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arXiv 0812.3958astro-ph
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刚性旋转湍流对流中的大尺度发电机

Large-scale dynamos in rigidly rotating turbulent convection

P. J. Käpylä, M. J. Korpi, A. Brandenburg

摘要:

通过对旋转可压缩对流的三维数值模拟,研究了无剪切的刚性旋转湍流对流中大尺度发电机的存在性。我们证明,旋转的笛卡尔域中的对流可以驱动一个大规模的发电机,即使在没有剪切。在饱和状态下,大尺度场占总场的很大一部分。模拟结果进行了比较与一维平均场发电机模型,其中湍流传输系数,使用测试场法确定。在早期的研究中,没有大规模发电机作用的原因是由于旋转太慢:而α效应可以改变符号,其大小保持近似恒定的旋转函数,湍流扩散率随着旋转的增加而单调下降。只有当旋转足够快时,才能激发大型发电机。一维平均场模型与发电机系数从测试场结果预测相当不错的直接模拟中的发电机激励。这一结果进一步验证了测试场的程序,并加强了解释,所观察到的发电机是由湍流α效应。这一结果证明了自然强迫下α效应和α ^2发电机的存在。

英文摘要:

The existence of large-scale dynamos in rigidly rotating turbulent convection without shear is studied using three-dimensional numerical simulations of penetrative rotating compressible convection. We demonstrate that rotating convection in a Cartesian domain can drive a large-scale dynamo even in the absence of shear. The large-scale field contains a significant fraction of the total field in the saturated state. The simulation results are compared with one-dimensional mean-field dynamo models where turbulent transport coefficients, as determined using the test field method, are used. The reason for the absence of large-scale dynamo action in earlier studies is shown to be due to the rotation being too slow: whereas the alpha-effect can change sign, its magnitude stays approximately constant as a function of rotation, and the turbulent diffusivity decreases monotonically with increasing rotation. Only when rotation is rapid enough a large-scale dynamo can be excited. The one-dimensional mean-field model with dynamo coefficients from the test field results predicts reasonably well the dynamo excitation in the direct simulations. This result further validates the test field procedure and reinforces the interpretation that the observed dynamo is driven by a turbulent alpha-effect. This result demonstrates the existence of an alpha-effect and an alpha^2-dynamo with natural forcing.

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