Finite Element Methods for Incompressible Flow Problems, Softcover reprint of the original 1st ed. 2016
Springer Series in Computational Mathematics Series, Vol. 51

Language: English

242.64 €

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Finite Element Methods for Incompressible Flow Problems
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232.09 €

In Print (Delivery period: 15 days).

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Finite Element Methods for Incompressible Flow Problems
Publication date:
Support: Print on demand

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.   

 

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