Simulations of nonlinear pore-water convection in spherical shells
文献类型：期刊论文
| 作者 | Dai, Zifeng1,2; Zhang, Keke1,2; Schubert, Gerald3,4; Lia, Xinhao5 |
| 刊名 | PHYSICS OF FLUIDS
 |
| 出版日期 | 2008-02-01 |
| 卷号 | 20期号:2页码:1 |
| 英文摘要 | Hydrothermal convection of pore water of uniform viscosity within a permeable, internally heated spherical shell bounded by two concentric spherical surfaces of inner radius ri and outer radius r(o) is investigated by fully three-dimensional numerical simulations based on a domain decomposition method. We first determine the critical Rayleigh number for the onset of hydrothermal convection by expressing linear solutions in terms of spherical Bessel functions. It is found that the basic motionless state becomes unstable with respect to an infinitesimal disturbance characterized by a spherical harmonic of degree l, the size of which is strongly dependent upon the aspect ratio r(i) / r(o) However, the three-dimensional structure of convection cannot be determined by the stability analysis because of the mathematical degeneracy of the linear solution. A new numerical scheme using a finite difference method is then employed to simulate three-dimensional nonlinear convection near the onset of convection. When the aspect ratio (r(o) - r(i)) / r(o) is moderately small, a large number of different stable stationary patterns with exactly the same Rayleigh number are found by using different initial conditions. The solutions are relevant to the convectively forced circulation of water in the interiors of early solar system bodies and outer planet icy satellites. (c) 2008 American Institute of Physics. |
| WOS标题词 | Science & Technology ; Technology ; Physical Sciences |
| 类目[WOS] | Mechanics ; Physics, Fluids & Plasmas |
| 研究领域[WOS] | Mechanics ; Physics |
| 关键词[WOS] | MANTLE CONVECTION ; FLUID ; MODEL |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000254141600032 |
| 源URL | [http://119.78.226.72/handle/331011/19340]  |
| 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, Ctr Geophys & Astrophys Fluid Dynam, Exeter EX4 4QE, Devon, England 2.Univ Exeter, Dept Math Sci, Exeter EX4 4QE, Devon, England 3.Univ Calif Los Angeles, Dept Earth & Space Sci, Los Angeles, CA 90095 USA 4.Univ Calif Los Angeles, Inst Geophys & Planetary Phys, Los Angeles, CA 90095 USA 5.Chinese Acad Sci, Shanghai Astronom Observ, Shanghai 200030, Peoples R China |
| 推荐引用方式 GB/T 7714 | Dai, Zifeng,Zhang, Keke,Schubert, Gerald,et al. Simulations of nonlinear pore-water convection in spherical shells[J]. PHYSICS OF FLUIDS,2008,20(2):1. |
| APA | Dai, Zifeng,Zhang, Keke,Schubert, Gerald,&Lia, Xinhao.(2008).Simulations of nonlinear pore-water convection in spherical shells.PHYSICS OF FLUIDS,20(2),1. |
| MLA | Dai, Zifeng,et al."Simulations of nonlinear pore-water convection in spherical shells".PHYSICS OF FLUIDS 20.2(2008):1. |
入库方式： OAI收割
来源：上海天文台
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