Skip to main content
Log in

Interaction between waves and an array of floating porous circular cylinders

  • Published:
China Ocean Engineering Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

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.

    Book  Google Scholar 

  • Duclos, G. and Clément, A. H., 2004. Wave propagation through arrays of unevenly spaced vertical piles, Ocean Eng., 31(13): 1655–1668.

    Article  Google Scholar 

  • 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.

    Article  MATH  Google Scholar 

  • 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.

    Article  Google Scholar 

  • 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.

    Article  MATH  Google Scholar 

  • 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.

    Google Scholar 

  • Silva, R., Govaere, G. and Salles, P., 2003. Wave interaction with cylindrical porous piles, Ocean Eng., 30(14): 1719–1740.

    Article  Google Scholar 

  • 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.

    MATH  Google Scholar 

  • 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.

    Google Scholar 

  • 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.

    Article  Google Scholar 

  • 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.

    Article  MATH  Google Scholar 

  • Wang, K. H. and Ren, X. G., 1994. Wave interaction with a concentric porous cylinder system, Ocean Eng., 21(4): 343–360.

    Article  Google Scholar 

  • Williams, A. N. and Abul-Azm, A. G., 1997. Dual pontoon floating breakwater, Ocean Eng., 24(5): 465–478.

    Article  Google Scholar 

  • 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.

    Article  Google Scholar 

  • 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.

    Article  MATH  Google Scholar 

  • 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.

    Article  Google Scholar 

  • 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.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Liu-yi Huang  (黄六一).

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

Reprints 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

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s13344-012-0030-4

Key words

Navigation