中国物理B ›› 2020, Vol. 29 ›› Issue (3): 34704-034704.doi: 10.1088/1674-1056/ab6965

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇    下一篇

Interface coupling effects of weakly nonlinear Rayleigh-Taylor instability with double interfaces

Zhiyuan Li(李志远), Lifeng Wang(王立锋), Junfeng Wu(吴俊峰), Wenhua Ye(叶文华)   

  1. 1 Institute of Applied Physics and Computational Mathematics, Beijing 100094, China;
    2 Center for Applied Physics and Technology, HEDPS, and College of Engineering, Peking University, Beijing 100871, China
  • 收稿日期:2019-11-11 修回日期:2020-01-06 出版日期:2020-03-05 发布日期:2020-03-05
  • 通讯作者: Wenhua Ye E-mail:ye_wenhua@iapcm.ac.cn
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 11575033, 11675026, and 11975053) and the Science Foundation from China Academy of Engineering Physics (Grant No. CX2019033).

Interface coupling effects of weakly nonlinear Rayleigh-Taylor instability with double interfaces

Zhiyuan Li(李志远)1, Lifeng Wang(王立锋)1,2, Junfeng Wu(吴俊峰)2, Wenhua Ye(叶文华)1,2   

  1. 1 Institute of Applied Physics and Computational Mathematics, Beijing 100094, China;
    2 Center for Applied Physics and Technology, HEDPS, and College of Engineering, Peking University, Beijing 100871, China
  • Received:2019-11-11 Revised:2020-01-06 Online:2020-03-05 Published:2020-03-05
  • Contact: Wenhua Ye E-mail:ye_wenhua@iapcm.ac.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 11575033, 11675026, and 11975053) and the Science Foundation from China Academy of Engineering Physics (Grant No. CX2019033).

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摘要： Taking the Rayleigh-Taylor instability with double interfaces as the research object, the interface coupling effects in the weakly nonlinear regime are studied numerically. The variation of Atwood numbers on the two interfaces and the variation of the thickness between them are taken into consideration. It is shown that, when the Atwood number on the lower interface is small, the amplitude of perturbation growth on the lower interface is positively related with the Atwood number on the upper interface. However, it is negatively related when the Atwood number on the lower interface is large. The above phenomenon is quantitatively studied using an analytical formula and the underlying physical mechanism is presented.

关键词: Rayleigh-Taylor instability, weakly nonlinear regime, numerical simulation

Abstract: Taking the Rayleigh-Taylor instability with double interfaces as the research object, the interface coupling effects in the weakly nonlinear regime are studied numerically. The variation of Atwood numbers on the two interfaces and the variation of the thickness between them are taken into consideration. It is shown that, when the Atwood number on the lower interface is small, the amplitude of perturbation growth on the lower interface is positively related with the Atwood number on the upper interface. However, it is negatively related when the Atwood number on the lower interface is large. The above phenomenon is quantitatively studied using an analytical formula and the underlying physical mechanism is presented.

Key words: Rayleigh-Taylor instability, weakly nonlinear regime, numerical simulation

中图分类号:  (Interfacial instabilities (e.g., Rayleigh-Taylor))

  • 47.20.Ma
52.57.Fg (Implosion symmetry and hydrodynamic instability (Rayleigh-Taylor, Richtmyer-Meshkov, imprint, etc.)) 52.35.Mw (Nonlinear phenomena: waves, wave propagation, and other interactions (including parametric effects, mode coupling, ponderomotive effects, etc.))