Effects of initial radius of the interface and Atwood number on nonlinear saturation amplitudes in cylindrical Rayleigh-Taylor instability

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	Effects of initial radius of the interface and Atwood number on nonlinear saturation amplitudes in cylindrical Rayleigh-Taylor instability
	Liu WH; Yu CP(于长平); Li XL(李新亮); Li XL(李新亮)
刊名	Physics of Plasmas
	2014
通讯作者邮箱	lixl@imech.ac.cn
卷号	21 页码:112103
ISSN号	1070-664X
通讯作者	李新亮
合作状况	国内
中文摘要	Nonlinear saturation amplitudes (NSAs) of the first two harmonics in classical Rayleigh-Taylor instability (RTI) in cylindrical geometry for arbitrary Atwood numbers have been analytically investigated considering nonlinear corrections up to the fourth-order. The NSA of the fundamental mode is defined as the linear (purely exponential) growth amplitude of the fundamental mode at the saturation time when the growth of the fundamental mode (first harmonic) is reduced by 10% in comparison to its corresponding linear growth, and the NSA of the second harmonic can be obtained in the same way. The analytic results indicate that the effects of the initial radius of the interface (r0) and the Atwood number (A) play an important role in the NSAs of the first two harmonics in cylindrical RTI. On the one hand, the NSA of the fundamental mode first increases slightly and then decreases quickly with increasing A. For given A, the smaller the r0=k (with k perturbation wavelength) is, the larger the NSA of the fundamental mode is. When r0=k is large enough (r0 k), the NSA of the fundamental mode is reduced to the prediction of previous literatures within the framework of third-order perturbation theory [J. W. Jacobs and I. Catton, J. Fluid Mech. 187, 329 (1988); S. W. Haan, Phys. Fluids B 3, 2349 (1991)]. On the other hand, the NSA of the second harmonic first decreases quickly with increasing A, reaching a minimum, and then increases slowly. Furthermore, the r0 can reduce the NSA of the second harmonic for arbitrary A at r0 2k while increase it for A 0:6 at r0 2k. Thus, it should be included in applications where the NSA has a role, such as inertial confinement fusion ignition target design.
分类号	一类
收录类别	SCI ; EI
原文出处	http://dx.doi.org/10.1063/1.4901088
语种	英语
WOS记录号	WOS:000345644200006
公开日期	2014-12-16
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/49383]
专题	力学研究所_高温气体动力学国家重点实验室
通讯作者	Li XL(李新亮)
推荐引用方式 GB/T 7714	Liu WH,Yu CP,Li XL,et al. Effects of initial radius of the interface and Atwood number on nonlinear saturation amplitudes in cylindrical Rayleigh-Taylor instability[J]. Physics of Plasmas,2014,21:112103.
APA	Liu WH,Yu CP,Li XL,&李新亮.(2014).Effects of initial radius of the interface and Atwood number on nonlinear saturation amplitudes in cylindrical Rayleigh-Taylor instability.Physics of Plasmas,21,112103.
MLA	Liu WH,et al."Effects of initial radius of the interface and Atwood number on nonlinear saturation amplitudes in cylindrical Rayleigh-Taylor instability".Physics of Plasmas 21(2014):112103.