[1] BENNAYA M, ZHANG W P, HEGAZE M M. Estimation of the induced hydrodynamic periodic forces of marine propeller under non-uniform inflow via CFD[J]. Applied Mechanics and Materials, 467, 293-299(2013).

[2] LIN Y H, LI X C. The investigation of a sliding mesh model for hydrodynamic analysis of a SUBOFF model in turbulent flow fields[J]. Journal of Marine Science and Engineering, 8, 744(2020).

[3] ASHOK A, VAN BUREN T, SMITS A J. The structure of the wake generated by a submarine model in yaw[J]. Experiments in Fluids, 56, 123(2015).

[4] [4] HUANG T, LIU H L. Measurements of flows over an axisymmetric body with various appendages in a wind tunnel: the DARPA SUBOFF experimental program[C]Proceedings of 19th Symposium on Naval Hydrodynamics. Seoul: National Academy Press, 1992: 23–28.

[5] JIMÉNEZ J M, HULTMARK M, SMITS A J. The intermediate wake of a body of revolution at high Reynolds numbers[J]. Journal of Fluid Mechanics, 659, 516-539(2010).

[6] JIMÉNEZ J M, REYNOLDS R T, SMITS A J. The effects of fin axials on the intermediate wake of a submarine model[J]. Journal of Fluids Engineering, 132, 031102(2010).

[8] GUO H, GUO C Y, HU J et al. Influence of jet flow on the hydrodynamic and noise performance of propeller[J]. Physics of Fluids, 33, 065123(2021).

[10] LIU Z H, XIONG Y, TU C X. Numerical simulation and control of horseshoe vortex around an appendage–body junction[J]. Journal of Fluids and Structures, 27, 23-42(2011).

[12] DIVSALAR K. Improving the hydrodynamic performance of the SUBOFF bare hull model: a CFD approach[J]. Acta Mechanica Sinica, 36, 44-56(2020).

[15] RAHMANI M, JAFARI GAVZAN I, DEHGHAN MANSHADI M. Experimental investigation of the effect of sail geometry on the flow around the SUBOFF submarine model inspired by the dolphin's dorsal fin axial[J]. Ships and Offshore Structures, 19, 769-778(2024).

[18] BEIGI S M, SHATERI A, MANSHADI M D. Experimental study of the submarine's wake improvement by displacement of stern planes[J]. Ships and Offshore Structures, 17, 2103-2115(2022).

[20] XIAO X, LIANG Q F, KE L et al. Effects of X tail fin axial area on the horizontal mechanical properties and wake flow field of submarines[J]. Journal of Physics: Conference Series, 2095, 012089(2021).

[22] [22] TOXOPEUS S, KUIN R, KERKVLIET M, et al. Improvement of resistance wake field of an underwater vehicle by optimising the fin axialbody junction flow with CFD[C]Proceedings of the 33rd International Conference on Ocean, Offshe Arctic Engineering. San Francisco: ASME, 2014: V002T08A046.

[24] [24] ITTC. ITTC–recommended procedures guidelines[C]Proceedings of the 25th International Towing Tank Conference. Fukuoka, Japan: ITTC, 2008.

[25] [25] VAN DER PLOEG A. Object functions f optimizing a ship''s aft body[C]Proceedings of the 11th International Conference on Computer IT Applications in the Maritime Industries (COMPIT), Liege, Belgium, 2012: 494–507.

[26] [26] RASMUSSEN C E, WILLIAMS C K I. Gaussian processes f machine learning[M]. Cambridge, MA: The MIT Press, 2006.