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Shell to shell energy transfer in MHD, Part I: steady state turbulence

机译:MHD中的壳到壳能量传递,第一部分:稳态湍流

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摘要

We investigate the transfer of energy from large scales to small scales in fully developed forced three-dimensional MHD-turbulence by analyzing the results of direct numerical simulations in the absence of an externally imposed uniform magnetic field. Our results show that the transfer of kinetic energy from the large scales to kinetic energy at smaller scales, and the transfer of magnetic energy from the large scales to magnetic energy at smaller scales, are local, as is also found in the case of neutral fluids, and in a way that is compatible with Kolmogorov (1941) theory of turbulence. However, the transfer of energy from the velocity field to the magnetic field is a highly non-local process in Fourier space. Energy from the velocity field at large scales can be transfered directly into small scale magnetic fields without the participation of intermediate scales. Some implications of our results to MHD turbulence modeling are also discussed.
机译:我们通过分析在没有外部施加的均匀磁场的情况下直接数值模拟的结果来研究在完全发展的强迫三维MHD湍流中能量从大尺度到小尺度的转移。我们的结果表明,动能从大尺度到小尺度的动能的转移,以及磁能从大尺度到小尺度的磁能的转移是局部的,在中性流体的情况下也是如此。 ,并且与Kolmogorov(1941)的湍流理论兼容。但是,在傅立叶空间中,能量从速度场到磁场的转移是一个高度非局部的过程。大规模的速度场产生的能量可以直接转移到小规模的磁场中,而无需中间尺度的参与。还讨论了我们的结果对MHD湍流建模的一些影响。

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