A new one-dimensional moving mesh method applied to the simulation of streamer discharges
A new one-dimensional moving mesh method applied to the simulation of streamer discharges
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DOI：
10.1088/0022-3727/40/21/016
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发表时间：
2007-10
期刊：
影响因子：
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通讯作者：
D. Bessières;J. Paillol;A. Bourdon;P. Ségur;E. Marode
中科院分区：
文献类型：
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作者：
D. Bessières;J. Paillol;A. Bourdon;P. Ségur;E. Marode
流光前沿传播涉及电荷密度和电场的陡梯度。由于前必须与足够数量的点，自适应网格是必不可少的快速和准确的数值模拟。本文提出了一种一维（1D）移动网格方法，最近发展的唐和唐（2003年SIAM J. Numer. Anal. 41 487-515）成功地应用于流光放电的模拟。对大气压下氮气中的流光放电进行了一维半（1.5D）和二维（2D）模拟。将移动网格法与三阶ULTIMATE QUICKEST格式（伦纳德1991 Comput. Math.Appl.Mech.Eng.8817 -74）来求解等离子体连续性方程的对流部分，这些对流部分是在流光模拟中选择的经典问题：点到面和面到面电极系统。一维移动网格法与高阶格式的结合提高了数值解的精度，减少了计算时间。
Streamer front propagation involves steep gradients in charge density and electric field. Since the front has to be meshed with a sufficient number of points, adaptive meshing is essential for fast and accurate numerical simulations. In this paper a one-dimensional (1D) moving mesh method recently developed by Tang and Tang (2003 SIAM J. Numer. Anal. 41 487–515) is successfully applied to the simulation of streamer discharge. One-and-half (1.5D) and two-dimensional (2D) simulations of streamer discharges in nitrogen at atmospheric pressure are presented. The moving mesh method is combined with the third order ULTIMATE QUICKEST scheme (Leonard 1991 Comput. Math. Appl. Mech. Eng. 88 17–74) to solve the advection part of the plasma continuity equations in a selection of classical problems in streamer simulation: point-to-plane and plane-to-plane electrode systems. The combination of the 1D moving mesh method and the high order scheme increases the accuracy of numerical solutions and reduces the computational time.