Abstract
A model based on incremental scales is applied to LES of incompressible turbulent channel flow. With this approach, the resolved scales are decomposed into large and incremental scales; the incremental scales have a larger (two times) spectral support than the large ones. Both velocity components are advanced in time by integrating their respective equations. At every time step and point in the wall normal direction, the one-dimensional energy spectra of the incremental scales are corrected in order to fit the slopes of the corresponding large scale spectra. LES of turbulent channel flow at two different Reynolds numbers are conducted. Results for both simulations are in good agreement with filtered DNS data. A significant improvement is shown compared to simulations with no model at the same low resolutions as the LES. The computational cost of the incremental method is similar to that of a Galerkin approximation on the same grid.
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