ABSTRACT We test the sensitivity of hydrodynamic and magnetohydrodynamic turbulent convection simulations with respect to Mach number, thermal and magnetic boundary conditions, and the centrifugal force. We find that varying the luminosity, which also controls the Mach number, has only a minor effect on the large-scale dynamics. A similar conclusion can also be drawn from the comparison of two formulations of the lower magnetic boundary condition with either vanishing electric field or current density. The centrifugal force has an effect on the solutions, but only if its magnitude with respect to acceleration due to gravity is by two orders of magnitude greater than in the Sun. Finally, we find that the parameterisation of the photospheric physics, either by an explicit cooling term or enhanced radiative diffusion, is more important than the thermal boundary condition. In particular, runs with cooling tend to lead to more anisotropic convection and stronger deviations from the Taylor-Proudman state. In summary, the fully compressible approach taken here with the Pencil Code is found to be valid, while still allowing the disparate timescales to be taken into account.

中文翻译：

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球壳对流中对光度、离心力和边界条件的敏感性

摘要 我们测试了流体动力学和磁流体动力学湍流对流模拟在马赫数、热和磁边界条件以及离心力方面的敏感性。我们发现改变光度，也控制马赫数，对大尺度动力学只有很小的影响。通过比较具有消失电场或电流密度的下磁边界条件的两种公式，也可以得出类似的结论。离心力对解有影响，但前提是离心力相对于重力加速度的大小比太阳大两个数量级。最后，我们发现光球物理学的参数化，无论是通过明确的冷却项还是增强的辐射扩散，比热边界条件更重要。特别是，冷却运行往往会导致更多的各向异性对流和与 Taylor-Proudman 状态的更大偏差。总之，这里采用铅笔代码的完全可压缩方法被发现是有效的，同时仍然允许考虑不同的时间尺度。