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Zeitschrift für Analysis und ihre Anwendungen


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Volume 34, Issue 1, 2015, pp. 61–83
DOI: 10.4171/ZAA/1529

Published online: 2015-01-08

On the Well-Posedness of the Boussinesq Equations with Anisotropic Filter for Turbulent Flows

Luigi C. Berselli[1] and Davide Catania[2]

(1) Università di Pisa, Italy
(2) Università di Brescia, Italy

We consider approximate deconvolution models for the Boussinesq equations, based on suitable anisotropic lters. We discuss existence and well-posedness of the solutions, with particular emphasis on the role of the energy (of the model) balance.

Keywords: Boussinesq equations, anisotropic filters, Large Eddy Simulation (LES), turbulent flows in domains with boundary, approximate deconvolution methods

Berselli Luigi, Catania Davide: On the Well-Posedness of the Boussinesq Equations with Anisotropic Filter for Turbulent Flows. Z. Anal. Anwend. 34 (2015), 61-83. doi: 10.4171/ZAA/1529