Numerical simulations of thermal convection in a rapidly rotating spherical shell cooled inhomogeneously from above

Numerical simulations of thermal convection in a rapidly rotating spherical shell cooled inhomogeneously from above
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上方不均匀冷却的快速旋转球壳内热对流的数值模拟

DOI:
10.1080/03091929408203654
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发表时间:
1994
影响因子:
1.3
通讯作者:
G. Glatzmaier
G. Glatzmaier
中科院分区:
地球科学4区
文献类型:
--
作者:
Zi;G. Schubert;G. Glatzmaier

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摘要本文用三维时变谱变换程序对快速旋转球壳内的热对流进行了数值模拟。布西内斯克流体的球形壳的内半径和外半径与地球液态外核的内半径和外半径相同。泰勒数为107,普朗特数为1,瑞利数R为5Rc(Rc是当顶部边界等温时对流开始的临界值,R是基于壳体两端的球平均温差)。外壳从下面加热,从上面冷却;没有内部加热。壳的下边界是等温的,并且两个边界都是刚性的和不可渗透的。三种情况被认为是。在一个中,上边界是等温的,而在另一个中,温度异常(l,m)=(3,2)和(6,4)施加在上边界上。球平均的TE…
Abstract Numerical simulations of thermal convection in a rapidly rotating spherical fluid shell with and without inhomogeneous temperature anomalies on the top boundary have been carried out using a three-dimensional, time-dependent, spectral-transform code. The spherical shell of Boussinesq fluid has inner and outer radii the same as those of the Earth's liquid outer core. The Taylor number is 107, the Prandtl number is 1, and the Rayleigh number R is 5Rc (Rc is the critical value of R for the onset of convection when the top boundary is isothermal and R is based on the spherically averaged temperature difference across the shell). The shell is heated from below and cooled from above; there is no internal heating. The lower boundary of the shell is isothermal and both boundaries are rigid and impermeable. Three cases are considered. In one, the upper boundary is isothermal while in the others, temperature anomalies with (l,m) = (3,2) and (6,4) are imposed on the top boundary. The spherically averaged te...