| PHYSICS OF GASES, PLASMAS, AND ELECTRIC DISCHARGES |
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Interface Width Effect on the Weakly Nonlinear Rayleigh–Taylor Instability in Spherical Geometry |
| Yun-Peng Yang1,2, Jing Zhang3, Zhi-Yuan Li3, Li-Feng Wang2,3, Jun-Feng Wu3, Wun-Hua Ye2,3*, and Xian-Tu He2,3 |
1School of Physics, Peking University, Beijing 100871, China
2Center for Applied Physics and Technology, HEDPS, and College of Engineering, Peking University, Beijing 100871, China
3Institute of Applied Physics and Computational Mathematics, Beijing 100094, China
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| Cite this article: |
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Yun-Peng Yang, Jing Zhang, Zhi-Yuan Li et al 2020 Chin. Phys. Lett. 37 075201 |
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Abstract Interface width effect on the spherical Rayleigh–Taylor instability in the weakly nonlinear regime is studied by numerical simulations. For Legendre perturbation mode $P_n$ with wave number $k_n$ and interface half-width $L$, the commonly adopted empirical linear growth rate formula $\gamma_n^{\rm em}(L)=\gamma_n/\sqrt{1+k_nL}$ is found to be sufficient in spherical geometry. At the weakly nonlinear stage, the interface width affects the mode coupling processes. The development of the mode $P_{2n}$ is substantially influenced by the interface width. Moreover, the nonlinear saturation amplitude increases with the interface width.
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Received: 17 February 2020
Published: 21 June 2020
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| PACS: |
52.57.Fg
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(Implosion symmetry and hydrodynamic instability (Rayleigh-Taylor, Richtmyer-Meshkov, imprint, etc.))
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47.20.Ma
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(Interfacial instabilities (e.g., Rayleigh-Taylor))
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52.35.Py
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(Macroinstabilities (hydromagnetic, e.g., kink, fire-hose, mirror, ballooning, tearing, trapped-particle, flute, Rayleigh-Taylor, etc.))
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| Fund: Supported by the National Natural Science Foundation of China (Grant Nos. 11575033, 11675026, and 11975053). |
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