Numerical Simulations of Hall MHD Turbulence with Magnetization

抄録

Direct numerical simulations (DNS) and large eddy simulations (LES) of homogeneous Hall magnetohydrodynamic (MHD) simulations are carried out to verify the properties of a sub-grid-scale (SGS) model which has been developed for LES recently. LES with the new SGS model reproduces one-dimensional spectra of DNS. It is also shown that the probability density functions (PDFs) of the current density components of DNS and LES in the grid-scale coincide with each other by an appropriate normalization. We verify by this numerical study that our improved SGS model is applicable to homogeneous Hall MHD turbulence. We also find that the difference in the deviation of the current density components is smaller in the MHD-scale of LES than in that of DNS. These results provide a new insight to study the spectral anisotropy of turbulence, especially in relation to the sub-ion-scale.