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Numerical study of wave attenuation performance of multiple float boxes-submerged bars based on Bragg resonance
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Jing-ping WU1, 2, Yi-ming YANG1, Xing-yu XU3, 4, Jia-ning LI3, 4, Chang-zhe CHEN5, Xuan-he YANG6
Journal of Ship Mechanics | 2026, 30(3) : 415 - 426
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Journal of Ship Mechanics | 2026, 30(3): 415-426
Hydrodynamics
Numerical study of wave attenuation performance of multiple float boxes-submerged bars based on Bragg resonance
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Jing-ping WU1, 2, Yi-ming YANG1, Xing-yu XU3, 4, Jia-ning LI3, 4, Chang-zhe CHEN5, Xuan-he YANG6
Affiliations
  • 1.School of Naval Architecture, Ocean and Energy Power Engineering, Wuhan University of Technology, Wuhan 430063, China
  • 2.Key Laboratory of High Performance Ship Technology of Ministry of Education, Wuhan University of Technology, Wuhan 430063, China
  • 3.Sinopec Shengli Oilfield Branch Technical Testing Center, Dongying 257000, China
  • 4.Sinopec (Shandong) Testing and Evaluation Research Co., Ltd., Dongying 257000, China
  • 5.School of Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, China
  • 6.Baotou Inspection and Test Service Center, Baotou 014030, China
Published: 2026-03-15 doi: 10.3969/j.issn.1007-7294.2026.03.007
Outline
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To extend the effective wave attenuation period range of free surface breakwaters, a study on the wave attenuation performance of a combined structure consisting of multiple surface-piercing boxes and submerged bars was conducted using Bragg resonance. A numerical wave flume was constructed utilizing the Desingularized Boundary Integral Equation Method (DBIEM) based on time-domain potential flow theory, and the interaction between regular waves and the combined structure of multiple equally spaced free surface boxes with submerged bars was calculated numerically. The occurring condition of Bragg resonance, reflection strength and wave attenuation performance of the combined structure were analyzed through reflection and transmission coefficients. The effectiveness of the numerical calculation method in this paper was verified by comparing the numerical results with existing literature data. The variation trend of transmission and reflection coefficients with 2S/λ (S is the center distance of adjacent structures, λ is the incident wavelength) is given. The results indicate that Bragg resonance occurs when regular waves propagate through multiple structures, and the wave attenuation performance of these multiple structures is significantly better than that of single structures. For multiple structures, as the number, width, and immersion depth of the boxes increase, the reflection intensity of Bragg resonance also increases. This not only reduces the transmission coefficient but also enhances the ability to dissipate long-period waves. Furthermore, increasing the gap between adjacent combined structures mainly aims to expand the effective range of the wave attenuation period. The submerged bars improve the wave-dissipating efficacy against long-period waves. This study provides valuable insights for the design of composite breakwaters.

Desingularized Boundary Integral Equation Method  /  multiple float boxes-submerged bars  /  Bragg resonance  /  long-period waves  /  potential flow theory
Jing-ping WU, Yi-ming YANG, Xing-yu XU, Jia-ning LI, Chang-zhe CHEN, Xuan-he YANG. Numerical study of wave attenuation performance of multiple float boxes-submerged bars based on Bragg resonance[J]. Journal of Ship Mechanics, 2026 , 30 (3) : 415 -426 . DOI: 10.3969/j.issn.1007-7294.2026.03.007
Year 2026 volume 30 Issue 3
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Article Info
doi: 10.3969/j.issn.1007-7294.2026.03.007
  • Receive Date:2025-05-12
  • Online Date:2026-07-07
  • Published:2026-03-15
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  • Received:2025-05-12
Affiliations
    1.School of Naval Architecture, Ocean and Energy Power Engineering, Wuhan University of Technology, Wuhan 430063, China
    2.Key Laboratory of High Performance Ship Technology of Ministry of Education, Wuhan University of Technology, Wuhan 430063, China
    3.Sinopec Shengli Oilfield Branch Technical Testing Center, Dongying 257000, China
    4.Sinopec (Shandong) Testing and Evaluation Research Co., Ltd., Dongying 257000, China
    5.School of Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, China
    6.Baotou Inspection and Test Service Center, Baotou 014030, China
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表12种不同金属材料的力学参数

Family
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Number of
genus
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Number of
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鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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