Abstract
An exact expansion for the filtered-scale stress tensor in terms of the large-scale velocity and its derivatives is presented for large-eddy simulation (LES) that are based on filters with a C ∞ kernel (e.g., most filters defined in physical space, such as the Gaussian, the top hat, all discrete filters, etc.). This result constitutes a generalisation of the exact expansion proposed independently by Yeo and Leonard in the case of the Gaussian filter. An important consequence of this expansion is that the filtered-scale stress tensor does not introduce any irreversibility into the large-scale dynamics. An approximation of this expansion is also derived for filters with a compact support in Fourier space. In this case, the filtered-scale can be decomposed into two parts corresponding respectively to reversible and irreversible effects.
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© 1999 Springer Science+Business Media Dordrecht
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Carati, D., Winckelmans, G.S., Jeanmart, H. (1999). Exact Expansions for Filtered-Scales Modelling with a Wide Class of LES Filters. In: Voke, P.R., Sandham, N.D., Kleiser, L. (eds) Direct and Large-Eddy Simulation III. ERCOFTAC Series, vol 7. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9285-7_18
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DOI: https://doi.org/10.1007/978-94-015-9285-7_18
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