- Uniform presentation of finite element methods for incompressible flow problems
- Covers stationary and time-dependent problems
- Emphasis on numerical analysis
- Overview of analytical results for turbulence models
- Step-by-step presentation of proofs for facilitating the understanding
Buy this book
- About this book
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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.
- Reviews
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“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)
- Table of contents (9 chapters)
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Introduction
Pages 1-6
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The Navier–Stokes Equations as Model for Incompressible Flows
Pages 7-24
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Finite Element Spaces for Linear Saddle Point Problems
Pages 25-135
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The Stokes Equations
Pages 137-242
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The Oseen Equations
Pages 243-300
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Table of contents (9 chapters)
Bibliographic Information
- Bibliographic Information
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- Book Title
- Finite Element Methods for Incompressible Flow Problems
- Authors
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- Volker John
- Series Title
- Springer Series in Computational Mathematics
- Series Volume
- 51
- Copyright
- 2016
- Publisher
- Springer International Publishing
- Copyright Holder
- Springer International Publishing Switzerland
- eBook ISBN
- 978-3-319-45750-5
- DOI
- 10.1007/978-3-319-45750-5
- Hardcover ISBN
- 978-3-319-45749-9
- Softcover ISBN
- 978-3-319-83364-4
- Series ISSN
- 0179-3632
- Edition Number
- 1
- Number of Pages
- XIII, 812
- Number of Illustrations
- 35 b/w illustrations, 85 illustrations in colour
- Topics
