Numerical analysis on maneuverability of amphibious rescue boat in restricted waters

Table 1. Verification of DTMB 5415 ship model total resistance
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Table 1. Verification of DTMB 5415 ship model total resistance
Fr U/(m·s⁻¹) 试验值/N 本文计算值/N 差值/%
0.28 1.754 18.41 18.45 0.24

Table 2. Validation of pure sway linear hydrodynamic derivatives
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Table 2. Validation of pure sway linear hydrodynamic derivatives
水动力导数本文计算值试验值本文误差/% 文献[37]误差/%
${Y_v}$ −139.58 −153.20 −8.9 −13.9%
${N_v}$ −440.21 −384.40 14.5 3.0%

Table 3. Validation of pure yaw linear hydrodynamic derivatives
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Table 3. Validation of pure yaw linear hydrodynamic derivatives
水动力导数本文计算值试验值本文误差/% 文献[37]误差/%
${Y_r}$ −164.38 −144.20 −14.0 7.9
${N_r}$ −450.91 −436.00 3.4 5.9

Table 4. Calculation parameters of KVLCC2 tanker maneuvering motion

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Table 4. Calculation parameters of KVLCC2 tanker maneuvering motion

	参数	数值	参数	数值	参数	数值
船型参数	$ L_{\mathrm{PP}} $/m	320	B/m	58	d/m	20.8
	$ C_{\mathrm{B}} $	0.81	$GM$/m	5.71	$ x\mathrm{_G} $/m	11.1
	$\nabla/ $$ \mathrm{m}^3 $	312622	Fr	0.142
水动力导数	${X'_0}$	0.022	${Y'_v}$	−0.315	${N'_v}$	−0.137
	${X'_{vv}}$	−0.040	${Y'_{vvv}}$	−1.607	$ {N'_{vvv}} $	−0.030
	${X'_{vvvv}}$	0.771	${Y'_r}$	0.083	${N'_r}$	−0.049
	${X'_{rr}}$	0.011	${Y'_{rrr}}$	0.008	${N'_{rrr}}$	−0.013
	${X'_{vr}}$	0.002	${Y'_{vrr}}$	−0.391	${N'_{vrr}}$	0.055
	${m'_x}$	0.022	${Y'_{vvr}}$	0.379	${N'_{vvr}}$	−0.294
	${m'_y}$	0.223	${J'_z}$	0.011
螺旋桨参数	$ D_{\mathrm{P}} $/m	9.86	$ n_{\mathrm{P}}/ $$ \mathrm{s}^{-1} $	1.53	$ t_{\mathrm{P}} $	0.22
螺旋桨参数	$ w_{\mathrm{P}0} $	0.35
舵参数	$ H_{\mathrm{R}} $/m	15.8	$ A\mathrm{_R} $/$ \mathrm{m}^2 $	112.5	$ x'_{\mathrm{R}} $	−0.50
舵参数	$ x'_{\mathrm{H}} $	−0.464	$ t_{\mathrm{R}} $	0.387

Table 5. Verification of turning diameter and speed reduction during 35° turning motion
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Table 5. Verification of turning diameter and speed reduction during 35° turning motion
试验^[33] 本文 Sukas等^[33]
无量纲回转直径 2.42 1.99 2.01
回转直径误差/% − 17.77 16.94
无量纲稳定回转速度 0.386 0.323 0.318
速降误差/% − 17.62 16.32

Table 6. Model parameters of amphibious rescue boat

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Table 6. Model parameters of amphibious rescue boat

参数	数值
缩尺比	1
艇长L/m	6.13
艇宽B/m	2.36
方型系数 C_B	0.549
设计吃水d/m	0.268
空载质量m/kg	2 000
重心位置(Gx,Gy,Gz)/mm	(2 025, 0, 4)
稳性高度/m	2.24
满载质量M/kg	3 000
航速范围/(m·s⁻¹)	0～16.7

Table 7. Grid convergence analysis
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Table 7. Grid convergence analysis
网格类型网格数 R/N 差值/%
粗网格 661 419 272.71 13.23
中等网格 1 295 268 241.44 0.25
细网格 2 803 443 240.84

