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Numerical Simulation of R–M Instability

  • Fu Dexun
  • Ma Yanwan
  • Tian Baolin
Conference paper

Summary

In order to capture shock waves and contact discontinuities in the field and easy to program with parallel computation a new algorithm is developed to solve the N-S equations for simulation of R–M instability problems. The method with group velocity control is used to suppress numerical oscillations, and an adaptive non-uniform mesh is used to get fine resolution. Numerical results for cylindrical shock-cylindrical interface interaction with a shock Mach number Ms=1.2 and Atwood number A=0.818, 0.961, 0.980 (the interior density of the interface/outer density ρ 1/ρ 2 = 10, 50, 100, respectively), and for the planar shock-spherical interface interaction with Ms=1.2 and ρ 1/ρ 2 = 14.28 are presented. The effect of Atwood number and multi-mode initial perturbation on the R–M instability are studied. Multi-collisions of the reflected shock with the interface is a main reason of nonlinear development of the interface instability and formation of the spike-bubble structures In simulation with double mode perturbation vortex merging and second instability are found. After second instability the small vortex structures near the interface produced. It is important factor for turbulent mixing.

Keywords

Vortex Ring Incident Shock Contact Discontinuity Perturbation Amplitude Pressure Contour 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Fu DX, Ma YW. J. Compt. Phys. 134, 1997,1–15.zbMATHMathSciNetCrossRefGoogle Scholar
  2. 2.
    Haas JF, Sturteavant B. J. Fluid Mech. 181,1987, 41–76CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Fu Dexun
    • 1
  • Ma Yanwan
    • 1
  • Tian Baolin
    • 1
  1. 1.LNM Institute of MechanicsChinese Academy of SciencesBeijingChina

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