论文标题
三维磁流体动力动力湍流的直接数值模拟具有随机的，强大的强迫
Direct Numerical Simulations of Three-dimensional Magnetohydrodynamic Turbulence with Random, Power-law Forcing
论文作者
论文摘要
We present pseudospectral direct-numerical-simulation (DNS) studies of the three-dimensional magnetohydrodynamic (MHD) equations (3DRFMHD) with a stochastic force that has zero mean and a variance $\sim k^{-3}$, where $k$ is the wavenumber, because 3DRFMHD is used in field-theoretic studies of the scaling of energy spectra in MHD湍流。我们通过使用扩展的自我相似性（ESS）程序获得了速度和磁场光谱和结构函数，从这些速度和磁场光谱和结构功能。这些指数比例位于传统三维MHD湍流（3DMHD）的对应物的误差栏内。然后，我们通过检查各种概率分布函数（PDFS），关节PDFS和Isosurfaces的统计属性进行系统比较，例如，涡流的涡流和电流密度，三个磁性prandtl Number $ $ pr Mm prm prm prm prm prm prm prm {$ rm rm rm rm {$ rm rm rm} = 0.1，
We present pseudospectral direct-numerical-simulation (DNS) studies of the three-dimensional magnetohydrodynamic (MHD) equations (3DRFMHD) with a stochastic force that has zero mean and a variance $\sim k^{-3}$, where $k$ is the wavenumber, because 3DRFMHD is used in field-theoretic studies of the scaling of energy spectra in MHD turbulence. We obtain velocity and magnetic-field spectra and structure functions and, from these, the multiscaling exponent ratios $ζ_p/ζ_3$, by using the extended self similarity (ESS) procedure. These exponent ratios lie within error bars of their counterparts for conventional three-dimensional MHD turbulence (3DMHD). We then carry out a systematic comparison of the statistical properties of 3DMHD and 3DRFMHD turbulence by examining various probability distribution functions (PDFs), joint PDFs, and isosurfaces of of, e.g., the moduli of the vorticity and the current density for three magnetic Prandtl numbers ${\rm Pr_M} = 0.1,~1$, and $10$.
