7.3 Conservation of Discretized Equations 7.4 Transportive Property of Discretized 7.5 Sign-preservation Principle for Analyzing 7.3.1 Definition and analyzing model 7.3.2 Direct summation method 7.3.3 Conditions for guaranteeing conservation 7.3.4 Discussion－expected but not necessary 7.3.2 Direct summation method (直接求和法) 7.3.4 Discussion－Conservation is expected but not 7.4.1 Essential (基本的) difference between 7.4 Transportive (迁移)Character of Discretized 7.4.2 CD of diffusion term can propagate(传播) 7.4.3 Analysis of transport character of 7.4.4 Upwind scheme of convection term 7.4.5 Discussion on transport character of 7.4.1 Essential difference between convection 7.4 Transportive Property of Discretized Equations 7.4.3 Analysis of transport character (迁移特性) of 7.4.4 Upwind scheme (迎风格式) of convective 7.4.5 Discussion on transportive character of 7.5 Stability analysis of discretized diffusion￾convection equation

8.1 Introduction to turbulence 8.2 Time-averaged governing equation for incompressible convective heat transfer 8.3 Zero-equation and one-equation model 8.4 Two-equation model 8.5 Wall function method 8.6 Low-Reynolds number k-epsilon model 8.7 Brief introduction to recent developments

6.4.1 Calculation procedure of SIMPLE algorithm 6.4.2 Approximations in SIMPLE algorithm 6.4.3 Numerical example 6.4 Approximations in SIMPLE algorithm 6.4 Approximations in SIMPLE Algorithm 6.5 Discussion on SIMPLE and Convergence Criteria 6.5.1 Discussion on SIMPLE algorithm 6.5.2 Convergence criteria of flow field iteration 6.6 Developments of SIMPLE algorithm 6.6.1 SIMPLER－Overcoming 1st assumption of 6.6.2 SIMPLEC－Partially overcoming 2nd assumption 6.6.3 SIMPLEX－ Partially overcoming 2nd 6.6.4 Comparisons of algorithms 6.6.2 SIMPLEC－Partially overcoming the 2nd 6.6.3 SIMPLEX algorithm 6.6.5 IDEAL algorithms

7.1 Consistence, Convergence and Stability of Discretized Equations 7.1.1 Truncation error and consistence(相容性） 7.1.3 Round off error （舍入误差）and stability （稳定性） of initial problems（初值问题） 7.1.4 Examples 7.1.2 Discretization error（离散误差） and convergence(收敛性） 7.2 von Neumann Method for Analyzing Stability of Initial Problems 7.2.1 Propagation of error vector with time 7.2.2 Discrete Fourier expansion 7.2.3 Basic idea of von Neumann analysis 7.2.4 Examples of von Neumann analysis 7.2.5 Discussion on von Neumann analysis

6.7 Boundary condition treatments for open system 6.7.1 Selections for outlet boundary 6.7.2 Treatment of outlet boundary condition 6.7.3 Treatment of outlet boundary condition with 6.7.4 Methods for outlet normal velocity satisfying 6.7.1 Selections for outlet boundary position 6.7.2 Treatment of B.C. without recirculation 6.7.4 Methods for outlet normal velocity to satisfy 6.8.1 Natural convection in an enclosure 6.8.2 Numerical treatments of island (孤岛) 6.8 Fluid Flow and Heat Transfer in a Closed System 6.8 Fluid Flow and Heat Transfer in a Closed system 6.8.1 Natural convection in enclosure 6. Other examples of flow in enclosure 6.8.2 Numerical treatments for isolated island

5.1 Introduction to Solution Methods of ABEqs 5.2 Construction of Iteration Methods of Linear Algebraic Equations 5.3 Convergence Conditions and Acceleration Methods for Solving Linear ABEqs. 5.4 Block Correction Method –Promoting Conservation Satisfaction 5.5 Multigrid Techniques –Promoting Simultaneous Attenuation of Different Wave-length Components

6.1 Source terms in momentum equations and two key issues in numerically solving momentum equation 6.1.1 Introduction 6.1.2 Source in momentum equations 6.1.3 Two key issues in solving flow field 6.2 Staggered grid system and discretization of momentum equation 6.2.1 Staggered grid(交叉网格) 6.2.2 Discretization of momentum equation in staggered grid 6.2.3 Interpolation in staggered grid 6.2.4 Remarks 1. Flow rate at a node 2. Density at interface 3. Conductance at interface 6.3 Pressure correction methods for N-S equation 6.3.1 Basic idea of pressure correction methods 6.3.2 Equations for velocity corrections of u ’, v ’ 6.3.3 Derivation of equation of pressure correction p ’ 6.3.4 Boundary condition for pressure correction

4.1 Two ways of discretization of convection term 4.2 CD and UD of the convection term 4.3 Hybrid and power-law schemes 4.4 Characteristics of five three-point schemes

4.5 Discussion on false diffusion 4.6 Methods for overcoming or alleviating effects of false diffusion 4.7 Discretization of multi-dimensional problem and B.C. treatment

3.4 TDMA & ADI Methods for Solving ABEs 3.6 Fully Developed HT in Rectangle Ducts 3.5 Fully Developed HT in Circular Tubes