| 激波管中动态相变的数值研究 |
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| 引用本文： | 王平,唐少强. 激波管中动态相变的数值研究[J]. 应用数学和力学, 2007, 28(7): 824-832 |
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| 作者姓名： | 王平 唐少强 |
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| 作者单位： | 大连理工大学 工程力学系 工业装备结构分析国家重点实验室,大连 116024;2.北京大学 力学与工程科学系 湍流国家重点实验室,北京 100871 |
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| 基金项目： | 国家重点基础研究发展计划(973计划);国家自然科学基金 |
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| 摘 要： | 用松弛模型研究了范德瓦流体中的激波管问题．当松弛参数趋于0时模型存在一个确定的黎曼解．在数值方面推导了松弛格式（relaxing）和完全松弛格式（relaxed）．在一维问题中，对于不同的剖面，数值模拟显示结果趋向于黎曼解，在理论上和数值上研究了参数的影响．对于特定的初始激波剖面，观察到了非经典的反射波．在二维问题中，研究了曲面波前的数值演化，得到一些有趣的波斑图．
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| 关 键 词： | 相变 激波 松弛 |
| 文章编号： | 1000-0887（2007）07-0824-09 |
| 收稿时间： | 2006-11-20 |
| 修稿时间： | 2006-11-20 |
Numerical Study of Dynamic Phase Transitions in Shock Tube |
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| WANG Ping,TANG Shao-qiang. Numerical Study of Dynamic Phase Transitions in Shock Tube[J]. Applied Mathematics and Mechanics, 2007, 28(7): 824-832 |
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| Authors: | WANG Ping TANG Shao-qiang |
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| Affiliation: | State Key Laboratory of Structural Analysis for Industrial Equipment; Department of Engineering Mechanics, Dalian University of Technology, Dalian 116024, P. R. China; |
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| Abstract: | Shock tube problem of a Van der Waals fluid with a relaxation model was investigated. In the limit of relaxation parameter tending towards zero, this model yields a specific Riemann solver. Relaxing and relaxed schemes were derived. For an incident shock in a fixed tube, numerical simulations show convergence toward the Riemann solution in one space dimension. Impact of parameters was studied theoretically and numerically. For certain initial shock profiles, nonclassical reflecting wave was observed. In two space dimensions, the effect of curved wave fronts was studied, and some interesting wave patterns were exposed. |
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| Keywords: | phase transition shock relaxation |
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