Second-order water wave diffraction by an array of vertical cylinders

Journal of Fluid Mechanics

Volumn 390, Issue , 1999, Pages 349-373

  Malenica, S ^a   Eatock Taylor, R ^b   Huang, J B ^b  

^a BUREAU VERITAS   (France)

^b UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

CYLINDERS (SHAPES); EIGENVALUES AND EIGENFUNCTIONS; FLOW PATTERNS; INTEGRAL EQUATIONS; WATER WAVES;

WATER WAVE DIFFRACTION;

FLOW OF WATER;

EID: 0344339129     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112099005273     Document Type: Article

References (29)

1. ABRAMOWITZ, M. & STEGUN, I. 1970 Handbook of Mathematical Functions. Dover.
2. CHAU, F. P. 1989 The second-order velocity potential for diffraction of waves by fixed offshore structures. PhD thesis, University of London.
3. CHAU, F. P. & EATOCK TAYLOR, R. 1992 Second order wave diffraction by a vertical cylinder. J. Fluid Mech. 240, 571-599.
4. CHEN, X. B. 1991 Second-order high frequency loads on tension leg platform columns. Institut Francais du Petrole, Rep. 38741.
5. CHEN, X. B., MOLIN, B. & PETITJEAN, F. 1991 Faster evaluation of resonant exciting loads on tension leg platform. In Proc. VII Intl Symp. Offshore Engng, Brasil Offshore '91, Rio de Janeiro.
6. CHEN, X. B., MOLIN, B. & PETITJEAN, F. 1995 Numerical evaluation of the springing loads on tension leg platforms. Marine Structures 8, 501-524.
7. EATOCK TAYLOR, R. & CHAU, F. P. 1992 Wave diffraction theory. Some developments in linear and nonlinear theory. J. Offshore Mech. Arctic Engng 114, 185-194.
8. EATOCK TAYLOR, R. & HUANG, J. B. 1997a Second-order wave diffraction by an axisymmetric body in monochromatic waves. Proc. R. Soc. Lond. A 453, 1515-1541.
9. EATOCK TAYLOR, R. & HUANG, J. B. 1997b Semi-analytical solution for second-order diffraction by a vertical cylinder in bichromatic waves. J. Fluids Structures 11, 465-484
10. EVANS, D. V. & PORTER, R. 1997 Near trapping of waves by circular arrays of vertical cylinders. Appl. Ocean Res. 19, 83-99.
11. FENTON, J. D. 1978 Wave forces on vertical bodies of revolution. J. Fluid Mech. 85, 241-255.
12. FERRANT, P. 1996 Simulation of strongly non-linear wave generation and wave-body interactions using a three-dimensional MEL model. In Proc. 21st Sympos. on Naval Hydrodynamics, Trondheim, Norway.
13. HUANG, J. B. & EATOCK TAYLOR, R. 1996a Semi-analytical solution for second-order wave diffraction by a truncated circular cylinder in monochromatic waves. J. Fluid Mech. 319, 171-196.
14. HUANG, J. B. & EATOCK TAYLOR, R. 1996b Second-order interaction between waves and multiple bottom-mounted vertical circular cylinders. In 11th Intl Workshop on Water Waves and Floating Bodies, Hamburg, Germany (ed. V. Bertram). Institut für Schiffbau.
15. KIM, M. H. & YUE, D. K. P. 1989 The complete second-order diffraction solution for an axisymetric body. Part 1. Monochromatic incident waves. J. Fluid Mech. 200, 235-264.
16. KRIEBEL, D. L. 1990 Nonlinear wave interaction with a vertical circular cylinder, part I: diffraction theory. Ocean Engng 17, 345-377.
17. LIGHTHILL, M. J. 1979 Waves and hydrodynamic loading. In Proc. 2nd Intl Conf. on Behaviour of Offshore Structures, BOSS 79, London, UK (ed. H. S. Stephens & B. Knight), vol. 1, pp. 1-40.
18. LINTON, C. M. & EVANS, D. V. 1990 The interaction of waves with arrays of vertical circular cylinders. J. Fluid Mech. 215, 549-569.
19. MALENICA, Š. 1997 Second-order interaction of water waves with arrays of vertical cylinders. In Proc. 2nd Congress of Croatian Society of Mechanics, Supetar, Croatia, pp. 599-606.
20. MALENICA, Š. & MOLIN, B. 1995 Third harmonic wave diffraction by a vertical cylinder. J. Fluid Mech. 302, 203-229.
21. MOLIN, B. 1979 Second-order diffraction loads upon three-dimensional bodies. Appl. Ocean Res. 1, 197-202.
22. MOLIN, B. 1994 Second-order hydrodynamics applied to moored structures. Ship Tech. Res. 41/2.
23. NEWMAN, J. N. 1990 Second harmonic wave diffraction at large depths. J. Fluid Mech. 213, 61-98.
24. NEWMAN, J. N. 1996 The second-order wave force on a vertical cylinder. J. Fluid Mech. 320, 417-443.
25. NEWMAN, J. N. & LEE, C. H. 1992 Sensitivity of wave loads to the discretisation of bodies. In Proc. 6th Intl Conf. on Behaviour of Offshore Structures, BOSS 92, London, UK (ed. M. H. Patel & R. Gibbins), vol. 1, pp. 50-64.
26. ROMATE, J. E. 1989 The numerical simulation of nonlinear gravity waves in three dimensions using a higher order panel method. PhD thesis, University of Twente, The Netherlands.
27. SCOLAN, Y. M. & MALENICA, Š. 1998 Experimental and numerical second-order diffracted waves around an array of four cylinders. In Proc. 13th Intl Workshop on Water Waves and Floating Bodies, Alphen aan den Rijn, The Netherlands (ed. A. J. Hermans), pp. 135-138. Delft University of Technology.
28. SCOLAN, Y. M. & MOLIN, B. 1989 Second-order deformation of the free surface around a vertical cylinder. In Proc. 4th Intl Workshop on Water Waves and Floating Bodies, Oystese, Norway (ed. J. Grue), pp. 227-232. University of Oslo.
29. XUE, M. & YUE, D. K. P. 1995 Fully nonlinear three dimensional interaction between water waves and a surface piercing body. In Proc. 10th Intl Workshop on Water Waves and Floating Bodies, Oxford, UK (ed. R. Eatock Taylor), pp. 262-266. University of Oxford.