Overview

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.

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9783319833644

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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)

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