截断磁等离子体三维M-NPML吸收边界条件

3D Modified Novel PML Absorbing Boundary Condition for Truncating Magnetized Plasma

  • 摘要: 研究三维截断磁化等离子体介质新型完全匹配层(NPML)吸收边界条件(ABC),提出应用于截断色散介质修正的M-NPML,该方法根据NPML坐标变换原理,对麦克斯韦方程中对空间偏导的变量进行坐标拉伸,得到在NPML吸收边界中修正的麦克斯韦方程组.该吸收边界只把对空间偏导的变量进行坐标拉伸,操作简单,避免了PML方法在截断普通介质时采用复杂的场分裂形式,同时比单轴各向异性完全匹配层(UPML)吸收边界截断磁化等离子体介质更加简单,编程复杂度大大降低.算例仿真结果与解析解相符,证实了该算法的有效性.

     

    Abstract: We study absorbing boundary conditions (ABC) of novel perfectly matched layer (NPML) of three-dimensional truncated magnetized plasma. A modified NPML (M-NPML) method is presented. According to electromagnetic scattering theory of magnetized plasma, we stretch space variables of partial derivatives in Maxwell partial differential equations. In the stretched-scheme complex field splitting form is avoided as truncating ordinary media by PML method. Moreover, the scheme is much easier than uniaxial anisotropy perfectly matched layer (UPML) in programming. Simulation results fit analytical solutions, which shows validity of the M-NPML ABC algorithm.

     

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