Fluid-solid Coupling Numerical Simulation on Vertical Water Entry of Projectile at Low Subsonic Speed

doi:10.3969/j.issn.1000-1093.2018.03.018

Abstract

Abstract: A fluid-solid coupling calculation model of vertical water-entry of projectile at low subsonic speed is established based on multi-material arbitrary Lagrangian-Eulerian-Lagrangian coupling method. Compressibility effects in fluid mechanics are considered in the proposed model. The multi-medium coupling numerical calculation technology of cavity-fluid-projectile is used to simulate the vertical water entry of projectile. The curves of underwater depth and projectile velocity, and the times of cavity surface closure and cavity deep closure at different velocities of water entry are obtained. The evolutionary process of cavity and the phenomenon during high-speed water entry of projectile are stimulated. The acceleration, stress and strain responses of projectile are obtained, and the influence laws of velocity of water entry on the times of cavity surface closure and cavity deep closure are also obtained. The numerical results show good agreement with the calculated results of empirical formulas. The calculated results show that the proposed numerical method is reliable. Key

Key words: projectile, waterentry, fluid-solidcoupling, cavitysurfaceclosure, cavitydeepclosure, dragcoefficient

CLC Number:

TV131.2⁺9

HU Ming-yong， ZHANG Zhi-hong， LIU Ju-bin， MENG Qing-chang. Fluid-solid Coupling Numerical Simulation on Vertical Water Entry of Projectile at Low Subsonic Speed[J]. Acta Armamentarii, 2018, 39(3): 560-568.

