DGTD Method Based On JAUMIN Framework And Its Applications

With the development of computer performance and distributed cluster technology,it is more and more meaningful to develop parallel algorithms for cluster networks.The performance of parallel algorithms is directly related to the performance of hardware resources,the improvement of hardware resources and hardware performance means the direct improvement of algorithm performance,using the rapid development of hardware technology in recent years,parallel algorithms can solve large-scale complex problems faster and more efficiently than the theoretical slow speed of improvement.The performance improvement of parallel algorithm is more effective,and has very important application value.In this paper,the parallel discontinuous Galerkin time-domain algorithm based on JAUMIN framework is studied,and the algorithm is applied on Tianhe-II platform to the solution of electromagnetic problems of actual large electrically object.The work includes the following aspects:1.Analysis,boundary conditions and excitation source of the electromagnetic modeling and implementation in DGTD algorithm: On the basis of the DGTD scheme,the numerical flux construction process of the Maxwell equation is discussed in detail,and the corresponding numerical flux representations under different boundary conditions or excitation sources are studied,by modifying the form of numerical flux.The electromagnetic modeling and introduction of various boundary conditions and excitation sources in the DGTD method are realized,including perfect electric conductor(PEC),total field-scattering field boundary,absorbing boundary,excitation source conditions including plane source,lumped port source and wave port source.2.Research and program development of DGTD algorithm based on JAUMIN,which is a parallel unstructured grid framework: The process of developing parallel DGTD algorithm based on JAUMIN framework is studied.The JAUMIN includes strategy layer and implementation layer,strategy layer to develop algorithm,and realize the concrete algorithm on implementation layer.3.The numerical simulation of electromagnetic scattering,radiation and compatibility of complex target with DGTD: a resonant problem is used to analyze the convergence of the DGTD method,some typical examples are tested in the scattering problem,the lumped port excitation problem and the wave port excitation problem,which is compared with analytic solution or commercial software.This paper verifies the accuracy of the parallel DGTD algorithm based on JAUMIN framework in scattering problem and radiation problem,and tests the problem of scattering and electromagnetic compatibility of the target,the results on the Tianhe-II platform verify the applicability and accuracy of the parallel DGTD algorithm in the problem of complex large electrically target.The parallel scale of the algorithm reaches the level of thousand cores.