Oblique Wave Trapping by Porous Structures Near a Wall
Publication: Journal of Engineering Mechanics
Volume 141, Issue 3
Abstract
The current study deals with the oblique wave trapping by bottom-standing and surface-piercing porous structures of finite width placed at a finite distance from a vertical rigid wall. Using the Sollitt and Cross model for wave motion within the porous structure, the problems are analyzed based on the small-amplitude water wave theory in water of finite depth. The solutions of the associated boundary value problems are obtained analytically using the eigenfunction expansion method and numerically using a multidomain boundary-element method. In the boundary-element method, the boundary value problems are converted into integral equations over the physical boundaries. The physical boundaries are discretized into a finite number of elements to obtain a system of linear algebraic equations. Various aspects of structural configurations, in trapping surface gravity waves, are analyzed from the computed results on the reflection coefficients and the hydrodynamic forces. Suitable arrangements of the rigid wall and partial porous structure of specific configurations can provide long-term and cost-effective solutions for protecting various marine facilities from wave attack.
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Acknowledgments
S. Koley acknowledges support received as a junior research fellow from the Council of Scientific and Industrial Research, New Delhi. H. Behera gratefully acknowledges the financial support received from the Ministry of Earth Sciences, Government of India, to pursue this research work.
References
Au, M. C., and Brebbia, C. A. (1982). “Numerical prediction of wave forces using the boundary element method.” Appl. Math. Modell., 6(4), 218–228.
Behera, H., Mandal, S., and Sahoo, T. (2013). “Oblique wave trapping by porous and flexible structures in a two-layer fluid.” Phys. Fluids, 25(11), 112110.
Behera, H., and Sahoo, T. (2013). “Gravity wave interaction with porous structures in two-layer fluid.” J. Eng. Math., 87(1), 73–97.
Cho, I. H., and Kim, M. H. (2008). “Wave absorbing system using inclined perforated plates.” J. Fluid Mech., 608, 1–20.
Chwang, A. T. (1983). “A porous-wavemaker theory.” J. Fluid Mech., 132, 395–406.
Chwang, A. T., and Chan, A. T. (1998). “Interaction between porous media and wave motion.” Annu. Rev. Fluid Mech., 30, 53–84.
Chwang, A. T., and Dong, Z. (1984). “Wave-trapping due to porous plate.” Proc., 15th Symp. on Naval Hydrodynamics, National Academy Press, Washington, DC, 407–417.
Dalrymple, R. A., Losada, M. A., and Martin, P. A. (1991). “Reflection and transmission from porous structures under oblique wave attack.” J. Fluid Mech., 224, 625–644.
Gu, G. Z., and Wang, H. (1992). “Numerical modeling for wave energy dissipation within porous submerged breakwaters of irregular cross section.” Proc., 23rd Int. Conf. on Coastal Engineering, ASCE, New York, 1189–1202.
Huang, Z., Li, Y., and Liu, Y. (2011). “Hydraulic performance and wave loadings of perforated/slotted coastal structures: A review.” Ocean Eng., 38(10), 1031–1053.
Kim, M. H., and Kee, S. T. (1996). “Flexible-membrane wave barrier. I: Analytic and numerical solutions.” J. Waterway, Port, Coastal, Ocean Eng., 46–53.
Lee, J.-F. (1995). “A boundary element model for waves interaction with porous structures.” Trans. Modell. Simul., 9, 145–152.
Liu, J., and Lin, G. (2013). “Numerical modelling of wave interaction with a concentric cylindrical system with an arc-shaped porous outer cylinder.” Eur. J. Mech. B. Fluids, 37(Jan.–Feb.), 59–71.
Liu, P. L.-F., and Abbaspour, M. (1982). “Wave scattering by a rigid thin barrier.” J. Wtrwy., Port, Coast., and Oc. Div., 108(4), 479–491.
Losada, I. J., Silva, R., and Losada, M. A. (1996). “3-D non-breaking regular wave interaction with submerged breakwaters.” Coastal Eng., 28(1–4), 229–248.
Manam, S. R., and Sahoo, T. (2005). “Wave past porous structures in two-layer fluids.” J. Eng. Math., 52(4), 355–377.
MATLAB 2012b [Computer software]. Natick, MA, MathWorks.
Sahoo, T., Lee, M. M., and Chwang, A. T. (2000). “Trapping and generation of waves by vertical porous structures.” J. Eng. Mech., 1074–1082.
Sollitt, C. K., and Cross, R. H. (1972). “Wave transmission through permeable breakwaters.” Proc., 13th Int. Conf. on Coastal Engineering, ASCE, New York, 1827–1846.
Sulisz, W. (1985). “Wave reflection and transmission at permeable breakwaters of arbitrary cross-section.” Coastal Eng., 9(4), 371–386.
Ting, F. C. K., and Kim, Y.-K. (1994). “Vortex generation in water waves propagating over a submerged obstacle.” Coastal Eng., 24(1–2), 23–49.
Wang, C. D., and Meylan, M. H. (2002). “The linear wave response of a floating thin plate on water of variable depth.” Appl. Ocean Res., 24(3), 163–174.
Wang, K.-H., and Ren, X. (1994). “An effective wave-trapping system.” Ocean Eng., 21(2), 155–178.
Yip, T. L., Sahoo, T., and Chwang, A. T. (2002). “Trapping of surface waves by porous and flexible structures.” Wave Motion, 35(1), 41–54.
Yu, X. (1995). “Diffraction of water waves by porous breakwaters.” J. Waterway, Port, Coastal, Ocean Eng., 275–282.
Zheng, Y.-H., Shen, Y.-M., and Ng, C.-O. (2008). “Effective boundary element method for the interaction of oblique waves with long prismatic structures in water of finite depth.” Ocean Eng., 35(5–6), 494–502.
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© 2014 American Society of Civil Engineers.
History
Received: Sep 14, 2013
Accepted: Jul 3, 2014
Published online: Jul 31, 2014
Published in print: Mar 1, 2015
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