Existence of smooth attractors for the Navier-Stokes-omega model of turbulence

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:366

Article

Layton, William

关键词: Attractor;    Filter;    Deconvolution;    Turbulence model;   

DOI  :  10.1016/j.jmaa.2009.12.006

来源: Elsevier

【 摘 要 】

We consider the Navier-Stokes-(omega) over bar model, given by u(t) - u x (omega) over bar - v Delta u + del P = f, omega = del x u, del . u = 0 subject to periodic boundary conditions with zero mean. The NS-(omega) over bar model is an outgrowth of ideas in approximate deconvolution models and in NS-alpha models. Like the NS-alpha model, it is simple and conserves, in the appropriate context, kinetic energy and helicity (3d) or energy and enstrophy (2d). In first tests NS-(omega) over bar was found to be accurate, robust and amenable to efficient numerical simulation. In this note we prove existence and regularity of a global attractor for the model. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

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