Finite Element Methods for Incompressible Flow Problems

• Κύριος συγγραφέας: John, Volker (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Σειρά: Springer Series in Computational Mathematics, 51
• Θέματα: Mathematics.; Partial differential equations.; Computer mathematics.; Computational Mathematics and Numerical Analysis.; Partial Differential Equations.

 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. .