Parallel Finite Element Analysis Based On Domestic Supercomputers

Finite element method(FEM)is widely used in precise electromagnetic simulation of complex fine structures.In this method,the sparse matrix generated by discrete electromagnetic field differential equation is not good,and there are many problems such as large computation and slow iteration convergence.In this paper,parallel finite element method(FEM)is studied based on domestic supercomputer,balanced mesh generation strategy based on graph partition theory is studied in parallel filling sparse matrix process,and highly scalable parallel direct solution algorithm is studied in parallel solving process of sparse matrix equation.By breaking through the key technology of parallel filling and solving sparse matrix equation,the goal of improving the speed and scale of finite element calculation is achieved.Firstly,the iterated integral equation of finite element method is introduced,and the basic principle of this method is introduced.This technology can introduce as little extra computation as possible and has high efficiency.Focusing on the problems of insufficient memory and too long consuming time when using finite element method to calculate complex structure and electrically large targets,the implementation of large-scale finite element method is studied in this paper.The balanced meshing strategies that based on graph segmentation theory,and the sparse matrix reordering techniques are adopted to improve the performance and scalability of the program.The balanced meshing strategies that based on graph segmentation theory can ensure that the grid is divided equally into sub-regions and the number of interface grids is reduced,thus reducing the traffic.The sparse matrix reordering techniques is to reorder the filled impedance matrix to improve the locality and reusability of the data after reordering.The parallel scale of finite element method is successfully exceeded to 1000 CPU cores on the Tianhe-2 supercomputer,and the parallel efficiency is above 65%.After validating the reliability of the calculation results on Tianhe-2 computing platform,the electromagnetic problems were calculated on Shenwei series supercomputers.The parallel finite element calculation with 2000 CPU core was successfully broken through,and the parallel efficiency was over 80%.The metal scattering problems of 20 million unknown scales and tens of millions of unknown narrow-edge slot waves were verified by calculation successively.The radiation problem of antenna is analyzed and compared with the calculation results of HFSS.In this paper,heterogeneous parallel technology is used on domestic supercomputers to reduce computing time,in which aircraft scattering calculation has five times the acceleration effect.The feasibility of the algorithm is verified,which lays a foundation for calculating larger scale electromagnetic environment problems in the future.