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Finite Element Methods for Incompressible Flow Problems

  • Book
  • © 2016

Overview

  • 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

Part of the book series: Springer Series in Computational Mathematics (SSCM, volume 51)

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Table of contents (9 chapters)

Keywords

About this book

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

“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)

Authors and Affiliations

  • Weierstrass Institute for Applied Analysis and Stochastics, Berlin, Germany

    Volker John

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