Proposed stochastic parameterisations of subgrid turbulence in large eddy simulations of turbulent channel flow

Vassili Kitsios, J.A. Sillero, Jorgen Frederiksen, Julio Soria

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Abstract

Stochastic and deterministic subgrid parameterisations are developed for the large eddy simulation (LES) of a turbulent channel flow with friction-velocity-based Reynolds number of Reτ = 950 and centreline-based Reynolds number of Re0 = 20,580. The subgrid model coefficients (eddy viscosities) are determined from the statistics of truncated reference direct numerical simulations (DNSs). The stochastic subgrid model consists of a mean-field shift, a drain eddy viscosity acting on the resolved field and a stochastic backscatter force of variance proportional to the backscatter eddy viscosity. The deterministic variant consists of a net eddy viscosity acting on the resolved field, which represents the net effect of the drain and backscatter. LES adopting the stochastic and deterministic models is shown to reproduce the time-averaged kinetic energy spectra of the DNS within the resolved scales.
Original languageEnglish
Pages (from-to)729 - 741
Number of pages13
JournalJournal of Turbulence
Volume16
Issue number8
DOIs
Publication statusPublished - 2015

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