Abstract
The scale similarity (SS) idea was first introduced by Bardina et al. (1980). Following this idea the subgrid-scale stress tensor can be modeled through the modified Leonard tensor, which can be computed as a function of the variables resolved in LES by means of the application of an additional explicit filter. In the original idea, this filter should be the same as the grid one. It has been shown in a priori tests in the literature (see (Meneveau and Katz, 2000) for a review) that the SS model correlates very well with the exact SGS stress tensor and represents quite well energy backscatter from the unresolved to the resolved scales. However, when the scale-similarity SGS model is used alone in actual large-eddy simulations, it does not provide enough SGS dissipation and the simulations may undergo numerical instability. Therefore, the modified Leonard tensor (or SS term) is always used in combination with an eddy-viscosity term, leading to the so-called mixed models (Meneveau and Katz, 2000).
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Bardina, J., Ferziger, J.H. and Reynolds, W.C. (1980). Improved subgrid scale models for large eddy simulation. AIAA Paper 80-1357.
Camarri, S., Salvetti, M.V., Koobus, B. and Dervieux, A. (2004). A low diffusion MUSCL scheme for LES on unstructured grids. Comp. Fluids 33: 1101–1129.
Camarri, S., Salvetti, M.V., Koobus, B. and Dervieux, A. (2002). Large-eddy simulation of a bluff-body flow on unstructured grids. Int. J. Num. Meth. Fluids 40: 1431–1460.
Koobus, B. and Farhat, C. (2004). A variational multiscale method for the large eddy simulation of compressible turbulent flows on unstructured meshes-application to vortex shedding. Comput. Methods Appl. Mech. Eng. 193: 1367–1383.
Kravchenko, A.G. and Moin, P. (1999). Numerical studies of flow over a circular cylinder at Re=3900. Phys. Fluids 12(2): 403–417.
Meneveau, C. and Katz, J. (2000). Scale-invariance and turbulence models for large-eddy simulation. Ann. Rev. Fluid Mech. 32: 1–32.
Meyers, J., Sagaut, P. and Geurts, B.J. (2006). Optimal model parameters for multi-objective large-eddy simulations, Phys. Fluids 18: 095103.
Nicoud, F. and Ducros, F. (1999). Subgrid-scale stress modelling based on the square of the velocity gradient tensor. Flow Turb. Comb. 62 (3): 183–200.
Ouvrard, H., Koobus B., Dervieux, A. and Salvetti, M.V. (2010). Classical and variational multiscale LES of the flow around a circular cylinder on unstructured grids. Computers & Fluids 39: 1083–1094.
Parneaudeau, P., Carlier, J., Heitz, D. and Lamballais, E. (2008). Experimental and numerical studies of the flow over a circular cylinder at Reynolds number 3900. Phys. Fluids 20: 085101.
Smagorinsky, J. (1963). General circulation experiments with the primitive equations. Month. Weath. Rev. 91(3): 99–164.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer Science+Business Media B.V.
About this paper
Cite this paper
Salvetti, M.V., Ouvrard, H., Koobus, B., Dervieux, A. (2011). Mixed subgrid scale models for classical and variational multiscale large-eddy simulations on unstructured grids. In: Kuerten, H., Geurts, B., Armenio, V., Fröhlich, J. (eds) Direct and Large-Eddy Simulation VIII. ERCOFTAC Series, vol 15. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-2482-2_18
Download citation
DOI: https://doi.org/10.1007/978-94-007-2482-2_18
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-007-2481-5
Online ISBN: 978-94-007-2482-2
eBook Packages: EngineeringEngineering (R0)