PittsburghV1, France, Analysis, bibRecord, 000744

A high accuracy Leray-deconvolution model of turbulence and its limiting behavior.

Identifieur interne : 000744 ( France/Analysis ); précédent : 000743; suivant : 000745

A high accuracy Leray-deconvolution model of turbulence and its limiting behavior.

Auteurs : William J. Layton [États-Unis] ; Roger Lewandowski [France]

Source :

Analysis and Applications [ 0219-5305 ] ; 2008.

RBID : Hal:hal-00123122

Descripteurs français

mix :
- Deconvolution models, Large eddy simulation, Navier-Stokes equations.

Abstract

In 1934 J. Leray proposed a regularization of the Navier-Stokes equations whose limits were weak solutions of the NSE. Recently, a modification of the Leray model, called the Leray-alpha model, has atracted study for turbulent flow simulation. One common drawback of Leray type regularizations is their low accuracy. Increasing the accuracy of a simulation based on a Leray regularization requires cutting the averaging radius, i.e., remeshing and resolving on finer meshes. This report analyzes a family of Leray type models of arbitrarily high orders of accuracy for fixed averaging radius. We establish the basic theory of the entire family including limiting behavior as the averaging radius decreases to zero, (a simple extension of results known for the Leray model). We also give a more technically interesting result on the limit as the order of the models increases with fixed averaging radius. Because of this property, increasing accuracy of the model is potentially cheaper than decreasing the averaging radius (or meshwidth) and high order models are doubly interesting.

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https://hal.archives-ouvertes.fr/hal-00123122

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Le document en format XML

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<front><div type="abstract" xml:lang="en">In 1934 J. Leray proposed a regularization of the Navier-Stokes equations whose limits were weak solutions of the NSE. Recently, a modification of the Leray model, called the Leray-alpha model, has atracted study for turbulent flow simulation. One common drawback of Leray type regularizations is their low accuracy. Increasing the accuracy of a simulation based on a Leray regularization requires cutting the averaging radius, i.e., remeshing and resolving on finer meshes. This report analyzes a family of Leray type models of arbitrarily high orders of accuracy for fixed averaging radius. We establish the basic theory of the entire family including limiting behavior as the averaging radius decreases to zero, (a simple extension of results known for the Leray model). We also give a more technically interesting result on the limit as the order of the models increases with fixed averaging radius. Because of this property, increasing accuracy of the model is potentially cheaper than decreasing the averaging radius (or meshwidth) and high order models are doubly interesting.</div>
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A high accuracy Leray-deconvolution model of turbulence and its limiting behavior.

A high accuracy Leray-deconvolution model of turbulence and its limiting behavior.

Source :

Descripteurs français

Abstract

Links toward previous steps (curation, corpus...)

Links to Exploration step

Le document en format XML

Pour manipuler ce document sous Unix (Dilib)

Pour mettre un lien sur cette page dans le réseau Wicri