Part I Basic Thoughts and Equations
1 Philosophy of Computational Fluid Dynamics
1.1 Computational Fluid Dynamics:Why?
1.2 Computational Fluid Dynamics as a Research Tool
1.3 Computational Fluid Dynamics as a Design Tool
1.4 The Impact of Computational Fluid Dynamics-Some Other
1.5 Computational Fluid Dynamics:What Is It?
1.6 The Purpose of This Book
2 The Governing Equations of Fluid Dynamics: Their Derivation,a Discussion of Their Physical Meaning,and a Presentation of Forms Particularly Suitable to CFD
2.1 Introduction
2.2 Models of the Flow
2.3 The Substantial Derivative(Time Rate of Change Following a Moving Fluid Element
2.4 The Divergence of the Velocity:Its Physical Meaning
2.5 The Continuity Equation
2.6 The Monetum Equation
2.7 The Energy Equation
2.8 Summary of the Governing Equations for Fluid Dynamics
2.9 Physical Boundary Conditions
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3 Mathematical Behavior of Partial Differential Equations: The Impact on CFD Part II Basics of the Numerics
4 Basic Aspects of Discretization
5 Grids with Appropriate Transformations
6 Some Simple CFD Techniques: A Beginning
Part III Some Applications
7 Numerical Solutions of Quasi-One-Dimensional Nozzle Flows
8 Numerical Solution of a Two-Dimensional Supersonic Flow: Prandtl-Meyer Expansion Wave
9 Incompressible Couette Flow: Numerical Solutions by Means of an Implicit Method and the Pressure Correction Method
10 Supersonic Flow over a Flat Plate: Numerical Solution by Solving the Complete Navier-Stodes Equations Part IV Other Topics
11 Some Advanced Topics in Modern CFD: A Discussion
12 The Future of CFD