Free-Lagrange Simulations of Shock/Bubble Interaction in Shock Wave Lithotripsy

  • Ahmad R. Jamaluddin
  • Graham J. Ball
  • Timothy G. Leighton


A Free-Lagrange CFD code is used to model the near-field interactions between a lithotripter shock wave and a single spherical air bubble in water in axisymmetric form. The shock wave interaction causes the bubble to collapse and undergo jetting which consequently generates a blast wave into the surrounding water due to a liquid-liquid impact. Following impact, the bubble attains a toroidal shape and undergoes subsequent expansion and collapse. A detailed description of the shock/bubble interaction event is given, which includes both primary and secondary collapse. Near-field pressure-time histories are presented.


Vortex Cavitation Acoustics Photography Timothy 


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  1. 1.
    AJ Coleman, JE Saunders, LA Crum, M. Dyson: Ultrasound Med. Biol. 13/2, 69–76 (1987)Google Scholar
  2. 2.
    CC Church: J. Acoust. Soc. Am. 86/1, 215–227 (1989)Google Scholar
  3. 3.
    A. Phillip, W. Lauterborn: J. Fluid Mech. 361, 75–116 (1998)ADSCrossRefGoogle Scholar
  4. 4.
    N.K. Bourne, J.E. Field: J. Fluid Mech. 244, 225–240 (1992)ADSCrossRefGoogle Scholar
  5. 5.
    L.A. Crum: J. Urol. 140, 1587–1590 (1988)Google Scholar
  6. 6.
    D. Howard, B. Sturtevant: Ultrasound Med. Biol. 23 1107–1122 (1997)CrossRefGoogle Scholar
  7. 7.
    AJ Coleman, MJ Choi, JE Saunders, TG Leighton: Ultrasound Med. Biol. 18/3, 267–281 (1992)Google Scholar
  8. 8.
    K.B. Cunningham, A.J. Coleman, T.G. Leighton, P.R. White: Acoustics Bulletin 26/5 10–16 (2001)Google Scholar
  9. 9.
    P. Zhong, I. Cioanta, F.H. Cocks, G.M. Preminger: J. Acoust. Soc. Am. 101/5, 2940–2950 (1997)Google Scholar
  10. 10.
    G.J. Ball: Shock Waves 5, 311–325 (1996)ADSMATHCrossRefGoogle Scholar
  11. 11.
    B.P. Howell, G.J. Ball: Shock Waves 10, 253–264 (2000)ADSMATHCrossRefGoogle Scholar
  12. 12.
    G.J. Ball, B.P. Howell, T.G. Leighton, M.J. Schofield: Shock Waves 10, 265–276 (2000)ADSMATHCrossRefGoogle Scholar
  13. 13.
    T.B Benjamin, A.T. Ellis: Phil. Trans. R. Soc. Lond. A260 221–240 (1966)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Ahmad R. Jamaluddin
    • 1
  • Graham J. Ball
    • 2
  • Timothy G. Leighton
    • 3
  1. 1.School of Engineering SciencesUniversity of SouthamptonHighfieldUK
  2. 2.Aldermaston, ReadingAtomic Weapons EstablishmentUK
  3. 3.Institute of Sound and Vibration ResearchUniversity of SouthamptonHighfieldUK

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