Numerical dissipation vs. subgrid-scale modelling for large eddy simulation
File(s)2017_LAIZET_JCP.pdf (4.57 MB)
Accepted version
Author(s)
Dairay, T
Lamballais, E
Laizet, S
Vassilicos, C
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.
Date Issued
2017-05-15
Date Acceptance
2017-02-13
Citation
Journal of Computational Physics, 2017, 337 (1), pp.252-274
ISSN
0021-9991
Publisher
Elsevier
Start Page
252
End Page
274
Journal / Book Title
Journal of Computational Physics
Volume
337
Issue
1
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/
Identifier
https://www.sciencedirect.com/science/article/pii/S0021999117301298
Subjects
Science & Technology
Technology
Physical Sciences
Computer Science, Interdisciplinary Applications
Physics, Mathematical
Computer Science
Physics
Large eddy simulation
Subgrid-scale modelling
Numerical dissipation
Spectral vanishing viscosity
Pao's spectrum
3D Taylor-Green flow
SPECTRAL VANISHING VISCOSITY
TURBULENT FLOWS
ERRORS
LES
JET
VELOCITY
SCHEMES
DECAY
01 Mathematical Sciences
02 Physical Sciences
09 Engineering
Applied Mathematics
Publication Status
Published
Date Publish Online
2017-02-20