Abstract
Wave interaction with multiple bottom-standing rectangular porous structures of different structural parameters is numerically modeled using the multidomain boundary element method and the matched eigenfunction expansion method, while assuming linear water wave theory. The sensitivity of wave reflection and transmission to the wave and structural parameters is analyzed with the objective to maximize wave energy attenuation. Different configurations of multiple structures are tested for maximizing the efficiency of dissipation. Furthermore, wave trapping by multiple porous structures near a sloping rigid wall is studied. Bragg resonance is observed in the case of wave scattering by multiple structures irrespective of wave and structural parameters and is found as proportional to the number of structures deployed. In addition, the study reveals that in the presence of multiple structures, due to more wave energy dissipation, wave transmission in the lee side of the structures is reduced significantly when compared with that observed for a single structure.
References
1.
Sollitt
, C. K.
, and Cross
, R. H.
, 1972
, “Wave Transmission Through Permeable Breakwaters
,” 13th International Conference on Coastal Engineering
, Vancouver, Canada
, July 10–14
, pp. 1827
–1846
.2.
Sulisz
, W.
, 1985
, “Wave Reflection and Transmission At Permeable Breakwaters of Arbitrary Cross-section
,” Coast. Eng.
, 9
(4
), pp. 371
–386
. 10.1016/0378-3839(85)90018-33.
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
, pp. 625
–644
. 10.1017/S00221120910019084.
Zheng
, Y.
, Shen
, Y.
, 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
), pp. 494
–502
. 10.1016/j.oceaneng.2007.12.0035.
Lee
, J.
, 1995
, “A Boundary Element Model for Waves Interaction With Porous Structures
,” Trans. Model. Simul.
, 9
, pp. 145
–152
.6.
Liu
, P. L.-F.
, Lin
, P.
, Chang
, K.-A.
, and Sakakiyama
, T.
, 1999
, “Numerical Modeling of Wave Interaction With Porous Structures
,” J. Waterw. Port Coast. Ocean Eng.
, 125
(6
), pp. 322
–330
. 10.1061/(ASCE)0733-950X(1999)125:6(322)7.
Losada
, I. J.
, Losada
, M. A.
, and Baquerizo
, A.
, 1993
, “An Analytical Method to Evaluate the Efficiency of Porous Screens As Wave Dampers
,” Appl. Ocean Res.
, 15
(4
), pp. 207
–215
. 10.1016/0141-1187(93)90009-M8.
Losada
, I.
, Silva
, R.
, and Losada
, M.
, 1996
, “3-d Non-breaking Regular Wave Interaction With Submerged Breakwaters
,” Coast. Eng.
, 28
(1
), pp. 229
–248
. 10.1016/0378-3839(96)00019-19.
Chakrabarti
, S. K.
, 1999
, “Wave Interaction With an Upright Breakwater Structure
,” Ocean Eng.
, 26
(10
), pp. 1003
–1021
. 10.1016/S0029-8018(98)00028-610.
Young
, D. M.
, and Testik
, F. Y.
, 2011
, “Wave Reflection by Submerged Vertical and Semicircular Breakwaters
,” Ocean Eng.
, 38
(10
), pp. 1269
–1276
. 10.1016/j.oceaneng.2011.05.00311.
Söylemez
, M.
, and Gören
, Ö.
, 2003
, “Diffraction of Oblique Waves by Thick Rectangular Barriers
,” Appl. Ocean Res.
, 25
(6
), pp. 345
–353
. 10.1016/j.apor.2004.04.00112.
Chen
, H.-B.
, Tsai
, C.-P.
, and Chiu
, J.-R.
, 2006
, “Wave Reflection From Vertical Breakwater With Porous Structure
,” Ocean Eng.
, 33
(13
), pp. 1705
–1717
. 10.1016/j.oceaneng.2005.10.01413.
Koley
, S.
, Behera
, H.
, and Sahoo
, T.
, 2014
, “Oblique Wave Trapping by Porous Structures Near a Wall
,” J. Eng. Mech.
, 141
(3
), p. 04014122
. 10.1061/(ASCE)EM.1943-7889.000084314.
Koley
, S.
, Sarkar
, A.
, and Sahoo
, T.
, 2015
, “Interaction of Gravity Waves With Bottom-Standing Submerged Structures Having Perforated Outer-Layer Placed on a Sloping Bed
,” Appl. Ocean Res.
, 52
, pp. 245
–260
. 10.1016/j.apor.2015.06.00315.
Behera
, H.
, Koley
, S.
, and Sahoo
, T.
, 2015
, “Wave Transmission by Partial Porous Structures in Two-Layer Fluid
,” Eng. Anal. Bound. Elem.
, 58
, pp. 58
–78
. 10.1016/j.enganabound.2015.03.01016.
Behera
, H.
, and Sahoo
, T.
