|Table of Contents|

Citation:
　Xiangkun Wang,Haichuan Zhang,Jiayin Chen,et al.Advanced Hydrodynamic Simulation and Validation of a Torpedo-Shaped AUV[J].Journal of Marine Science and Application,2026,(5):1364-1391.[doi:10.1007/s11804-026-00843-4]
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Advanced Hydrodynamic Simulation and Validation of a Torpedo-Shaped AUV

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Title:
Advanced Hydrodynamic Simulation and Validation of a Torpedo-Shaped AUV
Author(s):
Xiangkun Wang1;  Haichuan Zhang1;  Jiayin Chen1;  Muxin Nian1;  Zaowei Li1;  Ping Zheng2
Affilations:
Author(s):
Xiangkun Wang1;  Haichuan Zhang1;  Jiayin Chen1;  Muxin Nian1;  Zaowei Li1;  Ping Zheng2
1 Ringgold standard institution, Shenzhen Technology University, Shenzhen 518118, China;
2 China Great Wall Technology Group Co., Ltd. Shenzhen 518109, China
Keywords:
Torpedo-shaped AUV; Hydrodynamic coefficient; SST- k-ω turbulence model; Numerical simulation; Planar motion mechanism; Sliding mesh technique; Rotating domain method; Towing-tank validation
分类号:
-
DOI:
10.1007/s11804-026-00843-4
Abstract:
This study numerically determines hydrodynamic coefficients of a torpedo-shaped autonomous underwater vehicle (AUV) using the shear stress transport k-ω turbulence model in COMSOL Multiphysics. Linear and nonlinear coefficients are extracted via steady-state simulations (uniform linear motion, uniformly accelerated motion, and horizontal/vertical oblique cruising) and transient simulations replicating planar motion mechanism (PMM) tests with small and large amplitudes. The sliding mesh and rotating domain techniques resolve unsteady flow characteristics during dynamic maneuvers. The methodology formalizes six-degree-of-freedom motion equations, with hydrodynamic coefficients identified through regression analysis of simulated force/moment data. Experimental validation via towing-tank testing demonstrates agreement between numerical predictions and empirical measurements, particularly in capturing nonlinear hydrodynamic effects during large-amplitude PMM maneuvers. The framework maintains geometric generality for application to diverse AUV configurations. Resultant hydrodynamic databases improve the motion prediction accuracy in dynamic environments, enhance attitude control algorithm robustness, and support hull optimization through parametric drag analysis. The hydrodynamic database established significantly improves the maneuverability prediction accuracy under turbulent marine conditions.

References:

[1] Ahmed F, Xiang X, Jiang C, Xiang G, Yang S (2023) Survey on traditional and AI based estimation techniques for hydrodynamic coefficients of autonomous underwater vehicle. Ocean Engineering 268: 113300. https://doi.org/10.1016/j.oceaneng.2022.113300
[2] Ahmed F, Xiang X, Wang H, Xiang G, Yang S (2024) CFD-based lift and drag estimations of a novel flight-style AUV with bow-wings: Insights from drag polar curves and thrust estimations. Journal of Marine Science and Application 23: 352-365. https://doi.org/10.1007/s11804-024-00420-7
[3] Allotta B, Costanzi R, Pugi L, Ridolfi A (2018) Identification of the main hydrodynamic parameters of Typhoon AUV from a reduced experimental dataset. Ocean Engineering 147: 77-88.https://doi.org/10.1016/j.oceaneng.2017.10.032
