristics of Wind Wave Breaking
A. E. Korinenko1, ✉, V. V. Malinovsky1, V. N. Kudryavtsev1, 2
1 Marine Hydrophysical Institute, Russian Academy of Sciences, Sevastopol, Russian Federation
2 Russian State Hydrometeorological University, Saint-Petersburg, Russian Federation
✉ e-mail: korinenko.alex@gmail.com
Abstract
The results of characteristics’ analysis of the wind wave breaking (length, velocity, direction) obtained in the Black Sea in September-October, 2015 from the oceanographic platform in Katsiveli are presented. Wave breaking was recorded by a video camera synchronously with the measurements of wind waves and meteorological parameters. The algorithm based on calculating the threshold determined at analyzing the distribution function of the video signal brightness was applied to identify breaking using the video records. The optical equipment used in the experiment made it possible to reliably identify the breaking generated by the waves with the lengths greater than 4 m and the phase velocities exceeding 2.5 m/s. The data obtained correspond well to the model conceptions of O.M. Phillips which were developed for the equilibrium interval of the wind wave spectrum. The histograms of the wave breaking velocities at the wind speeds 10–16 m/s are given. It is shown that at the developing waves, the breaking waves’ phase velocity can reach that of the wind waves corresponding to the spectral peak, while at the developed waves, no breaks with the velocities exceeding a halfphase one of the waves corresponding to the spectral peak were observed. Probability densities of the breaking lengths in the wind speeds’ measured range are described by the power law with the exponent -3.23. Distribution of the breaking orientations is described well by a degree of the angle cosine, at that the exponent decreases linearly from 5 to 4 with the wind speed increase from 10 to 16 m/s.
Keywords
wind wave breaking, in situ studies, wave breaking orientation, breaking lengths’ distribution, wind waves’ spectrum
Acknowledgements
The investigation is carried out within the framework of the state task on the theme No. 0827-2018-0003 “Fundamental studies of the oceanological processes conditioning the marine environment state and evolution under the influence of natural and anthropogenic factors based on the observational and modeling methods”. V.N. Kudryavtsev points to financial support of the RSF grant No. 17-77-30019.
Original russian text
Original Russian Text © A. E. Korinenko, V. V. Malinovsky, V. N. Kudryavtsev, 2018, published in MORSKOY GIDROFIZICHESKIY ZHURNAL, Vol. 34, Iss. 6, pp. 534–547 (2018)
For citation
Korinenko, A.E., Malinovsky, V.V. and Kudryavtsev, V.N., 2018. Experimental Research of Statistical Characteristics of Wind Wave Breaking. Physical Oceanography, 25(6), pp. 489-500. doi:10.22449/1573-160X-2018-6-489-500
DOI
10.22449/1573-160X-2018-6-489-500
References
- Zappa, C.J., McGillis, W.R., Raymond, P.A., Edson, J.B., Hintsa, E.J., Zemmelink, H.J., Dacey, J.W.H. and Ho, D.T., 2007. Environmental Turbulent Mixing Controls on Air-Water Gas Exchange in Marine and Aquatic Systems. Journal of Geophysical Research Letters, [e-journal] 34(10), L10601. https://doi.org/10.1029/2006GL028790
- Thorpe, S.A., 1993. Energy Loss by Breaking Waves. Journal of Physical Oceanography, [e-journal] 23(11), pp. 2498-2502. doi:10.1175/1520-0485(1993)023<2498:ELBBW>2.0.CO;2
- Kudryavtsev, V., Shrira, V., Dulov, V. and Malinovsky, V., 2008. On the Vertical Structure of Wind-Driven Sea Currents. Journal of Physical Oceanography, [e-journal] 38(10), pp. 2121-2144. https://doi.org/10.1175/2008JPO3883.1
- Johannessen, J.A., Kudryavtsev, V., Akimov, D., Eldevik, T., Winther, N. and Chapron, B., 2005. On Radar Imaging of Current Features: 2. Mesoscale Eddy and Current Front Detection. JGR: Oceans, [e-journal] 110(C7), C07017. https://doi.org/10.1029/2004JC002802
- Mouche, A.A., Hauser, D. and Kudryavtsev, V., 2006. Radar Scattering of the Ocean Surface and Sea-Roughness Properties: A Combined Analysis from Dual-Polarizations Airborne Radar Observations and Models in C Band. JGR: Oceans, [e-journal] 111(C9), C09004. https://doi.org/10.1029/2005JC003166
- Yurovsky, Y.Y. and Malinovsky, V.V., 2012. Radar Backscattering from Breaking Wind Waves: Field Observation and Modelling. International Journal of Remote Sensing, [e-journal] 33(8), pp. 2462-2481. https://doi.org/10.1080/01431161.2011.614966
- Churyumov, A.N. and Kravtsov, Yu.A., 2000. Microwave Backscatter from Mesoscale Breaking Waves on the Sea Surface. Waves in Random Media, [e-journal] 10(1), pp. 1-15. https://doi.org/10.1088/0959-7174/10/1/301
- Bondur, V.G. and Sharkov, E.A., 1990. Statistical Characteristics of Linear Geometric Elements of Foam Structures on the Sea Surface for Optical Sensor Data. Soviet Journal of Remote Sensing, [e-journal] 6(4), pp. 534-550.
