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http://dx.doi.org/10.7846/JKOSMEE.2011.14.2.138

On the Statistical Characteristics of Freak Wave Occurrence  

Kim, Do-Young (Department Naval Architecture and Ocean Engineering, Hongik University)
Publication Information
Journal of the Korean Society for Marine Environment & Energy / v.14, no.2, 2011 , pp. 138-145 More about this Journal
Abstract
In this paper time series wave data are simulated by the Monte Calo method using random numbers to generate random phases of the wave signal. The simulated wave signasl are used to study the characteristics of freak waves. Various sea states are represented by combinations of the significant wave height $H_s$ defined in the spectrum method and the significant wave steepness $S_s$. For a fixed value of $S_s$, the probability of the occurrence of the freak wave is decreased as $H_s$ increases. For a fixed value of $H_s$ the probability of the occurrence of the freak wave increases as $S_s$ increases. The average value of the maximum wave height increase as $S_s$ increases, but the average height of freak wave remains the same and the value approaches two times of $H_s$. For the fixed value of $S_s$, average kurtosis of wave elevation increases as $H_s$ increases, but for a fixed $H_s$, the average kurtosis decreases as $S_s$ increases. The average of abnormality index(AI) is around 2.11 irregardless of $H_s$ and $S_s$. The maximum value of AI lies between 2.5 - 3.0. Therefore it is conjectured that AI maximum due to linear focusing is 3.0.
Keywords
Freak wave; Rogue wave; Occurrence probability of freak wave; Monte Carlo method; Abnormality index;
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Times Cited By KSCI : 2  (Citation Analysis)
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1 Kalif, C., Pleinovsky, E. and Slunyaev, A., 2009, Rogue Waves in the Ocean., Springer.
2 Mori, N., 1997, Occurrence properties of giant freak waves in Sea Area aroud Japan, J. waterway, port, coastal Engineering, July/Aug. pp. 209-213.
3 Lawton, G., 2001, Monsters of the deep (The Perfect Wave). New Scientist 170 No 2297, 28-32.
4 Faulkner, D., 2001, Rogue waves - defining their characteristics for marine design. In: Olagnon M, Athanassoulis GA (eds) Rogue Waves 2000, Ifremer, France, pp 3-18.
5 Compaq 2001, Compaq Visual Fortran version 6.6, Language Reference.
6 Stansell, P., Wolfram, J. and Linfoot, B., 2002, Effect of sampling rate on wave heght statistics, Ocean Eng. 29, 1023-1047.   DOI   ScienceOn
7 김도영, 2010, "비선형 해양파의 통계적 특성에 대한 해석", 한국해양환경공학회지, 제13권 2호, pp. 112-120.
8 신승호, 홍기용, 문재승, 2007, "Freak Wave 특성 파악을 위한 파랑관측 자료의 분석", 한국항해항만학회지 제31권 제6 호, pp. 471-478.
9 Rosenthal, W., Lehner, S., Dankert, H. et al., 2003, Detection of extreme single waves and wave statistics. In: RogueWaves: Forecast and Impact on Marine Structures. GKSS Research Center, Geesthacht, Germany.
10 Stansell, P., 2004, Distributions of extreme wave, crest and trough heights measured in the North Sea, Ocean Engineering, 32, pp. 1015-1036.
11 Tucker, M.J., 1991, Waves in Ocean Engineering, Ellis Horwood.
12 Yasuda, T. and Mori, N., 1997, Occurrence of giant freak waves in sea area around Japan, J. Waterway, Port, Coastal, and Ocean Engineering, 123(4), pp. 209-213.   DOI   ScienceOn
13 Liu, P.C. and MacHutchon, K.R., 2006, Are there different kinds of rogue waves? In: Proc 25th Int Conf OMAE 2006, Hamburg, Germany, 2006, OMAE2006-92619:1-6.
14 Mori, N., Paul, C.L. and Yasuda, T., 2002, Analysis of freak wave measurements in the Sea of Japan, Ocean Engineering 29, pp. 1399-1414.   DOI   ScienceOn
15 Mori, N., 2004, Occurrence probability of a freak wave in a nonlinear wave field, Ocean Engineering 31, pp. 165-175.   DOI   ScienceOn
16 Liu, P.C. and Pinho, U.F., 2004, Freak waves-more frequent that rare! Annales Geophysics, 22, pp. 1839-1842.   DOI   ScienceOn
17 Holliday, N.P., Yelland, M.J., Pascal, R., 2006, Were extreme waves in the Rockall Trough the largest ever recorded? Geophys Res Lett 33, L05613.   DOI   ScienceOn
18 Longuet-Higgins, M.S., 1980, "On the distribution of the heights of sea waves: some effects of non-linearity and finite bandwidth", J. Geophy. Res. Vol 85, C3, pp 1519-1523.   DOI
19 Guedes, S.C., Cherneva, Z., Antao, E.M., 2004, Abnormal waves during Hurricane Camille. J Geophys Res 109.