Abstract
In this study, wave generation is simulated using the velocity wave generation method. A damping wave dissipation region is established to eliminate wave reflection at the flume tail. Fluid motion is described using the Navier–Stokes equations. The water free surface is captured using the volume of fluid method. A 2D numerical model for the interactions between waves and plate-type open breakwaters is constructed using the finite volume method, and their correctness is validated by experimental results. Based on these models, two plate-type open breakwaters are compared in terms of the wave transmission coefficient (Kt), wave reflection coefficient (Kr), wave energy dissipation coefficient (Kd) and wave energy distribution. By comprehensively considering Kt, Kr, Kd and the wave energy distribution, the double-arc plate-type open breakwater is found to exhibit higher wave dissipation performance.
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References
Ursell F (1947) The effect of a fixed vertical barrier on surface waves in deep water. Math Proc Camb Philos Soc 43(3):374–382
Koley S, Kaligatla RB, Sahoo T (2015) Oblique wave scattering by a vertical flexible porous plate. Stud Appl Math 135(1):1–34
Somervell LT, Santosh G, Thampi AG, Shashikala AP (2018) Estimation of friction coefficient for double walled permeable vertical breakwater. Ocean Eng 156:25–37
Hsu HH, Wu YC (1998) Scattering of water wave by a submerged horizontal plate and a submerged permeable breakwater. Ocean Eng 26(4):325–341
Liu Y, Li YC, Teng B (2007) Wave interaction with a perforated wall breakwater with a horizontal porous plate. Ocean Eng 34(17–18):2364–2373
Liu Y, Li HJ, Li YC (2012) A new analytical solution for wave scattering by a submerged horizontal porous plate with finite thickness. Ocean Eng 42:83–92
Rao S, Shirlal KG, Varghese RV, Govindaraja KR (2009) Physical model studies on wave transmission of a submerged inclined plate breakwater. Ocean Eng 36(15–16):1199–1207
Liu Y, Li YC (2011) An alternative analytical solution for water-wave motion over a submerged horizontal porous plate. J Eng Math 69(4):385–400
Cho IH, Kim MH (2013) Transmission of oblique incident waves by a submerged horizontal porous plate. Ocean Eng 61:56–65
Wu JP, Xu L, Mei TL, Yi S, Wang LQ (2014) Numerical simulation of the interaction between surface waves and horizontal plates at free surface. Appl Mech Mater 441:456–460
Metallinos AS, Repousis EG, Memos CD (2016) Wave propagation over a submerged porous breakwater with steep slopes. Ocean Eng 111(1):424–438
Neelamani S, Rajendran R (2002) Wave interaction with ┴ -type breakwaters. Ocean Eng 29(5):561–589
Neelamani S, Rajendran R (2002) Wave interaction with T-type breakwaters. Ocean Eng 29(2):151–175
Neelamani S, Gayathri T (2006) Wave interaction with twin plate wave barrier. Ocean Eng 33(3):495–516
Zhan JM, Chen XB, Gong YJ, Hu WQ (2017) Numerical investigation of the interaction between an inverse T-type fixed/floating breakwater and regular/irregular waves. Ocean Eng 137(1):110–119
Usha R, Gayathri T (2005) Wave motion over a twin-plate breakwater. Ocean Eng 32(8–9):1054–1072
Wang Y, Wang G, Li G (2006) Experimental study on the performance of the multiple-layer breakwater. Ocean Eng 33(13):1829–1839
Li JB, Zhang NC, Guo CS (2010) Numerical simulation of waves interaction with a submerged horizontal twin-plate breakwater. China Ocean Eng 24(4):627–640
Guo CS, Zhang NC, Li YY (2011) Experimental study on the performance of twin plate breakwater. China Ocean Eng 25(4):650–652
Cho IH, Koh HJ, Kim JR, Kim MH (2013) Wave scattering by dual submerged horizontal porous plates. Ocean Eng 73:149–158
Zhang ZQ, Luan MT, Wang K (2013) Flow field analysis of submerged horizontal plate type breakwater. China Ocean Eng 27(6):821–828
Liu Y, Li HJ (2014) Wave scattering by dual submerged horizontal porous plates: further results. Ocean Eng 81:158–163
Fang ZC, Xiao LF, Kou YF, Li J (2018) Experimental study of the wave-dissipating performance of a four-layer horizontal porous-plate breakwater. Ocean Eng 151:222–233
Wang K, Shi PF, Ghen YC, Bian J, Xin H, Cheng XM (2016) Study on hydrodynamic characteristics of submerged upper arc-shaped plate type breakwater. J Ship Mech 20(5):549–557
Li XY, Wang Q, You ZJ, Guo WJ, Zhang JB, Zhan C, Zhang ZC, Wang LX, Li Q (2020) Wave attenuation performance and the influencing factors of a lower arc-plate breakwater. J China Ocean Eng 34(1):1–10
Wang GY, Ren B, Wang YX (2016) Experimental study on hydrodynamic performance of arc plate breakwater. Ocean Eng 111:593–601
Li XY, Ren B, Wang GY, Wang YX (2011) Numerical simulation of hydrodynamic characteristics on an arc crown wall using volume of fluid method based on BFC. J Hydrodyn 23(6):767–776
Vermeire BC, Witherden FD, Vincent PE (2017) On the utility of GPU accelerated high-order methods for unsteady flow simulations: a comparison with industry-standard tools. J Comput Phys 334:497–521
Higuera P, Losada IJ, Lara JL (2015) Three-dimensional numerical wave generation with moving boundaries. Coast Eng 101:35–47
Deng SY (2015) Current situation and prospects of development for numerical wave technology. Wave Conserv Sci Technol Econ 21(4):5–7
Zheng YN, Liu Z, Chen CP, Zhan JX (2015) Study on the two-dimension numerical wave tank based on fluent. China Offshore Platform 30(6):60–70
Goda Y, Suzuki Y (1976) Estimation of incident and reflected waves in random wave experiments. In: Proceedings of the 10th coastal engineering conference, vol 1. ASCE, New York, pp 828–845
Acknowledgements
The work was jointly supported by the National Science Foundation of China-Shandong United fund (Grant nos. U1706220, U1806227, U1906231), the National Natural Science Foundation of China (Grant nos. 51709140, 51879019, 41471005), the National Key Research Project (2017YFC0505902, 2018YFB1501901) and the Key Laboratory of Coastal Disasters and Defence of the Ministry of Education (Grant no. 201703).
Funding
The study was funded by the National Science Foundation of China-Shandong United fund (Grant nos. U1706220, U1806227, U1906231), the National Natural Science Foundation of China (Grant nos. 51709140, 51879019, 41471005), the National Key Research Project (2017YFC0505902, 2018YFB1501901) and the Key Laboratory of Coastal Disasters and Defence of Ministry of Education (Grant no. 201703).
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XL contributed to conceptualization, methodology, and writing—original draft preparation. TX contributed to software, visualization and investigation. QW helped in conceptualization, methodology and presentation of the published work. ZZ visualized and investigated the study. CH supervised the study. WG and XW visualized the study. XX performed writing—reviewing and editing.
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Li, X., Xie, T., Wang, Q. et al. Numerical study of the wave dissipation performance of two plate-type open breakwaters based on the Navier–Stokes equations. J Braz. Soc. Mech. Sci. Eng. 43, 196 (2021). https://doi.org/10.1007/s40430-021-02889-7
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DOI: https://doi.org/10.1007/s40430-021-02889-7