Finite element methods for incompressible flow problems
著者
書誌事項
Finite element methods for incompressible flow problems
（Springer series in computational mathematics, 51）
Springer, c2016
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注記
Includes bibliographical references (p. 785-803) and index
内容説明・目次
内容説明
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.
目次
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.
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