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Dynamic slip wall model for large-eddy simulation

Bae, Hyunji Jane and Lozano-Durán, Adrián and Bose, Sanjeeb T. and Moin, Parviz (2019) Dynamic slip wall model for large-eddy simulation. Journal of Fluid Mechanics, 859 . pp. 400-432. ISSN 0022-1120. https://resolver.caltech.edu/CaltechAUTHORS:20210315-154630091

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Abstract

Wall modelling in large-eddy simulation (LES) is necessary to overcome the prohibitive near-wall resolution requirements in high-Reynolds-number turbulent flows. Most existing wall models rely on assumptions about the state of the boundary layer and require a priori prescription of tunable coefficients. They also impose the predicted wall stress by replacing the no-slip boundary condition at the wall with a Neumann boundary condition in the wall-parallel directions while maintaining the no-transpiration condition in the wall-normal direction. In the present study, we first motivate and analyse the Robin (slip) boundary condition with transpiration (non-zero wall-normal velocity) in the context of wall-modelled LES. The effect of the slip boundary condition on the one-point statistics of the flow is investigated in LES of turbulent channel flow and a flat-plate turbulent boundary layer. It is shown that the slip condition provides a framework to compensate for the deficit or excess of mean momentum at the wall. Moreover, the resulting non-zero stress at the wall alleviates the well-known problem of the wall-stress under-estimation by current subgrid-scale (SGS) models (Jiménez & Moser, AIAA J., vol. 38 (4), 2000, pp. 605–612). Second, we discuss the requirements for the slip condition to be used in conjunction with wall models and derive the equation that connects the slip boundary condition with the stress at the wall. Finally, a dynamic procedure for the slip coefficients is formulated, providing a dynamic slip wall model free of a priori specified coefficients. The performance of the proposed dynamic wall model is tested in a series of LES of turbulent channel flow at varying Reynolds numbers, non-equilibrium three-dimensional transient channel flow and a zero-pressure-gradient flat-plate turbulent boundary layer. The results show that the dynamic wall model is able to accurately predict one-point turbulence statistics for various flow configurations, Reynolds numbers and grid resolutions.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1017/jfm.2018.838DOIArticle
https://arxiv.org/abs/1810.04214arXivDiscussion Paper
ORCID:
AuthorORCID
Bae, Hyunji Jane0000-0001-6789-6209
Lozano-Durán, Adrián0000-0001-9306-0261
Additional Information:© 2018 Cambridge University Press. Received 12 March 2018; revised 10 October 2018; accepted 11 October 2018; first published online 16 November 2018. This work was supported by NASA under the Transformative Aeronautics Concepts Program, grant no. NNX15AU93A. We are grateful to K. P. Griffin for his helpful comments on the manuscript.
Funders:
Funding AgencyGrant Number
NASANNX15AU93A
Subject Keywords:turbulence modelling, turbulent boundary layers, turbulent flows
Record Number:CaltechAUTHORS:20210315-154630091
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20210315-154630091
Official Citation:Bae, H., Lozano-Durán, A., Bose, S., & Moin, P. (2019). Dynamic slip wall model for large-eddy simulation. Journal of Fluid Mechanics, 859, 400-432. doi:10.1017/jfm.2018.838
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:108442
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:19 Mar 2021 18:54
Last Modified:19 Mar 2021 18:54

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