Finite Element Methods for Incompressible Flow Problems
(Sprache: Englisch)
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...
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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.
Inhaltsverzeichnis zu „Finite Element Methods for Incompressible Flow Problems “
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. Bibliographische Angaben
- Autor: Volker John
- 2018, Softcover reprint of the original 1st ed. 2016, XIII, 812 Seiten, 85 farbige Abbildungen, Masse: 15,6 x 23,6 cm, Kartoniert (TB), Englisch
- Verlag: Springer, Berlin
- ISBN-10: 3319833642
- ISBN-13: 9783319833644
Sprache:
Englisch
Pressezitat
"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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