Numerical Simulation of Lenticular Aircraft during Water-skipping

doi:10.12382/bgxb.2023.0102

Abstract

Abstract:

Exploration of the motion and free water surface characteristics of the trans-media aircraft during the water skipping is of significant reference value for the research on the water landing and skipping re-flight problems. The motion and free water surface characteristics of trans-media aircraft during water-skipping are simulated based on the meshless particle method. The effects of different spin velocities, water-entry velocities and water-entry angles on the water-skipping of lenticular aircraft are studied based on the comparison with the experimental values. It is shown that the spin velocity is crucial to keep the smooth water-skipping for lenticular aircraft. The Magnus effect due to the spin velocity causes the lateral motion of lenticular aircraft. Water-skipping process generally includes three stages: stable fall, impact to water and skipping to smooth flight. The free water surface breakage and water burst phenomenon are caused by the impact from the aircraft. During the water skipping, the velocity decay rate and the impact load are less affected by the spin velocity, but mainly by the entry-water velocity and the entry-water angle. The larger the entry-water angle and entry-water velocity is, the greater the velocity decay rate and the impact load are.

Key words: lenticular aircraft, water-skipping, meshless particle method, trans-media, free water surface breakage

CLC Number:

TJ760.2

REN Fantao, NIU Yusen, JIANG Yi, YANG Baosheng. Numerical Simulation of Lenticular Aircraft during Water-skipping[J]. Acta Armamentarii, 2024, 45(5): 1482-1496.

Figures/Tables 27

Fig.1 Effective radius of particle

Fig.2 Geometric model of aircraft

Table 1 Geometric model parameters

参数	Pye Wacket	实验模型
质量m/kg	230.00	180.00
直径D/m	1.80	1.20
厚度h/m	0.23	0.23

Fig.3 The domain of numerical simulation calculation

Fig.4 Comparison of numerically simulated and experimental results

Fig.5 Comparison of cavitation evolution

Table 2 Water skipping process of particulate water surface

Table 3 Watwe surface rollover closure process

Fig.6 Water-entry velocity and angle graph of lenticular aircraft during skipping over the water smoothly

Table 4 Skipping condition of aircraft at different angular velocities

Table 5 Change in water surface at different moments at different angular velocities

Fig.7 Comparison of vertical load distributions at different angular velocities

Fig.8 Comparison curve of different angular velocities

Fig.9 Comparison curve of lateral motion parameters

Fig.10 Magnus effect of water skipping

Table 6 Variation in water surface at different moments at different entry-water velocities

Fig.11 Comparison curve of dimensionless velocity and water skipping depth under different entry-water velocities

Table 7 Water skipping conditions at different velocities

击水速度/(m·s^-1)	击水深度/cm	触水时间/ms
300	13.82	16.60
400	14.13	13.61
600	14.33	9.01

Fig.12 Comparison of vertical load distributions

Fig.13 Variation curve of lateral displacement

Fig.14 Contours distribution of motion parameter

Fig.15 Contours of angular momentum decay rate

Table 8 Variation in water surface at different moments ar different water-entry angles

Fig.16 Variation curve of dimensionless velocity vx/v

Table 9 Water skipping conditions at different angles

α/(°)	入水深度/cm	触水时间/ms	角动量衰减/‰
1	12.89	31.22	0.60
3	14.13	13.61	0.68
5	15.02	9.50	0.74

