中国物理B ›› 2009, Vol. 18 ›› Issue (3): 1127-1135.doi: 10.1088/1674-1056/18/3/048

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The numerical study of shock-induced hydrodynamic instability and mixing

王涛1, 钟敏1, 柏劲松2, 李平2   

  1. (1)Institute of Fluid Physics, China Academy of Engineering Physics, Mianyang 621900, China; (2)Institute of Fluid Physics, China Academy of Engineering Physics, Mianyang 621900, China;National Laboratory for Shock Wave and Detonation Physics Research, Institute of Fluid Physics, China Academy of Engineering Physics, Mianyang 621900, China
  • 收稿日期:2008-01-01 修回日期:2008-08-04 出版日期:2009-03-20 发布日期:2009-03-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos 10672151 and 10772166), the Foundation of China Academy of Engineering Physics (Grant No 2008B0202011) and the Fundamental Quality and Reliability of National Defence Science

The numerical study of shock-induced hydrodynamic instability and mixing

Wang Tao(王涛)a)†, Bai Jing-Song(柏劲松)a)b), Li Ping(李平)a)b), and Zhong Min(钟敏)a)   

  1. a Institute of Fluid Physics, China Academy of Engineering Physics, Mianyang 621900, China; b National Laboratory for Shock Wave and Detonation Physics Research, Institute of Fluid Physics, China Academy of Engineering Physics, Mianyang 621900, China
  • Received:2008-01-01 Revised:2008-08-04 Online:2009-03-20 Published:2009-03-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos 10672151 and 10772166), the Foundation of China Academy of Engineering Physics (Grant No 2008B0202011) and the Fundamental Quality and Reliability of National Defence Science

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摘要： Based on multi-fluid volume fraction and piecewise parabolic method (PPM), a multi-viscosity-fluid hydrodynamic code MVPPM (Multi-Viscosity-Fluid Piecewise Parabolic Method) is developed and applied to the problems of shock-induced hydrodynamic interfacial instability and mixing. Simulations of gas/liquid interface instability show that the influences of initial perturbations on the fluid mixing zone (FMZ) growth are significant, especially at the late stages, while grids have only a slight effect on the FMZ width, when the interface is impulsively accelerated by a shock wave passing through it. A numerical study of the hydrodynamic interfacial instability and mixing of gaseous flows impacted by re-shocks is presented. It reveals that the numerical results are in good agreement with the experimental results and the mixing growth rate strongly depends on initial conditions. Ultimately, the jelly layer experiment relevant to the instability impacted by exploding is simulated. The shape of jelly interface, position of front face of jelly layer, crest and trough of perturbation versus time are given; their simulated results are in good agreement with experimental results.

关键词: interfacial instability, mixing, multi-fluid hydrodynamic, volume fraction

Abstract: Based on multi-fluid volume fraction and piecewise parabolic method (PPM), a multi-viscosity-fluid hydrodynamic code MVPPM (Multi-Viscosity-Fluid Piecewise Parabolic Method) is developed and applied to the problems of shock-induced hydrodynamic interfacial instability and mixing. Simulations of gas/liquid interface instability show that the influences of initial perturbations on the fluid mixing zone (FMZ) growth are significant, especially at the late stages, while grids have only a slight effect on the FMZ width, when the interface is impulsively accelerated by a shock wave passing through it. A numerical study of the hydrodynamic interfacial instability and mixing of gaseous flows impacted by re-shocks is presented. It reveals that the numerical results are in good agreement with the experimental results and the mixing growth rate strongly depends on initial conditions. Ultimately, the jelly layer experiment relevant to the instability impacted by exploding is simulated. The shape of jelly interface, position of front face of jelly layer, crest and trough of perturbation versus time are given; their simulated results are in good agreement with experimental results.

Key words: interfacial instability, mixing, multi-fluid hydrodynamic, volume fraction

中图分类号:  (Interfacial instabilities (e.g., Rayleigh-Taylor))

  • 47.20.Ma
47.51.+a (Mixing?) 47.11.-j (Computational methods in fluid dynamics) 47.55.Ca (Gas/liquid flows) 47.40.Nm (Shock wave interactions and shock effects)