Volker John

Finite Element Methods for Incompressible Flow Problems

• Gebundenes Buch

Produktbeschreibung

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.

Produktdetails

• Springer Series in Computational Mathematics 51
• Verlag: Springer / Springer International Publishing / Springer, Berlin
• Artikelnr. des Verlages: 978-3-319-45749-9
• 1st ed. 2016
• Seitenzahl: 828
• Erscheinungstermin: 4. November 2016
• Englisch
• Abmessung: 241mm x 160mm x 50mm
• Gewicht: 1400g
• ISBN-13: 9783319457499
• ISBN-10: 3319457497
• Artikelnr.: 45506335

Inhaltsangabe

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.

Rezensionen

"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)