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 Yamina Bakhti,Nadji Chioukh,Benameur Hamoudi,et al.A Multi-Domain Boundary Element Method to Analyze the Reflection and Transmission of Oblique Waves From Double Porous Thin Walls[J].Journal of Marine Science and Application,2017,(3):276-285.[doi:10.1007/s11804-017-1421-y]
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A Multi-Domain Boundary Element Method to Analyze the Reflection and Transmission of Oblique Waves From Double Porous Thin Walls


A Multi-Domain Boundary Element Method to Analyze the Reflection and Transmission of Oblique Waves From Double Porous Thin Walls
Yamina Bakhti1 Nadji Chioukh12 Benameur Hamoudi1 Mohamed Boukhari1
Yamina Bakhti1 Nadji Chioukh12 Benameur Hamoudi1 Mohamed Boukhari1
1. Department of Maritime Engineering, University of Science and Technology MB, Oran 31000, Algeria;
2. Department of Civil Engineering, University of Djillali Liabes, Sidi Bél-Abbés 22000, Algeria
oblique wavesporous breakwaterperforated thin wallsboundary element methodreflectiontransmissionwave energy dissipation
In the present paper, we examine the performance of an efficient type of wave-absorbing porous marine structure under the attack of regular oblique waves by using a Multi-Domain Boundary Element Method (MDBEM). The structure consists of two perforated vertical thin barriers creating what can be called a wave absorbing chamber system. The barriers are surface piercing, thereby eliminating wave overtopping. The problem of the interaction of obliquely incident linear waves upon a pair of perforated barriers is first formulated in the context of linear diffraction theory. The resulting boundary integral equation, which is matched with far-field solutions presented in terms of analytical series with unknown coefficients, as well as the appropriate boundary conditions at the free surface, seabed, and barriers, is then solved numerically using MDBEM. Dissipation of the wave energy due to the presence of the perforated barriers is represented by a simple yet effective relation in terms of the porosity parameter appropriate for thin perforated walls. The results are presented in terms of reflection and transmission coefficients. The effects of the incident wave angles, relative water depths, porosities, depths of the walls, and other major parameters of interest are explored.


