地核的 Plesio-geostrophy: II.热方程和对流的开始

IF 2.8 3区 地球科学 Q2 GEOCHEMISTRY & GEOPHYSICS
Stefano Maffei, Andrew Jackson, Philip W Livermore
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引用次数: 0

摘要

摘要 柱流近似可以开发出计算效率高的数值模型,用于研究地球流体外核的快速旋转动力学。在本文中,我们通过加入热效应和粘性边界条件,扩展了一种称为 Plesio-Geostrophy(PG)的新型柱状流计算方法。无滑动边界和无应力边界的影响都被包括在内,后者是柱状流模型的新颖之处。我们得到了一组流体流动和温度的全二维演化方程,其中除了推导近似热扩散算子外,没有对后者的几何形状做任何假设。为了测试新的 PG 实现,我们计算了球形域中热对流开始的临界参数。我们发现,与另一种最先进的柱状流模型相比,PG 模型的预测结果与快速旋转状态下的非近似三维计算结果更为一致。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Plesio-geostrophy for Earth’s core: II. Thermal equation and onset of convection
Summary The columnar-flow approximation allows the development of computationally efficient numerical models tailored to the study of the rapidly rotating dynamics of Earth’s fluid outer core. In this paper we extend a novel columnar-flow formulation, called Plesio-Geostrophy (PG) by including thermal effects and viscous boundary conditions. The effect of both no-slip and stress-free boundaries, the latter being a novelty for columnar-flow models, are included. We obtain a set of fully 2D evolution equations for fluid flows and temperature where no assumption is made regarding the geometry of the latter, except in the derivation of an approximate thermal diffusion operator. To test the new PG implementation, we calculated the critical parameters for onset of thermal convection in a spherical domain. We found that the PG model prediction is in better agreement with unapproximated, 3D calculations in rapidly rotating regimes, compared to another state-of-the-art columnar-flow model.
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来源期刊
Geophysical Journal International
Geophysical Journal International 地学-地球化学与地球物理
CiteScore
5.40
自引率
10.70%
发文量
436
审稿时长
3.3 months
期刊介绍: Geophysical Journal International publishes top quality research papers, express letters, invited review papers and book reviews on all aspects of theoretical, computational, applied and observational geophysics.
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