Shear-improved Smagorinsky model for large-eddy simulation of wall-bounded turbulent flows
By Emmanuel Lévêque, Federico Toschi, Liang Shao, Jean-Pierre Bertoglio. Journal of Fluid Mechanics, 2006
212 citations recorded by the source corpus.
A shear-improved Smagorinsky model is introduced based on results concerning mean-shear effects in wall-bounded turbulence. The Smagorinsky eddy-viscosity is modified as vT =(Csδ)2(|S|—|〈S〉|): the magnitude of the mean shear |〈S〉|is subtracted from the magnitude of the instantaneous resolved rate-of-strain tensor |S|; CS is the standard Smagorinsky constant and Δ denotes the grid spacing. This subgrid-scale model is tested in large-eddy simulations of plane-channel flows at Reynolds numbers Reτ = 395 and Reτ = 590. First comparisons with the dynamic Smagorinsky model and direct numerical simulations for mean velocity, turbulent kinetic energy and Reynolds stress profiles, are shown to be extremely satisfactory. The proposed model, in addition to being physically sound and consistent with the scale-by-scale energy budget of locally homogeneous shear turbulence, has a low computational cost and possesses a high potential for generalization to complex non-homogeneous turbulent flows.
Subfields: Computational Mechanics, Environmental Engineering
View Paper: https://www.semanticscholar.org/paper/5512704b74bd6749ffc9e52d3e385e516d0d96e7
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Citations in the corpus
- Using singular values to build a subgrid-scale model for large eddy simulations (2011, unknown): “[4] E.”
- Reynolds-stress-constrained large-eddy simulation of wall-bounded turbulent flows (2012, methodology): “(2.14) A similar decomposition is also employed by Schumann (1975), Moin & Kim (1982), Leveque et al. (2007) and Uribe et al. (2009).”