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TECHNICAL PAPERS

A Lagrangian Model for Irregular Waves and Wave Kinematics

[+] Author and Article Information
Svein Helge Gjøsund

SINTEF Fisheries and Aquaculture, NO-7465 Trondheim, Norwaye-mail: Svein.H.Gjosund@fish.sintef.no

J. Offshore Mech. Arct. Eng 125(2), 94-102 (Apr 16, 2003) (9 pages) doi:10.1115/1.1554702 History: Received July 01, 2001; Revised April 01, 2002; Online April 16, 2003
Copyright © 2003 by ASME
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References

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Gudmestad, O. T., 1998, “On the Importance of Understanding Ocean Waves Kinematics for Calculation of Dynamics and Loads on Offshore Structures,” Proc. Ocean Wave Kinematics, Dynamics and Loads on Structures (Zhang, J., ed.), Houston, April 30th–May 1st, ASCE Press, pp. 1–8.
Gjøsund, S. H., 2000, “Kinematics in Regular and Irregular Waves Based on a Lagrangian Formulation,” doctoral thesis, Dept. of Structural Engineering, Norwegian University of Science and Technology (NTNU), Trondheim, Norway.
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Pierson, W. J. Jr., 1961, “Models of Random Seas Based on the Lagrangian Equations of Motion,” Tech. Rep. prepared for the Office of Naval Research under contract Nonr-285(03), New York Univ., Coll. of Eng. Res. Div., Dept. of Meteorology and Oceanography, April.
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Le Méhauté, B., 1976, An Introduction to Hydrodynamics and Water Waves, Springer-Verlag N.Y., pp. 244–245.
Moe, G., Arntsen, O̸. A., and Gjøsund, S. H., 1998, “Wave Kinematics based on a Lagrangian Formulation,” Proc. Ocean Wave Kinematics, Dynamics and Loads on Structures (Zhang, J., ed.), Houston, April 30th–May 1st, ASCE Press, pp. 56–63.
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Figures

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Regular Gerstner wave (limit case ka=1). ∇ Marks the still water line
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Surface profile of two-component waves, linear Lagrangian model
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Surface profile of two-component waves, linear Eulerian model
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Two-component waves of comparable individual lengths and steepnesses: (–) linear Lagr. model, (- - -) linear Eul. model
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Surface elevation case I14
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Surface elevation case I14
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Surface elevation case I14
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u(z) Beneath highest crest in Fig. 5
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u(z) Beneath highest crest in Fig. 6
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u(z) Beneath highest crest in Fig. 7
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Surface elevation case I18
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Surface elevation case I18
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Surface elevation case I18
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u(z) Beneath highest crest in Fig. 11
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u(z) Beneath highest crest in Fig. 12
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u(z) Beneath highest crest in Fig. 13
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Wave energy spectrum case I14
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Wave energy spectrum case I18
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Timeseries of surface elevation, and of horizontal and vertical velocity at z=0.10 m (dashed line), case I18, cf. Fig. 11. Solid line: measurements, dotted line: Lagr. model
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Timeseries of surface elevation, and of horizontal and vertical velocity at z=−0.20 m (dashed line), case I18, cf. Fig. 11. Solid line: measurements, dotted line: Lagr. model

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