Finite Element Methods for Incompressible Flow Problems

✍ Scribed by Volker John (auth.)

Publisher: Springer International Publishing
Year: 2016
Tongue: English
Leaves: 816
Series: Springer Series in Computational Mathematics 51
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages i-xiii
Introduction....Pages 1-6
The Navier–Stokes Equations as Model for Incompressible Flows....Pages 7-24
Finite Element Spaces for Linear Saddle Point Problems....Pages 25-135
The Stokes Equations....Pages 137-242
The Oseen Equations....Pages 243-300
The Steady-State Navier–Stokes Equations....Pages 301-353
The Time-Dependent Navier–Stokes Equations: Laminar Flows....Pages 355-445
The Time-Dependent Navier–Stokes Equations: Turbulent Flows....Pages 447-647
Solvers for the Coupled Linear Systems of Equations....Pages 649-675
Back Matter....Pages 677-812

✦ Subjects

Computational Mathematics and Numerical Analysis;Partial Differential Equations

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