References

［1］陈九锡，颜开. 用MAC方法计算平头物体垂直等速入水空泡［J］.水动力学研究与进展，1985 (1)：1-7.
CHEN Jiu-xi，YAN Kai. The calculation of vertical constant-speed water entry cavity of flat-nosed body using the MAC-method［J］.Advances in Hydrodynamics，1985 (1)：1-7.(in Chinese)
［2］叶取源. 锥头物体垂直入水空泡的发展和闭合［J］.水动力学研究与进展，1989 (2)：4-8.
YE Qu-yuan. Evolution and closure of cavity after vertical water entry of cone-head bodies［J］. Advances in Hydrodynamics，1989 (2)： 4-8. (in Chinese)
［3］龚凯.基于光滑质点水动力学(SPH)方法的自由表面流动数值模拟研究［D］.上海：上海交通大学，2009.
GONG Kai. A numerical study of free surface flow based on smoothed particle hydrodynamics(SPH) ［D］. Shanghai: Shanghai Jiao Tong University，2009. (in Chinese)
［4］魏卓慧，王树山，马峰. 刚性截锥形弹体入水冲击载荷［J］. 兵工学报，2010，31(1)：118-120.
WEI Zhuo-hui, WANG Shu-shan, MA Feng. Diving impact load of rigid truncated conical projectile［J］. Acta Armamentarii，2010，31(1)：118-120.(in Chinese)
［5］张珂，颜开，褚学森. 基于LBM方法的圆盘等速入水空泡的数值模拟［J］.船舶力学，2010，14(10)：1129-1133.
ZHANG Ke, YAN Kai, CHU Xue-sen. Numerical simulation of constant speed water-entry cavity based on LBM［J］. Journal of Ship Mechanics，2010，14(10)：1129-1133. (in Chinese)
［6］胡平超，张宇文，袁绪龙. 航行器垂直入水空泡特性与流体动力研究［J］.计算机仿真，2011，28(6)：5-8.
HU Ping-chao, ZHANG Yu-wen,YUAN Xu-long. Research on cavitation and hydrodynamic of vertical water-entry for supercavitating vehicles ［J］. Computer Simulation，2011，28(6)：5-8. (in Chinese)
［7］王聪，何春涛，权晓波.空气压强对垂直入水空泡影响的数值研究［J］.哈尔滨工业大学学报，2012，44(5)：14-19.
WANG Cong,HE Chun-tao,QUAN Xiao-bo. Numerical simulation of the influence of atmospheric pressure on water-cavity formed by cylinder with vertical water-entry［J］. Journal of Harbin Institute of Technology，2012，44(5)：14-19. (in Chinese)
［8］何春涛，王聪，闵景新，等. 回转体匀速垂直入水早期空泡数值模拟研究［J］.工程力学，2012，29(4)： 237-243.
HE Chun-tao,WANG Cong,MIN Jing-xin,et al. Numerical simulation of early air-cavity of cylinder cone with vertical water-entry［J］.Engineering Mechanics，2012，29(4)： 237-243. (in Chinese)
［9］杨衡，孙龙泉，龚小超，等.弹性结构入水砰击载荷特性三维数值模拟研究［J］.振动与冲击，2014，33（19）：28-34.
YANG Heng，SUN Long-quan，GONG Xiao-chao，et al. 3D numerical simulation of slamming load character for water entry of an elastic structure［J］. Journal of Vibration and Shock，2014，33（19）： 28-34. (in Chinese)
［10］杨衡，张阿漫，龚小超，等.不同头型弹体低速入水空泡试验研究［J］.哈尔滨工程大学学报，2014，35（9）：1060-1066.
YANG Heng，ZHANG A-man，GONG Xiao-chao，et al. Experimental study of the cavity of low speed water entry of different head shape projectiles ［J］. Journal of Harbin Engineering University，2014，35（9）：1060-1066. (in Chinese)
［11］孙钊，曹伟，王聪，等. 表面润湿性对球体入水空泡形态的影响研究［J］.兵工学报，2016，37(4)：670-676．
SUN Zhao,CAO Wei,WANG Cong,et al．Effect of surface wettability on cavitation of sphere during its water entry［J］. Acta Armamentarii，2016，37(4)：670-676．(in Chinese)
［12］马庆鹏，魏英杰，王聪，等.锥头圆柱体高速入水空泡深闭合数值模拟研究［J］.兵工学报，2014，35（9）：1451-1457.
MA Qing-peng，WEI Ying-jie，WANG Cong,et al. Numerical simulation of deep closure of high-speed water entry cavity of cone-cylinder［J］. Acta Armamentarii，2014，35（9）：1451-1457. (in Chinese)
［13］顾建农，张志宏，范武杰．旋转弹丸入水侵彻规律［J］.爆炸与冲击，2005，25(4)：341-349．
GU Jian-nong，ZHANG Zhi-hong,FAN Wu-jie．Experimental study on the penetration law for a rotating pellet entering water［J］. Explosion and Shock Waves，2005，25(4)：341-349．(in Chinese)
［14］顾建农，张志宏，王冲，等．旋转弹头水平入水空泡及弹道的实验研究［J］.兵工学报，2012，33(5)：540-544．
GU Jian-nong,ZHANG Zhi-hong,WANG Chong,et al．Experimental research for cavity and ballistics of a rotating bullet entraining water levelly［J］. Acta Armamentarii，2012，33(5)：540-544．(in Chinese)
［15］ Shiffman M，Spencer D C. The force of impact on a cone striking a water surface(vertical entry)［J］. Communications on Pure and Applied Mathematics，1951，4(4):379-417.
［16］ Miloh T. Wave slam on a sphere penetrating a free surface［J］. Journal of Engineering Mathematics，1981，15(3): 221-240.
［17］ Greenhow M. Wedge entry into initially calm water［J］. Applied Ocean Research，1987，9(4): 214-223.
［18］ Korobkin A A. Asymptotic theory of liquid-solid impact［J］. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences,1997，355(1724): 507-522.
［19］ Scolan Y M，Korobkin A A. Three-dimensional theory of water impact. Part 1. Inverse Wagner problem［J］. Journal of Fluid Mechanics，2001，440(41): 293-326.
［20］ Korobkin A A，Wu G X. Impact on a floating circular cylinder［J］. Proceedings of the Royal Society A:Mathematical, Physical and Engineering Sciences，2000，456(2002): 2489-2514.
［21］ Korobkin A A，Scolan Y M. Three-dimensional theory of water impact. Part 2. Linearized Wagner problem［J］. Journal of Fluid Mechanics，2006，549: 343-373.
［22］ Xu G D，Duan W Y，Wu G X. Numerical simulation of oblique water entry of an asymmetrical wedge［J］. Ocean Engineering，2008，35(16): 1597-1603.
［23］张劲生，张嘉钟，王聪，等．超空泡射弹结构响应的流固耦合仿真研究［J］.船舶力学，2011,15（7）：763-768.
ZHANG Jin-sheng，ZHANG Jia-zhong,WANG Cong,et al. FSI simulation on the structural response of a supercavitating projectile［J］. Journal of Ship Mechanics，2011,15（7）：763-768. (in Chinese)
［24］ Varas D， Zaera R，López-Puente J，et al. Numerical modeling of the hydrodynamic ram phenomenon［J］. International Journal of Impact Engineering，2009，36（3）：363-374.
［25］ Feli S，Asgari M R. Finite element simulation of ceramic/composite armor under ballistic impact［J］.Composites:Part B，2011，42（4）：771-780.

