Nonlinear stochastic estimation of wall models for LES
Publication date
2006
Document type
Research article
Author
Organisational unit
Universität Erlangen-Nürnberg
Scopus ID
ISSN
Series or journal
International Journal of Heat and Fluid Flow
Periodical volume
27
Periodical issue
2
First page
267
Last page
278
Part of the university bibliography
Nein
Abstract
A key technology for large eddy simulation (LES) of complex flows is an appropriate wall modeling strategy. In this paper we apply for the first time a fully nonparametric procedure for the estimation of generalized additive models (GAM) by conditional statistics. As a database, we use DNS and wall-resolved LES data of plane channel flow for Reynolds numbers, Re and 10,935, 22,776 (LES). The statistical method applied is a quantitative tool for the identification of important model terms, allowing for an identification of some of the near-wall physics. The results are given as nonparametric functions which cannot be attained by other methods. We investigated a generalized model which includes Schumann's and Piomelli et al.'s model. A strong influence of the pressure gradient in the viscous sublayer is found; for larger wall distances the spanwise pressure gradient even dominates the τw,zy component. The first a posteriori LES results are given. © 2005 Elsevier Inc. All rights reserved.
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