Applied Mathematics and Mechanics (English Edition) ›› 2013, Vol. 34 ›› Issue (12): 1495-1512.doi: https://doi.org/10.1007/s10483-013-1762-6

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Numerical simulation of motion and deformation of ring bubble along body surface

倪宝玉1 张阿漫1 G. X. WU1,2   

  1. 1. College of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, P. R. China;
    2. Department of Mechanical Engineering, University College London, Torrington Place, London WC1E 7JE, U. K.
  • 收稿日期:2012-02-17 修回日期:2013-07-10 出版日期:2013-11-29 发布日期:2013-11-29

Numerical simulation of motion and deformation of ring bubble along body surface

 NI Bao-Yu1, ZHANG A-Man1, G. X. WU1,2   

  1. 1. College of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, P. R. China;
    2. Department of Mechanical Engineering, University College London, Torrington Place, London WC1E 7JE, U. K.
  • Received:2012-02-17 Revised:2013-07-10 Online:2013-11-29 Published:2013-11-29

摘要: Numerical simulation for fluid flow over an attached rigid body with a deformable ring bubble is analyzed based on the velocity potential theory together with the boundary element method (BEM). The analysis is focused on the axisymmetric case. The bubble surface is treated as a well defined air-liquid interface and is tracked by a mixed Eulerian-Lagrangian method. The points of intersection between the bubble and body are treated, specially in the numerical procedure. The auxiliary function method is adopted to calculate the pressure on the body surface and in the flow field. The convergence study is undertaken to assess the developed numerical method and the computation code. Some case studies are undertaken in which the interactions between the bubble/body and the incoming flow field are simulated. The effects of various physical parameters on the interactions are investigated.

关键词: bubble dynamics, moving boundary, axisymmetric flow, boundary element method

Abstract: Numerical simulation for fluid flow over an attached rigid body with a deformable ring bubble is analyzed based on the velocity potential theory together with the boundary element method (BEM). The analysis is focused on the axisymmetric case. The bubble surface is treated as a well defined air-liquid interface and is tracked by a mixed Eulerian-Lagrangian method. The points of intersection between the bubble and body are treated, specially in the numerical procedure. The auxiliary function method is adopted to calculate the pressure on the body surface and in the flow field. The convergence study is undertaken to assess the developed numerical method and the computation code. Some case studies are undertaken in which the interactions between the bubble/body and the incoming flow field are simulated. The effects of various physical parameters on the interactions are investigated.

Key words: null, bubble dynamics, moving boundary, axisymmetric flow, boundary element method

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