2007
DOI: 10.1017/s0022112006003429
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Shear-improved Smagorinsky model for large-eddy simulation of wall-bounded turbulent flows

Abstract: A shear-improved Smagorinsky model is introduced based on recent results concerning shear effects in wall-bounded turbulence by Toschi et al. (2000). The Smagorinsky eddyviscosity is modified as ν T = (C s ∆) 2 (|S|−| S |): the magnitude of the mean shear | S | is subtracted to the magnitude of the instantaneous resolved strain-rate tensor |S|; here C S is the standard Smagorinsky constant and ∆ denotes the grid spacing. This subgrid-scale model is tested in large-eddy simulations of plane-channel flows at Rey… Show more

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Cited by 172 publications
(123 citation statements)
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“…In the context of large-eddy simulations, this has been done with the shear-improved sub-grid-scale models in the Eulerian framework (Lévêque et al, 2007). Future ocean experiments focusing on the dispersion properties of tracers having vertical structures, such as the chlorophyll field, are needed to reveal more about the dynamics and statistics at those spatial scales where shear might dominate.…”
Section: Discussionmentioning
confidence: 99%
“…In the context of large-eddy simulations, this has been done with the shear-improved sub-grid-scale models in the Eulerian framework (Lévêque et al, 2007). Future ocean experiments focusing on the dispersion properties of tracers having vertical structures, such as the chlorophyll field, are needed to reveal more about the dynamics and statistics at those spatial scales where shear might dominate.…”
Section: Discussionmentioning
confidence: 99%
“…An abundant number of prescriptions are possible for the parameterization of these SGS fluxes, [e.g., Kosović (1997), Bou-Zeid et al (2005), Bhushan and Warsi (2005), Lévêque et al (2007), and Ramachandran and Wyngaard (2011) to mention just a few]. For simplicity and because of the flow regime of interest, we adopt the two-part SGS model proposed by Sullivan et al (1994) that utilizes the transport equation in (1c) and an eddy viscosity approach in the parameterization of the SGS fluxes given by (2).…”
Section: Les Equationsmentioning
confidence: 99%
“…In figure 5, the vorticity is plotted, and the strongly vortical flow at the outflow after the porous medium is clearly visible. As the flow is strongly wall bounded, a dynamic turbulence model such as presented by Lévêque et al [15] will be applied.…”
Section: Preliminary Results For the Flow Through Porous Mediummentioning
confidence: 99%