理想二流体等离子体方程的间断Galerkin方法
A Discontinuous Galerkin Method for Ideal Two-Fluid Plasma Equations
摘要：
对理想五阶矩双流体等离子体系统提出了间断Galerkin方法。该方法采用二阶或三阶间断Galerkin空间离散和三阶TVD Runge-Kutta时间推进格式。该方法是基准对色散电声方脉冲的解析解，以及双流体电磁冲击和现有的数值解的创业板挑战磁重联问题。该算法可以推广到任意几何形状和三维空间。提出了一种基于误差传播的小尺寸误差保持方法。
英文摘要：
A discontinuous Galerkin method for the ideal 5 moment two-fluid plasma system is presented. The method uses a second or third order discontinuous Galerkin spatial discretization and a third order TVD Runge-Kutta time stepping scheme. The method is benchmarked against an analytic solution of a dispersive electron acoustic square pulse as well as the two-fluid electromagnetic shock and existing numerical solutions to the GEM challenge magnetic reconnection problem. The algorithm can be generalized to arbitrary geometries and three dimensions. An approach to maintaining small gauge errors based on error propagation is suggested.
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