A hybrid DG-Monte Carlo FDF simulator

A new computational scheme is developed for large eddy simulation (LES) of turbulent reacting flows via the filtered density function (FDF) subgrid scale closure. This is a hybrid scheme, combining the discontinuous Galerkin (DG) Eulerian solver with a Lagrangian Monte Carlo FDF simulator. The methodology is shown to be suitable for LES, as a larger portion of the resolved energy is captured as the order of spectral approximation increases. The consistency and the overall performance of the DG-FDF solver and the realization of the simulated results are demonstrated via LES of a temporally developing mixing layer under both non-reacting and reacting conditions.