Behera H, Kaligatla RB, Sahoo T, 2015a. Wave trapping by porous barrier in the presence of step type bottom. Wave Motion, 57, 219-230.
DOI: http://dx.doi.org/10.1016/j.wavemoti.2015.04.005
Behera H, Koley S, Sahoo T, 2015b. Wave transmission by partial porous structures in two-layer fluid. Engineering Analysis with Boundary Elements, 58, 58-78.
DOI: http://dx.doi.org/10.1016/j.enganabound.2015.03.010
Bélorgey M, Rousset JM, Carpentier G, 2003. Perforated breakwaters, Dieppe harbour Jarlan caisson: general schedule and acquired experience. Proceedings of 13th International Offshore and Polar Engineering Conference: ISOPE, Honolulu, USA, 850-857.
Das P, Dolai D, Mandal B, 1997. Oblique wave diffraction by parallel thin vertical barriers with gaps. Journal of Waterway, Port, Coastal, and Ocean Engineering: ASCE, 123(4), 163–171.
DOI: http://dx.doi.org/10.1061/(ASCE)0733-950X(1997)123:4(163)
Hagiwara K, 1984. Analysis of upright structure for wave dissipation using integral equation. Proceedings of 19th International Conference on Coastal Engineering: ASCE, Houston, USA, 1984, 2810-2826.
Huang Z, 2007. Wave interaction with one or two rows of closely spaced rectangular cylinders. Ocean Engineering, 34(11-12), 1584-1591.
DOI: http://dx.doi.org/10.1016/j.oceaneng.2006.11.002
Huang Z, Li Y, Liu Y, 2011. Hydraulic performance and wave loadings of perforated/slotted coastal structures: A review.Ocean Engineering, 38(10), 1031-1053.
DOI: http://dx.doi.org/10.1016/j.oceaneng.2011.03.002
Ijima T, Okuzono H, Ushifuza Y, 1978. The reflection coefficients of permeable quaywall with reservoir against obliquely incident waves. Rep. Coll. Eng., Kyushu University, Japan, 51, 245-250(in Japanese).
Isaacson M, Baldwin J, Premasiri S, Yang G, 1999. Wave interactions with double slotted barriers. Applied Ocean Research, 21(2), 81-91.
DOI: http://dx.doi.org/10.1016/S0141-1187(98)00039-X
Kaligatla RB, Koley S, Sahoo T, 2015. Trapping of surface gravity waves by a vertical flexible porous plate near a wall. Zeitschrift für angewandte Mathematik und Physik, 66(5), 2677-2702.
DOI: 10.1007/s00033-015-0521-2
Koley S, Behera H, Sahoo T, 2015. Oblique wave trapping by porous structures near a wall. Journal of Engineering Mechanics, 141(3), 04014122, 1-15.
DOI: 10.1061/(ASCE)EM.1943-7889.0000843
Li Y, Liu Y, Teng B, Sun D, 2002. Reflection of oblique incident waves by breakwaters with partially-perforated wall. China Ocean Engineering, 16(3), 329–342.
DOI: 10.3321/j.issn:0890-5487.2002.03.006
Li Y, Liu Y, Teng B, 2006. Porous effect parameter of thin permeable plates. Coastal Engineering Journal, 48(4), 309-336.
DOI: http://dx.doi.org/10.1142/S0578563406001441
Liu H, Liu Y, Li Y, 2009. The theoretical study on diagonal wave interaction with perforated-wall breakwater with rock fill. Acta Oceanologica Sinica, 28(6), 103-110.
DOI: 10.3969/j.issn.0253-505X.2009.06.011
Liu Y, Li Y, 2010. The interaction of oblique waves with a partially immersed wave absorbing breakwater. Proceedings of 32nd International Conference on Coastal Engineering: ASCE, Shanghai, China, 2010, 32(1).
Liu Y, Li Y, 2011. Wave interaction with a wave absorbing double curtain-wall breakwater. Ocean Engineering, 38(10), 1237-1245.
DOI: http://dx.doi.org/10.1016/j.oceaneng.2011.05.009
Liu Y, Li Y, Teng B, 2007. The reflection of oblique waves by an infinite number of partially perforated caissons. Ocean Engineering, 34(14-15), 1965-1976.
DOI: http://dx.doi.org/10.1016/j.oceaneng.2007.03.004
Liu Y, Li Y, Teng B, 2012. Interaction between obliquely incident waves and an infinite array of multi-chamber perforated caissons. Journal of Engineering Mathematics, 74(1), 1-18.
DOI: 10.1007/s10665-011-9484-2
Liu Y, Xie L, Zhang W, 2014. The wave motion over a submerged Jarlan-type perforated breakwater. Acta Oceanologica Sinica, 33(5), 96-102.
DOI: 10.1007/s13131-014-0471-0
Mandal S, Behera H, Sahoo T, 2016. Oblique wave interaction with porous, flexible barriers in a two-layer fluid. Journal of Engineering Mathematics, 100(1), 1-31.
DOI: 10.1007/s10665-015-9830-x Porter R, 1995. Complementary methods and bounds in linear water waves. PhD thesis, University of Bristol, UK.
Porter R, Evans D, 1995. Complementary approximations to wave scattering by vertical barriers. Fluid Mechanics, 294, 155-180.
DOI: https://doi.org/10.1017/S0022112095002849
Suh K, Park W, 1995. Wave reflection from perforated-wall caisson breakwaters. Coastal Engineering, 26(3-4), 177-193.
DOI: 10.1016/0378-3839(95)00027-5
Teng B, Zhang X, Ning D, 2004. Interaction of oblique waves with infinite number of perforated caissons. Ocean Engineering, 31(5-6), 615-632.
DOI: http://dx.doi.org/10.1016/j.oceaneng.2003.08.001
Yu X, 1995. Diffraction of water waves by porous breakwaters.Journal of Waterway, Port, Coastal, and Ocean Engineering:ASCE, 121(6), 275-282.
DOI: http://dx.doi.org/10.1061/(ASCE)0733-950X(1995)121:6(275)
Yueh C-Y, Chuang S-H, 2012. A boundary element model for a partially piston-type porous wave energy converter in gravity waves. Engineering Analysis with Boundary Elements, 36(5), 658-664.
DOI: http://dx.doi.org/10.1016/j.enganabound.2011.11.011


Received date: 2016-11-25;Accepted date:2017-04-11。
Corresponding author:Benameur Hamoudi,hamoudi_benameur@yahoo.fr
Last Update: 2017-08-31