Study Of DGTD Algorithm On Electromagnetic Scattering Theory And Its Applications

The analysis of the electromagnetic scattering characteristic of the target is an important and hotspot topic of modern radar, which has great significance on the national economy and national defense construction. With the development of computational electromagnetics and computer technology, theoretical modeling and numerical methods have become the basic means in the current analysis of electromagnetic scattering characteristics. Among the many computational electromagnetics methods, electromagnetic numerical methods have been accepted due to its high precision.Discontinuous Galerkin method is a numerical method for solving numerical partial differential equations, which divide computing space into a number of non-overlapping sub-domains, using higher-order basis functions in each sub-field to the approximation of problems treatment, then utilizing weighted residual method to solve problem by using the detection function which same as basis functions in the sub-region, the numerical flux is defined to connect each sub-domain. Discontinuous Galerkin method combines the advantages of the finite element method and finite volume method, it provide a modeling flexible and high accuracy. Because of these characteristics, time-domain discontinuous Galerkin method is introduced to calculate electromagnetics, and many computational electromagnetics workers efforts made it to fruition. In this paper, we studies the theoretical of discontinuous Galerkin time domain discontinuous Galerkin method for solving electromagnetic scattering problems, specifically including the following aspects.First of all, the existing studies of time-domain discontinuous Galerkin methods are summarized, we discuss the core idea and the solution process of the discontinuous Galerkin method in detailed. We study the time-domain discontinuous Galerkin method for solving Maxwell's equations specific derivation and use of the method for calculating electromagnetic scattering problems.Secondly we present a discontinuous Galerkin method based on regular hexahedral to overcome the shortcomings of calculating inefficient in solving scattering problem of large target. By studying this method, a simple and efficient EMF iteration scheme is proposed, the accuracy and validity of the method is confirmed by comparison with existing methods. Compared with the existing method, discontinuous Galerkin method based on regular hexahedral improves the computational efficiency, reduce computer storage requirements, and further enhance the ability of time-domain discontinuous Galerkin method for calculating the large target.Finally, the parallel of the algorithms time-domain discontinuous Galerkin method is studied, we give the parallel model and program. The algorithm is realized in the cluster consisting of several PCs, and the parallel programs were optimized.