《有限元法（第3卷）》是2005年世界圖書出版公司出版的圖書，作者是R.L.Taylor。
基本介紹
- 中文名：有限元法（第3卷）
- 作者：R.L.Taylor
- 出版社：世界圖書出版公司
- 出版時間：2005年4月
- 頁數：334 頁
- 定價：56 元
- 裝幀：簡裝本
- ISBN：9787506265492
內容簡介,目錄,
內容簡介
這是一套在國際上頗具權威性的經典著作(共3卷)，由有限元法的創始人zienkiewicz教授和美國加州大學TayIor教授合作撰寫。本書初版於1967年，以後經過多次修訂再版，深受力學界和工程界科技人員的歡迎。本套書的特點是理論可靠，內容全面，既有基礎理論，又有其具體套用。適用於計算力學、力學、土木、水利、機械、航天航空等領域的專家、教授、工程技術人員和研究生。
目錄
PreJace to Volume
1 Introduction and the equations of fluid dynamics
1.1 General remarks and classification of fluid mechanics problems discussed in this book
1.2 The governing equations of fluid dynamics
1.3 Incompressible (or nearly incompressible) flows
1.4 Concluding remarks
References
2 Convection dominated problems - finite element approximations to the convection-diffusion 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 Vector-valued variables
2.11 Summary and concluding remarks
References
3 A general algorithm for compressible and incompressible flows - the characteristic-based split (CBS) algorithm
3.1 Introduction
3.2 Characteristic-based split (CBS) algorithm
3.3 Explicit, semi-implicit and nearly implicit forms
3.4 Circumventing the Babuska-Brezzi (BB) restrictions
3.5 A single-step version
3.6 Boundary conditions
3.7 The performance of two- and single-step algorithms on an inviscid problem
3.8 Concluding remarks
References
4 Incompressible laminar flow - newtonian and non-newtonian fluids
4.1 Introduction and the basic equations
4.2 Inviscid, incompressible flow (potential flow)
4.3 Use of the CBS algorithm for incompressible or nearly incompressible flows
4.4 Boundary-exit conditions
4.5 Adaptive mesh refinement
4.6 Adaptive mesh generation for transient problems
4.7 Importance of stabilizing convective terms
4.8 Slow flows - mixed and penalty formulations
4.9 Non-newtonian flows - metal and polymer forming
4.10 Direct displacement approach to transient metal forming
4.11 Concluding remarks
References
5 Free surfaces, buoyancy and tucbulent incompressible flows
5.1 Introduction
5.2 Free surface flows
5.3 Buoyancy driven flows
5.4 Turbulent flows
References
6 Compressible high-speed gas flow
6.1 Introduction
6.2 The governing equations
6.3 Boundary conditions - subsonic and supersonic flow
6.4 Numerical approximations and the CBS algorithm
6.5 Shock capture
6.6 Some preliminary examples for the Euler equation
6.7 Adaptive refinement and shock capture in Euler problems
6.8 Three-dimensional inviscid examples in steady state
6.9 Transient two and three-dimensional problems
6.10 Viscous problems in two dimensions
6.11 Three-dimensional viscous problems
6.12 Boundary layer-inviscid Euler solution coupling
6.13 Concluding remarks
References
7 Shallow-water problems
7.1 Introduction
7.2 The basis of the shallow-water equations
7.3 Numerical approximation
……
8 Waves
9 Computer implementation of the CBS algorithm
Appendix A:Non-conservative form of Navier-Stokes equations
Appendix B:Discontinuous Galerkin methods in the solution of the convection-diffusion equation
Appendix C:Edge-based finite element formulation
Appendix D:Multigrid methods
Appendix E:Boundary layer-inviscid flow coupling
Author index
Subject index
