Dynamic modeling in large‐eddy simulation of turbulent channel flow

Large‐eddy simulation (LES) of a turbulent channel flow is performed using different subfilter‐scale (SFS) models and test filter functions. The SFS models used are the dynamic Smagorinsky model (DSM) and the dynamic mixed model (DMM). The DMM is a linear combination between the scale‐similarity model and the DSM. The test filter functions investigated are the sharp cut‐off (in spectral space) and smooth filter that is commutative up to fourth‐order. The filters are applied either in the homogeneous directions or in all three spatial directions. The governing equations are discretized using a fourth‐order energy‐conserving finite‐difference scheme. The influence from the test filter function and the SFS model on the LES results are investigated and the effect of two‐dimensional versus three‐dimensional test filtering are investigated. The study shows that the combination of SFS model and filter function highly influences the computational results; even the effect on the zeroth‐order moment is large.

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