A data base of the recent Gulf of Tehuantepec experiment, of measured elevation of ocean surface waves in strong wind conditions, over swaths that are 6 km long by 200 m wide, is used as input for computation of the orbital velocity of the waves. Linear, quadratic and cubic approximations are compared to computations using a fully nonlinear-dispersive method in three dimensions, where the effect of a current is accounted for. A cancellation among the leading order quadratic terms is observed, and explains why a linear approximation when corrected by evaluation at the actual free surface provides a good estimate of the orbital velocity. Highly accurate results are obtained by including terms up to the cubic nonlinearity. The waves examined here have an estimated nonlinearity Kˆηm up to 0.4, Kˆ local wavenumber, ηm = 5 m maximal elevation, while historically high waves like those in Hurricane Camille and the Draupner wave have Kˆηm = 0.49 and ηm = 18.5 m (Draupner wave).
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ASME 2008 27th International Conference on Offshore Mechanics and Arctic Engineering
June 15–20, 2008
Estoril, Portugal
Conference Sponsors:
- Ocean, Offshore and Arctic Engineering Division
ISBN:
978-0-7918-4823-4
PROCEEDINGS PAPER
Orbital Velocity in Spatial Ocean Wave Elevation Measurement: Nonlinear Computation and Approximation
Leonel Romero,
Leonel Romero
University of California - San Diego, La Jolla, CA
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Jessica Kleiss,
Jessica Kleiss
University of California - San Diego, La Jolla, CA
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W. Kendall Melville
W. Kendall Melville
University of California - San Diego, La Jolla, CA
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John Grue
University of Oslo, Oslo, Norway
Leonel Romero
University of California - San Diego, La Jolla, CA
Jessica Kleiss
University of California - San Diego, La Jolla, CA
W. Kendall Melville
University of California - San Diego, La Jolla, CA
Paper No:
OMAE2008-57205, pp. 135-141; 7 pages
Published Online:
July 27, 2009
Citation
Grue, J, Romero, L, Kleiss, J, & Melville, WK. "Orbital Velocity in Spatial Ocean Wave Elevation Measurement: Nonlinear Computation and Approximation." Proceedings of the ASME 2008 27th International Conference on Offshore Mechanics and Arctic Engineering. Volume 6: Nick Newman Symposium on Marine Hydrodynamics; Yoshida and Maeda Special Symposium on Ocean Space Utilization; Special Symposium on Offshore Renewable Energy. Estoril, Portugal. June 15–20, 2008. pp. 135-141. ASME. https://doi.org/10.1115/OMAE2008-57205
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