Finite Element Methods for Incompressible ...

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Sprache: Englisch

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Beschreibung

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.

Zusammenfassung

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

Inhaltsverzeichnis

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.

Erscheinungsjahr:	2016
Fachbereich:	Wahrscheinlichkeitstheorie
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Inhalt:	xiii 812 S. 35 s/w Illustr. 85 farbige Illustr. 812 p. 120 illus. 85 illus. in color.
ISBN-13:	9783319457499
ISBN-10:	3319457497
Sprache:	Englisch
Herstellernummer:	978-3-319-45749-9
Einband:	Gebunden
Autor:	John, Volker
Auflage:	1st edition 2016
Hersteller:	Springer International Publishing
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	241 x 160 x 50 mm
Von/Mit:	Volker John
Erscheinungsdatum:	04.11.2016
Gewicht:	1,39 kg