×

Boundary element method for wave trapping by a multi-layered trapezoidal breakwater near a sloping rigid wall. (English) Zbl 1521.76507

Summary: This study examines the multiple layers in a rubble mound breakwater and their effect on reflection and dissipation of incoming ocean waves. The numerical model is developed using multi-domain boundary element method for oblique water wave trapping near a sloping wall by a multi-layered trapezoidal porous structure, which is utilized to model armour, filter and core layers while examining the hydrodynamics in different configurations. Both, the constant element and linear element approaches to boundary element method are discussed. The cases of bottom-standing porous structures as being submerged and fully extended are considered. The wave hydrodynamics over the structure is described by the reflection and dissipation coefficients along with the forces acting on the sloping wall, and is influenced by wave and structural parametrics of the system. The influence of armour layer in different configurations is highlighted for various structural and wave parameters.

MSC:

76M15 Boundary element methods applied to problems in fluid mechanics
76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction
76S05 Flows in porous media; filtration; seepage
86A05 Hydrology, hydrography, oceanography
Full Text: DOI

References:

[1] Ang, W-T, A beginner’s course in boundary element methods (2007), Irvine: Universal-Publishers, Irvine
[2] Au, M.; Brebbia, C., Numerical prediction of wave forces using the boundary element method, Appl Math Model, 6, 4, 218-228 (1982) · Zbl 0496.76021 · doi:10.1016/S0307-904X(82)80028-0
[3] Behera, H.; Khan, MB, Numerical modeling for wave attenuation in double trapezoidal porous structures, Ocean Eng, 184, 91-106 (2019) · doi:10.1016/j.oceaneng.2019.05.006
[4] Behera, H.; Koley, S.; Sahoo, T., Wave transmission by partial porous structures in two-layer fluid, Eng Anal Bound Elem, 58, 58-78 (2015) · Zbl 1403.76007 · doi:10.1016/j.enganabound.2015.03.010
[5] Behera, H.; Sahoo, T., Gravity wave interaction with porous structures in two-layer fluid, J Eng Math, 87, 1, 73-97 (2014) · Zbl 1359.76051 · doi:10.1007/s10665-013-9667-0
[6] Bender, CJ; Dean, RG, Wave transformation by two-dimensional bathymetric anomalies with sloped transitions, Coast Eng, 50, 1-2, 61-84 (2003) · doi:10.1016/j.coastaleng.2003.08.002
[7] Bird, H.; Shepherd, R., On the interactions of surface waves with immersed structures, Int J Numer Methods Fluids, 4, 8, 765-780 (1984) · Zbl 0574.76017 · doi:10.1002/fld.1650040805
[8] Cao, Y.; Jiang, C.; Bai, Y., Wave attenuation properties of double trapezoidal submerged breakwaters on flat-bed, Trans Tianjin Univ, 18, 6, 401-410 (2012) · doi:10.1007/s12209-012-1880-9
[9] Chang, H-K; Liou, J-C, Long wave reflection from submerged trapezoidal breakwaters, Ocean Eng, 34, 1, 185-191 (2007) · doi:10.1016/j.oceaneng.2005.11.017
[10] Dalrymple, RA; Losada, MA; Martin, PA, Reflection and transmission from porous structures under oblique wave attack, J Fluid Mech, 224, 625-644 (1991) · Zbl 0717.76111 · doi:10.1017/S0022112091001908
[11] Fang, Z.; Xiao, L.; Peng, T., Generalized analytical solution to wave interaction with submerged multi-layer horizontal porous plate breakwaters, J Eng Math, 105, 1, 117-135 (2017) · Zbl 1448.76036 · doi:10.1007/s10665-016-9886-2
[12] Khan, M.; Behera, H., Analysis of wave action through multiple submerged porous structures, J Offshore Mech Arct Eng, 142, 1, 011101 (2020) · doi:10.1115/1.4044360
