Coupling between interface and velocity perturbations in the weakly   nonlinear Rayleigh-Taylor instability

doi:10.1063/1.4766165

CORC > 北京大学 > 工学院

	Coupling between interface and velocity perturbations in the weakly nonlinear Rayleigh-Taylor instability
	Wang, L. F. ; Wu, J. F. ; Fan, Z. F. ; Ye, W. H. ; He, X. T. ; Zhang, W. Y. ; Dai, Z. S. ; Gu, J. F. ; Xue, C.
刊名	等离子体物理学
	2012
关键词	NATIONAL IGNITION FACILITY STABILITY ANALYSIS INERTIAL FUSION ABLATION FRONTS PLANAR TARGETS GROWTH-RATES SINGLE-MODE DRIVEN SN-1987A PLASMA
DOI	10.1063/1.4766165
英文摘要	Weakly nonlinear (WN) Rayleigh-Taylor instability (RTI) initiated by single-mode cosinusoidal interface and velocity perturbations is investigated analytically up to the third order. Expressions of the temporal evolutions of the amplitudes of the first three harmonics are derived. It is shown that there are coupling between interface and velocity perturbations, which plays a prominent role in the WN growth. When the "equivalent amplitude" of the initial velocity perturbation, which is normalized by its linear growth rate, is compared to the amplitude of the initial interface perturbation, the coupling between them dominates the WN growth of the RTI. Furthermore, the RTI would be mitigated by initiating a velocity perturbation with a relative phase shift against the interface perturbation. More specifically, when the phase shift between the interface perturbation and the velocity perturbation is pi and their equivalent amplitudes are equal, the RTI could be completely quenched. If the equivalent amplitude of the initial velocity perturbation is equal to the initial interface perturbation, the difference between the WN growth of the RTI initiated by only an interface perturbation and by only a velocity perturbation is found to be asymptotically negligible. The dependence of the WN growth on the Atwood numbers and the initial perturbation amplitudes is discussed. In particular, we investigate the dependence of the saturation amplitude (time) of the fundamental mode on the Atwood numbers and the initial perturbation amplitudes. It is found that the Atwood numbers and the initial perturbation amplitudes play a crucial role in the WN growth of the RTI. Thus, it should be included in applications where the seeds of the RTI have velocity perturbations, such as inertial confinement fusion implosions and supernova explosions. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4766165]; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000312033700037&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Physics, Fluids & Plasmas; SCI(E); EI; 5; ARTICLE; 11; 19
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/230046]
专题	工学院
推荐引用方式 GB/T 7714	Wang, L. F.,Wu, J. F.,Fan, Z. F.,et al. Coupling between interface and velocity perturbations in the weakly nonlinear Rayleigh-Taylor instability[J]. 等离子体物理学,2012.
APA	Wang, L. F..,Wu, J. F..,Fan, Z. F..,Ye, W. H..,He, X. T..,...&Xue, C..(2012).Coupling between interface and velocity perturbations in the weakly nonlinear Rayleigh-Taylor instability.等离子体物理学.
MLA	Wang, L. F.,et al."Coupling between interface and velocity perturbations in the weakly nonlinear Rayleigh-Taylor instability".等离子体物理学 (2012).