K-41 optimised approximate deconvolution models

Authors:
William Layton;Iuliana Stanculescu
Affiliations:
Department of Mathematics, University of Pittsburgh, USA.;Department of Mathematics, University of Pittsburgh, USA
Venue:
International Journal of Computing Science and Mathematics
Year:
2007

Citing 3
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Abstract

Average the Navier Stokes equations, with a local, spatialconvolution type filter.The result system is not closed due to__ The result system is not closed due to uu. Let D be a bounded linear operator which satisfies u =D(k) + O(δα) where δ isthe filter width and ± e 2. Using D as an approximatefilter inverse yields the closure___._________ uu = D(k)D(k)+O(δα)The residual stress of this model (and related models) dependsdirectly on the deconvolution error u D(k). We finddeconvolution parameters that minimise the deconvolution error forhomogeneous, isotropic turbulence. This work addresses: How toadapt deconvolution to homogeneous, isotropic turbulent flows? andWhat is the increase in accuracy?