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On the convergence of an approximate deconvolution model to the 3D mean Boussinesq equations
Author(s) -
Bisconti Luca
Publication year - 2014
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3160
Subject(s) - mathematics , uniqueness , boussinesq approximation (buoyancy) , deconvolution , convergence (economics) , mathematical analysis , zero (linguistics) , algorithm , physics , meteorology , convection , natural convection , rayleigh number , economics , economic growth , linguistics , philosophy
In this paper, we study an LES model for the approximation of large scales of the 3D Boussinesq equations. This model is obtained using the approach first described by Stolz and Adams, based on the Van Cittern approximate deconvolution operators, and applied to the filtered Boussinesq equations. Existence and uniqueness of a regular weak solution are provided. Our main objective is to prove that this solution converges towards a solution of the filtered Boussinesq equations, as the deconvolution parameter goes to zero. Copyright © 2014 John Wiley & Sons, Ltd.