Evolution of length scales and statistics of Richtmyer-Meshkov instability from direct numerical simulations

V. K. Tritschler, M. Zubel, S. Hickel, N. A. Adams

Research output: Contribution to journalArticleScientificpeer-review

24 Citations (Scopus)

Abstract

In this study we present direct numerical simulation results of the Richtmyer-Meshkov instability (RMI) initiated by Ma=1.05,Ma=1.2, and Ma=1.5 shock waves interacting with a perturbed planar interface between air and SF6. At the lowest shock Mach number the fluids slowly mix due to viscous diffusion, whereas at the highest shock Mach number the mixing zone becomes turbulent. When a minimum critical Taylor microscale Reynolds number is exceeded, an inertial range spectrum emerges, providing further evidence of transition to turbulence. The scales of turbulent motion, i.e., the Kolmogorov length scale, the Taylor microscale, and the integral length, scale are presented. The separation of these scales is found to increase as the Reynolds number is increased. Turbulence statistics, i.e., the probability density functions of the velocity and its longitudinal and transverse derivatives, show a self-similar decay and thus that turbulence evolving from RMI is not fundamentally different from isotropic turbulence, though nominally being only isotropic and homogeneous in the transverse directions.

Original languageEnglish
Article number063001
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume90
Issue number6
DOIs
Publication statusPublished - 1 Dec 2014
Externally publishedYes

Fingerprint

Dive into the research topics of 'Evolution of length scales and statistics of Richtmyer-Meshkov instability from direct numerical simulations'. Together they form a unique fingerprint.

Cite this