| 等熵情形下同向疏散波和激波的相互作用问题 |
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| 引用本文： | 许盈. 等熵情形下同向疏散波和激波的相互作用问题[J]. 复旦学报(自然科学版), 2009, 48(6) |
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| 作者姓名： | 许盈 |
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| 作者单位： | 复旦大学数学科学学院,上海,200433 |
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| 摘 要： | 对于1维等熵情形,利用激波极线和特征轨线,对同向疏散波和激波相互作用的结果进行了分析,得到了相互作用结束后受干扰的波和反射波的性质及其与初始时刻疏散波和激波相对强度之间的关系.另外,利用Riemann不变量以及各物理量之间的依赖关系和变化趋势给出了相互作用区域内特征族的形态.
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| 关 键 词： | 流体力学方程组 相互作用 疏散波 激波 Riemann不变量 |
The Interaction of Isentropic Rarefaction Wave and Shock Wave of the Same Family |
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| XU Ying. The Interaction of Isentropic Rarefaction Wave and Shock Wave of the Same Family[J]. Journal of Fudan University(Natural Science), 2009, 48(6) |
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| Authors: | XU Ying |
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| Affiliation: | XU Ying(School of Mathematical Sciences,Fudan University,Shanghai 200433,China) |
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| Abstract: | In one-dimensional isentropic case,the interaction of a rarefaction wave and a shock wave in the same family is analyzed,using shock polar and characteristic trajectory.The properties of the disturbed waves and the reflected waves after interaction is obtained,and its relation with the relative strength of the initial waves is discussed.Moreover,using Riemann invariants and the relations between changing physical variables,the shape of characteristic curves in the interaction area is obtained. |
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| Keywords: | fluid dynamics equations interaction rarefaction wave shock wave Riemann invariants |
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