Regularization modeling for large-eddy simulation

Details Regularization modeling for large-eddy simulation Regularization modeling for large-eddy simulation

2002-06-17

arxiv.org/abs/nlin/0206026v1

Nonlinear Sciences

Chaotic Dynamics

16 pages, 4 figures, submitted to Physics of Fluids

Scientific paper

10.1063/1.1529180

A new modeling approach for large-eddy simulation (LES) is obtained by combining a `regularization principle' with an explicit filter and its inversion. This regularization approach allows a systematic derivation of the implied subgrid-model, which resolves the closure problem. The central role of the filter in LES is fully restored, i.e., both the interpretation of LES predictions in terms of direct simulation results as well as the corresponding subgrid closure are specified by the filter. The regularization approach is illustrated with `Leray-smoothing' of the nonlinear convective terms. In turbulent mixing the new, implied subgrid model performs favorably compared to the dynamic eddy-viscosity procedure. The model is robust at arbitrarily high Reynolds numbers and correctly predicts self-similar turbulent flow development.

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