Title: Development of wall models for LES of separated flows using statistical evaluations
Authors: Breuer, Michael 
Kniazev, Boris
Abel, Markus
Language: eng
Issue Date: Jun-2007
Publisher: Elsevier
Document Type: Article
Journal / Series / Working Paper (HSU): Computers & fluids : an international journal
Volume: 36
Issue: 5
Page Start: 817
Page End: 837
Abstract: 
Wall models are the key technology making possible the application of large eddy simulation to flows of engineering interest. In this paper, a new approach to the development of wall models is presented, which, in contrast to classical wall models, relies on a strong physical background and therefore is considered to be able to predict separated flows reliably. The idea is based on the concept of artificial viscosity. It requires definitions of the distribution of the eddy viscosity in the outer layer and the thickness of the viscous sublayer. The second issue is the critical aspect. Applying the artificial viscosity approach to the needs of LES wall modeling is discussed in detail and promising wall models are derived analytically. Statistical evaluations using nonlinear stochastic estimation are carried out in order to determine an important physical dependence involved in the new wall models, namely the ratio of the thickness of the viscous sublayer to the height of the wall-nearest cell. As test cases, the flow in plane channels and over a periodic arrangement of hills is considered. A posteriori results show clearly the advantages of the wall models developed, especially for separated flows. © 2006 Elsevier Ltd. All rights reserved.
Organization Units (connected with the publication): Universität Erlangen-Nürnberg
ISSN: 0045-7930
Verlags-DOI: 10.1016/j.compfluid.2006.09.001
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