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Finite Element Methods for Incompressible Flow Problems de Volker John

Finite Element Methods for Incompressible Flow Problems: Springer Series in Computational Mathematics, cartea 51

Autor Volker John
en Limba Engleză Hardback – 4 noi 2016
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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Specificații

ISBN-13: 9783319457499
ISBN-10: 3319457497
Pagini: 828
Ilustrații: XIII, 812 p. 120 illus., 85 illus. in color.
Dimensiuni: 160 x 241 x 50 mm
Greutate: 1.39 kg
Ediția:1st edition 2016
Editura: Springer
Colecția Springer Series in Computational Mathematics
Seria Springer Series in Computational Mathematics

Locul publicării:Cham, Switzerland

Cuprins

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.   
 

Recenzii

“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)

Textul de pe ultima copertă

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.

Caracteristici

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