抛物方程方法的非均匀网格技术研究

为了快速准确地求解大尺度区域环境中存在局部精细结构的电波传播问题，研究了抛物方程方法的非均匀网格技术.利用该技术求解了标准大气结构中不规则地形上的电波传播问题，研究了基于该技术计算传统抛物方程非整格点场值的方法.算例结果表明：非均匀网格抛物方程方法相较于均匀细网格结构，其网格空间下降达68%，计算时间减少了71%，而相对于均匀粗网格结构则具有更高的计算精度.因此，采用非均匀网格的抛物方程方法能在保证计算精度的同时，减少计算所占内存及所需时间，极大地提高了计算效率，适用于求解复杂环境中的电波传播问题.

Non uniform mesh technique for parabolic equation

The nonuniform mesh technology of parabolic equation method is studied for the purpose of rapidly and accurately solving the radio wave propagation problems in large region with local fine structures.The radio propagation on irregular terrain with the standard atmospheric structure is calculated.In addition, the approach to deal with the field value on the nongrid points of conventional parabolic equation method is discussed.Both of them are based on the nonuniform mesh technology.The parabolic equation method with nonuniform mesh can make the grid number decreased by 68% and the computational time reduced by 71% compared with the uniform fine grid in testing, and has higher precision compared with the uniform coarse grid.This demonstrates that the nonuniform mesh parabolic equation method can improve the computational efficiency greatly and is suitable for solving the radio propagation problems in complex environment.