论文标题
用于研究大厅对磁性水力动力湍流宏观方面的影响的子网格尺度模型
Sub-grid-scale model for studying Hall effects on macroscopic aspects of magnetohydrodynamic turbulence
论文作者
论文摘要
开发了一种新的亚网格尺度模型，用于研究HALL项对磁流体动力湍流的宏观方面的影响。尽管Hall术语通过令人兴奋的高波数量系数使数值模拟变得非常昂贵，并使磁性水力动力学方程式变得僵硬，研究磁性水力动力学湍流的宏观方面以及Hall术语是有意义的，因为这个术语通常会影响不仅要影响亚级级别，还会影响型型型型宏观量表。为了克服困难，开发了一种新的用于大型磁性流动动力湍流的大型涡流模拟的亚离子尺度尺寸模型。通过使用新模型的大型涡流模拟成功地再现了统计性质，例如涡度和电流密度的能量和概率密度函数，从而使霍尔磁性流失动力动力湍流具有固有的一些本质。我们的新的子网格尺度模型可以以较小的计算成本来对均质和各向同性霍尔磁流体动力湍流进行数值模拟，从而改善了与早期模型进行的LE的基本分辨率，并保留了网格尺度中HALL项的ION-Electron分离效应。
A new sub-grid-scale model is developed for studying influences of the Hall term on macroscopic aspects of magnetohydrodynamic turbulence. Although the Hall term makes numerical simulations extremely expensive by exciting high-wave-number coefficients and makes magnetohydrodynamic equations stiff, studying macroscopic aspects of magnetohydrodynamic turbulence together with the Hall term is meaningful since this term often influences not only sub-ion-scales but also macroscopic scales. A new sub-ion-scale sub-grid-scale model for large eddy simulations of Hall magnetohydrodynamic turbulence is developed in order to overcome the difficulties. Large eddy simulations by the use of the new model successfully reproduce statistical natures such as the energies and probability density functions of the vorticity and current density, keeping some natures intrinsic to Hall magnetohydrodynamic turbulence. Our new sub-grid-scale model enables numerical simulations of homogeneous and isotropic Hall magnetohydrodynamic turbulence with a small computational cost, improving the essential resolution of an LES from that carried out with earlier models, and retaining the ion-electron separation effects by the Hall term in the grid scales.
