Conditional short-crested waves in shallow water and with superimposed current
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 wave...
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American Society of Mechanical Engineers
2002
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ftdtupubl:oai:pure.atira.dk:publications/9e015640-e6a7-4e9c-b33d-85bf0352d550 2023-12-03T10:14:43+01:00 Conditional short-crested waves in shallow water and with superimposed current Jensen, Jørgen Juncher 2002 https://orbit.dtu.dk/en/publications/9e015640-e6a7-4e9c-b33d-85bf0352d550 eng eng American Society of Mechanical Engineers info:eu-repo/semantics/restrictedAccess Jensen , J J 2002 , Conditional short-crested waves in shallow water and with superimposed current . in Proceeding of the 21st International Conference on Offshore Mechanics and Arctic Engineering . American Society of Mechanical Engineers , New York, NY (USA) , 21st International Conference on Offshore Mechanics and Arctic Engineering , Olso , Norway , 23/06/2002 . contributionToPeriodical 2002 ftdtupubl 2023-11-08T23:56:21Z 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 linear short-crested wave riding on a uniform current is given. The analysis is based on the conventional shallow water Airy wave theory and the direction of the main wind direction can make any direction with the current. A consistent derivation of the wave spectrum taking into account current and finite water depth is used. The numerical results show a significant effect of the water depth, the directional spreading and the current on the conditional mean wave profile. Extensions to higher order waves are finally discussed. Article in Journal/Newspaper Arctic Technical University of Denmark: DTU Orbit |
institution |
Open Polar |
collection |
Technical University of Denmark: DTU Orbit |
op_collection_id |
ftdtupubl |
language |
English |
description |
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 linear short-crested wave riding on a uniform current is given. The analysis is based on the conventional shallow water Airy wave theory and the direction of the main wind direction can make any direction with the current. A consistent derivation of the wave spectrum taking into account current and finite water depth is used. The numerical results show a significant effect of the water depth, the directional spreading and the current on the conditional mean wave profile. Extensions to higher order waves are finally discussed. |
format |
Article in Journal/Newspaper |
author |
Jensen, Jørgen Juncher |
spellingShingle |
Jensen, Jørgen Juncher Conditional short-crested waves in shallow water and with superimposed current |
author_facet |
Jensen, Jørgen Juncher |
author_sort |
Jensen, Jørgen Juncher |
title |
Conditional short-crested waves in shallow water and with superimposed current |
title_short |
Conditional short-crested waves in shallow water and with superimposed current |
title_full |
Conditional short-crested waves in shallow water and with superimposed current |
title_fullStr |
Conditional short-crested waves in shallow water and with superimposed current |
title_full_unstemmed |
Conditional short-crested waves in shallow water and with superimposed current |
title_sort |
conditional short-crested waves in shallow water and with superimposed current |
publisher |
American Society of Mechanical Engineers |
publishDate |
2002 |
url |
https://orbit.dtu.dk/en/publications/9e015640-e6a7-4e9c-b33d-85bf0352d550 |
genre |
Arctic |
genre_facet |
Arctic |
op_source |
Jensen , J J 2002 , Conditional short-crested waves in shallow water and with superimposed current . in Proceeding of the 21st International Conference on Offshore Mechanics and Arctic Engineering . American Society of Mechanical Engineers , New York, NY (USA) , 21st International Conference on Offshore Mechanics and Arctic Engineering , Olso , Norway , 23/06/2002 . |
op_rights |
info:eu-repo/semantics/restrictedAccess |
_version_ |
1784261840350478336 |