CFD-FEM numerical simulation analysis of ship whipping response under extreme sea conditions

Table 1. Researches of S175 container ship
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Table 1. Researches of S175 container ship
文献模型缩尺比方法 Fn
文献 [11,14] 1 二维切片理论 0.275
文献[12] 50/30 水池试验 0.275
文献[13] 30 水池试验 0.250
文献[11] 50 CFD-FEM（无黏） 0.275
本文 40 CFD-FEM 0.275

Table 2. Dimension of variable section backbone beam
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Table 2. Dimension of variable section backbone beam
变截面站号内壁宽/mm 内壁高/mm 左右壁面厚/mm 上下壁面厚/mm
1 1～4 130 80 2 2
2 4～6 130 80 4 6
3 6～11 130 80 7 10
4 11～16 130 80 6 10
5 16～19 130 80 2 2

Table 3. Main parameters of the real ship and ship model

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Table 3. Main parameters of the real ship and ship model

参数	实船	船模
缩尺比	1	25
水密度ρ/(kg∙m⁻³)	1 025	1 000
总长L_OA /m	154.42	6.18
垂线间长L_pp /m	142	5.68
型宽B/m	17.8	0.71
型深h/m	9.84	0.39
吃水d/m	5.04	0.20
排水量Δ/t	6 205	0.387
重心高Z_g /m	8.25	0.33
重心纵向位置X_g /m	68.42	2.74

Table 4. The VBM and proportion of different order at St3

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Table 4. The VBM and proportion of different order at St3

倍频阶数	垂向弯矩/(N·m)		各阶倍频占低频波浪弯矩比例/%
倍频阶数	试验	CFD-FEM	试验	CFD-FEM
1	52.25	51.76	100	100
2	31.32	25.12	59.86	48.53
3	12.65	10.68	24.18	20.63
4	10.06	7.23	19.23	13.97
5	5.60	3.93	10.70	7.59
6	2.95	1.86	5.64	3.59
7	1.63	1.78	3.12	3.44

Table 5. Component of VBM in different wave height
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Table 5. Component of VBM in different wave height
倍频阶数各阶倍频的低频波浪弯矩占比/%
H = 2.5 m H = 4.0 m H = 5.0 m
1 100 100 100
2 41.51 51.70 59.86
3 5.77 11.78 24.18
4 3.88 11.18 19.23
5 − 4.71 10.70
6 − − 5.64
7 − − 3.12

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Hantao ZHANG, Yiwen WANG, Xiangshao KONG, Cheng ZHENG, Weiguo WU. CFD-FEM numerical simulation analysis of ship whipping response under extreme sea conditions[J]. Chinese Journal of Ship Research, 2024, 19(2): 148

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