气动外形表面雷达吸波涂层问题电磁散射场的数值模拟

研究了将无覆盖区域分裂与精确控制法相结合、用于气动外形表面雷达吸波涂层问题电磁散射场的数值求解方法.无覆盖区域分裂是按空气和涂层两种不同介质物理分区要求进行的,子域交界处离散网格彼此之间可以是非匹配的,以便处理不同介质的不同网格尺度要求.电磁波通过子域交界面的约束条件是通过引入Lagrange乘子而弱满足.整个求解过程包含基于精确控制的外迭代和基于Lagrange乘子控制的区域分裂内迭代.最后计算给出了二维翼型气动外形涂层问题的电磁散射场,并与对应的无涂层外形的计算结果进行了比较,反映出表面涂层对电磁散射场的影响.

SIMULATION OF SCATTERING WAVES IN 2-D COATED AERODYNAMIC SHAPES

An approach of exact controllability combined with non-overlapping domain decomposition associated to the physical layer structure of air and coated material media is presented for simulations of the scattering of planar waves in 2-D coated aerodynamic shapes.Domain decomposition with non-matching finite element meshes at the interface is introduced,which allows to use different numbers of grid points required by different media.The conditions of compatibility at the interfaces between each subdomain are satisfied weakly by a Lagrange multiplier technique.The whole structure of the algorithm includes one outer loop for capturing time periodic solutions based on exact controllability and one inner loop for domain decomposed solutions through a treatment of Lagrange multiplier.Numerical results of the scattered fields are presented and compared for both perfectly conducting and coated aerodynamic shapes like 2-D airfoils,which reveal the effect of the coated layer.