The ability of a finite volume Godunov and a semi-Lagrangian large-eddysimulation (LES) method to predict shock induced turbulent mixing has beenexamined through simulations of the half-height experiment [Holder and Barton.In: Proceedings of the international workshop on the physics of compressibleturbulent mixing, 2004]. Very good agreement is gained in qualitativecomparisons with experimental results for combined Richtmyer-Meshkov and Kelvin-Helmholtz instabilities in compressible turbulent multi-component flows. It isshown that both numerical methods can capture the size, location and temporalgrowth of the main flow features. In comparing the methods, there is variabilityin the amount of resolved turbulent kinetic energy. The semi-Lagrangian methodhas constant dissipation at low Mach number, thus allowing the initially smallperturbations to develop into Kelvin-Helmholtz instabilities. These aresuppressed at the low Mach stage in the Godunov method. However, there is anexcellent agreement in the final amount of fluid mixing when comparing bothnumerical methods at different grid resolutions.
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