Abstract
On-site measurements show that water waves near islands and reefs in South China Sea exhibit different properties of wave energy distributions with regard to wave frequencies, among which the most prominent factor is the interplay of swells arising from the West Pacific Ocean and the local wind waves. Observations also show that the breaking waves continuously appear, containing more energy in high frequency components, and the nonlinear characteristics of the waves are important in adjusting the energy distribution. These properties may explain the large discrepancies between the well-accepted wave spectra (for example the P-M spectrum, Neumann spectrum, ITTC spectrum etc.) and the measured wave spectra near islands and reefs in South China Sea. Therefore, a new Rational Function Spectrum is proposed in this paper to describe waves near islands and reefs which turns out to show satisfactory accuracy. It well captures wave power distributions in the form of single and double peaks, at low- and high-frequency regions, as well as nonlinear scale power law. Based on the investigation of the measured data near an island in South China Sea, the relation between the parameters used in the Rational Function Spectrum and the statistical parameters of water waves (significant wave height and wave period) is established. It is noted that the wave properties at low- and high- frequencies are controlled by the local wind velocities at the wave growth stage, but remain constant at the wave decay stage. The parameter peak frequency is only dependent on the wave period corresponding to the maximum wave height. The parameter spectral peak is determined from the wave height and the wave period. These relations help to clarify the physical meanings of the parameters used in the Rational Function Spectrum, and thus provide an alternative spectral form to describe random waves near islands and reefs.
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References
Zong Z., Wang Y. G., Liu X. L. et al. Proposal of a Rational Function Wave Spectrum (RFWS) form for atoll waves [J]. Ocean Engineering, 2019, 189: 106402.
Pierson W. J., Moskowitz L. A. A proposed spectral form for fully developed wind seas based on the similarity theory of S. A. Kitaigorodskii [J]. Journal of Geophysical Research, 1964, 69(24): 5181–5203.
Huang N. E., Long S. R., Tung C. C. et al. A unified two-parameter wave spectral model for a general sea state [J]. Journal of Fluid Mechanics, 1981, 112: 203–224.
Hasselmann K., Barnett T. P., Bouws E. et al. Measurements of wind-wave growth and swell decay during the Joint North Sea Wave Project (JONSWAP) [J]. Deutche Hydrological Institute Hamburg, Germany, Reiche, 1973, 8(12): 1–95.
Young I. R., Verhagan L. A. The growth of fetch limited waves in water of finite depth. Part 1: Total energy and peak frequency [J]. Coastal Engineering, 1996, 29(1–2): 47–78.
Young I. R., Verhagen L. A. The growth of fetch limited waves in water of finite depth. Part 2. Spectral evolution [J]. Coastal Engineering, 1996, 29(1–2): 79–99.
Wen S. C., Zhang D. C., Chen B. H. et al. Theoretical wind wave frequency spectra in deep water-I. Form of spectrum [J]. Acta Oceanologica Sinica, 1988, 7(1): 6–21.
Wen S. C., Zhang D. C., Guo P. F. et al. Improved form of wind wave frequency spectrum [J]. Acta Oceanologica Sinica, 1989, 8(4): 467–483.
Wen S. C., Wu K. J., Guan C. L. et al. A proposed directional function and wind-wave directional spectrum [J]. Acta Oceanologica Sinica, 1995, (2): 155–166.
Wen S. C., Sun S. C., Wu K. J. et al. Effect of water depth on wind-wave frequency spectrum II. Verification and comparison [J]. Chinese Journal of Oceanology and Limnology, 1996, 14(3): 225–233.
Strekalov S., Tsyploukhin V. P., Massel S. Structure of sea wave frequency spectrum [J]. Coastal Engineering Proceedings, 1972, 1(13): 1–14.
Ochi M. K., Hubble E. N. Six-parameter wave spectra [C]. Proceedings of the 15th Coastal Engineering Conference, Honolulu, Hawali, USA, 1976.
Soares C. G. Presentation of doubled-peaked sea wave spectra [J]. Ocean Engineering, 1984, 11(2): 185–207.
Torsethaugen K. A two-peak wave spectral model [C]. Proceedings of the 12th OMAE Conference, Glasgow, UK, 1993.
Mackay E. Modeling and description of omnidirectional wave spectra [C]. Proceedings of the 9th European Wave and Tidal Energy Conference, Japan, 2011.
Panahi R. A., Ghasemi K., Shafieefar M. Development of a b-modal directional wave spectrum [J]. Ocean Engineering, 2015, 105: 104–111.
Zong Z., Wang Y. G., Liu X. L. et al. Study on the rational form of wave spectrum near islands and reefs [J]. Chinese Journal of Hydrodynamics, 2018, 33(5): 30–35.
Zong Z. Information-theoretic methods for estimating of complicated probability distributions [M]. Oxford, UK: Elsevier Science and Technology, 2006.
Chun H., Suh K. Estimation of significant wave period from wave spectrum [J]. Ocean Engineering, 2018, 163: 609–616.
China Meteorological Administration. Typhoon weather database [EB/OL]. The Public Weather Service Center of CMA, 2016, http://typhoon.weather.com.cn/.
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Projects supported by the Key Program of National Natural Science Foundation of China (Grant No. 51639003), the National Natural Science Foundation of China (Grant No. 51679037), the Ministry of Science and Technology with the Research (Grant No. 2013CB36101) and the Ministry of Industry and Information Technology with the Research (Grant No. [2016]22).
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Yi-geng Wang (1988-), Male, Ph. D. Candidate, E-mail: wang_yigeng@163.com
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Wang, Yg., Zong, Z., Zhou, L. et al. On the properties of the Rational Function Spectrum describing waves near islands and reefs in South China Sea. J Hydrodyn 33, 879–888 (2021). https://doi.org/10.1007/s42241-021-0078-9
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DOI: https://doi.org/10.1007/s42241-021-0078-9