Nonlinear dynamics of boussinesq convection in a deep rotating spherical shell-i
Nonlinear dynamics of boussinesq convection in a deep rotating spherical shell-i
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DOI：
10.1080/03091927708240373
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发表时间：
1977
影响因子：
1.3
通讯作者：
P. Gilman
中科院分区：
文献类型：
--
作者：
P. Gilman
摘要旋转球壳中的对流对于理解许多天体的大气动力学和内部动力学有着广泛的应用。在本文中，我们审查的线性结果对流壳的有限深度在大量的，但不是渐近大泰勒数，目前非线性多模计算类似的条件下，并讨论了模型和结果的背景下，太阳能对流和微分旋转的问题。对泰勒数T = 105，普朗特数P = 1，瑞利数R在1| MX 104和4| MX 104（约为4 - 16倍临界值），适用于深度为外径20%的壳体。通常包括16个纵波数（所有偶数波数m在0和30之间），其振幅在子午面的交错网格上计算。动能谱在波数m = 12-18的R = 104处有一个峰，它跨越了临界波。
Abstract Convection in a rotating spherical shell has wide application for understanding the dynamics of the atmospheres and interiors of many celestial bodies. In this paper we review linear results for convection in a shell of finite depth at substantial but not asymptotically large Taylor numbers, present nonlinear multimode calculations for similar conditions, and discuss the model and results in the context of the problem of solar convection and differential rotation. Detailed nonlinear calculations are presented for Taylor number T = 105, Prandtl number P = 1, and Rayleigh number R between 1 |MX 104 and 4 |MX 104 (which is between about 4 and 16 times critical) for a shell of depth 20% of the outer radius. Sixteen longitudinal wave numbers are usually included (all even wave numbers m between 0 and 30) the amplitudes of which are computed on a staggered grid in the meridian plane. The kinetic energy spectrum shows a peak in the wave number range m = 12–18 at R = 104, which straddles the critical wav...