Fig.17 Comparison of vertical load distributions

Fig.18 Variation curve of lateral displacement

References 31

[11]	FU X Q, LI Y H, LU Y J, et al. Numerical simulation of two-dimensional plate skipping[J]. Acta Aeronautica et Astronautica Sinica, 2021, 42(6): 280-297. (in Chinese)
[12]	田北晨, 刘涛涛, 吴钦, 等. 跨介质飞行器触水滑跳运动特性数值模拟[J]. 兵工学报, 2022, 43(3):586-598. doi: 10.12382/bgxb.2021.0164
	TIAN B C, LIU T T, WU Q, et al. Numerical simulation on kinematic characteristics of trans-media aircraft during water-skipping[J]. Acta Armamentarii, 2022, 43(3):586-598. (in Chinese) doi: 10.12382/bgxb.2021.0164
[13]	邬明. LS-DYNA的ALE方法在圆盘击水滑跳中的应用[J]. 科学技术与工程, 2011, 11(33):8247-8251.
	WU M. Numerical simulation research on bounce of circular disks base on the ALE of LS-DYNA[J]. Science Technology and Engineering, 2011, 11(33):8247-8251. (in Chinese)
[14]	孙鹏楠. 物体与自由液面耦合作用的光滑粒子流体动力学方法研究[D]. 哈尔滨: 哈尔滨工程大学, 2018:2-5.
	SUN P N. Study on SPH method for the simulation of object free surface interactions[D]. Harbin:Harbin Engineering University, 2018:2-5. (in Chinese)
[15]	LIU M B, LI S M. On the modeling of viscous incompressible flows with smoothed particle hydro-dynamics[J]. Journal of Hydrodynamics, Ser. B, 2016, 28(5):731-745.
[16]	KHATTAK M J, KHATTAB A, RIZVI H R, et al. Imaged-based discrete element modeling of hot mix asphalt mixtures[J]. Materials and Structures, 2015, 48(8):2417-2430.
[17]	张智琅, 舒昌, 刘阳阳, 等. 多层斜冲击下冷喷增材制造的SPH模拟研究[J]. 中国科学:物理学力学天文学, 2022, 52(10): 78-90.
	ZHANG Z L, SHU C, LIU Y Y, et al. Numerical study of multilayer cold spray additive manufacturing with oblique impacting powders using the SPH method[J]. Scientia Sinica Physica, Mechanica & Astronomica, 2022, 52(10):78-90. (in Chinese)
[1]	GODDARD R T, EASTGATE J. Submersible aircraft concept design study[C]//Proceedings of the 11st International Conference on Fast Sea Transportation. Honolulu, HI, US: Naval Surface Warfare Center Carderock Division, 2011:813-820.
[2]	JOHNSON W. The ricochet of spinning and non-spinning spherical projectiles, mainly from water. Part II: an outline of theory and warlike applications[J]. International Journal of Impact Engineering, 1998, 21(1): 25-34.
[3]	裴譞, 张宇文, 李闻白, 等. 跨介质飞行器气/水两相弹道仿真研究[J]. 工程力学, 2010, 27(8):223-228.
	PEI X, ZHANG Y W, LI W B, et al. Simulation and anslysis on the gas/water two-phase ballistics of trans-media aircraft[J]. Engineering Mechanics, 2010, 27(8):223-228. (in Chinese)
[4]	YANG X, WANG T, LIANG J, et al. Survey on the novel hybrid aquatic-aerial amphibious aircraft: aquatic unmanned aerial vehicle (AquaUAV)[J]. Progress in Aerospace Sciences, 2015, 74(Apr.): 131-151.
[5]	MURPHY R R, STEIMLE E, GRIFFIN C, et al. Cooperative use of unmanned sea surface and micro aerial vehicles at hurricane wilma[J]. Journal of Field Robotics, 2008, 25(3):164-180.
[6]	李永利, 刘安, 冯金富, 等. 航行器小角度入水跳弹过程研究[J]. 兵工学报, 2016, 37(10):1860-1872. doi: 10.3969/j.issn.1000-1093.2016.10.013
	LI Y L, LIU A, FENG J F, et al. Research on ricochet process of small-angle water-entry vehicle[J]. Acta Armamentarii, 2016, 37(10):1860-1872. (in Chinese)
[7]	BOCQUET L, CLANET C. The mystery of the skipping stone[J]. Physics World, 2006, 19(2):29-31.
[8]	ROSELLINI L, HERSEN F, CLANET C, et al. Skipping stones[J]. Journal of Fluid Mechanics, 2005, 543:137-146.
[9]	CLANET C, HERSEN F, BOCUQURT L. Secrets of successful stone-skipping[J]. Nature, 2004, 427(6969):29.
