K-41 optimised approximate deconvolution models
type: Item
instance of: scholarly article
title: K-41 optimised approximate deconvolution models
zbMATH Open document ID: 1185.76707
DOI: 10.1504/IJCSM.2007.016554
author: Iuliana Stanculescu
author: William Layton
published in: International Journal of Computing Science and Mathematics
publication date: 2010-05-05T00:00:00Z
review text: Summary: Average the Navier-Stokes equations, with a local, spatial convolution type filter. The result system is not closed due to \(\overline {uu}\). Let \(D\) be a bounded linear operator which satisfies \[ \mathbf u = D(\overline{u}) + O(\delta ^{\alpha}), \] where \(\delta \) is the filter width and \(\alpha \geq 2\). Using \(D\) as an approximate filter inverse yields the closure \[ {\overline {uu}} = \overline {D(\overline {u})D(\overline {u})}+O(\delta ^{\alpha }). \] The residual stress of this model (and related models) depends directly on the deconvolution error \(\mathbf u - D(\overline{u})\). We find deconvolution parameters that minimise the deconvolution error for homogeneous, isotropic turbulence. This work addresses: How to adapt deconvolution to homogeneous, isotropic turbulent flows? And what is the increase in accuracy?
Mathematics Subject Classification ID: 76F40
zbMATH DE Number: 5703888
zbMATH Keywords: Navier-Stokes equations
zbMATH Keywords: large eddy simulation
zbMATH Keywords: LES
zbMATH Keywords: approximate deconvolution
zbMATH Keywords: homogeneous turbulence
zbMATH Keywords: isotropic turbulence
zbMATH Keywords: deconvolution error
MaRDI profile type: Publication
full work available at URL: ijcsm.2007.016554
OpenAlex ID: W1985729065
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description: scientific article; zbMATH DE number 5703888