• Journal of the Society of Naval Architects of Korea
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• v.34 no.3
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• pp.1-8
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• 1997

Internal solitary waves between two-stratified fluid layers are examined. Hamilton's principle is used to derive a governing equation. The wave speed-wave height relation is obtained and this agrees well with the experiment. The wave profiles obtained also agree well with the experimental result. There exist minimum and maximum wave speeds depending on the depth ratio and the density ratio of two layers. The KdV equation overpredicts the wave speed for a given wave height and underpredict the wave height for a given wave speed.

• Journal of Korean Society of Coastal and Ocean Engineers
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• v.14 no.4
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• pp.308-318
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• 2002

The requirements to the numerical model of wind-generated waves in shallow water are discussed in the framework of the Korteweg-de Vries equation. The weakness of nonlinearity and dispersion required for the Korteweg-de Vries equation applicability is considered for fully developed sea, non-stationary wind waves and swell, including some experimental data. We note for sufficient evaluation of the freak wave statistics it is necessary to consider more than about 10,000 waves in the wave record, and this leads to the limitation of the numerical domain and number of realizations. The numerical modelling of irregular water waves is made to demonstrate the possibility of effective evaluation of the statistical properties of freak waves with heights equal to 2-2.3 significant wave height.