Applied Mathematics and Mechanics

, Volume 28, Issue 9, pp 1153–1162 | Cite as

Reflection and transmission of regular waves at a surface-pitching slotted barrier

  • Huang Zhen-hua  (黄振华)Email author


The interactions between regular surface waves and a surface-pitching slotted barrier are investigated both analytically and experimentally. A quasi-linear theory is developed using the eigenfunction expansion method. The energy dissipation within the barriers is modeled by a quadratic friction factor, and an equivalent linear dissipation coefficient, which is depth-varying, wave-height dependent, is introduced to linearize the matching condition at the surface-pitching barrier. By comparing the theoretical results with laboratory experiments, it is shown that the present method can satisfactorily predict the variation of the reflection and transmission coefficients with wave height.

Key words

surface waves wave reflection coastal structures breakwaters slotted barriers 

Chinese Library Classification

O353.2 P753 

2000 Mathematics Subject Classification



Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    Isaacson M, Premasirl S, Yang G. Wave interaction with vertical slotted barrier[J]. Journal of Waterway, Port, Coastal and Ocean Engineering, 1998, 124(3):118–126.CrossRefGoogle Scholar
  2. [2]
    Mei C C, Liu P L-F, Ippen A T. Quadratic head loss and scattering of long waves[J]. Journal of Waterway, Harbour and Coastal Engineering Division, 1974, 99:209–229.Google Scholar
  3. [3]
    Mei C C. The applied dynamics of ocean surface waves[M]. Advanced Series on Ocean Engineering, Volume 1. Singapore: World Scientific, 1989.Google Scholar
  4. [4]
    Liu P L-F, Abbaspour M. Wave scattering by a rigid thin barrier[J]. Journal of Waterway, Port, Coastal and Ocean Engineering, 1982, 108(4):479–491.Google Scholar
  5. [5]
    Fugazza M, Natale L. Hydraulic design of perforated breakwaters[J]. Journal of Waterway, Port, Coastal and Ocean Engineering, 1992, 118(1):1–15.Google Scholar
  6. [6]
    Madsen O S. Wave transmission through porous structures[J]. Journal of Waterway, Harbors and Coastal Engineering Division, 1974, 100(3):169–188.Google Scholar
  7. [7]
    Yu X. Diffraction of water waves by porous breakwaters[J]. Journal of Waterway, Port, Coastal and Ocean Engineering, 1995, 121(6):275–282.CrossRefGoogle Scholar
  8. [8]
    Isaacson M, Baldwin J, Premasiri S, Yang G. Wave interactions with double slotted barriers[J]. Applied Ocean Research, 1999, 21:81–91.CrossRefGoogle Scholar
  9. [9]
    Lee M M, Chwang A T. Scattering and radiation of water waves by permeable barriers[J]. Physics of Fluids, 2000, 12(1):54–65.CrossRefGoogle Scholar
  10. [10]
    Sahoo T, Chan A T, Chwang A T. Scattering of oblique surface waves by permeable barriers[J]. Journal of Waterway, Port, Coastal and Ocean Engineering, 2001, 126(4):196–205.CrossRefGoogle Scholar
  11. [11]
    Hayashi T, Kano T, Shirai M. Hydraulic research on closely-spaced pile breakwaters[C]. In: Proceedings of 10th Coastal Engineering Conference, Vol. II, Tokyo, Japan, 1966, 873–884.Google Scholar
  12. [12]
    Zhu S, Chwang A T. Investigation on the reflection behaviour of a slotted seawall[J]. Coastal Engineering, 2001, 43:93–104.CrossRefGoogle Scholar
  13. [13]
    Huang Z. An experimental study of wave scattering by a vertical slotted barrier in the presence of a current[J]. Ocean Engineering, 2006, 34(5/6):717–723.Google Scholar
  14. [14]
    Huang Z, Ghidaoui M S. A model for the scattering of long waves by slotted breakwaters in the presence of currents[J]. Acta Mechanica Sinica, 2007, 23:1–9.CrossRefGoogle Scholar
  15. [15]
    Dingemans M W. Water wave propagation over uneven bottoms: part 1—linear wave propagation[M]. In: Advanced Series on Ocean Engineering, Volume 13. Singapore: World Scientific, 1997.Google Scholar
  16. [16]
    Huang Z. A method to study interactions between narrow-banded random waves and multi-chamber perforated structures[J]. Acta Mechanica Sinica, 2006, 22:285–192.CrossRefGoogle Scholar
  17. [17]
    Sollitt C K, Cross R H. Wave transmission through permeable breakwaters[C]. In: Proceedings of the 13th Conference On Coastal Engineering, ASCE, Vancouver, Canada, 1972, 1827–1846.Google Scholar
  18. [18]
    Goda Y, Suzuki Y. Estimation of incident and reflected waves in random wave experiments[C]. In: Proceedings of 15th Conference on Coastal Engineering, ASCE, Reston, VA, USA, 1976, 828–845.Google Scholar

Copyright information

© Editorial Committee of Appl. Math. Mech. 2007

Authors and Affiliations

  1. 1.School of Civil and Environmental EngineeringNanyang Technological UniversitySingaporeSingapore

Personalised recommendations