| 基于JASMIN框架的抛物方程有限差分解法并行计算及其应用 |
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| 引用本文： | 张青洪,廖成,李瀚宇,周海京,刘强,盛楠.基于JASMIN框架的抛物方程有限差分解法并行计算及其应用[J].强激光与粒子束,2015,27(8):083204. |
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| 作者姓名： | 张青洪 廖成 李瀚宇 周海京 刘强 盛楠 |
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| 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 ; |
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| 摘 要： | 抛物方程有限差分解法的网格步长严格受波长限制,在求解城市小区电波传播问题时,计算速度明显变慢,为此,基于JASMIN框架研究了抛物方程有限差分解法的并行方法,通过将同一步进面划分成多个网格片,并分配到不同的处理器进行运算,实现了抛物方程有限差分解法的并行计算。与解析解的对比验证了并行程序的正确性,同时通过实例分析了并行程序的高效性,算例表明,抛物方程有限差分解法的求解效率得到了有效的提高。最后,模拟和分析了某一电信基站天线在包含9栋规则建筑物的城市小区环境中的电磁特性,结果表明,该方法能够得到基站在空间各处的信号覆盖强弱,可以为基站选址提供参考。
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| 关 键 词： | 抛物方程 有限差分解法 JASMIN框架 并行计算 城市小区 |
| 收稿时间： | 2015-01-04 |
Parallel computing of finite difference algorithm for parabolic equation based on JASMIN and its application |
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| Affiliation: | 1.Institute of Electromagnetics,Southwest Jiaotong University,Chengdu 610031,China;2.Institute of Applied Physics and Computational Mathematics,Beijing 100094,China |
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| Abstract: | The computation speed will decrease dramatically in solving the radio wave propagation problems in urban cells for the reason that the grid step of finite difference algorithm for parabolic equation is strictly restricted by wavelength. To solve this problem, the parallel method of finite difference parabolic equation is studied based on JASMIN framework, which is realized by dividing the step surface into multiple patches and being assigned to different processors, and the correctness is verified by comparing with analytic solution. Meanwhile, the efficiency of parallel program is further analyzed. The example shows that the solution efficiency of the finite difference parabolic equation is improved effectively. Finally, the electromagnetic characteristics of a telecom base station in urban cell with nine regular buildings are simulated and analyzed. It shows that the covering characteristics of the base station can be obtained, which will provide reference for the base station location. |
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