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Influence of steady ship wave and waterline integral on ship hydrodynamics calculation of frequency domain
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Xin-sheng FAN1, Ren-chuan ZHU1, Heng-dong BIAN1, Chuan-qing LI2, Min-min ZHENG2
Journal of Ship Mechanics | 2026, 30(7) : 1054 - 1064
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Journal of Ship Mechanics | 2026, 30(7): 1054-1064
• Hydrodynamics •
Influence of steady ship wave and waterline integral on ship hydrodynamics calculation of frequency domain
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Xin-sheng FAN1, Ren-chuan ZHU1, Heng-dong BIAN1, Chuan-qing LI2, Min-min ZHENG2
Affiliations
  • 1School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, China
  • 2Shanghai Ship and Shipping Research Institute Co., Ltd., Shanghai 200135, China
Published: 2026-07-15 doi: 10.3969/j.issn.1007-7294.2026.07.002
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For the frequency domain hydrodynamic problems of ship sailing in waves, the influence of steady wave potential and waterline integral terms on ship hydrodynamic calculation is explored. The boundary integral equation is solved using the three-dimensional translating and pulsating (3DTP) source Green's function method, and the background flow field is linearized using two schemes: double-body (DB) flow and Neumann-Kelvin (NK) uniform flow. A numerical program is developed and hydrodynamic calculations on Wigley I, Wigley III, S60, and S175 ships are performed. The results show that taking into account the steady potential can significantly improve the calculation accuracy of ship motion response on the resonance band of frequency. In addition, directly adding the waterline integral term to the boundary integral equation can easily lead to unstable numerical results. When the waterline is sunk to the centroid of the adjacent panel, the numerical results converge and are generally consistent with the results when the waterline integral is neglected, From an engineering perspective, in the 3DTP method, considering the influence of steady potential enhances the accuracy of the results, whereas neglecting the waterline integral is more practical.

frequency domain  /  seakeeping  /  free surface Green's function  /  steady wave  /  waterline integral
范新升, 朱仁传, 卞恒东, 李传庆, 郑敏敏. 定常兴波和水线积分对航行船舶频域水动力计算的影响. 船舶力学, 2026 , 30 (7) : 1054 -1064 . DOI: 10.3969/j.issn.1007-7294.2026.07.002
Xin-sheng FAN, Ren-chuan ZHU, Heng-dong BIAN, Chuan-qing LI, Min-min ZHENG. Influence of steady ship wave and waterline integral on ship hydrodynamics calculation of frequency domain[J]. Journal of Ship Mechanics, 2026 , 30 (7) : 1054 -1064 . DOI: 10.3969/j.issn.1007-7294.2026.07.002
Year 2026 volume 30 Issue 7
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doi: 10.3969/j.issn.1007-7294.2026.07.002
  • Receive Date:2025-12-02
  • Online Date:2026-11-03
  • Published:2026-07-15
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  • Received:2025-12-02
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    1School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, China
    2Shanghai Ship and Shipping Research Institute Co., Ltd., Shanghai 200135, China
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表12种不同金属材料的力学参数
科
Family
属数
Number of
genus
种数
Number of
species
占总种数比例
Percentage of
total species (%)
属
Genus
种数
Number of
species
占总种数比例
Percentage of total
species (%)
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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