[4] Baskar S, Antony Raj JC, Veeraperumal Senthil Nathan JP, Vinayagam G, Sourirajan L, Arputharaj BS, Singh S, Rajendran P, Madasamy SK, Raja V (2025) Design and advanced computational investigations on fixed wing unmanned amphibious vehicle adopted with hybrid NIHT and PVEH patches for long endurance-based applications. Journal of the Brazilian Society of Mechanical Sciences and Engineering 47: article number 25.https://doi.org/10.1007/s40430-024-05309-8
[5] Benjamin J, Eric G (2005) CFD-based method for simulation of marine-vehicle maneuvering. 35th AIAA Fluid Dynamics Conference and Exhibit. Toronto: AIAA AIAA 2005-4904. https://doi.org/10.2514/6.2005-4904
[6] Cavallo E, Michelini RC, Filaretov VF (2004) Conceptual design of an auv equipped with a three degrees of freedom vectored thruster. Journal of Intelligent and Robotic Systems 39: 365-391. https://doi.org/10.1023/B:JINT.0000026081.75417.50
[7] Chen Q (2014) Unmanned underwater vehicle. Beijing: National Defense Industry Press 16-18
[8] COMSOL (2024a) CFD Module User’s Guide, COMSOL Multiphysics? v6.2. Stockholm: COMSOL. Available: https://doc.comsol.com/6.2/doc/com.comsol.help.cfd/CFDModuleUsersGuide.pdf
[9] COMSOL (2024b) COMSOL Multiphysics Reference Manual, Version 6.2. Stockholm: COMSOL. Available: https://doc.comsol.com/6.2/doc/com.comsol.help.comsol/COMSOL_ReferenceManual.pdf
[10] COMSOL (2024c) Convergence Plots, COMSOL Multiphysics? Reference Manual, Version 6.2. Stockholm: COMSOL. Available: https://doc.comsol.com/6.2/doc/com.comsol.help.comsol/comsol_ ref_solver.34.106.html
[11] COMSOL (2024d) Least-Squares Fit function, COMSOL Multiphysics? Reference Manual, Version 6.2. Stockholm: COMSOL. Available: https://doc.comsol.com/6.2/doc/com.comsol.help.comsol/comsol_ref_definitions.19.057.html
[12] Gibson SB, Stilwell DJ (2018) Hydrodynamic parameter estimation for autonomous underwater vehicles. IEEE Journal of Oceanic Engineering 45(2): 385-394. http://dx.doi.org/10.1109/JOE.2018. 2877489
[13] Hinze JO (1975) Turbulence. New York: McGraw-Hill Publishing Co
[14] Hong L, Wang X, Zhang D, Xu H (2022) Numerical study on hydrodynamic coefficient estimation of an underactuated underwater vehicle. Journal of Marine Science Engineering 10(8): 1049. https://doi.org/10.3390/jmse10081049
[15] Hong L, Fang R, Cai X, Wang X (2021) Numerical investigation on hydrodynamic performance of a portable AUV. Journal of Marine Science Engineering 9(8): 812. https://doi.org/10.3390/jmse9080812
[16] Hussain B, Hussain A, Qureshi MA, Ansari SA, Ali Tariq M, Khan JA, Khan MT (2025) CFD study for the effect of eyebrow forward planes on dynamic stability of unmanned underwater vehicle with different stern forms. Marine Systems & Ocean Technology 20:article number 24. https://doi.org/10.1007/s40868-025-00169-w
[17] ITTC (2017) Practical guidelines for CFD applications. Zurich: ITTC. https://www.ittc.info/media/1357/75-03-02-03.pdf
[18] Jentzsch M, Schmidt HJ, Woszidlo R, Nayeri CN, Paschereit CO (2021) Challenges and procedures for experiments with steady and unsteady model velocities in a water towing tank. Experiments in Fluids, 62: article number 74. https://doi.org/10.1007/s00348-021-03151-5
[19] Kim H, Akimoto H, Islam H (2015) Estimation of the hydrodynamic derivatives by RaNS simulation of planar motion mechanism test. Ocean Engineering 108: 129-139. https://doi.org/10.1016/j.oceaneng.2015.08.010
[20] Launder BE, Spalding DB (1974) The numerical computation of turbulent flows. Computer Methods in Applied Mechanics and Engineering 3(2): 269-289. https://doi.org/10.1016/0045-7825(74)90029-2
