时域无网格算法二维TEz波电磁散射模拟问题研究  

2-D Electromagnetic Scattering Simulation Based on Meshless Time-Domain Algorithm Subject to Incident TEz Wave

作　　者：高煜堃[1] 陈红全[1] 

机构地区：[1]南京航空航天大学航空宇航学院,南京210016

出　　处：《微波学报》2015年第1期1-6,共6页Journal of Microwaves

基　　金：国家自然科学基金(11172134);江苏高校优势学科建设工程资助项目

摘　　要：为了分析目标TEz波电磁散射特性,发展了求解二维TEz波电磁散射问题的时域无网格算法。算法涉及的离散点上的空间导数通过在无网格点云结构上引入函数加权最小二乘逼近确定;数值通量则用近似黎曼解计算确定,通量运算涉及的物理量左右状态值,用二次函数重构替代通常的线性重构以提高计算精度,并沿用四步Runge-Kutta格式进行时间推进求解。论文用发展的算法成功模拟了飞行器主体带外挂等模型模拟的二维情形电磁散射场,并给出了对应的双站雷达散射截面(RCS),展示出电磁波照射方向、外挂尺寸以及外挂与主体的相对位置等因素对主体散射特性的影响。In order to analyze the electromagnetic scattered properties of a 2-D given body with the TEz wave incidence,a meshless time-domain algorithm subject to the incident TEz wave is developed.Based on the clouds of points,a weighted least square technique is introduced to approximate the spatial derivatives at the discrete points,and then an approximate Riemann solver is used for computing the numerical flux related to the governing equations.Physical quantities at the midpoint are determined by the quadratic function reconstruction instead of the traditional linear function reconstruction so as to increase the numerical accuracy.After that,an explicit four-stage Runge-Kutta scheme is employed in time-marching.By using the developed algorithm,scattered fields and bistatic radar cross sections(RCS) are calculated for the cases of a 2-D aerodynamic shape with an external store.Numerical results show that all the factors that include the direction of the incident wave and the size of the external store as well as the relative position between the external store and the main body can affect the total electromagnetic scattered properties.

关 键 词：时域无网格算法 TEz波 电磁散射场 雷达散射截面 加权最小二乘 二次函数重构 

分 类 号：V271.4[航空宇航科学与技术—飞行器设计]