On the existence of global attractors of the approximate deconvolution models of turbulence

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:389

Article

Dunca, Argus Adrian

关键词: Large eddy simulation;    Scale similarity models;    Deconvolution;    Approximate deconvolution models;   

DOI  :  10.1016/j.jmaa.2011.12.054

来源: Elsevier

【 摘 要 】

In this report we consider the problem of the existence of global attractors of the weak solution of the approximate deconvolution models of turbulence. The L-2-global attractors are known to exist for large eddy simulation models such as Leray-alpha. Leray-deconvolution or NS-omega models. In the case of the approximate deconvolution model, as the L-2 norm of the weak solution of the ADM is not controlled by the L-2-norm of the initial data and the approximate deconvolution model is an approximation of the filtered NSE, we are led to the question of existence of H-1-global attractors. We also prove better regularity of the weak solution of ADM. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

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