Nonlinear saturation amplitudes in classical Rayleigh-Taylor instability   at arbitrary Atwood numbers

doi:10.1063/1.3702063

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	Nonlinear saturation amplitudes in classical Rayleigh-Taylor instability at arbitrary Atwood numbers
	Liu, W. H. ; Wang, L. F. ; Ye, W. H. ; He, X. T.
刊名	等离子体物理学
	2012
关键词	ABLATION FRONTS INERTIAL FUSION PLANAR TARGETS LARGE GROWTH STABILITY MODE NOVA
DOI	10.1063/1.3702063
英文摘要	In this research, nonlinear saturation amplitudes (NSAs) of the first two harmonics in Rayleigh-Taylor instability (RTI) for irrotational, incompressible, and inviscid fluids, with a discontinuous profile at arbitrary Atwood numbers, are investigated analytically, by considering nonlinear corrections up to the tenth-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. The NSA of the second harmonic can be obtained in the same way. The analytic results indicate that the effects of the higher-order correction (HOC) and the Atwood number (A) play an important role in the NSA of the RTI. It is found that the NSA of the fundamental mode decreases with increasing A. And when the HOC effects are considered, the NSA of the fundamental mode is significantly larger than 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)]. We find that the NSA of the second harmonic first decreases quickly with increasing A, reaching a minimum, and then increases slowly. Furthermore, the NSAs of the first two harmonics demonstrate the trend of convergence as the order of corrections increases. Thus, it should be included in applications where the NSAs play a role, such as inertial confinement fusion ignition target design. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.3702063]; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000309592100030&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Physics, Fluids & Plasmas; SCI(E); EI; 12; ARTICLE; 4; 19
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/235840]
专题	工学院
推荐引用方式 GB/T 7714	Liu, W. H.,Wang, L. F.,Ye, W. H.,et al. Nonlinear saturation amplitudes in classical Rayleigh-Taylor instability at arbitrary Atwood numbers[J]. 等离子体物理学,2012.
APA	Liu, W. H.,Wang, L. F.,Ye, W. H.,&He, X. T..(2012).Nonlinear saturation amplitudes in classical Rayleigh-Taylor instability at arbitrary Atwood numbers.等离子体物理学.
MLA	Liu, W. H.,et al."Nonlinear saturation amplitudes in classical Rayleigh-Taylor instability at arbitrary Atwood numbers".等离子体物理学 (2012).