Study on parallel methods of three-dimension parabolic equation for complex electromagnetic environment simulation

The parabolic equation (PE) method is an appropriate approach for the complex electromagnetic environment (CEME) simulation. For the issue of large-scale CEME simulation, parallel computing can be employed to accelerate the computational process efficiently. In this paper, a new efficient parallel method of three-dimension parabolic equation (3DPE) for the CEME simulation is proposed. As far as the simulation of a very large domain is concerned, domain decomposition method (DDM) is very efficient to speed up the calculation. The whole calculation domain is decomposed into many subdomains first, and the different finite difference (FD) can be used at interface points and interior points. Although the DDM can obtain the ideal parallel efficiency, it is very difficult to realize the process for the irregular terrain. When the computational domain is not very large, parallel direct FD method can be employed to speed up the process. First, the appropriate FD schemes are adopted, and the linear equations can be obtained. Then the parallel computing is employed to accelerate the solution of obtained equations. The parallel methods are tested by some numerical experiments, and the results indicate that these methods can obtain the satisfactory speedup.