Finite Element Methods for Incompressible Flow Problems

Author:   Volker John
Publisher:   Springer International Publishing AG
Edition:   1st ed. 2016
Volume:   51
ISBN:  

9783319457499


Pages:   812
Publication Date:   04 November 2016
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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Finite Element Methods for Incompressible Flow Problems


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Overview

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.

Full Product Details

Author:   Volker John
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   1st ed. 2016
Volume:   51
Dimensions:   Width: 15.50cm , Height: 4.40cm , Length: 23.50cm
Weight:   1.784kg
ISBN:  

9783319457499


ISBN 10:   3319457497
Pages:   812
Publication Date:   04 November 2016
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Preface.- Introduction.- The Navier-Stokes Equations as Model for Incompressible Flows.- Finite Element Spaces for Linear Saddle Point Problems.- The Stokes Equations.- The Oseen Equations.- The Steady-State Navier{Stokes Equations.- The Time-Dependent Navier-Stokes Equations - Laminar Flows.- The Time-Dependent Navier-Stokes Equations - Turbulent Flows.- Solvers for the Coupled Linear Systems of Equations.- Functional Analysis.- Finite Element Methods.- Interpolation.- Examples of Numerical Simulations.- Notations.- References.     

Reviews

Important distinction of this book is its extensive and detailed treatment of many turbulence models, subgrid models, and stabilization methods. ... this is a very well written encyclopedic book, which I strongly recommend to anybody interested in finite element methods and incompressible fluids. (Maxim A. Olshanskii, SIAM Review, Vol. 60 (1), 2018)


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