中国物理B ›› 2026, Vol. 35 ›› Issue (6): 65202-065202.doi: 10.1088/1674-1056/ae1de9

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Weakly nonlinear Rayleigh-Taylor instability of finite-thickness fluid supported by a semi-infinite fluid

Hong-Yu Guo(郭宏宇)1,2,3,†, Dong-Yu Guo(郭懂宇)1,2,†,‡, Ben-Jin Guan(关本金)4, Ying-Jun Li(李英骏)4, and Shi-Qi Liu(刘世奇)1,2,§   

  1. 1 School of Energy and Mining Engineering, China University of Mining and Technology-Beijing, Beijing 100083, China;
    2 Mining Water Control and Utilization Engineering Center, Beijing 100083, China;
    3 School of Physics, Beijing Institute of Technology, Beijing 100081, China;
    4 State Key Laboratory for Tunnel Engineering, China University of Mining and Technology, Beijing 100083, China
  • 收稿日期:2025-08-05 修回日期:2025-10-26 接受日期:2025-11-11 发布日期:2026-06-15
  • 通讯作者: Dong-Yu Guo, Shi-Qi Liu E-mail:pzg8559@163.com;201845@cumtb.edu.cn
  • 基金资助:
    Project supported by the Fundamental Research Funds for the Central Universities (Grant No. 2025ZKPYNY05), the National Science and Technology Major Project of China (Grant No. 2024ZD1700201), and the Strategic Priority Research Program of Chinese Academy of Sciences (Grant Nos. XDA 25051000 and XDA 25010100).

Weakly nonlinear Rayleigh-Taylor instability of finite-thickness fluid supported by a semi-infinite fluid

Hong-Yu Guo(郭宏宇)1,2,3,†, Dong-Yu Guo(郭懂宇)1,2,†,‡, Ben-Jin Guan(关本金)4, Ying-Jun Li(李英骏)4, and Shi-Qi Liu(刘世奇)1,2,§   

  1. 1 School of Energy and Mining Engineering, China University of Mining and Technology-Beijing, Beijing 100083, China;
    2 Mining Water Control and Utilization Engineering Center, Beijing 100083, China;
    3 School of Physics, Beijing Institute of Technology, Beijing 100081, China;
    4 State Key Laboratory for Tunnel Engineering, China University of Mining and Technology, Beijing 100083, China
  • Received:2025-08-05 Revised:2025-10-26 Accepted:2025-11-11 Published:2026-06-15
  • Contact: Dong-Yu Guo, Shi-Qi Liu E-mail:pzg8559@163.com;201845@cumtb.edu.cn
  • Supported by:
    Project supported by the Fundamental Research Funds for the Central Universities (Grant No. 2025ZKPYNY05), the National Science and Technology Major Project of China (Grant No. 2024ZD1700201), and the Strategic Priority Research Program of Chinese Academy of Sciences (Grant Nos. XDA 25051000 and XDA 25010100).

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摘要： Rayleigh-Taylor instability (RTI) in multi-interface shells significantly influences shell deformation and material mixing, thereby affecting inertial confinement fusion (ICF) implosion performance. This study investigates the weakly nonlinear (WN) RTI in a finite-thickness fluid shell supported by a semi-infinite fluid. We derive the governing equations and third-order WN solutions for RTI growth at both interfaces of the shell. Numerical simulations based on the two-dimensional Eulerian framework confirm the validity of the theoretical results in the WN regime. The perturbation growth rate at the lower interface and the interfacial coupling coefficients both exhibit explicit dependence on the Atwood number $A$ and the normalized shell thickness $\xi$. The WN growth and the deformation of the shell are investigated through the third-order solutions. Comparisons are made with the classical RTI in the WN regime under different initial conditions. Additionally, we analyze the saturation amplitude of the perturbation fundamental mode. It is found that the Atwood number and finite-thickness effects play a pivotal role in the WN evolution of the fluid layer.

关键词: Rayleigh-Taylor instability, inertial confinement fusion, mode-coupling

Abstract: Rayleigh-Taylor instability (RTI) in multi-interface shells significantly influences shell deformation and material mixing, thereby affecting inertial confinement fusion (ICF) implosion performance. This study investigates the weakly nonlinear (WN) RTI in a finite-thickness fluid shell supported by a semi-infinite fluid. We derive the governing equations and third-order WN solutions for RTI growth at both interfaces of the shell. Numerical simulations based on the two-dimensional Eulerian framework confirm the validity of the theoretical results in the WN regime. The perturbation growth rate at the lower interface and the interfacial coupling coefficients both exhibit explicit dependence on the Atwood number $A$ and the normalized shell thickness $\xi$. The WN growth and the deformation of the shell are investigated through the third-order solutions. Comparisons are made with the classical RTI in the WN regime under different initial conditions. Additionally, we analyze the saturation amplitude of the perturbation fundamental mode. It is found that the Atwood number and finite-thickness effects play a pivotal role in the WN evolution of the fluid layer.

Key words: Rayleigh-Taylor instability, inertial confinement fusion, mode-coupling

中图分类号:  (Implosion symmetry and hydrodynamic instability (Rayleigh-Taylor, Richtmyer-Meshkov, imprint, etc.))

  • 52.57.Fg
47.20.Ma (Interfacial instabilities (e.g., Rayleigh-Taylor)) 52.35.Py (Macroinstabilities (hydromagnetic, e.g., kink, fire-hose, mirror, ballooning, tearing, trapped-particle, flute, Rayleigh-Taylor, etc.))