Weakly nonlinear incompressible Rayleigh-Taylor instability in spherical   geometry

doi:10.1063/1.4984782

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	Weakly nonlinear incompressible Rayleigh-Taylor instability in spherical geometry
	Zhang, J. ; Wang, L. F. ; Ye, W. H. ; Wu, J. F. ; Guo, H. Y. ; Zhang, W. Y. ; He, X. T.
刊名	PHYSICS OF PLASMAS
	2017
关键词	RICHTMYER-MESHKOV INSTABILITIES INERTIAL FUSION COMPRESSION STABILITY
DOI	10.1063/1.4984782
英文摘要	In this research, a weakly nonlinear (WN) model for the incompressible Rayleigh-Taylor instability in cylindrical geometry [Wang et al., Phys. Plasmas 20, 042708 (2013)] is generalized to spherical geometry. The evolution of the interface with an initial small-amplitude single-mode perturbation in the form of Legendre mode (P-n) is analysed with the third-order WN solutions. The transition of the small-amplitude perturbed spherical interface to the bubble-and-spike structure can be observed by our model. For single-mode perturbation P-n, besides the generation of P-2n and P-3n, which are similar to the second and third harmonics in planar and cylindrical geometries, many other modes in the range of P-0-P-3n are generated by mode-coupling effects up to the third order. With the same initial amplitude, the bubbles at the pole grow faster than those at the equator in the WN regime. Furthermore, it is found that the behavior of the bubbles at the pole is similar to that of three-dimensional axisymmetric bubbles, while the behavior of the bubbles at the equator is similar to that of two-dimensional bubbles. Published by AIP Publishing.; National Natural Science Foundation of China [11275031, 11675026, 11475034, 11575033, 11274026]; Foundation of President of Chinese Academy of Engineering Physics [2014-1-040]; National Basic Research Program of China [2013CB834100]; SCI(E); ARTICLE; 6; 24
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/473012]
专题	工学院
推荐引用方式 GB/T 7714	Zhang, J.,Wang, L. F.,Ye, W. H.,et al. Weakly nonlinear incompressible Rayleigh-Taylor instability in spherical geometry[J]. PHYSICS OF PLASMAS,2017.
APA	Zhang, J..,Wang, L. F..,Ye, W. H..,Wu, J. F..,Guo, H. Y..,...&He, X. T..(2017).Weakly nonlinear incompressible Rayleigh-Taylor instability in spherical geometry.PHYSICS OF PLASMAS.
MLA	Zhang, J.,et al."Weakly nonlinear incompressible Rayleigh-Taylor instability in spherical geometry".PHYSICS OF PLASMAS (2017).