Skip to main content
SpringerLink
Log in

Short-crested waves interaction with a concentric porous cylinder system with partially porous outer cylinder

  • Published:
China Ocean Engineering Aims and scope Submit manuscript

Abstract

In this paper, based on the linear wave theory, the interaction of short-crested waves with a concentric dual cylindrical system with a partially porous outer cylinder is studied by using the scaled boundary finite element method (SBFEM), which is a novel semi-analytical method with the advantages of combining the finite element method (FEM) with the boundary element method (BEM). The whole solution domain is divided into one unbounded sub-domain and one bounded sub-domain by the exterior cylinder. By weakening the governing differential equation in the circumferential direction, the SBFEM equations for both domains can be solved analytically in the radial direction. Only the boundary on the circumference of the exterior porous cylinder is discretized with curved surface finite elements. Meanwhile, by introducing a variable porous-effect parameter G, non-homogeneous materials caused by the complex configuration of the exterior cylinder are modeled without additional efforts. Comparisons clearly demonstrate the excellent accuracy and computational efficiency associated with the present SBFEM. The effects of the wide range wave parameters and the structure configuration are examined. This parametric study will help determine the various hydrodynamic effects of the concentric porous cylindrical structure.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Chwang, A. T. and Chan, A. T., 1998. Interaction between porous media and wave motion, Annual Review of Fluid Mechanics, 30(1): 53–84.

    Article  MathSciNet  Google Scholar 

  • Darwiche, M. K. M., Williams, A. N. and Wang, K. H., 1994. Wave interaction with semi-porous cylindrical breakwater, J. Waterw. Port Coast. Ocean Eng., 120(4): 382–403.

    Article  Google Scholar 

  • Huang, Z. H., Li, Y. C. and Liu Y., 2011. Hydraulic performance and wave loadings of perforated/slotted coastal structures: A review, Ocean Eng., 38(10): 1031–1053.

    Article  Google Scholar 

  • Jarlan, G. E., 1961. A perforated vertical wall breakwater, The Dock and Harbor Authority, XII(486): 394–398.

    Google Scholar 

  • Li, Y. C., Sun, L. and Teng, B., 2003. Wave action on double-cylinder structure with perforated outer wall, Proceedings of the 22nd International Conference on Offshore Mechanics and Arctic Engineering, OMAE, Mexico, 149–155.

    Google Scholar 

  • Li, Y. C., Sun, L. and Teng, B., 2005. Wave interaction with arrays of combined cylinders with and solid interior column and a porous exterior column, ACTA Mechanica Sinica, 37(2):141–147.

    Google Scholar 

  • Lin, G., Liu, J., Li, J. and Fang, H., 2011. Scaled boundary finite element approach for waveguide eigenvalue problem, Microwaves, Antennas and Propagation, IET, 12(5): 1508–1515.

    Article  Google Scholar 

  • Liu, J., Lin, G., Wang, F. M. and Li, J. B., 2010. The scaled boundary finite element method applied to electromagnetic field problems, IOP Conference Series: Materials Science and Engineering, 10(1): 2245, doi: 10.1088/1757-899X/10/1/012226.

    Google Scholar 

  • Sankarbabu, K., Sannasiraj, S. A. and Sundar, V., 2007. Interaction of regular waves with a group of dual porous circular cylinders, Appl. Ocean Res., 29(4): 180–190.

    Article  Google Scholar 

  • Sankarbabu, K., Sannasiraj, S. A. and Sundar, V., 2008. Hydrodynamic performance of a dual cylindrical caisson breakwater, Coast. Eng., 55(6): 431–446.

    Article  Google Scholar 

  • Silvester, R. and Hsu, J. R. C., 1989. Sines revisited, J. Waterw. Port Coast. Ocean Eng., 115(3): 327–344.

    Article  Google Scholar 

  • Song, C. M. and Wolf, J. P., 1997. The scaled boundary finite-element method—alias consistent infinitesimal finite-element cell method—for elastodynamics, Computer Methods in Applied Mechanics and Engineering, 147(3–4): 329–355.

