A domain decomposition method for analysis of three-dimensional large-scale electromagnetic compatibility problems
A domain decomposition method for analysis of three-dimensional large-scale electromagnetic compatibility problems
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发表时间：
2012
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通讯作者：
Xiao-chuan Wang
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作者：
Xiao-chuan Wang
本论文研究了解决涉及大型复杂电气平台的电磁兼容性（EMC）问题的数值方法。飞机上天线耦合的数值模拟引起了 EMC 界的极大兴趣。传统的计算电磁学 (CEM) 求解器在建模此类问题时效率低下且缺乏灵活性。挑战之一来自于几何结构中的多尺度物理，其中包含电大平台和电小结构天线。此外，使用传统的 CEM 求解器时，用户可能会面临在基于偏微分方程 (PDE) 的方法（例如有限元法 (FEM)）和基于积分方程 (IE) 的方法之间进行选择的困境。有限元法 (FEM) 在建模复杂材料时方便且准确，但需要体积网格；而基于积分方程 (IE) 的方法只需要表面离散化，但在复杂材料的天线建模中不方便。在本论文中，提出了一种多求解器域分解方法（MSDDM）来对电气大型复杂结构问题进行建模。使用MSDDM，天线耦合问题可以分解为天线子域和平台子域，可以应用不同的CEM求解器。这提供了一种预处理全局系统的有效方法。它混合了基于 PDE 的方法和 IE 方法的优点。此外，MSDDM 中的 CEM 求解器
This dissertation work investigates the numerical method for solving Electromagnetic Compatibility (EMC) problems involving electrically large and complex platform. Numerical simulation of the antenna couplings on the aircraft is of great interest in EMC community. Conventional Computational Electromagnetics (CEM) solvers suffer inefficiency and inflexibility in modelling this kind of problems. One of the challenges comes from the multi-scale physics in the geometry containing both electrically large platform and antennas with electrically small structures. Also, using conventional CEM solvers, the user may have the dilemma of choosing between the Partial Differential Equation (PDE) based methods , like Finite Element Method (FEM), which are convenient and accurate in modelling complex materials but requires volume mesh, and Integral Equation (IE) based methods, which only require surface discretization but are not convenient in modelling antennas with complex materials. In this dissertation, a Multi-Solver Domain Decomposition Method (MSDDM) has been proposed to model the problems with electrically large and complex structures. Using MSDDM, the problem of antenna coupling can be decomposed into antenna sub-domains and platform sub-domains, for which different CEM solvers can be applied. This gives an efficient way to precondition the global system. It hybridizes the strength of PDE based methods and IE methods. Also, the CEM solvers in MSDDM