Predicting the Rossby Number in Convective Experiments

Predicting the Rossby Number in Convective Experiments
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DOI:
10.3847/1538-4357/aaff61
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发表时间:
2019-02-20
影响因子:
4.9
通讯作者:
Vasil, Geoffrey M.
Vasil, Geoffrey M.
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Anders, Evan H.;Manduca, Cathryn M.;Vasil, Geoffrey M.

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Rossby数是描述恒星和行星中对流动力学的旋转约束程度的重要参数。然而,它不是对流计算模型的输入,而是必须事后测量。在这里,我们报告发现了一个新的数量,预测Rossby数,这是密切相关的Rossby数和指定的共同输入数值模型。预测Rossby数可以独立于Rayleigh数指定,允许数值解套件将旋转约束的程度与对流驱动的强度分开。我们研究缩放的对流传输的努塞尔数和湍流的雷诺数的程度方面的流动,我们发现缩放律几乎相同的非旋转对流在低Rossby数时,预测Rossby数保持不变。最后,我们将边界层描述为恒定Rossby数下湍流增加的函数。
The Rossby number is a crucial parameter describing the degree of rotational constraint on the convective dynamics in stars and planets. However, it is not an input to computational models of convection but must be measured ex post facto. Here, we report the discovery of a new quantity, the predictive Rossby number, which is both tightly correlated with the Rossby number and specified in terms of common inputs to numerical models. The predictive Rossby number can be specified independent of Rayleigh number, allowing suites of numerical solutions to separate the degree of rotational constraint from the strength of the driving of convection. We examine the scaling of convective transport in terms of the Nusselt number and the degree of turbulence in terms of the Reynolds number of the flow, and we find scaling laws nearly identical to those in non-rotational convection at low Rossby number when the predictive Rossby number is held constant. Finally, we describe the boundary layers as a function of increasing turbulence at constant Rossby number.