|Table of Contents|

 Javad Mohammadbagheri,Fouad Salimi,Maryam Rahbani.Applying Finite Difference Method to Simulate the Performance of a Perforated Breakwater Under Regular Waves[J].Journal of Marine Science and Application,2019,(3):314-324.[doi:10.1007/s11804-019-00095-5]
Click and Copy

Applying Finite Difference Method to Simulate the Performance of a Perforated Breakwater Under Regular Waves


Applying Finite Difference Method to Simulate the Performance of a Perforated Breakwater Under Regular Waves
Javad Mohammadbagheri1 Fouad Salimi2 Maryam Rahbani3
Javad Mohammadbagheri1 Fouad Salimi2 Maryam Rahbani3
1 Department of Civil Engineering, Amirkabir University, Tehran 1134, Iran;
2 Department of Engineering, University of Hormozgan, Bandar Abbas 79131, Iran;
3 Department of Marine Science and Technology, University of Hormozgan, Bandar Abbas 79131, Iran
Perforated breakwaterTransmission coefficientReflection coefficientNumerical modelFinite difference methodRegular waves
Using a discretized finite difference method, a numerical model was developed to study the interaction of regular waves with a perforated breakwater. Considering a non-viscous, non-rotational fluid, the governing equations of Laplacian velocity potential were developed, and specific conditions for every single boundary were defined. The final developed model was evaluated based on an existing experimental result. The evaluated model was used to simulate the condition for various wave periods from 0.6 to 2 s. The reflection coefficient and transmission coefficient of waves were examined with different breakwater porosities, wave steepnesses, and angular frequencies. The results show that the developed model can suitably present the effect of the structural and hydraulic parameters on the reflection and transmission coefficients. It was also found that with the increase in wave steepness, the reflection coefficient increased logarithmically, while the transmission coefficient decreased logarithmically.


