A hyperbolic-equation system approach for magnetized electron fluids in quasi-neutral plasmas
A hyperbolic-equation system approach for magnetized electron fluids in quasi-neutral plasmas
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DOI：
10.1016/j.jcp.2014.12.024
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发表时间：
2015-03
期刊：
影响因子：
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通讯作者：
R. Kawashima;K. Komurasaki;T. Schönherr
中科院分区：
文献类型：
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作者：
R. Kawashima;K. Komurasaki;T. Schönherr
提出了一种利用双曲方程系统求解准中性等离子体中电子流体的新方法。HES方法避免了交叉扩散项的处理，而交叉扩散项在使用椭圆方程（EE）的传统方法中会导致数值不稳定。试验计算表明，该方法可以利用逆风方法鲁棒地解决强磁约束问题。从问题的大小和磁约束强度两方面比较了HES方法与EE方法的计算时间。结果表明，与EE方法相比，HES方法可以在不增加计算时间的情况下解决简单结构网格中的问题，并且在强磁约束条件下具有快速收敛的特点。
A new approach using a hyperbolic-equation system (HES) is proposed to solve for the electron fluids in quasi-neutral plasmas. The HES approach avoids treatments of cross-diffusion terms which cause numerical instabilities in conventional approaches using an elliptic equation (EE). A test calculation reveals that the HES approach can robustly solve problems of strong magnetic confinement by using an upwind method. The computation time of the HES approach is compared with that of the EE approach in terms of the size of the problem and the strength of magnetic confinement. The results indicate that the HES approach can be used to solve problems in a simple structured mesh without increasing computational time compared to the EE approach and that it features fast convergence in conditions of strong magnetic confinement.