Numerical dissipation vs. subgrid-scale modelling for large eddy simulation

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Title: Numerical dissipation vs. subgrid-scale modelling for large eddy simulation
Author(s): Dairay, T
Lamballais, E
Laizet, S
Vassilicos, C
Item Type: Journal Article
Abstract: This study presents an alternative way to perform large eddy simulation based on a targeted numerical dissipation introduced by the discretization of the viscous term. It is shown that this regularisation technique is equivalent to the use of spectral vanishing viscosity. The flexibility of the method ensures high-order accuracy while controlling the level and spectral features of this purely numerical viscosity. A Pao-like spectral closure based on physical arguments is used to scale this numerical viscosity a priori. It is shown that this way of approaching large eddy simulation is more efficient and accurate than the use of the very popular Smagorinsky model in standard as well as in dynamic version. The main strength of being able to correctly calibrate numerical dissipation is the possibility to regularise the solution at the mesh scale. Thanks to this property, it is shown that the solution can be seen as numerically converged. Conversely, the two versions of the Smagorinsky model are found unable to ensure regularisation while showing a strong sensitivity to numerical errors. The originality of the present approach is that it can be viewed as implicit large eddy simulation, in the sense that the numerical error is the source of artificial dissipation, but also as explicit subgrid-scale modelling, because of the equivalence with spectral viscosity prescribed on a physical basis.
Publication Date: 20-Feb-2017
Date of Acceptance: 13-Feb-2017
URI: http://hdl.handle.net/10044/1/44659
DOI: https://dx.doi.org/10.1016/j.jcp.2017.02.035
ISSN: 1090-2716
Publisher: Elsevier
Start Page: 252
End Page: 274
Journal / Book Title: Journal of Computational Physics
Volume: 337
Copyright Statement: © 2017 Elsevier Inc. All rights reserved. This manuscript is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/
Keywords: Applied Mathematics
01 Mathematical Sciences
02 Physical Sciences
09 Engineering
Publication Status: Published
Appears in Collections:Faculty of Engineering
Aeronautics



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