Journal of Marine Science and Application

, Volume 16, Issue 3, pp 286–297 | Cite as

Wave trapping by dual porous barriers near a wall in the presence of bottom undulation

Article

Abstract

Trapping of oblique surface gravity waves by dual porous barriers near a wall is studied in the presence of step type varying bottom bed that is connected on both sides by water of uniform depths. The porous barriers are assumed to be fixed at a certain distance in front of a vertical rigid wall. Using linear water wave theory and Darcy's law for flow past porous structure, the physical problem is converted into a boundary value problem. Using eigenfunction expansion in the uniform bottom bed region and modified mild-slope equation in the varying bottom bed region, the mathematical problem is handled for solution. Moreover, certain jump conditions are used to account for mass conservation at slope discontinuities in the bottom bed profile. To understand the effect of dual porous barriers in creating tranquility zone and minimum load on the sea wall, reflection coefficient, wave forces acting on the barrier and the wall, and surface wave elevation are computed and analyzed for different values of depth ratio, porous-effect parameter, incident wave angle, gap between the barriers and wall and slope length of undulated bottom. The study reveals that with moderate porosity and suitable gap between barriers and sea wall, using dual barriers an effective wave trapping system can be developed which will exert less wave force on the barriers and the rigid wall. The proposed wave trapping system is likely to be of immense help for protecting various facilities/ infrastructures in coastal environment.

Keywords

porous barriers mild-slope equation reflection coefficient wave trapping porous-effect parameter 

存在底部起伏影响的近壁面处双层多孔栅栏陷波研究

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Notes

Acknowledgments

The authors thank the reviewers for their valuable comments which have improved the presentation of this paper. Manisha expresses her gratitude to CTS, IIT Kharagpur for giving support under visitors program during which the revised manuscript was finalized.

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Copyright information

© Harbin Engineering University and Springer-Verlag GmbH Germany 2017

Authors and Affiliations

  1. 1.Department of Applied MathematicsIndian Institute of Technology (ISM) DhanbadDhanbadIndia
  2. 2.Department of Ocean Engineering and Naval ArchitectureIndian Institute of Technology KharagpurKharagpurIndia

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