    Article  MathSciNet  MATH  Google Scholar 

  • Song, H. and Tao, L. B., 2007. Short-crested wave interaction with a concentric porous cylindrical structure, Applied Ocean Research, 29(4): 199–209.

    Article  Google Scholar 

  • Song, H. and Tao, L. B., 2010. An efficient scaled boundary FEM model for wave interaction with a nonuniform porous cylinder, International Journal for Numerical Methods in Fluids, 63(1): 96–118.

    MATH  Google Scholar 

  • Tao, L. B., Song, H. and Chakrabarti, S., 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 

  • Teng, B., Han, L. and Li, Y. C., 2000. Wave Diffraction from a vertical cylinder with two uniform columns and porous outer wall, China Ocean Eng., 14(3): 297–306.

    Google Scholar 

  • Teng, B., Li, Y. C. and Sun, L., 2001. Wave interaction with a partial porous double-wall cylinder, Engineering Science, 3(10): 41–47. (in Chinese)

    Google Scholar 

  • Tsai, C. P., Jeng, D. S. and Hsu, J. R. C., 1994. Computations of the almost highest short-crested waves in deep water, Applied Ocean Research, 16(6): 317–326.

    Article  Google Scholar 

  • Vijayalakshmi, K., Neelamani, S., Sundaravadivelu, R. and Murali, K., 2007. Wave runup on a concentric twin perforated circular cylinder, Ocean Eng., 34(2): 327–336.

    Article  Google Scholar 

  • Vijayalakshmi, K., Sundaravadivelu, R., Murali, K. and Neelamani, S., 2008. Hydrodynamics of a concentric twin perforated circular cylinder system, J. Waterw. Port Coast. Ocean Eng., 134(3): 166–177.

    Article  Google Scholar 

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

    Article  Google Scholar 

  • Williamsa, A. N. and Li, W., 1998. Wave interaction with a semi-porous cylindrical breakwater mounted on a storage tank, Ocean Eng., 25(2–3): 195–219.

    Article  Google Scholar 

  • Wolf, J. P., 2003. The Scaled Boundary Finite Element Method, Chichester, England, Wiley Press.

    Google Scholar 

  • Zhong, Z. and Wang, K. H., 2006. Solitary wave interaction with a concentric porous cylinder system, Ocean Eng., 33(7): 927–949.

    Article  Google Scholar 

  • Zhu, D. T., 2011. Wave run-up on a coaxial perforated circular cylinder, China Ocean Eng., 25(2): 201–214.

    Article  Google Scholar 

  • Zhu, S. P., 1993. Diffraction of short-crested waves around a circular cylinder, Ocean Eng., 20(4): 389–407.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Hydraulic Engineering, Faculty of Infrastructure Engineering, Dalian University of Technology, Dalian, 116024, China

    Jun Liu  (刘 俊), Gao Lin  (林 皋) & Jian-bo Li  (李建波)

  2. State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian, 116024, China

    Jun Liu  (刘 俊), Gao Lin  (林 皋) & Jian-bo Li  (李建波)

Authors
  1. Jun Liu  (刘 俊)
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Gao Lin  (林 皋)
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Jian-bo Li  (李建波)
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Jun Liu  (刘 俊).

Additional information

This project was supported by the State Key Program of the National Natural Science Foundation of China (Grant No. 51138001), China-Germany joint research project (Grant No. GZ566), and Open Research Fund Program of State Key Laboratory of Hydroscience and Engineering (Grant No. shlhse-2010-C-03).

Rights and permissions

Reprints and permissions

About this article

Cite this article

Liu, J., Lin, G. & Li, Jb. Short-crested waves interaction with a concentric porous cylinder system with partially porous outer cylinder. China Ocean Eng 26, 217–234 (2012). https://doi.org/10.1007/s13344-012-0017-1

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s13344-012-0017-1

Key words

Search

Navigation