Exact expansions for filtered-scales modelling with a wide class of LES filters
(1999) the Isaac Newton Institute Symposium / ERCOFTAC Workshop — Location: Cambridge, U.K. (12.May.1999)
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- Abstract
- (en) 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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Carati, D., Winckelmans, G., & Jeanmart, H. (1999). Exact expansions for filtered-scales modelling with a wide class of LES filters. In Peter R. Voke, Neil D.Sandham, Leonhard Kleiser (ed.), Direct and Large-Eddy Simulation III (p. 443 p.). Kluwer Academic Publishers. https://doi.org/10.1007/978-94-015-9285-7_18