Grid-size dependence in the large-eddy simulation of Kolmogorov flow

Through the use of bath an a priori analysis of direct numerical simulation data and experiments with large eddy simulations, a non-Smagarinsky grid-size dependence is established for the Smargorinsky subgrid scale model for low numbers of resolved scales. It is shown that an increase in the Smagorinsky constant as the grid size is increased permits successful large-eddy simulations for cutoffs approaching the energy containing range of length scales. A detailed comparative analysis is made of the second order turbulence quantities as determined by the differently resolutioned large-eddy simulations.