Energy transfer in compressible magnetohydrodynamic turbulence for isothermal self-gravitating fluids.
Energy transfer in compressible magnetohydrodynamic turbulence for isothermal self-gravitating fluids.
复制标题
等温自重力流体可压缩磁流体动力湍流中的能量传递。
DOI：
10.1103/physreve.97.023107
复制
发表时间：
2018
期刊：
影响因子：
--
通讯作者：
A. Kritsuk
中科院分区：
文献类型：
--
作者：
S. Banerjee;A. Kritsuk
在大雷诺数（动力学和磁）渐近极限下，利用两点统计分析了等温自重力流体的三维可压缩磁流体动力学湍流。根据Banerjee和Galtier[物理学家]提出的另一种公式。Rev. E 93, 033120 (2016)2470-004510.1103/PhysRevE.93.033120；期刊。答:数学。理论[j] . 50, 015501(2017)1751-811310.1088/1751-8113/50/1/015501，导出了总能量传递的精确关系式。这种方法产生了一个完全用混合二阶结构函数表示的更简单的关系。动能、热力、磁力和重力对能量传递速率的贡献可以很容易地以目前的形式分离出来。通过构造，新形式包含了全局旋转、感应方程中的霍尔项等附加效应。分析表明，固体旋转不能改变可压缩湍流的能量通量。然而，与不可压缩情况不同，均匀背景磁场对通量的贡献是非平凡的。最后，可压缩的湍流能量通量不会因为简单的排列而完全消失，这导致不可压缩情况下的湍流能量通量为零。
Three-dimensional, compressible, magnetohydrodynamic turbulence of an isothermal, self-gravitating fluid is analyzed using two-point statistics in the asymptotic limit of large Reynolds numbers (both kinetic and magnetic). Following an alternative formulation proposed by Banerjee and Galtier [Phys. Rev. E 93, 033120 (2016)2470-004510.1103/PhysRevE.93.033120; J. Phys. A: Math. Theor. 50, 015501 (2017)1751-811310.1088/1751-8113/50/1/015501], an exact relation has been derived for the total energy transfer. This approach results in a simpler relation expressed entirely in terms of mixed second-order structure functions. The kinetic, thermodynamic, magnetic, and gravitational contributions to the energy transfer rate can be easily separated in the present form. By construction, the new formalism includes such additional effects as global rotation, the Hall term in the induction equation, etc. The analysis shows that solid-body rotation cannot alter the energy flux rate of compressible turbulence. However, the contribution of a uniform background magnetic field to the flux is shown to be nontrivial unlike in the incompressible case. Finally, the compressible, turbulent energy flux rate does not vanish completely due to simple alignments, which leads to a zero turbulent energy flux rate in the incompressible case.