第39卷
第3期2018 年3月兵工学报ACTA
ARMAMENTARIIVol.39No.3Mar.2018

[1]	GAO Peng, WANG Fang, WANG Cong, NIU Wenyu. Design and Forming Performance of Eccentric Liner in D-shaped Charge [J]. Acta Armamentarii, 2024, 45(3): 720-730.
[2]	PEI Guiyan, NIE Jianxin, WANG Qiushi, JIAO Qingjie, DU Zhipeng, LI Ying. Study on Oblique Penetration of Metal Plate by Naval Gun Semi-armor-piercing Simulation Projectile [J]. Acta Armamentarii, 2024, 45(3): 731-743.
[3]	YIN Qiulin, CHEN Qi, WANG Zhongyuan, WANG Qinghai. Rapid Trajectory Planning for Glide-guided Projectiles in Single-gun Multi-shot Scenarios Considering Time-spatial Coordination [J]. Acta Armamentarii, 2024, 45(3): 798-809.
[4]	JIN Qiuyan, LIU Fuxiang, WANG Xinchun, LIU Xiao, MO Bo. The Control Strategy of Zenith-pass Singularity Problem Under the Roll-pitch Seeker Oblique Scheme [J]. Acta Armamentarii, 2024, 45(2): 628-640.
[5]	WANG Qinghai, CHEN Qi, WANG Zhongyuan, YIN Qiulin. Trajectory Programming of Laser-guided Projectile Considering the Attenuation Effect of Clouds [J]. Acta Armamentarii, 2024, 45(2): 474-487.
[6]	LIU Fang, XIAO Jinshi, WEI Jianming, ZHANG Zhiyang, WANG Cong. Interference Characteristics and Launch Sequence Optimization of Projectiles Launched Successively Underwater [J]. Acta Armamentarii, 2024, 45(1): 197-205.
[7]	LIU Haobang, SHI Xianming, ZHAO Mei, ZHANG Jianjun. Bayesian Estimation of Surface-to-Air Missile Hit Probability Based on Normal-inverse Wishart Distribution [J]. Acta Armamentarii, 2024, 45(1): 339-348.
[8]	HUANG Xuanning, LI Weibing, LI Wenbin, YIN Guixiang, GUO Tengfei. Experimental Research on the Characteristics of Behind-armor Debris from Explosively Formed Projectile Penetrating Targets of Different Materials [J]. Acta Armamentarii, 2024, 45(1): 58-68.
[9]	LIU Chang, LEI Hongbo, LIN Shiyao, FAN Shipeng, WANG Jiang. Firing Data Calculation Method for Laser Terminal Guidance Projectile Based on Multi-model Network [J]. Acta Armamentarii, 2023, 44(9): 2745-2755.
[10]	LIU Hongfu, HUANG Fenglei, BAI Zhiling, DUAN Zhuoping. Theoretical Model of Oblique Penetration of Rigid Projectiles into Concrete Targets at Attack Angles [J]. Acta Armamentarii, 2023, 44(8): 2381-2390.
[11]	MA Kun, LI Mingrui, CHEN Chunlin, YIN Lixin, FENG Na, SHEN Zikai. Influence of Stiffened Structure of Steel Plate on the Hypervelocity Penetration Ability of Cylindrical Projectile [J]. Acta Armamentarii, 2023, 44(8): 2441-2452.
[12]	ZHENG Yuanfeng, WANG Shipeng, LI Peiliang, ZHANG Yong, GE Chao. Combined Damage Behavior of Penetration and Blast of Reactive/Metal Tandem EFPs [J]. Acta Armamentarii, 2023, 44(8): 2273-2282.
[13]	WEI Xin, ZHANG Yunfeng, ZHAO Qifeng, SUI Yaguang, ZHANG Dezhi, ZHANG Qiancheng. Overload Characteristics of Rigid Projectile Impacting Honeycomb Structures at High Velocities [J]. Acta Armamentarii, 2023, 44(5): 1321-1329.
[14]	QIAN Lizhi, JIANG Bin’an, GUO Jiahui. Anti-High-Overload Design Method of Information Projectile [J]. Acta Armamentarii, 2023, 44(5): 1310-1320.
[15]	SHI Junfei, QIAN Linfang, CHEN Hongbin, FU Jiawei. High-Speed Impact Engraving Characteristics of Cased Telescoped Ammunition [J]. Acta Armamentarii, 2023, 44(3): 656-669.