Abstract
Nonlinear diffraction of regular waves by an array of bottom-seated circular cylinders is investigated in frequency domain, based on a Stokes expansion approach. A complete semi-analytical solution is developed which allows an efficient evaluation of the second-order potentials in the entire fluid domain, and the wave forces on the structure. Expressions are derived for the second-order potential in the vicinity of individual cylinders. These expressions have a simple form, thus providing an effective means for investigating the wave enhancement due to nonlinear interactions with multiple cylinders. Based on the present method, the wave run-up and free-surface elevations around an array of two, three and four cylinders are investigated numerically.
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References
Lighthill MJ. Waves and hydrodynamic loading. In: Proc 2nd Int Conf Behaviour Offshore Structures, BOSS London, 1979. 1–40
Molin B. Second-order diffraction loads on three-dimensional bodies.Appl Ocean Res, 1979, 1: 197–212
Lee CH, Newman JN, Kim MH, et al. The computation of second-order wave loads. In: Proc 10th Int Conf on Offshore Mechanics and Arctic Engineering, New York: ASME 1991, IA, 113–123
Eatock TR, Chau FP. Wave diffraction theory—some developments in linear and nonlinear theory.J Offshore Mech and Arctic Engineering, 1992, 114: 185–194
Eatock TR, Hung SM. Second-order diffraction forces on a vertical cylinder in regular waves.Appl Ocean Res, 1987, 9: 19–30
Kriebel DL. Nonlinear wave interaction with a vertical circular cylinder, part 1: diffraction theory.Ocean Engineering, 1990, 17: 345–377
Kriebel DL. Nonlinear wave interaction with a vertical circular cylinder, part 2: wave run-up.Ocean Engineering, 1992, 19: 75–99
Newman JN. Second-harmonic wave diffraction at large depths.J Fluid Mech, 1990, 213: 59–70
Newman JN. The Second-harmonic wave force on a vertical cylinder.J Fluid Mech, 1996, 320: 417–443
Chau FP, Eatock TR. Second-order diffraction by a vertical cylinder.J Fluid Mech, 1992, 240: 571–599
Malenica S, Molin B. Third harmonic wave diffraction by a vertical cylinder.J Fluid Mech, 1995, 302: 203–229
Huang JB, Eatock TR. Semi-analytical solution for second-order wave diffraction by a truncated circular cylinder in monochromatic waves.J Fluid Mech, 1996, 319: 171–196
Kim MH, Yue DKP. The complete second-order diffraction solution for an axisymmetric body, Part 1, monochromatic waves.J Fluid Mech, 1989, 200: 235–264
Eatock TR, Huang JB. Second-order wave diffraction by an axisymmetric body in monochromatic waves.Proc R Soc Lond A, 1997, 453: 1515–1541
Linton CM, Evans DV. The interaction of waves with arrays of vertical circular cylinders.J Fluid Mech, 1990, 215: 549–569
Kagamoto H, Yue DKP. Interaction among multiple three-dimensional bodies in water waves: an exact algebraic method.J Fluid Mech. 1986, 166: 189–209
Ghalayini SA, Williams AN. Nonlinear wave forces on vertical cylinder arrays.J Fluids and Structures, 1991, 5: 1–32
Moubayed WI, Williams AN. Second-order hydrodynamic interactions in an array of vertical cylinders in bichromatic waves.J Fluids and Structures, 1995, 9: 61–98
Malenica S, Eatock TR, Huang JB. Second-order wave diffraction by an array of vertical cylinders.J Fluid Mech, 1999, 390: 349–373
Fenton JD. Wave forces on vertical bodies of revolution.Journal of Fluid Mechanics, 1978, 85: 241
Chau FP. The second order velocity potential for diraction of waves by fixed offshore structures. Rep. OEG/89/1. University College London, 1989
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Huang, J.B. Nonlinear free surface action with an array of vertical cylinders. Acta Mech Sinica 20, 247–262 (2004). https://doi.org/10.1007/BF02486717
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DOI: https://doi.org/10.1007/BF02486717