Scale dependence of subgrid-scale model coefficients: An a priori study

Elie Bou-Zeid, Nikki Vercauteren, Marc B. Parlange, Charles Meneveau

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Dynamic subgrid-scale models require an a priori assumption about the variation in the model coefficients with filter scale. The standard dynamic model assumes independence of scale while the scale dependent model assumes power-law dependence. In this paper, we use field experimental data to investigate the dependence of model coefficients on filter scale for the Smagorinsky and the nonlinear models. The results indicate that the assumption of a power-law dependence, which is often used in scale dependent dynamic models, holds very well for the Smagorinsky model. For the nonlinear model, the power-law assumption seems less robust but still adequate.

Original languageEnglish
Article number115106
Number of pages6
JournalPhysics of Fluids
Issue number11
Publication statusPublished - 2008
Externally publishedYes

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