A flux‐limited numerical method for solving the MHD equations to simulate propulsive plasma flows
A flux‐limited numerical method for solving the MHD equations to simulate propulsive plasma flows
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DOI：
10.1002/nme.343
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发表时间：
2002-02
影响因子：
2.9
通讯作者：
K. Sankaran;L. Martinelli;S. Jardin;E. Choueiri
中科院分区：
文献类型：
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作者：
K. Sankaran;L. Martinelli;S. Jardin;E. Choueiri
为了使数值模拟成为等离子体推进研究中的有效工具，需要一种高阶精确的求解器，该求解器能够单调地捕获MHD激波，并在强磁场下可靠地工作。为此，已经开发了一种基于特征的MHD方程格式，并带有通量限制器以提高空间精度。在这种方法中，磁流体力学方程的对称形式，占波在各个方向上传播，解决。本文给出了轴对称磁流体动力学方程所需的本征系统，并作了适当的归一化处理。该方案通过非定常（黎曼问题）和无力平衡（泰勒状态）测试用例以及磁等离子体动力学推力器中测量的电流密度模式进行了验证。版权所有© 2001约翰威利父子有限公司。
For numerical simulations to be effective tools in plasma propulsion research, a high‐order accurate solver that captures MHD shocks monotonically and works reliably for strong magnetic fields is needed. For this purpose, a characteristics‐based scheme for the MHD equations, with flux limiters to improve spatial accuracy, has been developed. In this method, the symmetric form of the MHD equations, accounting for waves propagating in all directions, are solved. The required eigensystem of axisymmetric MHD equations, with appropriate normalization, is presented. This scheme was validated with unsteady (Riemann problem) and force‐free equilibrium (Taylor state) test cases, as well as with measured current density patterns in a magnetoplasmadynamic thruster. Copyright © 2001 John Wiley & Sons, Ltd.