The finite element method for fluid dynamics /
Annotation
Clasificación: | Libro Electrónico |
---|---|
Autor principal: | |
Otros Autores: | , |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
Oxford ; Boston :
Elsevier Butterworth-Heinemann,
2005.
|
Edición: | 6th ed. |
Temas: | |
Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover
- Contents
- Preface
- Acknowledgements
- 1 Introduction to the equations of fluid dynamics and the finite element approximation
- 1.1 General remarks and classification of fluid dynamics problems discussed in this book
- 1.2 The governing equations of fluid dynamics
- 1.3 Inviscid, incompressible flow
- 1.4 Incompressible (or nearly incompressible) flows
- 1.5 Numerical solutions: weak forms, weighted residual and finite element approximation
- 1.6 Concluding remarks
- References
- 2 Convection dominated problems
- finite element approximations to the convection-diffusion-reaction equation
- 2.1 Introduction
- 2.2 The steady-state problem in one dimension
- 2.3 The steady-state problem in two (or three) dimensions
- 2.4 Steady state
- concluding remarks
- 2.5 Transients
- introductory remarks
- 2.6 Characteristic-based methods
- 2.7 Taylor
- Galerkin procedures for scalar variables
- 2.8 Steady-state condition
- 2.9 Non-linear waves and shocks
- 2.10 Treatment of pure convection
- 2.11 Boundary conditions for convection
- diffusion
- 2.12 Summary and concluding remarks
- References
- 3 The characteristic-based split (CBS) algorithm. A general procedure for compressible and incompressible flow
- 3.1 Introduction
- 3.2 Non-dimensional form of the governing equations
- 3.3 Characteristic-based split (CBS) algorithm
- 3.4 Explicit, semi-implicit and nearly implicit forms
- 3.5 Artificial compressibility and dual time stepping
- 3.6 'Circumvention' of the Babu ka
- Brezzi (BB) restrictions
- 3.7 A single-step version
- 3.8 Boundary conditions
- 3.9 The performance of two-step and one-step algorithms on an inviscid problem
- 3.10 Concluding remarks
- References
- 4 Incompressible Newtonian laminar flows
- 4.1 Introduction and the basic equations
- 4.2 Use of the CBS algorithm for incompressible flows
- 4.3 Adaptive mesh refinement
- 4.4 Adaptive mesh generation for transient problems
- 4.5 Slow flows
- mixed and penalty formulations
- 4.6 Concluding remarks
- References
- 5 Incompressible non-Newtonian flows
- 5.1 Introduction
- 5.2 Non-Newtonian flows
- metal and polymer forming
- 5.3 Viscoelastic flows
- 5.4 Direct displacement approach to transient metal forming
- 5.5 Concluding remarks
- References
- 6 Free surface and buoyancy driven flows
- 6.1 Introduction
- 6.2 Free surface flows
- 6.3 Buoyancy driven flows
- 6.4 Concluding remarks
- References
- 7 Compressible high-speed gas flow
- 7.1 Introduction
- 7.2 The governing equations
- 7.3 Boundary conditions
- subsonic and supersonic flow
- 7.4 Numerical approximations and the CBS algorithm
- 7.5 Shock capture
- 7.6 Variable smoothing
- 7.7 Some preliminary examples for the Euler equation
- 7.8 Adaptive refinement and shock capture in Euler problems
- tidtid6389.