A new approach to LES based on explicit filtering

A new model for large eddy simulation is derived by considering a formal extension to the deconvolution method of Stolz et al. [Stolz, S., Adams, N., 1999. An approximate deconvolution procedure for large-eddy simulation. Phys. Fluids 11, 1699–1701] as interpreted in Mathew et al. [Mathew, J., Lechner, R., Foysi, H., Sesterhenn, J., Friedrich, R., 2003. An explicit filtering method for LES of compressible flows. Phys. Fluids 15(8), 2279–2289]. The new model terms are shown to reduce the error in approximating the governing differential equations, and are evaluated with a simple, additional filtering step. This approach holds special promise for compressible flows, which have several kinds of nonlinearities besides convection, because all nonlinearities are treated in a uniform, mathematically consistent way without recourse to heuristic modeling. The method was assessed by computing supersonic channel flows with passive scalar transport at high Reynolds numbers and found to give excellent results.