Chinese Journal of Ship Research, Volume. 17, Issue 1, 60(2022)
Numerical solution and sensitivity analysis of hydrodynamic force derivatives on maneuverability prediction
Figures & Tables(21)
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Table 1. Main parameters of DTMB 5415 ship model
View tableView in ArticleTable 1. Main parameters of DTMB 5415 ship model
主尺度 全尺度模型 MARIN模型 缩尺比λ 1 35.48 垂线间长Lpp /m 142 4.002 型宽B/m 19.06 0.538 吃水T/m 6.15 0.173 $排水体积 \nabla/{\mathrm{m} }^{3}$ 8 424.4 0.189 湿表面面积S/m2 2 972.6 2.361 螺旋桨直径DP /m 6.15 0.173 舵面积AR /m2 15.4 0.012 2
Table 2. Grid convergence analysis
View tableView in ArticleTable 2. Grid convergence analysis
网格类型 网格数量 总阻力Rf /N 误差/% 计算值 试验值 细网格 2.46×106 18.416 18.41 0.03 中等网格 1.10×106 18.534 18.41 0.67 粗网格 0.56×106 18.821 18.41 2.23 ${R_{\rm{G}}}$ 0.41 − −
Table 3. Comparison of the CFD calculated results and experimental data of total resistance for DTMB 5415 ship model
View tableView in ArticleTable 3. Comparison of the CFD calculated results and experimental data of total resistance for DTMB 5415 ship model
$F_r= U/\sqrt{gL}$ U/(m·s−1) 总阻力Rf /N 误差/% 计算值 试验值 0.138 0.864 4.286 4.32 −0.79 0.210 1.315 10.15 − − 0.280 1.751 18.534 18.41 0.67 0.330 2.067 27.12 − − 0.410 2.567 55.05 55.46 −0.73
Table 4. Calculation conditions of pure sway motion
View tableView in ArticleTable 4. Calculation conditions of pure sway motion
Fr u/(m·s−1) f /(r·min−1) a/m $ v'_{\text{max}} $ 0.28 1.755 7 0.083 6 0.03 0.28 1.755 7 0.167 0 0.07 0.28 1.755 7 0.415 8 0.17
Table 5. Calculation conditions of pure yaw motion
View tableView in ArticleTable 5. Calculation conditions of pure yaw motion
Fr u/(m·s−1) f /(r·min−1) $ {\psi }_{\mathrm{m}\mathrm{a}\mathrm{x}} $ $ r'_{\text{max}} $ 0.28 1.755 7 0.029 91 0.05 0.28 1.755 7 0.179 5 0.30 0.28 1.755 7 0.269 2 0.45 0.28 1.755 9 0.279 2 0.60 0.28 1.755 9 0.349 0 0.75
Table 6. Hydrodynamic derivatives obtained by quadratic fitting
View tableView in ArticleTable 6. Hydrodynamic derivatives obtained by quadratic fitting
水动力导数 计算值 试验值 误差/% $ {Y}_{\nu } $ −160.7 −190.2 −15.51 $ {Y}_{\dot{\nu }} $ −151.6 −161.5 −6.13 $ {N}_{\nu } $ −431.7 −426.3 1.27 $ {N}_{\dot{\nu }} $ −85.45 −86.26 −0.94 $ {Y}_{r} $ −181 −172.5 4.93 $ {Y}_{\dot{r}} $ −67.27 −63.78 5.47 $ {N}_{r} $ −551.9 −547.6 0.79 $ {N}_{\dot{r}} $ −203.4 −203 0.20
Table 7. Hydrodynamic derivatives calculated by empirical formulas
View tableView in ArticleTable 7. Hydrodynamic derivatives calculated by empirical formulas
水动力导数 数值 水动力导数 数值 $ X_{vv}' $ −0.086 $ Y_{vrr}' $ −0.940 $ X_{rr}' $ 0.007 $ N_{vv}' $ 0.086 $ X_{vr}' $ −0.052 $ N_{rr}' $ −0.056 $ Y_{vv}' $ −4.162 $ N_{vvr}' $ −0.614 $ Y_{rr}' $ −0.015 $ N_{vrr}' $ −0.016 $ Y_{vvr}' $ −0.407 $ X\dot{u} $ −0.020
Table 8. Comparison of the simulated results and experimental data for turning motion parameters
View tableView in ArticleTable 8. Comparison of the simulated results and experimental data for turning motion parameters
参数 仿真值 试验值 SB[ 18 ]CFDB[ 5 ]EMP[ 20 ]本文方法与 试验值间的 误差/% Ad /m 382.4 385 379.14 411.8 362.1 −0.68 Tr /m 237.2 215 252.76 224.36 163.3 10.3 DT /m 548.1 518 556.64 549.54 401.86 5.81 Do /m 544.1 519.13 555.22 − 381.98 4.81 rs/(rad·s−1) 0.026 38 0.024 8 0.026 74 − − 6.37 Us /(m·s−1) 7.147 6.945 7.408 − 5.741 2.9 预报平均 误差/% − − 8.3 5.8 19.2 5.1
