Abstract
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.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
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.
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.
Mei C C. The applied dynamics of ocean surface waves[M]. Advanced Series on Ocean Engineering, Volume 1. Singapore: World Scientific, 1989.
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.
Fugazza M, Natale L. Hydraulic design of perforated breakwaters[J]. Journal of Waterway, Port, Coastal and Ocean Engineering, 1992, 118(1):1–15.
Madsen O S. Wave transmission through porous structures[J]. Journal of Waterway, Harbors and Coastal Engineering Division, 1974, 100(3):169–188.
Yu X. Diffraction of water waves by porous breakwaters[J]. Journal of Waterway, Port, Coastal and Ocean Engineering, 1995, 121(6):275–282.
Isaacson M, Baldwin J, Premasiri S, Yang G. Wave interactions with double slotted barriers[J]. Applied Ocean Research, 1999, 21:81–91.
Lee M M, Chwang A T. Scattering and radiation of water waves by permeable barriers[J]. Physics of Fluids, 2000, 12(1):54–65.
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.
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.
Zhu S, Chwang A T. Investigation on the reflection behaviour of a slotted seawall[J]. Coastal Engineering, 2001, 43:93–104.
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.
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.
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.
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.
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.
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.
Author information
Authors and Affiliations
Corresponding author
Additional information
Communicated by ZHOU Zhe-wei
Rights and permissions
About this article
Cite this article
Huang, Zh. Reflection and transmission of regular waves at a surface-pitching slotted barrier. Appl Math Mech 28, 1153–1162 (2007). https://doi.org/10.1007/s10483-007-0903-z
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/s10483-007-0903-z