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A Review of Variational Multiscale Methods for the Simulation of Turbulent Incompressible Flows

2015
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Release : 2015
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Book Synopsis A Review of Variational Multiscale Methods for the Simulation of Turbulent Incompressible Flows by : Naveed Ahmed

Download or read book A Review of Variational Multiscale Methods for the Simulation of Turbulent Incompressible Flows written by Naveed Ahmed. This book was released on 2015. Available in PDF, EPUB and Kindle. Book excerpt: 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.

An Assessment of Two Classes of Variational Multiscale Methods for the Simulation of Incompressible Turbulent Flows

2020
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Release : 2020
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Book Synopsis An Assessment of Two Classes of Variational Multiscale Methods for the Simulation of Incompressible Turbulent Flows by : Naveed Ahmed

Download or read book An Assessment of Two Classes of Variational Multiscale Methods for the Simulation of Incompressible Turbulent Flows written by Naveed Ahmed. This book was released on 2020. Available in PDF, EPUB and Kindle. Book excerpt:

Numerical Analysis of a Variational Multiscale Method for Turbulence

2011-10
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Release : 2011-10
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Kind : eBook
Book Rating : 083/5 ( reviews)

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Book Synopsis Numerical Analysis of a Variational Multiscale Method for Turbulence by : Songül Kaya Merdan

Download or read book Numerical Analysis of a Variational Multiscale Method for Turbulence written by Songül Kaya Merdan. This book was released on 2011-10. Available in PDF, EPUB and Kindle. Book excerpt: Despite efforts of more than centuries, turbulence phenomena is categorized as an unsolved problem. Turbulence is part of everyday's life. The majority of flows of industrial and technological applications are turbulent; natural flows are invariably so. There are many important and interesting physical phenomena which are connected with turbulent flows. Turbulence is observed in natural and engineering applications such as in weather prediction, air pollution, water pollution, aerodynamics and heat exchangers. This work considers an accurate and reliable solutions of turbulent flows. It is concerned with one of the most promising approaches to the numerical simulation of turbulent flows, the subgrid eddy viscosity models. We analyze both continuous and discontinuous finite element approximation of the new subgrid eddy viscosity model. This approach has the advantage that the diffusivity is introduced only on the small scales of the flow. Numerical test shows the new stabilization technique is robust and efficient in solving Navier-Stokes equations for a wide range of Reynolds numbers.

Finite Element Methods for Incompressible Flow Problems

2016-10-27 Mathematics
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Release : 2016-10-27
Genre : Mathematics
Kind : eBook
Book Rating : 500/5 ( reviews)

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Book Synopsis Finite Element Methods for Incompressible Flow Problems by : Volker John

Download or read book Finite Element Methods for Incompressible Flow Problems written by Volker John. This book was released on 2016-10-27. Available in PDF, EPUB and Kindle. Book excerpt: This book explores finite element methods for incompressible flow problems: Stokes equations, stationary Navier-Stokes equations and time-dependent Navier-Stokes equations. It focuses on numerical analysis, but also discusses the practical use of these methods and includes numerical illustrations. It also provides a comprehensive overview of analytical results for turbulence models. The proofs are presented step by step, allowing readers to more easily understand the analytical techniques.

Turbulence Modeling by a Projection-based Variational Multiscale Method for Incompressible Flow Problems

2011
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Release : 2011
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Book Rating : 737/5 ( reviews)

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Book Synopsis Turbulence Modeling by a Projection-based Variational Multiscale Method for Incompressible Flow Problems by : Lars Röhe

Download or read book Turbulence Modeling by a Projection-based Variational Multiscale Method for Incompressible Flow Problems written by Lars Röhe. This book was released on 2011. Available in PDF, EPUB and Kindle. Book excerpt:

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