| 任意Atwood数Rayleigh-Taylor和 Richtmyer-Meshkov 不稳定性气泡速度研究 |
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| 引用本文： | 陶烨晟,王立锋,叶文华,张广财,张建成,李英骏.任意Atwood数Rayleigh-Taylor和 Richtmyer-Meshkov 不稳定性气泡速度研究[J].物理学报,2012,61(7):75207-075207. |
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| 作者姓名： | 陶烨晟 王立锋 叶文华 张广财 张建成 李英骏 |
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| 作者单位： | 1. 中国矿业大学(北京)深部岩土力学与地下工程国家重点实验室, 北京 100083;2. 北京应用物理与计算数学研究所, 北京 100088;3. 北京大学应用物理与技术研究中心, 北京 100871;4. 北京林业大学, 北京 100083 |
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| 基金项目： | 国家重点基础研究发展计划(973项目) (批准号: 2007CB815100)和 国家自然科学基金 (批准号: 10935003, 10775020, 11074300, 10874242和11075024)资助的课题. |
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| 摘 要： | 本文将Layzer气泡模型推广到任意界面Atwood数情形,得到了自洽的微分方程组.该模型描述了气泡从早期的指数增长阶段到气 泡以渐近速度上升的非线性阶段的发展过程,给出了Rayleigh-Taylor(RT)和Richtmyer-Meshkov(RM)不稳定性的二维和 三维气泡速度渐近解,还求出了二维和三维RT不稳定性气泡顶点附近速度的解析解.
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| 关 键 词： | Rayleigh-Taylor不稳定性 Richtmyer-Meshkov不稳定性 Atwood数 非线性 |
| 收稿时间： | 2010-12-22 |
The bubble velocity research of Rayleigh-Taylor and Richtmyer-Meshkov instabilities at arbitrary Atwood numbers |
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| Tao Ye-Sheng,Wang Li-Feng,Ye Wen-Hua,Zhang Guang,Zhang Jian-Cheng,Li Ying-Jun.The bubble velocity research of Rayleigh-Taylor and Richtmyer-Meshkov instabilities at arbitrary Atwood numbers[J].Acta Physica Sinica,2012,61(7):75207-075207. |
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| Authors: | Tao Ye-Sheng Wang Li-Feng Ye Wen-Hua Zhang Guang Zhang Jian-Cheng Li Ying-Jun |
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| Institution: | 1. State Key Laboratory for GeoMechanics and Deep Underground Engineering, China University of Mining and Technology, Beijing 100083, China;2. Institute of Applied Physics and Computational Mathematics, Beijing 100088, China;3. Center for Applied Physics and Technology , Peking University, Beijing 100871, China;4. Beijing Forestry University, Beijing 100083, China |
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| Abstract: | We generalize the Layzer's bubble model to the cases of two-dimensional and three-dimensional analytical models of an arbitrary interface Atwood number and obtain self-consistent equations. The generalized model provides a continuous bubble evolution from the earlier exponential growth to the nonlinear regime. The asymptotic bubble velocities are obtained for the Rayleigh-Taylor(RT) and Richtmyer-Meshkov(RM) instabilities. We also report on the two-dimensional and the three-dimensional analytical expressions for the evolution of the RT bubble velocity. |
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| Keywords: | Rayleigh-Tayor instability Richtmyer-Meshkov instability Atwood number nonlinear |
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