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Our group is involved in the computation, analysis, and modeling of turbulent flows. The overall focus is on fundamental advances in numerical algorithms, and understanding of flow physics that allow the prediction of engineering turbulent flows. Traditionally high-fidelity simulation methods like direct numerical and large-eddy simulation have been restricted to fairly simple geometries. We are developing numerical methods and turbulence models that are flexible enough to handle engineering geometries without compromising the accuracy needed to simulate turbulence. Most of our simulations use unstructured grids on massively parallel computing platforms. We conduct research into applications ranging from incompressible propeller flows to supersonic shock/turbulence interaction, reacting multiphase flows in combustors, and flows involving plasmas.