Abstract
Recently, a new sub-grid-scale model pertaining to large eddy simulation methodology, namely shear improved-Smagorinsky model has been proposed. The model takes into account the mean shear arising due to anisotropy of the flow. In the present study, the model has been tested successfully on shear driven cavity flow to see its strength in predicting the complex flow features associated with separation or detached shear layer and analyze the associated numerical difficulties. The results have been compared with experimental data and findings from commonly used LES model. The model agrees well with the experimental counterpart and comparable with those due to other LES model.
Similar content being viewed by others
References
Saugat, P.: Large eddy simulation for incompressible flows: an introduction. Springer, Heidelberg (2002)
Smagorinsky, J.: General circulation experiments with the primitive equations. I. The basic equations. Mon. Weather Rev. 91, 99–164 (1963)
Lilly, D.K.: The representation of small-scale turbulence in numerical simulation experiments. In: Proceedings of the IBM Scientific Computing Symposium on Environmental Sciences, vol 195, White Plains (1967)
Moin, P., Kim, J.: Numerical investigation of turbulent channel flow. J. Fluid Mech. 118, 341–377 (1982)
van Driest, E.R.: On turbulent flow near a wall. J. Aeronaut. Sci. 23, 1007–1011 (1956)
Germano, M., Pomelli, U., Moin, P., Cabot, A.: Dynamic subgrid-scale eddy viscosity model. Phys. Fluids A 3, 1760–1765 (1991)
Frisch, U.: Turbulence: The Legacy of A.N. Kolmogorov. Cambridge University Press, England (1995)
Leveque, E., Toschi, F., Shao, L., Bertoglio, J.P.: Shear-improved Smagorinsky model for large-eddy simulation of wall-bounded turbulent flows. J. Fluid Mech. 570, 491–502 (2007)
Toschi, F., Leveque, E., Ruiz-Chavarria, G.: Shear effects in nonhomogeneous turbulence. Phys. Rev. Lett. 85, 1436–1439 (2000)
Saha, P., Biswas, G.: Assessment of a shear-improved subgrid stress closure for turbulent channel flows. Int. J. Heat Mass Trans. 53, 4789–4796 (2010)
Shankar, P.N., Deshpande, M.D.: Fluid mechanics in the driven cavity. Annu. Rev. Fluid Mech. 32, 93–136 (2000)
Cahuzac, A., Boudet, J., Borgnat, P., Leveque, E.: Smoothing algorithm for mean-flow extraction in large-eddy simulation of complex turbulent flows. Phys. Fluids 22, 125104(1)–125104(14) (2010)
Harlow, F.H., Welch, J.E.: Numerical calculation of time dependent viscous incompressible flow of fluid with free surface. Phys. Fluids 8, 2182–2188 (1965)
Prasad, A.K., Koseff, J.R.: Reynolds number and end-wall effects on a lid-driven cavity flow. Phys. Fluids A 1(2), 208–218 (1989)
Zang, Y., Street, R.L., Koseff, J.R.: A dynamic mixed subgrid scale model and its application to turbulent recirculation flows. Phys. Fluids 5, 3186–3196 (1993)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Saha, P., Biswas, G. & Sarkar, S. Shear improved Smagorinsky model pertaining to large eddy simulation applied on lid- driven cavity flows. Int J Adv Eng Sci Appl Math 4, 165–171 (2012). https://doi.org/10.1007/s12572-012-0068-9
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12572-012-0068-9