Abstract
The present study theoretically as well as experimentally investigates the interaction between waves and an array of porous circular cylinders with or without an inner porous plate based on the linear wave theory. To design more effective floating breakwaters, the transmission rate of waves propagating through the array is evaluated. Each cylinder in the array is partly made of porous materials. Specifically, it possesses a porous sidewall and an impermeable bottom. In addition, an inner porous plate is horizontally fixed inside the cylinders. It dissipates the wave more effectively and eliminates the sloshing phenomenon. The approach suggested by Kagemoto and Yue (1986) is adopted to solve the multiple-scatter problem, while a hierarchical interaction theory is adopted to deal with hydrodynamic interactions among a great number of bodies, which efficiently saves computation time. Meanwhile, a series of model tests with an array of porous cylinders is performed in a wave basin to validate the theoretical work and the calculated results. The draft of the cylinders, the location of the inner porous plate, and the spacing between adjacent cylinders are also adjusted to investigate their effects on wave dissipation.
Similar content being viewed by others
References
Abramowitz, M. and Stegun, A., 1964. Handbook of Mathematical Functions, Dover.
Dagan, G., 1989. Flow and Transport in Porous Formations, Belin: Springer-Verlag.
Duclos, G. and Clément, A. H., 2004. Wave propagation through arrays of unevenly spaced vertical piles, Ocean Eng., 31(13): 1655–1668.
Fujino, M., Kagemoto, H., Komai, T., Nakatubo, T. and Nakatuka, S., 1992. Hydrodynamic characteristics of permeable offshore structures, Proceedings of Naval Architecture & Ocean Engineering, 93–103. (in Japanese)
Kagemoto, H. and Yue, D. K. P., 1986. Interactions among multiple three-dimensional bodies in water waves: an exact algebraic method, J. Fluid Mech., 166, 189–209.
Kagemoto, H., 1995. On the comparisons of behaviors in waves of semisubmersible-type and pontoon-type very large floating structures, Proc. 13th Ocean Eng. Symp., Society of Naval Architects of Japan, 231–238.
Kashiwagi, M., 2000. Hydrodynamic interactions among a great number of columns supporting a very large flexible structure, J. Fluids Struct., 14(7): 1013–1034.
Linton, C. M. and Evans, D. V., 1992. The radiation and scattering of surface waves by a vertical circular cylinder in a channel, Philosophical Transactions: Physical Sciences and Engineering, 338(1650): 325–357.
Molin, B. and Legras, J. L., 1990. Hydrodynamic modeling of the ROSEAU tower stabilizer, Proc. 9th Int. Conf. Offshore Mechanics & Arctic Engineering (OMAE), Houston, 1(B): 239–336.
Silva, R., Govaere, G. and Salles, P., 2003. Wave interaction with cylindrical porous piles, Ocean Eng., 30(14): 1719–1740.
Song, H. and Tao, L., 2010. An efficient scaled boundary FEM model for wave interaction with a nonuniform porous cylinder, Int. J. Numer. Methods Fluids, 63(1): 96–118.
Spring, B. H. and Monkmeyer, P. L., 1974. Interaction of plane waves with vertical cylinders, Proc. 14th Int. Coast. Eng. Conf., Copenhagen, Denmark, 3, 1828–1847.
Tao, L., Song, H. and Chakrabarti, S. K., 2009. Scaled boundary FEM model for interaction of short-crested waves with a concentric porous cylindrical structure. J. Waterw. Port Coast Ocean Eng., 135(5): 200–212.
Taylor, G. I., 1956. Fluid flow in regions bounded by porous surfaces, Proceedings of the Royal Society of London, Series A, Mathematical and Physical Sciences, 234(1199): 456–475.
Wang, K. H. and Ren, X. G., 1994. Wave interaction with a concentric porous cylinder system, Ocean Eng., 21(4): 343–360.
Williams, A. N. and Abul-Azm, A. G., 1997. Dual pontoon floating breakwater, Ocean Eng., 24(5): 465–478.
Williams, A. N. and Li, W., 2000. Water wave interaction with an array of bottom-mounted surface-piercing porous cylinders, Ocean Eng., 27(8): 841–866.
Yeung, R. W. and Sphaier, S. H., 1989. Wave-interference effects on a truncated cylinder in a channel, J. Eng. Math., 23(2): 95–117.
Zhao, F. F., Bao, W. G., Kinoshita, T. and Itakura, H., 2010. Interaction of waves and a porous cylinder with an inner horizontal porous plate, Appl. Ocean Res., 32(2): 252–259.
Zhao, F. F., Bao, W. G., Kinoshita, T. and Itakura, H., 2011. Theoretical and experimental study on a porous cylinder floating in waves, Journal of Offshore Mechanics and Arctic Engineering, 133(1): 1261–1268.
Author information
Authors and Affiliations
Corresponding author
Additional information
The present study was financially supported by the Fundamental Research Funds for the Central Universities, the National Natural Science Foundation of China (Grant Nos. 40876049 and 31172446), the Science and Technology Department of Zhejiang Province (Grant No. 2008C12065-1), and the Teaching Department of Zhejiang Province (Grant No. Z200803912).
Rights and permissions
About this article
Cite this article
Zhao, Ff., Kinoshita, T., Bao, Wg. et al. Interaction between waves and an array of floating porous circular cylinders. China Ocean Eng 26, 397–412 (2012). https://doi.org/10.1007/s13344-012-0030-4
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s13344-012-0030-4