The dynamic procedure for LES performed solely in physical space (i.e.,no Fourier transform) is considered. It amounts to a procedure working at the force (vector) level that is natural and quite general: it only requires a numerical tool for restriction of the discrete LES field and forces to a coarser level. It is here investigated using finite differences and with restriction done by sampling. It gives good results on flows with homogenous directions: Burger’s turbulence and homogeneous isotropic turbulence. Preliminary results on the turbulent channel flow are also presented: they are encouraging but not yet satisfactory (velocity profile underpredicted). The obtained profile of CΔ2 is found to have the proper near and far wall behaviors,but with too low amplitude. Further improvements are required: they might include some filtering (using tensor-product stencil-3 discrete filters, also iterated) prior to the sampling, to mitigate the aliasing effects due to the sampling; they might also require to modify the procedure itself, following what was done by others when using the classical procedure expressed at the force level.
Winckelmans, G., Bricteux, L., & Georges, L. (2006). The sampling-based dynamic procedure for LES : investigations using finite differences. In Eric Lamballais, Rainer Friedrich, Bernard J. Geurts and Olivier Métais (ed.), Direct and Large-Eddy Simulation VI (p. 778). https://hdl.handle.net/2078.5/231019