| Effects of initial radius of the interface and Atwood number on nonlinear saturation amplitudes in cylindrical Rayleigh-Taylor instability | |
Liu WH; Yu CP(于长平); Li XL(李新亮) ; Li XL(李新亮)
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| Source Publication | Physics of Plasmas
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| 2014 | |
| Volume | 21Pages:112103 |
| ISSN | 1070-664X |
| Abstract | Nonlinear saturation amplitudes (NSAs) of the first two harmonics in classical Rayleigh-Taylor instability (RTI) in cylindrical geometry for arbitrary Atwood numbers have been analytically investigated considering nonlinear corrections up to the fourth-order. The NSA of the fundamental mode is defined as the linear (purely exponential) growth amplitude of the fundamental mode at the saturation time when the growth of the fundamental mode (first harmonic) is reduced by 10% in comparison to its corresponding linear growth, and the NSA of the second harmonic can be obtained in the same way. The analytic results indicate that the effects of the initial radius of the interface (r0) and the Atwood number (A) play an important role in the NSAs of the first two harmonics in cylindrical RTI. On the one hand, the NSA of the fundamental mode first increases slightly and then decreases quickly with increasing A. For given A, the smaller the r0=k (with k perturbation wavelength) is, the larger the NSA of the fundamental mode is. When r0=k is large enough (r0 k), the NSA of the fundamental mode is reduced to the prediction of previous literatures within the framework of third-order perturbation theory [J. W. Jacobs and I. Catton, J. Fluid Mech. 187, 329 (1988); S. W. Haan, Phys. Fluids B 3, 2349 (1991)]. On the other hand, the NSA of the second harmonic first decreases quickly with increasing A, reaching a minimum, and then increases slowly. Furthermore, the r0 can reduce the NSA of the second harmonic for arbitrary A at r0 2k while increase it for A0:6 at r0 2k. Thus, it should be included in applications where the NSA has a role, such as inertial confinement fusion ignition target design. |
| URL | 查看原文 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:000345644200006 |
| Department | LHD可压缩湍流 |
| Classification | 一类 |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/49383 |
| Collection | 高温气体动力学国家重点实验室 |
| Corresponding Author | Li XL(李新亮) |
| Recommended Citation GB/T 7714 | Liu WH,Yu CP,Li XL,et al. Effects of initial radius of the interface and Atwood number on nonlinear saturation amplitudes in cylindrical Rayleigh-Taylor instability[J]. Physics of Plasmas,2014,21:112103. |
| APA | Liu WH,Yu CP,Li XL,&李新亮.(2014).Effects of initial radius of the interface and Atwood number on nonlinear saturation amplitudes in cylindrical Rayleigh-Taylor instability.Physics of Plasmas,21,112103. |
| MLA | Liu WH,et al."Effects of initial radius of the interface and Atwood number on nonlinear saturation amplitudes in cylindrical Rayleigh-Taylor instability".Physics of Plasmas 21(2014):112103. |
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