卫星目标电磁散射的高效区域分解边界积分法  

Efficient domain decomposition method of boundary integral equation for electromagnetic scattering of satellite targets

作　　者：辛熙敏 高红伟 鲁帆[2] 马炳[2] 盛新庆[1] XIN Ximin;GAO Hongwei;LU Fan;MA Bing;SHENG Xinqing(Beijing Institute of Technology,Beijing 100081,China;Beijing Institute of Spacecraft System Engineering,Beijing 100094,China)

机构地区：[1]北京理工大学,北京100081 [2]北京空间飞行器总体设计部,北京100094

出　　处：《电波科学学报》2023年第2期218-226,共9页Chinese Journal of Radio Science

基　　金：国家自然科学基金(61801023);北京理工大学青年教师学术启动计划。

摘　　要：近年来,严峻的空天安全问题致使卫星的电磁散射特性分析与控制倍受关注.典型卫星主要由主体、太阳翼和多用途天线等部件组成,呈现多尺度的几何特性,给电磁建模技术带来了挑战.面向卫星的电磁散射特性分析,本文采用不连续伽辽金区域分解积分方程(discontinuous Galerkin domain decomposition method of integral equation,DG-DDM-IE)方法构建准确且灵活的计算模型,并基于以往对角区域块(diagonal domain block,DDB)预条件和稀疏近似逆(sparse approximate inverse,SAI)预条件的数值性能研究结果,针对多尺度情况提出一种经济高效的混合型预条件以提高DG-DDM-IE方法的计算能力.复杂多尺度卫星目标数值实验证明,该DG-DDM-IE方法在消耗较少内存的条件下仍保证良好的收敛性和可扩展性.In recent years,the analysis and control of the electromagnetic scattering characteristics of satellites have received much attention because of the serious air and space safety problems.Typical satellites are mainly composed of main body,solar wings and multi-purpose antennas,and exhibit multi-scale geometric characteristics,which brings challenges to electromagnetic modeling technologies.Aiming at the analysis of electromagnetic scattering characteristics of satellites,this paper applies the discontinuous Galerkin domain decomposition method of integral equation(DG-DDM-IE)method to construct accurate and flexible modellings.Importantly,a cost-effective hybrid preconditioner is proposed for the multi-scale cases to improve the capability of the DG-DDM-IE method based on previous research on the diagonal domain block(DDB)preconditioner and the sparse approximate inverse(SAI)preconditioner.Numerical experiments on an object of complex multi-scale satellite show that the proposed DG-DDMIE method has good convergence and scalability while consuming less memory.

关 键 词：卫星 多尺度 边界积分方法 区域分解 预条件 电磁散射 

分 类 号：O441[理学—电磁学]