Secondary instability of the spike-bubble structures induced by nonlinear Rayleigh-Taylor instability with a diffuse interface

doi:10.1103/PhysRevE.104.035108

IMECH-IR > 非线性力学国家重点实验室

	Secondary instability of the spike-bubble structures induced by nonlinear Rayleigh-Taylor instability with a diffuse interface
	Han, Lin1 ; Yuan, Jianjie 1; Dong M(董明)2; Fan, Zhengfeng 3,4
通讯作者	Dong, Ming(dongming@imech.ac.cn)
发表期刊	PHYSICAL REVIEW E
	2021-09-22
卷号	104 期号:3 页码:12
ISSN	2470-0045
摘要	Laminar-turbulent transition in Rayleigh-Taylor (RT) flows usually starts with infinitesimal perturbations, which evolve into the spike-bubble structures in the nonlinear saturation phase. It is well accepted that the emergence and rapid amplification of the small-scale perturbations are attributed to the Kelvin-Helmholtz-type secondary instability due to the high velocity shears induced by the stretch of the spike-bubble structures, however, there has been no quantitative description on such a secondary instability in literature. Moreover, the instability mechanism may not be that simple, because the acceleration or the "rising bubble" effect could also play a role. Therefore, based on the two-dimensional diffuse-interface RT nonlinear flows, the present paper employs the Arnoldi iteration and generalized Rayleigh quotient iteration methods to provide a quantitative study on the secondary instability. Both sinuous and varicose instability modes with high growth rates are observed, all of which are confirmed to be attributed to both the Rayleigh-Taylor and Kelvin-Helmholtz regimes. The former regime dominates the early-time instability due to the "rising bubble" effect, whereas the latter regime becomes more significant as time advances. Being similar to the primary RT instability [Yu et al., Phys. Rev. E 97, 013102 (2018), Dong et al., Phys. Rev. E 99, 013109 (2019), Fan and Dong, Phys. Rev. E 101, 063103 (2020)], the diffuse interface also leads to a multiplicity of the secondary instability modes and higher-order modes are found to exhibit more local extremes than the lower-order ones. Direct numerical simulations are carried out, which confirm the linear growth of the secondary instability modes with infinitesimal amplitudes and show their evolution to the turbulent-mixing state.
DOI	10.1103/PhysRevE.104.035108
收录类别	SCI ; EI
语种	英语
WOS记录号	WOS:000702774200007
WOS研究方向	Physics
WOS类目	Physics, Fluids & Plasmas ; Physics, Mathematical
资助项目	NSFC[11772224] ; NSFC[11871114] ; NSFC[11775030]
项目资助者	NSFC
论文分区	一类
力学所作者排名	1
RpAuthor	Dong, Ming
引用统计	被引频次：1[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://dspace.imech.ac.cn/handle/311007/87478
专题	非线性力学国家重点实验室
作者单位	1.Tianjin Univ, Dept Mech, Tianjin 300072, Peoples R China; 2.Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China; 3.Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China; 4.Peking Univ, Ctr Appl Phys & Technol, Beijing 100871, Peoples R China
推荐引用方式 GB/T 7714	Han, Lin,Yuan, Jianjie,Dong M,et al. Secondary instability of the spike-bubble structures induced by nonlinear Rayleigh-Taylor instability with a diffuse interface[J]. PHYSICAL REVIEW E,2021,104,3,:12.
APA	Han, Lin,Yuan, Jianjie,董明,&Fan, Zhengfeng.(2021).Secondary instability of the spike-bubble structures induced by nonlinear Rayleigh-Taylor instability with a diffuse interface.PHYSICAL REVIEW E,104(3),12.
MLA	Han, Lin,et al."Secondary instability of the spike-bubble structures induced by nonlinear Rayleigh-Taylor instability with a diffuse interface".PHYSICAL REVIEW E 104.3(2021):12.

条目包含的文件		下载所有文件
文件名称/大小	文献类型	版本类型	开放类型	使用许可
Jp2021F391.pdf（3170KB）	期刊论文	出版稿	开放获取	CC BY-NC-SA	浏览下载