Cylindrical effects on Richtmyer-Meshkov instability for arbitrary   Atwood numbers in weakly nonlinear regime

doi:10.1063/1.4736933

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	Cylindrical effects on Richtmyer-Meshkov instability for arbitrary Atwood numbers in weakly nonlinear regime
	Liu, W. H. ; He, X. T. ; Yu, C. P.
刊名	等离子体物理学
	2012
关键词	RAYLEIGH-TAYLOR SHOCK-WAVE NUMERICAL-SIMULATION SCALING LAWS GROWTH-RATE INTERFACES FLUIDS STABILITY IGNITION TARGETS
DOI	10.1063/1.4736933
英文摘要	When an incident shock collides with a corrugated interface separating two fluids of different densities, the interface is prone to Richtmyer-Meshkov instability (RMI). Based on the formal perturbation expansion method as well as the potential flow theory, we present a simple method to investigate the cylindrical effects in weakly nonlinear RMI with the transmitted and reflected cylindrical shocks by considering the nonlinear corrections up to fourth order. The cylindrical results associated with the material interface show that the interface expression consists of two parts: the result in the planar system and that from the cylindrical effects. In the limit of the cylindrical radius tending to infinity, the cylindrical results can be reduced to those in the planar system. Our explicit results show that the cylindrical effects exert an inward velocity on the whole perturbed interface, regardless of bubbles or spikes of the interface. On the one hand, outgoing bubbles are constrained and ingoing spikes are accelerated for different Atwood numbers (A) and mode numbers k'. On the other hand, for ingoing bubbles, when vertical bar A vertical bar k'(3/2) less than or similar to 1, bubbles are considerably accelerated especially at the small vertical bar A vertical bar and k'; otherwise, bubbles are decelerated. For outgoing spikes, when vertical bar A vertical bar k' greater than or similar to 1, spikes are dramatically accelerated especially at large vertical bar A vertical bar and k'; otherwise, spikes are decelerated. Furthermore, the cylindrical effects have a significant influence on the amplitudes of the ingoing spike and bubble for large k'. Thus, it should be included in applications where the cylindrical effects play a role, such as inertial confinement fusion ignition target design. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4736933]; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000307422800011&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Physics, Fluids & Plasmas; SCI(E); EI; 2; ARTICLE; 7; 19
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/154603]
专题	工学院
推荐引用方式 GB/T 7714	Liu, W. H.,He, X. T.,Yu, C. P.. Cylindrical effects on Richtmyer-Meshkov instability for arbitrary Atwood numbers in weakly nonlinear regime[J]. 等离子体物理学,2012.
APA	Liu, W. H.,He, X. T.,&Yu, C. P..(2012).Cylindrical effects on Richtmyer-Meshkov instability for arbitrary Atwood numbers in weakly nonlinear regime.等离子体物理学.
MLA	Liu, W. H.,et al."Cylindrical effects on Richtmyer-Meshkov instability for arbitrary Atwood numbers in weakly nonlinear regime".等离子体物理学 (2012).