Coarse large-eddy simulations in a transitional wake flow with flow models under location uncertainty

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Title: Coarse large-eddy simulations in a transitional wake flow with flow models under location uncertainty
Author(s): Laizet, S
Chandramouli, P
Heitz, D
Mémin, E
Item Type: Journal Article
Abstract: The focus of this paper is to perform coarse-grid large-eddy simulation (LES) using recently developed sub-grid scale (SGS) models of cylinder wake flow at Reynolds number (Re) of 3900. As we approach coarser resolutions, a drop in accuracy is noted for all LES models but more importantly, the numerical stability of classical models is called into question. The objective is to identify a statistically accurate, stable sub-grid scale (SGS) model for this transitional flow at a coarse resolution. The proposed new models under location uncertainty (MULU) are applied in a deterministic coarse LES context and the statistical results are compared with variants of the Smagorinsky model and various reference data-sets (both experimental and Direct Numerical Simulation (DNS)). MULU are shown to better estimate statistics for coarse resolution (at 0.46% the cost of a DNS) while being numerically stable. The performance of the MULU is studied through statistical comparisons, energy spectra, and sub-grid scale (SGS) contributions. The physics behind the MULU are characterised and explored using divergence and curl functions. The additional terms present (velocity bias) in the MULU are shown to improve model performance. The spanwise periodicity observed at low Reynolds is achieved at this moderate Reynolds number through the curl function, in coherence with the birth of streamwise vortices.
Publication Date: 30-May-2018
Date of Acceptance: 2-Apr-2018
ISSN: 0045-7930
Publisher: Elsevier
Start Page: 170
End Page: 189
Journal / Book Title: Computers and Fluids
Volume: 168
Copyright Statement: © 2018 Elsevier Ltd. All rights reserved. This manuscript is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
Keywords: 0102 Applied Mathematics
0915 Interdisciplinary Engineering
0913 Mechanical Engineering
Applied Mathematics
Publication Status: Published
Embargo Date: 2019-04-03
Online Publication Date: 2018-04-03
Appears in Collections:Faculty of Engineering

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