基于目标三角面元模型生成FDTD共形网格的方法

Conformal FDTD mesh-generating technique for objects with triangle-patch model

提出了一种基于目标三角面元数据的FDTD共形网格生成方法,该方法通过投影求交计算得到目标表面各三角面元与网格线的交点,将每条网格线与三角面元的交点按坐标进行排序,根据交点的坐标及其编号的奇偶性确定FDTD共形网格的位置,并生成相应的共形FDTD计算所需的元段长度。结合处理理想导体曲面的CFDTD方法修正共形网格上的磁场递推式。数值结果证实了共形网格生成方法的正确性和在提高FDTD方法计算精度方面的有效性。

A conformal mesh-generating technique for FDTD analysis based on the object data originated from triangle-patch modeling in commercial software is presented. The crossing-points between grid lines and triangle-patch on the surface of objects are calculated using the projection and cross-point method. These cross-points are collated according to their coordinate values. The locations of conformal meshes and the corresponding length of the edges, which are used in the conformal FDTD method, are derived by considering the coordinates and the serial number＇s parity of crossing-points. The conformal FDTD method, in which the magnetic field formulas are modified while the grid is on the curved surface, is then used to deal with electromagnetic scattering by a curved perfectly electric conducting object. The numerical results validate the mesh generating technique.