电磁场数值计算方法作为本科毕业设计题的探索  

The Numerical Calculation Method of Electromagnetic Field as an Undergraduate Graduation Design Question

作　　者：陈伟军 梁启文 龙世瑜 Chen Weijun;Liang Qiwen;Long Shiyu(College of Information Engineering,Lingnan Normal University,Zhanjiang Guangdong 524048)

机构地区：[1]岭南师范学院信息工程学院

出　　处：《现代工业经济和信息化》2019年第11期22-24,共3页Modern Industrial Economy and Informationization

摘　　要：对基于加权Laguerre多项式的高阶时域有限差分法进行了理论的数值色散分析,并尝试以此作为本科生的毕业设计。该方法通过引入平面波谐波分量,推导出二维案例的数值色散关系,数值相速度与波的传播方向、网格离散和时间尺度因子有关,对于固定的数值相速度误差,合适的采样点密度和时间尺度因子可以确定。通过数值实验比较,相比低阶加权Laguerre多项式的时域有限差分法(WLP-FDTD),高阶算法具有更好的数值色散特性。In this paper, the theoretical numerical dispersion analysis of high-order finite-difference time-domain method based on weighted Laguerre polynomial is carried out, and this is used as the graduation design of undergraduates. The method derives the numerical dispersion relation of the two-dimensional case by introducing the harmonic components of the plane wave. The numerical phase velocity is related to the wave propagation direction,the grid dispersion and the time scale factor. For the fixed numerical phase velocity error, the appropriate sampling point density And the time scale factor can be determined. By numerical experiments, the higher-order algorithm has better numerical dispersion characteristics than the time-domain finite difference method(WLP-FDTD) of low-order weighted Laguerre polynomials.

关 键 词：电磁场 时域有限差分法 高阶差分 

分 类 号：G642[文化科学—高等教育学]