| Chinese Abstract | 第1-7页 |
| English Abstract | 第7-10页 |
| Contents | 第10-13页 |
| Chapter One Introduction | 第13-23页 |
| ·Background | 第13-14页 |
| ·Literature Review | 第14-20页 |
| ·Review of Differential Quadrature(DQ)Method | 第14-18页 |
| ·Relevant Review | 第18-20页 |
| ·Outline of the Thesis | 第20-23页 |
| Chapter Two Differential Quadrature and Fundamental Equations for Fluid Mechanics | 第23-39页 |
| ·Introduction | 第23页 |
| ·Concepts and Conclusions in DQ | 第23-31页 |
| ·Determination of the Weighting Coefficients | 第24-28页 |
| ·Samples of Typical Grid Distributions | 第28-29页 |
| ·Examples for Weighting Coefficients Matrix | 第29-31页 |
| ·Numerical Methods to Solve DQ Equations | 第31-36页 |
| ·Direct Methods | 第33-34页 |
| ·Iterative Methods | 第34-36页 |
| ·Description of Problems | 第36-39页 |
| Chapter Three Traditional and Mixed Differential Quadrature Methods for Solving the Coupled Two-Dimensional Incompressible Navier-Stokes Equations and Heat Equation | 第39-59页 |
| ·Introduction | 第39-40页 |
| ·Mathematical Formulations | 第40-42页 |
| ·Differential Quadrature Formulations | 第42-52页 |
| ·Traditional Differential Quadrature(TDQ)Method | 第44-48页 |
| ·Mixed Differential Quadrature(MDQ)Method | 第48-52页 |
| ·Numerical Results and Discussions | 第52-59页 |
| Chapter Four Upwind Local Differential Quadrature Method for Solving Coupled Viscous Fluid Flow and Heat Transfer Equation | 第59-80页 |
| ·Introduction | 第59-60页 |
| ·Upwind Local Differential Quadrature Method | 第60-65页 |
| ·Differential Quadrature Method | 第60-62页 |
| ·Upwind Mechanism Local DQ Method | 第62-65页 |
| ·Mathematical Formulations | 第65-71页 |
| ·Governing Equations | 第65-67页 |
| ·Discretization of Governing Equations by ULDQ Method | 第67-71页 |
| ·Numerical Results and Discussions | 第71-80页 |
| Chapter Five Differential Quadrature Method for Solving Steady Flow of the Second-Order Incompressible Viscoelastic Fluid and Heat Transfer Problem | 第80-100页 |
| ·Introduction | 第80-81页 |
| ·Mathematical Model for the problem | 第81-84页 |
| ·Perturbation Method | 第84-87页 |
| ·Numerical Formulations | 第87-92页 |
| ·Results and Discussions | 第92-100页 |
| Chapter Six Application of Differential Quadrature Method for Solving a Fully Developed Flow Problem of Incompressible Second-Order Viscoelastic Fluid Coupled with Heat Transfer | 第100-119页 |
| ·Introduction | 第100-101页 |
| ·Governing Equations of the Problem | 第101-106页 |
| ·Numerical Methods | 第106-110页 |
| ·Numerical Results and Discussions | 第110-119页 |
| Chapter Seven Conclusions and Expectations | 第119-122页 |
| ·The Main Conclusions of the Dissertation | 第119-121页 |
| ·Expectations | 第121-122页 |
| References | 第122-133页 |
| Publications | 第133-134页 |
| Acknowledgement | 第134页 |
