This paper gives a derivation of the two-temperature Euler plasma system from the two-fluid MHD model. The two-temperature Euler plasma system is proved to be an asymptotic regime for weakly magnetized plasma of the two-fluid MHD model. Our procedure is more general, enabling us to show that assumptions in previous derivations in literature are straightforward consequences of our work. We then propose a finite volume approximation to compute the solution of the two-temperature Euler plasma model in unstructured tessellations used to adequately mesh the toroidal geometry of the tokamak, where flows the plasma. Numerical tests illustrate our method.

中文翻译：

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二温欧拉等离子体模型的推导与数值近似

本文从双流体 MHD 模型中推导了双温度欧拉等离子体系统。证明了双温度欧拉等离子体系统是双流体 MHD 模型弱磁化等离子体的渐近状态。我们的程序更通用，使我们能够证明先前文献推导中的假设是我们工作的直接结果。然后，我们提出了一个有限体积近似值来计算非结构化镶嵌中的双温度欧拉等离子体模型的解，用于充分网格化托卡马克的环形几何形状，其中流动着等离子体。数值测试说明了我们的方法。