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Temporal large-eddy simulations of the lid-driven cavity by finite volume method

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Abstract

This paper describes in detail a numerical scheme to predict complex turbulent flows using a recent model based on temporal large-eddy simulations (TLES). To solve the equations a second-order finite volume numerical method coupled with a second-order time integration scheme is used. The numerical scheme is validated and then applied to present new results concerning the prediction of the complex turbulent flow in a cubic lid-driven cavity, at Reynolds numbers \(Re=12{,}000\) and \(Re=18{,}000\). The results obtained with the TLES are compared with direct numerical simulations and experimental data for the mean velocity flow field and for the Reynolds stresses, showing to be very attractive when compared to large-eddy simulations.

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Acknowledgements

We gratefully acknowledge the support provided by FAPESP (Grants 2010/16865-2, 2012/17827-2 and 2015/02649-0).

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Authors and Affiliations

  1. Faculdade de Ciências Exatas e Tecnologias, Universidade Federal da Grande Dourados, Rodovia Dourados/Itahum, Km 12 - Unidade II, Dourados, MS, 79804970, Brazil

    L. Corrêa

  2. Unité de Mécanique de Lille, UML EA 7512, Cité Scientifique, Université de Lille, Av. Paul Langevin, 59650, Villeneuve d’Ascq, France

    G. Mompean

  3. Escola Politécnica, Departamento de Engenharia de Construção Civil, Universidade de São Paulo, Avenida Almeida Prado, trav.2, 83, Edifício Paula Souza, Cidade Universitária, São Paulo, SP, 05508900, Brazil

    F. A. Kurokawa

  4. Instituto de Ciências Matemáticas e de Computação, Departamento de Matemática Aplicada e Estatística, Universidade de São Paulo, Av. Trabalhador São-carlense, 400, Centro, São Carlos, SP, 13566590, Brazil

    F. S. Sousa

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  1. L. Corrêa
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  2. G. Mompean
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  3. F. A. Kurokawa
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  4. F. S. Sousa
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Correspondence to L. Corrêa.

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Technical Editor: Jader Barbosa Jr.

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Corrêa, L., Mompean, G., Kurokawa, F.A. et al. Temporal large-eddy simulations of the lid-driven cavity by finite volume method. J Braz. Soc. Mech. Sci. Eng. 40, 417 (2018). https://doi.org/10.1007/s40430-018-1333-z

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  • DOI: https://doi.org/10.1007/s40430-018-1333-z

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