麦克斯韦方程时域无网格算法及其应用研究  

Meshless time-domain method and its applications for solving Maxwell's equations

作　　者：高煜堃[1] 陈红全[1] 蒲赛虎[1] 

机构地区：[1]南京航空航天大学航空宇航学院,江苏南京210016

出　　处：《电波科学学报》2013年第6期1013-1020,共8页Chinese Journal of Radio Science

基　　金：国家自然科学基金资助项目(No.11172134);江苏高校优势学科建设工程资助项目

摘　　要：发展了用于求解麦克斯韦方程的时域无网格算法.该法计算区域直接快速布点构成点云离散;基于点云结构,引入二次极小曲面逼近确定空间导数,构造近似黎曼解处理算法涉及的通量运算;空间离散后的半离散方程则按照四步RungeKutta格式推进求解.基于发展的算法,数值模拟了二维典型目标的电磁散射场,计算结果与文献结果或理论解一致.还给出了主体带外挂和飞机模型算例,表明该发展的算法适合处理多体及多部件干扰等复杂情形.A meshless time-domain method for a solution of the Maxwell＇s equations is developed. Clouds of points are distributed all over the computational domain, which is realized by a technique newly developed for distributing points directly and quickly. The spatial derivatives are approximated by using a local leastsquare curve fit in each cloud of points,and a particular approximate Riemann solver is constructed for computing the physical flux of the governing equations. Then an explicit four-stage Runge-Kutta scheme is used to advance the Maxwell＇s equations in time. The numerical radar cross sections of typical 2-D objects are obtained by using the present method and are in good agreement with those of other methods in open literatures. The paper ends with the computation of scattered fields of complicated aerodynamic bodies like aircraft models, which show the present method has the ability to accommodate complex geometries with multi-element or multi-component.

关 键 词：时域无网格算法 麦克斯韦方程 点云 通量运算 复杂外形 

分 类 号：O441.4[理学—电磁学]