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Adaptive Direct Numerical Simulation with Spatially-Anisotropic Wavelet-Based Refinement Read chapter Read first chapter

2019 | OriginalPaper | Chapter

On the Richardson Extrapolation of the Reynolds Stress with the Systematic Grid and Model Variation Method

Authors : M. Klein, G. Scovazzi, M. Germano

Published in: Direct and Large-Eddy Simulation XI

Publisher: Springer International Publishing

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Abstract

A new operational Richardson extrapolation has been proposed to reconstruct the Reynolds stresses in LES. The method is based on three LES simulations as suggested in the Systematic Grid and Model Variation approach, and two new terms appear in the formalism. For a turbulent planar jet these two terms are small but reasonable and the extrapolation of the resolved shear stress works qualitatively well. The method is flexible and can be combined with different strategies. First results are promising, but more experience is needed with different flow configurations and higher Reynolds number.

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previous chapter A New Subgrid Characteristic Length for LES
next chapter Spatial Filtering for Reduced Order Modeling
Literature
1.
Klein, M., Meyers, J., Geurts, B.J.: Assessment of LES quality measures using the error landscape. In: Meyers, J., et al. (eds.) Quality and Reliability of Large-Eddy Simulations, pp. 131–142. Springer, Berlin (2008)CrossRef
2.
Knio, O.M., Le Maître, O.P.: Uncertainty propagation in CFD using polynomial chaos decomposition. Fluid Dyn. Res. 38, 616–640 (2006)MathSciNetCrossRef
3.
Meldi, M., Salvetti, M.V., Sagaut, P.: Quantification of errors in large-eddy simulations of a spatially evolving mixing layer using polynomial chaos. Phys. Fluids 24, 035101–035125 (2012)CrossRef
4.
Richardson, L.F.: The Approximate Arithmetical Solution by finite differences of physical problems involving differential equations, with an application to the stresses In a Masonry dam. Philos. Trans. R. Soc. Lond. Ser. A 210, 307–357 (1910)CrossRef
5.
Richardson, L.F., Gaunt, J.A.: The deferred approach to the limit. Philos. Trans. R. Soc. Lond. Ser. A 226, 299–361 (1927)CrossRef
6.
Roache, P.: Quantification of uncertainty in computational fluid dynamics. Annu. Rev. Fluid. Mech. 29, 123–160 (1997)MathSciNetCrossRef
7.
Klein, M.: An attempt to assess the quality of large eddy simulations in the context of implicit filtering. Flow Turbul. Combust. 75, 131–147 (2005)CrossRef
8.
Leonard, A.: Energy cascade in Large-Eddy simulations of turbulent fluid flows. Adv. Geophys. 18A, 237–248 (1974)
9.
Klein, M., Sadiki, A., Janicka, J.: Investigation of the influence of the Reynolds number on a plane jet using direct numerical simulation. Int. J. Heat Fluid Flow 24(6), 785–794 (2003)CrossRef
10.
Celik, I., Cehreli, Z., Yavuz, I.: Index of resolution quality for large eddy simulations. ASME J. Fluids Eng. 127(5), 949–958 (2005)CrossRef
Metadata
Title
On the Richardson Extrapolation of the Reynolds Stress with the Systematic Grid and Model Variation Method
Authors
M. Klein
G. Scovazzi
M. Germano
Copyright Year
2019
Book
Direct and Large-Eddy Simulation XI

Print ISBN: 978-3-030-04914-0

Electronic ISBN: 978-3-030-04915-7

Copyright Year: 2019

DOI
https://doi.org/10.1007/978-3-030-04915-7_20

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