On viscous decay factors for spherical inertial modes in rotating planetary fluid cores: Comparison between asymptotic and numerical analysis
文献类型:期刊论文
作者 | Liao, Xinhao1![]() |
刊名 | PHYSICS OF THE EARTH AND PLANETARY INTERIORS
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出版日期 | 2008-08-01 |
卷号 | 169期号:1-4页码:211-219 |
关键词 | Rotating spheres Inertial modes Viscous decay factors |
英文摘要 | The initial value problem of how an initial state of fluid motion, excited by earthquake or tide and then damped by viscous dissipation, decays toward the state of rigid-body rotation is considered for rapidly rotating fluid spheres like planetary fluid cores. An essential element in an asymptotic time-dependent solution for the initial value problem is the viscous decay factors for spherical inertial modes. We derive an analytical expression for the viscous decay factors valid for a broad range of the inertial modes that are required for an asymptotic solution of the initial value problem at an arbitrarily small but fixed Ekman number. We also perform fully numerical analysis to compute the viscous decay factors for several selected inertial modes, showing a quantitative agreement between the asymptotic and numerical analysis. It is argued that the correct viscous decay factors cannot be derived using an asymptotic expansion based on the half powers of a small Ekman number. (C) 2008 Elsevier B.V. All rights reserved. |
WOS标题词 | Science & Technology ; Physical Sciences |
类目[WOS] | Geochemistry & Geophysics |
研究领域[WOS] | Geochemistry & Geophysics |
关键词[WOS] | THERMAL-CONVECTION ; FINITE-ELEMENT ; WAVES ; ONSET |
收录类别 | SCI |
语种 | 英语 |
WOS记录号 | WOS:000260648700021 |
公开日期 | 2010-07-30 |
源URL | [http://119.78.226.72//handle/331011/10604] ![]() |
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, Dept Math, Exeter EX4 4QE, Devon, England 3.Univ Exeter, Ctr Geophys & Astrophys Fluid Dynam, Exeter EX4 4QE, Devon, England |
推荐引用方式 GB/T 7714 | Liao, Xinhao,Zhang, Keke. On viscous decay factors for spherical inertial modes in rotating planetary fluid cores: Comparison between asymptotic and numerical analysis[J]. PHYSICS OF THE EARTH AND PLANETARY INTERIORS,2008,169(1-4):211-219. |
APA | Liao, Xinhao,&Zhang, Keke.(2008).On viscous decay factors for spherical inertial modes in rotating planetary fluid cores: Comparison between asymptotic and numerical analysis.PHYSICS OF THE EARTH AND PLANETARY INTERIORS,169(1-4),211-219. |
MLA | Liao, Xinhao,et al."On viscous decay factors for spherical inertial modes in rotating planetary fluid cores: Comparison between asymptotic and numerical analysis".PHYSICS OF THE EARTH AND PLANETARY INTERIORS 169.1-4(2008):211-219. |
入库方式: OAI收割
来源:上海天文台
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