Applied Mathematics and Mechanics

, Volume 33, Issue 6, pp 701–716 | Cite as

Numerical simulation of trajectory and deformation of bubble in tip vortex

  • Bao-yu Ni (倪宝玉)
  • A-man Zhang (张阿漫)Email author
  • Xiong-liang Yao (姚熊亮)
  • Bin Wang (汪 斌)


According to the behaviors of a bubble in the ship wake flow, the numerical simulation is divided into two stages, quasi-spherical motion and non-spherical motion, based on whether the bubble is captured by the vortex or not. The one-way coupled particle tracking method (PTM) and the boundary element method (BEM) are adopted to simulate these two stages, respectively. Meanwhile, the initial condition of the second stage is taken as the output of the first one, and the entire simulation is connected and completed. Based on the numerical results and the published experimental data, the cavitation inception is studied, and the wake bubble is tracked. Besides, the split of the bubble captured by the vortex and the following sub-bubbles are simulated, including motion, deformation, and collapse. The results provide some insights into the control on wake bubbles and optimization of the wake flow.

Key words

wake bubble tip vortex split reverse jet 

Chinese Library Classification


2010 Mathematics Subject Classification



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Copyright information

© Shanghai University and Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Bao-yu Ni (倪宝玉)
    • 1
  • A-man Zhang (张阿漫)
    • 1
    Email author
  • Xiong-liang Yao (姚熊亮)
    • 1
  • Bin Wang (汪 斌)
    • 2
  1. 1.College of Shipbuilding EngineeringHarbin Engineering UniversityHarbinP. R. China
  2. 2.National Key Laboratory of Shock Wave and Detonation Physics, Institute of Fluid PhysicsChina Academy of Engineering PhysicsMianyangSichuan Province, P. R. China

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