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Numerical Heat Transfer and Fluid Flow(《传热与流体流动的数值计算》)

Preface
1 INTRODUCTION
1.1 Scope of the Book
1.2 Methods of Prediction
1.2-1 Experimental Investigation
1.2-2 Theoretical Calculation
1.2-3 Advantages of a Theoretical Calculation
1.2-4 Disadvantages of a Theoretical Calculation
1.2-5 Choice of Prediction Method
1.3 Outline of the Book

2 MATHEMATICAL DESCRIPTION OF PHYSICAL PHENOMENA
2.1 Governing Differential Equations
2.1-1 Meaning of a Differential Equation
2.1-2 Conservation of a Chemical Species
2.1-3 The Energy Equation
2.1-4 A Momentum Equation
2.1 5 The Time-Averaged Equations for Turbulent Flow
2.1-6 The Turbulence-Kiic-Energy Equation
2.1-7 The General Differential Equation
2.2 Nature of Coordinates
2.2-1 Independent Variables
2.2-2 Proper Choice of Coordinates
2.2-3 One-Way and Two-Way Coordinates
Problems

3 DISCRETIZATION METHODS
3.1 The Nature of Numerical Methods
3,1-1 The Task
3,1 2 The Discretization Concept
3.1-3 The Structure of the Discretization Equation
3.2 Methods of Deriving the Discretization Equations
3.2-1 Taylor-Series Formulation
3.2-2 Variational Formulation
3.2-3 Method of Weighted Residuals
3.2-4 Control-Volume Formulation
3.3 An Illustrative Example
3.4 The Four Basic Rules
3.5 Closure
Problems

4 HEAT CONDUCTION
4.1 Objectives of the Chapter
4.2 Steady One-dimensional Conduction
4.2-1 The Basic Equations
4.2-2 The Grid Spacing
4.2-3 The Interface Conductmty
4.2-4 Nonlinearity
4.2-5 Source-Term Linearization
4.2-6 Boundary Conditions
4.2-7 Solution of the Linear Algebraic Equations
4.3 Unsteady One-dimensional Conduction
4.3-1 The General Discretization Equation
4.3-2 Explicit, Crank-Nicolson, and Fully Implicit Schemes
4.3-3 The Fully Implicit Discretization Equation
4.4 Two- and Three-dimensional Situations
4.4-1 Discretization Equation for Two Dimensions
4.4-2 Discretization Equation for Three Dimensions
4.4-3 Solution of the Algebraic Equations
4.5 Overrelaxation and Underrelaxation
4.6 Some Geometric Considerations
4.6-1 Location of the Control-Volume Faces
4.6-2 Other Coordinate Systems
4.7 Closure
Problems

5 CONVECTION AND DIFFUSION
5.1 The Task
5.2 Steady One-dimensional Convection and Diffusion
5.2-1 A Preliminary Derivation
5.2-2 The Upwind Scheme
5.2-3 The Exact Solution
5.2-4 The Exponential Scheme
……
6 CALCULATION OF THE FLOW FIELD
7 FINISHING TOUCHES
8 SPECIAL TOPICS
9 ILLUSTRATIVE APPLICATIONS
Nomenclature
References
Index
http://www.hskmm.com/?act=detail&tid=28452

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