1.

Record Nr.

UNINA9910148853803321

Autore

John Volker

Titolo

Finite Element Methods for Incompressible Flow Problems / / by Volker John

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016

ISBN

9783319457505

Edizione

[1st ed. 2016.]

Descrizione fisica

1 online resource (XIII, 812 p. 120 illus., 85 illus. in color.)

Collana

Springer Series in Computational Mathematics, , 2198-3712 ; ; 51

Disciplina

620.00151535

Soggetti

Mathematics - Data processing

Differential equations

Computational Mathematics and Numerical Analysis

Differential Equations

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

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. .

Sommario/riassunto

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.