Banerjee PK, Wilson B (2005) Developments in boundary element methods:industrial applications (vol. 5). CRC Press, USA, p 311
Chen X, Li Y, Long L (2011) Simulation of irregular wave pressure on perforated breakwaters. Coastal Engineering Proceedings 1(32):29.https://doi.org/10.9753/icce.v32.structures.29
Dalrymple RA, Losada MA, Martin PA (1991) Reflection and transmission from porous structures under oblique wave attack. J Fluid Mech 224:625-644
Dhinakaran G, Sundar V, Sundaravadivelu R, Graw KU (2009) Effect of perforations and rubble mound height on wave transformation characteristics of surface piercing semicircular breakwaters. Ocean Eng 36(15):1182-1198. https://doi.org/10.1016/j.oceaneng.2009.08.005
Elbisy MS (2017) Wave interactions with multiple semi-immersed Jarlantype perforated breakwaters. China Ocean Engineering 31(3):341-349. https://doi.org/10.1007/s13344-017-0040-3
Fugazza M, Natale L (1992) Hydraulic design of perforated breakwaters. Journal of Waterway, Port, Coastal, and Ocean Engineering 118(1):1-14. https://doi.org/10.1061/(ASCE)0733-950X(1992)118:1(1)
Gous W (2014) Configurations of a piled row breakwater for a protected shallow water marina, M.Sc thesis, Stellenbosch:Stellenbosch University, 135. http://hdl.handle.net/10019.1/86710
Hales LZ (1981) Floating Breakwaters:State-of-the-Art Literature Review (No. CERC-TR-81-1). COASTAL ENGINEERING RESEARCH CENTER FORT BELVOIR VA
Hoolihalli MV, Hegde AV (2013) Transmission studies on horizontal interlaced multi-layer moored floating pipe breakwater(HIMMFPB) with three layers of pipes. Indian Journal of GeoMarine Sciences 42(6):722-728 http://nopr.niscair.res.in/handle/123456789/24802
Jarlan GE (1961) A perforated vertical wall breakwater. The Dock and Harbour Authority 486:394-398
Ketabdari MJ, Varjavand I (2008) Reflected energy spectrum from slotted breakwaters due to irregular waves. J Coast Res:1529-1535. https://doi.org/10.2112/06-0753.1
Koraim AS (2011) Hydrodynamic characteristics of slotted breakwaters under regular waves. J Mar Sci Technol 16(3):331-342. https://doi.org/10.1007/s00773-011-0126-1
Lee C, Jung TH (2018) Extended Boussinesq equations for waves in porous media. Coast Eng 139:85-97. https://doi.org/10.1016/j.coastaleng.2018.04.023
Li Y, Dong G, Liu H, Sun D (2003) The reflection of oblique incident waves by breakwaters with double-layered perforated wall. Coast Eng 50(1):47-60. https://doi.org/10.1016/j.coastaleng.2003.08.001
Liu Y, Li YC, Teng B (2007) Wave interaction with a perforated wall breakwater with a submerged horizontal porous plate. Ocean Eng 34(17):2364-2373. https://doi.org/10.1016/j.oceaneng.2007.05.002
Liu Y, Li YC, Teng B (2012a) Interaction between obliquely incident waves and an infinite array of multi-chamber perforated caissons. J Eng Math 74(1):1-18. https://doi.org/10.1007/s10665-011-9484-2
Liu J, Lin G, Li J (2012b) Short-crested waves interaction with a concentric cylindrical structure with double-layered perforated walls. Ocean Eng 40:76-90. https://doi.org/10.1016/j.oceaneng.2011.12.011
Liu Y, Yao ZL, Li HJ (2015) Analytical and experimental studies on hydrodynamic performance of semi-immersed Jarlan-type perforated breakwaters. China Ocean Engineering 29(6):793-806. https://doi.org/10.1007/s13344-015-0056-5
Mohammadbagheri J (2013) Finite difference numerical modeling for simulating the interaction of waves and breakwaters, MSc. Thesis, Amirkabir University of Technology, Iran. (in Persian)
Pérez-Romero DM, Ortega-Sánchez M, Moñino A, Losada MA (2009) Characteristic friction coefficient and scale effects in oscillatory porous flow. Coast Eng 56(9):931-939. https://doi.org/10.1016/j.coastaleng.2009.05.002
Shih RS (2012) Experimental study on the performance characteristics of porous perpendicular pipe breakwaters. Ocean Eng 50:53-62.https://doi.org/10.1016/j.oceaneng.2012.05.010
Suh KD, Kim YW, Ji CH (2011) Calculation of permeability parameter of perforated wall. Coastal Engineering Proceedings 1(32):19. https://doi.org/10.9753/icce.v32.structures.19
Suh KD, Park JK, Park WS (2006) Wave reflection from partially perforated-wall caisson breakwater. Ocean Eng 33(2):264-280.https://doi.org/10.1016/j.oceaneng.2004.11.015
Teh HM, Venugopal V, Bruce T (2011) Hydrodynamic performance of a free surface semicircular perforated breakwater. Coastal Engineering Proceedings 1(32):20. https://doi.org/10.9753/icce.v32.structures.20
Teng B, Zhang XT, Ning DZ (2004) Interaction of oblique waves with infinite number of perforated caissons. Ocean Eng 31(5):615-632.https://doi.org/10.1016/j.oceaneng.2003.08.001
Thomson GG (2000) Wave transmission through multi-layered wave screens. Queen’s University, Kingston, Ontario, Thomas Telford Publishing, Canada, 224
Zhu D (2011) Hydrodynamic characteristics of a single-row pile breakwater. Coast Eng 58(5):446-451. https://doi.org/10.1016/j.coastaleng.2011.01.003


Received date:2017-11-03;Accepted date:2018-11-18。
Corresponding author:Maryam Rahbani,maryamrahbani@yahoo.com
Last Update: 2019-09-18