| 摘要 | 第1-10页 |
| Abstract | 第10-14页 |
| Chapter 1 Introduction | 第14-19页 |
| Chapter 2 Euler System of Fluid Dynamics and Material interfaces | 第19-26页 |
| ·One-dimensional Euler System of Fluid Dynamics | 第19-22页 |
| ·Two-dimensional Euler System of Fluid Dynamics | 第22-24页 |
| ·Two-fluid Flows and Material Interfaces | 第24-26页 |
| Chapter 3 Conservative Front-Tracking Method | 第26-34页 |
| ·1D PDE's Describing the Motion of Discontinuity Curve | 第27-29页 |
| ·Numerical Solution | 第29-30页 |
| ·Algorithm | 第30-31页 |
| ·Extension to the Euler System | 第31-34页 |
| Chapter 4 Numerical Simulation of Shock-Bubble Interactions | 第34-66页 |
| ·Experiment Descriptions | 第34-38页 |
| ·Previous Numerical Works | 第38-43页 |
| ·Set-up of Our Simulations | 第43-44页 |
| ·Numerical Simulation of Air-Helium case | 第44-57页 |
| ·Assessment of the Simulation | 第44-51页 |
| ·New Discoveries and Understanding | 第51-57页 |
| ·Numerical Simulation of Air-R22 Case | 第57-66页 |
| ·Assessment of the Simulation | 第57-62页 |
| ·New Discoveries and Understanding | 第62-66页 |
| Chapter 5 Numerical Simulations of Single-Mode RM-Instability Problems | 第66-87页 |
| ·Richtmyer-Meshkov Instability | 第66-69页 |
| ·Set-up of the Numerical Simulations | 第69-74页 |
| ·Numerical Results and Comparisons | 第74-87页 |
| ·Benjamin's Air-SF_6 Experiments | 第76-78页 |
| ·Secondary Wave Influences for Air-SF_6 Case | 第78-79页 |
| ·Late-time Growth Rate for Air-SF_6 Case | 第79-82页 |
| ·Meshkov's Air-helium Experiment | 第82-87页 |
| Chapter 6 Conclusion | 第87-88页 |
| Bibliography | 第88-98页 |
| List of Publications | 第98-99页 |
| Acknowledgements | 第99页 |
