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任意正多边形静态电场的数值算法研究与仿真
Research and Simulation on Numerical Algorithm for Two-dimension Electrostatic Field of Arbitrary Regular Equilateral Polygon
【摘要】 讨论了任意正多边形静态电场的边界条件处理方法,用三角形网格将任意正多边形内连续分布的场离散化,提出并推导了其二维拉普拉斯方程的有限差分模型算法;将超松弛法引入有限差分程序,加快了收敛速度;分别利用自编的有限差分MATLAB程序以及ANSYS的GUI方式,研究了边界形状较为复杂的正五边形二维场域内电位分布;分析了仿真过程中存在的问题并且提出了互补解决方法。
【Abstract】 The processing method concerning boundary condition of the arbitrary regular equilateral polygon was discussed and the continuous field of arbitrary regular equilateral polygon was discretized by triangle lattices, and the algorithm of the finite difference model of laplace equation of two-dismension electromagnetic field was put forward and inferred. Successive overrelaxation method into the computer program was brought, and simulation results showed that the convergence rate was accelerated; A two-dimension static field of complex boundary structure of a regular pentagon was taken as an example, the arithmetic solution and electric potential distribution were elicited by compiling computer program of MATLAB language and Graphical User Interface (GUI) provided by ANSYS was used respectively; As a result, the problem during simulation process was analyzed, and several complementary terms of settlement were offered.
【Key words】 regular equilateral polygon; electrostatic field; finite difference method; simulation analysis;
- 【文献出处】 系统仿真学报 ,Journal of System Simulation , 编辑部邮箱 ,2009年12期
- 【分类号】O441.4
- 【被引频次】1
- 【下载频次】230