Multiplicity of nonlinear thermal convection in a spherical shell
文献类型：期刊论文
| 作者 | Li, LG; Zhang, P ; Liao, XH; Zhang, KK
|
| 刊名 | PHYSICAL REVIEW E
 |
| 出版日期 | 2005 |
| 卷号 | 71期号:1页码:1 |
| 英文摘要 | Linear and weakly nonlinear thermal convection in a moderately thin spherical shell in the presence of a spherically symmetric gravity subject to a spherically symmetric boundary condition is systematically investigated through fully three-dimensional numerical simulations. The convection problem is self-adjoint and the linear convective stability is characterized by l, the degree of a spherical harmonics Y-l(m)(theta, phi). While the radial structure of the linear convection is determined by the stability analysis, there exists a (2l+1)-fold degeneracy in the horizonal structure of the spherical convection. When l=O(10), i.e., in a moderately thin spherical shell, the removal or partial removal of the degeneracy represents a mathematically difficult, physically not well-understood problem. By starting with carefully chosen initial conditions, we are able to obtain a variety of nonlinear convective flows at exactly the same parameters near the onset of convection, including steady axisymmetric convection, steady azimuthally periodic convection, steady azimuthally nonperiodic convection, equatorially asymmetric convection, and steady convection in the form of a. single giant spiral roll covering the whole spherical shell which is stable and robust for a wide range of the Prandtl number. |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 类目[WOS] | Physics, Fluids & Plasmas ; Physics, Mathematical |
| 研究领域[WOS] | Physics |
| 关键词[WOS] | INFINITE PRANDTL NUMBER ; FLUID SHELLS ; PATTERNS |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000227459400078 |
| 公开日期 | 2010-07-30 |
| 源URL | [http://119.78.226.72//handle/331011/10520]  |
| 专题 | 上海天文台_天文地球动力学研究中心 |
| 作者单位 | 1.Univ Exeter, Dept Math Sci, Exeter EX4 4QE, Devon, England 2.Shanghai Astron Observ, Shanghai 200030, Peoples R China |
| 推荐引用方式 GB/T 7714 | Li, LG,Zhang, P,Liao, XH,et al. Multiplicity of nonlinear thermal convection in a spherical shell[J]. PHYSICAL REVIEW E,2005,71(1):1. |
| APA | Li, LG,Zhang, P,Liao, XH,&Zhang, KK.(2005).Multiplicity of nonlinear thermal convection in a spherical shell.PHYSICAL REVIEW E,71(1),1. |
| MLA | Li, LG,et al."Multiplicity of nonlinear thermal convection in a spherical shell".PHYSICAL REVIEW E 71.1(2005):1. |
入库方式： OAI收割
来源：上海天文台
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