Modeling on the reflection and focusing process of the underwater explosion shock waves by an ellipsoidal reflector

GUO Rui; LIU Lei

doi:10.11883/bzycj-2017-0024

Volume 38 Issue 1

Nov. 2017

Turn off MathJax

Article Contents

Abstract

References

Article Navigation > Explosion And Shock Waves > 2018 > 38(1): 174-182

GUO Rui, LIU Lei. Modeling on the reflection and focusing process of the underwater explosion shock waves by an ellipsoidal reflector[J]. Explosion And Shock Waves, 2018, 38(1): 174-182. doi: 10.11883/bzycj-2017-0024

Citation:

GUO Rui, LIU Lei. Modeling on the reflection and focusing process of the underwater explosion shock waves by an ellipsoidal reflector[J]. Explosion And Shock Waves, 2018, 38(1): 174-182. doi: 10.11883/bzycj-2017-0024

Citation:

PDF( 2926 KB)

Modeling on the reflection and focusing process of the underwater explosion shock waves by an ellipsoidal reflector

doi: 10.11883/bzycj-2017-0024

GUO Rui^1
,,
LIU Lei²

1.
School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, China
2.
Department of Mechanical Engineering, Eindhoven University of Technology, Eindhoven 5600MB, The Netherlands

Received Date: 2017-01-17
Rev Recd Date: 2017-03-02
Publish Date: 2018-01-25

Abstract

Abstract

In the present study, based on the theories of shock wave propagation and nonlinear reflection and focusing, we modelled the reflection and focusing of the underwater explosion shock waves by an ellipsoidal reflector, where the shock wave characteristics in three stages, those of the free propagation, the reflection on the wall and the directional focusing, were discussed respectively, and the corresponding methods on the pressure calculation were introduced. It was found that the discretized calculation domain of the pressure field is determined by employing the approximate geometric equations of the wave fronts and normal lines. Further, the focusing process was simulated and verification was performed by comparison with experimental data, with explanations given. The results indicate that this model can predict the positive focusing pressure with a precision that satisfies engineering requirements, keeping most errors below 10% and draw the focusing process of the shock waves and induced tensile waves in some detail; that the ellipsoidal reflector can focus underwater shock waves efficiently, generating an efficient gain region near the dynamic focus and weakening the attenuation along the closely axial direction; and that the dynamic focus appear ideally in front of the geometric focus, but it is also possible to move backward and even pass the geometric focus, due to actual deformation and backward displacement of the reflector.
- underwater explosion,
- ellipsoidal reflector,
- pressure distribution,
- focusing,
- gain

FullText(HTML)

References(20)

