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Citation:
 Zhigang Zhang,Yunzhou Li,Guanghua He,et al.Manipulating Scattering Performance of Offshore Structures in Water Waves Using a Wavelength Modulator[J].Journal of Marine Science and Application,2025,(6):1141-1149.[doi:10.1007/s11804-025-00653-0]
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Manipulating Scattering Performance of Offshore Structures in Water Waves Using a Wavelength Modulator

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Title:
Manipulating Scattering Performance of Offshore Structures in Water Waves Using a Wavelength Modulator
Author(s):
Zhigang Zhang1234 Yunzhou Li3 Guanghua He5 Zhengxiao Luan5 Qiang Zhao3 Jiming Zhang3 Juncheng Wang3
Affilations:
Author(s):
Zhigang Zhang1234 Yunzhou Li3 Guanghua He5 Zhengxiao Luan5 Qiang Zhao3 Jiming Zhang3 Juncheng Wang3
1. School of Mechanical Engineering, Shandong University, Jinan, 250061, China;
2. Key Laboratory of High Efficiency and Clean Mechanical Manufacture at Shandong University, Ministry of Education, Jinan, 250061, China;
3. Institute of Oceanographic Instrumentation, Qilu University of Technology (Shandong Academy of Sciences), Qingdao, 266061, China;
4. State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian, 116024, China;
5. School of Ocean Engineering, Harbin Institute of Technology, Weihai, Weihai, 264209, China
Keywords:
Water-wave fieldScattering performanceSpace transformation methodWavelength modulatorAnisotropic medium
分类号:
-
DOI:
10.1007/s11804-025-00653-0
Abstract:
Through active manipulation of wavelengths, a structure exposed to a water-wave field can achieve a target hydrodynamic performance. Based on the form invariance of the governing equation for shallow water waves, wavelength modulators have been proposed using the space transformation method, which enables wavelength manipulation by distributing an anisotropic medium that incorporates water depth and gravitational acceleration within the modulation space. First, annular wavelength modulators were designed using the space transformation method to reduce or amplify the wavelength of shallow water waves. The control method of wavelength scaling ratios was investigated. In addition to plane waves, the wavelength modulator was applied to manipulate the wavelength of cylindrical waves. Furthermore, the interactions between a vertical cylinder and modulated water waves were studied. Results indicate that the wavelength can be arbitrarily reduced or amplified by adjusting the dimensional parameters of the modulator. Additionally, the modulator is effective for plane waves and cylindrical waves. This wavelength modulator can enable the structure to achieve the desired scattering characteristics at the target wavelength.

References:

