The finite element method for fluid dynamics

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The finite element method for fluid dynamics / O.C. Zienkiewicz, R.L. Taylor, P. Nithiarasu

版:

6th ed

資料種別:

図書

出版情報:

Amsterdam ; Oxford ; Tokyo : Elsevier Butterworth-Heinemann, 2005

形態:

xii, 435 p., 6 p. of plates ; 26 cm

著者名:

ISBN:

9780750663229 [0750663227]

書誌ID:

BA74976626

子書誌情報

フルテキスト

所蔵情報

他の版・巻

書誌詳細

注記:

"Published with the cooperation of CIMNE, the International Centre for Numerical Methods in Engineering, Barcelona, Spain."--T.p. verso
Includes bibliographies and indexes

主題:

Finite element method; Fluid dynamics

言語:

英語

目次情報:

Preface

Acknowledgements

Introduction to the equations of fluid dynamics and the finite element approximation / 1：

General remarks and classification of fluid dynamics problems discussed in this book / 1.1：

The governing equations of fluid dynamics / 1.2：

Inviscid, incompressible flow / 1.3：

Incompressible (or nearly incompressible) flows / 1.4：

Numerical solutions: weak forms, weighted residual and finite element approximation / 1.5：

Concluding remarks / 1.6：

References

Convection dominated problems - finite element approximations to the convection-diffusion-reaction equation / 2：

Introduction / 2.1：

The steady-state problem in one dimension / 2.2：

The steady-state problem in two (or three) dimensions / 2.3：

Steady state - concluding remarks / 2.4：

Transients - introductory remarks / 2.5：

Characteristic-based methods / 2.6：

Taylor-Galerkin procedures for scalar variables / 2.7：

Steady-state condition / 2.8：

Non-linear waves and shocks / 2.9：

Treatment of pure convection / 2.10：

Boundary conditions for convection-diffusion / 2.11：

Summary and concluding remarks / 2.12：

The characteristic-based split (CBS) algorithm. A general procedure for compressible and incompressible flow / 3：

Non-dimensional form of the governing equations / 3.1：

Characteristic-based split (CBS) algorithm / 3.3：

Explicit, semi-implicit and nearly implicit forms / 3.4：

Artificial compressibility and dual time stepping / 3.5：

'Circumvention' of the Babuska-Brezzi (BB) restrictions / 3.6：

A single-step version / 3.7：

Boundary conditions / 3.8：

The performance of two-step and one-step algorithms on an inviscid problem / 3.9：

Incompressible Newtonian laminar flows / 3.10：

Introduction and the basic equations / 4.1：

Use of the CBS algorithm for incompressible flows / 4.2：

Adaptive mesh refinement / 4.3：

Adaptive mesh generation for transient problems / 4.4：

Slow flows - mixed and penalty formulations / 4.5：

Incompressible non-Newtonian flows / 4.6：

Non-Newtonian flows - metal and polymer forming / 5.1：

Viscoelastic flows / 5.3：

Direct displacement approach to transient metal forming / 5.4：

Free surface and buoyancy driven flows / 5.5：

Free surface flows / 6.1：

Buoyancy driven flows / 6.3：

Compressible high-speed gas flow / 6.4：

The governing equations / 7.1：

Boundary conditions - subsonic and supersonic flow / 7.3：

Numerical approximations and the CBS algorithm / 7.4：

Shock capture / 7.5：

Variable smoothing / 7.6：

Some preliminary examples for the Euler equation / 7.7：

Adaptive refinement and shock capture in Euler problems / 7.8：

Three-dimensional inviscid examples in steady state / 7.9：

Transient two- and three-dimensional problems / 7.10：

Viscous problems in two dimensions / 7.11：

Three-dimensional viscous problems / 7.12：

Boundary layer-inviscid Euler solution coupling / 7.13：

Turbulent flows / 7.14：

Treatment of incompressible turbulent flows / 8.1：

Treatment of compressible flows / 8.3：

Large eddy simulation / 8.4：

Detached Eddy Simulation (DES) / 8.5：

Direct Numerical Simulation (DNS) / 8.6：

Generalized flow through porous media / 8.7：

A generalized porous medium flow approach / 9.1：

Discretization procedure / 9.3：

Non-isothermal flows / 9.4：

Forced convection / 9.5：

Natural convection / 9.6：

Shallow water problems / 9.7：

The basis of the shallow water equations / 10.1：

Numerical approximation / 10.3：

Examples of application / 10.4：

Drying areas / 10.5：

Shallow water transport / 10.6：

Long and medium waves / 10.7：

Introduction and equations / 11.1：

Waves in closed domains - finite element models / 11.2：

Difficulties in modelling surface waves / 11.3：

Bed friction and other effects / 11.4：

The short-wave problem / 11.5：

Waves in unbounded domains (exterior surface wave problems) / 11.6：

Unbounded problems / 11.7：

Local Non-Reflecting Boundary Conditions (NRBCs) / 11.8：

Infinite elements / 11.9：

Mapped periodic (unconjugated) infinite elements / 11.10：

Ellipsoidal type infinite elements of Burnett and Holford / 11.11：

Wave envelope (or conjugated) infinite elements / 11.12：

Accuracy of infinite elements / 11.13：

Trefftz type infinite elements / 11.14：

Convection and wave refraction / 11.15：

Transient problems / 11.16：

Linking to exterior solutions (or DtN mapping) / 11.17：

Three-dimensional effects in surface waves / 11.18：

Short waves / 11.19：

Background / 12.1：

Errors in wave modelling / 12.3：

Recent developments in short wave modelling / 12.4：

Transient solution of electromagnetic scattering problems / 12.5：

Finite elements incorporating wave shapes / 12.6：

Refraction / 12.7：

Spectral finite elements for waves / 12.8：

Discontinuous Galerkin finite elements (DGFE) / 12.9：

Computer implementation of the CBS algorithm / 12.10：

The data input module / 13.1：

Solution module / 13.3：

Output module / 13.4：

Non-conservative form of Navier-Stokes equations / Appendix A：

Self-adjoint differential equations / Appendix B：

Postprocessing / Appendix C：

Integration formulae / Appendix D：

Convection-diffusion equations: vector-valued variables / Appendix E：

Edge-based finite element formulation / Appendix F：

Multigrid method / Appendix G：

Boundary layer-inviscid flow coupling / Appendix H：

Mass-weighted averaged turbulence transport equations / Appendix I：

Author index

Subject index

Preface

Acknowledgements

Introduction to the equations of fluid dynamics and the finite element approximation / 1：

General remarks and classification of fluid dynamics problems discussed in this book / 1.1：

The governing equations of fluid dynamics / 1.2：

Inviscid, incompressible flow / 1.3：

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