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The effects of initial conditions on the evolution of the Richtmyer-Meshkovinstability (RMI) at early to intermediate times are analysed, using numericalsimulations of an idealised version of recent shock tube experiments performedat the University of Arizona. The experimental results are bracketed byperforming both implicit large-eddy simulations of the high-Reynolds-numberlimit as well as direct numerical simulations (DNS) at Reynolds numbers lowerthan those observed in the experiments. Various measures of the mixing layerwidth, based on both the plane-averaged turbulent kinetic energy and volumefraction profiles are used to explore the effects of initial conditions on$\theta$ and are compared with the experimental results. The decay rate of thetotal fluctuating kinetic energy is also used to estimate $\theta$ based on arelationship that assumes self-similar growth of the mixing layer. Theestimates for $\theta$ range between 0.44 and 0.52 for each of the broadbandperturbations considered and are in good agreement with the experimentalresults. Overall, the results demonstrate important differences betweenbroadband and narrowband surface perturbations, as well as persistent effectsof finite bandwidth on the growth rate of mixing layers evolving from broadbandperturbations. Good agreement is obtained with the experiments for thedifferent quantities considered; however, the results also show that care mustbe taken when using measurements based on the velocity field to inferproperties of the concentration field.

Numerical Simulation of an Idealised Richtmyer-Meshkov Instability Shock Tube Experiment