Weakly nonlinear incompressible Rayleigh-Taylor instability growth at   cylindrically convergent interfaces

doi:10.1063/1.4803067

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	Weakly nonlinear incompressible Rayleigh-Taylor instability growth at cylindrically convergent interfaces
	Wang, L. F. ; Wu, J. F. ; Ye, W. H. ; Zhang, W. Y. ; He, X. T.
刊名	等离子体物理学
	2013
关键词	RICHTMYER-MESHKOV INSTABILITIES ABLATION FRONTS STABILITY ANALYSIS LASER FUSION NOVA STABILIZATION GEOMETRY NUMBERS TARGETS
DOI	10.1063/1.4803067
英文摘要	A weakly nonlinear (WN) model has been developed for the incompressible Rayleigh-Taylor instability (RTI) in cylindrical geometry. The transition from linear to nonlinear growth is analytically investigated via a third-order solutions for the cylindrical RTI initiated by a single-mode velocity perturbation. The third-order solutions can depict the early stage of the interface asymmetry due to the bubble-spike formation, as well as the saturation of the linear (exponential) growth of the fundamental mode. The WN results in planar RTI [Wang et al., Phys. Plasmas 19, 112706 (2012)] are recovered in the limit of high-mode number perturbations. The difference between the WN growth of the RTI in cylindrical geometry and in planar geometry is discussed. It is found that the interface of the inward (outward) development spike/bubble is extruded (stretched) by the additional inertial force in cylindrical geometry compared with that in planar geometry. For interfaces with small density ratios, the inward growth bubble can grow fast than the outward growth spike in cylindrical RTI. Moreover, a reduced formula is proposed to describe the WN growth of the RTI in cylindrical geometry with an acceptable precision, especially for small-amplitude perturbations. Using the reduced formula, the nonlinear saturation amplitude of the fundamental mode and the phases of the Fourier harmonics are studied. Thus, it should be included in applications where converging geometry effects play an important role, such as the supernova explosions and inertial confinement fusion implosions. (C) 2013 AIP Publishing LLC. [http://dx.doi.org/10.1063/1.4803067]; Physics, Fluids & Plasmas; SCI(E); EI; 1; ARTICLE; 4; 20
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/224795]
专题	工学院
推荐引用方式 GB/T 7714	Wang, L. F.,Wu, J. F.,Ye, W. H.,et al. Weakly nonlinear incompressible Rayleigh-Taylor instability growth at cylindrically convergent interfaces[J]. 等离子体物理学,2013.
APA	Wang, L. F.,Wu, J. F.,Ye, W. H.,Zhang, W. Y.,&He, X. T..(2013).Weakly nonlinear incompressible Rayleigh-Taylor instability growth at cylindrically convergent interfaces.等离子体物理学.
MLA	Wang, L. F.,et al."Weakly nonlinear incompressible Rayleigh-Taylor instability growth at cylindrically convergent interfaces".等离子体物理学 (2013).