Dependence of Rayleigh-Taylor instability of finite-thickness shell on initial perturbed wavelengths

doi:10.1088/1674-1056/ade06b

中国物理B ›› 2025, Vol. 34 ›› Issue (11): 115202-115202.doi: 10.1088/1674-1056/ade06b

Dependence of Rayleigh-Taylor instability of finite-thickness shell on initial perturbed wavelengths

Hong-Yu Guo(郭宏宇)^1,†, Ben-Jin Guan(关本金)^1,2,†,‡, Li-Feng Wang(王立锋)^2,3, Zhi-Yuan Li(李志远)², and Ying-Jun Li(李英骏)^1,§

1 State Key Laboratory for Tunnel Engineering, China University of Mining and Technology, Beijing 100083, China;
2 Institute of Applied Physics and Computational Mathematics, Beijing 100094, China;
3 Center for Applied Physics and Technology, HEDPS, and College of Engineering, Peking University, Beijing 100871, China

收稿日期:2025-03-30 修回日期:2025-05-26 接受日期:2025-06-04 发布日期:2025-11-24
通讯作者: Ben-Jin Guan, Ying-Jun Li E-mail:bjguanshandong@163.com;lyj@aphy.iphy.ac.cn
基金资助:
Project supported by the Fundamental Research Funds for the Central Universities (Grant No. 2022YQLX01), the Fund from the State Key Laboratory of Computational Physics (Grant No. 6142A05QN23009), and the Strategic Priority Research Program of the Chinese Academy of Sciences (Grant No. XDA 25051000).

Dependence of Rayleigh-Taylor instability of finite-thickness shell on initial perturbed wavelengths

Hong-Yu Guo(郭宏宇)^1,†, Ben-Jin Guan(关本金)^1,2,†,‡, Li-Feng Wang(王立锋)^2,3, Zhi-Yuan Li(李志远)², and Ying-Jun Li(李英骏)^1,§

1 State Key Laboratory for Tunnel Engineering, China University of Mining and Technology, Beijing 100083, China;
2 Institute of Applied Physics and Computational Mathematics, Beijing 100094, China;
3 Center for Applied Physics and Technology, HEDPS, and College of Engineering, Peking University, Beijing 100871, China

Received:2025-03-30 Revised:2025-05-26 Accepted:2025-06-04 Published:2025-11-24
Contact: Ben-Jin Guan, Ying-Jun Li E-mail:bjguanshandong@163.com;lyj@aphy.iphy.ac.cn
Supported by:
Project supported by the Fundamental Research Funds for the Central Universities (Grant No. 2022YQLX01), the Fund from the State Key Laboratory of Computational Physics (Grant No. 6142A05QN23009), and the Strategic Priority Research Program of the Chinese Academy of Sciences (Grant No. XDA 25051000).

摘要/Abstract

摘要： Rayleigh–Taylor instability (RTI) of finite-thickness shell significantly impacts shell deformation and material mixing processes, with crucial implications for inertial confinement fusion (ICF). This study focuses on the RTI growth at the dual interfaces of a thin shell. A second-order weakly nonlinear (WN) analytical theory is developed to investigate the nonlinear deformation of the shell induced by different perturbation wavelengths initially imposed at the upper and lower interfaces. The validity of the theoretical results within the WN regime has been confirmed via two-dimensional Eulerian numerical simulations. Due to the interface coupling effect, the initially imposed single-mode perturbations at the upper and lower interfaces progressively evolve, exhibiting characteristics typical of multi-mode perturbations. When the initial perturbation wavelengths differ significantly, the primary structure of RTI retains its integrity, a behavior attributed to the dominance of long-wavelength perturbations. For comparable initial wavelengths, mode-coupling significantly distorts the bubble-spike structure in RTI, with the thin shell becoming prone to rupture due to enhanced nonlinear interactions.

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

Abstract: Rayleigh–Taylor instability (RTI) of finite-thickness shell significantly impacts shell deformation and material mixing processes, with crucial implications for inertial confinement fusion (ICF). This study focuses on the RTI growth at the dual interfaces of a thin shell. A second-order weakly nonlinear (WN) analytical theory is developed to investigate the nonlinear deformation of the shell induced by different perturbation wavelengths initially imposed at the upper and lower interfaces. The validity of the theoretical results within the WN regime has been confirmed via two-dimensional Eulerian numerical simulations. Due to the interface coupling effect, the initially imposed single-mode perturbations at the upper and lower interfaces progressively evolve, exhibiting characteristics typical of multi-mode perturbations. When the initial perturbation wavelengths differ significantly, the primary structure of RTI retains its integrity, a behavior attributed to the dominance of long-wavelength perturbations. For comparable initial wavelengths, mode-coupling significantly distorts the bubble-spike structure in RTI, with the thin shell becoming prone to rupture due to enhanced nonlinear interactions.

