Conditional second-order short-crested water waves applied to extreme wave episodes

Journal of Fluid Mechanics

Volumn 545, Issue , 2005, Pages 29-40

  Jensen, Jørgen Juncher ^a  

^a TECHNICAL UNIVERSITY OF DENMARK   (Denmark)

Author keywords

[No Author keywords available]

Indexed keywords

CORRELATION METHODS; FINITE ELEMENT METHOD; KINEMATICS; MATHEMATICAL MODELS; PROBABILITY DENSITY FUNCTION; RANDOM PROCESSES; STATISTICAL METHODS;

FINITE-WATER WAVE THEORY; SECOND-ORDER SHORT-CRESTED WATER WAVES; WAVE KINEMATICS;

WATER WAVES;

CORRELATION METHODS; FINITE ELEMENT METHOD; KINEMATICS; MATHEMATICAL MODELS; PROBABILITY DENSITY FUNCTION; RANDOM PROCESSES; STATISTICAL METHODS; WATER WAVES;

FLUID MECHANICS; MATHEMATICAL ANALYSIS; WATER WAVE;

EID: 30744469868     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112005006841     Document Type: Article

References (25)

1. Anastasiou, K., Tickell, R. G. & Chaplin, J. R. 1983 The nonlinear properties of random wave kinematics. Proc. Third International Conference on the Behavior of Offshore Structures (BOSS'83) (ed. C. Chryssostomidis & J. J. Connors).
2. Bateman, W. J. D., Swan, C. & Taylor, P. H. 2001 On the efficient numerical simulation of directionally spread surface water waves. J. Comput. Phys. 174, 277-305.
3. Dalzell, J. F. 1999 A note on finite depth second-order wave-wave interactions. Appl. Ocean Res. 21, 105-111.
4. Dietz, J. S., Friis-Hansen, P. & Jensen, J. J. 2004 Design waves episodes for extreme value ship responses. Proc. PRADS'04, Travemünde, pp. 286-293 (ed. H. Keil & E. Lehmann). Schiffboutechnische Gesellschaft.
5. Dysthe, K. B., Trulsen, K., Krogstad, H. E. & Socquet-Juglard, H. 2003 Evolution of a narrow-band spectrum of random surface gravity waves. J. Fluid Mech. 478, 1-10.
6. Faulkner, D. 2000 Rogue wages-defining their characteristics for marine design. Proc. Rogue Waves 2000, Brest, France (ed. M. Olagnon), pp. 3-18. IFREMER.
7. Haver, S. & Andersen, O. J. 2000 Freak waves: Rare realizations of a typical population or a typical realization of a rare population? Proc. 10th ISOPE Conference, Seattle, USA, Vol. 3, pp. 123-130.
8. Janssen, P. A. E. M. 2003 Nonlinear four-wave interactions and freak waves. J. Phys. Oceanogr. 33, 863-884.
9. Jensen, J. J. 1996 Second-order wave kinematics conditional on a given wave crest. Appl. Ocean Res. 18, 119-128.
10. Jensen, J. J. 2004 Conditional short-crested second waves in shallow water and with superimposed current. Proc. OMAE 2004, Vancouver, BC, Canada, Paper 51243. ASME.
11. Krogstad, H. E., Liu, J., Socquet-Juglard, H., Dysthe, K. B. & Trulsen, K. 2004 Spatial extreme value analysis of nonlinear simulations of random surface waves. Proc. OMAE 2004, Vancouver, BC, Canada, Paper 51336. ASME.
12. Lindgren, G. 1972 Local maxima of Gaussian fields. Arkiv Mathematik 10, 195-218.
13. Longuet-Higgins, M. S. 1963 The effect of nonlinearities on statistical distributions in the theory of sea waves. J. Fluid Mech. 17, 459-480.
14. Madsen, A. H. 1987 A quadratic theory for the fatigue life estimation of offshore structures. Appl. Ocean Res. 9, 67-80.
15. Madsen, P. A., Bingham, H. & Schaffer, H. 2003 Boussinesq-type formulations for fully nonlinear and extremely dispersive water waves: derivations and analysis. Proc. R. Soc. Lond. A 459, 1075-1104.
16. Nieto-Borge, J. C., Lehner, S., Schneiderhan, T., Schulz-Stellenfleth, J. & Niedermeier, A. 2004 Use of spaceborne synthetic aperture radar for offshore wave analysis. Proc. OMAE 2004, Vancouver, Canada, Paper OMAE20004-51588. ASME.
17. Osborne, A. R., Onorato, M. & Serio, M. 2000 The nonlinear dynamics of rogue waves and holes in deep-water gravity wave trains. Phys. Lett. A 275, 386-393.
18. Sharma, J. & Dean, R. G. 1979 Second-order directional seas and associated wave forces. Proc. Offshore Technology Conference, Paper 3645, pp. 2505-2514.
19. Stansberg, C. T. & Gudmestad, O. T. 1996 Non-linear wave kinematics models verified against measurements in steep waves. Proc. 15th OMAE Conference, Florence, Italy, June 1996, Vol. 1A, pp. 15-24. ASME.
20. Taylor, P. H. 1992 On the kinematics of large ocean waves. Proc. BOSS'92, Vol. I, pp. 134-145. BPP Technical Services Ltd.
21. Taylor, P. H., Jonathan, P. & Harland, L. A. 1995 Time domain simulation of jack-up dynamics with the extremes of a Gaussian process. Proc. OMAE1995, Copenhagen, Denmark, Vol. IA, pp. 313-319. ASME.
22. Tromans, P. S., Anaturk, A. R. & Hagemeijer, P. 1991 A new model for the kinematics of large ocean waves - application as a design wave. Proc. ISOPE, Vol. III, pp. 64-71.
23. Vinje, T. & Haver, S. 1994 On the non-Gaussian structure of ocean waves. Proc. BOSS'94, Vol. II, pp. 453-479. Pergamon.
24. Winterstein, S. R. 1988 Nonlinear vibration models for extremes and fatigue. J. Engng Mech. 114, 1772-1790.
25. Zhang, J. & Chen, L. 1999 General third-order solutions for irregular waves in deep water. J. Engng Mech. 125, 768-779.