| R-M不稳定性数值模拟方法 |
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| 引用本文： | 赵宁,余彦,唐维军. R-M不稳定性数值模拟方法[J]. 计算数学, 2001, 23(4): 477-490 |
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| 作者姓名： | 赵宁 余彦 唐维军 |
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| 作者单位： | 1. 南京航空航天大学空气动力学系,
2. 北京应用物理与计算数学研究所, |
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| 基金项目： | 国家自然科学基金（19932010，10072028），中国工程物理研究院院外基金（99060933），教育部（2000年） |
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| 摘 要： | １．引 言 受扰动的两轻重流体的交界面，当处于方向由重流体指向轻流体的有效重力场中或受到冲击波作用时扰动将发展，界面将失稳，两种物质将发生湍流混合．重力场作用下的不稳定性，人们常称为Ｒａｙｌｅｉｇｈ－Ｔａｙｌｏｒ（简称Ｒ－Ｔ）不稳定性，激波作用下的界面不稳定性，则常称为 Ｒｉｃｈｔｍｙｅｒ－Ｍｅｓｈｋｏｖ（简称 Ｒ－Ｍ）不稳定性．在惯性约束核聚变（ＩＣＦ）中，由于Ｒ－Ｔ和Ｒ－Ｍ不稳定性的作用，将影响到氘氚气体的内爆压缩、升温、点火和燃烧［７］． 界面不稳定性的研究因其应用背景和学术价值在近二十多年受…
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| 关 键 词： | 界面追踪 黎曼解 高分辨MmB格式 数值模拟 界面不稳定性 欧拉方程 流体力学 |
| 修稿时间： | 2000-08-08 |
NUMERICAL SIMULATION METHODS TO RICHTMYER-MESHKOV INSTABILITIES |
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| Zhao Ning Yu Yan. NUMERICAL SIMULATION METHODS TO RICHTMYER-MESHKOV INSTABILITIES[J]. Mathematica Numerica Sinica, 2001, 23(4): 477-490 |
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| Authors: | Zhao Ning Yu Yan |
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| Affiliation: | Zhao Ning Yu Yan (Department of Aerodynamics, Nanjing University of Aeronautics & Astronautics, Nanjing,210016) Tang Weijun (Beijing Institute of Applied Physics and Computational Mathematics, Beijing, 100088) |
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| Abstract: | Front Tracking algorithms have generally assumed that the computational medium is divided into piece-wise smooth subdomains bounded by interfaces and that strong wave interactions are solved via Riemann solutions. However , in multidimensional cases, the Riemann solution of multiple shock wave interactions are far more complicated and still subject to analytical study. For this reason ,it is very desirable to be able to track contact discontinuities only. In this paper , we describe a new numerical algorithm to couple a tracked contact surface and an un tracked strong shock wave. The new tracking algorithm reduces the complication of computation , and maintains the sharp resolution of the contact surface. The numerical results are in good agreement. |
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| Keywords: | Front Tracking Riemann solver high resolution MmB scheme limiter switch |
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