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Filtering the Wall as a Solution to the Wall-Modeling Problem

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Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 56))

Abstract

In this paper, a possible solution to the long-standing problem of nearwall modeling in Large-Eddy Simulation (LES) is presented. It is observed that in an LES, in which resolution is finite, it is inconsistent to locate the wall with precision. Instead we propose filtering through the wall using homogeneous or nearly homogeneous filters, effectively smearing it. The resulting filtered equations then have an explicit wall term, which is modeled using a novel optimization technique. To test the validity of this approach, simulations were done with optimal LES models for the subgrid stress term which were derived from DNS statistical data, with very good results. The properties of subgrid models that appear to be important for this application are discussed.

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© 2007 Springer

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Moser, R.D., Das, A., Bhattacharya, A. (2007). Filtering the Wall as a Solution to the Wall-Modeling Problem. In: Kassinos, S.C., Langer, C.A., Iaccarino, G., Moin, P. (eds) Complex Effects in Large Eddy Simulations. Lecture Notes in Computational Science and Engineering, vol 56. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-34234-2_9

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