Asymptotic and numerical solutions of the initial value problem in rotating planetary fluid cores
文献类型：期刊论文
| 作者 | Liao, X.1 ; Zhang, K.2,3
|
| 刊名 | GEOPHYSICAL JOURNAL INTERNATIONAL
 |
| 出版日期 | 2010 |
| 卷号 | 180期号:1页码:181-192 |
| 关键词 | Earth rotation variations Dynamo: theories and simulations Core outer core and inner core |
| 英文摘要 | P>An initial state of fluid motion in planetary cores or atmospheres, excited, for example, by the giant impact of an asteroid or an earthquake and then damped by viscous dissipation, decays towards the state of rigid-body rotation. The process of how the initial state approaches the final state, the initial value problem, is investigated both analytically and numerically for rotating fluid spheres. We derive an explicit asymptotic expression for the time-dependent solution of the initial value problem valid for an asymptotically small Ekman number E. We also perform a fully numerical analysis to simulate time-dependent solutions of the initial value problem for a small value of E. Comparison between the asymptotic solution and the corresponding numerical simulation shows a satisfactory quantitative agreement. For the purpose of illustrating why spherical geometry represents an intricate and exceptional case, we also briefly discuss the initial value problem in a rotating fluid channel. Geophysical and planetary physical implications of the result are also discussed. |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 类目[WOS] | Geochemistry & Geophysics |
| 研究领域[WOS] | Geochemistry & Geophysics |
| 关键词[WOS] | INERTIAL MODES ; THERMAL-CONVECTION ; PRECESSING FLOWS ; SPHERICAL-SHELLS ; WAVES ; LIQUID ; LENGTH ; MANTLE ; ONSET ; EARTH |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000272885200013 |
| 源URL | [http://119.78.226.72/handle/331011/19978]  |
| 专题 | 上海天文台_天文地球动力学研究中心 |
| 作者单位 | 1.Chinese Acad Sci, Shanghai Astron Observ, Shanghai 200030, Peoples R China 2.Univ Exeter, Ctr Geophys & Astrophys Fluid Dynam, Exeter EX4 4QE, Devon, England 3.Univ Exeter, Dept Math Sci, Exeter EX4 4QE, Devon, England |
| 推荐引用方式 GB/T 7714 | Liao, X.,Zhang, K.. Asymptotic and numerical solutions of the initial value problem in rotating planetary fluid cores[J]. GEOPHYSICAL JOURNAL INTERNATIONAL,2010,180(1):181-192. |
| APA | Liao, X.,&Zhang, K..(2010).Asymptotic and numerical solutions of the initial value problem in rotating planetary fluid cores.GEOPHYSICAL JOURNAL INTERNATIONAL,180(1),181-192. |
| MLA | Liao, X.,et al."Asymptotic and numerical solutions of the initial value problem in rotating planetary fluid cores".GEOPHYSICAL JOURNAL INTERNATIONAL 180.1(2010):181-192. |
入库方式： OAI收割
来源：上海天文台
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