Dynamics of commutator-errors in LES with non-uniform filter-width

Bos van der, Fedderik and Geurts, Bernard J. (2004) Dynamics of commutator-errors in LES with non-uniform filter-width. In: 5th International ERCOFTAC Workshop on Direct and Large-Eddy Simulation V, August 27-29, 2003, Munich, Germay.

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Abstract:	In large-eddy simulation only the large scales in a turbulent flow are calculated explicitly and the small scales are effectively removed by the application of a filter with filter-width ∆. For LES of flows in complex geometries it is generally assumed that a non-uniform filter-width ∆(x) is advantageous. Application of non-uniform filters introduces additional sub-grid scale terms, referred to as commutator-errors. The commutator-error corresponds to filter-width variations along a flow-path and expresses differences in the local capturing of small scale flow-features. Therefore, a high correlation is expected between the specific filter-width non-uniformities and the production/dissipation of kinetic energy. This is confirmed by novel a priori analysis of turbulent mixing. In particular, commutator-errors arising from symmetric or non-symmetric filters are shown to differ considerably in dynamic implications.
Item Type:	Conference or Workshop Item
Copyright:	© 2004 Kluwer
Faculty:	Electrical Engineering, Mathematics and Computer Science (EEMCS)
Research Group:	Mathematics of Computational Science (MaCS)
Link to this item:	http://purl.utwente.nl/publications/48301
Official URL:	http://dx.doi.org/10.1007/978-1-4020-2313-2_18
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