Volume 34 Issue 4
Sep.  2014
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Shi Ru-chao, Zhang Ya-jun, Xu Sheng-li. Simulation of expanding process of high pressure cylindrical bubblesin underwater explosion using RGFM and high accuracy schemes[J]. Explosion And Shock Waves, 2014, 34(4): 439-443. doi: 10.11883/1001-1455(2014)04-0439-05
Citation: Shi Ru-chao, Zhang Ya-jun, Xu Sheng-li. Simulation of expanding process of high pressure cylindrical bubblesin underwater explosion using RGFM and high accuracy schemes[J]. Explosion And Shock Waves, 2014, 34(4): 439-443. doi: 10.11883/1001-1455(2014)04-0439-05

Simulation of expanding process of high pressure cylindrical bubblesin underwater explosion using RGFM and high accuracy schemes

doi: 10.11883/1001-1455(2014)04-0439-05
Funds:  Supported bythe National Natural Science Foundation of China (10902110)
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  • Corresponding author: Shi Ru-chao, rcshi@mail.ustc.edu.cn
  • Received Date: 2012-12-10
  • Rev Recd Date: 2013-04-07
  • Publish Date: 2014-07-25
  • This paper presents a 3D numerical simulation of expanding process of high pressure cylindrical bubbles in underwater explosion. Level set method was used to track gas-water interface. The detail on precise definition of initial level set values of cylindrical bubble was also provided. The flow field was solved by Euler equation with fifth-order WENO spatial discretization and fourth-order R-K (Runge-Kutta) time discretization. HJ-WENO was employed to discretized level set equation. The flow states at grid nodes just next to gas-water interface were updated by RGFM algorithm. Pressure cloud pictures at different times, the shape changes of high pressure bubbles and pressure peak at given points were offered. Some interesting conclusions are concluded, as that high pressure cylindrical bubble becomes ellipsoidal gradually during expanding process, the expansion of bubbles nearby the wall is restricted in the normal by reflected wave, and expansion of double cylindrical bubbles is restricted by shock wave from each other. The numerical results also show excellent performance of RGFM and high accuracy scheme when applied to simulation of high pressure cylindrical bubbles expanding.
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