High Performance Method Of Moments And Its Application In Electromagnetic Simulation Of Complex Targets

With the development of defence-related technology,community economy,and modern electromagnetic engineering,researchers in many fields are more and more interested in the accurate numerical simulation of electromagnetic field of complex targets.However,the requirements of high simulation accuracy,the simulation demand for electrically large and multi-scale targets,the pursuit of simulation velocity,pose a series of challenge to the simulation capabilities of modern Computational Electromagnetics.Especially the rapid increase in electrical size,make the computing resources required grows exponentially.At the same time,the rapid development of high-performance computing has brought new opportunities and challenges to Computational Electromagnetics.With the powerful performance of supercomputers,the simulation capability of the current electromagnetic algorithm can be improved by several orders of magnitude under the premise that the accuracy of the guarantee is not reduced.However,the computing power of the supercomputer cannot be converted into electromagnetic simulation capability automatically.In order to make full use of the advantages of high performance computing,one must develop the corresponding parallel algorithm and heterogeneous algorithm.Under this background aiming to get accurate electromagnetic simulation results for complex targets with large size and fine structure in the actual electromagnetic engineering,the parallel MoM and the parallel heterogeneous covariance MoM are studied and applied to practical electromagnetic engineering after the key technology of high performance MoM broken.The following aspects are mainly studied,and a number of research results are obtained: 1)Based on the general electromagnetic field integral equation and the general subdomain basis principle,the general MoM,which can be used to deal with the Electromagnetic Boundary Value problem with complex metal-dielectric target,of two kinds of basis functions(RWG and HOB basis function)is implemented.2)In order to improve the usage of multi-level storage architecture and vectorization computation of modern CPU,the micro-optimization method is performed.The performance of the MoM is improved by 10.3)In order to extend the scale of the problem that MoM can solve and accelerate simulation,the parallel MoM is achieved using parallel computing.In order to reduce the redundancy calculation and useless computation when constructing the impedance matrix,a new parallel filling strategy named "ordering optimization" and "pre-selection" is proposed,which improves the performance of the impedance matrix filling process by 3 ~ 20 times.In order to solve the problem of dense matrix equations generated by MoM,a new solver is proposed,getting independent guarantee on homemade supercomputer based on the domestic processor and performing better than commercial mathematics library on commercial supercomputer.4)In order to accelerate MoM further,the parallel heterogeneous coherence MoM is achieved using heterogeneous computing and parallel computing on both CPU/GPU and CPU/MIC heterogeneous platforms.5)On the "Tianhe-2" supercomputer platform,the parallel scale of the proposed MoM exceeds 200,000 CPU cores,successfully solving a matrix problem with 100 million unknown.The accurate simulation of the electromagnetic problem with 400-wavelength is made possible.An efficient fault-tolerant algorithm that can deal with process crash is also implemented.6)Achieving the normal use of million CPU cores,and getting accurate solution for the electromagnetic problem with million unknowns(corresponding to hundreds of wavelength electrical size)within 3 to 6 hours,MoM can provide accurate and reliable simulation results efficiently for large-scale array design,airborne platform,analysis of array antenna with cover,analysis of target characteristic and other system-level electromagnetic problems.In general,on the basis summarization of the research results of domestic and foreign scholars,a systematic and in-depth study on high performance MoM is presented,and a series of methods to solve electromagnetic problem in practical engineering is proposed.On the premise of accuracy,it can solve as much electromagnetic problems as possible at a higher efficiency,taking into account the accuracy,efficiency and universality.It also expands the application of the precise method in practical engineering,and reduces the development cycle of electromagnetic related equipment in the field of national defense technology and civilian.