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A review of variational multiscale methods for the simulation of turbulent incompressible flows

 

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Opened Access A review of variational multiscale methods for the simulation of turbulent incompressible flows
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Author: Ahmed, Naveed
Chacón Rebollo, Tomás
John, Volker
Rubino, Samuele
Department: Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico
Date: 2015
Published in: Archives of Computational Methods in Engineering, 1-50.
Document type: Article
Abstract: Various realizations of variational multiscale (VMS) methods for simulating turbulent incompressible flows have been proposed in the past fifteen years. All of these realizations obey the basic principles of VMS methods: They are based on the variational formulation of the incompressible Navier-Stokes equations and the scale separation is defined by projections. However, apart from these common basic features, the various VMS methods look quite different. In this review, the derivation of the different VMS methods is presented in some detail and their relation among each other and also to other discretizations is discussed. Another emphasis consists in giving an overview about known results from the numerical analysis of the VMS methods. A few results are presented in detail to highlight the used mathematical tools. Furthermore, the literature presenting numerical studies with the VMS methods is surveyed and the obtained results are summarized.
Cite: Ahmed, N., Chacón Rebollo, T., John, V. y Rubino, S. (2015). A review of variational multiscale methods for the simulation of turbulent incompressible flows. Archives of Computational Methods in Engineering, 1-50.
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URI: http://hdl.handle.net/11441/43311

DOI: 10.1007/s11831-015-9161-0

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