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MHD dynamo simulation using the GeoFEM platform: Comparison with a spectral method

机译:使用GeoFEM平台进行MHD发电机仿真:与光谱方法进行比较

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摘要

We investigate differences of results of a MHD dynamo simulation using the finite-element method (FEM) with that by the spherical harmonics expansion. The simulation was performed with a total of 7.8x10(4) elements in the simulation domain. The results show that the magnetic energy is generated approximately four times of the kinetic energy in both cases. The outline of present results has consistence with that by the spectral method. However, small-scale patterns can be observed in the spectral method case. These discrepancies are caused by limitation of the spatial resolution in both of the present simulations.
机译:我们研究了使用有限元方法(FEM)进行的MHD发电机仿真结果与通过球谐函数展开得到的结果的差异。在模拟域中使用总共7.8x10(4)元素进行了模拟。结果表明,两种情况下产生的磁能约为动能的四倍。目前结果的轮廓与光谱方法相吻合。但是,在光谱方法的情况下可以观察到小规模的图案。这些差异是由于在两个当前模拟中空间分辨率的限制而引起的。

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