Table 8. Time step convergence analysis
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Table 8. Time step convergence analysis
时间步长∆t /s R/N 差值/%
0.02 271.57 13.11
0.01 241.44 0.56
0.005 240.09

Table 9. Bank effect test calculation cases
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Table 9. Bank effect test calculation cases
航速U/(m·s⁻¹) 近岸距离y_bank 横向位移η'
1.55 1.7B 0, ±0.03, ±0.06, ±0.09, ±0.12, ± 0.15
1.55 1.4B 0, ±0.03, ±0.06, ±0.09, ±0.12, ± 0.15
1.55 1.2B 0, ±0.03, ±0.06, ±0.09, ±0.12, ±0.15

Table 10. Pure sway and pure yaw motion calculation cases at different nearshore distances

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Table 10. Pure sway and pure yaw motion calculation cases at different nearshore distances

约束运动	${v'_{\max }}$	${r'_{\max }}$	周期T/s	航速U/(m·s⁻¹)
注：${v'_{\max }}$为无量纲横向速度幅值，${r'_{\max }}$为无量纲转艏角速度幅值。
纯横荡	0.16, 0.31, 0.47	−	8.56	1.55
纯艏摇	−	0.30, 0.45, 0.72	8.56	1.55

Table 11. Constrained motion simulation cases under different water depths (U = 1.55 m/s)
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Table 11. Constrained motion simulation cases under different water depths (U = 1.55 m/s)
约束运动 h/d 漂角β/° ${r'_{\max }}$ 周期T/s
直航 13, 1.5, 1.2 0 − 0
斜航 13, 1.5, 1.2 ±2, ±6, ±9, ±11 − 0
纯艏摇 13, 1.5, 1.2 − 0.30, 0.45, 0.72 8.56

Table 12. Asymmetric hydrodynamic derivative

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Table 12. Asymmetric hydrodynamic derivative

水动力导数	y_bank = 1.7B	y_bank = 1.4B	y_bank = 1.2B
${Y'_\eta }$	−0.002 8	−0.002 8	−0.002 7
${Y'_{\eta \eta \eta }}$	0.602 6	0.757 0	0.832 6
${N'_\eta }$	−7.398 1×10−4	−5.122 4×10−4	−2.263 2×10−4
${N'_{\eta \eta \eta }}$	−0.027 3	−0.065 9	−0.124 7

Table 13. Maneuverability indexes of turning motion under different initial nearshore distances

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Table 13. Maneuverability indexes of turning motion under different initial nearshore distances

	近岸距离y_bank				岸距W/2与1.2B的差值/%
	W/2	1.7B	1.4B	1.2B	岸距W/2与1.2B的差值/%
战术直径/m	33.44	32.35	32.02	31.48	5.86
定常回转直径/m	24.68	23.56	23.03	22.13	10.33
纵距/m	27.41	26.76	26.60	26.38	3.76
横距/m	15.29	14.35	4.24	14.24	6.87
定常航速/(m·s⁻¹)	1.04	1.00	0.98	0.97	6.73
定常转艏角速度\|r\|/(rad·s⁻¹)	8.48×10⁻²	8.52×10⁻²	8.57×10⁻²	8.75×10⁻²	−3.18

Table 14. Maneuverability indexes of zigzag motion under different nearshore distances

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Table 14. Maneuverability indexes of zigzag motion under different nearshore distances

	近岸距离${y_{{\text{bank}}}}$				岸距W/2与1.2B的差值/%
	W/2	1.7B	1.4B	1.2B	岸距W/2与1.2B的差值/%
注：$ \mathit{\Psi}_{\rm OA1} $,$ \mathit{\Psi}_{\rm OA2} $分别为第一、第二超越角；TL₁,TL₂为转艏滞后时间。
$ \mathit{\Psi}_{\rm OA1}/\mathrm{^{_{ }}} $(°)	2.11	1.31	1.17	0.87	58.77
$ \mathit{\Psi}_{\rm OA2}/^{ } $(°)	2.69	3.24	4.18	4.09	−52.04
$ TL_1/\mathrm{s} $	2.00	1.00	0.50	0.50	75.00
$ TL_2/\mathrm{s} $	2.00	3.00	3.50	4.00	−100.00