, 2014
, “Gravity Wave Interaction With Porous Structures in Two-Layer Fluid
,” J. Eng. Math.
, 87
(1
), pp. 73
–97
. 10.1007/s10665-013-9667-017.
Zhao
, Y.
, Liu
, Y.
, Li
, H.
, and Chang
, A.
, 2017
, “Oblique Wave Motion Over Multiple Submerged Porous Bars Near a Vertical Wall
,” J. Ocean Univ. China
, 16
(4
), pp. 568
–574
. 10.1007/s11802-017-3333-518.
Koley
, S.
, and Sahoo
, T.
, 2017
, “Wave Interaction With a Submerged Semicircular Porous Breakwater Placed on a Porous Seabed
,” Eng. Anal. Bound. Elem.
, 80
, pp. 18
–37
. 10.1016/j.enganabound.2017.02.01919.
Evans
, D.
, and Linton
, C.
, 1991
, “Submerged Floating Breakwaters
,” ASME J. Offshore. Mech. Arct. Eng.
, 113
(3
), pp. 205
–210
. 10.1115/1.291992120.
Neelamani
, S.
, and Ljubic
, J.
, 2018
, “Experimental Study on the Hydrodynamic Performance of Floating Pontoon Type Breakwater With Skirt Walls
,” ASME J. Offshore. Mech. Arct. Eng.
, 140
(2
), p. 021303
. 10.1115/1.403834321.
Williams
, A.
, 1996
, “Floating Membrane Breakwater
,” ASME J. Offshore. Mech. Arct. Eng.
, 118
(1
), pp. 46
–52
. 10.1115/1.282880022.
Yong
, L.
, LI
, Y.-c.
, and Bin
, T.
, 2009
, “Wave Motion Over Two Submerged Layers of Horizontal Thick Plates
,” J. Hydrodyn. Ser. B
, 21
(4
), pp. 453
–462
. 10.1016/S1001-6058(08)60171-723.
Cho
, I.
, and Kim
, M.
, 2008
, “Wave Absorbing System Using Inclined Perforated Plates
,” J. Fluid. Mech.
, 608
, pp. 1
–20
. 10.1017/S002211200800184524.
Liu
, Y.
, and Li
, Y.-C.
, 2011
, “An Alternative Analytical Solution for Water-Wave Motion Over a Submerged Horizontal Porous Plate
,” J. Eng. Math.
, 69
(4
), pp. 385
–400
. 10.1007/s10665-010-9406-825.
Liu
, Y.
, and Li
, H.-j.
, 2014
, “Analysis of Wave Performance Through Pile–rock Breakwaters
,” Proc. Inst. Mech. Eng., Part M J. Eng. Marit. Environ.
, 228
(3
), pp. 284
–292
. 10.1177/147509021246295126.
Behera
, H.
, and Sahoo
, T.
, 2015
, “Hydroelastic Analysis of Gravity Wave Interaction With Submerged Horizontal Flexible Porous Plate
,” J. Fluids Struct.
, 54
, pp. 643
–660
. 10.1016/j.jfluidstructs.2015.01.00527.
Li
, Y.
, Dong
, G.
, Liu
, H.
, and Sun
, D.
, 2003
, “The Reflection of Oblique Incident Waves by Breakwaters With Double-Layered Perforated Wall
,” Coast. Eng.
, 50
(1
), pp. 47
–60
. 10.1016/j.coastaleng.2003.08.00128.
Teng
, B.
, Zhang
, X.
, and Ning
, D.
, 2004
, “Interaction of Oblique Waves With Infinite Number of Perforated Caissons
,” Ocean Eng.
, 31
(5
), pp. 615
–632
. 10.1016/j.oceaneng.2003.08.00129.
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
), p. 112110
. 10.1063/1.483237530.
Liu
, Y.
, and Li
, H.-J.
, 2017
, “Iterative Multi-Domain Bem Solution for Water Wave Reflection by Perforated Caisson Breakwaters
,” Eng. Anal. Bound. Elem.
, 77
, pp. 70
–80
. 10.1016/j.enganabound.2016.12.01131.
Au
, M.
, and Brebbia
, C.
, 1982
, “Numerical Prediction of Wave Forces Using the Boundary Element Method
,” Appl. Math. Model.
, 6
(4
), pp. 218
–228
. 10.1016/S0307-904X(82)80028-032.
Liu
, P. L.
, and Abbaspour
, M.
, 1982
, “Wave Scattering by a Rigid Thin Barrier
,” J. Waterw., Port, Coast. Ocean Div.
, 108
(4
), pp. 479
–491
.33.
Kar
, P.
, Koley
, S.
, and Sahoo
, T.
, 2018
, “Scattering of Surface Gravity Waves Over a Pair of Trenches
,” Appl. Math. Model.
, 62
, pp. 303
–320
. 10.1016/j.apm.2018.06.002Copyright © 2019 by ASME
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