Corpus ID: 237635405

# Clipping over dissipation in turbulence models

@article{Kean2021ClippingOD,
title={Clipping over dissipation in turbulence models},
author={Kiera Kean and William J. Layton and Michael Schneier},
journal={ArXiv},
year={2021},
volume={abs/2109.12107}
}
• Published 24 September 2021
• Computer Science, Physics, Mathematics
• ArXiv
Clipping refers to adding 1 line of code A ⇐ min{A,B} to force the variable A to stay below a present bound B. Phenomenological clipping also occurs in turbulence models to correct for over dissipation caused by the action of eddy viscosity terms in regions of small scales. Herein we analyze eddy viscosity model energy dissipation rates with 2 phenomenological clipping strategies. Since the true Reynolds stresses are O(d) (d = wall normal distance) in the near wall region, the first is to force… Expand

#### References

SHOWING 1-10 OF 43 REFERENCES
Analysis of mesh effects on turbulent flow statistics
• Mathematics
• Journal of Mathematical Analysis and Applications
• 2019
Abstract Turbulence models, such as the Smagorinsky model herein, are used to represent the energy lost from resolved to under-resolved scales due to the energy cascade (i.e. non-linearity). AnalyticExpand
On the Prandtl-Kolmogorov 1-equation model of turbulence
• Computer Science, Physics
• ArXiv
• 2021
It is proved an estimate of total (viscous plus modelled turbulent) energy dissipation in general eddy viscosity models for shear flows and shows that the ratio of the near wall average Viscosity to the effective global viscosities is the key parameter. Expand
Energy dissipation in the Smagorinsky model of turbulence
• W. Layton
• Physics, Computer Science
• Appl. Math. Lett.
• 2016
It is proven that the model's time averaged energy dissipation rate satisfies the same upper bound as for the NSE plus one additional term that vanishes uniformly in the Reynolds number as the Smagorinsky length scale decreases. Expand
Energy dissipation in body-forced turbulence
• Physics
• Journal of Fluid Mechanics
• 2002
Bounds on the bulk rate of energy dissipation in body-force-driven steady-state turbulence are derived directly from the incompressible Navier–Stokes equations. We consider flows in three spatialExpand
Dissipation in Turbulent Flows
This article reviews evidence concerning the cornerstone dissipation scaling of turbulence theory: � = CU 3 /L, with C� = const., � the dissipation rate of turbulent kinetic energy U 2 ,a ndL anExpand
A Simple Mixing Length Formulation for the Eddy-Diffusivity Parameterization of Dry Convection
• Physics
• 2004
In this paper a simple mixing length formulation for the eddy-diffusivityparameterization of dry convection is suggested. The new formulation relates the mixinglength to the square root of theExpand
Bounds on Energy and Helicity Dissipation Rates of Approximate Deconvolution Models of Turbulence
• W. Layton
• Physics, Computer Science
• SIAM J. Math. Anal.
• 2007
A family of high-accuracy, approximate deconvolution models of turbulence is considered and bounds on the model's time-averaged energy dissipation rate and helicity Dissipation rate are proved. Expand
Effect of tangential derivative in the boundary layer on time averaged energy dissipation rate
Abstract We show that for shear driven flows the energy dissipation rate per unit volume is dominated by a function of the energy dissipation rate in the boundary layer due to the tangentialExpand
Analysis of an Eddy Viscosity Model for Large Eddy Simulation of Turbulent Flows
• Physics
• 2002
Abstract. One simple, computationally attractive yet mathematically intractable eddy viscosity model for turbulent viscous flows reads: $\nabla \cdot w = 0$ and¶¶ \$ w_{t} + \nabla \cdot (ww) -Expand
Reinvestigation on mixing length in an open channel turbulent flow
• Physics
• Acta Geophysica
• 2017
The present study proposes a model on vertical distribution of streamwise velocity in an open channel turbulent flow through a newly proposed mixing length, which is derived for both clear water andExpand