Conditional Short-crested second order waves in shallow water and with superimposed current

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Abstract

For bottom-supported offshore structures like oil drilling rigs and oil production platforms, a deterministic design wave approach is often applied using a regular non-linear Stokes' wave. Thereby, the procedure accounts for non-linear effects in the wave loading but the randomness of the ocean waves is poorly represented, as the shape of the wave spectrum does not enter the wave kinematics. To overcome this problem and still keep the simplicity of a deterministic approach, Tromans, Anaturk and Hagemeijer (1991) suggested the use of a deterministic wave, defined as the expected linear Airy wave, given the value of the wave crest at a specific point in time or space. In the present paper a derivation of the expected second order short-crested wave riding on a uniform current is given. The analysis is based on the second order Sharma and Dean shallow water wave theory and the direction of the main wind direction can make any direction with the current. Numerical results showing the importance of the water depth, the directional spreading and the current on the conditional mean wave profile and the associated wave kinematics are presented. A discussion of the use of the conditional wave approach as design waves is given.
Original languageEnglish
Title of host publicationProceedings of 23st International Conference on Offshore Mechanics and Arctic Engineering
PublisherInternational Conference on Offshore Mechanics and Arctic Engineering
Publication date2004
Publication statusPublished - 2004
EventInternational Conference on Offshore Mechanics and Arctic Engineering - Vancouver, Canada, 20-25 June
Duration: 1 Jan 2004 → …

Conference

ConferenceInternational Conference on Offshore Mechanics and Arctic Engineering
CityVancouver, Canada, 20-25 June
Period01/01/2004 → …

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