Abstract
A three dimensional numerical model of nonlinear wave action on a quasi-ellipse caisson in a time domain was developed in this paper. Navier-Stokes equations were solved by the finite difference method, and the volume of fluid (VOF) method was employed to trace the free surface. The partial cell method was used to deal with the irregular boundary typical of this type of problem during first-time wave interaction with the structure, and a satisfactory result was obtained. The numerical model was verified and used to investigate the effects of the relative wave height H/d, relative caisson width kD, and relative length-width ratio B/D on the wave forces of the quasi-ellipse caisson. It was shown that the relative wave height H/d has a significant effect on the wave forces of the caisson. Compared with the non-dimensional inline wave force, the relative length-width ratio B/D was shown to have significant influence on the non-dimensional transverse wave force.
Similar content being viewed by others
References
Bai Jingtao, Hu Jiashun (2006). Research on and design of new structure of elliptical caissoned pier. Journal of Port & Waterway Engineering, 395(11), 25–30.
Dong Zhongya (2008). Computation method for floating stability of elliptical caissons. Journal of Port & Waterway Engineering, 411(1), 53–59.
Hirt CW, Nichols BD (1981). Volume of fluid (VOF) method for the dynamics of free boundaries. Journal of Computational Physics, 39, 201–225.
Li Yucheng, Teng Bin (2002). Wave action on maritime structures. The Ocean Press, Beijing, China, 53–56.
Maccamy RC, Fuchs RA (1954). Wave forces on piles: a diffraction theory. US Army Coastal Engineering Research Center, Tech. Mem., 69.
Qi Peng (2001). The coupled numerical model for wave actions on structures in the nearshore zone and its applications in engineering. Ph.D. thesis, Dalian University of Technology, Dalian, 28–29.
Qi Peng, Hou Yijun (2004). A 2D/3D coupled model for wave forces on moored ships in a harbor. Journal of Hydrodynamics, Ser.B, 16(5), 633–639.
Ren Xiaozhong, Wang Yongxue, Wang Guoyu (2007). The wave force on the multiple quasi-ellipse caissons. Proceedings of the Fourth International Conference on Asian and Pacific Coasts, Nanjing, China, 201–208.
Ren Xiaozhong, Wang Yongxue, Wang Guoyu (2009a). Experimental study of wave force on multiple quasi-ellipse caisson structure. Journal of Dalian University of Technology, 49(6), 944–950.
Ren Xiaozhong, Wang Yongxue, Wang Guoyu (2009b). The irregular wave loading on the quasi-ellipse caisson. Journal of Ship & Ocean Engineering, 38(1), 85–89.
Wan Decheng, Miu Guoping (1998). Numerical simulations of waves overtopping an erect quadrate column. Journal of hydrodynamics, 13(3), 363–370.
Wang Yongxue, Su TC (1991). Numerical simulation of liquid sloshing in cylindrical containers. Acta Aerodyn Sinica, 9(1), 112–119.
Wang Yongxue, Zang Jun, Qiu Dahong (1999). Numerical model of cnoidal wave flume. Journal of China Ocean Engineering, 13(4), 391–398.
Zhu Guochun, Ding Jianxin (2007). Design and application of ellipsoidal caisson’s suspended rudder. Journal of China Harbour Engineering, 150(4), 61–62.
Author information
Authors and Affiliations
Corresponding author
Additional information
Foundation item: Supported by the Science and Technology Program on Transportation Construction in Western China, Ministry of Communications under Grant No.2004-328-832-51.
Yongxue Wang was born in 1955. He is a professor and PhD advisor at Dalian University of Technology. His research interests are nonlinear wave force, wave break-up, wave impact, submarine pipeline spans, and sea ice. He has presided over fifty research subjects.
Xiaozhong Ren was born in 1981. He is a PhD candidate at Dalian University of Technology. His research interest is wave interaction with structures.
Guoyu Wang is an associate professor at Dalian University of Technology. His research interests are wave interaction with structures and new breakwaters.
Rights and permissions
About this article
Cite this article
Wang, Y., Ren, X. & Wang, G. Numerical simulation of nonlinear wave force on a quasi-ellipse caisson. J. Marine. Sci. Appl. 10, 265–271 (2011). https://doi.org/10.1007/s11804-011-1068-z
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11804-011-1068-z