Secondary instability of the spike-bubble structures induced by nonlinear Rayleigh-Taylor instability with a diffuse interface
文献类型：期刊论文
| 作者 | Han, Lin4 ; Yuan, Jianjie4; Dong M(董明)3; Fan, Zhengfeng1,2
|
| 刊名 | PHYSICAL REVIEW E
 |
| 出版日期 | 2021-09-22 |
| 卷号 | 104期号:3页码:12 |
| ISSN号 | 2470-0045 |
| DOI | 10.1103/PhysRevE.104.035108 |
| 通讯作者 | Dong, Ming(dongming@imech.ac.cn) |
| 英文摘要 | 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. |
| 分类号 | 一类 |
| 资助项目 | NSFC[11772224] ; NSFC[11871114] ; NSFC[11775030] |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000702774200007 |
| 资助机构 | NSFC |
| 其他责任者 | Dong, Ming |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/87477]  |
| 专题 | 力学研究所_非线性力学国家重点实验室 |
| 作者单位 | 1.Peking Univ, Ctr Appl Phys & Technol, Beijing 100871, Peoples R China 2.Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China; 3.Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China; 4.Tianjin Univ, Dept Mech, Tianjin 300072, 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. |
入库方式： OAI收割
来源：力学研究所
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