[21] Lee SK, Joung TH, Cheo SJ, Jang TS, Lee JH (2011) Evaluation of the added mass for a spheroid-type unmanned underwater vehicle by vertical planar motion mechanism test. International Journal of Naval Architecture and Ocean Engineering 3(3): 174-180. http://dx.doi.org/10.2478/IJNAOE-2013-0060
[22] Li XC, Li WK (2023) Numerical simulation of portable AUV hydrodynamic coefficient. Ship Science and Technology 45(3): 61-65. https://doi.org/10.3404/j.issn.1672-7649.2023.03.011
[23] Liang W, Yang C, Cao J, Yuan T, Zhou T (2022) Investigations of teaching approach on fundamentals of fluid mechanics used by COMSOL. Automobile Applied Technology 47: 161-163. https://dx.doi.org/10.16638/j.cnki.1671-7988.2022.015.032
[24] Liu JX, Yu F, Yan TH, He B, Guedes Soares C (2024) CFD-driven physics-informed generative adversarial networks for predicting AUV hydrodynamic performance. Ocean Engineering 313(Part 3): 119638. https://doi.org/10.1016/j.oceaneng.2024.119638
[25] Liu HL, Huang TT (1998) Summary of DARPA SUBOFF experimental program data. Technical Report. Naval Surface Warfare Center Carderock Div Bethesda Md Hydromechanics. Bethesda MD
[26] Lin Y, Guo J, Li HN, Zhu H, Huang H, Chen Y (2022) Study on the motion stability of the autonomous underwater helicopter. Journal of Marine Science Engineering 10(1): 60. https://doi.org/10.3390/jmse10010060
[27] Lu Y, Yuan JP, Si QR, Tian D, Liu J (2023) Study on the optimal design of a shark-like shape auv based on the CFD method. Journal of Marine Science Engineering 11(10): 1869. https://doi.org/10.3390/jmse11101869
[28] Ma XY, Zou L, Hu YJ, Yu Z, Gao Y, Wang X (2025) Experimental study on influencing factors of force change of slender submerged body under internal solitary wave. Ocean Engineering 316: 119897. https://doi.org/10.1016/j.oceaneng.2024.119897
[29] Menter FR (1994) Two-equation eddy-viscosity turbulence models for engineering applications. AIAA Journal 32(8): 1598. https://doi.org/10.2514/3.12149
[30] Menter FR,Langtry RB, Likki SR, Suzen YB, Huang PG, Völker S (2004) A correlation-based transition model using local variables—Part I: Model formulation. Journal of Turbomachinery 413-422. https://doi.org/10.1115/1.2184352
[31] Mitra A, Panda JP, Warrior HV (2020) Experimental and numerical investigation of the hydrodynamic characteristics of autonomous underwater vehicles over sea-beds with complex topography. Ocean Engineering 198: 106978. http://dx.doi.org/10.1016/j.oceaneng.2020.106978
[32] Mohamad R, Miralam M (2022) Combining CFD, ASE, and HEKF approaches to derive all of the hydrodynamic coefficients of an axisymmetric AUV. Proceedings of the Institution of Mechanical Engineers, Part M: Journal of Engineering for the Maritime Environment, 236(2): 474-492. https://doi.org/10.1177/14750 902211034361
[33] Phillips A, Furlong M, Turnock SR (2007) The use of computational fluid dynamics to determine the dynamic stability of an autonomous underwater vehicle. Available online: https://eprints.soton.ac.uk/48786/1/ABP_NUTTS.pdf (accessed on 26 July 2022)
[34] Qin D, Huang Q, Pan G, Shi Y, Li F, Han P (2022) Numerical simulation of hydrodynamic and noise characteristics for a blended-wing-body underwater glider. Ocean Engineering 252: 111056. https://doi.org/10.1016/j.oceaneng.2022.111056
[35] Roache PJ (1998) Verification and validation in computational science and engineering. Albuquerque, NM:Hermosa Publishers
[36] Schultz MP (2007) Effects of coating roughness and biofouling on ship resistance and powering. Biofouling 23(5): 331-341. https://doi.org/10.1080/08927010701461974