References

[1]	CLURE S M, WEINBERGER T. Extracorporeal shock wave therapy: Clinical applications and regulation[J]. Clinical Techniques in Equine Practice, 2003, 2(4):358-367. doi: 10.1053/j.ctep.2004.04.007
[2]	李宁, 雷开卓, 黄建国, 等.水下冲击波聚焦声场非线性建模与分析[J].系统仿真学报, 2011, 23(1):61-64. http://d.wanfangdata.com.cn/Periodical_xtfzxb201101013.aspx LI Ning, LEI Kaizhuo, HUANG Jianguo, et al. Nonlinear modeling and analysis of underwater shock wave focusing sound field[J]. Journal of System Simulation, 2011, 23(1):61-64. http://d.wanfangdata.com.cn/Periodical_xtfzxb201101013.aspx
[3]	陈景秋, 韦春霞, 邓艇, 等.体外冲击波碎石技术的力学机理的研究[J].力学进展, 2007, 37(4):590-599. doi: 10.6052/1000-0992-2007-4-J2006-139 CHEN Jingqiu, WEI Chunxia, DENG Ting, et al. Studies on mechanical mechanism about stone comminution and tissue trauma in extracorporeal shock wave lithotripsy[J]. Advances in Mechanics, 2007, 37(4):590-599. doi: 10.6052/1000-0992-2007-4-J2006-139
[4]	RASSWEILER J J, KNOLL T, KÖHRMANN K U, et al. Shock wave technology and application: an update[J]. European. Urology, 2011, 59(5):784-796. doi: 10.1016/j.eururo.2011.02.033
[5]	MÜLLER H M. Focusing of shock waves in water by different ellipsoidal reflectors[C]//Proceedings of the 17th International Symposium on Shock Waves and Shock Tubes, Pennsylvania, USA, 1990: 143-148.
[6]	陈景秋.激波聚焦问题的CCW数值解[J].重庆大学学报, 1992, 15(2):27-31. http://www.cqvip.com/QK/92166X/199202/966939.html CHEN Jingqiu. Numerical solutions of shock wave focusing with CCW method[J]. Journal of Chongqing University, 1992, 15(2):27-31. http://www.cqvip.com/QK/92166X/199202/966939.html
[7]	韦春霞, 张永祥, 张晓艳, 等.球面压电式ESWL聚焦的实际焦点的数值分析[J].重庆大学学报, 2009, 32(1):21-26. doi: 10.11835/j.issn.1000-582X.2009.01.005 WEI Chunxia, ZHANG Yongxiang, ZHANG Xiaoyan, et al. Numerical analysis of the shpehrical surface piezoelectricity ceramics extracorporeal shock wave lithotripsy launch[J]. Journal of Chongqing University, 2009, 32(1):21-26. doi: 10.11835/j.issn.1000-582X.2009.01.005
[8]	雷开卓, 李宁, 黄建国, 等.椭球反射罩聚焦特性实验研究[J].西北工业大学学报, 2010, 28(2):102-106. http://industry.wanfangdata.com.cn/dl/Detail/Periodical?id=Periodical_xbgydxxb201001021 LEI Kaizhuo, LI Ning, HUANG Jianguo, et al. Experimental research on focusing characteristics of the concave ellipsoidal reflectors[J]. Journal of Northwestern Polytechnical University, 2010, 28(2):102-106. http://industry.wanfangdata.com.cn/dl/Detail/Periodical?id=Periodical_xbgydxxb201001021
[9]	TAIEB D, RIBERT G, HADJADJ A. Numerical simulations of shock focusing over concave surfaces[J]. AIAA Journal, 2010, 48(8):1739-1747. doi: 10.2514/1.J050199
