中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
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; Zhang, Keke2,3
刊名PHYSICS OF THE EARTH AND PLANETARY INTERIORS
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.

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来源:上海天文台

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