Finite Element Methods for Incompressible Flow Problems

 
 
Springer (Verlag)
  • erschienen am 4. November 2016
 
  • Buch
  • |
  • Hardcover
  • |
  • XIII, 812 Seiten
978-3-319-45749-9 (ISBN)
 
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.
Book
1st ed. 2016
  • Englisch
  • Cham
  • |
  • Schweiz
Springer International Publishing
  • Für Beruf und Forschung
  • 85 farbige Abbildungen, 84 farbige Tabellen, 35 s/w Abbildungen
  • |
  • 84 Tables, color; 85 Illustrations, color; 35 Illustrations, black and white; XIII, 812 p. 120 illus., 85 illus. in color.
  • Höhe: 241 mm
  • |
  • Breite: 159 mm
  • |
  • Dicke: 53 mm
  • 1402 gr
978-3-319-45749-9 (9783319457499)
10.1007/978-3-319-45750-5
weitere Ausgaben werden ermittelt

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.

"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)
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.
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