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

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.))

Hong-Yu Guo(郭宏宇), Ben-Jin Guan(关本金), Li-Feng Wang(王立锋), Zhi-Yuan Li(李志远), and Ying-Jun Li(李英骏). Dependence of Rayleigh-Taylor instability of finite-thickness shell on initial perturbed wavelengths[J]. 中国物理B, 2025, 34(11): 115202-115202.

参考文献

[1] Rayleigh L 1882 Proc. London Math. Soc. s1-14 170
[2] Taylor G 1950 Proc. R. Soc. Lond. A 201 192
[3] Gamezo V N, Khokhlov A M, Oran E S, Chtchelkanova A Y and Rosenberg R O 2003 Science 299 77
[4] Lindl J D, Amendt P, Berger R L, Glendinning S G, Glenzer S H, Haan S W, Kauffman R L, Landen O L and Suter L J 2004 Phys. Plasmas 11 339
[5] Wang L F, Ye W H, He X T, Wu J F, Fan Z F, Xue C, Guo H Y, Miao W Y, Yuan Y T, Dong J Q, Jia G, Zhang J, Li Y J, Liu J, Wang M, Ding Y K and Zhang W Y 2017 Sci. China-Phys. Mech. Astron. 60 055201
[6] Zylstra A B, Hurricane O A, Callahan D A, et al. 2022 Nature 601 542
[7] Guo Y, Wu D and Zhang J 2024 Phys. Plasmas 31 112106
[8] Li J, Yan R, Zhao B, Wu J F, Wang L F and Zou S Y 2024 Phys. Plasmas 31 012703
[9] Jacobs J W and Catton I 1988 J. Fluid Mech. 187 329
[10] Liu W H, Wang L F, Ye W H and He X T 2012 Phys. Plasmas 19 042705
[11] Wang L F, Wu J F, Fan Z F, Ye W H, He X T, Zhang W Y, Dai Z S, Gu J F and Xue C 2012 Phys. Plasmas 19 112706
[12] Wang L F, Wu J F, Ye W H, Zhang W Y and He X T 2013 Phys. Plasmas 20 042708
[13] Zhang J, Wang L F, Ye W H, Wu J F, Guo H Y, Zhang W Y and He X T 2017 Phys. Plasmas 24 062703
[14] Lai H L, Xu A G, Zhang G C, Gan Y B, Ying Y J and Sauro Succi 2016 Phys. Rev. E 94 023106
[15] Xin J, Yan R, Wan Z H, Sun J, Zheng J, Zhang H, Aluie H and Betti R 2019 Phys. Plasmas 26 032703
[16] Mikaelian K O 1982 Phys. Rev. A 26 2140
[17] Mikaelian K O 1983 Phys. Rev. A 28 1637
[18] Mikaelian K O 2025 Phys. Fluids 37 032114
[19] Guo H Y, Wang L F, Ye W H, Wu J F and Zhang W Y 2017 Chin. Phys. Lett. 34 075201
[20] Guo H Y, Wang L F, Ye W H, Wu J F and Zhang W Y 2017 Chin. Phys. B 26 125202
[21] Guo H Y, Wang L F, Ye W H, Wu J F, Li Y J and Zhang W Y 2018 Chin. Phys. B 27 025206
[22] Weis M R, Zhang P, Lau Y Y, Rittersdorf I M, Zier J C, Gilgenbach R M and Peterson K J 2014 Phys. Plasmas 21 122708
[23] Velikovich A L and Schmit P F 2015 Phys. Plasmas 22 122711
[24] Wilkinson J P and Jacobs J W 2007 Phys. Fluids 19 124102
[25] Ding J C, Si T, Yang J M, Lu X Y, Zhai Z G and Luo X S 2017 Phys. Rev. Lett. 119 014501
[26] Wang L F, Guo H Y, Wu J F, Ye W H, Liu J, Zhang W Y and He X T 2014 Phys. Plasmas 21 122710
[27] Guo H Y, Wang L F, Ye W H, Wu J F, Zhang J, Ding Y K, Zhang W Y and He X T 2017 Phys. Plasmas 24 112708
[28] Guo H Y, Cheng T, Li J and Li Y J 2022 Chin. Phys. B 31 035203
[29] Li Z Y, Wang L F, Wu J F and Ye W H 2020 Acta Mech. Sin. 36 789
[30] Einfeldt B 1988 SIAM Journal on Numerical Analysis 25 294
[31] Roe P L 1986 Ann. Rev. Fluid Mech. 18 337

Dependence of Rayleigh-Taylor instability of finite-thickness shell on initial perturbed wavelengths

Dependence of Rayleigh-Taylor instability of finite-thickness shell on initial perturbed wavelengths

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