Modeling the Resistive MHD by the Cese Method
Modeling the Resistive MHD by the Cese Method
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DOI：
10.1007/s11207-006-0040-6
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发表时间：
2006-05
期刊：
影响因子：
2.8
通讯作者：
Xueshang Feng;Yanqi Hu;F. Wei
中科院分区：
文献类型：
--
作者：
Xueshang Feng;Yanqi Hu;F. Wei
本文将时空守恒元和解元（CESE）方法应用于笛卡尔坐标系中的2.5维电阻性磁流体动力学（MHD）方程，目的是对磁重联研究进行建模。为了证明其应用于MHD重联问题的有效性和能力，对多个日光层电流片中的自发快速重联和磁重联进行了研究，结果与其他作者之前获得的结果具有良好的一致性。为了以数值方式评估 ∇ ⋅B= 0 约束，分析了 ∇ ⋅B= 0 的轮廓和演化。数值结果告诉我们，CESE数值格式不仅具有良好的数值分辨率，而且在演化过程中重联问题中无需任何特殊处理就能保持磁场的无散度条件。
In this paper, the Space–Time Conservation Element and Solution Element (CESE) method is applied to 2.5-dimensional resistive magnetohydrodynamics (MHD) equations in Cartesian coordinates, with the purpose of modeling the magnetic reconnection study. To show the validity and capacity of its application to MHD reconnection problem, spontaneous fast reconnection and magnetic reconnection in multiple heliospheric current sheets are studied, which show good consistency with those obtained formerly by other authors. In order to assess the ∇ ⋅B= 0 constraint numerically, the contours and evolution of ∇ ⋅Bare analyzed. The numerical results tell us that the CESE numerical scheme not only has good numerical resolution but also can keep the divergence-free condition for magnetic fields in the reconnection problems during the evolutionary process without any special treatment.