[10]	BELDEN J, JANDRON M A, TRUSCOTT T T. Physics of elastic spheres skipping on water[C]//Proceedings of Physics of Sports. Paris, France: Ecole Polytechnique, 2012.
[11]	付晓琴, 李阳辉, 卢昱锦, 等. 二维平板水漂运动数值模拟[J]. 航空学报, 2021, 42(6):280-297.
[18]	HU D, LONG T, XIAO Y H, et al. Fluid-structure interaction analysis by coupled FE-SPH model based on a novel searching algorithm[J]. Computer Methods in Applied Mechanics and Engineering, 2014, 276(1):266-286.
[19]	田鑫, 万德成. MPS方法模拟三维圆柱形液舱晃荡问题[J]. 中国舰船研究, 2019, 14(3):116-121.
	TIAN X, WAN D C. Simulation of sloshing in three-dimensional cylindrical tank by MPS method[J]. Chinese Journal of Ship Research, 2019, 14(3):116-121. (in Chinese)
[20]	JANDAGHIAN M, SHAIBAEINIA A. An enhanced weakly-compressible MPS method for free-surface flows[J]. Computer Methods in Applied Mechanics and Engineering, 2020, 360:112771.
[21]	DUARTE C A, ODEN J T. An h-p adaptive method using clouds[J]. Computer Methods in Applied Mechanics and Engineering, 1996, 139(1):237-262.
[22]	徐泳, 孙其诚, 张凌, 等. 颗粒离散元法研究进展[J]. 力学进展, 2003, 33(2):251-260.
	XU Y, SUN Q C, ZHANG L, et al. Advances in discrete element methods for particulate matericals[J]. Advances in Mechanics, 2003(2):251-260. (in Chinese)
[23]	王哲, 邓迪, 万德成. 基于CFD方法的变张力柔性圆柱涡激振动数值模拟[J]. 水动力学研究与进展(A辑), 2019, 34(2): 201-209.
	WANG Z, DENG D, WAN D C. Numerical simulations of vortex-induced vibrations of flexible cylinder with varying tensions based on CFD method[J]. Chinese Journal of Hydrodynamics(A), 2019, 34(2):201-209. (in Chinese)
[24]	MARRONE S, COLAGROSSI A, ANTUONO M, et al. A 2D+t SPH model to study the breaking wave pattern generated by fast ships[J]. Journal of Fluids and Structures, 2011, 27(8): 1199-1215.
[25]	MARRONE S, BOUSCASSE B, COLAGROSSI A, et al. Study of ship wave breaking patterns using 3D parallel SPH simulations[J]. Computers & Fluids, 2012, 69:54-66.
[26]	王安文, 徐绯, 张岳青. SPH方法在液固撞击数值模拟中的应用[J]. 计算物理, 2012, 29(4):525-533.
	WANG A W, XU F, ZHANG Y Q. SPH method in numerical simulation of liquid-solid impact[J]. Chinese Journal of Computational Physics, 2012, 29(4):525-533. (in Chinese)
[27]	张宇, 王彬文, 刘小川. 基于ALE、CEL和SPH方法的球形破片高速冲击充液结构对比研究[J]. 计算力学学报, 2022, 36(6):824-831.
	ZHANG Y, WANG B W, LIU X C. Comparative study of fluid-filled structure impacted by high-speed spherical fragments based on ALE, CEL and SPH[J]. Chinese Journal of Computational Mechanics, 2022, 36(6):824-831. (in Chinese)
[28]	SHIBATA K, KOJI M, MASAHIRO K. Numerical modeling of gas-phase pressure, negative pressure and curl operator by the MPS method[C]//Proceedings of the Conference on Computational Engineering and Science. Tokyo, Japan: Japan Society for Computational Engineering and Science, 2012.
[29]	郭子涛. 弹体入水特性及不同介质中金属靶的抗侵彻性能研究[D]. 哈尔滨: 哈尔滨工业大学, 2012.
	GUO Z T. Research on characteristics of projectile water entry and ballistic resistance of targets under different mei-ums[D]. Harbin:Harbin Institute of Technology, 2012. (in Chinese)
[30]	孙士明, 郁伟, 王晓辉, 等. 基于多目标优化的跨介质航行体水面滑跳初始运动参数设计[J]. 兵工学报, 2024, 45(2):541-551. doi: 10.12382/bgxb.2022.0704
	SUN S M, YU W, WANG X H, et al. Initial kinematic parameters design of trans-medium vehicle skipping over water surface based on multi-objective optimization[J]. Acta Armamentarii, 2024, 45(2):541-551. (in Chinese)
[31]	LI Y. Three-dimensional numerical simulation of cavity dynamics of a stone with different spinning velocities[J]. International Journal of Multiphase Flow, 2020, 129(1):103339.