[10]	OSHITA D, HAMID S, HOSSEINI R, et al. Time-resolved high-speed visualization and analysis of underwater shock wave focusing generated by a magnetic pulse compression unit[J]. IEEE Transactions on Plasma Science, 2012, 40(10):2395-2400. doi: 10.1109/TPS.2012.2187541
[11]	张振福. 水下冲击波聚焦的数值模拟与实验研究[D]. 长沙: 国防科技大学, 2012. http: //cdmd. cnki. com. cn/Article/CDMD-90002-1014048265. htm ZHANG Zhenfu. Numerical and experimental investigations on underwater shock wave focusing[D]. Changsha: National University of Defense Technology, 2012. http: //cdmd. cnki. com. cn/Article/CDMD-90002-1014048265. htm
[12]	COLEMAN A J, CHOI M J, SAUNDERS J E. Theoretical predictions of the acoustic pressure generated by a shock wave lithotripter[J]. Ultrasound in Medicine & Biology, 1991, 17(3):245-255.
[13]	HAMlLTON M F. Transient axial solution for the reflection of a spherical wave from a concave ellipsoidal mirror[J]. Journal of the Acoustical Society of America, 1993, 93(3):1256-1266. doi: 10.1121/1.405410
[14]	王鸿樟, 于洪斌, 黄平.连续球面波在凹椭球面上反射的聚焦声场[J].上海交通大学学报, 1996(1):65-69. http://www.cnki.com.cn/Article/CJFDTOTAL-SHJT601.011.htm WANG Hongzhang, YU Hongbin, HUANG Ping. Focused sound field due to reflection of spherical continuous wave from concave ellipsoidal surface[J]. Journal of Shanghai Jiaotong University, 1996(1):65-69. http://www.cnki.com.cn/Article/CJFDTOTAL-SHJT601.011.htm
[15]	CATES J E, STURTEVANT B. Shock wave focusing using geometrical shock dynamics[J]. Physics of Fluids, 1997, 9(10):3058-3068. doi: 10.1063/1.869414
[16]	ZHOU Y, ZHONG P. The effect of reflector geometry on the acoustic field and bubble dynamics produced by an electrohydraulic shock wave lithotripter[J]. Journal of the Acoustical Society of America, 2006, 119(6):3625-3636. doi: 10.1121/1.2195074
[17]	LIU L, GUO R, CHEN L, et al. A prediction model for two-dimensional pressure distribution from underwater shock wave focusing by an ellipsoidal reflector[J]. Journal of the Acoustical Society of America, 2016, 140(6):4506-4516. doi: 10.1121/1.4971327
[18]	COURANT R, FRIEDRCHS R. Supersonic flow and shock waves[M]. New York: Interscience Publishers Inc., 1956:327-331.
[19]	COLE R H. Underwater explosions[M]. Princeton: Princeton University Press, 1948:110-120.
[20]	CHURCH C C. A theoretical study of cavitation generated by an extracorporeal shock wave lithotripter[J]. Journal of the Acoustical Society of America, 1989, 86(1):218-227. http://www.ncbi.nlm.nih.gov/pubmed/2754108