[37] Shadlaghani A, Mansoorzadeh S (2016) Calculation of linear damping coefficients by numerical simulation of steady state experiments. Journal of Applied Fluid Mechanics 9(2): 653-660. https://doi.org/10.18869/acadpub.jafm.68.225.24342
[38] Shi DS (2021) Submarine operability. Beijing:National Defense Industry Press
[39] Shih TH, Liou WW, Shabbir A (1995) A new k-ε eddy viscosity model for high Reynolds number turbulent flows. Computers & Fluids 24(3): 227-238. https://doi.org/10.1016/0045-7930(94)00032-T
[40] Wang XH, Wang YH, Wang P, Niu W, Yang S, Luo C (2023) Sailing efficiency optimization and experimental validation of a Petrel long-range autonomous underwater vehicle. Ocean Engineering 281: 114604. https://doi.org/10.1016/j.oceaneng.2023.114604
[41] Wang G, Wang Y, Yang M, Yang S (2024) Design and motion performance of a novel variable-area tail for underwater gliders. IEEE/ASME Transactions on Mechatronics 30(3): 2132-2143. https://doi.org/10.1109/TMECH.2024.3424308
[42] Wilcox DC (2006) Turbulence modeling for CFD. 2nd ed. La Cañada:DCW Industries, Inc
[43] Wilcox DC (2008) Formulation of the k-ω Turbulence model revisited. AIAA Journal 46(11): 2823. https://doi.org/10.2514/1.36541
[44] Wilmott P (1988) On the motion of a slender body submerged beneath surface waves. Journal of Ship Research 32(3): 208-219. https://doi.org/10.5957/jsr.1988.32.3.208
[45] Wu J, Yang X, Xu S, Han X (2022) Numerical investigation on underwater towed system dynamics using a novel hydrodynamic model. Ocean Engineering 247: 110632. http://dx.doi.org/10.1016/j.oceaneng.2022.110632
[46] Yang M, Wang YH, Yang SQ, Zhang L, Deng J (2021) Shape optimization of underwater glider based on approximate model technology. Applied Ocean Research 110: 102580. https://doi.org/10.1016/j.apor.2021.102580
[47] Ye PC, Zhang H, Shi Y, Huang Q, Pan G, Qin D (2024) The blockage effect on resistance coefficients estimation for AUVs with different configurations in the towing tank. Journal of Marine Science and Engineering 12(9): 1532. https://doi.org/10.3390/jmse12091532
[48] Zhang Z, Zhang X (2021) Course-keeping with roll damping control for ships using rudder and fin. Journal of Marine Science and Technology 26: 872-882. https://doi.org/10.1007/s00773-020-00779-6
[49] Zhu CZ, Fu JL, Xiao DH, Wang J (2025) Nonlinear model order reduction of engineering turbulence using data-assisted neural networks. Computer Physics Communications 309:109501. https://doi.org/10.1016/j.cpc.2025.109501
[50] Zou L, Larsson L (2013) Computational fluid dynamics (CFD) prediction of bank effects including verification and validation. Journal of Marine Science and Technology 18: 310-323. https://doi.org/10.1007/s00773-012-0209-7

Memo

Memo:
Received date:2025-3-12;Accepted date:2025-11-20。<br>Foundation item:Supported by the Natural Science Foundation of Top Talent of SZTU (Grant No. GDRC202203); the Shenzhen Science and Technology Program (Grant No. JCYJ20241202124703004); the Natural Science Foundation of Top Talent of SZTU (Grant No.GDRC202407); the Shenzhen Science and Technology Program (Grant No. KCXFZ20240903092603005); the Guangdong Provincial Engineering Technology Research Center for Materials for Advanced MEMS Sensor Chip (Grant No. 2022GCZX005); the Shenzhen Science and Technology Program (Grant No. KIZD20230923114117032).<br>Corresponding author:Haichuan Zhang,E-mail:zhanghaichuan@sztu.edu.cn
Last Update: 2026-11-04