Nonlinear space-time evolution of wave groups with a high crest

Journal of Offshore Mechanics and Arctic Engineering

Volumn 127, Issue 1, 2005, Pages 46-51

  Arena, Felice ^a   Fedele, Francesco ^b  

^a UNIVERSITY MEDITERRANEA OF REGGIO CALABRIA   (Italy)

^b UNIVERSITY OF VERMONT   (United States)

Author keywords

Probability of exceedance; Second order; Surface displacement; Velocity potential; Wave crest; Wave group

Indexed keywords

COMPUTER SIMULATION; MONTE CARLO METHODS; PROBABILITY; SPACE TIME ADAPTIVE PROCESSING;

CREST; LINEAR RANDOM WAVES; NONLINEAR SPACE-TIME EVOLUTION; WAVE HEIGHT;

WAVES;

OFFSHORE PLATFORM;

EID: 17744378557     PISSN: 08927219     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.1854705     Document Type: Article

References (28)

1. Boccotti, P., 1981, "On the highest waves in a stationary Gaussian process," Atti Accad. Ligure Sci. Lett., Genoa, 38, pp. 271-302.
2. Boccotti, P., 1982, "On ocean waves with high crests," Meccanica, 17, pp. 16-19.
3. Boccotti, P., 1983, "Some new results on statistical properties of wind waves," Appl. Ocean. Res., 5, pp. 134-140.
4. Boccotti, P., 1989, "On mechanics of irregular gravity waves," Atti Accad. Naz. Lincei, Mem., Cl. Sci. Fis., Mat. Nat., Sez. la, 19, pp. 11-170.
5. Boccotti, P., 1997, "A general theory of three-dimensional wave groups," Ocean Eng., 24, pp. 265-300.
6. Boccotti, P., 2000, Wave mechanics for ocean engineering, Elsevier Science, Oxford.
7. Boccotti, P., 1995, "A field experiment on the small-scale model of a gravity offshore platform," Ocean Eng., 22, pp. 615-627.
8. Boccotti, P., 1996, "Inertial wave loads on horizontal cylinders: a field experiment," Ocean Eng., 23, pp. 629-648.
9. Boccotti, P., Barbaro, G., and Mannino, L., 1993, "A field experiment on the mechanics of irregular gravity waves," J. Fluid Mech., 252, pp. 173-186.
10. Boccotti, P., Barbaro, G., and Fiamma, V. et al., 1993, "An experiment at sea on the reflection of the wind waves," Ocean Eng., 20, pp. 493-507.
11. Phillips, O. M., Gu, D., and Donelan, M., 1993, "On the expected structure of extreme waves in a Gaussian sea, I. Theory and SWADE buoy measurements," J. Phys. Oceanogr., 23, pp. 992-1000.
12. Phillips, O. M., Gu, D., and Walsh, E. J., 1993, "On the expected structure of extreme waves in a Gaussian sea, II. SWADE scanning radar altimeter measurements," J. Phys. Oceanogr., 23, pp. 2297-2309.
13. Lindgren, G., 1970, "Some properties of a normal process near a local maximum," Ann. Math. Stat., 41(6), pp. 1870-1883.
14. Lindgren, G., 1972, "Local maxima of Gaussian fields," Ark. Matematik, 10, pp. 195-218.
15. Tromans, P. S., Anaturk, A. R., and Hagemeijer, P., 1991, A new model for the kinematics of large ocean waves-application as a design wave-Shell International Research, publ. 1042.
16. Sharma, J. N., and Dean, R. G., 1979, Development and Evaluation of a Procedure for Simulating a Random Directional Second Order Sea Surface and Associated Wave Forces, Ocean Engineering Report No. 20, University of Delaware.
17. Tayfun, M. A., 1986, "On Narrow-Band Representation of Ocean Waves," J. Geophys. Res., [Atmos.], 91(6), pp. 7743-7752.
18. Fedele, F., Arena, F., 2003, "On the statistics of high non-linear random waves," Proc. 13th Int. Offshore and Polar Engng Conf. (ISOPE 2003), Honolulu, USA, III, 17-22.
19. Hasselmann, K., Barnett, T. P., Bouws, E. et al., 1973, Measurements of wind wave growth and swell decay during the Joint North Sea Wave Project (JONSWAP). Deut. Hydrogr. Zeit., A8, 1-95.
20. Jensen, J. J., 1996, "Second-order wave kinematics conditional on a given crest," Appl. Ocean Res. 18, pp. 119-128.
21. Tung, C. C., and Huang, N. E., 1985, "Peak and trough distributions of non-linear waves," Ocean Eng., 12, pp. 201-209.
22. Kriebel, D. L., and Dawson, T. H., 1991, "Nonlinear effects on wave groups in random seas," J. Offshore Mech. Arct. Eng., 113, pp. 142-147.
23. Forristall, G. Z., 2000, "Wave crest distributions: observations and second-order theory," J. Phys. Oceanogr., 30(8), pp. 1931-1943.
24. Prevosto, M., Krogstad, H. E., and Robin, A., 2000, "Probability distributions for maximum wave and crest heights," Coastal Eng., 40, pp. 329-360.
25. Arena, F., and Fedele, F., 2002, "A family of narrow-band non-linear stochastic processes for the mechanics of sea waves," Eur. J. Mech. B/Fluids, 21, pp. 125-137.
26. Al-Humoud, J., Tayfun, M. A., and Askar, H., 2002, "Distribution of nonlinear wave crests," Ocean Eng., 29, pp. 1929-1943.
27. Tayfun, M. A., and Al-Humoud, J., 2002, "Least upper bound distribution for nonlinear wave crest," J. Waterw., Port, Coastal, Ocean Eng., 128(4), pp. 144-151.
28. Fedele, F., Arena F., 2004, "Weakly nonlinear statistics of high random waves," Phys. Fluids, 17(2), pp. 1-10.