Numerical comparative analysis of Richtmyer–Meshkov instability simulated by different SGS models

Abstract

The multi-mode Richtmyer–Meshkov instability is numerically simulated by the large-eddy simulation code MVFT (multi-viscous-flow and turbulence). The Vreman, dynamic Smagorinsky, and stretched-vortex models are used to model the subgrid-scale flux of turbulence transport in simulations. The calculated widths of turbulent mixing zones are all in good agreement with the experimental results, and there is a little difference among the different SGS models. However, the decay factors of turbulent kinetic energy differ significantly for different SGS models, with relative error up to about 50%. It is concluded that the dynamic Smagorinsky model and stretched-vortex model can both predict the energy backscatter, with the prediction of the former weaker, while after reshock, the dynamic Smagorinsky model is absolutely as dissipative as the Vreman model.