Volume 38 Issue 1
Nov.  2017
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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

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

doi: 10.11883/bzycj-2017-0024
  • Received Date: 2017-01-17
  • Rev Recd Date: 2017-03-02
  • Publish Date: 2018-01-25
  • 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.
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  • [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
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