Convergence of approximate deconvolution models to the mean magnetohydrodynamics equations: Analysis of two models

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:401

Article

Berselli, Luigi C.¹  Catania, Davide²  Lewandowski, Roger³ 

[1] Univ Pisa, Dipartimento Matemat Appl, I-56127 Pisa, Italy

[2] Univ Brescia, Dipartimento Matemat, I-25133 Brescia, Italy

[3] Univ Rennes 1, IRMAR, UMR 6625, F-35042 Rennes, France

关键词: Magnetohydrodynamics;    Large Eddy simulation;    Deconvolution models;   

DOI  :  10.1016/j.jmaa.2012.12.051

来源: Elsevier

【 摘 要 】

We consider two Large Eddy Simulation (LES) models for the approximation of large scales of equations of Magnetohydrodynamics (MHD in the sequel). We study two alpha-models, which are obtained adapting to the MHD the approach by Stolz and Adams with van Cittert approximate deconvolution operators. First, we prove the existence and uniqueness of a regular weak solution for a system with filtering and deconvolution in both equations. Then we study the behavior of solutions as the deconvolution parameter goes to infinity. The main result of this paper is the convergence to a solution of the filtered MHD equations. Next, we also study the problem with filtering acting only on the velocity equation. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free