| PHYSICS OF GASES, PLASMAS, AND ELECTRIC DISCHARGES |
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Simulation of 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, Wen-Hua Ye2,3**, Xian-Tu He2,3 |
1School of Physics, Peking University, Beijing 100871
2Center for Applied Physics and Technology, HEDPS, Peking University, Beijing 100871
3Institute of Applied Physics and Computational Mathematics, Beijing 100094
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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 055201 |
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Abstract The Rayleigh–Taylor instability at the weakly nonlinear (WN) stage in spherical geometry is studied by numerical simulation. The mode coupling processes are revealed. The results are consistent with the WN model based on parameter expansion, while higher order effects are found to be non-negligible. For Legendre mode perturbation $P_n(\cos\theta)$, the nonlinear saturation amplitude (NSA) of the fundamental mode decreases with the mode number $n$. When $n$ is large, the spherical NSA is lower than the corresponding planar one. However, for large $n$, the planar NSA can be recovered by applying Fourier transformation to the bubble/spike near the equator and calculating the NSA of the converted trigonometric harmonic.
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Received: 30 December 2019
Published: 25 April 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 under Grant Nos. 11575033, 11675026, and 11975053. |
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