Relative Articles

[1]	SUN He, YAN Ming, DU Zhipeng, ZHANG Lei. Distribution characteristics of underwater explosion damage to ships[J]. Explosion And Shock Waves, 2024, 44(6): 065102. doi: 10.11883/bzycj-2023-0370
[2]	XU Qingtao, MA Honghao, ZHOU Zhangtao, YANG Ke, SHEN Zhaowu. Pressure-time formula for underwater explosion based on pressure-impulse curve[J]. Explosion And Shock Waves, 2024, 44(8): 081445. doi: 10.11883/bzycj-2023-0442
[3]	DU Chuang, ZHANG Jiangpeng, ZHUANG Tieshuan, WU Jun, XU Wenxuan, ZHANG Tao. Pressure distribution and dynamic response of a submerged tunnel under explosion loading[J]. Explosion And Shock Waves, 2024, 44(5): 053202. doi: 10.11883/bzycj-2023-0255
[4]	XU Weizheng, ZHAO Hongtao, LI Yexun, HUANG Yu, FU Hua. An experimental study on dynamic response of cylindrical shell under near-field/contact underwater explosion[J]. Explosion And Shock Waves, 2023, 43(9): 091413. doi: 10.11883/bzycj-2023-0072
[5]	HUANG Chao, ZHANG Pan, ZENG Fan, XU Weizheng, WANG Jie, LIU Na. A method for adjusting and controlling underwater explosion shock wave[J]. Explosion And Shock Waves, 2022, 42(8): 083201. doi: 10.11883/bzycj-2021-0450
[6]	WEI Zihan, ZHAO Zhenyu, YE Fan, PEI Yiqun, WANG Xin, ZHANG Qiancheng, LU Tianjian. Resistance of all-metallic honeycomb sandwich structures to underwater explosion shock[J]. Explosion And Shock Waves, 2021, 41(8): 083104. doi: 10.11883/bzycj-2020-0392
[7]	DENG Yongjun, CHEN Xiaowei, ZHONG Weizhou, HE Liling. Experimental and numerical study on normal penetration of a projectile into a reinforced concrete target[J]. Explosion And Shock Waves, 2020, 40(2): 023101. doi: 10.11883/bzycj-2019-0001
[8]	DONG Qi, WEI Zhuobin, TANG Ting, LI Lingfeng, LIU Jinghan. Damage effects of caisson gravity wharf under underwater explosion[J]. Explosion And Shock Waves, 2019, 39(6): 065101. doi: 10.11883/bzycj-2018-0090
[9]	GONG Xiangfei, LIU Wentao, ZHANG Shudao, YANG Jiming. Numerical simulation of peak pressure in near-field underwater explosion[J]. Explosion And Shock Waves, 2019, 39(4): 041409. doi: 10.11883/bzycj-2017-0262
[10]	ZHANG Guifu, ZHU Yujian, YANG Jiming. A study on jet flow induced by underwater explosion at a pit-interface[J]. Explosion And Shock Waves, 2018, 38(2): 241-249. doi: 10.11883/bzycj-2016-0238
[11]	Lin Mou-jin, Ma Hong-hao, Shen Zhao-wu, Jiao Long. Effect of aluminum fiber on underwater detonation performance of RDX[J]. Explosion And Shock Waves, 2014, 34(3): 379-384. doi: 10.11883/1001-1455(2014)03-0379-06
[12]	Liu Yun-long, Wang Yu, Zhang A-man. Whipping responses of double cylindrical shell structures to underwater explosion based on DAA₂[J]. Explosion And Shock Waves, 2014, 34(6): 691-700. doi: 10.11883/1001-1455(2014)06-0691-10
[13]	LongRen-rong, FuYue-sheng, ZhangQing-ming. Alocationmethodforunderwaterexplosionsourceanderroranalysis[J]. Explosion And Shock Waves, 2013, 33(2): 181-185. doi: 10.11883/1001-1455(2013)02-0181-05
[14]	LI Wan, ZHANG Zhi-hua, ZHOU Feng, ZHANG Tao. Time-frequencycharacteristicsofshockresponsesofunderwatertarget tounderwaterexplosion[J]. Explosion And Shock Waves, 2012, 32(3): 309-315. doi: 10.11883/1001-1455(2012)03-0309-07
[15]	YANG Guo-liang, YANG Ren-shu, JIANG Lin-lin. Pressuredistributionalongboreholewithaxialair-deckchargeblasting[J]. Explosion And Shock Waves, 2012, 32(6): 653-657. doi: 10.11883/1001-1455(2012)06-0653-05
[16]	CHEN Er-yun, ZHAO Gai-ping, YANG Ai-ling. Numericalinvestigationonflowfieldcharacteristicsoftoroidalshockwaves focusinginacylindricaltube[J]. Explosion And Shock Waves, 2012, 32(3): 291-296. doi: 10.11883/1001-1455(2012)03-0291-06
[17]	ZHANG Wei, SHI Shao-hua. Researchonthesurfaceshipbiodynamicresponse subjectedtounderwaterexplosion[J]. Explosion And Shock Waves, 2011, 31(5): 521-527. doi: 10.11883/1001-1455(2011)05-0521-07
[18]	AN Feng-jiang, WU Cheng, WANG Ning-fei. Pressurecharacteristicsinthenearfieldofunderwaterexplosionfor cylindricalchargedirecteddetonation[J]. Explosion And Shock Waves, 2011, 31(5): 463-468. doi: 10.11883/1001-1455(2011)05-0463-06
[19]	SHI Hua-qiang, ZONG Zhi, JIA Jing-bei. Short-range characters of underwater blast waves[J]. Explosion And Shock Waves, 2009, 29(2): 125-130. doi: 10.11883/1001-1455(2009)02-0125-06
[20]	CHEN Er-yun, MA Da-wei, LE Gui-gao, ZHAO Gai-ping, ZHU Sun-ke. Diffraction, reflection and focusing of toroidal shock waves[J]. Explosion And Shock Waves, 2009, 29(2): 177-181. doi: 10.11883/1001-1455(2009)02-0177-05