Finite Element Methods for Incompressible Flow Problems
Springer International Publishing (Verlag)
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.
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)
“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)
| Erscheinungsdatum | 13.11.2016 |
|---|---|
| Reihe/Serie | Springer Series in Computational Mathematics |
| Zusatzinfo | XIII, 812 p. 120 illus., 85 illus. in color. |
| Verlagsort | Cham |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 1400 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik | |
| Schlagworte | Computational Mathematics and Numerical Analysis • Differential calculus and equations • finite element analysis • mathematics and statistics • Numerical analysis • Partial differential equations • saddle point problems • Stokes and Navier-Stokes equations • support of analysis by numerical results • turbulence problems |
| ISBN-10 | 3-319-45749-7 / 3319457497 |
| ISBN-13 | 978-3-319-45749-9 / 9783319457499 |
| Zustand | Neuware |
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