- Mironov, A.S. and Dulov, V.A., 2008. Statisticheskie Kharakteristiki Sobytiy i Dissipatsiya Energiipri Obrushenii Vetrovykh Voln [Statistical Properties of Individual Events and Energy Dissipation of Breaking Waves]. In: MHI, 2008. Ekologicheskaya Bezopasnost' Pribrezhnoy i Shel'fovoy Zoni Kompleksnoe Ispol'zovanie Resursov Shel'fa [Ecological Safety of Coastal and Shelf Zones and Comprehensive Use of Shelf Resources]. Sevastopol: MHI. Iss. 16, pp. 97-115 (in Russian).
- Gemmrich, J., Zappa, C.J., Banner, M.L. and Morison, R.P., 2013. Wave Breaking in Developing and Mature Seas. JGR: Oceans, [e-journal] 118(9), pp. 4542-4552. https://doi.org/10.1002/jgrc.20334
- Gemmrich, J.R, Banner, M.L. and Garrett, C., 2008. Spectrally Resolved Energy Dissipation Rate and Momentum Flux of Breaking Waves. Journal of Physical Oceanography, [e-journal] 38(6), pp. 1296-1312. https://doi.org/10.1175/2007JPO3762.1
- Mironov, A.S. and Dulov, V.A., 2007. Detection of Wave Breaking Using Sea Surface Video Records. Measurement Science and Technology, [e-journal] 19(1), 015405. doi:10.1088/0957-0233/19/1/015405
- Fairall, C.W., Bradley, E.F., Hare, J.E., Grachev, A.A. and Edson, J.B., 2003. Bulk Parameterization of Air–Sea Fuxes: Updates and Verification for the COARE Algorithm. Journal of Climate, [e-journal] 16(4), pp. 571-591. doi:10.1175/1520-0442(2003)016<0571:BPOASF>2.0.CO;2
- Phillips, O.M., 1985. Spectral and Statistical Properties of the Equilibrium Range in Wind-Generated Gravity Waves. Journal of Fluid Mechanics, [e-journal] 156, pp. 505-531. https://doi.org/10.1017/S0022112085002221
- Hanson, J.L. and Phillips, O.M., 1999. Wind Sea Growth and Dissipation in the Open Ocean. Journal of Physical Oceanography, [e-journal] 29(8), pp. 1633-1648. doi:10.1175/1520-0485(1999)029<1633:WSGADI>2.0.CO;2
- Sutherland, P. and Melville, W.K., 2013. Field Measurements and Scaling of Ocean Surface Wave‐Breaking Statistics. Geophysical Research Letters, [e-journal] 40(12), pp. 3074-3079. https://doi.org/10.1002/grl.50584
- Kleiss, J.M. and Melville, W.K., 2010. Observations of Wave Breaking Kinematics in Fetch-Limited Seas. Journal of Physical Oceanography, [e-journal] 40(12), pp. 2575-2604. https://doi.org/10.1175/2010JPO4383.1
- Duncan, J.H. and Longuet-Higgins, M.S., 1981. An Experimental Investigation of Breaking Waves Produced by a Towed Hydrofoil. Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences, [e-journal] 377(1770), pp. 331-348. https://doi.org/10.1098/rspa.1981.0127
- Makin, V.K. and Kudryavtsev, V.N., 1999. Coupled Sea Surface‐Atmosphere Model: 1. Wind Over Waves Coupling. JGR: Oceans, [e-journal] 104(C4), pp. 7613-7623. https://doi.org/10.1029/1999JC900006
- Donelan, M.A., Hamilton, J., Hui, W.H. and Stewart, R.W., 1985. Directional Spectra of Wind-Generated Ocean Waves. Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, [e-journal] 315(1534), pp. 509-562. https://doi.org/10.1098/rsta.1985.0054
- Romero, L., Melville, W.K. and Kleiss, J.M., 2012. Spectral Energy Dissipation due to Surface Wave Breaking. Journal of Physical Oceanography, [e-journal] 42(9), pp. 1421-1444. https://doi.org/10.1175/JPO-D-11-072.1