The subgrid-scale estimation model in the physical space representation

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Abstract
The subgrid-scale estimation procedure for large eddy simulations developed previously in the spectral (Fourier) representation is extended to the physical space representation. The procedure provides an estimate of the unfiltered velocity field appearing in the definition of the subgridscale stress tensor and consists of two steps. In the deconvolution step an approximate inversion of the filtering operation is performed. Subsequently, the nonlinear step is used to generate a range of subgrid scales on a mesh two times smaller than the mesh employed for a discretization of the resolved quantities. The modeling procedure is evaluated by comparing results of large eddy simulations of turbulent channel flow with the corresponding results of direct numerical simulations, experiments, and other large eddy simulations.