Table 9. Comparison of simulated results and experiment data for zigzag motion parameters
View tableView in ArticleTable 9. Comparison of simulated results and experiment data for zigzag motion parameters
参数 仿真值 试验值 SB[ 18 ]CFDB[ 5 ]本文方法与 试验值的误差/% $ {\psi }_{\mathrm{m}\mathrm{a}\mathrm{x}1}/ $ (°)25.82 24.61 24.15 26.38 4.9 $ {\psi }_{\mathrm{m}\mathrm{a}\mathrm{x}2}/ $ (°)25.84 24.96 24.69 27.02 3.5 $ {\psi }_{\mathrm{O}\mathrm{V}1}/ $ (°)5.82 4.61 4.15 6.38 26.2 $ {\psi }_{\mathrm{O}\mathrm{V}2}/ $ (°)5.84 4.96 4.69 7.02 17.7 $ {t}_{\alpha }/ $ s21.8 25.1 − − −13.1 $ {t}_{\mathrm{l}}/ $ s3.556 3.4 − − 4.6 预报平均误差/% 4.6 23.8 11.7
Table 10. Sensitivity of hydrodynamic derivatives to turning motion parameters
View tableView in ArticleTable 10. Sensitivity of hydrodynamic derivatives to turning motion parameters
水动力导数 敏感度/% 敏感度 平均值/% Ad Tr DT Do rs Us Yv 1.75 7.59 4.53 4.15 −1.76 2.78 3.76 $ {Y}_{\dot{\nu }} $ −0.27 −2.63 −3.12 −3.73 −2.61 −6.38 3.13 Yr −1.73 −7.47 −4.36 −4.06 1.77 −2.65 3.67 Nv −31.01 −36.09 −35.72 −35.50 32.60 0.40 28.55 Nr 30.32 34.97 34.76 34.69 −36.94 −0.65 28.72 $ {N}_{\dot{r}} $ 2.80 −0.31 −0.23 0.00 0.00 0.00 0.56 Xvr 0.84 1.85 1.67 1.77 1.22 3.04 1.73 Xvv −0.39 −0.63 −0.80 −0.86 −0.61 −0.27 0.59 Xrr 0.40 1.08 0.76 0.79 0.55 1.37 0.82 Yvv 2.14 12.28 7.47 7.19 −2.96 4.89 6.15 Yrr −0.11 −0.59 −0.43 −0.41 0.18 −0.27 0.33 Yvrr 0.95 6.48 3.99 4.08 −1.72 2.79 3.34 Yvvr −0.11 −0.67 −0.52 −0.52 0.23 −0.35 0.40 Nvv 1.89 2.41 2.40 2.41 −2.44 −0.03 1.93 Nrr 14.18 18.25 18.46 18.60 −20.13 −0.32 14.99 Nvrr −0.56 −0.71 −0.79 −0.81 0.82 0.01 0.62 Nvvr 6.52 8.80 8.99 9.08 −9.23 −0.12 7.12
Table 11. Sensitivity of hydrodynamic derivatives to zigzag motion parameters
View tableView in ArticleTable 11. Sensitivity of hydrodynamic derivatives to zigzag motion parameters
水动力导数 敏感度/% 敏感度 平均值/% $ {\psi }_{\mathrm{O}\mathrm{V}1} $ $ {\psi }_{\mathrm{O}\mathrm{V}2} $ $ {t}_{\alpha } $ $ {t}_{\mathrm{l}} $ Yv −3.45 −3.22 4.36 −33.75 11.19 $ {Y}_{\dot{\nu }} $ 0.19 0.16 4.13 16.87 5.34 Yr 2.63 2.62 −4.36 22.63 8.06 Nv 16.55 16.03 −32.80 88.59 38.49 Nr −17.20 −16.09 29.36 −66.09 32.18 $ {N}_{\dot{r}} $ 4.43 4.27 6.88 50.62 16.55 Xvr 0.27 0.38 0.00 1.41 0.51 Xvv −0.14 −0.47 0.00 0.00 0.15 Xrr 0.12 0.36 0.00 0.00 0.12 Yvv −4.53 −3.97 3.90 −39.37 12.94 Yrr 0.42 0.06 0.00 1.41 0.47 Yvrr −1.23 −0.96 1.38 −11.25 3.71 Yvvr 0.39 0.07 0.00 1.41 0.47 Nvv −0.53 −0.77 1.61 −4.22 1.78 Nrr −4.60 −5.08 8.94 −16.87 8.87 Nvrr 0.42 0.45 0.00 0.00 0.22 Nvvr −2.30 −1.80 2.75 −5.62 3.12
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Hanbing SUN, Jiafeng XIAO, Wei WANG, Weijie LIU, Xing ZHENG. Numerical solution and sensitivity analysis of hydrodynamic force derivatives on maneuverability prediction[J]. Chinese Journal of Ship Research, 2022, 17(1): 60
Paper Information
Category: Ship Design and Performance
Received: Dec. 30, 2020
Accepted: Jan. 28, 2022
Published Online: Mar. 24, 2025
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