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Erschienen in:
2011 | OriginalPaper | Buchkapitel
On the relevance of discrete test-filtering in the integral-based dynamic modelling
verfasst von : Filippo Maria Denaro
Erschienen in: Direct and Large-Eddy Simulation VIII
Verlag: Springer Netherlands
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Large Eddy Simulation (LES) is based on a separation between large resolved, and small unresolved Sub-Grid Scales (SGS), obtained by applying a low-pass filtering operator on the governing equations. Actually, such filtering operation is often nothing but a formalism while writing the LES equations in continuous form. Indeed, in the so-called
implicit filtering approach
the discretization of both domain and differential operators is practically used as built-in filtering, e.g. see (Sagaut,
2006
). The characteristic filter length Δ is implicitly linked to the computational grid size step
h
(the only user-defined parameter) by the so-called
sub-filter resolution parameter
Q
=Δ/
h
. Hence, numerical representation of the filtered variables is associated with a finite number of resolved scales and marginal resolution.