Skip to main content
SpringerLink
Log in

Oblique wave trapping by vertical permeable membrane barriers located near a wall

  • Published:
Journal of Marine Science and Application Aims and scope Submit manuscript

Abstract

The effectiveness of a vertical partial flexible porous membrane wave barrier located near a rigid vertical impermeable seawall for trapping obliquely incident surface gravity waves are analyzed in water of uniform depth under the assumption of linear water wave theory and small amplitude membrane barrier response. From the general formulation of the submerged membrane barrier, results for bottom-standing and surface-piercing barriers are computed and analyzed in special cases. Using the eigenfunction expansion method, the boundary-value problems are converted into series relations and then the required unknowns are obtained using the least squares approximation method. Various physical quantities of interests like reflection coefficient, wave energy dissipation, wave forces acting on the membrane barrier and the seawall are computed and analyzed for different values of the wave and structural parameters. The study will be useful in the design of the membrane wave barrier for the creation of tranquility zone in the lee side of the barrier to protect the seawall.

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

  • Behera H, Kaligatla R, Sahoo T, 2015a. Wave trapping by porous barrier in the presence of step type bottom. Wave Motion, 57, 219–230. DOI: 10.1016/j.wavemoti.2015.04.005

    Article  MathSciNet  Google Scholar 

  • 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: 10.1016/j.enganabound.2015.03.010

    Article  MathSciNet  Google Scholar 

  • Behera H, Mandal S, Sahoo T, 2013. Oblique wave trapping by porous and flexible structures in a two-layer fluid. Physics of Fluids, 25(11), 23–42. DOI: 10.1063/1.4832375

    Article  Google Scholar 

  • Cho I, Kee S, Kim M, 1997. The performance of flexiblemembrane wave barriers in oblique incident waves. Applied Ocean Research, 19(3), 171–182. DOI: 10.1016/S0141-1187(97)00017-5

    Article  Google Scholar 

  • Cho I, Kim M, 2000. Interactions of horizontal porous flexible membrane with waves. Journal of Waterway, Port, Coastal, and Ocean Engineering, 126(5), 245–253. DOI: 10.1061/(ASCE)0733-950X(2000)126:5(245)

    Article  Google Scholar 

  • Chwang AT, 1983. A porous-wavemaker theory. Journal of Fluid Mechanics, 132, 395–406. DOI: 10.1017/S0022112083001676

    Article  MATH  Google Scholar 

  • Chwang A, Dong Z, 1984. Wave-trapping due to a porous plate. Proceedings of the 15th ONR Symposium on Naval Hydrodynamics, Washington, 407–414.

    Google Scholar 

  • Chwang AT, Li W, 1983. A piston-type porous wavemaker theory. Journal of Engineering Mathematics, 17(4), 301–313. DOI: 10.1007/BF00040174

    Article  MATH  Google Scholar 

  • Dalrymple RA, Kirby JT, Seli, DJ, 1986. Wave trapping by breakwaters. Proceedings of the 20th Int. Conference on Coastal Engineering, Taipei, China, 1, 1820–1830.

    Google Scholar 

  • Hales LZ, 1981. Floating breakwaters: State of the art, literature review. Tech. report, USACE.

    Google Scholar 

  • Kaligatla R, Koley S, Sahoo T, 2015. Trapping of surface gravity waves by a vertical flexible porous plate near a wall. Zeitschrift fur angewandte Mathematik und Physik, 66(5), 2677–2702. DOI: 10.1007/s00033-015-0521-2

    Article  MathSciNet  MATH  Google Scholar 

  • Karmakar D, Bhattacharjee J, Soares CG, 2013. Scattering of gravity waves by multiple surface-piercing floating membrane. Applied Ocean Research, 39, 40–52. DOI: 10.1016/j.apor.2012.10.001

    Article  Google Scholar 

  • Kim M, Kee S, 1996. Flexible-membrane wave barrier. I: Analytic and numerical solutions. Journal of Waterway, Port, Coastal, and Ocean Engineering, 122(1), 46–53. DOI: 10.1061/(ASCE)0733-950X(1996)122:1(46)

    Article  Google Scholar 

  • Koley S, Behera H, Sahoo T, 2014. Oblique wave trapping by porous structures near a wall. Journal of Engineering Mechanics, 141(3), 04014122. DOI: 10.1061/(ASCE)EM.1943-7889.0000843

    Article  Google Scholar 

  • Koley S, Kaligatla R, Sahoo T, 2015a. Oblique wave scattering by a vertical flexible porous plate. Studies in Applied Mathematics, 135(1), 1–34. DOI: 10.1111/sapm.12076

    Article  MathSciNet  MATH  Google Scholar 

  • Koley S, Sahoo T, 2016. Oblique wave scattering by horizontal floating flexible porous membrane. Meccanica, 52, 125–138. DOI: 10.1007/s11012-016-0407-1

