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Article Dans Une Revue Journal of Turbulence Année : 2006

Residual stress of approximate deconvolution models of turbulence

Résumé

We consider the case of a homogeneous, isotropic, fully developed, turbulent flow. We show analytically by using the -5/3 Kolmogorov's law that the time-averaged consistency error of the Nth approximate deconvolution LES (large eddy simulation) model converges to zero following a law as the cube root of the averaging radius, independently of the Reynolds number. The consistency error is measured by the residual stress. The filter under consideration is a second-order differential filter, but the 1/3 law is still valid in the case of the Gaussian filter and large class of filters used in LES. We also show how the 1/3 error law can be derived by a dimensional analysis.
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Dates et versions

hal-00451981 , version 1 (01-02-2010)

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William J. Layton, Roger Lewandowski. Residual stress of approximate deconvolution models of turbulence. Journal of Turbulence, 2006, 7 (46), pp.1-21. ⟨10.1080/14685240600749977⟩. ⟨hal-00451981⟩
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