[1] Berraquero CP, Maurel A, Petitjeans P, Pagneux V (2013) Experimental realization of a water-wave metamaterial shifter. Physical Review E 88(5): 051002. https://doi.org/10.1103/PhysRevE.88.051002.
[2] Chen H, Yang J, Zi J, Chan CT (2009) Transformation media for linear liquid surface waves. Europhysics Letters 85(2): 24004. https://doi.org/10.1209/0295-5075/85/24004.
[3] Cummer SA, Schurig D (2007) One path to acoustic cloaking. New Journal of Physics 9(3): 45. https://doi.org/10.1088/1367-2630/9/3/045.
[4] Brule S, Javelaud EH, Enoch S, Guenneau S (2014) Experiments on seismic metamaterials: molding surface waves. Physical Review Letters 112(13): 133901. https://doi.org/10.1103/PhysRevLett.112.133901
[5] Dupont G, Kimmoun O, Molin B, Guenneau S, Enoch S (2015) Numerical and experimental study of an invisibility carpet in a water channel. Physical Review E 91(2): 023010. https://doi.org/10.1103/PhysRevE.91.023010
[6] Faltinsen O (1993) Sea Loads on ships and offshore structures. Cambridge University Press
[7] Farhat M, Enoch S, Guenneau S, Movchan A. B (2008) Broadband cylindrical acoustic cloak for linear surface waves in a fluid. Physical Review Letters 101: 134501. https://doi.org/10.1103/PhysRevLett.101.134501
[8] He G, Zhang Z, Luan Z, Liu S (2019) A nearshore wave energy converter based on wave reflection. Chinese patent ZL201910191032.7 (in Chinese)
[9] Iida T, Kashiwagi M, He G (2014) Numerical confirmation of cloaking phenomenon array of floating bodies and reduction of wave drift force. International Journal of Offshore and Polar Engineering 24(4): 241-246
[10] Iida T, Kashiwagi M (2017) Water wave focusing using coordinate transformation. Journal of energy and power engineering 11: 631636. https://doi.org/10.17265/1934-8975/2017.10.002
[11] Iida T, Kashiwagi M (2018) Small water channel network for designing wave fields in shallow water. Journal of Fluid Mechanics 849: 90-110. https://doi.org/10.1017/jfm.2018.355
[12] Iida T, Zareei A, Alam R (2023) Water wave cloaking using a floating composite plate. Journal of Fluid Mechanics 954: A4. https://doi.org/10.1017/jfm.2022.916
[13] Konispoliatis DN, Mavrakos SA (2021) Hydrodynamic efficiency of a wave energy converter in front of an orthogonal breakwater. Journal of Marine Science and Engineering 9(1): 94. https://doi.org/10.3390/jmse9010094
[14] Leonhardt U (2006) Optical conformal mapping. Science 312(5781): 1777-1780. https://doi.org/10.1126/science.1126493
[15] Mei CC, Stiassnie MA, Yue DKP (2005) Theory and applications of ocean surface waves: Part 1: linear aspects. World Scientific. https://doi.org/10.1142/5566
[16] Neill SP, Hashemi MR (2018) Fundamentals of ocean renewable energy: generating electricity from the sea. Academic Press. https://doi.org/10.1016/C2016-0-00230-9
[17] Newman JN (1977) Marine hydrodynamics. MIT Press. https://doi.org/10.7551/mitpress/4443.001.0001
[18] Newman JN (2014) Cloaking a circular cylinder in water waves. European Journal of Mechanics-B/Fluids 47: 145-150. https://doi.org/10.1016/j.euromechflu.2013.11.005
[19] Pecher A, Kofoed JP (2017) Handbook of ocean wave energy. Springer Nature. https://doi.org/10.1007/978-3-319-39889-1
[20] Pendry JB, Schurig D, Smith DR (2006) Controlling electromagnetic fields. Science 312(5781): 1780-1782. https://doi.org/10.1126/science.1125907
[21] Porter R, Newman JN (2014) Cloaking of a vertical cylinder in waves using variable bathymetry. Journal of Fluid Mechanics 750: 124-143. https://doi.org/10.1017/jfm.2014.254
[22] Ren J, Jin P, Liu Y, Zang J (2021) Wave attenuation and focusing by a parabolic arc pontoon breakwater. Energy 217: 119405. https://doi.org/10.1016/j.energy.2020.119405
[23] Schurig D, Mock JJ, Justice Bj, Cummer SA, Pendry JB, Starr AF, Smith DR (2006a) Metamaterial electromagnetic cloak at microwave frequencies. Science 314: 977-980. https://doi.org/10.1126/science.1133628
[24] Schurig D, Pendry JB, Smith DR (2006b) Calculation of material properties and ray tracing in transformation media. Optics Express 14(21): 9794-9804. https://doi.org/10.1364/OE.14.009794
[25] Wiel RVD, Kramer J, Ven PVD, Borsboom M, Jong MPCD (2016) Influence of a parabolic reflector wall on the sea state in an array of point absorber wave energy converters. Proceedings of the 2nd International Conference on Renewable Energies Offshore (RENEW2016), Lisbon, Portugal, 24-26
[26] Wang Z, Li C, Zatianina R, Zhang P, Zhang Y (2017) Carpet cloak for water waves. Physical Review E 96: 053107. https://doi.org/10.1103/PhysRevE.96.053107
[27] Xu H, Shi X, Gao F, Sun H, Zhang B (2014) Ultrathin three-dimensional thermal cloak. Physical Review Letters 112(5): 054301. https://doi.org/10.1103/PhysRevLett.112.054301
[28] Zareei A, Alam, MR (2015) Cloaking in shallow-water waves via nonlinear medium transformation. Journal of Fluid Mechanics 778: 273-287. https://doi.org/10.1017/jfm.2015.350
[29] Zhang C, Ning D (2019) Hydrodynamic study of a novel breakwater with parabolic openings for wave energy harvest. Ocean Engineering 182: 540-551. https://doi.org/10.1016/j.oceaneng.2019.04.056
[30] Zhang Z, He G, Gou Y, Luan Z, Liu S, He R (2023) Wavelength manipulation in shallow water via space transformation method. Physics of Fluids 35: 117108. https://doi.org/10.1063/5.0172013
[31] Zhang Z, He G, Wang W, Liu S, Wang Z (2020a) Broadband cloaking of multiple truncated cylinders in water waves using the arrangement defects. Physics of Fluids 32: 067111. https://doi.org/10.1063/5.0003854
[32] Zhang Z, Iida T, He G, Mo W, Liu S, Luan Z, Jing P (2024) Boundary effects of anisotropic medium on cloaking under shallow-water waves. Ocean Engineering 291: 116485. https://doi.org/10.1016/j.oceaneng.2023.116485
[33] Zhang Z, Liu S, Luan Z, Wang Z, He G (2020b) Invisibility concentrator for water waves. Physics of Fluids 32: 081701. https://doi.org/10.1063/5.0019129

Memo

Memo:
Received date:2024-7-29;Accepted date:2024-11-20。<br>Foundation item:This study was supported by National Key R&amp;D Program of China (2022YFC3104200); the China Postdoctoral Science Foundation (2023M742157); the Shandong Province Taishan Scholars Project (tsqn201909172); the Shandong Provincial Natural Science Foundation (ZR2023QA097); the Open Research Fund Program of State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology (LP2309); and the Innovation Project of Qingdao Post-Doctoral (QDBSH20230202121).<br>Corresponding author:Zhigang Zhang,E-mail:zhangzg@sdu.edu.cn
Last Update: 2025-12-26