[13] Koley, S.; Behera, H.; Sahoo, T., Oblique wave trapping by porous structures near a wall, J Eng Mech, 141, 3, 04014122 (2014) · doi:10.1061/(ASCE)EM.1943-7889.0000843
[14] Lee, J., A boundary element model for waves interaction with porous structures, Trans Model Simul, 9, 145-152 (1995) · Zbl 0842.76043
[15] Lee, J-F; Cheng, Y-M, A theory for waves interacting with porous structures with multiple regions, Ocean Eng, 34, 11-12, 1690-1700 (2007) · doi:10.1016/j.oceaneng.2006.10.012
[16] Lin, P.; Liu, H-W, Analytical study of linear long-wave reflection by a two-dimensional obstacle of general trapezoidal shape, J Eng Mech, 131, 8, 822-830 (2005) · doi:10.1061/(ASCE)0733-9399(2005)131:8(822)
[17] Liu, PL; Abbaspour, M., Wave scattering by a rigid thin barrier, J Waterw Port Coast Ocean Div, 108, 4, 479-491 (1982)
[18] Losada, I.; Silva, R.; Losada, M., 3-d non-breaking regular wave interaction with submerged breakwaters, Coast Eng, 28, 1, 229-248 (1996) · doi:10.1016/0378-3839(96)00019-1
[19] Losada, IJ; Losada, MA; Baquerizo, A., An analytical method to evaluate the efficiency of porous screens as wave dampers, Appl Ocean Res, 15, 4, 207-215 (1993) · doi:10.1016/0141-1187(93)90009-M
[20] Madsen, OS; White, SM, Wave transmission through trapezoidal breakwaters, Coast Eng, 1976, 2662-2676 (1977) · doi:10.1061/9780872620834.153
[21] Males, RM; Melby, JA, Monte Carlo simulation model for economic evaluation of rubble mound breakwater protection in harbors, Front Earth Sci, 5, 4, 432-441 (2011) · doi:10.1007/s11707-011-0200-3
[22] Rojanakamthorn, S.; Isobe, M.; Watanabe, A., Modeling of wave transformation on submerged breakwater, Coast Eng, 1990, 1060-1073 (1991)
[23] Sollitt CK, Cross RH (1972) Wave transmission through permeable breakwaters. In: Proceedings of the 13th international conference on coastal engineering, pp 1827-1846
[24] Sulisz, W., Wave reflection and transmission at permeable breakwaters of arbitrary cross-section, Coast Eng, 9, 4, 371-386 (1985) · doi:10.1016/0378-3839(85)90018-3
[25] Twu, S-W; Chieu, C-C, A highly wave dissipation offshore breakwater, Ocean Eng, 27, 3, 315-330 (2000) · doi:10.1016/S0029-8018(99)00002-5
[26] Twu, S-W; Liu, C-C; Hsu, W-H, Wave damping characteristics of deeply submerged breakwaters, J Waterw Port Coast Ocean Eng, 127, 2, 97-105 (2001) · doi:10.1061/(ASCE)0733-950X(2001)127:2(97)
[27] Wang, CD; Meylan, MH, The linear wave response of a floating thin plate on water of variable depth, Appl Ocean Res, 24, 3, 163-174 (2002) · doi:10.1016/S0141-1187(02)00025-1
[28] Wang, Y.; Wang, G.; Li, G., Experimental study on the performance of the multiple-layer breakwater, Ocean Eng, 33, 13, 1829-1839 (2006) · doi:10.1016/j.oceaneng.2005.10.017
[29] Xie, J-J; Liu, H-W, Analytical study for linear wave transformation by a trapezoidal breakwater or channel, Ocean Eng, 64, 49-59 (2013) · doi:10.1016/j.oceaneng.2013.02.009
[30] Zhao, Y.; Li, H.; Liu, Y., Oblique wave scattering by a submerged porous breakwater with a partially reflecting sidewall, J Mar Sci Technol, 25, 4, 383-392 (2017)
[31] Zhao, Y.; Liu, Y.; Li, H.; Chang, A., Oblique wave motion over multiple submerged porous bars near a vertical wall, J Ocean Univ China, 16, 4, 568-574 (2017) · doi:10.1007/s11802-017-3333-5
[32] Zheng, Y.; Shen, Y.; Ng, C-O, Effective boundary element method for the interaction of oblique waves with long prismatic structures in water of finite depth, Ocean Eng, 35, 5, 494-502 (2008) · doi:10.1016/j.oceaneng.2007.12.003
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.