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

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

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

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

7.1 引言 7.3 欧拉法 7.5 单步法的收敛性与稳定性 7.2 离散变量法 7.6 线性多步法 7.4 龙格-库塔法 7.7 方程组与高阶方程初值问题的数值解法 7.8 数值实验

§3.1 曲线拟合的最小二乘法 §3.2 最小二乘法的求法 §3.3 最佳平方逼近 §3.4 数值实验

§5.1 数值积分公式 §5.2 牛顿-科特斯公式 §5.3 复化求积公式 §5.4 龙贝格求积公式 §5.5 高斯型求积公式 §5.6 数值微分 §5.7 数值实验

线性变换的矩阵表示 线性变换及矩阵的值域和核 特征值和特征向量 矩阵对角化的充要条件 内积空间

线性空间 坐标 基变换与坐标变换 线性子空间 定义及其性质 子空间的交与和