    Article  MathSciNet  Google Scholar 

  • Koley S, Sahoo T, 2017a. Scattering of oblique waves by permeable vertical flexible membrane wave barriers. Applied Ocean Research, 62, 156–168. DOI: 10.1016/j.apor.2016.12.005

    Article  Google Scholar 

  • Koley S, Sahoo T, 2017b. Wave interaction with a submerged semicircular porous breakwater placed on a porous seabed. Engineering Analysis with Boundary Elements, 80, 18–37. DOI: 10.1016/j.enganabound.2017.02.019

    Article  MathSciNet  Google Scholar 

  • Koley S, Sarkar A, Sahoo T, 2015b. Interaction of gravity waves with bottom-standing submerged structures having perforated outer-layer placed on a sloping bed. Applied Ocean Research, 52, 245–260. DOI: 10.1016/j.apor.2015.06.003

    Article  Google Scholar 

  • Kumar PS, Manam S, Sahoo T, 2007. Wave scattering by flexible porous vertical membrane barrier in a two-layer fluid. Journal of Fluids and Structures, 23(4), 633–647. DOI: 10.1016/j.jfluidstructs.2006.10.011

    Article  Google Scholar 

  • Lamb H, 1945. Hydrodynamics. Dover Publications Inc., New York, 447.

    Google Scholar 

  • Leblond P, Mysak L, 1978. Waves in the ocean. Elsevier Publications, Amsterdam, 227.

    Google Scholar 

  • Lee WK, Lo EY, 2002. Surface-penetrating flexible membrane wave barriers of finite draft. Ocean Engineering 29(14), 1781–1804. DOI: 10.1016/S0029-8018(02)00007-0

    Article  Google Scholar 

  • Liu Y, Li HJ, 2012. Analysis of wave interaction with submerged perforated semi-circular breakwaters through multipole method. Applied Ocean Research, 34, 164–172. DOI: 10.1016/j.apor.2011.08.003

    Article  Google Scholar 

  • Meylan MH, Fitzgerald CJ, 2014. The singularity expansion method and near-trapping of linear water waves. Journal of Fluid Mechanics, 755, 230–250. DOI: 10.1017/jfm.2014.411

    Article  MathSciNet  MATH  Google Scholar 

  • Nazarov SA, Videman JH, 2011. Trapping of water waves by freely floating structures in a channel. Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, 467, 3613–3632. DOI: 10.1098/rspa.2011.0288

    Article  MathSciNet  MATH  Google Scholar 

  • Peregrine D, 2003. Water-wave impact on walls. Annual Review of Fluid Mechanics, 35(1), 23–43. DOI: 10.1146/annurev.fluid.35.101101.161153

    Article  MathSciNet  MATH  Google Scholar 

  • Sahoo T, Lee M, Chwang A, 2000. Trapping and generation of waves by vertical porous structures. Journal of Engineering Mechanics, 126(10), 1074–1082. DOI: 10.1061/(ASCE)0733-9399(2000)

    Article  Google Scholar 

  • Wang KH, Ren X, 1994. An effective wave-trapping system. Ocean Engineering, 21(2), 155–178. DOI: 10.1016/0029-8018(94)90036-1

    Article  Google Scholar 

  • Williams A, Wang K, 2003. Flexible porous wave barrier for enhanced wetlands habitat restoration. Journal of Engineering Mechanics, 129(1), 1–8. DOI: 10.1061/(ASCE)0733-9399(2003)129:1(1)

    Article  Google Scholar 

  • Yip T, Sahoo T, Chwang AT, 2002. Trapping of surface waves by porous and flexible structures. Wave Motion, 35(1), 41–54. DOI: 10.1016/S0165-2125(01)00074-9

    Article  MATH  Google Scholar 

  • Yu X, 1995. Diffraction of water waves by porous breakwaters. Journal of Waterway, Port, Coastal, and Ocean Engineering, 121(6), 275–282. DOI: 10.1061/(ASCE)0733-950X(1995)121:6(275)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dhirubhai Ambani Institute of Information and Communication Technology, Gandhinagar, 382007, India

    Santanu Koley

  2. Department of Ocean Engineering and Naval Architecture, Indian Institute of Technology, Kharagpur, 721302, India

    Trilochan Sahoo

Authors
  1. Santanu Koley
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Trilochan Sahoo
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Trilochan Sahoo.

Additional information

Foundation item: Supported by SERB-DST Grant (No. PDF/2016/001324)

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Koley, S., Sahoo, T. Oblique wave trapping by vertical permeable membrane barriers located near a wall. J. Marine. Sci. Appl. 16, 490–501 (2017). https://doi.org/10.1007/s11804-017-1432-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11804-017-1432-8

Keywords

Search

Navigation