Plasma discharges in electromagnetic thrusters often operate with weakly-collisional, magnetized electrons. Macroscopic models of electrons provide affordable simulation times but require to be solved in magnetically aligned meshes so that large numerical diffusion does not ruin the solution. This work discusses suitable numerical schemes to solve the axisymmetric equations for the electric current continuity and the tensorial Ohm’s law in such meshes, when bounded by the thruster cylindrical or annular chamber. A finite volume method is appropriate for the current continuity equation, even when meshes present singular magnetic points. Finite differences and weighted least squares methods are compared for the Ohm‘s law. The last method is more prone to producing numerical diffusion and should be used only in the boundary cells and requires a special formulation in the boundary faces. In addition, the use of the thermalized potential is suggested for an accurate computation of pa...

中文翻译：

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电磁等离子推进器仿真代码中磁化电子流体模型的数值处理

电磁推进器中的等离子体放电通常与弱碰撞的磁化电子一起工作。电子的宏观模型提供了可承受的模拟时间，但需要在磁性对准的网格中求解，以便较大的数值扩散不会破坏求解结果。这项工作讨论了合适的数值方案，当以推进器圆柱形或环形腔为边界时，可以求解此类网格中的电流连续性和张量欧姆定律的轴对称方程。有限体积方法适用于电流连续性方程，即使网格存在奇异的磁性点也是如此。比较了欧姆定律的有限差分和加权最小二乘法。最后一种方法更易于产生数值扩散，应仅在边界单元中使用，并且需要在边界面中进行特殊表示。此外，建议使用热电势来精确计算功率。