On the convergence of an approximate deconvolution model to the 3D mean Boussinesq equations

Corresponding Author

Luca Bisconti

Dipartimento di Matematica e Informatica “U. Dini”, Università degli Studi di Firenze, Via S. Marta 3, I-50139, Firenze, Italia

Correspondence to: Luca Bisconti, Dipartimento di Matematica e Informatica “U. Dini,” Università degli Studi di Firenze, Via S. Marta 3, I-50139, Firenze, Italia.

E-mail: [email protected]

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Luca Bisconti,

Corresponding Author

Luca Bisconti

Dipartimento di Matematica e Informatica “U. Dini”, Università degli Studi di Firenze, Via S. Marta 3, I-50139, Firenze, Italia

Correspondence to: Luca Bisconti, Dipartimento di Matematica e Informatica “U. Dini,” Università degli Studi di Firenze, Via S. Marta 3, I-50139, Firenze, Italia.

E-mail: [email protected]

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First published: 08 May 2014

https://doi.org/10.1002/mma.3160

Citations: 12

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Abstract

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.

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Volume38, Issue7

15 May 2015

Pages 1437-1450

On the convergence of an approximate deconvolution model to the 3D mean Boussinesq equations

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On the convergence of an approximate deconvolution model to the 3D mean Boussinesq equations

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