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On the four-fifths law in magnetohydrodynamic turbulence

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The four-fifths law for two-point third-order longitudinal moments in three-dimensional (3D) incompressible magnetohydrodynamic (MHD) turbulence is examined. The examination was based on a generalization of the Kármán-Howarth-Kolmogorov equation for isotropic MHD turbulence to anisotropic MHD turbulence. Using direct numerical simulation data of 3D forced incompressible MHD turbulence without a uniformly imposed magnetic field in a periodic box, we quantify the viscous, forcing, anisotropy and non-stationary terms in the generalized equation. It is found that the influence of the anisotropic terms on the four-fifths law is negligible at small scales, compared to that of the viscous term.

Author(s):

Katsunori Yoshimatsu    
Nagoya University
Japan