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抛物方程的多重非均匀网格模型及其应用
引用本文:张青洪,廖成,盛楠,李瀚宇,周海京. 抛物方程的多重非均匀网格模型及其应用[J]. 强激光与粒子束, 2014, 26(5): 053202-221. DOI: 10.11884/HPLPB201426.053202
作者姓名:张青洪  廖成  盛楠  李瀚宇  周海京
作者单位:1.西南交通大学 电磁场与微波技术研究所, 成都 61 0031 ;
基金项目:国家自然科学基金委和中物院联合基金项目(U1330109);中物院复杂电磁环境科学与技术重点实验室基金项目;2014年西南交通大学博士研究生创新基金和中央高校基本科研业务费专项资金项目
摘    要:提出了抛物方程的多重非均匀网格模型,以准确求解三维空间存在多辐射源的电波传播问题。通过对不同辐射源建立不同的坐标系,并对其仿真空间采用不同的非均匀网格划分,构建了抛物方程的多重非均匀网格模型。在此基础上,实现了三维多辐射源问题的并行计算。实例仿真了空间存在四个辐射源的电波传播特性。结果表明,抛物方程的多重非均匀网格模型能够准确求解多源的空间电磁场分布特性,且在该算例中,并行技术使得抛物方程的计算速度提升了2.41倍,极大地提高了抛物方程对三维多源问题的求解效率。

关 键 词:抛物方程   多辐射源   多重非均匀网格   并行计算
收稿时间:2013-11-11

Multi non-uniform grid model of parabolic equation and its application
Affiliation:1.Institute of Electromagnetics,Southwest Jiaotong University,Chengdu 610031,China;2.Institute of Applied Physics and Computational Mathematics,Beijing 100094,China
Abstract:The multi-non-uniform grid model of parabolic equation method is presented to solve the radio wave propagation problems with multiple sources in three-dimensional space. Multiple simulation spaces are constructed with different non-uniform grid for each source in corresponding coordinate system. In addition, a parallel technique is employed into multi-non-uniform grid model for the parallel computing of multiple sources problems in three-dimensional space. The radio wave propagation problem with four sources is simulated. The results show that the electromagnetic distribution characteristics of multi-source can be accurately solved via this multi-non-uniform grid model, and in this case, the parallel technique makes the calculation speed of parabolic equation 2.41 times faster, which greatly improves the solution efficiency of 3D multi-source problems.
Keywords:parabolic equation  multi radiating sources  multi non-uniform grid  parallelism calculation
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