二维磁流体动力学中的抵消指数和多重分形结构：直接数值模拟和拉格朗日平均模拟
Cancellation exponent and multifractal structure in two-dimensional magnetohydrodynamics: direct numerical simulations and Lagrangian averaged modeling
摘要：
我们提出了直接的数值模拟和拉格朗日平均（也称为α模型）模拟强制和自由衰减磁流体动力学湍流在两个维度。利用结构的抵消指数和分形维数研究了小尺度下电流符号抵消的统计特性。阿尔法模型被发现有相同的标度行为之间的积极和消极的贡献直接数值模拟。α模型也能够再现这些量在自由衰减湍流中的时间演化。在大的雷诺数，一个独立的取消指数与雷诺数观察。
英文摘要：
We present direct numerical simulations and Lagrangian averaged (also known as alpha-model) simulations of forced and free decaying magnetohydrodynamic turbulence in two dimensions. The statistics of sign cancellations of the current at small scales is studied using both the cancellation exponent and the fractal dimension of the structures. The alpha-model is found to have the same scaling behavior between positive and negative contributions as the direct numerical simulations. The alpha-model is also able to reproduce the time evolution of these quantities in free decaying turbulence. At large Reynolds numbers, an independence of the cancellation exponent with the Reynolds numbers is observed.
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