The diffraction of multidirectional random surface waves with one or more rectangular submarine pits is investigated theoretically. The incident wave conditions are specified using a discrete form of the Mitsuyasu directional spectrum. The numerical model involves the superposition of regular-wave diffraction solutions based on linearized shallow water wave theory obtained by a two-dimensional boundary integral approach for water of uniform depth. Numerical results are presented for multi-directional random waves that illustrate the effect of the various wave and pit parameters on the diffraction characteristics of typical single and multiple pit systems.
Issue Section:
Special Issue Technical Papers
1.
Newman
, J. N.
, 1965
, “Propagation of Water Waves Over an Infinite Step
,” J. Fluid Mech.
, 23
, pp. 399
–415
.2.
Hilaly
, N.
, 1969
, “Water Waves Over a Rectangular Channel Though a Reef
,” J. Waterw. Harbors Div., Am. Soc. Civ. Eng.
, 95
, pp. 77
–94
.3.
Lee
, J. J.
, and Ayer
, R. M.
, 1981
, “Wave Propagation Over a Rectangular Trench
,” J. Fluid Mech.
, 110
, pp. 335
–347
.4.
Miles
, J. W.
, 1982
, “On Surface Wave Diffraction by a Trench
,” J. Fluid Mech.
, 115
, pp. 315
–325
.5.
Kirby
, J. T.
, and Dalrymple
, R. A.
, 1983
, “Propagation of Obliquely Incident Water Waves Over a Trench
,” J. Fluid Mech.
, 133
, pp. 47
–63
.6.
Ting
, C. K. F.
, and Raichlen
, F.
, 1986
, “Wave Interaction With a Rectangular Trench
,” J. Waterw., Port, Coastal, Ocean Eng.
, 112
, pp. 454
–460
.7.
Kirby
, J. T.
, Dalrymple
, R. A.
, and Seo
, S. N.
, 1987
, “Propagation of Obliquely Incident Water Waves Over a Trench. Part 2. Current Flowing Along the Trench
,” J. Fluid Mech.
, 176
, pp. 95
–116
.8.
Williams
, A. N.
, 1990
, “Diffraction of Long Waves by Rectangular Pit
,” J. Waterw., Port, Coastal, Ocean Eng.
, 116
, pp. 459
–469
.9.
McDougal
, W. G.
, Williams
, A. N.
, and Furukawa
, K.
, 1996
, “Multiple-Pit Breakwaters
,” J. Waterw., Port, Coastal, Ocean Eng.
, 122
, pp. 27
–33
.10.
Williams
, A. N.
, and Vazquez
, J. H.
, 1991
, “Wave Interaction With a Rectangular Pit
,” ASME J. Offshore Mech. Arct. Eng.
, 113
, pp. 193
–198
.11.
Goda, Y., 1985, “Random Seas and Design of Maritime Structures,” Univ. of Tokyo Press.
12.
Mitsuyasu
, H.
, Tasai
, F.
, Suhara
, T.
, Mizuno
, S.
, Ohkusu
, M.
, Honda
, T.
, and Rikiishi
, K.
, 1975
, “Observation of the Directional Spectrum of Ocean Waves Using a Cloverleaf Buoy
,” J. Phys. Oceanogr.
, 5
, pp. 750
–760
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