Large-eddy simulation (LES) is conducted of a coaxial jet flow configuration. This configuration was previously considered in the laboratory experiments at the Hypersonic Air-breathing Propulsion Branch at the NASA Langley Research Center (LaRC). It consists of a coaxial jet discharging into stagnant air with a main stream of He-O2 (95% helium and 5% oxygen by volume) and a coflow of air. The objective of this work is to investigate the performance of conventional LES models for supersonic flows. In the simulations, the filtered, compressible, 3-dimensional Nevier-Stokes equations for a multi-species system are solved. The subgrid scale closure is attained using the generalized Smagorinsky model and the dynamic model. The predicted results are assessed via comparison with data from the NASA LaRC