Table 15. The direct navigation resistance (R) of amphibious rescue boat under different water depths
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Table 15. The direct navigation resistance (R) of amphibious rescue boat under different water depths
航速U/(m·s⁻¹) h/d R/N 差值/%
1.55 13 241.44 −
1.55 3 263.38 9.09
1.55 1.5 443.23 83.58
1.55 1.2 725.38 200.44

Table 16. Maneuverability indexes of turning motion

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Table 16. Maneuverability indexes of turning motion

	h/d			h/d = 13与1.2的差值/%
	13	1.5	1.2	h/d = 13与1.2的差值/%
战术直径/m	33.44	45.12	62.45	−86.75
定常回转直径/m	24.68	42.04	61.90	−150.81
纵距/m	27.41	31.01	31.92	−16.45
横距/m	15.29	23.03	31.68	−107.19
定常航速/(m·s−1)	1.04	1.37	1.42	−36.54
定常转艏角速度$\left\| r \right\|$/(rad·s−1)	8.48×10−2	6.52×10−2	4.52×10−2	46.70

Table 17. Maneuverability indexes of zigzag motion
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Table 17. Maneuverability indexes of zigzag motion
h/d h/d = 13与1.2的差值/%
13 1.5 1.2
$ \varPsi_{\rm OA1}/^{ } $(°) 2.11 1.66 1.13 46.45
$ \varPsi_{\rm OA2}/^{ } $(°) 2.69 2.29 1.03 61.71
TL1/s 2.00 1.50 0 100.00
TL2/s 2.00 2.00 0 100.00

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Jiadong WEN, Jiangyan SHAO, Qipeng CHENG, Weiqin LIU, Xuming WANG. Numerical analysis on maneuverability of amphibious rescue boat in restricted waters[J]. Chinese Journal of Ship Research, 2025, 20(3): 80

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Paper Information

Category: Ship Design and Performance

Received: May. 22, 2024

Accepted: Sep. 6, 2024

Published Online: Jul. 15, 2025

The Author Email:

DOI:10.19693/j.issn.1673-3185.03934

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology

Table 1. Verification of DTMB 5415 ship model total resistance

Table 1. Verification of DTMB 5415 ship model total resistance

Table 2. Validation of pure sway linear hydrodynamic derivatives

Table 2. Validation of pure sway linear hydrodynamic derivatives

Table 3. Validation of pure yaw linear hydrodynamic derivatives

Table 3. Validation of pure yaw linear hydrodynamic derivatives

Table 4. Calculation parameters of KVLCC2 tanker maneuvering motion

Table 4. Calculation parameters of KVLCC2 tanker maneuvering motion

Table 5. Verification of turning diameter and speed reduction during 35° turning motion

Table 5. Verification of turning diameter and speed reduction during 35° turning motion

Table 6. Model parameters of amphibious rescue boat

Table 6. Model parameters of amphibious rescue boat

Table 7. Grid convergence analysis

Table 7. Grid convergence analysis

Table 8. Time step convergence analysis

Table 8. Time step convergence analysis

Table 9. Bank effect test calculation cases

Table 9. Bank effect test calculation cases

Table 10. Pure sway and pure yaw motion calculation cases at different nearshore distances

Table 10. Pure sway and pure yaw motion calculation cases at different nearshore distances

Table 11. Constrained motion simulation cases under different water depths (U = 1.55 m/s)

Table 11. Constrained motion simulation cases under different water depths (U = 1.55 m/s)

Table 12. Asymmetric hydrodynamic derivative

Table 12. Asymmetric hydrodynamic derivative

Table 13. Maneuverability indexes of turning motion under different initial nearshore distances

Table 13. Maneuverability indexes of turning motion under different initial nearshore distances

Table 14. Maneuverability indexes of zigzag motion under different nearshore distances

Table 14. Maneuverability indexes of zigzag motion under different nearshore distances

Table 15. The direct navigation resistance (R) of amphibious rescue boat under different water depths

Table 15. The direct navigation resistance (R) of amphibious rescue boat under different water depths

Table 16. Maneuverability indexes of turning motion

Table 16. Maneuverability indexes of turning motion

Table 17. Maneuverability indexes of zigzag motion

Table 17. Maneuverability indexes of zigzag motion