电阻磁流体力学模拟的CESE方法

利用时空守恒元解元方法(CESE)和两种改进方法, 即库朗数不敏感(CNIS)方法与高阶CESE方法求解2.5维电阻磁流体力学(resistive MHD)方程组, 模拟了两个单电流片重联问题. 并考察了上述三种方法所得结果的磁场散度. 分析表明, 三种方法所得到的磁场位形基本没有差别, 但在磁场散度上存在一定差异, 相比另外两种方法, CNIS方法在控制磁场散度方面表现得更好. 

CESE Method for Resistive Magnetohydrodynamics

In this paper, the 2.5-dimensional resistive Magnetohydrodynamics (MHD) equations were solved to simulate two magnetic reconnection problems in single current sheet by applying the space-time Conservation Element and Solution Element (CESE) method. Three different versions of CESE method are employed: (1) the original CESE method, (2) the Courant Number Insensitive Scheme (CNIS) CESE method, (3) the high order CESE method. The numerical results obtained from the above-mentioned approaches are discussed in the aspect of the divergence of the magnetic field. The numerical results indicate that no obvious differences exist among the three approaches in the configuration of the magnetic field. However, for the divergence of the magnetic field, the results obtained from the three approaches differ from each other. In respect to keeping the divergence of the magnetic field small, the CNIS method is better than the others. It is hoped that these conclusions might be helpful for the design of algorithm where the magnetic reconnection problems should be included, since the controlling of the divergence of the magnetic field is one of the key issues in MHD simulation.