Numerical simulations of a chemically reacting Richtmyer-Meshkov turbulent mixing layer

We report on results from detailed numerical simulations that capture the evolution through the Richtmyer-Meshkov instability of a multi-mode interface that initially separates a fuel (H$_{2})$ and a corresponding oxidizer (O$_{2})$. The three-dimensional simulations were carried out at a resolution of 512 x 512 x 3072 using a modified version of the FLASH code, capable of handling detailed H$_{2}$-O$_{2}$ combustion chemistry [1], temperature-dependent equation of state, and temperature-dependent molecular transport properties. The perturbation interface was initialized with ``alpha-group'' [2] type perturbations, and impacted by a Mach 1.2 incident shock travelling from the light (H$_{2})$ to heavy (O$_{2})$ fluid. We track several quantities through the linear, non-linear and turbulent stages of evolution, and make comparisons with the corresponding non-reacting flowfield from a separate set of simulations. The turbulent mixing layer is also subjected to reshock, which dramatically increases the combustion efficiency at the interface. \\[4pt] [1] Attal, N. et al., submitted to Computers and Fluids for review.\\[0pt] [2] Dimonte, G. et al., Phys. Fluids, 16, p. 1668, 2004.