Anomalous scaling of structure functions and sub-grid models for large eddy simulations of strong turbulence

Details Anomalous scaling of structure functions and sub-grid models for large eddy simulations of strong turbulence Anomalous scaling of structure functions and sub-grid models for large eddy simulations of strong turbulence

2011-09-28

arxiv.org/abs/1109.6188v1

Physics

Fluid Dynamics

Scientific paper

The original goal of Large Eddy Simulations of fully developed turbulent flows was to accurately describe large-scale flow features ${\bf u}(\Delta)$ at the scales $r\geq \Delta$ where $\Delta$ is a size of computational mesh. The effect of small-scale velocity fluctuations ($r<\Delta$) was to be accounted for by effective transport coefficients (subgrid models) in the coarse-grained Navier-Stokes equations. It is shown in this paper that, due to anomalous inertial range scaling (intermittency) of the moments of velocity difference, the existing subgrid models are intrinsically incapable of quantitatively describing flow features at the scales $r

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