Scale-to-scale energy transfer in mixing flow induced by the Richtmyer-Meshkov instability

Han Liu and Zuoli Xiao
Phys. Rev. E 93, 053112 – Published 19 May 2016

Abstract

The Richtmyer-Meshkov instability (RMI) mixing flow induced by a planar shock wave of Mach 1.6 is investigated using direct numerical simulation method. Interfacial perturbations of different scales between air and sulfur hexafluoride are introduced to study the effect of the initial conditions. Focus is placed on the analysis of the scale-to-scale transfer of kinetic energy in both Fourier and physical spaces. The kinetic energy injected from the perturbation scales is transferred to both larger and smaller scales in an average sense within the inner mixing zone (IMZ) at early times and is mainly passed down into smaller scales at the late stage. The physical-space energy flux due to the subgrid-scale (SGS) stress is studied using a filtering approach in order to shed light on the physical origin of the scale-to-scale kinetic energy transfer. It is found that the pointwise SGS energy flux is highly correlated with the local spike and bubble structures in the IMZ. Moreover, it turns out that the mean SGS energy flux is mainly ascribed to the component in the direction of shock wave propagation. An analysis using the method of conditional averaging manifests that the generation of local SGS energy flux is associated with the property of the surrounding flow induced by quadrupolar or dipolar vortex structures.

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  • Received 8 September 2015

DOI:https://doi.org/10.1103/PhysRevE.93.053112

©2016 American Physical Society

Physics Subject Headings (PhySH)

Fluid Dynamics

Authors & Affiliations

Han Liu1 and Zuoli Xiao1,2,*

  • 1State Key Laboratory for Turbulence and Complex Systems, College of Engineering, Peking University, Beijing 100871, People's Republic of China
  • 2HEDPS and Center for Applied Physics and Technology, College of Engineering, Peking University, Beijing 100871, People's Republic of China

  • *Corresponding author: z.xiao@pku.edu.cn

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Issue

Vol. 93, Iss. 5 — May 2016

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