Numerical Study on Turbulence mixing of Planar Shock Accelerated Triangular Heavy Gases Interface

来源 :2016海峡两岸流体力学研讨会 | 被引量 : 0次 | 上传用户:hecheng555
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  The interaction of a planar shock wave with a sulfur hexafluoride (SF 6 ) triangular surrounded by air is numerically studied based on high resolution finite volume method with Minimum Dispersion and Controllable Dissipation (MDCD) reconstruction. The vortex dynamics of Richtmyer-Meshkov instability (RMI) and the turbulent mixing during the evolution of Kelvin–Helmholtz instability (KHI) are discussed. The typical processes of shock driven interfacial instability until turbulent mixing transition are identified in this study. The spectral analysis of turbulent kinetic energy (TKE) shows that the merging process of the primary Kelvin–Helmholtz billows will extend the region with a ;broadband spectrum of motion, and consequently, enhance the overall mixing of fluids. Both analysis of the TKE spectra and the variable-density energy spectra manifests the inertial range by the latter stages. Additionally, length scale analysis shows that the Liepmann-Taylor scale is decoupled from the inner-viscous scale during the evolution, which implies that there is a turbulent mixing transition. A further analysis of energy transfer in Fourier space indicates the nonlinear transfer term is of significance while the physical dissipation term is negligible. The detailed analysis for the nonlinear transfer term implies that the quadratic and pressure components are dominant terms, but the dilatation component is of less significance due to the weak compressibility. It is observed that the quadratic and pressure components tend to cancel each other in most part of the mixing region. The underlining mechanism is studied and its relation with the transition to turbulence is identified.
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