Lee H S, Williams A N, Lee B H, et al. Diffraction of multidirectional random waves by multiple rectangular submarine pits [J]. Ocean Engineering, 2003, 30(1): 85-106.
[2]
Lee H S, Wang K H, Williams A N. A three-dimensional modeling of multidirectional random wave diffraction by rectangular submarine pits [J]. Ocean Engineering, 2007, 34(5/6): 665-675.
[3]
Yu Y X, Liu S X, Li Y S, et al. Refraction and diffraction of random waves through breakwater [J]. Ocean Engineering, 2000, 27: 489-509.
[4]
Li Y S, Liu S X, Yu Y X, et al. Numerical modeling of multi-directional irregular waves through breakwaters [J]. Applied Mathematical Modelling, 2000, 24: 551-574.
[5]
Yu Y X, Zhang N C,Zhao Q. Wave actions on a vertical cylinder in multi-directional random waves [C]. Orlando: Proceedings of 25th Conference on Coastal Engineering, 1996: 415-428.
[6]
Liu S X, Sun Z B and Li J X .Numerical calculation of multidirectional wave run- up in pile group by a FEM Boussinesq model [C]. Busan: The Ninth (2010) ISOPE Pacific/Asia Offshore Mechanics Symposium, 2010: 14-17.
[7]
Liu S X, Sun Z B, Li J X. An unstructured FEM model based on Boussinesq equations and its application to the calculation of multidirectional wave run-up in a cylinder group [J]. Applied Mathematical Modelling, 2012, 36(9): 4146-4164.
[8]
Huntington S M, Thompson D M. Forces on a large vertical cylinder in multi-directional random waves [C]. Houston: Offshore Technology Conferrence, 1976: 170-181.
[9]
Mizutani N, Sanada T, Matsumoto S, et al. Wave forces on large cylinders in multidirectional irregular waves [C]. Montreal: Proceedings of the 8th International Offshore and Polar Engineering Conference, 1998: 543-550.
[10]
Niedzwecki J M, Liagre P F, Borgman L E. Directional sea response of a mini-TLP [C]. Stavanger: Proceedings of the 11th International Offshore and Polar Engineering Conference, 2001: 447-452.
[11]
Li J X, Wang Z H, Liu S X. Experimental study of interactions between multi-directional focused wave and vertical circular cylinder, Part I: Wave run-up [J]. Coastal Engineering, 2012, (64): 151-160.
[12]
Goda Y. A comparative review on the functional forms of directional wave spectrum [J]. Coastal Engineering Journal, 1999, 41(1): 1-20.
[13]
Longuet-Higgins M S, Cartwright D E, Smith N D. Observations of the directional spectrum of sea waves using the motions of floating buoy [C]. New Jersey: Ocean Wave Spectra, 1961: 111-132.
[14]
俞聿修, 柳淑学. 随机波浪及其工程应用[M]. 辽宁: 大连理工大学出版社, 2010: 250-253. Yu Yuxiu, Liu Shuxue. Random wave and its applications for engineering [M]. Liaoning: Dalian University of Technology Press, 2010: 250-253. (in Chinese)
[15]
Morison J R, O’Brien M P, Johnson J W, et al. The forces exerted by surface wave on piles [J]. Journal of Petroleum Technology, 1950, 2(5): 149-154.
[16]
Havelock T H. The pressure of water waves upon a fixed obstacle [J]. Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1940, 175(963): 409-421.
[17]
MacCamy R C, Fuchs R A. Wave forces on piles: A diffraction theory [M]. Washington DC: US Army Beach Erosion Board, 1954: 1-17.
[18]
Newman J N. The second-order wave force on a vertical cylinder [J]. Journal of Fluid Mechanics, 1996(320): 417-443.
[19]
Kriebel D L. Nonlinear wave interaction with a vertical circular cylinder. Part I: Diffraction theory [J]. Ocean Engineering, 1990, 17(4): 345-377.
[20]
Kriebel D L. Nonlinear wave interaction with a vertical circular cylinder. Part II: Wave run-up [J]. Ocean Engineering, 1992, 19(1): 75-99.
[21]
Kriebel D L. Nonlinear wave interaction with a vertical circular cylinder: Wave forces [J]. Ocean Engineering, 1998, 25(7): 597-605.
[22]
Akyildiz H. Experimental investigation of pressure distribution on a cylinder due to the wave diffraction in a finite water depth [J]. Ocean Engineering, 2002, 29(9): 1119-1132.
