Computational science of fully developed magnetohydrodynamic turbulence: examination of its universality and development of turbulent modeling method

利用三维磁流体动力学（MHD）湍流的直接数值模拟数据，对三阶纵向矩的五分之四定律进行了检验。的方向各向异性的法律的影响建议是实质性的，至少在这里研究的情况下，而这不是三维流体动力学湍流的情况下。本文还发展了三维MHD湍流相干涡量和电流密度随时间演化的模拟方法。结果表明，该方法在自由度减少的情况下，很好地保持了湍流的统计可预测性。

The four-fifths law for third-order longitudinal moments was examined, using direct numerical simulation data of three-dimensional (3D) magnetohydrodynamic (MHD) turbulence. The influence of the directional anisotropy on the law is suggested to be substantial, at least in the case studied here, while this is not the case for 3D hydrodynamic turbulence. A simulation method to track the time evolution of coherent vorticity and current density was also developed for 3D MHD turbulence. It isfound that the method well preserves the statistical predictability of the turbulent flow with a reduced number of degrees of freedom.