| 作 者： | 许为厚 |
| 出版社： | 科学出版社 |
| 丛编项： | |
| 版权说明： | 本书为出版图书，暂不支持在线阅读，请支持正版图书 |
| 标 签： | 力学 |
| ISBN | 出版时间 | 包装 | 开本 | 页数 | 字数 |
|---|---|---|---|---|---|
| 未知 | 暂无 | 暂无 | 未知 | 0 | 暂无 |
Chapter 1 Introduction
1.1 CFD as Numerical Solution to Nonlinear Hyperbolic PDEs
1.2 Role of Coordinates in CFD
1.3 Outline of the Book
References
Chapter 2 Derivation of Conservation Law Equations
2.1 Fluid as a Continuum
2.2 Derivation of Conservation Law Equations in FixedCoordinates
2.3 Conservation Law Equations in Moving Coordinates
2.4 Integral Equations versus Partial Differential Equations
2.5 The Entropy Condition for Inviscid Flow Computation
References
Chapter 3 Review of Eulerian Computation for 1-D InviscidFlow
3.1 Flow Discontinuities and Rankine-Hugoniot Conditions
3.2 Classification of Flow Discontinuities
3.3 Riemann Problem and its Solution
3.4 Preliminary Considerations of Numerical Computation
3.5 Godunov Scheme
3.6 High Resolution Schemes and Limiters
3.7 Defects of Eulerian Computation
References
Chapter 4 I-D Flow Computation Using the Unified Coordinates
4.1 Gas Dynamics Equations Based on the Unified Coordinates
4.2 Shock-Adaptive Godunov Scheme
4.3 The Use of Entropy Conservation Law for Smooth FlowComputation
4.4 The Unified Computer Code
4.5 Cure of Defects of Eulerian and Lagrangian Computation by theUC Method
4.6 Conclusions
References
Chapter 5 Comments on Current Methods for Multi-Dimensional FlowComputation
5.1 Eulerian Computation
5.2 Lagrangian Computation
5.3 The ALE Computation
5.4 Moving Mesh Methods
5.5 Optimal Coordinates
References
Chapter 6 The Unified Coordinates Formulation of CFD
6.1 Hui Transformation
6.2 Geometric Conservation Laws
6.3 Derivation of Governing Equations in Conservation Form
References
Chapter 7 Properties of the Unified Coordinates
7.1 Relation to Eulerian Computation
7.2 Relation to Classical Lagrangian Coordinates
7.3 Relation to Arbitrary-Lagrangian-Eulerian Computation
7.4 Contact Resolution
7.5 Mesh Orthogonality
7.6 Unified Coordinates for Steady Flow
7.7 Effects of Mesh Movement on the Flow
7.8 Relation to Other Moving Mesh Methods
7.9 Relation to Mesh Generation and the Level-Set FunctionMethod
References
Chapter 8 Lagrangian Gas Dynamics
8.1 Lagrangian Gas Dynamics Equations
8.2 Weak Hyperbolicity
8.3 Non-Equivalency of Lagrangian and Eularian Formulation
References
Chapter 9 Steady 2-D and 3-D Supersonic Flow
9.1 The Unified Coordinates for Steady Flow
9.2 Euler Equations in the Unified Coordinates
9.3 The Space-Marching Computation
9.4 Examples
……
Chapter 10 Unsteady 2-D and 3-D Flow Computation
Chapter 11 Viscous Flow Computation Using Navier-StokesEquations
Chapter 12 Applications of the Unified Coordinates to KineticTheory
Chapter 13 Summary
Appendix A Riemann Problem for 1-D Flow in the UnifiedCoordinate
Appendix B Computer Code for 1-D Flow in the Unified Coordinate
